PLZ ANSWER THESE THREE QUESTIONS I WILL MARK AS BRAINLIEST
Write (7x⁵)² as a single power of x

Write (4x⁷)³ as a single power of x

Write (2x⁶)⁶ as a single power of x

Answer:39 years ago

Step-by-step explanation:The difference between his age and his sister's is 4.So when he was 8 she 4.So you do 47-8 which is 39.

The following statements are true:

81 is a perfect square.

729 is a perfect cube.

We have,

- 81 is a perfect square because it can be expressed as the square of a whole number.

In this case, 81 is equal to 9², where 9 is the square root of 81.

- 729 is a perfect cube because it can be expressed as the cube of a whole number.

In this case, 729 is equal to 9³, where 9 is the cube root of 729.

The statement "81 is both a perfect square and a perfect cube" is incorrect. While 81 is a perfect square, it is not a perfect cube because it cannot be expressed as the cube of a whole number.

Thus,

The following statements are true:

81 is a perfect square.

729 is a perfect cube.

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Two cubic functions with x-intercepts at (-2, 0) and (5, 0), and a y-intercept at (0, 20) can be represented by the equations f(x) = k(x + 2)(x - 5)(x - r) and g(x) = k(x + 2)(x - 5)(x + r), where r is a constant.

To find the equations of the cubic functions, we can start by considering the x-intercepts. Given that the x-intercepts are (-2, 0) and (5, 0), we know that the factors in the equations will be (x + 2) and (x - 5), respectively. To include the y-intercept at (0, 20), we need to determine the constant k.

For the first cubic function, let's denote it as f(x), we introduce another factor (x - r) to the equation. The complete equation becomes f(x) = k(x + 2)(x - 5)(x - r). Substituting the y-intercept, we have 20 = k(0 + 2)(0 - 5)(0 - r), which simplifies to 20 = -10kr. Solving for k, we find k = -2/r.

For the second cubic function, denoted as g(x), we introduce (x + r) as the additional factor. The equation becomes g(x) = k(x + 2)(x - 5)(x + r). Substituting the y-intercept, we have 20 = k(0 + 2)(0 - 5)(0 + r), which simplifies to 20 = 10kr. Solving for k, we find k = 2/r.

Therefore, the equations of the two cubic functions with the given x-intercepts and y-intercept are f(x) = -2(x + 2)(x - 5)(x - r) and g(x) = 2(x + 2)(x - 5)(x + r), where r is a constant.

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Answer:

C

Step-by-step explanation:

They are all integers so they are rational numbers, they are whole numbers as well except there are negative numbers so they are not all natural.

Step-by-step explanation:

let the number be x

x+x -4=5

2x- 4=5

2x =5+4

2x =9

divide both sides by 2

x=9/2=4.5

Answer:

meron po bang pagpipilian ng sagot

Answer:

\(g(f(2))=3\)

Step-by-step explanation:

So we have:

\(f(x)=4x-3\text{ and } g(x)=\frac{2x-1}{3}\)

And we want to solve for g(f(2)).

First, find f(2):

\(f(2)=4(2)-3\)

Multiply:

\(f(2)=8-3\)

Subtract:

\(f(2)=5\)

Now, substitute this in for g(f(2)):

\(g(f(2))=g(5)\)

Substitute this in for g(x):

\(g(5)=\frac{2(5)-1}{3}\)

Multiply:

\(g(5)=\frac{10-1}{3}\)

Subtract:

\(g(5)=\frac{9}{3}\)

Divide:

\(g(5)=3\)

Therefore:

\(g(f(2))=3\)

The equation must satisfies the Kent calculation is k² - 8k + 12 = 0

The term equation in math is called as a mathematical expression that contains an equals symbol.

Here we have given that Kent multiplies both sides of the equation below by an expression.

And then he moves all the terms to one side of the equal sign in the resulting equation.

Here we have the given equation is

=> k+12/k= 8

When we multiply both sides by k.

=> k² + 12 = 8k

Now we have to subtract 8k from both sides to move all the terms to one side of the equal sign then we get

=> k² + 12 - 8k = 0

Hence the required equation is k2 - 8k + 12 = 0.

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Answer:

80

Step-by-step explanation:

you can take the ratio 2:3:4 as

2x + 3x + 4x = 180

9x = 180

x= 20

4(20) = 80

Answer:

D) 20

Step-by-step explanation:

Set up an equation: 2x+3x+4x=180

9x=180

180/9=20

Answer: D) 20degrees

The coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)

The given parameters are

Number of pen = 2

Unit price = $2

This means that the total amount spent is

Total amount = Number of pen * Unit price

Evaluate the product

Total amount = 2 * 2

Evaluate the product

Total amount = 4

So, the coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)

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Answer: If you use 3.14 for pi you get 2858.09

But if you use the actual pi symbol you get 2144.6

Step-by-step explanation:

The formula for a sphere is v=4/3r³

Using 3.14: V= 4/3·3.14·8³

                    V= 4/3·3.14·512

                    V=2858.09

And using the actual  pi symbol using the same steps gets you 2144.6

The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

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The vector-valued function of the line segment from P to Q is:

r(t) = (-8 + 7t, -4 - 5t, -4 - 2t)

Given that the coordinates of point P are (-8, -4, -4) and the coordinates of point Q are (-1, -9, -6). Let the vector be given by `r(t)`. Since P corresponds to `t=0` and Q corresponds to `t=1`, we can write the vector-valued function of the line segment from P to Q as:

r(t) = (1 - t)P + tQ where 0 ≤ t ≤ 1.

To verify that `r(t)` traces the line segment from P to Q, we can find `r(0)` and `r(1)`.

r(0) = (1 - 0)P + 0Q

= P = (-8, -4, -4)r(1)

= (1 - 1)P + 1Q

= Q = (-1, -9, -6)

Therefore, the vector-valued function of the line segment from P to Q is given by:

r(t) = (-8(1 - t) + (-1)t, -4(1 - t) + (-9)t, -4(1 - t) + (-6)t)

= (-8 + 7t, -4 - 5t, -4 - 2t)

Thus, the vector-valued function of the line segment from P to Q is:

r(t) = (-8 + 7t, -4 - 5t, -4 - 2t)

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Answer

~~~~~~~~~~~~

slope: 1

y intercept: 4

equation: y=x+4

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

She is so adorable

Step-by-step explanation:

Very adorable doggo

Answer:

She's adorable!! What type of dog is she?

Step-by-step explanation:

I have two rottweilers and I love them sooooo much <3

EXPLANATION

In this photo should be 5+5+1+1=12 people.

The answer is 12 people.

Problem 11

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

Work Shown:

The surface area of a 3D sphere is 4pi*r^2. So a hemisphere has surface area 2pi*r^2 since we cut the surface area in half.

Plug in r = 6 (half of the diameter 12) and we get 2pi*r^2 = 2pi*6^2 = 72pi

Now consider the circle with radius r = 6. Its area is pi*r^2 = pi*6^2 = 36pi

Add the two areas and we get 72pi+36pi = 108pi

Lastly, use your calculator to get 108pi = 108*3.1415926535898 = 339.292006587699 which rounds to 339

======================================

Problem 12

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

Explanation:

Look at where the "0" in the bottom sliding portion lines up with the number scale above. That "0" is between 19 and 20 mm. So you could argue that 19.2 and 19.5 are both valid answers, but I think 19.5 is the better answer since the tickmark seems to be right in the middle (more or less).

Step-by-step explanation:

surface area of hemisphere =3πr²

=3*3.14(6)²

=339.12m²

diameter of pipe= 19.5mm

Answer:7 -3

              6 0

13-6=7

7-10=-3

25-19=6

18-18=0

Step-by-step explanation:

Answer:

third option from the top

Step-by-step explanation:

7. -3

6. 0

Answer:

-16

Step-by-step explanation:

Or you could use desmos scientific calculator

The probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is approximately 0.012 or 1.2%.

To solve this problem, we need to count the number of ways to choose 10 cards from a deck of 52 cards and then divide by the total number of ways to put these cards into 4 piles.

Step 1: Count the total number of ways to choose 10 cards from a deck of 52 cards using the combination formula:

C(52, 10) = 52! / (10! × 42!) = 158,200,242,880 / (3,628,800 × 99,884,160) = 1,787,671

Step 2: Count the total number of ways to put 10 cards into 4 piles. We can think of each card as having 4 choices, one for each pile. Therefore, the total number of ways to put the cards into piles is:

\(4^{10}\) = 1,048,576

Step 3: Count the number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1.

First, we need to choose 4 cards from the 10 cards to go into the largest pile. This can be done in C(10,4) ways:

C(10,4) = 10! / (4! × 6!) = 210

Then, we need to choose 3 cards from the remaining 6 cards to go into the next largest pile. This can be done in C(6,3) ways:

C(6,3) = 6! / (3! × 3!) = 20

Next, we need to choose 2 cards from the remaining 3 cards to go into the next largest pile. This can be done in C(3,2) ways:

C(3,2) = 3! / (2! × 1!) = 3

Finally, the remaining card goes into the smallest pile. Therefore, there is only one way to put the card into the smallest pile.

Therefore, the total number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is:

C(10,4) × C(6,3) × C(3,2) × 1 = 210 × 20 × 3 × 1 = 12,600

Step 4: Calculate the likelihood by dividing the number of ways in Step 3 by the number of ways in Step 2:

P = 12,600 / 1,048,576 = 0.012 or 1.2%.

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Answer:

there ar no graphs. Wish i could help. To add a screenshot, select the paperclip icon when posting a question and add the image like that.

If you need to know how to take a screenshot on your device, tell me the brand and name of your device

Example: Brand; Acer, Name; Chromebook

Step-by-step explanation:

The ratio of the number of tulips to roses in Julia's garden is 5:4.

A ratio is a quantitative comparison between two or more quantities or values.

Let the number of roses Julia planted is denoted by 'R',

and the number of tulips she planted is denoted by 'T'.

According to the given information,

"One half of the number of roses Julia planted is 2/5 the number of tulips she planted."

So, the mathematical expression is

(1/2)R = (2/5)T

T = (5/2)(1/2)R

T = (5/4)R

As, the ratio of the number of tulips to roses is T:R, which can be expressed as (5/4):1 or simply 5:4.

Therefore, the ratio is 5:4.

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The point on the graph where the tangent plane is parallel is (52, 52, -5382).

What is the tangent plane?

The surface that contains all tangent lines of the curve at a point, $P$, that lies on the surface and passes through the point is represented by the tangent plane. We discovered earlier in our talks of derivatives and tangent lines that we can use tangent lines to mimic the behavior of a graph. We may employ tangent planes for a similar reason now that we're working with multivariable functions and three-dimensional coordinate systems.

Here, we have

Given: Let P be the tangent plane to the graph of g(x, y) = 26 – 13x² – 26y² at the point (4, 2, –286). Let f(x, y) = 26 – x² - y².

We have to find the point on the graph where the tangent plane is parallel.

Let P be the tangent plane to the graph z = g(x, y) = 26 – 13x² – 26y² at the point (4, 2, –286).

φ(x,y,z) = 13x² + 26y² + z - 26

Δφ = 26xi + 52yj + k

Δφ(4, 2, –286) = 104i + 104j + k

Then,

P: 104(x-4) + 104(y-2)+1(z+286) = 0

104x + 104y + z = 338...(1)

Now, Let

ψ(x,y,z) =  x² + y² + z - 26

Δψ = 2xi + 2yj + k

Let (x₀,y₀,z₀) be the point of the graph z = f(x,y) = 26 – x² - y² where the tangent plane in the plane is parallel to equation (1).

Δψ (x₀,y₀,z₀)  =  (2x₀,2y₀,1)

= 2x₀/104 = 2y₀/104 = 1/1

x₀ = 52 = y₀

Now, z₀ = 26 – x₀² - y₀² = 26 – 52² - 52²= -5382

Hence,  the point on the graph where the tangent plane is parallel is (52, 52, -5382).

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Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

If you can, please give me a Brainliest, I need 2 more to get to the highest rank,  thank you!

Answer:

When the price of a good that complements a good decrease, then the quantity demanded of one increases and the demand for the other increases. When the price of a substitute good decreases, the quantity demanded that good increases, but the demand for the good that it is being substituted for decreases.

The circle centered at C(-5,4) intersects the line y = 3x + 2 at the point Q, with coordinates (-1/10, 17/10). This point Q serves as the tangent point between the line and the circle.

To find the coordinates of the point Q where the line y = 3x + 2 is tangent to the circle with center C(-5,4), we can use the concept of the slope of a tangent line.

First, we need to find the slope of the tangent line. The slope of the line y = 3x + 2 is 3. For a tangent line to a circle, the radius drawn from the center of the circle to the point of tangency is perpendicular to the tangent line. Since the slope of the radius is the negative reciprocal of the tangent line's slope, the slope of the radius is -1/3.

Next, we find the equation of the radius line passing through the center C(-5,4) with a slope of -1/3. Using the point-slope form, we have:

y - 4 = (-1/3)(x + 5)

To find the point of tangency, we solve the system of equations formed by the line y = 3x + 2 and the radius line:

y = 3x + 2

y - 4 = (-1/3)(x + 5)

Substituting the value of y from the first equation into the second equation:

3x + 2 - 4 = (-1/3)(x + 5)

3x - 2 = (-1/3)x - 5/3

3x + (1/3)x = 5/3 - 2

(10/3)x = -1/3

x = -1/10

Substituting this value of x back into the first equation:

y = 3(-1/10) + 2

y = -3/10 + 20/10

y = 17/10

Therefore, the coordinates of the point Q, where the line y = 3x + 2 is tangent to the circle with center C(-5,4), are (-1/10, 17/10)

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-1000000 that is the answer

hope this helps!

Answer:

B and C

Step-by-step explanation:

The given linear programming problem aims to maximize the objective function \(Z = 3x1 + 2x2\), subject to four constraints: x1 ≤ 4, x2 ≤ 6, 3x1 + 2x2 ≤ 18, and x1 ≥ 0, x2 ≥ 0.

The objective of linear programming is to optimize (maximize or minimize) a linear objective function while satisfying a set of linear constraints. In this case, the objective is to maximize \(Z = 3x1 + 2x2\).

The constraints in the problem define the feasible region, which is the set of all points that satisfy the constraints. The constraints state that x1 must be less than or equal to 4, x2 must be less than or equal to 6, and the linear combination \(3x1 + 2x2\) must be less than or equal to 18. Additionally, both x1 and x2 must be greater than or equal to zero.

To solve this linear programming problem, graphical methods or optimization algorithms such as the simplex method can be employed. The feasible region is determined by graphing the constraints and finding the overlapping region. The optimal solution is the point within the feasible region that maximizes the objective function.

The explanation of the solution, including the optimal values of x1 and x2, the maximum value of Z, and the graphical representation of the problem, can be provided based on the chosen method of solving the linear programming problem.

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