Which value from the set
{1/2, 2/3, 4/3,5/2} is a value of x that will make the equation 3/4 + x = 9/8 true?
a.2/3
b.4/3
c.5/2
d.1/2

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

that does not say + it a division sign  how to got 2/3

(3/4) / x = (9/8)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((3/4) / x)x = (9/8)x

Which equals:

(3/4) = (9/8)x

Then we divide each side by 9/8 to like this:

(3/4) / (9/8) = ((9/8)x) / (9/8)

(3/4) / (9/8) is 2/3 and ((9/8)x) / (9/8) leaves x which means we end up with x = 2/3. Therefore, the answer to "3/4 divided by what equals 9/8?" is as follows:

2/3

It is always good to double-check your math to make sure you did it right. When we entered 2/3 for x in this equation (3/4) / x = (9/8), we get the following true equation which means our math is correct.

(3/4) / (2/3) = (9/8)

Answer 2

The value of x will be 2/3

What is an equation?

Equation: An equation is basically a statement that equates two expressions.

An equation must contain an "equality" sign.

Given,

3/4 + x = 9/8

Let us make it correct . Replace + sign with / to get the required answer.

(3/4) / x = (9/8)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((3/4) / x)x = (9/8)x

(3/4) = (9/8)x

Then we divide each side by 9/8 to like this:

(3/4) / (9/8) = ((9/8)x) / (9/8)

(3/4) / (9/8) is 2/3 and ((9/8)x) / (9/8) leaves x which means we end up with x = 2/3.

Therefore, the answer to "3/4 divided by what equals 9/8?" is as follows:2/3

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Related Questions

What part of this question is an hour

Answers

Answer is 291 minutes of an hour
291 of 60 minutes
97/20 of an hour as a fraction

Step by step
11:24 to 12:00 is 36 minutes
12:00 to 4:15 is 255 minutes
Total minutes passed is 291 minutes
291 minutes over 1 hour
291/60 minutes
Simplify to 97/20 as a fraction
4.85 as a fraction

What is the measure of Zz?
140°
80°
Z

Answers

Answer:

60

Step-by-step explanation:

140 = 80 + z

z = 60

Answer:

60°

Step-by-step explanation:

The whole angle is 140° and one side is 80°. Now, you just have to subtract 140 and 80 to get 60. I hope this helps!

Here is a list of numbers: 2 , 8 , 1 , 7 , 4 , 10 , 1 , 15 , 20 State the median.

Answers

Answer:

7

Step-by-step explanation:

1, 1, 2, 4, 7, 8, 10, 15, 20

median = 7


What is the slope of a line passing through (-4,-5)
and (-2,-9)?

Answers

Gradient
= (y2-y1)/(x2-x1)
= (-9-(-5))(-2-(-4))
= (-4)(2)
= -8

Answer:

slope = - 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 5 ) and (x₂, y₂ ) = (- 2, - 9 )

m = [tex]\frac{-9-(-5)}{-2-(-4)}[/tex] = [tex]\frac{-9+5}{-2+4}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

Let u - 4x? - 1. Find du. (4-1) du - Indicate how the limits of integration should be adjusted in order to perform the integration with respect to u. (Enter your answer using interval notation.) [0, 1] - Evaluate the definite integral. 01 Need Help? Read to a Tutor Consider the following. Let u = x + 1. Find du. du- Indicate how the limits of integration should be adjusted in order to perform the integration with respect to L. (Enter your answer using interval notation, [0, 2] - Evaluate the definite integral.

Answers

The value of du becomes 4 by integration.

According to the statement

we have given a two statement which are u - 4x and  u = x + 1.

And we have to find the value of du by the use of integration.

An Integral assigns numbers to functions in a way that describes the data.

So,

From u  - 4x

here du becomes by derivative

du - 4dx/du

du = 4dx/du.  -(1)

And in u = x + 1.

here du becomes

du = dx/du  -(2)

by comparing both terms from equation (1) and (2) we get the value of du

du = 4.

the value of du is 4.

So, The value of du becomes 4 by integration.

