does someone mind helping me with this? Thank you!

[tex] \large \bf \implies{32 {m}^{15} {n}^{10} }[/tex]

[tex]\bf \longrightarrow{(2m^{3}n^{2})^{5} } \\ \\ \bf \longrightarrow {2}^{5} \times ( {m}^{3})^{5} \times ( {n}^{2})^{5} \\ \\ \bf \longrightarrow32( {m}^{3})^{5}( {n}^{2})^{5} \\ \\ \bf \longrightarrow32 {m}^{15} {n}^{10} [/tex]

Note : We have used the two exponent rules:

[tex](1) \: \: \large \bf \boxed{ \bf \green{(ab)^{n} = {a}^{n} \times {b}^{n} }}[/tex]

[tex](2) \: \: \large \bf \boxed{ \bf \green{(a^{n})^{m} = {a}^{nm} }}[/tex]

Step-by-step explanation:

30 cal for 1 lb

x cal for 38.45 lbs

x = 38.45lbs × 30 cals

x = 1153.5 cals

Using composite functions, the expression that models the distance that she runs is:

D. 5.5 - 0.1t.

The composite function of f(x) and g(x) is given by:

(f ∘ g)(x) = f(g(x)).

In this problem, we have that:

Hence the distance as a function of the temperature is given as follows:

(D ∘ S)(t) = D(S(t)) = 0.5(11 - 0.2t) = 5.5 - 0.1t.

Which means that option D is correct.

More can be learned about composite functions at https://brainly.com/question/10687170

#SPJ1

The constant of proportionality is $0.50.

A mathematical constant is a significant integer whose value is determined by an explicit definition. It is frequently denoted by a symbol or by the names of mathematicians to make it easier to use in a variety of mathematical situations.

The amount paid by Rocko is $12.50 for 25 game tickets.

The amount paid by Rocko is $17.50 for 35 game tickets.

A proportional relation can be written as:

y = k × x

where k is a constant, y is the cost, and x represents the number of tickets purchased in this instance.

Substituting the values, for Rocko

$12.50 = k × 25

Therefore

k = $12.50 / 25

k = $0.50

For Louisa,

$17.50 = K × 35

K = $17.50 / 35

K = $0.50

Now, k = K

So we have the same value of the constant in both cases, which means that the constant of proportionality is k = $0.50.

Learn more about proportionality here:

https://brainly.com/question/1496357

#SPJ9

The number of games that will be played in the first round will be 14 games.

It should be noted that the appropriate function to use in this scenario will be:

= (n - 1) × 2

where n = total number of people participating.

Therefore, this will be:

= (n - 1) × 2

= (8 - 1) × 2

= 7 × 2

= 14

Therefore, the number of games that will be played in the first round will be 14 games.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

Answer:

calculators are available

Step-by-step explanation:

The variables in the point-slope form of a line (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.

Given that the variables in the point-slope form of a line.

The general form of the equation of a line is y - y₁ = m (x-x₁) where  m is the slope of line, y₁ and x₁ is any point on the line

It is an equation of degree one x and y represent the coordinate of the point on the line represented in the coordinate plane

m = slope of the line

The general equation of a line is y = mx + c where

m = slope of line

(x₁ , y₁) = it is the given point on the line as data points are represented as (x₁,y₁) , (x₂,y₂) , (x₃,y₃) and so on

(x ,y) = it is any point line where x is any point on the x-axis and y is any point on y-axis

Hence, the variables in the point-slope form of a line where (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.

Learn more about equation of line from here brainly.com/question/7623552

#SPJ9

Answer: x = 50°

Step-by-step explanation:

As you can see in the triangle, the two sides are congruent. One of the angles next to the congruent side is 50 degrees. Therefore the other angle also has to be 50 degrees.

Answer:

X=50°

Step-by-step explanation:

This is because the triangle is an isocele triangle and as we all know an isocele triangle is a triangle with 2 sides equal.

