can someone help? it’s 7th grade math and im finishing this project for the end of the year

Answer:

y = -(1/6)x - 6

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

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

x + 6y = -24

Subtract x from both sides

6y = -x  - 24

Divide both sides by 6

y = -(1/6)x - 4

slope = -1/6

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

Parallel lines have the same slope

therefor the parallel line is

y = -(1/6)x - 6

Answer: [tex]2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{32x^{8} y^{10} } =\sqrt[3]{2^{3} \cdot 2^{2} \cdot x^{2} \cdot (x^{2} )^{3} \cdot y \cdot (y^{3})^{3} } =2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]

Answer:

Option C :

               [tex]\sqrt[3]{32x^8y^10} = 2x^2 y^3 \sqrt[3]{4x^2 y}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{32x^8y^{10}}} = ( 32 x^8 y^{10})^{\frac{1}{3}}[/tex]

              [tex]= ( 2^5 \times x^8 \times y^{10})^{\frac{1}{3}}\\\\= ( 2^{5\times\frac{1}{3}} \times x^{8 \times \frac{1}{3}} \times y^{10 \times \frac{1}{3}})\\\\=(2^{\frac{3}{3} + \frac{2}{3}}} \times x^{\frac{6}{3} + \frac{2}{3}} \times y^{\frac{9}{3} + \frac{1}{3}})\\\\= 2 \times 2^{\frac{2}{3}} x^2 \times x^{\frac{2}{3}} \times y^3 \times y^\frac{1}{3}\\\\=2x^2 y^3 \times 2^{\frac{2}{3} \times }x^{\frac{2}{3}} \times y^{\frac{1}{3}}\\\\=2x^2 y^3 (2^2x^2 y)^{\frac{1}{3}}\\\\= 2x^2y^3 \ \sqrt[3]{ \ 4 x^2 \ y }[/tex]

Answer: It's A

Step-by-step explanation:

Answer:

D) cot(C) = 1/2.

Step-by-step explanation:

We can go through each choice and examine is validity.

Choice A)

We have:

[tex]\displaystyle \sec B=\frac{3}{7}[/tex]

Recall that secant is the ratio of the hypotenuse to the adjacent.

With respect to B, the adjacent is 6 and the hypotenuse is 7.

Therefore, sec(B) should be 7/6 instead.

A is incorrect.

Choice B)

We have:

[tex]\displaystyle \cot B=\frac{3}{2}[/tex]

Cotangent is the ratio of the adjacent side to the opposite.

With respect to B, the adjacent side is 6 and the opposite side is 3.

Therefore, cot(B) = 6/3 = 2.

B is incorrect.

Choice C)

C is incorrect for the reasons listed in A.

Choice D)

We have:

[tex]\displaystyle \cot C=\frac{1}{2}[/tex]

Again, cotangent is the ratio of the adjacent side to the opposite.

With respect to C, the adjacent side is 3 and the opposite side is 6.

So, cot(C) = 3/6 = 1/2.

Therefore, D is the correct choice!

Answer:

7(5sqrt ^2y)

Step-by-step explanation:

Answer: 7(5square root x^2y)

Step-by-step explanation:

By Factorisation

4(5[tex]\sqrt{ x^2y[/tex] )+ 3(5[tex]\sqrt{ x^2y[/tex] )= 4+3(5[tex]\sqrt{ x^2y[/tex] ) = 7(5[tex]\sqrt{ x^2y[/tex] )

Answer:

5 < 10x - 3

Step-by-step explanation:

5 - 2x < 8x - 3

Add '2x' to both the sides

5 - 2x + 2x < 8x + 2x - 3

5 < 10x - 3

Answer:

[tex]\frac{18}{p}[/tex]

Step-by-step explanation:

Answer:

She will need to pay $206.50 per month.

Step-by-step explanation:

Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:

 $2,478

---------------- = $206.50/month

12 months

She will need to pay $206.50 per month.

Answer:

[tex]circumference = 25.13 \ cm[/tex]

Step-by-step explanation:

[tex]circumference = 2 \pi r = 2 \pi 4 = 8 \pi =25.13 \ cm[/tex]

Answer:

the perfect cube is [A] 1

Answer:

y = 1.44x⁴

Step-by-step explanation:

From the question,

Y∝d²

To remove the proportionality sign we introduce a constant.

Y = kd²............... Equation 1

make k the subject of the equation

k = Y/d²............. Equation 2

Given: Y = 4, d = 10

Substitute these values into equation 2

k = 4/10²

k = 4/100

k = 0.04

Substitute these value of k in equation 1

Y = 0.04d²................ Equation 3

Similarly,

d∝x²,

d = Cx²

make C the subject of the equation

C = d/x²................... Equation 4

Given:  d = 24, x = 2

Substitute into equation 4

C = 24/2²

C = 24/4

C = 6

Hence,

d = 6x²................... Equation 5

Substitute the value of d in equation 5 into equation 3

y = 0.04(6x²)²

y = 0.04(36x⁴)

y = 1.44x⁴

Hence the formula for y in terms of x is y = 1.44x⁴

Answer:

A number,m,is seven point two . Eighteen divided by a number,m,is seven point two

Answer:

its c

Step-by-step explanation:

just to make it easier for you:)

Answer:

1/8, 0.13,1/2, 7/8 it already is in order

Step-by-step explanation:

Answer:

Step-by-step explanation: 1/8, 0.13,1/2, 7/8 it already is in order

Answer:

20 Yellow Counters

Step-by-step explanation:

You can see the clues with how the ratio changes.

To change from (1:4) => (5:1) is not because any were taken away from the value that is the Yellow counters, it is purely because the amount added to the blue counters was so large that they simply simplified the ratio.

The real value of the ratio if reverted back to it's original state would be:

=> (20:4)

95 blue counters is equivalent to 19 in the ratio. We know this because it increased from 1 to 20.

95/19 => 5

Each Ratio in the original one presented is equal to 5.

5 * 4 = 20 Yellow Counters

Answer:

sorry I don't Know ·ω·

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

25=125^k

5^2=5^3k

2=3k

k=2/3

The value of k is k = 2/3.

The number of times a number is multiplied by itself is referred to as an exponent.

Given that, [tex]25 = 125^k[/tex].

Follow the steps to find the value of k:

[tex]25 = 125^k\\\\5^2=(5^3)^k\\\\5^2=5^{3k}[/tex]

Since the base of the exponents is the same, it follows:

2 = 3k

k = 2/3

Hence, the value of k is k = 2/3.

Learn more about exponents here:

https://brainly.com/question/5497425

#SPJ2

Answer:

4

Step-by-step explanation:

Let's say our number is n.

First, we have two times a number. This can be represented by 2 times our number, n, or 2*n

Next, we have that is 16 greater than ... It is hard to conceptualize what 2*n is 16 greater than, so we can move on and save this for later.

Furthermore, we have two times the opposite of the number. Opposite represents the opposite side of a number line, e.g. if the number was 5, the opposite would be -5. This can be represented by multiplying our number n by -1, or -1 * n = -n. We then take two times of this opposite, or 2 * -1 * n = -2 * n.

So far, we have 2*n is 16 greater than -2 * n. We can then say that if a first number is 16 greater than a second number, we must add 16 to the second number to get the first number. Applying that here, we can say that 2*n = -2*n + 16

We then have

2*n = -2*n + 16

We then want to separate the n from the real number(s) (16 in this case). To do that, we can add 2*n to both sides, making our equation

2*n+2*n = 16

4*n = 16

Then, we can finally divide both sides by 4 to get

n = 4

Answer:

[tex]2x^{2} +bx-3=0[/tex]

Step-by-step explanation:

General form. A quadratic function [tex]f(x)[/tex] is of the form [tex](ax^2+bx+c)[/tex] where [tex]a,b,c[/tex] ∈ R or C and [tex]a[/tex] ≠ [tex]0[/tex].

We obtain an equation when [tex]f(x)=0[/tex]

⇒ [tex]ax^{2} +bx+c=0[/tex] is an quadratic equation.

Solution.

Given, [tex]a=2,c=-3[/tex], but b is not given

Thus the quadratic function with leading coefficient [tex]a=2[/tex] and constant term [tex]c=-3[/tex] is given by

[tex]f(x)=2x^{2} +bx-3[/tex]

∴ the required quadratic equation is

[tex]2x^{2} +bx-3=0[/tex]

The volume is 1024. the base lengths are all 16 inches

Answer:

2/15

Step-by-step explanation:

1/5 + 2/3

= 3/15 + 10/15

= 13/15

15/15 - 13/15

= 2/15

Answer:

The sequence converges to 1.

Step-by-step explanation:

Sequence 2/4, 3/5, 4/6, 5/7

This sequence can be summarized as:

[tex]\sum_{n=0}^{\infty} \frac{n+2}{n+4}[/tex]

To test if it converges, we can calculate the limite of [tex]\frac{n+2}{n+4}[/tex] as n goes to infinite.

Limit:

[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4}[/tex]

Considering only the terms with the highest exponent in the numerator and the denominator:

[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4} = \lim_{n \rightarrow \infty} \frac{n}{n} = \lim_{n \rightarrow \infty} 1 = 1[/tex]

Thus, the sequences converges to 1.

Answer:

population=300,000

population size per year=4.5%

population size for 8 years=8 × 4.5%

=0.36

=108000

Answer:

7 < 8.5 < 9

Step-by-step explanation:

Well < and > mean greater and less than so put it from the smallest to the largest

Answer:

l

Step-by-step explanation:

A sequence is an ordered list of numbers.....

A term is an element in a sequence.

You can expand a sequence by finding and writing....

The next term in the sequence is A = (general term)

1 km = 1000 meters

2 km = 2 x 1000 = 2,000 meters

Area = length x width

Area = 2,000 x 8.3 = 16,600 square meters

Cost:

Multiply total area by cost per square meter:

16,600 x 30 = £498,000

Answer:

C

Step-by-step explanation:

[tex]5x+y=-23[/tex]

Graph it and see which plots are on the line:

-3, -4 is not.

-5, -3 is not.

-4, -3 is.

-3, -5 is not.