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Write an equation of the line in slope-intercept form that is parallel to the line y= -4 + 2 and passes through (2,4)

Answers

Answer:

Step-by-step explanation:

If the lines are parallel, it means that the slopes are the same.  To write an equation in the slope intercept form, we need the slope and the y-intercept.  We are given the slope.  We need to find the y-intercept.  We can use the slope and the point to help us.  The point is written in the form (x,y).  In this case the point is (2,4) so we will use 2 for x and 4 for y.

y = mx + b  Plug in what we know

4 = -4(2) + b  b is what we are looking for.  It is the y-intercept

4 = -8 + b  Now add 8 to both sides

12 = b

Now we can write the equation:

y = -4x +12

Please list how long it takes for each person to pack a shelf alone

Jay and Kay can pack the shelves in one aisle of the supermarket in 30 minutes.

Kay and Elle take 35 minutes to do the same job.

When Jay and Elle work together, the job takes 42 minutes.

How long would each person take working individually?

Answers

It takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

What is Rate and Ratio ?

A ratio can sometimes be regarded as fraction. While rate has something to do with time.

Given that Jay and Kay can pack the shelves in one aisle of the supermarket in 30 minutes. Kay and Elle take 35 minutes to do the same job. When Jay and Elle work together, the job takes 42 minutes.

Let

J = Jay K = KayE = Elle

The interpretation of the question go thus;

1/J + 1/K = 1/30 ........ (1)

1/K + 1/E = 1/35 .........(2)

1/J + 1/E = 1/42 .........(3)

Make 1/J and 1/E the subject of formula in equation 1 and 2 respectively and substitute them in equation 3

1/J = 1/30 - 1/K  ........ (4)

1/E = 1/35 - 1/K  .........(5)

1/30 - 1/K + 1/35 - 1/K = 1/42

Collect the like terms

- 1/K - 1/K = 1/42 - 1/30 - 1/35

-2/K = (35 - 49 - 42)/1470

-2/K = -56/1470

1/K = 28/1470

Reciprocate both sides

K = 1470/28

K = 52.5 minutes.

Substitute K in both equation 4 and 5

1/J = 1/30 - 28/1470

1/J = (49 - 28)/1470

1/J = 21/1470

Reciprocate both sides

J = 1470/21

J = 70 minutes

1/E = 1/35 - 28/1470

1/E = (42 - 28)/1470

1/E = 14/1470

Reciprocate both sides

E = 1470/14

E = 105 minutes

Therefore, it takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

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Select all of the following problem situations that involve permutations. How many ways can you arrange 4 of the letters of the word SOLVE if no letter can be used more than once

Answers

There are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.

Given a word of 4 letters of the word "SOLVE".

We are required to find the number of ways the four letters of the word SOLVE if no letter can be used more than once.

Permutation is an arrangement of objects in a definite order of things.

Factorial of a number is the product of it and its lesser numbers upto 1.

Number of letters=4

Number of ways=4!

=4*3*2*1

=24 ways

Hence there are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.

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8 x -1/4 x -7 cara ngerjain nya bagaimana?

Answers

Ans is + 14
8*(-1/4)*-7
=2*(-1)*(-7)
=14

PLS HELP ME PLEASE
To measure the distance across a lake, a surveyor has taken the measurements shown in the diagram below. Determine the distance across the lake.

Answers

Using the law of cosines, it is found that the distance across the lake is of 978.5 feet.

What is the law of cosines?

The law of cosines states that we can find the angle C of a triangle as follows:

[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]

in which:

c is the length of the side opposite to angle C.a and b are the lengths of the other sides.

In this problem, the parameters are:

a = 800, b = 900, C = 70º.

Hence the distance across the lake is c, found as follows:

[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]

c² = 800² + 900² - 2(800)(900)cos(70º)

c² = 957491

[tex]c = \sqrt{957491}[/tex]

c = 978.5.

The distance across the lake is of 978.5 feet.

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If the coordinates of two points are A (-3,5) and B (-9, -6), then find the value of (abscissa of A) + (ordinate of B)​

Answers

Answer:

abscissa of A = -3

ordinate of B = -6

A+B = -3+(-6)= -3-6=

-9

Someone help pls, its urgent! ASAP!!! (Geometry)
“Complete the proofs”

Answers

Question 11

1) [tex]\overline{BA} \cong \overline{FA}[/tex], [tex]\angle 1 \cong \angle 2[/tex] (given)

2) [tex]\angle A \cong \angle A[/tex] (reflexive property)

3) [tex]\triangle AEB \cong \triangle ACF[/tex] (ASA)

4) [tex]\overline{AC} \cong \overline{AE}[/tex] (CPCTC)

Question 12

1) Isosceles [tex]\triangle ACD[/tex] with [tex]\overline{AC} \cong \overline{AD}[/tex], [tex]\overline{BC} \cong \overline{ED}[/tex] (given)

2) [tex]\angle ACD \cong \angle ADC[/tex] (angles opposite congruent sides in a triangle are congruent)

3) [tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] are supplementary. [tex]\angle ADC[/tex] and [tex]\angle ADE[/tex] are supplementary (angles that form a linear pair are supplementary)

4) [tex]\angle ACB \cong \angle ADE[/tex] (supplements of congruent angles are congruent)

5) [tex]\triangle ABC \cong \triangle AED[/tex] (SAS)

6) [tex]\overline{AB} \cong \overline{AE}[/tex] (CPCTC)

7) [tex]\triangle ABE[/tex] is an isosceles triangle (a triangle with two congruent sides is isosceles)

Note: I changed the names of the segments in Question 11 because of the word filter.

Peter sells ice cream for a living. On Monday, his revenue was 150 dollars. On Tuesday, his revenue was 100 dollars. Finally, on Wednesday, his revenue was 50 dollars. How much is Peter's revenue so far?

Answers

Answer:

300 dollars

Step-by-step explanation:

Note that:

{Peter's revenue on Monday: 150 dollars

Peter's revenue on Tuesday: 100 dollars

Peter's revenue on Wednesday: 50 dollars}

---------------------------------------------------------------

In this problem, we need to find how much is Peter's revenue so far (total).

We need to use addition to determine how much Peter's revenue is in total.

So, add 150, 100, and 50.

We get 150 + 100 + 50 = 300

Finally, Peter's revenue in total is 300 dollars.

Answer:

$300

Step-by-step explanation:

add 150+100+50

=300

which facts are true for the graph of the function below check all that apply F(x)=log6x

Answers

Based on the graph of the function (F(x) = log6x), the following facts are true:

It is increasing. The x-intercept is (1, 0).

What is a graph?

A graph is a type of chart that is used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.

By critically observing the graph of the function (F(x) = log6x) attached in the image below, we can infer and logically deduce that its domain and range include all real numbers that are greater than 0 (x > 0).

This ultimately implies that, the following facts are true:

It is increasing. The x-intercept is (1, 0).

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Complete Question:

Which facts are true for the graph of the function below? Check all that apply. F(x) = log6 x

A. It is increasing.

B. The range is y > 0.

C. The x-intercept is (1, 0).

D. It is decreasing.

E. The y-intercept is (0, 6).

F. The domain is x > 6.

I need help finding m

Answers

Answer:

i need this too hahahaha

help!>> Which is the best first step in solving the
absolute value inequality
-3 5x+6+1 >6?

Answers

The answer to this is 16 because I did the math and that’s the answer

Answer:

see explanation

Step-by-step explanation:

- 3 | 5x + 6 | + 1 ≥ 6

First step : subtract 1 from both sides

- 3 | 5x + 6 | ≥ 5

8. Find (f+g)(x) if f(x) = 4x² - 5x and g(x) = 3x² + 6x - 4.​

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: (f + g)(x)[/tex]

[tex]\qquad \sf  \dashrightarrow \: f(x) + g(x)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (4 {x}^{2} - 5x) + (3 {x}^{2} + 6x - 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 7 {x}^{2} + x - 4[/tex]

An example of a qualitative variable is Multiple Choice number of children in a family. weight of a person. color of ink in a pen. miles between oil changes.

Answers

Due to its subject-specific classification, ink color in pens is a qualitative variable.

What is a Qualitative variable?The factors that cannot be measured with a numerical value are known as qualitative variables. In order to define anything, these quantities are not quantified or tallied; instead, data is categorized.There is no numerical way to express it.Quantitative variableThe other choices are erroneous because the variables that are numerically specified in the other choices—an individual's weight, the number of children, and the number of miles—are these.Therefore, all of those are quantitative variables.

Consequently, option (C) is the appropriate choice.

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The sunshade on one set of equipment has a square base of 120 cm and a height of 50 cm. The
sunshades are open-bottomed square based pyramids. This means that the base is not included.
a. Determine the total surface area, in m², of the sunshade.

Answers

The total surface area, in m², of the sunshade is 0.4344 m²

How to calculate surface area of a squared pyramid ?

A pyramid can have a squared base, rectangular base or other polygons. The formula we can to find the total surface area of a squared pyramid is

Surface Area = P x l/2

Where

P = base parameterl = slant height

Given that a sunshade on one set of equipment has a square base of 120 cm and a height of 50 cm. That means that the length L of the base will be  120 cm and half of it will be 60 cm

To find the slant height l, we will use Pythagoras theorem.

[tex]l^{2}[/tex] = 60² + 50²

[tex]l^{2}[/tex] = 3600 + 2500

[tex]l^{2}[/tex] = 6100

l = √6100

l = 78.1 cm

convert it to meter

l = 78.1/100

l = 0.781 m

The perimeter P of the base = 4 x 120/100 = 4.80 m

The Surface Area = P x l/2

Substitute all the necessary parameters into the formula

Surface Area = 4.80 x 0.781/2  

Surface Area = 1.8744 m²

If the sunshades are open-bottomed square based pyramids, this means that the base is not included. That is, the area of the base should be taken away from the answer above.

Area of the base = 120/100 x 120/100 = 1.44 m²

The total surface area, in m², of the sunshade will 1.8744 - 1.44

The total surface = 0.4344 m²

Therefore, the total surface area, in m², of the sunshade is 0.4344 m²

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ind the hypotenuse of the following triangle. [2]


This is a RIGHT ANGLE triangle!

Answers

c2 =a2 +b2

that's the rule

for example

c2=5^2+5^2

c2=25+25

c2=50 square root is

c=7.07^2

(Lesson 1.3) Use properties to find the sum or product. (3,5,7,9,11 only)

Answers

The values when the given numbers are multiplied will be:

230

78

3

91

1800

How to compute the values?

3. 5 × 23 × 2

It should be noted that the given information simply means that we should multiply 5 by 23 by 2. This will be:

= 5 × 23 × 2

= 230

5. 34 + 0 + 18 + 26

This information simply means that we should add thirty four, eighteen, and twenty six together. This will be:

34 + 0 + 18 + 26 = 78

7. (3 × 10 × 8) = ....... × (10 × 8)

(3 × 10 × 8) = 3 × (10 × 8)

9. 0 + ...... = 91

It simply means the number that will be added to zero that will give ninety one. This will be 91.

11. The total income for the theater will be:

= (20 × 18) × 5

= 1800

Therefore, the correct values based on the computation will be 730, 78, 3, 91, and 1800.

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HELP HELP HELP HELP
HELP HELP HELP HELP

Answers

Answer:

Vertex - (2, -1)

Axis of Symmetry - x = 2

X intercept - (3,0) (1, 0)

Y intercept (0, 3)

Domain - (negative infinity, positive infinity)

Range - [-1, infinity)

Step-by-step explanation:

I graphed with desmos and found it.

Find each difference and show work please !!

Answers

Answer:

X-19

Step-by-step explanation:

First you need to distribute the three into the numbers in the parenthesis,

(3 * x) + (3  * -5) - (2x + 4)

That then turns into,

3x - 15 - (2x + 4)

but we aren't done distributing yet, because the second set of parenthesis has a negative sign in front of it we also have to distribute that. (this is because the negative sign is really just -1)

3x - 15 + (-1 * 2x) + (-1 * 4)

that turns into,

3x - 15 - 2x -4

from here all we have to do is add like terms,

(3x - 2x) + (-15 + -4)

and that leaves us with: 1x -19 or x-19

Hope that helped :))  

using a calculator, or otherwise,determine the value of(12.3)² - (0.246÷3) and write the answer
(i)exactly
(ii)correct to two significant figures ​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming the equation is:}[/tex]

[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]

[tex]\huge\textbf{If so, let's start simplifying it:}[/tex]

[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]

[tex]\mathsf{= (12.3\times 12.3) - (0.246 \div 3)}[/tex]

[tex]\mathsf{= (151.29) - (0.246 \div 3)}[/tex]

[tex]\mathsf{= 151.29 - 0.246 \div3}[/tex]

[tex]\mathsf{= 151.29 - 0.082}[/tex]

[tex]\mathsf{= 151.208}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\large\boxed{\mathsf{Exactly \rightarrow} \frak{\ 151.208\ } \& \textsf{ Corrected to two significant figures}\rightarrow \frak{150 \ or \ 151}}\large\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A political campaign wants to estimate the number of adult residents who voted in the last city election. Answer the following. (a) Which of the following surveys probably would best represent the entire adult population of the city? 25 homeowners are randomly selected; 14 voted in the last election. 25 adult residents are randomly selected from the city; 10 voted in the last election. 25 senior residents are randomly selected; 11 voted in the last election. (b) There are 20,600 adults who live in the city. Using your answer from part (a), estimate the number of adults who voted in the last city election.

Answers

Using sampling concepts, it is found that:

a) The best method is: 25 adult residents are randomly selected from the city;

b) The estimate is that 11,536 adults voted in the election.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the sample will be representative if all adults, no matter if senior or not, homeowners or not are represented, hence the best method is:

25 adult residents are randomly selected from the city;

The estimate of the number of adults that voted is:

14/25 x 20,600 = 11,536.

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Here are the scores of 14 students on a geography test. 58, 60, 65, 67, 68, 72, 79, 79, 80, 81, 82, 86, 86, 87 Notice that the scores are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:

Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:

Answers

The five-number summary are as follows:

Minimum = 58Lower quartile(Q₁) = 67Median = 79Upper quartile(Q₃) = 82Maximum = 87Interquartile range = 15

How to solve for five-number summary?

The five-number summary is a set descriptive statistics which consist of the minimum, maximum, median, upper quartile, and lower quartile of a data distribution.

Therefore,

Given:

58, 60, 65, 67, 68, 72, 79, 79, 80, 81, 82, 86, 86, 87

Therefore,

Minimum = 58

Lower quartile(Q₁) = 67

Median = 79 + 79 / 2 = 79

Upper quartile(Q₃) = 82

Maximum = 87

Interquartile range = Q₃ - Q₁ = 82 - 67 = 15

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THE FIRST ONE TO ANSWER GETS BRAINLIEST OR FIVE STARS!! The earnings of part-time employees at a local computer repair store can be modeled by the equation y = 22x + 125, where x represents the number of hours worked and y represents the total earnings. Jasmine works at a competing store where she earns the same hourly rate. After working for 15 hours, she earned $555. Write an equation to represent Jasmine’s total earnings.

(picture just if I made a typo)

Answers

Answer:

In total she got $555 so we have to divide that to see how much she got per hour.

Step-by-step explanation:

y/x=?

$555/15= $37

Now how much money multiplied by how many hours

$37 X 15 = $555

I hope this helps, if you need any more information just comment!

Have an Amazing Day!!!

Which line plot correctly shows the data?

Answers

The line plot shown C in the figure is correct.

Given that the recorded lengths of ribbon pieces which is used in project is [tex]11\frac{1}{4},11\frac{1}{4},10\frac{3}{4},10\frac{1}{2},10\frac{7}{8},10\frac{5}{8},9\frac{7}{8},11\frac{1}{4}[/tex].

Frequency refers to the number of times an event or  value occurs. A frequency table is a table that lists items and shows how many times those items occurred.

