Answer:
i. y = 3(x)
ii. This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.
Step-by-step explanation:
Let assume that the horizontal surface of the earth is taken to be zero. Thus any distance moved upward is positive, and any distance moved downward is negative. As compared to a number line.
Thus, after 3 days, the equation for each hiker is;
y = 3(x)
Where y is the total distance covered after 3 days, and x is the elevation of the hiker per day.
For Hiker 1, the elevation was upwards;
y = 3(500)
= 1500 m
For Hiker 2, the elevation was downwards;
y = 3(-500)
= -1500 m
This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.
Consider the enlarged triangle.
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
Which steps should be used to find the perimeter? Check all that apply.
Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.
Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2
Calculate the perimeter of the original figure.
Multiply the perimeter of the original figure by the scale factor.
Step-by-step explanation:
A, C, D
The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
First find the scale factor.
Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2
Now, find the perimeter of the original figure.
Perimeter of the original figure = 4 + 5 + 3 = 12
Now.
Perimeter of enlarged figure = Scale factor × Perimeter of original figure
= 2 × 12
= 24
Hence the correct steps are first, third and last step.
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40 points on the line please answer I have 4 minutes left!!!
Write the product, and then write the expression in standard form by removing parentheses and combining like terms. Justify each step.
A. The multiplicative inverse of 1/5 and (2x - 1/5)
Please help!!!
Step-by-step explanation:
please see it my steps to work this problem
could someone help please? this is hard
Step-by-step explanation:
1/8+1/4+1/8=1/8+2/8+1/8=4/8=1/2
Answer:
1,2,1, 4, 1
These numbers correspond with the boxes in order from left to right.
The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor 1 spot: and is labeled + x. 6 tiles are in the Factor 2 spot: 1 is labeled + x and 5 are labeled negative. 18 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled + x, the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization?
Answer:
2 positive unit tiles is needed
Step-by-step explanation:
Given the expression x^2 – 3x – 10, the partial factorization is as shown;
x^2 – 3x – 10
= x^2 +2x – 5x – 10
= x(x+2)-5(x+2)
= (x-5)(x+2)
Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)
From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.
Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization
Answer:
B i think
Step-by-step explanation:
Find the sum (5p+11)+(8p-4)
Answer:
13p + 7Step-by-step explanation:
Combine your like terms!
Hope this helps!
A military jet flying with the wind travelled 1500 km in 1.5 hrs, but when the plane turned around, it took 1.875 hours to return to its base. Find the rate of the plane in calm air and the rate of the wind. pls solve with 2 variables!
Answer:
With wind = 1000 km /hr
In calm air = 800 km/hr
Step-by-step explanation:
With wind :
Distance traveled = 1500 km
Time taken = 1.5 hours
Speed of plane in air :
Speed = distance / time
Speed = 1500 km / 1.5 hours
Speed = 100 km pe hour
In calm air :
Time taken = 1.875 hours
Distance = 1500 km
Speed of wind in calm air :
Distance / time
1500 km / 1.875
= 800 km/hr
Help ASAP anyone :)!!!??!
Answer:j
Step-by-step explanation:
2 5/6 years is how many months
Final Answer: 34 months
Steps/Reasons/Explanation:
Hey there! Each year is 12 months. We can see that 2 years is already given. 2 years × 12 months = 24 months.
For [tex]\frac{5}{6}[/tex] we will multiply it by two to find the remaining amount of months. [tex]\frac{5}{6}[/tex] × [tex]2[/tex] = [tex]\frac{10}{12}[/tex]. This means that there is an extra 10 months of a year remaining.
Now we have to add them up. 24 months + 10 months = 34 months.
~I hope I helped you :)~
Help me plz!!!!!!!!!!!!!!!!!!!!
Answer:
14 2/3
Step-by-step explanation:
.....................
In the diagram, line A is parallel to line B. Which angles are congruent to angle 1?
(20 Points)
Select All that apply
angle 2
angle 3
angle 4
angle
angle 6
angle 7
angle 8
Answer:
angle 8
Step-by-step explanation:
Follow Me Please
Which fraction is equivalent to 0.4?
StartFraction 4 over 100 EndFraction
One-fourth
Four-tenths
StartFraction 4 over 1 EndFraction
Answer:
Four-tenths
Step-by-step explanation:
Four-tenths
Hope it helps you in your learning process.
(01.02 MC)Which of the following expressions shows how to rewrite 4 − 5 using the additive inverse and displays the expression correctly on a number line?
1.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 1.
2.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 5.
3.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 5.
4.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 1.
Answer:
I think the answer is 1. The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative. So the answer is A
hope this helps sorry if it wrong
pls let me now if right or wrong
The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1. Option A is correct.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
4 + (- 5)
The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1.
Thus, option A is correct.
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PLZ HELP!!
Tony paid $12 for a carnival ticket. Then he paid $3 per ride. If he spent $36, how many rides did he buy? Solve using an ALGEBRAIC EQUATION
Answer:
8
Step-by-step explanation:
The expression you need to use would be
3x+12=36.
Subtract 12 from both sides
3x=24
Divide by 3
X=8
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
7.61577
Step-by-step explanation:
In this system of equations below solve for x
2x+2y=12
x-4y=6
Answer:
X = 6
y = 0
Step-by-step explanation:
use elimination method. Multiply (x -4y = 6) by -2.
2x + 2y = 12
-2x + 8y = -12
add them together
10y = 0
y = 0
plug in for y
x - 4(0) = 6
x = 6
Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In how many different ways can the children sit
Answer: 40320
Step-by-step explanation: I think thats correct because the kids on the outside is 1234567 so then there is a kid in the middle.
The number of ways for the children sit will be 40,320.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Eight children sit together at story time.
And, Seven children sit in a circle and one child sits in the middle to tell the story.
Now,
Since, There are 8 students.
Hence, The number of ways for the children sit = 8!
= 40,320
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An ant crawls 10 centimeters down into an ant hole. It then crawls 2 centimeters up to the queen’s nest. How many centimeters does the ant have to crawl in order to get out of the ant hole? (Hint: Draw a diagram to help you out)
pLS ANSWER IM IN 7TH GRADE MOST OF YOU SHOULD KNOW THIS
Answer:
8
Step-by-step explanation:
10 down plus 2 up equals 8
A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used?
Answer:
19 by 38
Step-by-step explanation:
The area of the poster, A=xy
Margin at both up and bottom is 2inches, at the right and left is 1 inch
Then we can say
(x-4)(y-2)= 578
Let us make y subject of the formula
(y-2)= 578/(x-4)
y=[ 578/(x-4)] + 2
If we substitute into the area A equation we have
A= x { [ 578/(x-4)] + 2}
A= 2x + (578x)/(x - 4)
If we differentiate we have
A'(x)= [2+578(x-4)+578x ]/ (x-4)^2
=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2
=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2
If we simplify this we have
=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2
=( 2x^2 -16x - 2312) / (x-4)^2
At A'(x)= 0
= ( x^2 - 8x - 2312) / (x-4)^ =0
If we divide through by 2 we have
x^2 - 8x - 1156= 0
Solving the quadratic eqn( CHECK THE ATTACHMENT)
X= 38 or -30 then we choose the positive one, then x= 38
Then from area of the poster
A= (x-4)(y-2)= 578
Substitute 38 as value of x
(38-4)(y-2)= 578
34(y-2)=578
34y-68=578
34y=646
y=19
Hence dimensions of the poster is 19 by 38
CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION
A standard painkiller is known to bring relief in 3.5 minutes on average LaTeX: \muμ. A new painkiller is hypothesized to bring faster relief to patients. A sample of 40 patients are given the new painkillers. The sample yields a mean of 3.0 minutes and a standard deviation of 1.1 minutes. Using a level of significance LaTeX: \alpha = 0.05α = 0.05, the rejection region for the test is:
Answer:
Reject H0 if Z ≤ critical value
- 2.8747978 ≤ 1.645
Step-by-step explanation:
Setting the null and alternative hypothesis :
H0 : μ = 3.5
H1 : μ < 3.5
Sample size (n) = 40
Mean (m) = 3 minutes
Standard deviation (s) = 1.1 minutes
Test statistic : Z = (m - μ) / (s/√n)
Z = (3 - 3.5) / (1.1/√40)
Z = - 0.5 / 0.1739252
Z = - 2.8747978
Zcritical at α 0.05 = 1.645
This is a left tailed test :
Hence rejection region:
Reject H0 if Z ≤ critical value
- 2.8747978 ≤ 1.645
PLEASE ANSWER FAST
what is the length of rt?
