Question 11 (1 point)
Find the slope between the two given points.

The result of the expression [tex]\frac{1}{5^{-1} }[/tex] is 5

The expression is [tex]\frac{1}{5^{-1} }[/tex]

To solve this problem first we have to rearrange the terms and do the arithmetic operations on the expression.

Expressions is the mathematical statements that have a minimum of two terms containing numbers or variables, connected by an operator in between. The operator maybe addition, subtraction, division or multiplication. We have to use this operations on the like terms of the expression. To  solve the mathematical expression we have to do the arithmetic operation on like terms.

The expression is  [tex]\frac{1}{5^{-1} }[/tex]

We know

[tex]\frac{1}{a^{-1} }[/tex] = a

Apply this method in the expression

[tex]\frac{1}{5^{-1} }[/tex] = 5

Hence, The result of the expression [tex]\frac{1}{5^{-1} }[/tex] is 5

Learn more about expression here

brainly.com/question/14083225

#SPJ1

Answer:

Step-by-step explanation:

For number 8 the answer is y=2x+7 because our equation is y+1=2(x+4) distribute the 2 to get y+1=2x+8 and you then do inverse operation by subtracting the 1 on both sides to get y=2x+7 and the slope intercept form is y=mx+b so that’s why

for number 9 the answer is (0,7) as to find the y-intercept, substitute in 0 for x and solve for y as y+1=2((0)+4) distribute the 2 after doing 0+4 to get y+1=8 inverse operation so subtract 1 to get 7 so that’s why it’s (0,7)

and for 10 the answer is 2x−y=−7

The effects of the transformations on the functions are given as follows:

When one function is multiplied by a negative number, the function is reflected, either over the x-axis or over the y-axis, depending on where the multiplication happened, hence:

In the context of this problem, in both cases, the function is being multiplied by a number that has absolute value between 0 and 1, which can either horizontally stretch the function, in the case of function f(kx), , or vertically compress, in the case of function kf(x).

More can be learned about transformations to functions at https://brainly.com/question/28725644

#SPJ1

Answer:

The area is 426 square feet.

The domain and range of the of this function C(n) = 120 + 8n, in the context of the situation is 10 ≤ n ≤ 24 and 200 ≤ C ≤ 312 respectively.

The set of inputs a function can accept is referred to as the domain of the function in mathematics. DOM (f) or DOM f, where f is the function, may be used to indicate it.

A function f: X to Y has X as its domain, to put it more precisely. The domain of a function is not a property of it, but rather a part of the definition in contemporary mathematical terminology.

The function f can be represented graphically using the Cartesian coordinate system in the unique situation where X and Y are both subsets of R. A projection of the function's graph onto the graph's x-axis in this instance serves as the domain's representation.

We have given the function C(n) = 120 + 8n where n is no. of children going to trip which must be at least 10 and function C is the total cost trip.

If at least 10 children must go to make the trip possible, then n must be greater than 10 and the total no. of children is 24 which gives us

10 ≤ n ≤ 24, n is restricted between 10 and 24

Also, if n is at least 10, the putting the value in the function C(n) = 120 + 8n gives us

C(n) = 120 + 8(10)

      = 200

Which means C must be greater or equal to 200 but we also take the condition in consideration that all students are going to the trip meaning 24 children is n, which gives us

C(n) = 120 + 8(24)

      = 312

This gives us, 200 ≤ C ≤ 312, that is C is restricted between 200 and 312.

Learn more about domain

https://brainly.com/question/26098895

#SPJ13

Answer:

3.2

Step-by-step explanation:

Answer: 2

Step-by-step explanation: 2 is less than 20 and is not composite. 2 is only divisible by one and itself.

All even numbers greater than 2 are composite.

Answer:  2

Step-by-step explanation:

2 is the only even prime number. It is less than 20 and not composite. It is divisible only by 1 and itself, as are all primes.

In this linear equation with one variable (7x-6), the value of x is 6/7.

The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution.

steps for finding x value:

Step 1: Add or subtract on both sides of the equation to keep the constants on one side and the variable term on the other.

Step 2: Make the constant terms simpler.

Step 3: By multiplying or dividing the variable on one side of the equation into both sides, isolate it.

Step 4: Write the solution down and simplify.

given that

7x-6 =0

7x = 6

x = 6/7

Hence the value of x is 6/7.

Learn more about linear equation with one variable from here:

https://brainly.com/question/28871326

#SPJ9

Answer:

Step-by-step explanation:

Because P is located between -8 and -10, your answer would be P=-9. I hope this answered your question!

a) The volume of the composite figure is represented by the cubic equation V = x³ + 16 · x.

b) The measure of the missing side x in the composite figure is 3 inches.

a) In the first part of the question we need to derive the volume formula of the composite figure, which is the sum of the volumes of the cube and the rectangular prism:

V = V' + V''

V = x³ + 16 · x, where x is in inches.

The volume is represented by V = x³ + 16 · x.

b) If we know that V = 25 · x, then the measure of the missing side is:

First, set the volume formula found in section a):

V = x³ + 16 · x

Second, replace the volume:

25 · x = x³ + 16 · x

Third, simplify the expression and clear x within the resulting equation by algebra properties:

25 = x² + 16

x² - 9 = 0

x² = 9

x = 3

The measure of the missing side x is 3 inches.

To learn more on volumes: https://brainly.com/question/1578538

#SPJ1

about -71 degrees Fahrenheit

branliest?

The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .

In the question ,

it is given that

the present value of the camper van (P₀) = $38000

given the depreciation rate is 15% each year (r)= -0.15

The future value y ,of the camper van can be given by the formula

y = P₀*(1 + r)ˣ

On putting the values , we get

y = 38000*( 1 - 0.15)ˣ

y = 38000*(0.85)ˣ

Therefore , The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .

Learn more about Exponential Equation here

https://brainly.com/question/22687491

#SPJ1

Answer:

The answer is 56 yards

Step-by-step explanation:

Im sorry I'm not smart enough to answer I just look around for it but I'm sorry I can't explain.

The coordinates of y-intercept are [tex](0,10)[/tex]

What is the y-intercept of a function?

When a graph crosses the y-axis, that location is known as the y-intercept. It is the value of y at x=0, to put it another way.

We are given a function [tex]y=x^{2} -15x+10[/tex].

We have to find the y-intercept of the above function.

to find that we put [tex]x=0[/tex] in the above function we get,

[tex]y=x^{2} -15x+10\\y=0^{2}-15(0)+10\\ y=10[/tex]

The coordinates of y-intercept can be given as [tex](0,10)[/tex].

Hence the coordinates of y-intercept are [tex](0,10)[/tex].

To learn more about the y-intercept of a function refer the link

https://brainly.com/question/10606087

#SPJ13

In the expression 10p + 3q + 2  we have total three terms -  

10p, 3q and 2.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given in the question is a expression as follows -

10p + 3q + 2

In order to identify the number of terms in this expression, it is important to keep in mind that the terms of an expression are separated from one another by the following → + (Addition),  - (Subtraction). In some cases, (equal to) '=' , (less than) '<' , (greater than) '>' are also used

There are total 3 terms as -

10p, 3q and 2.

Therefore, in the expression 10p + 3q + 2  we have total three terms -  

10p, 3q and 2.

To solve more questions on expressions, visit the link below-

brainly.com/question/11915983

#SPJ1

In terms of geometry, a rectangular prism is a 3-dimensional solid shape with six faces and rectangles as its base.

Answer: The figure's surface area is 1672 [tex]cm2[/tex]. Detailed explanation: Surface area of the prism plus surface area equals the surface area of the figure.

How do you calculate a rectangular prism's surface area and volume?

Rectangular prisms have surfaces equal to the sum of their side areas, and their volumes are equal to their length times breadth times height.

Use the formula SA=2B+ph to determine a prism's surface area. SA stands for surface area, B for the prism's base area, p for the base's perimeter, and h for the height of the prism.

To learn more about Rectangular prism refer to:

https://brainly.com/question/24284033

#SPJ13

The quantities do not have a proportional relationship because the ratio of the cost to shirts is not equivalent.

The two quantities would have a proportional relationship if the constant of proportionality are equal. The constant of proportionality would be equivalent to the cost of one shirt.

The equation that can be used to determine the constant of proportionality is:

k = y / x

Where:

k = 25 / 2

k = 12.60

k = $36 / 3

k = $12

The quantities are not proportional because the constant of proportionality are different.

To learn more about constant of proportionality, please check: https://brainly.com/question/8598338

#SPJ1

Answer:

55800

Step-by-step explanation:

55300+500=55800

Answer:

B, C

Step-by-step explanation:

√16 = 4 and √64= 8

so if √16 / √64,

then 4/8

lastly, 4/8 equals to 1/2

you can find this because 4 goes into 4 and 8 so 4/4=1 and 8/4=2

so 1/2

hope this helps :)

Answer:

1 13/20

Step-by-step explanation:

The area of rectangular is 10 + 8i.

Given,

A rectangular room has lengths and width are 2i and (4 - 5i) respectively.

To find the area of rectangular.

Now, According to the question :

We know that,

Area of rectangular = L x B

where,

L = Length of rectangular

B = Breadth of rectangular

Here, Length and breadth are complex numbers.

and hence, we should remember [tex]i^2[/tex] = -1

Area of Rectangular is = (4 - 5i) x 2i

=8i - 10[tex]i^2[/tex]

= 8i - 10 (-1)

= 8i + 10

Hence, The area of rectangular is 10 + 8i.

Learn more about Area of Rectangular at:

https://brainly.com/question/19498199

#SPJ1

The value of the constant of proportionality k = 36

The Direct Variation :

Direct Variation is said to be the relationship between two variables in which one of the variables is multiple of the other variable.

When x is directly proportional to y then the relation can be written as  

= >  x ∝ y  

=>   x = ky  [ here k is constant value ]

Here we have,

The number of words Latisha can text 'y' is varies directly with 'x' the number of minutes spent texting

Here, y = 180  and  x = 5

From the above data,  

=>  180 = k (5)  

=> k = 180/5 = 36

Learn more about The Direct Variation at

https://brainly.com/question/15785278

#SPJ4

The positive integers (n) for which the perimeter of sector AOB is greater than 20 are 7, 8, 9 and 10. Also, the positive integer (n) for which the perimeter of sector AOB is less than 30 is 11.

The length of an arc of a circle increases as the sector angle increases, provided that the radius of the circle remains the same. Additionally, the ratio of the length of an arc (arc length) of a circle to the circumference of the circle is equal to the ratio of the sector angle to angle measure of a circle (360°).

By applying this ratio to this circle, we would have the following mathematical expression:

Length of arc AB/Circumference = Sector angle/360°

Rearranging the above mathematical expression, we have:

Length of arc AB = (Sector angle/360°) × Circumference

Note: Circumference = πd = π × 2n = 2πn

Sector angle = 360°/n

Substituting the given parameters into the expression, we have;

Length of arc AB = (360°/n/360°) × 2πn

Length of arc AB = 2π

Next, we would calculate the perimeter of sector AOB:

Perimeter of sector AOB = Length of arc AB + AO + OB

Perimeter of sector AOB = 2π + n + n

Perimeter of sector AOB = 2π + 2n

If the perimeter of sector AOB is greater than (>) 20, the positive integers (n) is given by:

P > 20

2π + 2n > 20

2n > 20 - 2π

n > 10 - π

n > 10 - 3.142

n > 6.858 ≈ 6.9.

Therefore, n = 7, 8, 9, and 10.

If the perimeter of sector AOB is less than (<) 30, the positive integers (n) is given by:

P < 30

2π + 2n < 30

2n < 30 - 2π

n < 15 - π

n > 15 - 3.142

n > 11.858 ≈ 11.9.

Therefore, n = 11.

Read more on a circle and arc length here: brainly.com/question/28108430

#SPJ1

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's try solving the equation to the best of our ability before the two variables 'a' and 'b' limit us

       [tex]\text{Copy down the equation}\\2(3x + 5) + ax =5(4x - b)\\\\\text{Multiply the outside constants into the function in the parentheses}\\}6x + 10+ax = 20x - 5b\\\\\text{Let's put the coefficients of the variable on the left-side together in parentheses}\\6x + ax + 10 = 20x - 5b\\(6 + a)x+ 10 = 20x - 5b[/tex]

Now to make the equation works:

              ⇒ [tex]6 + a = 20[/tex]   ⇒ a = 14

              ⇒ -5b = 10      ⇒ b = -2

Answer:

Hope that helps!

#LearnwithBrainly

Answer:

Step-by-step explanation:

You want the values of 'a' and 'b' that make 2(3x+5)+ax=5(4x-b) a tautology.

One way to do this is to rewrite the equation in general form. You can do that by subtracting the right-side expression.

  2(3x +5) +ax -5(4x -b) = 0

  6x +10 +ax -20x +5b = 0 . . . . . . eliminate parentheses

  (6 +a -20)x +(10 +5b) = 0 . . . . . . collect terms

This can be made identically zero by making the coefficients be zero.

  6+a-20 = 0 . . . coefficient of x

  a = 14 . . . . . . . add 14 to both sides

and ...

  10 +5b = 0 . . . constant term

  2 +b = 0 . . . . divide by 5

  b = -2 . . . . . . subtract 2 from both sides

To make the expression always true, you must have a = 14, b = -2.

Rico found a hailstone after a recent thunderstorm and calculated its volume to be 9.2 × 10 gallons, instead of gallons, among the following units the cubic meter would be the most appropriate unit for measuring the volume of Rico's hailstone.

As Rico found a hailstone after a recent thunderstorm and calculated its volume to be 9.2 × 10 gallons.

We know that,

The hailstone is in form of a sphere.

So, the volume of the sphere will be [tex]\left(\frac{4}{3}\right) \pi r^3[/tex]

So, [tex]\text { Volume of hailstone }=\left(\frac{4}{3}\right) \pi r^3[/tex]

From above, we can conclude that,

The unit of volume of hailstone depends on the value of the radius of the hailstone. (As here the other value is 4/3 and [tex]\Pi[/tex] is constant.

The most appropriate unit for measuring the value of the radius of the hailstone is the meter.

Hence, among the given, he should use the cubic meters for measuring the volume of the hailstone.

To know more about Hailstone:

https://brainly.com/question/21890591

#SPJ1

ANSWER :

D.

EXPLANATION :

From the problem, we have a graph that goes to positive infinity as x goes to the positive infinity.

Note that in an exponential function :

The function goes to positive infinity if "a" is greater than 1

The function goes to negative infinity if "a" is less than 1

Since the given graph goes to positive infinity, we are looking for the function whose "a" is greater than 1.

We have Options A and D.

Next is to check the y-intercept.

The graph intersects the y-axis at (0, -3)

Substitute x = 0 and f(x) should be -3

For Option A :

For Option D :

Therefore, the answer is D.

To find the volume of the figure.

volume of the figure=volume of the cone+volume of the rectangle prism.

volume of the figure=72+81=153 inch cube.

The perimeter of the figure measures 38 inches.

The perimeter will be equal to the sum of the measures of each side of the figure.

We can see that the bottom side measures 13 inches, and also does the top side (where the top side is "broken" into two parts).

Similarly, the right side measures 6 inches, and also does the left side, only that the left side is broken into two parts.

Then the perimeter of the figure is:

P = 13in + 13in + 6in + 6in = 26in + 12in = 38in

Learn more about perimeter:

https://brainly.com/question/24571594

#SPJ1

Expansion of (x + 3) (x + 5)   [tex]=x^{2} +8x+15[/tex]

How is  the expansion done?

Applying the Product of binomials rule,

(x+a) (x+b) = [tex]x^{2} +(a + b)x +ab[/tex]

Here, in the given expression:

a = 3 and b = 5

[tex](x + 3) (x + 5) =x^{2} +(3 + 5)x +15\\\\ =x^{2} +8x+15[/tex]

What is the product of binomials rule?

To learn more about product of binomials, refer:

https://brainly.com/question/25566343

#SPJ9