h + r when b = 3, d = 12, h = 2 and r = 7.

Answer:

294mm

Step-by-step explanation:

The surface area of each side is 7mm x 7mm. 7•7 = 49

There are 6 sides on a cube, so just multiply 49 times 6.

49•6= 294 mm

If [m] represents the greatest possible length of line segment AD, and [p] represents the least possible length of line segment AD, than the value of [m - p] will be 2.84.

        where : [m] → is slope of line and [c] → is the y - intercept

We have in a plane, the lengths of line segments AB, BC, and CD are 3, 5, and 1.

Using the Pythagoras theorem, the length of side AC will be -

AC² = AB² + BC²

AC² = 9 + 25

AC² = 34

AC = √34

Also, we can write, the sum of two sides of a triangle is greater than the third side. So, in triangle ACD, we can write -

1 + √34 > AD

AD + √34 > 1

AD + 1 > √34

AD[min] = √34 - 1 = 4.84

AD[max] = √34 + 1 = 6.84

So -

m - p = 2.84

Therefore, if [m] represents the greatest possible length of line segment AD, and [p] represents the least possible length of line segment AD, than the value of [m - p] will be 2.84.

To solve more questions on 2 -D figures, visit the link below-

brainly.com/question/25950519

#SPJ2

Answer:

The midpoint is (4, 3).

Step-by-step explanation:

to get the midpoint (x1+x2/2, y1+y2/2)

(0+8/2, 0+6/2)

(4, 3)

Answer: 8 I’m order to meet goal

Step-by-step explanation: 25-9=16 16-8=8

Answer:

Both are equations, one is linear, one is not linear boom

Step-by-step explanation:

As P varies directly as the product of I and V it is P = KVT

Proportions are of two types one is the direct proportion in which if a constant k increases one quantity the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if a constant k increases one quantity the quantity will decrease by the same constant k and vice versa.

Given, P varies directly as the product of I and V, therefore if P increases

V or I or V and I will also increase.

We can write this direct proportionality as,

P ∝ VI.

Now to remove the proportionality sign we'll use a constant factor K and an equality sign,

P = KVT.

learn more about direct proportion here :

https://brainly.com/question/20391784

#SPJ2

Answer:

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

Answer:

660g

Step-by-step explanation:

take bean can as b and soup can as c

3b+5c=700

4b=300 therefore b=75

3b+5c=700 is 3(75)+5c=700

225+5c=700

5c=475

c=95

5×75+3×95

660

Answer:

2,5,5,5

Step-by-step explanation:

50×5=2×5×5×5

Answer:

The area is 5x

Step-by-step explanation:

1) a = lw (starter equation)

2) a= 5x (substiute x in for the width, and 5 in for the length)

Answer:

5x^2

Step-by-step explanation:

[tex]Solution \\

Here \\ \hookrightarrow \: length(l) = x \: units \\ \hookrightarrow \: breadth(b) = 5 \: units \\\hookrightarrow \: area = l \times b \\ \hookrightarrow \: area = x \: units \times 5 \: units \\ \hookrightarrow \: area = 5 {x}^{2} [/tex]

Answer:

[tex]y = 5x + 3[/tex]  

I hope this helps!

Using an exponential function, it is found that the value of Yong's investment account after 7 years is given by:

(C) $2363

It is modeled by:

[tex]y = ab^x[/tex]

In which:

Her account was worth $2000 initially, and it increases by 10%, percent every 4 years, hence, it is modeled by:

[tex]y(t) = 2000(1.1)^{\frac{t}{4}}[/tex]

After 7 years, the amount is:

[tex]y(7) = 2000(1.1)^{\frac{7}{4}} = 2363[/tex]

Hence option C is correct.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

The value of the car will be $2,363.19 after 14 years

Step-by-step explanation:

The rule of depreciating is  

[tex]A=p(1-r)^{t}[/tex] , where

∵ A new car is purchased for 18000 dollars

∴ P = 18,000  

∵ It depreciates at a rate of 13.5% per year

∴ r = 13.5% = 13.5/100 = 0.135  

∵ We need to find how much it will be worth after 14 years

∴ t = 14

→ Substitute all of these values in the rule above to find A  

∵  [tex]A=18000(1-0.135)^{14}[/tex]

→ Use your calculator to find the answer  

∴ A = 2,363.186569

→ Round it to the nearest cent (2d.p.)

∴ A = 2,363.19

∴ The value of the car will be $2,363.19 after 14 years.

Answer:

D, [tex]\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Remember order of operations: parentheses first, then exponents, then multiplication/division, and finally addition/subtraction.

In this case, since there is no way to further simplify the parentheses, we can leave them be. But the negative sign in front of the parentheses is like multiplying it by -1. It needs to be distributed into the parentheses like so:

[tex]-(\frac{1}{4}x+5)=-\frac{1}{4}x-5[/tex]

We can now substitute that into the expression:

[tex]\frac{3}{4}x+2-\frac{1}{4}x-5[/tex]

From here, we can combine like terms:

[tex]\frac{2}{4}x-3[/tex]

And finally, we can simplify 2/4 to get:

[tex]\frac{1}{2}x-3[/tex]

The height of the prism that's depicted in the water tank will be 8m.

The area of the base of the triangular prism will be calculated thus:

= 1/2 × 4 × 9

= 18m²

The volume of water removed from the rectangular tank will be:

= (6 × 6) × 4

= 144m³

Therefore, the height will be calculated thus:

18 × h = 144

18h = 144

h = 144/18

h = 8m

Therefore, the height is 8m.

Learn more about prism on:

https://brainly.com/question/25504817

Step-by-step explanation:

°c to °F = (°c × 9/5) + 32

= ( 37.2 × 9/5) + 32

= 66.96 + 32

= 98.96 °F

if this helped pls give brainliest

Step-by-step explanation:

This is the correct answer Step-by-step

I hope you understand...

The Margin of error is 0.3 when assuming a 90% confidence level.

It is given that among 320 randomly selected airline travelers, the mean number of hours spent traveling per year is 24 hours and the standard deviation is 2.9.

It is required to find the margin of error when the confidence level is 90%.

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE= Z_{score}\times\frac{s}{\sqrt{n}}[/tex]

Where  [tex]\rm Z_{score}[/tex] is the z score at the confidence interval

             s is the standard deviation

             n is the number of samples.

We have in the question:

[tex]\rm Z_{score}[/tex] at 90% confidence interval = 1.645 (From the Z score table)

s = 2.9

n = 320

Put the above values in the formula, we get:

[tex]\rm MOE= 1.645\times\frac{2.9}{\sqrt{320}}[/tex]

MOE = 0.2666

Rounding the nearest tenth:

MOE = 0.3

Thus, The Margin of error is 0.3 when assuming a 90% confidence level.

Learn more about the Margin of error here:

https://brainly.com/question/13990500

Answer:

0.3

Step-by-step explanation:

edg

discount = 1/5

so after the discount we will pay 4/5 of the shirt

Answer:

Here you go

Step-by-step explanation:

Answer: 68.1

Step-by-step explanation:

The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:

[tex]Area=\pi r^2/2[/tex]

[tex]Area=\pi (3)^2/2=9\pi /2[/tex]

The area of a rectangle is the length multiplied by the width:

[tex]Area=l*w[/tex]

[tex]Area=6*9=54[/tex]

The net area is the sum of the rectangle and the semi-circle:

[tex]Area=(9\pi /2)+(54)=68.1[/tex]

For rectangle

Area:-

For semicircle

Area:

Total:-

Answer:

2x +6

Step-by-step explanation:

if you are given a question like this u will leave it like that because maybe the question is wrong

Answer:

1) -100

2) Your laptop would lose value faster

3) Your laptop would lose value slower

4) Your laptop's value increases as time goes on

5) It is a horizontal line

6) the laptop's value doesn't change over time

7) A vertical line

Step-by-step explanation:

1) the slope of the line is -100. You can figure this out by doing rise/run

2) If the line were steeper, the laptop would lose more value each year, meaning that the laptop would lose it's value faster

3) If the line were less steep, the laptop would lose less value over each year, so it's value would decrease slower.

4) If the slope was positive, that means that the laptop would be gaining value as the time increases or goes by

5) A slope of zero has a rise over run of 0/something, meaning that the rise or change in y should be equal to zero. This can only occur in a horizontal line.

6) If the y-value doesn't change, that means that the value isn't changing as time goes by.

7) A line with an undefined slope has a rise over run of something/0 and it's undefined because anything divided by 0 is undefined. In this situation, the run, or change in x is 0, and this can only occur in a vertical line

Check the picture below.

Answer:

70

Step-by-step explanation:

From the question given above, the following data were obtained:

TU = 8x + 11

UV = 12x – 1

Next, we shall determine the value of x.

From the question:

U is the midpoint. This means that TU and UV are equal i.e

TU = UV

With the above idea in mind, we shall determine the value of x as follow:

TU = UV

TU = 8x + 11

UV = 12x – 1

8x + 11 = 12x – 1

Collect like terms

11 + 1 = 12x – 8x

12 = 4x

Divide both side by the coefficient of x i.e 4

x = 12/4

x = 3

Next, we shall determine the length of TU and UV. This can be obtained as follow:

TU = 8x + 11

x = 3

TU = 8(3) + 11

TU = 24 + 11

TU = 35

UV = 12x – 1

x = 3

UV = 12(3) – 1

UV = 36 – 1

UV = 35

Finally we shall determine the length of TV. This can be obtained as follow:

TV = TU + UV

TU = 35

UV = 35

TV = 35 + 35

TV = 70

Therefore, the distance between my house and grandma's house is 70.

NOTE: Assume the distance is measured in kilometer (km)

This means that I will travel 70 km from grandma's house to my house.

Answer: smaller number = 5, bigger number = 8

Step-by-step explanation:

Let x represent the smaller number

and y represent the bigger number.

The sum of 2 times the smaller number and 3 times the bigger number is 34.

EQ1: 2x + 3y = 34

Two times the bigger number is subtracted from 5 times the smaller number is 9.

EQ2: 5x - 2y = 9

Solve the system of equations using the Elimination method:

EQ1: 2x + 3y = 34      →   2(2x + 3y = 34)     →   4x + 6y = 68

EQ2: 5x - 2y = 9       →    3(5x - 2y = 9 )      →   15x - 6y = 27

                                                                         19x         = 95

                                                                      ÷19            ÷19

                                                                                  x =  5

Substitute x = 5 into either equation to solve for y:

EQ2: 5x - 2y = 9

      5(5) - 2y = 9

        25 - 2y = 9

              -2y = -16  

                  y =  8

The smaller number (x) is 5 and the bigger number (y) is 8.

[tex] \huge\fbox { \: smaller \: no. = 5}\ \\ \huge\fbox { \: bigger \: no. = 8} \: [/tex]

Here,We'll assume the smaller no. as x & the bigger one as y

Now,

ATQ,

(sum of two times the smaller number and three times the bigger number is 34.)

(Two times the bigger number is subtracted from the five times the smaller one)

Now,

we'll apply the elimination method to find The value of the variables↷

Here,

Let's equalize the variable ,'x'

[tex]To \: equalize \: the \: variable,[/tex]

[tex]We \: need \: to \: multiply \: the \: first \: equation \\ \: by \: 5 \: and \: the \: second \: one \: by \: 2↴ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]5(2x + 3y = 34) \\ \: \: \: = > 10x + 15y = 170......(3) \\ \\ 2(5x - 2y = 9) \\ = > 10x - 4y = 18 ......(4)\\ \\ [/tex]

Since Now our variable'x' is equalize in Both of the equations (10x),

We'll subtract the Equation 4 From Equation 3rd so that we can find out the Value of y

[tex] \: \: \: \: \: \: \: 10x + 15y = 170 \\ \: \ - 10x - 4y = 18 \\ \: \: - - - - - - - - \\ 0 + 19y = 152 \\ \: \: \: - - - - - - - - \\ 19y = 152 \\ \frac{19y}{19} = \frac{152}{19} \\ \huge\fbox{y = 8} [/tex]

Now,

By plugging the Value of y in any of the equation,we can find the Value of x.

Here,

We'll plug the value of y into the equation 2↴

[tex]5x - 2(8) = 9 \\ 5x - 16 = 9 \\ 5x - 16 + 16 = 9 + 16 \\ 5x = 25 \\ \frac{5x}{5} = \frac{25}{5} \\ \huge\fbox{x = 5} [/tex]

Hence, the Value of the smaller number = 5

and the value of the bigger one = 8

[tex] \small\mid{ \underline{ \overline{ \tt \: －ɪƭ'ꜱ \: ʙᴙᴜᴛᴀʟ \: σʋʇ \: ɦэŗǝ~}} \mid} [/tex]

Explanation:

The diameter of the semicircle is 6 inches, which divides in half to the radius of r = 3 inches.

Add the two sub-areas to get the total area.

14.13 + 21 = 35.13 square inches

This answer is approximate since pi = 3.14 is approximate.