Y to the 15 over y to the x is equal to y to the 7th. Find the missing exponent.

Answer:

25 and 18

Step-by-step explanation:

Answer:

5A, 6C*

Step-by-step explanation:

5. Required area = 2*area of triangle + area of rectangle

= 2*1/2 of bh + lw

= bh+lw

= 10.4*15.3+7*18.5

= 288.62 sq. mm

6. Required area (TOTAL surface area) = 3*area of rectangle + 2*area of triangle

= 3lw + bh

= 3* (7*24) + (24 * 20.78)

= 504 + 498.72

= 1002.72 sq. mm (*please verify it with your teacher)

Answer:

f(x) = 2x²+12x+21

Step-by-step explanation:

1. Start with Vertex Form: y = a(x-h)²+k; Vertex (h,k)=(-3,3):

  y = a(x + 3)²+3

2. Replace x and y with (x,y)=(4,101) in your step 1 equation:

   101 = a(4+3)²+3

3. Simplify the right side and solve for a:

   101 = 49a+3

   49a = 98

   a = 2

4. Replace a with 2 in your step 1 equation:

   y = a(x + 3)²+3  ⇒  y = 2(x + 3)²+3

5. Follow Order of Operations to convert step 4 equation to Standard Form: (x + 3)² = x²+6x+9

          2(x²+6x+9) = 2x²+12x+18

          2x²+12x+18 + 3 = 2x²+12x+21

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attachment shows the table of point values and the graph.

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer: the answer is a. 11,627

Step-by-step explanation: a. doesn't round up to 13,000 but instead to 12,000

Answer:

756 m²

Step-by-step explanation:

I just know the answer XD

Based on the characteristics of linear and piecewise functions, the piecewise function \(f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.\) is shown in the graph attached herein. (Correct choice: A)

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b     (1)

Where:

By direct observation and by applying (1) we have the following piecewise function:

\(f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.\)

Based on the characteristics of linear and piecewise functions, the piecewise function \(f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.\) is shown in the graph attached herein. (Correct choice: A)

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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

(E) square

Step-by-step explanation:

because it's all side's are equal

A, B, C, D, E, F

A square is all of them :D

Answer:All non-negative integers less than 70 for f(n) and All integers greater than or equal to 70

Step-by-step explanation:

It asks about the price before and after the free delivery.I’m not the best at explaining but I hope my answer helped.

The domain of the given functions are required.

The domain of \(f(n)\) is All non-negative integers less than 14.

The domain of \(g(n)\) is All integers greater than or equal to 14.

When the order is less than $70 a delivery charge of $89 is added and each plant costs $5.

The function representing the situation is

\(f(n)=89+5n\)

If the order is or more than $70 then the function will be

\(g(n)=5n\)

The domain of a function is the permissible values of \(n\) for which the function is valid.

In the first function the number of plants that need to be bought so that the order will be 70 dollars would be

\(\dfrac{70}{5}=14\)

So, only if less than 14 plants are bought then the first function can be used.

Also, the number of plants cannot be negative or zero hence it will be positive.

So, the domain of \(f(n)\) is All non-negative integers less than 14.

In the second function the number of plants has to be 14 or more as it costs 70 dollars or more.

So, the domain of \(g(n)\) is All integers greater than or equal to 14.

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Answer:

option 1 is correct .. triangle ABC is congruent to DEF..

Answer:

quadrant ll

Step-by-step explanation:

the point is located in the second quadrant because the x-intercept is negative & the y- intercept is positive

Answer:

8

Step-by-step explanation:

a triangle for each side

The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.

We are given:

y = 1/8 x − 1                 ..............equation i.

− 5x + 4y = − 13          ..............equation ii.

We will use the substitution method to solve the given equation.

substitute the value of y from equation i in equation ii, and we will get;

− 5x + 4(1/8 x − 1) = − 13

− 5x + 1/2 x − 4 = − 13

(-10 + 1) / 2 x = -13 + 4

-9/2 x = -9

x = -9 * 2 / -9

x = 2

Put the value of x in equation i, we will get;

y = 1/8 *2 − 1

y = 1/4 - 1

y = 1 - 4 / 4

y = -3 / 4

So, the value of x = 2 and the value of y = -3 / 4.

Thus, the solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.

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The part of the expression that represents the amount of tax Deborah will pay is 0.08(50h).

The given expression is known as a linear equation. A linear expression is an expression that has a single variable raised to the power of 1.

Tax is the compulsory amount levied by on goods and services. Tax is usually a percentage of the price of a good and service. Taxes increases the price of a good or service. The tax paid would increase with the total income earned.

Tax = tax percentage x total cost

Tax = 0.08 x (total hours worked x cost per hour)

Tax = 0.08 x (50 x h)

Tax = 0.08(50h)

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Answer: 11 weeks

Step-by-step explanation:

The answer is 11 weeks when simplified.

Answer:

\(\frac{7}{10}\)

Step-by-step explanation:

To find the local and absolute maximum and minimum points of the function f(x) = (3/5)x^5 - 9x^3 + 2 on the closed interval [-4,5], we need to follow these steps:

a) Find all critical numbers (x-coordinates only):

To find the critical numbers, we need to identify where the derivative of the function is zero or undefined. Let's find the derivative of f(x) first:

f'(x) = 3x^4 - 27x^2

Now, set the derivative equal to zero and solve for x:

3x^4 - 27x^2 = 0

Factoring out a common factor of 3x^2, we get:

3x^2(x^2 - 9) = 0

This equation is satisfied when either 3x^2 = 0 or x^2 - 9 = 0.

For 3x^2 = 0, we have x = 0.

For x^2 - 9 = 0, we have x = -3 and x = 3.

Therefore, the critical numbers (x-coordinates) are 0, -3, and 3.

b) Find the intervals on which the graph is increasing (mark critical numbers):

To determine the intervals of increasing, we need to analyze the sign of the derivative on each side of the critical numbers. We create a sign chart for f'(x):

Interval (-∞, -3): Choose a test point x < -3, e.g., x = -4

f'(-4) = 3(-4)^4 - 27(-4)^2 = 768 > 0

The derivative is positive, indicating the graph is increasing.

Interval (-3, 0): Choose a test point x between -3 and 0, e.g., x = -1

f'(-1) = 3(-1)^4 - 27(-1)^2 = -24 < 0

The derivative is negative, indicating the graph is decreasing.

Interval (0, 3): Choose a test point x between 0 and 3, e.g., x = 1

f'(1) = 3(1)^4 - 27(1)^2 = -24 < 0

The derivative is negative, indicating the graph is decreasing.

Interval (3, ∞): Choose a test point x > 3, e.g., x = 4

f'(4) = 3(4)^4 - 27(4)^2 = 768 > 0

The derivative is positive, indicating the graph is increasing.

Therefore, the graph is increasing on the intervals (-∞, -3) and (3, ∞).

c) Find the intervals on which the graph is decreasing (mark critical numbers):

From the analysis above, we can see that the graph is decreasing on the intervals (-3, 0) and (0, 3).

d) Find all local maximum points:

To find the local maximum points, we need to examine the points where the graph changes from increasing to decreasing. By observing the sign changes in the derivative, we can identify potential local maximum points.

From our analysis in part b, we can see that the graph changes from increasing to decreasing at x = -3 and x = 0. Therefore, these are the local maximum points.

e) Find all local minimum points:

To find the local minimum points, we need to examine the points where the graph changes from decreasing to increasing. By observing the sign changes in the derivative, we can identify potential local minimum points.

From our analysis in part c, we can see that the graph changes.

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Answer:

The dolphin will be above the surface of the water for 2 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

The height of the dolphin after t seconds is given by:

\(h(t) = -16t^2 + 96t - 128\)

According to Micha's model, how long will the dolphin be above the surface of the water?

It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which \(h(t) = 0\) it crosses the surface upwards, and then the second time for which \(h(t) = 0\) it crosses the surface downwards.

We have to find these roots. So

\(h(t) = -16t^2 + 96t - 128\)

\(-16t^2 + 96t - 128 = 0\)

Multiplying by -16

\(t^2 - 6t + 8 = 0\)

\(\Delta = (-6)^{2} - 4*1*8 = 36 - 32 = 4\)

\(t_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4\)

\(t_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2\)

4 - 2 = 2

The dolphin will be above the surface of the water for 2 seconds.

Surface area overall of a cone is A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Volume of a cone:

V = (1/3)πr2h

Cone's slant height:

s = √(r2 + h2)

Lateral surface area of a cone:

L = πrs = πr√(r2 + h2)

Cone (circle) base surface area:

B = πr2

Total surface area of a cone:

A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

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Answer:

Area of the circle = 227.0095 cm^2

Step-by-step explanation:

Given:

To Find:

Area of the circle

Soln:

We know that,

Area of the circle: πr²

where:

But we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.

\( \rm \: Diameter = 2(r)\)

Where

Substitute the value of Diameter:

Diameter = 2r

17 = 2r

17/2 = r

8.5 = r

r = 8.5

Now we got the radius, so substitute radius onto the formulae:

\(\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2\)

According to the Dietary Guidelines for American 2015, you should limit your fat intake to 25% - 35% of your total calories. The correct option is B.

Food-based dietary guidelines also known as dietary guidelines are intended to serve as a foundation for public food and nutrition policies, health and agricultural policies, and nutrition education programs aimed at promoting healthy eating habits and lifestyles.

Calories are the units of energy released by your body when it digests and absorbs food. The higher the calorie content of a food, the more energy it can provide to your body. When you consume more calories than you require, your body stores the excess calories as fat. Even fat-free foods can be high in calories. In this case, the fay should not be more than 35%.

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