what’s a equilateral triangle

The value of the power in the expression 5^4 is 625. This is found by multiplying the base (5) by itself 4 times, which is the exponent.

The value of the power is 54. This is because 54 is the base of the expression raised to the exponent 4. In other words, 54 is multiplied by itself 4 times.

Identify the base: The base is the number that is being raised to the power. In this case, the base is 5.

Determine the exponent: The exponent is the small number written above and to the right of the base. In this case, the exponent is 4.

Write the expression in expanded form: The expanded form of the expression is 5 x 5 x 5 x 5.

Evaluate the expression: 5 x 5 x 5 x 5 = 625.

Therefore, the value of the power is 625.

Answer:

A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions. All methods start with setting the equation equal to zero.

Step-by-step explanation:

Does that make sense?

The correlation between the z-scores for X and z-scores for Y is given by: Option A: 0.92

The correlation coefficient(for two variables) is independent of the change of origin and scale of any or both variables.

Thus, we get:

[tex]Corr(X, Y) = Corr\left(\dfrac{X - a}{b}, Y\right) = Corr\left(X, \dfrac{Y - c}{d}\right) = Corr\left(\dfrac{X - a}{b},\dfrac{Y - c}{d}\right)[/tex]

where a, b, c and d are constants.

Suppose the considered random variable be X.

Then, we get the z-scores for X as:

[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - E(X)}{\sqrt{E(X^2) - [E(X)^2]}}[/tex]

where [tex]\mu = E(X)[/tex] and [tex]\sigma = \sqrt{Var(X)}[/tex] (both are constants).

For this case, we're specified that:

The correlation coefficient for the z-scores of X and Y would be:

[tex]Corr\left(\dfrac{X -\mu_X}{\sigma_X}, \dfrac{Y - \mu_Y}{\sigma_Y}\right)[/tex]

Using the property that origin and scale change doesn't affect correlation coefficient, we get:

[tex]Corr\left(\dfrac{X -\mu_X}{\sigma_X}, \dfrac{Y - \mu_Y}{\sigma_Y}\right) = Corr(X,Y) = 0.92[/tex]

Thus, the correlation between the z-scores for X and z-scores for Y is given by: Option A: 0.92

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The correct answer to the question is option a) 0.92.

Formula for finding z score is:

where [tex]\mu[/tex] = E(X) and [tex]\sigma[/tex] = √(Var(X)) (both are constants).

We are provided with following information:

Corr(X,Y) = 0.92

Origin &  scale change does not affect correlation coefficient between two scores, so get:

If the correlation between two scores X and Y is 0.92, and both scores are converted to z-scores, the correlation remains unchanged.

This is a property of correlation coefficients, as they are invariant under linear transformations such as converting raw scores to z-scores.

Therefore, the correlation between the z-scores for X and z-scores for Y would be 0.92.

The correct answer is option a) 0.92.

Answer:

On edg it's 2kpi

Step-by-step explanation:

i took the test

The exact solution of the equation will be;

⇒ x = 2kπ

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ sin²x + 3cos x - 1 = 2

Now,

Since, The equation is,

⇒ sin²x + 3cos x - 1 = 2

We know that;

⇒ sin²x = 1 - cos²x

Substitute above value in equation (i), we get;

⇒ 1 - cos²x + 3cos x - 1 = 2

⇒ cos²x - 3 cos x + 2 = 0

⇒ cos²x - (2 + 1)cos x + 2 = 0

⇒ cos²x - 2cos x - cos x + 2 = 0

⇒ cos x (cos x - 2) - 1 (cos x - 2) = 0

⇒ (cos x - 2) (cos x - 1) = 0

This gives two solution,

⇒ cos x = 2

But it is not possible because the value of cos x is in between - 1 and 1.

⇒ cos x = 1

⇒ x = 2kπ + 0°

⇒ x = 2kπ

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The total volume of all the drawers in the dresser, which has 6 drawers high and 3 drawers wide, is found by multiplying these two values. Therefore, the total volume of all the drawers in the dresser is 18 cubic feet.

This problem involves the calculation of volume in a real-world context. We know that each drawer has a volume of 1 cubic foot, and the total volume of all the drawers can be obtained by multiplying the number of drawers across (width) by the number of drawers high (height). From the question, we know the dresser is 6 drawers high and 3 drawers wide. Therefore, the total volume is obtained by multiplying 6 (height) by 3 (width), which yields 18 cubic feet. Hence, the total volume of all the drawers in the dresser is 18 cubic feet.

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Answer:

The answer to your question will be n = 2

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

Final answer:

To rewrite expressions as a power of 2, one needs to understand exponent rules and binary representation. Squaring exponentials involves squaring the base and multiplying the exponent by 2. Simplification often involves adjusting prefactors and exponents while keeping the expression equivalent.

Explanation:

To rewrite expressions as a power of 2, it's important to understand how to manipulate exponents and to be familiar with the binary representation of numbers. For instance, squaring exponentials involves squaring the base number and multiplying the exponent by 2. As an example, if you have (23)4, it is the same as 23×4 or 212.

When dealing with decimal equivalents of powers of two, such as 1837, which can be written as (1 × 1024) + (1 × 512) + (1 × 256) + (0 × 128) + (0 × 64) + (1 × 32) + (0 × 16) + (1 × 8) + (1 × 4) + (0 × 2) + (1×1), the expression is already in powers of two. Similarly, recognizing patterns can help simplify expressions, for example, 24 × 1012 can be simplified by adjusting the prefactor and exponent to maintain equivalence.

Finally, powers are applied to everything inside parentheses. For instance, (27×3) and (4×22) becomes 2.1 × 10-33 when raised to the proper power.

Answer:

x = 47°

Step-by-step explanation:

m∠DPB + ∠BPC = 180° (Definition of a straight line)

Plug in the corresponding numbers and variables to the corresponding places:

x + 133 = 180

Isolate the variable, x. Subtract 133 from both sides:

x + 133 (-133) = 180 (-133)

x = 180 - 133

x = 47

47° is your answer.

~

Answer:

47 degrees

Step-by-step explanation:

DPC = DPB +BPC = 180

-> x + 133 = 180

-> x = 47

Answer:

[tex]4x > 52 \\ x > \frac{52}{4} \\ x > \frac{26}{2} \\ x > 13[/tex]

Answer:

14

Step-by-step explanation:

Plug in the numbers:

12 * 4 = 48 WRONG

13 * 4 = 52 WRONG

14 * 4 = 56 RIGHT

14

Answer:

its correct for positive numbers

Answer:

Jim’s statement is correct for all numbers greater than or equal to 0, and negative integers. It does not work for negative non-integer numbers. For example, the floor of –3.5 is –4, where –4 is not equal to –3, the number before the decimal point.

Step-by-step explanation: Math

The sets that represent proportional relationships are: B, C, and E.

Here's how we can determine which sets of points represent proportional relationships:
Set A:
Plot the points (1, 4), (3, 8), and (5, 9) on the graph.
Calculate the ratio of y to x for each point:
(4/1) = 4
(8/3) = (8/3)
(9/5) = (9/5)
As you can see, the ratios are not the same. Therefore, set A does not represent a proportional relationship.
Set B: (attachment 1)
Plot the points (3, 2), (6, 4), and (9, 6) on the graph.
Calculate the ratio of y to x for each point:
(2/3) = (2/3)
(4/6) = (2/3)
(6/9) = (2/3)
In this case, the ratios are all the same, which is 2/3. Therefore, set B represents a proportional relationship.
Set C: (attachment 2)
Plot the points (2, 2), (4, 4), and (6, 6) on the graph.
Calculate the ratio of y to x for each point:
(2/2) = 1
(4/4) = 1
(6/6) = 1
All the ratios are equal to 1. Therefore, set C represents a proportional relationship.
Set D:
Plot the points (1, 3), (2, 7), and (3, 8) on the graph.
Calculate the ratio of y to x for each point:
(3/1) = 3
(7/2) = (7/2)
(8/3) = (8/3)
The ratios are not the same. Therefore, set D does not represent a proportional relationship.
Set E: (attachment 3)
Plot the points (0, 0), (1, 2), (2, 4), and (4, 8) on the graph.
Calculate the ratio of y to x for each point:
(0/0) = undefined (division by zero)
(2/1) = 2
(4/2) = 2
(8/4) = 2
Ignoring the undefined ratio at (0, 0), we see that the ratios are all equal to 2. Therefore, set E represents a proportional relationship.

Complete and correct question:

Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply.

A.(1, 4), (3, 8), (5, 9)

B.(3, 2), (6, 4), (9, 6)

C.(2, 2), (4, 4), (6, 6)

D.(1, 3), (2, 7), (3, 8)

E.(0, 0), (1, 2), (2, 4), (4, 8)

Answer:

Step-by-step explanation:

It’s daddy

Answer:

6 in^2

12 in^2

96 in^2

AT = 108 in^2

Step-by-step explanation:

The area of one triangular face is

A1 = 1/2(4)(3) = 6 in^2

The area of the two triangular faces is:

A = 2A1 = 12 in^2

the area of the lateral faces is:

Al = 8(4) + 8(3) + 8(5) = 96 in^2

Hence, the total surface area is

AT = At + Al = 12 in^2 + 96 in^2 = 108 in^2

6

12  

96  

108

hope this helped <3

Answer:

∠NKL = 50°

Step-by-step explanation:

A parallelogram consists of two pairs of congruent angles.

So..

130 + 130 = 260

360 - 260 = 100

100 / 2 = 50

Answer:

  (x +4)^2 = 14

Step-by-step explanation:

The constant on the left wants to be the square of half the coefficient of the linear term:

  (8/2)^2 = 16

In order for it to be that value, we need to add 4 to the equation.

  x^2 +8x +12 +4 = 10 +4

  x^2 +8x +16 = 14 . . . . collect terms

  (x +4)^2 = 14 . . . . . . . write as a square

Answer:

(x+4)² - 14 =0

Step-by-step explanation:

x² + 8x + 12 =10

(x²+4²) - 4²+12 = 10

(x+4)² -4-10 = 0

(x+4)² - 14 =0

Note: When completing squares, in the equation above.

The arc length is a quarter of the circumference of the full circle, so 2πr/4.

The straight sides are both radii, so each length r.

Total perimeter

p = 2πr/4 + r + r = r(π/2 + 2)

We put in r=2, π=3.14 and get

p = (2(3.14/2 + 2)) = 3.14 + 4 = 7.14

Answer: 7.14 km

The perimeter is also known as the circumference. The formula for the circumference is C = pi x diameter.

Step 1) Find the diameter

d = r x 2

d = 2 x 2 = 4 km

Step 2) Find the whole circumference

C = pi x 4

C = 4pi km

Step 3) Find 1/4 of the circumference

4pi x 1/4 = 1pi

1pi = 3.14

Step 4) Add the sides not part of the arc

3.14 + 2 + 2 = 7.14

C = 7.14 km

Hope this helps! :)

Only Set 3 forms a right triangle as it satisfies the Pythagorean theorem, with side lengths matching the equation (√3)^2 + 4^2 = (√5)^2.

The question is about determining which set of side lengths will form a right triangle. To form a right triangle, the side lengths must satisfy the Pythagorean theorem, where the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides (a^2 + b^2 = c^2).

Let's check each set of side lengths:

Set 1: 62 + 72
eq (√12)2 (Not a right triangle)

Set 2: 82 + (√29)2
eq (√35)2 (Not a right triangle)

Set 3: (√3)2 + 42 = (√5)2 (Right triangle)

Set 4: 92 + (√26)2
eq 62 (Not a right triangle)

Therefore, only Set 3 forms a right triangle because it is the only set that satisfies the Pythagorean theorem.

Answer:

Convex or trapezium quadrilateral?

Step-by-step explanation:

All the angles are,

⇒ x = 30

⇒ 5x = 150

⇒ 4x = 120

⇒ 2x  = 60

Therefore, The quadrilateral is a Trapezoid.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The angles of a quadrilateral, taken in order, are x, 5x, 4x and 2x.

Since, We know that;

Sum of all angles of the quadrilateral are 360 degree.

Hence, We get;

⇒ x + 5x + 4x + 2x = 360

⇒ 12x = 360

⇒ x = 30

Thus, All the angles are,

⇒ x = 30

⇒ 5x = 5 × 30 = 150

⇒ 4x = 4 × 30 = 120

⇒ 2x = 2 × 30 = 60

Therefore, The quadrilateral is a Trapezoid.

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Answer:

29/50

Step-by-step explanation:

To solve this expression, we first have to make sure that the denominators are equal. If the denominators aren't equal, we can't add the fractions together. To make equivalent denominators, the easiest way is to find the LCM. Looking at these two fractions, we see that the LCM is 100. To get to 100 from 10 in the first fractions denominator we multiply by 10. Since we multiplied by 10 in the denominator, we must multiply by 10 in the numerator, leaving us with the fraction:

5/10 = 50/100

Since the denominators are now equal, we can add these two fractions:

50/100 + 8/100 = 58/100 = 29/50

Adding two fractions equal

[tex]\frac{5}{10}+ \frac{8}{100}=\frac{29}{50}[/tex]

To add any two fractions , the denominators should be same.

LCD is  the smallest number of all the common multiples of the given denominators

We need to add [tex]\frac{5}{10}+ \frac{8}{100}[/tex]

To add two fractions, we need to make the denominators same

multiples of 10 are 10,20,30,40,50,60,70,80,90,100......

multiples of 100 are 100,200, 300, 400 .......

Common multiple is 100. so LCD is 100

[tex]\frac{5}{10}+ \frac{8}{100}\\\\\frac{5 \cdot 10}{10 \cdot 10}+ \frac{8}{100}\\\\\frac{50}{100}+ \frac{8}{100}\\ \frac{50+8}{100}\\\\\frac{58}{100}\\\\\frac{29}{50}[/tex]

Adding two fractions,

[tex]\frac{5}{10}+ \frac{8}{100}=\frac{29}{50}[/tex]

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Answer:

50 cents each

Step-by-step explanation:

3.50/7 = .50

Answer:

Each cup costs $0.50

Step-by-step explanation:

Take the total cost and divide by the number of cups

3.50/7 = .50

Each cup costs $0.50

Answer: y= 5x+9

Step-by-step explanation: you subtract the 5x from both sides where it becomes a negative. then you divide everything by -1 and you come out with y=5x+9

The slope is:

Work/explanation:

This equation is almost in perfect slope intercept. Let's rearrange it just a little.

[tex]\sf{5x+y=-9}[/tex]

[tex]\sf{-y=-5x-9}[/tex]

[tex]\sf{y=5x+9}[/tex]

Now, parallel lines have equal slopes. This means that whatever the slope of line A is, the slope of line B will be the same, if lines A and B are parallel.

The slope of [tex]\sf{y=5x+9}[/tex] is 5.

Extra info

Slope intercept is y = mx + b where the slope is m and the y-intercept is b.

Answer:

16

Step-by-step explanation:

All we have to do is write this in vertex form of a quadratic. It is now in factored form. To get it into vertex form we must complete various steps. Here you can skip it using desmos graphing calculator:

Answer: 16 units.

Step-by-step explanation:

To find the vertex, first simplify the quadratic equation into its standard form:

[tex]h(x)=-(x+1)(x-7)\\h(x)=(-x-1)(x-7)\\h(x)=-x^2+6x+7\\[/tex]

Using this formula, we can then find the axis of symmetry by using the formula S = -b/2a:

[tex]S=\frac{-6}{-2}[/tex]

The axis of symmetry lies on x = 3.

You can then substitute x for 3 in the equation to find the vertex of the parabola:

[tex]h(3)=-9+18+7\\h(3)=16[/tex]

The ball will be 16 units high after travelling 3 units horizontally. This is the maximum height the ball will reach before falling.

Answer:

14

Step-by-step explanation:

Since angle ADC and ABC are both inscribed angles to opposite angles that must add up to 360 degrees, together they must add up to 180 degrees. You can therefore set up the following formula:

7x+2+6x-4=180

13x=182

x=14 degrees

Hope this helps!

Answer:

The area of the triangle is [tex]5x^4 + 4x^3[/tex] square units

Step-by-step explanation:

Given

Shape: Triangle

[tex]Height = 2x^2[/tex]

[tex]Base = 5x^2+4x[/tex]

Required

The area of the triangle

The area of a triangle is calculated as thus;

[tex]Area = \frac{1}{2}(base)(height)[/tex]

By substituting [tex]Height = 2x^2[/tex] and [tex]Base = 5x^2+4x[/tex]; This gives

[tex]Area = \frac{1}{2}(5x^2 + 4x)(2x^2)[/tex]

[tex]Area = \frac{(5x^2 + 4x)(2x^2)}{2}[/tex]

[tex]Area = (5x^2 + 4x)(x^2)[/tex]

Open Bracket

[tex]Area = 5x^2 * x^2 + 4x * x^2[/tex]

[tex]Area = 5x^4 + 4x^3[/tex]

Hence, the area of the triangle is [tex]5x^4 + 4x^3[/tex] square units

Answer:

[tex] \frac{8}{18} [/tex]

Step-by-step explanation:

[tex] \frac{4}{9} = \frac{4 \times 2}{9 \times 2} = \frac{8}{18} \\ [/tex]

Answer:

8/18, 12/27, 16/36, 20/45

Answer:

Step-by-step explanation:

[tex]A=\pi r^2=\pi *55^2[/tex] ≈ [tex]9503.31778mm^2[/tex]

Answer:

3025π

Step-by-step explanation:

A skateboard’s wheel is a circle and we need to work out the area of the skateboard’s wheel so we have utilise the formula π × r² where 'r' is the radius. So lets substitute in the values into the formula of finding out the area of the skateboard's wheel.

Area of skateboard's wheel = π × r²

→ Substitute in the values

Area of skateboard's wheel = π × 55²

→ Simplify

Area of skateboard's wheel = 3025π

Answer:

29.9

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Flipping two coins is independent because the outcome of the first coin doesn't affect the outcome of the second coin. There is still a 1/2 chance of of getting heads or tails.

If this answer is correct, please make me Brainliest!

Answer:

Step-by-step explanation:

answers A jus did itt

Answer:  A. yo is welcome bro

Step-by-step explanation:

Answer:

1. True

2. False

3. True

4. True

5. False

Step-by-step explanation:

1. Volume is labeled in cubic units, as it is the multiplication of 3 dimensions

2. Surface area is only labeled in square units, not cubic units, it is area after all, and that is the multiplication of 2 dimensions

3. The volume of many figures in general is through multiplication of base and height. Though there are exeptions, the Volume of a Prism is computed through base and height multiplication

4. Yes, surface area is the sum of the areas of the sides of a 3-dimensional figure

5. Actually it is the volume of a pyramid that is One-third the volume of a prism, not the other way around

The statements 1,3 and 4 are true.

Surface area is explained as the sum of the areas of all the closed surfaces of a solid. The surface of any area is the region occupied by the surface of an object.

Volume is the amount of space available in an object. It is the space enclosed by a boundary or occupied by an object or the capacity to hold something.

For the given situation,

There are several statements, we need to check which statements are true.

Statement 1: Volume is labeled with cubic units.

Volume is the measure of three dimensional space. So volume should be labeled in cubic units.

Thus, statement 1 is true.

Statement 2: Surface area is labeled with cubic units.

Surface area is the total area of the faces of a three-dimensional shape. Surface area is labelled in square units.

Thus, statement 2 if false.

Statement 3: Volume of a prism is the product of the area of the base and height.

The volume of the prism is defined as the product of the area of the base and the length (height).

Thus, statement 3 is true.

Statement 4: Surface area is the sum of the areas of each side.

The surface area of a three-dimensional object is the total area of all its faces.

Thus, statement 4 is true.

Statement 5: The volume of a prism is One-third the volume of a pyramid.

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The volume of a pyramid is found using the formula  V = (1/3) Bh, where B is the base area and 'h' is the height of the pyramid.

Thus, statement is false.

Hence we can conclude that the statements 1,3 and 4 are true.

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