A line plot displays the data using a no. line.

Firstly, we will fimd the frequency of each value

Values                               Frequency

9 (7/8)                                        1

10(4/8)=10(1/2)                           1

10(5/8)                                       1

10(6/8)=10(3/4)                          1

10(7/8)                                       1

11(2/8)=11(1/4)                             3

Option A is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)

Option B is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)

Option C is correct because the frequency distribution of the data is represented correctly in the line plot.

Option D is incorrect because 11(2/8) has 2 data values in the line plot (i.e., frequency = 2)

Hence, the line plot which correct shows the data is third line plot.

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The area of the trapezoid shown is one 20 cm². Find the sum of the links of the two parallel sides.

Answers

The  sum of the links of the two parallel sides is 5cm

Area of a  trapezoid

The formula for calculating the area of a trapezoid is expressed as:

A = 0.5(a+b)h

where

h is the height of the trapezoid

a+b is the sum of the sides

Substitute

20 = 0.5(a+b)8

40 = 8(a+b)

a+b = 40/8

a+b = 5cm

Hence the  sum of the links of the two parallel sides is 5cm

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Find the height of the basketball hoop to the nearest foot. a. 7 ft b. 10 ft c. 12 ft d. 15 f

Answers

The height of the basketball hoop to the nearest foot will be 12ft .

There are two ways to continue. The first method is to use trigonometric ratios.

You can use the tangent ratio because you have specified one leg and are trying to solve it with the other leg.

x equals the length of the other leg. .. Plug in known values.

Another way to find out is to monitor the angle. If the two angles are 45 degrees and 90 degrees, you can see that the third angle is 45 degrees. This makes it an isosceles triangle. That is, the other leg is 7 feet long.

2) Determine the height of the tire

Add 7 feet and 5 feet (human height):

7 + 5 = 12 feet

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melodies that we usuallly call happy, are in what type of key in jazz? Which is an appropriate unit for a flow rate?O Orders per dayO CurrencyO CustomersO Centimeters what method can you use to remove spaces from the beginning and end of a string? an office holder who represents the will of those who elected him/her and acts in constituents expressed interests is known as: Mi familia y yo vamos a visitar la ciudad de Quito en Ecuador por primera vez en cinco aos y estoy muy emocionado de visitar a mis abuelos. No puedo esperar para ir a las playas y a provar la comida nuevamente. Determine which statements are true and which are false regarding the Phillips Curve: a) it is possible to have high inflation and high unemployment; b) the multiplier tells the relation between inflation and unemployment; c) MPC determines the slope of the Phillips Curve; d) MPS determines the slope of the Phillips Curve; e) the Phillips Curve predicts that inflation and unemployment will be at their lowest levels when we are at potential GDP; f) the same Phillips that discovered the curve invented the Phillips head screwdriver; g) the Phillips Curve is a pitch invented by Brandon Phillips; h) the Phillips Curve is constant over time; i) the Phillips Curve shows the short run relationship between inflation and unemployment. if the ka of the conjugate acid is 8.64 10-5 , what is the pkb for the base? What important fact about the wounded soldiers is reflected by the repetition of the bolded sentences in the excerpts from "In Another Country" by Ernest Hemingway? A. It establishes the irony that, although the wounded soldiers have physically left the warfront, the war continues to haunt them psychologically. B. It shows the gradual loss of hope and growing depression of the wounded soldiers and their need for distractions. C. It establishes the wounded soldiers determination to shun war and disobey military commands to return to the front after they recover. D. It shows the wounded soldiers sadness and disappointment at the lack of gratitude from the people they risked their lives to protect. E. It shows the wounded soldiers belief that the war would never end, even as thousands of soldiers were killed or wounded and sent to hospitals. Part II. Choose the best answer for the following questions. 11. Which of the following organism is fungus? A Entamoeba hytolyca C. Plasmodium placifarium D. Mycobacterium tuberculosis B. Candida albicans 12. The technique controlling micro-organisms involves heating followed by rapid cooling is called A. Pasteurization B. Autoclave sterilization 13. The kind of immunity that is gained as result of vaccination with weakened or dead pathogen is A. Passive immunity B. Natural immunity C. Dry heat sterilization D. Disinfection C. Inborn immunity D. Active immunity 14. Diarrhea is the symptom of all of the following diseases except A. Gastro enteritis B. Typhoid 15. Human disease caused by bacteria include: C. Cholera D. Malaria A. Influenza C. Rabies D. Malaria B. Tetanus 16. The famous plant "endod helps to fight a serious human parasitic diseases known as A. Filariasis B. Amoebiasis 17. Which of the following sexually transmitted diseases is caused by protozoa? A. Syphilis C. Trichomoniasis B. Chancrous D. Gonorrhea C. Tapeworm D. Bilharzias compose a story about a victim being threatened by a antagonist.show how the antagonist instill fear in the victim eventualy how the victim suceeds in overcoming the danger Suppose f(x,y,z)=x2+y2+z2 and W is the solid cylinder with height 5 and base radius 3 that is centered about the z-axis with its base at z=1 . Enter as theta.(a) As an iterated integral 22.4.2 Test (CST): MicroeconomicsQuestion 3 of 20The supply of a good available in a market is likely to increase when:OA. new regulations increase the cost of making the product.OB. companies believe that the product's selling price will go up.OC. few workers have the skills needed to create the product.OD. technology used to make the product is not widely available.SUBMIT Write a recursive function named mergesort that takes a single list argument and returns the list in sorted order. For example:(mergesort '(1 3 2 4 8 1 9 6 10)) ==> '(1 1 2 3 4 6 8 9 10)As long as you use the purely functional features of scheme (i.e., no imperative constructs), you may design your merge sort function any way you see fit. However, it helped me to define the following two helper functions, which I created and tested first, and then used them to build mergesort:(merge L1 L2): takes two lists and returns a single merged list. For example,(merge '(2 4 6) '(1 3 5 9 10)) ==> '(1 2 3 4 5 6 9 10)(mergesortHelper L L1 L2 whichlist?): divides a list L into two separate, equal-sized lists L1 and L2. whichlist? indicates which list the next element of L should be added to. I used cons to add the next element of L to either L1 or L2. mergesortHelper should be recursive and should use continuation-style arguments for L1 and L2 (i.e., L1 and L2 grow with each successive call to mergesortHelper). mergesortHelper can either return L1 and L2 as a cons pair when L is empty, or it can directly implement the general case of merge sort once L is empty (i.e., call mergesort on each of the two lists L1 and L2 and call merge to merge the resulting two lists).My eventual mergesort was very short. It implemented the two base cases where the list is either empty or has one element, in which case it simply returns the list, and it implemented the general case by calling mergesortHelper with the appropriate initial arguments. ghl, inc., has a dividend payout ratio of . its cost of equity is and its dividend growth rate is . if its forward eps is , what is your estimate of its stock price? the current spot exchange rate is huf260/$1.00. long-run inflation in hungary is estimated at 10 percent annually and 3 percent in the united states. if ppp is expected to hold between the two countries, what spot exchange rate should one forecast five years into the future? Choose the CORRECT statement regarding phantom stock plans.A)Payments are normally made each year to the employee as the stock appreciates.B)The employee must claim any payment received from the plan as long-term capital gain in the year of receipt.C)The employer receives a tax deduction upon payment to the employee.D)Payments to the employee are made in the form of stock. By using the formula of cos 2A, establish the following:[tex]cos \alpha = + - \sqrt{ \frac{1 + cos2 \alpha }{2} } [/tex] a) let p(x) be any polynomial in x and n > 0 any positive integer. show that lim x0 x n p(x)e1/x2 = 0. hint: first do this for p(x)= 1; replacing x by 1/x may simplify lhospital. If the level of risk aversion were to increase causing the market risk premium to increase, the SML would __________ and the prices of risky assets would ___________. A. get steeper; increase B. get steeper; decrease C. flatten; increase D. flatten; decrease E. flatten: stay the same a friends child has just been diagnosed with adhd. based on what you have learned you might emphasize to your friend the importance of: