The table shows the results from a random sample of 5 students at a high
school. Which option best describes the population from which this random
sample was taken?

Answer:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Step-by-step explanation:

Given

[tex]Dividend = 125x^3 - 8[/tex]

[tex]Divisor = 5x - 2[/tex]

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

[tex]\frac{125x^3}{5x} =25x^2[/tex]

Write [tex]25x^2[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]

[tex]= 125x^3 - 50x^2[/tex]

Subtract from 125x^3 - 8

i.e.

[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]

Step 2:

Divide 50x^2 by 5x

[tex]\frac{50x^2}{5x} = 10x[/tex]

Write [tex]10x[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]

[tex]= 50x^2 - 20x[/tex]

Subtract from 50x^2 - 8

i.e.

[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]

Step 3:

Divide 20x by 5x

[tex]\frac{20x}{5x} = 4[/tex]

Write [tex]4[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]4[/tex]

[tex]= 20x - 8[/tex]

Subtract from 20x - 8

i.e.

[tex]20x - 8 - (20x - 8) = 0[/tex]

Hence:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Answer:

$57.44

Step-by-step explanation:

1. subtract 15% from the bill with coupon:

$56.32 - ($56.32 x 0.15) = $47.87

2. add 20% to this new bill:

$47.87+(47.87 x 0.20) = $57.44

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{6 - 3}{0 - ( - 4)} [/tex]

[tex]m = \frac{6 - 3}{0 + 4} [/tex]

[tex]m = \frac{3}{4} [/tex]

Answer:

3.14

Step-by-step explanation:

Answer:

The equations are not compatible

Step-by-step explanation:

y = -4x + 3

8x + 2y = 8

substitute for y:

8x + 2(-4x + 3) = 8

simplify:

8x - 8x + 6 = 8

6 ≠ 8

Answer:

1

Step-by-step explanation:

3 divided by 1/3 is 9, and 9-9=0

0+1=1

1

Step-by-step explanation:

Required Data :

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

Answer:

Julie is Incorrect

Step-by-step explanation:

Given the data:

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

Arrangement in ascending order :

1, 1 1/4, 1 3/4, 1 3/4, 2, 2, 2, 2 1/2, 2 3/4, 3, 3 1/4, 3 3/4.

The least amount of time spent is : 1

The most amount of time spent is : 3 3/4

From Julie's assertion, that the most amount of time spent is equal to 1 1/2 the least amount of time spent.

Most amount of time = 1 1/2 * least amount of time

3 3/4 = 1 * 1 1/2

15/4 = 3/2

However, 15/4 ≠ 3/2

Hence, Julie is incorrect

Answer:

y = 4 + x

Step-by-step explanation:

Appetizer recipe Miki knows already = 4

Appetizer recipe learnt per week = 1

x = number of weeks

y = total number of appetizer recipes Miki knows

Equation that shows the relationship between the number of weeks x and the number of appetizer recipes y

y = 4 + x

Answer:

±5

Step-by-step explanation:

4x²-100=0

4x²=100

x²=100/4

x²=25

x=√25

x=±5

Answer:

4x^

Step-by-step explanation:

4x^2 = 100

4x^2/4 = 100/4

x^2=25

x=5

Answer:

y=26 (no x ) the y int is 26 I believe

Step-by-step explanation:

Answer:

18 km/h.

..

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.

.

Answer:

Step-by-step explanation:

[tex]s=\frac{d}{t}\\ \\ s=\frac{54km}{3hr}\\ \\ s=18\frac{km}{hr}[/tex]

Answer:

Sedimentary rocks usually form in visible layers

Step-by-step explanation:

A is wrong because not all igneous rock is formed by pressure

B is wrong because sedimentary rock is usually a surface rock

C is wrong because the rock cycle is sporadic and doesn't always end in igneous rock

D is correct because sedimentary rock is formed from years and years of sediment layering on top of each other

Answer:

I believe it's D

Step-by-step explanation:

Sorry if wrong!

Answer:

270 calories

Step-by-step explanation:

Answer:

2 5/6

Step-by-step explanation:

Find a common denominator. In this case, it's 12

5 9/12 - 2 11/12

borrow, kind of, but for fractions

4 21/12 - 2 11/12

subtract like normal

2 10/12

simplify

2 5/6

Answer:

the area is 17.5 ft if the shape is a square/rectangle

the area is 8.75 ft if the shape is a triangle

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

hey! so it's basically an "estimate" meaning that you can round all the measurements up to the nearest whole number. and since finding the prism's volume is l*h*w divided by 2, i did 7*5*10 and got 350. half of 350 is 175 which is the volume of the prism :)

Answer:

175

Step-by-step explanation:

the formula of triangular prism is

v = 1÷2( b×h×l)

base (b) =5.1cm

height( h) = 6.9

length ( l) = 9.9

v =1÷2 ( 5.1 × 6.9× 9.9 )

v = 174.19 cm^3

so th closest will be 175cm^3

Answer:

hi the answer submersible

Answer:

[tex]\sqrt{0.5}[/tex]

Step-by-step explanation:

cosx=adj/hyp

adj= [tex]\sqrt{2}[/tex]/2

hyp= r

cos(45)= ([tex]\sqrt{2}[/tex]/2)/r

[tex]\sqrt{2}[/tex]/2 = ([tex]\sqrt{2}[/tex]/2)/r

   multiply both sides by r

([tex]\sqrt{2}[/tex]/2)r = [tex]\sqrt{2}[/tex]/2

    divide both sides by [tex]\sqrt{2}[/tex]/2

r = 1

pythagorean theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a = [tex]\sqrt{2}[/tex]/2

b = y

c = r = 1

[tex](\sqrt{2}/2)^{2}[/tex] + [tex]y^{2}[/tex] = [tex]1^{2}[/tex]

    [tex](\sqrt{2}/2)^{2}[/tex] = 2/4 = 0.5

0.5 + [tex]y^{2}[/tex] = 1

    subtract 0.5 from 1

[tex]y^{2}[/tex] = 0.5

[tex]\sqrt{y^{2}}[/tex] = [tex]\sqrt{0.5}[/tex]

y = [tex]\sqrt{0.5}[/tex]

Answer:

add equation 2 from equation 3

Step-by-step explanation:

So, we are given equations 1, 2, and 3, but for this problem, we need to use just 2 and 3.

4x - 2y = -16

x + 2y = 6

In order to eliminate one variable, then we need to find whether there are two numbers that have the same coefficient (or multiply one by a number to make it) so that if you add/subtract two numbers, it gives you 0. So, in this problem, if you add

2y to -2y, then it gives you 0, which means that y would be canceled out.

So, the answer is the first option.

Feel free to ask any questions about clarity! (this explanation is pretty bad, but  I can explain it more if you want) :D

Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100

=131.59

Answer:-3x^2(9x^5-5)

Step-by-step explanation:

Step-by-step explanation:

-3x2(x2)-9x3+25x2

-3x2(x2+3x-5)

Step-by-step explanation:

I think Option A is your answer ☺️☺️☺️

Answer:

z=6

Step-by-step explanation:

3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3

Answer:

A. 4

B. 8

Step-by-step explanation:

Answer:

0.527

Step-by-step explanation:

From the question,

The sequence is Geometry Progression (G.P)

Tₙ = arⁿ⁻¹.......................... Equation 1

Where n = number of term, a = first term, r = common ratio

Given: n = 7, a = 6, r = 2/3

Substitute these values into equation 1

T₇ = 6(2/3)⁷⁻¹

T₇ = 6(2/3)⁶

T₇ = 6(64/729)

T₇ = 384/729

T₇ = 0.527

Hence, the 7th term of the sequence is 0.527

Answer:

$17,442 is the total cost after tax if that is what you're asking for.

Step-by-step explanation:

cost x 1.02

Answer:

Total cost: $17,442

Just tax: $342

Step-by-step explanation: