4. Find the volume of the prism.
3 mm
4 mm
4 mm

Answer:. If the Area is 177, it should have been given in square centimeters.

If one side is 13 cm, the other side is about 13.6cm.

If one side is 11 cm, the other side should be about 16.1 cm. Even the choice is incorrect!

A/x = w

Step-by-step explanation: to find a side when the Area is given, divide the Area by the length or width given.

Answer:

c. 2+4(n-1)

b. 4+3(n-1)

Step-by-step explanation:

Look at the pattern: it starts at 2, and each term afterwards goes up by 4 each time. 2+4 = 6+4 = 10... et cetera.

2+4(n-1) is the equation.

Test this out with the fifth term.

t₅ = 2 + 4(n-1) = 2 + 4*4 = 2+16 = 18

Test it out with the first term, too.

t₁ = 2 + 4(n-1) = 2 + 4(0) = 2

If you follow the same pattern with part b, you find that the equation is

4+3(n-1)

Test it in the same manner.

Answer: The total price for ant farm is $12.84

Step-by-step explanation:

The price of ant farm =  $ 12

The sales tax on the  price = 7%

Noe, 7% of $12 =

⇒The tax amount on the price = $0.84

So, the Taxed amount = The original price  + Tax

$ 12 + $0.84  = $12.84

Hence the total price for ant farm is $12.84

Answer:

Y>14/5

Step-by-step explanation:

Hope I helped:)

Answer:

y>14/5

Step-by-step explanation:

4y+3y>2y+14

Step 1: Simplify both sides of the inequality.

7y>2y+14

Step 2: Subtract 2y from both sides.

7y−2y>2y+14−2y

5y>14

Step 3: Divide both sides by 5.

5y/5>14/5

y>14/5

Answer:

4/8 or 1/2 more to go

Step-by-step explanation:

3/8 plus 1/8 is 4/8

so 8/8 minus 4/8 is 4/8

Answer:

(4,2) is the answer

Answer:

C

Step-by-step explanation:

The mean of a set of values is the average of all of them. The median is just the center most value when you arrange the values in order from least to greatest, or the average of the most central two if there is an even number of values. The mode is simply the value that shows up the most. The single, low outlier does not affect the median and mode almost at all, and only has a large influence on the mean, since it brings down the average. Therefore, the correct answer is choice C. Hope this helps!

Answer:

The mean... the median is in the middle, it won't change, the mode is the most repetitive number and it won't change neither... so the mean will be the most affected.

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

[tex]\frac{3^{n+4} - 3^n}{16}[/tex]

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

[tex]\frac{3^{n+4} - 3^n}{16}[/tex] becomes

[tex]\frac{3^n * 3^4 - 3^n}{16}[/tex]

Factorize

[tex]\frac{3^n(3^4 - 1)}{16}[/tex]

[tex]\frac{3^n(81 - 1)}{16}[/tex]

[tex]\frac{3^n(80)}{16}[/tex]

3ⁿ * 5

5(3ⁿ)

The expression can not be further simplified.

However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.

Answer:

Use the formula;

[tex]V=\pi r^{2}h[/tex]

if diameter is given, divide by 2 to find the radius,

if circumference is given, divide by π and 2 to find the radius,

if the length of an arch is given, find the total circumference, and find the radius.

Answer:

D

Step-by-step explanation:

∠ C faces side AB, thus

∠ C is opposite AB → D

Answer: 2819

Step-by-step explanation: 1xxmxm

Answer:

Read explanation

Step-by-step explanation:

The inference can be made, that customers buy less books during in-store sales, and they buy larger amounts of books during online sales.

Answer:

Step-by-step explanation:

Mr. Anderson drove 168 miles in 3 1/2 hours: d1 = 168 mi  

t1 = 3 1/2 hr

t1 = 3.5 hr

v1 = the first rate

v1 = d1/t1

v1 = 168/3.5

v1 = 48 mph

He then drove 2 1/4 hours at a rate of 5 miles an hour faster than the first rate:

t2 = 2 1/4 hr

t2 = 2.25 hr

v2 = v1 + 5

v2 = 48 + 5

v2 = 53 mph

d2 = the distance

d2 = v2*t2

d2 = 53*2.25

d2 = 119.25 mi

during the total time 3 1/2 + 2 1/4 = 5 3/4 hr Mr. Anderson drove:

d1 + d2 = 168 + 119.25 = 287.25 mi.

Hope that helps :)

Answer:

the answer is 8 cm because if you add up all the numbers of perimeter and then divide it by 4 that's all the sides of the square

Answer:

(15,18)

Step-by-step explanation:

write two equations with the information provided.

2x + 3y = 84

x + 4y = 87

use the property of substitution to answer.

x + 4y = 87,   x = 87 - 4y

2(87 - 4y) + 3y = 84

174 - 8y + 3y = 84

174 - 84 = 8y - 3y

90 = 5y

90/5 = y

y = 18

Add the value of Y to an original equation. Solve for X

2x + 3(18) = 84

2x + 54 = 84

2x = 84 - 54

2x = 30

x = 30/2

x = 15

Answer:

x = 58°

Step-by-step explanation:

First, we need to find the green angle on the bottom left of the triangle.

We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.

Equation:

114 + a = 180

Solve:

114 + a = 180

-114         -114

a = 66

Therefore, the value of the green angle is 66 degrees.

Now, we need to find the value of angle x.

We know that the sum of the angles in a triangle is 180 degrees.

So, 56° + 66° + x = 180°

Equation:

56 + 66 + x = 180

Add:

56 + 66 + x = 180

122 + x = 180

Subtract:

122 + x = 180

-122        -122

x = 58

Therefore, x is 58 degrees.

Answer:

58

Step-by-step explanation:

An exterior  angle is equal to the two remote interior angles. It would be easier to understand that just by adding the numbers in an equation.

Exterior angle = 114

Remote interior angles = x and 56

exterior angle = sum of x and 56 which are the two remote interior angles.

x + 56 = 114          Subtract 56 from both sides.

x+56-56=114-56

x = 58

Answer:

3125*k^9 + y^3 is an integer my closure property.

 but 5^(1/3) is not an integer, which forces z to be irrational.

Note that there is no way an integer value can rationalize 5^(1/3)

Step-by-step explanation:

x^3 = 25z^3 - 5y^3

x^3 = 5 ( 5z^3 - y^3)

x  =  (5 ( 5z^3 - y^3) )^(1/3) must be an integer

  = 5^(1/3) * (5z^3 - y^3)^(1/3)

Then  (5z^3 - y^3)^(1/3) = 25*k^3 for some integer k

 5z^3 - y^3 = 15625*k^9

 5z^3 = 15625*k^9 + y^3

  z^3 = 3125*k^9 + (1/5)*y^3

z =  ( 3125*k^9 + (1/5)*y^3 )^ ( 1/3)

So the right answer is 166.375 ^3

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

166.375m^3

Step-by-step explanation:

V=lwh

=5.5m×5.5m×5.5m

=166.375m^3

The required number of defective batteries is 29 out of 400 batteries tested. Option C. is correct.

The probability that a battery is defective is 1/14. The probability that a battery is defective is 1/14. If 400 batteries are tested, how many are expected to be defective s to be determined?

Probability can be defined as the ratio of favorable outcomes to the total number of events. it can be denoted as,
Probability = number of favorable outcomes / total sample space

The probability that a battery is defective given by,
P(D) = 1/14 = 0.072 or 7.2%
400 batteries are tested while multiplying the defective percentage to the number of batteries it gives the defective number of batteries

Number of defective batteries,
= 400 * 7.2%
= 400 * 7.2/100
=≈ 29

Thus, the required number of defective batteries is 29 out of 400 batteries tested. Option C. is correct.



Learn more about probability here:

brainly.com/question/14290572

#SPJ5

Answer:

The answer is A [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

y = 2x - 8

Let y =0

0 = 2x-8

Add 8 to each side

8 = 2x-8+8

8 = 2x

Divide each side by 2

8/2 = 2x/2

4 =x

Answer:

It's any point in the mixed color area

Step-by-step explanation:

The coordinates of a point in the solution set is (3,2).

A relationship between two expressions or values that are not equal to each other is called 'inequality'.

Given is the graph of system of inequalities,

The two lines are intersecting at (3,2), and the point at which the two lines intersects is considered to be the solution of the given system of equation.

Hence, the coordinates of a point in the solution set is (3,2).

For more references on inequalities, click;

https://brainly.com/question/28823603

#SPJ2

Answer:

slope = 6

Step-by-step explanation:

The equation of a line in slope- intercep form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 2 ← is in slope- intercept form

with slope m = 6

Answer:

x = 35°

Step-by-step explanation:

Hope it helps you in your learning process

90° + x = 125° (vertical angles)

x = 125° - 90°

x = 35°

Answer:

Step-by-step explanation:

i think it on a straight line so therefore its 180

125+90 (the right angle)

wich is 215

215 - 180 = 35

i think not quite sure

hopes this helps

Answer:

i am lead to believe the answer is 4. if not, please don't hesitate to correct my mistake.

Step-by-step explanation:

Answer:

area of the sector = 360π cm²

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

If angle Ф is measured in degree, then

area of sector = Ф/360   × πr²

but if angle Ф is measured in radians, then

area of sector = 1/2 × r² × Ф

In this case the angle is measured in radiance, hence we will use the second formula

From the question given, radius = 15 cm  and angle Ф = 8π/5

area of sector = 1/2 × r² × Ф  

                         =1/2 × 15² ×  8π/5

                         =1/2 ×225 × 8π/5

                          =360π cm²

area of the sector = 360π cm²

Answer:

y= -7x+4

Step-by-step explanation:

(0,4)

(1,-3)

(2,-10)

4 is the y-intercept.

Answer:

7

Step-by-step explanation:

(3x + 24) = (8x-11)

24=5x-11

35=5x

x=7

Answer:

7

Step-by-step explanation: