Find the slope of the line through the given points.
(-3, 9), (0, 3)

Answer:

Step-by-step explanation:

V sphere = (4/3) π r³    r = 4.7 inches

               = (4/3) π 4.7³            use calculator now

               = 435 in³

Answer:

D

Step-by-step explanation:

it would be d because that's where the 3 is in the y axis

Answer:

A

Step-by-step explanation:

Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.

Answer:

If zero is added to any number, then the answer will always be equal to the initial number.

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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Answer:

Yes, Yes, No, Yes.

Step-by-step explanation:

2/5 as a decimal = 0.4

4 ÷ 0.4 = 10

1 is correct.

2 x 10 = 20

2 is correct.

6 x 10 = 60

3 is incorrect.

10 ÷ 2 = 5

4 is correct.

Hello!

miles driven = x

the initial cost = 29

f(x) = 29 + 0.35x

Answer:

0.0475 = 4.75%

Step-by-step explanation:

Answer:

4.75%

Step-by-step explanation:

Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.

The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.

\(\frac{0.0475}{1}\)=\(\frac{x}{100}\)

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is:  4.75%

Answer:

\(p(4) = 5360\)

Step-by-step explanation:

Given

\(p(c) = 1200c + 2(280)\)

Required

Interpret p(4)

This implies that c = 4

Substitute 4 for c in \(p(c) = 1200c + 2(280)\)

\(p(4) = 1200 * 4 + 2(280)\)

\(p(4) = 1200 * 2 * 280\)

\(p(4) = 1200 * 4 + 560\)

\(p(4) = 4800+ 560\)

\(p(4) = 5360\)

There are no option attached to this question.

I'll assume c represents cost and p(c) represents the profit.

Base on this assumption, a suitable statement is:

When cost is 4, the profit is 5360.

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

Step-by-step explanation:

3/4 : 1/8 =

3/4 x 8 =

24/4 =

6

Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

Answer: The cumulative frequency of club members who exercise publicly for six or fewer times per week = 38

Step-by-step explanation:

The given results of the survey:

0 visits per week: 13

1-3 visits per week: 17

4-6 visits per week: 8

7 or more visits per week: 17

The  cumulative frequency of club members who exercise publicly for six or fewer times per week = Frequency for 0 visits + Frequency for 1-3 visits per week + Frequency for 4-6 visits per week

= 13+17+8

=38

Hence, the cumulative frequency of club members who exercise publicly for six or fewer times per week = 38

Answer:

Step-by-step explanation:

If it is a rectangle all the angles between the sides will be 90 degrees. In other words all lines are perpendicular to their joining line.

To find if that is true we can work out the slope of one line (m) and if the line joining it has slope -1/m then they are perpendicular.

So Find the Slope of line segment AB:

m = (3 - 1)/ (3 - -3) = 2/6 = 1/3.

Now BC:

m = (0 - 3)/(4-1) = -3.

If m = 1/3 the -1/m = -1 / 1/3 = -3

- therefor BC is perpendicular to AB.

We can apply the same test to the other  pairs of points  so as to prove this is a rectangle.

As the value of a decreases the graph will expand.

In mathematics, a polynomial of degree two in one or more variables is referred to as a quadratic polynomial. The polynomial function that a quadratic polynomial defines is known as a quadratic function.

Given that consider the quadratic function y = ax². When the function is plotted on the for the value of an increases the graph contracts and if the value a decreases the graph expands.

The graph is attached with the answer below. In the graph, the quadratic function is shown at the two values of a.

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Answer:

what is this

you are asking or telling dear

Answer:

I might be able to help you out.

Answer:

1/2 is the same number as 0.5, so (1/2)% is the same as 0.5%. “Percent” means “per 100”, so 50% = 50/100 = 1/2. (1/2)% = (1/2)/100 = 1/200. In other words, 50% is the same as 1/2, but is not the same as (1/2)%.

Step-by-step explanation:

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Highest Common factor of 12, 16 and 48 is 4

Answer:

highest common factor of 12, 16 and 48 is 4.

Bernie drove 1.125 times as fast as Janelle.

To determine who drove faster, we can calculate the average speed (in km/h) of each driver using the formula:

average speed = distance / time

For Janelle:

average speed = 60 km / (5/6 hours) = (60 km) x (6/5 hours) = 72 km/h

For Bernie:

average speed = 54 km / (2/3 hours) = (54 km) x (3/2 hours) = 81 km/h

Therefore, Bernie drove faster than Janelle. To determine how many times as fast, we can divide Bernie's average speed by Janelle's average speed:

81 km/h / 72 km/h = 1.125

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The order from smallest to largest is 0.079 inches, 0.7 inches, 0.7091 inches, 0.762 inches.

What is a sequence?

A Sequence is a set of things (usually numbers) that are in order. Each number in the sequence is called a term (or sometimes "element" or "member"), read Sequences and Series for a more in-depth discussion.

To arrange the given numbers in order from smallest to largest, we can simply compare them to each other and order them accordingly:

0.079 inches < 0.7 inches < 0.7091 inches < 0.762 inches

Therefore, the order from smallest to largest is 0.079 inches, 0.7 inches, 0.7091 inches, 0.762 inches.

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Answer:

given,

AB= 17

AC= 8

angle BCA =90°

as it is a Right angled triangle ,

taking reference angle BAC

we get,h=AB=17

b=AC=8

p=BC=?

now by the Pythagoras theorem we get,

p=

\( \sqrt{h { }^{2} - b {}^{2} } \)

so,p=

\( \sqrt{17 {}^{2} - 8 {}^{2} } \)

\( = \sqrt{225} \)

=15 is the answer....

hope its wht u r searching for....

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Answer:

Step-by-step explanation:

24²=24×24

Which is 576

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Therefore, we have shown that if five points are picked in the interior of a square with a side length of 2, then at least two of these points are no farther than √2 apart.

What is a square?

A quadrilateral with four equal edges is called a square. There are numerous items in our environment that have a square form. Equal sides and interior angles that are both 90 degrees distinguish each square form.

Let us divide the square into four congruent squares, each with side length 1, by drawing two lines perpendicular to each other that pass through the center of the square.

Since there are five points in the interior of the original square, there must be at least two points in one of these smaller squares by the Pigeonhole Principle.

The diagonal of this smaller square has length √2, which means that any two points in this square are no farther than √2 apart.

Therefore, the two points we selected from the interior of the original square must be no farther than √2 apart.

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