What is the volume of a sphere with the diameter = 10 cm and the height = 200 cm ​

The equation of the line in slope-intercept form that passes through (3, 4) and (4, 9) is: y = 5x - 11.

The equation of a line can be written in point-slope form as y - b = m(x - a), if we know the slope (m) and a point (a, b) on the line. It can be rewritten to the slope-intercept form as y = mx + b.

Given the points on a line:

(3, 4) and (4, 9)

Slope of the line (m) = change in y / change in x = (9 - 4)/(4 - 3)

Slope of the line (m) = 5/1

m = 5

To write the equation of the line, substitute m = 5 and (a, b) = (3, 4) into y - b = m(x - a):

y - 4 = 5(x - 3)

Rewrite in slope-intercept form:

y - 4 = 5x - 15

y = 5x - 15 + 4

y = 5x - 11 [equation of the line]

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Answer:

b=23 degrees

Step-by-step explanation:

a was 66 degrees so b=23 degrees   180-90-66=23

A fraction means a part of something or a number of parts of something. The number on the bottom shows how many parts something has been divided into ½ means 1 part of something that has been divided into 2 parts. We call this a half. If you add two halves together you get one.

Answer: A fraction is a numerical quantity that is not a whole number

Step-by-step explanation:

Answer:

(a) \(\text{Difference}=\text{First}-\text{Sequel}\)

(b) The amount by which the first movie made more than the sequel is $0.8 million.

Step-by-step explanation:

It is provided that:

(a)

The equation representing the amount by which the first movie made more than the sequel is:

\(\text{Difference}=\text{First}-\text{Sequel}\)

(b)

Compute the difference value as follows:

\(\text{Difference}=\text{First}-\text{Sequel}\\=\$1.6-\$0.8\\=\$0.8\)

Thus, the the amount by which the first movie made more than the sequel is $0.8 million.

Answer:

multiplying 4500 by .01. This gave me $45 as in interest. Then I added the payment fee, $40. 40+45 is 85,

Step-by-step explanation:

Answer:

We have, 2x+y=3 .......(1)

xy=1....(2)

In equation (2), we get

y=

x

1

..........(3)

y put in the equation (1)

2x+

x

1

=3

2x

2

+1=3x

2x

2

−3x+1=0

2x

2

−3x−1x+1=0

2x(x−1)−1(x−1)=0

x=1, x=

2

1

We take the value of x=1

x value put in equation (1)

2(1)+y=3

y=3−2

y=1

x=1

x and y value put (x+y)

x−y

=(1+1)

(1−1)

=2

0

=1

Hence, this is the answer

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The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, an equation 2x - y = 4 now if  (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.

when x = 3,

2(3) - y = 4.

6 - y = 4.

- y = 4 - 6.

- y = - 2.

y = 2.

So,  (3, - 2) is not a solution to an equation 2x - y = 4.

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Answer:

2 * 7 * 7 = 98

hope this answer helps you!

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Answer:

Hello! answer: 8

4 + 4 = 8

Hope that helps!

Answer:

3

Step-by-step explanation:

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

x = 44.3°

Step-by-step explanation:

Redrawing the triangle,

To obtain x, we can apply the trigonometric relation :

Sin x = opposite / hypotenus

Opposite side = 6.5

Hypotenus = 9.3

Sin x = 6.5/9.3

x = sin^-1(6.5 / 9.3)

x = 44.34

x = 44.3°

Given:

The length of a rectangular prism is (x + 5), the width is (x - 4), and (x - 7).

To find:

The expression for the volume of the rectangular prism.

Solution:

It is known that the volume of the rectangular prism is given by:

So, the volume of the given rectangular prism is:

Thus, the expression for the volume of the rectangular prism is x^3 - 6x^2 - 27x + 140.

The point (4,6) means it took Ziah 4 minutes to run 6 blocks.

This is because any point is of the form (x,y) where in this case

x = number of minutes

y = number of blocks

Answer:

We can use three solution and they are

(1)completing the square

(2)quadratic formula

(3) factorisation method

The quadratic equation 2x^2 - 4x = -2 has  two values .

   (1)completing the square

   (2)quadratic formula

   (3) factorization method

Given,

           quadratic equation 2x^2 - 4x = -2

                   2x² - 4x + 2 =0

Now solve this equation by factor,

                    2x² - 4x + 2 = 0

                    2x² - ( 2+2)x +2 = 0

                    2x² - 2x -2x + 2 = 0

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

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

                  2x - 2 = 0   or  x - 1 = 0

                   x = 1 or x = 1

So, this equation has 2 value of x.

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Answer:

no

Step-by-step explanation:

1/7 is positive, -5 is negative. Negative is less than positive

Answer:

38.64 km^2

Step-by-step explanation:

The formula for the area of a trapezoid is:

\(\frac{(b_{1}+b_{2})*h}{2}\)

Where b1 and b2 are the bases and h is the height. We are given 2.9 and 10.9 as the bases and 5.6 as the height. We can plug these values into the formula:

\(\frac{(2.9+10.9)*5.6}{2}\)

After entering the expression in the calculator, you get:

38.64 km^2

This is the first option.

Answer:

this question is not complete. need another equation

Step-by-step explanation:

give another equation then I can solve

\( \frac{3}{8} x = \frac{17}{24} - \frac{1}{3} y \\ x = \frac{17}{9} - \frac{8}{9} y\)

Answer:

iit's none if those its actually 14:6

Answer:

all whole numbers greater than or equal to 0

Step-by-step explanation:

Answer:

0 is a rational number, whole number, integer, and a real number.

Step-by-step explanation:

a. The total distance from home to the store and back home covered by Robert is 400 meters (200 x 2).

b. The total distance from home to the library and back home covered by Robert is 600 meters (300 x 2).

c. No. By walking 400 meters to and from store and 600 meters to and from library, Robert has walked 1,000 meters (600 + 400), which is equal to 0.62 miles.

A mile is a unit for measuring distance.  It is equivalent to 1.609 kilometres. A mile is also equal to 1,760 yards.

Data and Calculations:

Distances from home to four difference places are assumed as follows:

To school = 350 meters

To church = 240 meters

To store = 200 meters

To library = 300 meters

Thus, for Robert to walk a mile, he needs to cover 1,609 meters.

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The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

8x² + 16x + 3 = 0

using Quadratic formula

The following steps are involved

\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)

\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)

\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)

\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)

\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)

\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)

\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

\(x = -0.209431\)

or

\(x = -1.79057\)

Therefore, the steps peter could follow will give the result

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

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