a - 3 cm
b - 1 cm
c- 9 cm
d - 4 cm
Answer:
I would say 3cm
Step-by-step explanation:
sorry if it's wrong but I sure it's right
A tv has a screen that is 15 in long and has a 25 in long diagonal find the area of the tv screen?
Answer:
300 in²
Step-by-step explanation:
The TV screen is rectangular in shape.
Thus:
Length of the rectangular screen = 15 in.
Diagonal of the rectangular screen = 25 in.
To find the area of the rectangular screen, we need the length and the width of the screen.
Use pythagorean theorem to find the width as shown below:
[tex] a^2 + b^2 = c^2 [/tex], where:
a = width = ?
b = 15 in.
c = 25 in. (The hypotenuse/longest side)
Plug in the values into the equation
[tex] a^2 + 225 = 625 [/tex]
Subtract 225 from each side
[tex] a^2 = 400 [/tex]
Take the square root of both sides
[tex] a = 20 [/tex]
width of the screen = 20 in.
Thus,
Area of the screen = length × width
= 15 × 20
Area = 300 in²
If the circumference of a circle is 36π, what is the length of a radius of the circle?
A. 6
B. 18
C. 36
D. 72
Answer:
The answer is 6 (A)
Step-by-step explanation:
The exact answer is 5.73, but I think in the question they are rounding to the nearest whole number, so the rounded answer is 6.
My work:
C = 2πr
r = C
2π = 36
2·π = 5.72958
Select the correct answer. Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33 A. The equation has a maximum value with a y-coordinate of -21. B. The equation has a minimum value with a y-coordinate of -21. C. The equation has a minimum value with a y-coordinate of -27. D. The equation has a maximum value with a y-coordinate of -27.
Step-by-step explanation:
y = -3x² + 12x - 33
y = -3[x² - 4x + 11]
y = -3[(x - 2)² + 7]
Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.
Therefore the correct option is A.
HELP ME PLEASEEEEEEEE
Answer:
2/3 more pizza
Step-by-step explanation:
because there is 3 blocks in a row and Edgar ate 2 more pizza slices than Reggle so there for Edgar ate 2/3 more pizza slices. hope this helps :)
The actual Mount Rushmore carving was made from a scale model with a scale of 1 inch = 1 foot. On the model, Teddy Roosevelt's mustache was 1 foot by 8 inches long. What is the length of Teddy Roosevelt's mustache on the monument?
Answer:
1 foot by 8 inches
Step-by-step explanation:
A factory is going to hire 33 new employees. There are 79 applicants. Which
choice represents the ratio of new hires to applicants?
Answer:
33:79
Step-by-step explanation:
We are told that a factory is going to hire 33 new employees.
and the total applicants is 79
In this problem, we want to represent the situation as a ratio of new hires to applicants
Since the question says new hires to applicants
Hence, the ratio will be
33 to 79
or
33/79, we can simplify this as
33:79
Pls solve... will give brainliest... linear inequality
Which equation describes a line perpendicular to line R that passes through the point
(3, –6)?
A.x – 3y = 21
B.3x + y = 3
C.3x – y = 15
D.3x – y = 3
Answer:a
Step-by-step explanation:
I rlly need this quick please and thank you
Step-by-step explanation:
2002 can be rounded to a compatible number such as 2000.
2000 / 2 = 1000.
They each received around 1000 marbles.
100 points please help
Answer:
She has $3.74 in quarters. I'm kind of confused but hopefully this helps??
Step-by-step explanation:
0.75 x 5= $3.75
$3.75/0.25= 15 quarters
Answer:
l
Step-by-step explanation: