2. Write the expression as an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7

Answer:

\(5\sqrt{7} \)

Step-by-step explanation:

\(\frac{30\sqrt{14} }{6\sqrt{2} } \)

Cancel out 6 in both numerator and denominator.

\(\frac{5\sqrt{14} }{\sqrt{2} } \) Rationalize the denominator of \(\frac{5\sqrt{14} }{\sqrt{2} } \) by multiplying the numerator and denominator by \(\sqrt{2} \).

\(\frac{5\sqrt{14}\sqrt{2} }{(\sqrt{2})^{2} } \)

The square of  \(\sqrt{2} \) is 2

Factor 14=2 × 7. Rewrite the square root of the product \(\sqrt{2x7} \) as the product of square roots \(\sqrt{2}\sqrt{7} \).

\(\frac{5\sqrt{2}\sqrt{7}\sqrt{2} }{2} \)

Multiply \(\sqrt{2} \) and \(\sqrt{2} \) to get 2.

\(\frac{5x2\sqrt{7} }{2} \)

Cancel out 2 and 2.

\(5\sqrt{7} \)

Hope it helps and have a great day! =D

Answer:

they need brainliest :)

The amount of discount on the jacket is Birr 144.

We can use the following formula :

Discount amount = Original price - Discounted price

We must determine the original pricing of the jacket given that it has a discounted price of Birr 576 and the discount is 20%.

Assume "x" stands in for the original price.

The information provided indicates that the discounted price is 80% (100% - 20%) of the original cost:

Discounted price = 80% of the original price

576 = 0.8x

To find the original price, we can divide both sides of the equation by 0.8:

x = 576 / 0.8

x = 720

Now that we have the original price, we can calculate the amount of discount:

Discount amount = Original price - Discounted price

Discount amount = 720 - 576

Discount amount = Birr 144

Therefore, the amount of discount on the jacket is Birr 144.

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The sum of interior Angles of Hexagon is always 720°

Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:

720°÷6 = 120°

In a regular hexagon, each inside angle is 120°.

An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.

Therefore, the interior angles of a hexagon are always added up to 720°.

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Answer:

x<-72

The student divided by 6 instead of multiplying by 6

Step-by-step explanation:

Correct:

x÷6<-12

multiply each side by 6

x<-72

What the student did:

x÷6<-12

divide by 6

x÷6<-2

The student divided by 6 instead of multiplying.

By definition, the distance between two points is always positive, so the correct option is D.

Let's say that our plane has rectangular coordinates, so it would be something like a xy-plane.

Each point has 2 coordinates, so we can write:

A = (x₁, y₁)

B = (x₂, y₂)

The distance between the points is given by:

\(D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

As you can see, the distance is defined as positive (indifferent of the coordinates of the points).

So the correct option is D, the distance is always positive.

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Answer:

Cylinder

Step-by-step explanation:

V cylinder= πr²h= 3.14*2.1²*6= 83.0844 cm²

V prism= bh= 1/2*4*3.5*10= 70 cm²

Cylinder holds more as it has greater volume

Answer:

20%

Step-by-step explanation:

A correlation is a statistical measure of the relationship between two variables.It is a numerical representation of how closely two variables are related. Examples of correlated pairs of variables include:

1. Hours spent studying and grades on tests (higher hours spent studying is correlated with higher grades)

2. Age and life expectancy (older age is correlated with shorter life expectancy)

3. Income level and education level (higher income levels are correlated with higher levels of education)

A correlation is a statistical measure that describes the relationship between two variables. It is calculated by comparing the individual values of each variable and determining how closely these values are related. This can be represented numerically, with a value between -1 and 1. As one variable rises, the other falls; a correlation of -1 shows a perfect negative correlation; a correlation of 0 indicates no link; and a correlation of 1 indicatesexcellent alignment with the positive (as one variable increases, the other increases).Examples of correlated pairs of variables include hours spent studying and grades on tests, age and life expectancy, and income level and education level

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Answer: Option d.  0.26

Step-by-step explanation:

Since the addition of complementary angles = 90°

75° + x = 90°

x = 90° - 75 °

x = 15°  ( the complementary angle )

sine 15° = 0.25882

             = 0.26 correct to two decimal places

The volume of a cone can be calculated by

where

Substituting into the formula, we have

Solving, we have

Therefore, the volume of the cone to the nearest hundredth is 130.83 cubic units

Answer:

68.8 yards

Step-by-step explanation:

We can do justice to this question using proportion,

Proportion in mathematics means that two ratios are equal it can be expressed as w/x = y/z

Let us denote the field on map as Z

Then we can say

5 inches on the map/ 2 yards in the park = 175inches/ X yards

If we cross multiply

5(Z )= 172 × 2

5(Z ) = 344

Make Z subject of the formula

Z= 344/5

Z= 68.8 yards

Hence the the actual park is 68.8 yards

Answer:

39.2.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

- Hope this helped you.

Answer:

39.2

Explanation:

To solve this problem, we must first convert the forty percent into a decimal

⟹ 40% = 0.40

Next, multiply forty percent (as a decimal) by ninety eight

⟹ 0.40 × 98 = ?

⟹ 0.40 × 98 = 39.2

Therefore, forty percent of ninety eight is 39.2.

Lets solve

\(\\ \bull\sf\dashrightarrow x+4=9\)

\(\\ \bull\sf\dashrightarrow x=9-4\)

\(\\ \bull\sf\dashrightarrow x=5\)

Step-by-step explanation:

x + 4 = 9

x = 9 - 4

x = 5

is it true?

Answer:

137

Step-by-step explanation:

The sum of all three angles; <ABC, <ABD, and <CBD is equal to 360

now we know <ABC = 118 and

the measure of central angle <CBD is equal to measure of the arc it sees so it's = 105

we are asked to find the  m<ABD

118 + 105 + <ABD = 360 add like terms

223 + <ABD = 360 subtract 223 from both sides

m<ABD = 137

Answer:

Ans 1 :-6

And 2:- y=x²

And 3 :- ×= -2

Answer:

Center: (5,8), Radius: \(\sqrt{10}\)

Step-by-step explanation:

The explanation is attached below.

Answer:

To find the center and the radius of a circle that has a diameter with endpoints at (2, 7) and (8, 9), we can use the following steps:

1. Find the midpoint of the diameter using the formula: M = ((x1 + x2) / 2, (y1 + y2) / 2). This will give us the coordinates of the center of the circle. Plugging in the given endpoints, we get: M = ((2 + 8) / 2, (7 + 9) / 2) = (5, 8).

2. Find the length of the diameter using the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2). This will give us the diameter of the circle. Plugging in the given endpoints, we get: d = sqrt((8 - 2)^2 + (9 - 7)^2) = sqrt(36 + 4) = sqrt(40).

3. Find the radius of the circle by dividing the diameter by 2: r = d / 2. This will give us the radius of the circle. Plugging in the value of d, we get: r = sqrt(40) / 2 = sqrt(10).

4. Write the equation of the circle using the standard form: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Plugging in the values of M and r, we get: (x - 5)^2 + (y - 8)^2 = 10.

Therefore, the center of the circle is (5, 8) and the radius is sqrt(10).

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The Laplace transform to the initial-value problem is y(t) = (1/3) * e^(-3t).

To solve the given initial-value problem using Laplace transform, we'll apply the Laplace transform to both sides of the differential equation.

The Laplace transform of y' is denoted as ℒ{y'}.

Using the property of the Laplace transform, ℒ{y'} = sℒ{y} - y(0), where s is the Laplace variable and y(0) is the initial condition.

Applying the Laplace transform to the differential equation, we have:

ℒ{3y} = ℒ{e^(-3t)}

Using the linearity property of the Laplace transform and the table of Laplace transforms, we can find the transforms of each term:

3ℒ{y} = ℒ{e^(-3t)}

3ℒ{y} = 1/(s+3)

Now, we can solve for ℒ{y} by dividing both sides by 3:

ℒ{y} = 1/(3(s+3))

Therefore, the Laplace transform of y is ℒ{y} = 1/(3(s+3)).

To find the actual solution, we need to inverse Laplace transform the expression

ℒ{y} = 1/(3(s+3)).

Applying the inverse Laplace transform, we obtain the solution:

y(t) = (1/3) * e^(-3t)

Therefore, the actual answer to the initial-value problem is y(t) = (1/3) * e^(-3t).

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Answer:

Step-by-step explanation:

\(9*8=72\\0.5*6*8=24\\10*9=90\\72+24+90=186 m^{2}\)

Answer: points for us answerers then. Just close the tab if you don't want to be on this website.

Given,

d = 2t

here, t = 25

Therefore,

d = 2*25

= 50m

Answer:

i got 6/25, or 24%

Step-by-step explanation:

P(green) = 60/250 or 6/25

Answer:

22

Step-by-step explanation:

A= 1/2 bh

A= 1/2 4x5 1/2

A= 2x 5 1/2

11x2=22

Answer:

Step-by-step explanation:

Given

Area is:

Correct choice is A

Answer:

AB = Secant

DB = Diameter

AB = Chord

OB = Radius

BC = Tangent

Step-by-step explanation:

The image provided below is a great reference!

Note: The answers are put in order.

The distance between friend's house and home is 14.263 miles.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.

What is tan?

the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Given,

The distance he covered to west (base) = 17 miles

angle = 24°

tan 24°= perpendicular/base

tan 24° = perpendicular/17

p = 0.836/17

=14.263 miles.

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The approximate area of the window that is not cleaned by the wiper is:

240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.

What is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.

To solve this problem, we need to find the area of the trapezoid and subtract the area of the semicircle.

The area of a trapezoid is given by the formula:

A = (a + b)h/2

where a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between the parallel sides).

In this case, we have:

a = 24 inches (the top parallel side)

b = 16 inches (the bottom parallel side)

h = 12 inches (the height)

Using the formula, we get:

A = (24 + 16) x 12/2

A = 240 square inches

The area of a semicircle is given by the formula:

A = πr²/2

where r is the radius of the circle.

In this case, the radius is half of the length of the wiper, so we have:

r = 16/2 = 8 inches

Using the formula, we get:

A = π(8²)/2

A ≈ 100.5 square inches

Therefore, the approximate area of the window that is not cleaned by the wiper is:

240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.

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The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.

The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.

The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.

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Answer:

Step-by-step explanation:

Answer:

Another way to calculate the correlation coefficient (r) is to multiply the slope of the regression line by the standard deviation of X and then divide by the standard deviation of Y.