Answer:

Ratios compare two numbers, usually by dividing them If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10

Step-by-step explanation:

hope this helps u :) have a good day! ^-^

Answer:

n=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

3x = 21 ( isolate x by dividing both sides by 3 )

x = 7

We get the equation for the points of the data as x  y + 6 = 0

We are given the data as:

X              g(x)

10            - 16

11             - 17

12            - 18

13            - 19

We need to find the equation for the data.

Slope = ( - 17 + 16 ) / ( 11 - 10)

m = - 1 / 1 = - 1

Now, the equation will be:

y - y₁ = m (x - x₁)

Substituting the values, we get that:

y + 16 = - 1( x - 10)

y + 16 = - x + 10

x + y + 16 - 10 = 0

x + y + 6 = 0

Therefore, we get the equation for the points of the data as x  y + 6 = 0

Learn more about equation here:

https://brainly.com/question/1214333

#SPJ9

Answer:

hey thank you it's I don't know lol thanks

Which flaw most accurately illustrates the graphed function's domain?

The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.

Domain here refers to the x change. The values of with regard to function should be the domain in this case. Additionally, we need to pay attention to the blank line that starts at -9 to 2 in x values.

Since 9 should not be filled however 2 should be.

Therefore, The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.

To learn more about inequality visit: https://brainly.com/question/20383699

#SPJ9

( - 1.5 , -5 ) is  a horizontal translation one unit right.

What is the formula for a vertical shrink?

Describe the transformation of the parent graph

f(x)=x^2 represented by g.

g(x)= -(2x+3)^2 - 5

Graph represents ( - 1.5 , -5 )

Learn more about vertical shrink

brainly.com/question/1447109

#SPJ4

Answer: -6.62 x 10^-8

Step-by-step explanation:

Answer:

1194 ....................... is the answer

we get that the total cost that Sara has to pay to mail these two mails will be equal to 4 6.12.

Sara has 2 items:

Weight of 1st item = 7 ounces.

Weight of second item = 6 3/5 ounces = 33 / 5 ounces.

Total Weight of items to be mailed = 7 ounces + 33 / 5 ounces

Total Weight = 35 + 33 / 5 ounces = 68 / 5 ounces.

Now, cost of mailing 1 ounce per mail = $ 0.45

Cost of mailing 68 / 5 ounce of mails = 68 / 5 × $ 0.45

Total cost = $ 6.12

Therefore, we get that the total cost that Sara has to pay to mail these two mails will be equal to 4 6.12.

Learn more about cost here:

https://brainly.com/question/2021001

#SPJ9

A parabola has an axis of symmetry y =3 and passes through the point (2, 1), another point that lies on the graph of the parabola is (2,5).

Axis of symmetry:

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

Given,

Axis of Symmetry y = 3.

One point = (2,1)

Here we need to find the another point that lies on the graph of the parabola.

Use the axis of symmetry.

Point given (2,1) is 2 units away from that axis, lower.

=> 1 + 2 = 3

Take two units higher,

=> 3 + 2 = 5

and is the another point (2,5), on the same parabola.

To know more about Axis of Symmetry here.

https://brainly.com/question/22495480

#SPJ1

It is true that if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function.

Without further explanation, matrices represent linear maps and enable explicit computations in linear algebra. In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or a property of such an object. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices. The composition of linear maps, for instance, is represented by matrix multiplication.

To learn more about matrix, Visit:

https://brainly.com/question/15250460

#SPJ4

Let [tex]x=2\cos(t)[/tex] and [tex]y=2\sin(t)[/tex], so that

[tex]x^2 + y^2 = 4\cos^2(t) + 4\sin^2(t) = 4[/tex]

is preserved. Then from the surface equation, we get

[tex]z = xy = 4\cos(t)\sin(t) = 2\sin(2t)[/tex]

The curve of intersection is then given by the vector function

[tex]\vec r(t) = 2\cos(t) \, \vec\imath + 2\sin(t)\,\vec\jmath + 2\sin(2t)\,\vec k[/tex]

Answer: n= -1/2 -3m

Step-by-step explanation:

here's the coordinates

b'= (4,5)

c'= (5,3)

The  total value of the uniform Aileen sold is x= 2260 on monthly Commission sells.

Given,

Let us assume the all little League uniform = x

Aileen first commission 10% of 2000$ in sales.

Aileen Second Commission 12% of (x-2000)$

Total Commission Aileen Earner = 10% ×2000 + 12% × (x-2000)

                                       231.2   = 0.1× 2000 + 0.12× (x-2000)

                                        231.2   = 200 + (0.12x - 240 )

                                        231.2   = 200 +  0.12x - 240

   After Transformation, we get

                                        0.12x = 231.2 - 200 +240

                                        0.12x = 271.2

                                               x = 271.2/.12

                                               x = 2260

Aileen Sell the total value of Lopez Sporting Goods Uniform is 2260.

So the final Answer is  x = 2260$.

Learn more about the Commission here.

https://brainly.com/question/23386624

#SPJ9

Answer:

0.75

Step-by-step explanation:

it goes tenths hundredths thousandths....

Answer:

0.75

Step-by-step explanation:

4 is the hundredth in this number. The number after 4 is 5. The rule is if its 5 and over you round up and if not, you round down. In this case the number is 5 so we round up. So the number becomes 0.75 instead of 0.74

Answer:

d. p+1

a negative 1 point something decimal plus one negative decimal.

gl sh awty

The word phrases given can be written in algebraic expressions as:

1. B. 4g

2. B. 6/(x + y).

"Product" means multiplication.

"The product of g and 4" can be written as an algebraic expression as: 4 × g = 4g.

"Quotient" means the result you get by dividing a number by another number.

"Sum" means addition, or what you get by adding two quantities together.

Therefore, "the sum of x and y" is written in algebraic expression as: x + y.

Thus, the quotient of 6 and (x + y) would be written in algebraic expression as: 6/(x + y).

Therefore, the word phrases given can be written in algebraic expressions as:

1. B. 4g

2. B. 6/(x + y).

Learn more about the algebraic expression on:

https://brainly.com/question/2164351

#SPJ1

The graphs of the equations can be obtained by finding the intercepts, and drawing a line through the intercepts.

1. Please find attached the graph of 2•x - y - 6 = 0

2. Please find attached the graph of 4•x + 2•y + 8 = 0

The graph of the linear equations using the x and y intercepts are found as follows;

1. 2•x - y - 6 = 0

Therefore;

2•x - y - 6 = 0

y = 2•x - 6

The y-intercept is given by the point where x = 0

The y-intercept is therefore;

y = 2×0 - 6 = -6

The x-intercept is given by the point where y = 0

Therefore;

0 = 2•x - 6

x = 6/2 = 3

Please find attached the graph of 2•x - y - 6 = 0, created using the x and y-intercept.

2. 4•x + 2•y + 8 = 0

Therefore;

4•x + 2•y + 8 = 0

y = -(4•x + 8)/2 = -2•x - 4

y = -2•x - 4

The y-intercept is therefore;

y = -2×0 - 4 = -4

The y-intercept is y = -4

The x-intercept is therefore;

0 = -2•x - 4

x = -4/2 = -2

The x-intercept is at x = -2

Please find attached the graph of 4•x + 2•y + 8 = 0, created using the x and y-intercept.

Learn more about the graphs of linear equations here:

https://brainly.com/question/14630858

#SPJ1

Answer: [tex]\frac{3}{4s}[/tex]

Step-by-step explanation:

3s^2 / 4(s)^3=

3s^2 / 4s^3=

3/4 * s^2/s^3=

3/4 * s^(2-3)=

3/4 * s^(-1)=

3/4 * 1/s=

3*1 / 4s=3/(4s)