5. Does the following table represent a function? Explain.

Answer:

36.625

Step-by-step explanation:

5*5 = 25

25 + 8 = 33

33 - 11 = 22

22 + 12 = 34

84/32 = 2.625

34 + 2.625 = 36.625

36.625

Have a nice day!

Answer:

36.625 or 293/8

Answer:

Step-by-step explanation:

add up the total people in the survey

7 + 33 + 56 + 42 + 12 = 150

divide 12 by 150 = .08   or 8%

now multiply .08 * 100,000 = 8,000

so B looks like a good answer

Answer:

21.38

Step-by-step explanation:

Find the diagram attached

In order to get PS, we need to get the length of QS first

According to triangle QRS;

QS =opposite

QR = 39(adjacent)

Using SOH CAH TOA

Tan theta = opp/adj

Tan 28 = QS/39

QS = 39tan28

QS = 39(0.5317)

QS = 20.74

Get PS

sin theta = QS/PS

sin 76 = 20.74/PS

PS = 20.74/sin76

PS = 20.74/0.9703

PS = 21.38

Hence the length of PS is 21.38

Answer:

20

Step-by-step explanation:

Answer:

500.3 cm³

Step-by-step explanation:

Find the area of base first, then multiply the height.

Area of the circular base

= π × 3.5²

= 38.48451...

= 38.5 cm² (rounded to the nearest tenth)

Volume of the circular prism

= 38.5 × 13

= 38.48451... × 13

= 500.29863...

= 500.3 cm³

Today : Monday, 03rd May 2021

07.41 PM

Answer:

5³

Step-by-step explanation:

[tex] \tt \orange{\frac{5^{6} }{ {5}^{3} } }[/tex]

[tex] \green {= \tt {5}^{6 - 3} }[/tex]

[tex] \blue{ \tt = {5}^{3} }[/tex]

[tex]\pink{ \boxed{ \tt study \: with: {\pink{ \boxed{{\tt \colorbox {pink}{✿ \:aulia \: ✿}}}}}}}[/tex]

Answer:

sociable I think........

Answer:

472.50 ft^3

Step-by-step explanation:

Volume of a prism = base area x height

base area = 1/2 x base x height

1/2 x 9 x 7 = 31.5

31.5 x 15 = 472.50 ft^3

Answer:

472.50 ft^3

Step-by-step explanation:

Answer:

Quadratic

Step-by-step explanation:

It's not linear because the speed of the penny is not constant.

It is not exponential because the speed does not continuously increase at a faster rate.

It is Quadratic because the penny will increase speed as you throw it up into the air. Once it reaches its "high point" it's speed hits 0, which is the origin of the quadratic equation. Then the speed increases faster and faster as it falls.  

Answer:

Volume of one prism; (1/16) unit³

Step-by-step explanation:

The given volume of the cube, v₁ = 1 unit cube

The height of the unit cube, h₁ = 1 unit

The length of the unit cube, w₁ = 1 unit

The height of the unit cube, l₁ = 1 unit

The number of identical prism located along the height = 2 identical prism

The number of identical prism located along the width = 2 identical prism

The number of identical prisms located along the length = 4 identical prism

Therefore;

The height of each identical rectangular prism that make up the unit cube, h₂ = h₁/2 = 1/2 unit

Similarly, for each identical rectangular prism, we have;

The width, w₂ = w₁/2 = 1/2 unit

The length, l₂ = l₁/4 = 1/4 unit

The volume of each one of the identical rectangular prism, v₂ = h₂ × w₂ × l₂

∴ v₂ = 1/2 unit × 1/2 unit × 1/4 unit = 1/16 unit³

The volume of one of the identical rectangular prisms = (1/16) unit³.

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations.  For example,

      Is means                =

    Larger than                                   +

     Four times a                           4*a

    F is 550 less than S                F = S – 550

      Total of A, B, C                       A + B + C  

This seems obvious – until you get stuck on a word problem.  So,

 “the first company” ,  “a second company”      becomes       Let their costs be F and S

                                                                                                 Let K be the number of kilograms

  “$20 to ship a medium box, plus an additional $2 per kilogram”           F =  $20 + 2*K

   “10 for the same size of box, plus an additional $3 per kilogram”           S  =  $10 + 3*K

  “the two shipping methods will cost the same amount”                               F = S

 “What is that weight?”                                                                             report K

Now, the math:

        F        =        S

  20 + 2K   =   10 + 3K

     $10  =  K

Answer:

There are 2 solutions:

X=-7.5

X=4.5

**The positive one is 4.5** so it should be that

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

- 9x + 3 = 3x + 9 ( subtract 3x from both sides )

- 12x + 3 = 9 ( subtract 3 from both sides )

- 12x = 6 ( divide both sides by - 12 )

x = [tex]\frac{6}{-12}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

1. Never true

2. Never true

3. Bad question!  Typo? (see discussion below)

4. Always true

5. Always false

Step-by-step explanation:

1. x - 13 = x + 1.  Subtract  x  from both sides of the equation, and you get -13 = 1.  False!  (Never true!)

2.  x + 1/2 = x - 1/2.  Subtract x from both sides:  1/2 = - 1/2.  False! (Never true!)

3. This one's weird, with two equal signs.  That's not unusual; multiple equal signs are often used when a chain of equalities is being displayed.  For instance, you can write  (3)(2x + 5) = (3)(2x) + (3)(5) = 6x + 15.  That's an example of the Distributive Property--the 3 is multiplied by both of the terms inside parentheses (shown after the first equal sign), then actually doing those multiplications produces the expression after the second equal sign.

OK!  This question says 2(x + 3) = 5x = 6 - 3x.  Take it in two parts.

a. 2(x + 3) = 5x   Distribute the 2.

2x + 6 = 5x   Now subtract 2x from both sides.

6 = 3x   Divide both sides by 3.

2 = x  So that first part is true only when x = 2.  Gaa!  That's not one of your answer choices.  Now, check out the second part

b.  5x = 6 - 3x  Add 3x to both sides.

8x = 6   Divide by 8

x = 6/8 = 3/4

It doesn't help to use the first and third expressions, either.

2(x + 3) = 6 - 3x   Distribute the 2

2x + 6 = 6 - 3x  Add 3x.

5x + 6 = 6   Subtract 6.

5x = 0   Divide by 5

x = 0

None of these is always false.  None of these is always true.

4.  x - 3 = 2x - 3 - x   Simplify the right side by combining the x terms.

x - 3 = x - 3  Aha!  Same expression on both sides!  Always true

5.  3(x - 5) = 2(x - 5) + x  Distribute the 3. Distribute the 2.

3x - 15 = 2x - 10 + x  Combine the x terms on the right.

3x - 15 = 3x - 10  Subtract 3x

-15 = -10  (Always false!)

Answer:

a.

radius [r]=breadth[b]=4in

length [l]=7in

now

[C]area 1/4 th circle +area of 1/4th circle= semi circle =1/2×πr²h=1/2×π×4²=8πin²=25.13in²

area of rectangle [A]=l×b=7×4=28in²

total area =A+C=28in²+25.13in²=53.13in²

Step-by-step explanation:

b.

height [h] of triangle =12-4=8cm

base[b] of triangle= 12-3.5-3.5=5cm

area of triangle [A]=1/2×b×h=½×8×5=20cm²

again

length of square [L]=12cm

area of square [S]=L²=12²=144cm²

Area of shaded region=S-A=144-20=124cm²

Answer:2

Step-by-step explanation:

Answer:

We need to find the value of r. ... 6. radius 2V3. 7. radius. 8. radius who. 8. tadine V10. 9. containing the point (3, 4) ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter.

Answer:

1. slope=1/2 y-int=1 equation= y=2x-1

2. slope=1 y-int=1 equation= y=x+1

Step-by-step explanation:

Answer:

Pleaseee post the question clearly

Answer:

26.5

Step-by-step explanation:

Complimentary angles are 90 degrees

90-63.5=26.5

Answer:

what is the question ?

........................

Answer:

true

Step-by-step explanation:

v=cm 3/m/3 /litres

area into boundary is volume

Answer:

Chris should go for the LOAN THAT IS COMPOUNDED ANNUALLY because the interest rate is lower compared to the simple interest

Step-by-step explanation:

Chris borrows 450 dollars from Gavin.

Step 1

We find Simple Interest

Gavin lets Chris choose either a simple interest loan for 10 years with a 3.5% interest rate

Formula = P × R × T

= 450 × 3.5% × 10

= $157.5

Step 2

We find compound interest

loan compound annually for 7 years with a 2% interest rate.

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year,

Then solve the equation for A

Formula:

A = P(1 + r/n)^nt

A = 450.00(1 + 0.035/1)(1)(7)

A = 450.00(1 + 0.035)(7)

A = $572.53

Interest = A - P where

P (principal) = $450.00

I = $572.53 - $450.00

I (interest) = $122.53

Which should Chris choose if he wants the cheaper plan?

Comparing the calculations above, Chris should go for the Loan that is compounded annually because the interest rate is lower compared to the simple interest

Answer:

[tex]Pr = \frac{8 - \pi}{8}[/tex]

Step-by-step explanation:

Given

See attachment for square

Required

Probability the [tex]dart\ lands[/tex] on the shaded region

First, calculate the area of the square.

[tex]Area = Length^2[/tex]

From the attachment, Length = 6;

So:

[tex]A_1 = 6^2[/tex]

[tex]A_1 = 36[/tex]

Next, calculate the area of the unshaded region.

From the attachment, 2 regions are unshaded. Each of this region is quadrant with equal radius.

When the two quadrants are merged together, they form a semi-circle.

So, the area of the unshaded region is the area of the semicircle.

This is calculated as:

[tex]Area = \frac{1}{2} \pi d[/tex]

Where

[tex]d = diameter[/tex]

d = Length of the square

[tex]d =6[/tex]

So, we have:

[tex]Area = \frac{1}{2} \pi (\frac{d}{2})^2[/tex]

[tex]Area = \frac{1}{2} \pi (\frac{6}{2})^2[/tex]

[tex]Area = \frac{1}{2} \pi (3)^2[/tex]

[tex]Area = \frac{1}{2} \pi *9[/tex]

[tex]Area = \pi * 4.5[/tex]

[tex]Area = 4.5\pi[/tex]

The area (A3) of the shaded region is:

[tex]A_3 = A_1 - A_2[/tex] ---- Complement rule.

[tex]A_3 = 36 - 4.5\pi[/tex]

So, the probability that a dart lands on the shaded region is:

[tex]Pr = \frac{A_3}{A_1}[/tex] i.e. Area of shaded region divided by the area of the square

[tex]Pr = \frac{36 - 4.5\pi}{36}[/tex]

Factorize:

[tex]Pr = \frac{4.5(8 - \pi)}{36}[/tex]

Simplify

[tex]Pr = \frac{8 - \pi}{8}[/tex]

Answer:

angle Lmp=77degrees and angle nmp = 103degrees

m ∠LMP =77 degrees and m ∠LMP = 103 degrees

It is given that Angle LMP=-16x+13

Angle NMP=-20x+23

We have to find m∠LMP and m∠NMP.

What is the sum of pair of linear angles?

The sum of pair of linear angles is always 180 degrees

∠LMP+ ∠NMP=180

-16x+13-20x+23=180

-36x+36=180

-36x=180-36

-36x=144

x=-4

Now substitute value of x in Angle LMP and Angle NMP

Angle LMP=-16x+13 =-16(-4)+13=77 degree

Angle NMP=-20x+23 =-20(-4)+23=103 degree

To learn more about pair of linear angles click here:

https://brainly.ph/question/16759465

#SPJ2

Second one is correct, The value of -a - c is positive

See, from the number line a = -6 and c = 2

Now, -a - c

= -(-6) -(2)

= +6 - 2 = 4

Which is true...