What is the length of the radius, r?

Answer:

1,140 words

Step-by-step explanation:

57/3 = 19 words per minute

there are 60 minutes in an hour

19x60 = 1140

If Carol is able to type 57 words in 3 minutes, then in one hours time she will be able to type 1140 words.

Let the number of words typed in 1 hours be represented as y

So that;

57 words are typed in 3 min

We know that 60 minutes makes 1 hour

57 words typed in 0.05 hour

y words typed in 1 hours

We cross multiply

57 words × 1 hour = y × 0.05 hour

y = 57hours / 0.05 hours

y = 1140 words

If Carol is able to type 57 words in 3 minutes, then in one hours time she will be able to type 1140 words.

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Answer:

59

Step-by-step explanation:

The three interior angles in a triangle will always add up to 180°, so:

180-93-28=59

The measure of the third angle is 59 degrees.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given are two angles of a triangle.

First angle = 28 degrees

Second angle = 93 degrees

We know that, the sum of the all the three interior angles of a triangle is 180 degrees.

Let x be the measure of third angle.

x + 28 + 93 = 180

x + 121 = 180

Subtracting 121 from both sides,

x = 180 - 121 = 59 degrees

Hence the third angle is 59 degrees.

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Answer:

225 employees work as instructors.

Step-by-step explanation:

You want to find what 75% OF 300 is, therefore multiplication will be required in this problem. First you want to convert 75% to a decimal which you could do by just bringing the decimal point to the left twice. which will give you the decimal 0.75.

Now multiply. 0.75*300=225. There are 225 employees that work as instructors.

Final answer:

To find out how many employees work as instructors at Bright Mind Learning, multiply 75% by the total number of employees. 225 of the 300 employees at Bright Mind Learning work as instructors.

Explanation:

To find out how many employees work as instructors at Bright Mind Learning, we need to calculate 75% of the total number of employees. First, convert 75% to a decimal by dividing it by 100: 75/100 = 0.75. Then, multiply this decimal by the total number of employees (300): 0.75 * 300 = 225.

So, 225 of the 300 employees at Bright Mind Learning work as instructors.

Answer:

87067=90000

Step-by-step explanation:

because 7 is bigger than 8 so its90000

Answer:

90,000

Step-by-step explanation:

Final answer:

The probability of picking a 1 and then a 12 from a deck of cards numbered 1-12 with replacement is 1/144, since each event is independent and each card has an equal chance of being selected.

Explanation:

The student asked about the probability of selecting a 1 and then a 12 from a deck of cards numbered 1-12, with replacement in between the picks. To find this, we need to consider the events independently, since the card is replaced after the first draw, meaning the probability of the second draw is unaffected by the first.

The formula to calculate the probability of independent events is P(A and B) = P(A) × P(B), where P(A) is the probability of the first event and P(B) is the probability of the second event occurring. Since each card has an equal chance of being picked from the deck, and there are 12 cards in total, the probability of picking any specific card, like a 1 or a 12, is 1/12.

Therefore, the probability of picking a 1 first and then a 12 is P(1 and then 12) = P(1) × P(12), which is equal to (1/12) × (1/12) = 1/144. So, the final probability is 1/144, or about 0.00694.

Answer:

[tex]4(x+3.5)^{2}=0[/tex]

Step-by-step explanation:

we have

[tex]4x^{2}+28x+49=0[/tex]

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex](4x^{2}+28x)=-49[/tex]

step 2

Factor the leading coefficient

[tex]4(x^{2}+7x)=-49[/tex]

step 3

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]4(x^{2}+7x+3.5^2)=-49+(3.5^2)(4)[/tex]

[tex]4(x^{2}+7x+12.25)=0[/tex]

step 4

Rewrite as perfect squares

[tex]4(x+3.5)^{2}=0[/tex]

The equation by completing the square is [tex]\[ (x + \frac{7}{2})^2 = 0 \].[/tex]

To complete the square for the quadratic equation [tex]\(4x^2 + 28x + 49 = 0\)[/tex], we need to follow these steps:

Divide the entire equation by the coefficient of [tex]\(x^2\)[/tex] to make it equal to 1. This gives us:

[tex]\[ x^2 + 7x + \frac{49}{4} = 0 \][/tex]

Next, we need to find the value to complete the square. This is done by taking half of the coefficient of [tex]\(x\)[/tex], which is [tex]\(\frac{7}{2}\)[/tex], and squaring it:

[tex]\[ \left(\frac{7}{2}\right)^2 = \frac{49}{4} \][/tex]

We add and subtract this value to the equation to complete the square:

[tex]\[ x^2 + 7x + \frac{49}{4} - \frac{49}{4} + \frac{49}{4} = 0 \][/tex]

Now, we can rewrite the equation as a perfect square trinomial and a constant:

[tex]\[ (x + \frac{7}{2})^2 - \frac{49}{4} + \frac{49}{4} = 0 \][/tex]

Simplify the equation by combining the constants:

[tex]\[ (x + \frac{7}{2})^2 = 0 \][/tex]

the fraction form of 13.2857142857 is[tex]\( \frac{1195714285713}{90000000000} \).[/tex]

To convert the decimal 13.2857142857 into a fraction, we can follow these steps:

Step 1: Let x = 13.2857142857

Step 2: Multiply x by 10 to move the decimal one place to the right:

x = 13.2857142857

10x = 132.857142857

Step 3: Subtract the original x from 10x to eliminate the decimal:

10x - x = 132.857142857 - 13.2857142857

9x = 119.5714285713

Step 4: Simplify the equation:

9x = 119.5714285713

Step 5: Divide both sides by 9:

[tex]\[x = \frac{119.5714285713}{9}\][/tex]

Step 6: Simplify the fraction:

[tex]\[x = \frac{1195714285713}{90000000000}\][/tex]

Now, the fraction form of 13.2857142857 is[tex]\( \frac{1195714285713}{90000000000} \).[/tex]

To find the scale factor, compare the corresponding dimensions of the two shapes. Divide the dimension of shape A by the corresponding dimension of shape B to calculate the scale factor.

In order to find the scale factor applied to shape B to make shape A, we need to compare the corresponding dimensions of the two shapes. The scale factor is determined by dividing the dimension of shape A by the corresponding dimension of shape B. In this case, we compare the lengths of the shapes, so the scale factor is determined by dividing the length of shape A by the length of shape B.

Let's calculate the scale factor:

Therefore, the scale factor is 2/3 for all dimensions of shape B to make shape A.

Final answer:

The fraction for 45 divided by 20 is written as 45/20, which can be simplified by dividing both the numerator and the denominator by their greatest common divisor, 5. This results in a simplified fraction of 9/4.

Explanation:

To find the fraction for 45 divided by 20, you can write it directly as a fraction, which is 45/20. This fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 45 and 20 is 5. To simplify the fraction, we divide both the numerator and denominator by 5.

Simplified fraction:
45 ÷ 5 = 9
20 ÷ 5 = 4
So, the simplified fraction for 45 divided by 20 is 9/4.

Answer:

1 unit

Step-by-step explanation:

If point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12), then its coordinates are

[tex]x_J=\dfrac{x_F+x_G}{2}=\dfrac{1+5}{2}=3\\ \\y_J=\dfrac{y_F+y_G}{2}=\dfrac{4+12}{2}=8[/tex]

If point K is the midpoint of segment GH with endpoints G(5,12) and H(-1,4), then its coordinates are

[tex]x_K=\dfrac{x_G+x_H}{2}=\dfrac{5+(-1)}{2}=2\\ \\y_K=\dfrac{y_G+y_H}{2}=\dfrac{12+4}{2}=8[/tex]

The measure of JK is

[tex]JK=\sqrt{(3-2)^2+(8-8)^2}=\sqrt{1^2+0^2}=1\ unit[/tex]

Given the coordinates of their endpoints, you find that the points of interest, J and K, have coordinates J(3,8) and K(2,8), respectively. You can then apply the distance formula to find the distance between these two points, resulting in 1.

To find the distance between two points, we can apply the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Given that J is the midpoint of FG, the coordinates of J can be found using the midpoint formula ((x1 + x2) / 2, (y1 + y2) / 2). By applying this formula, we find that J = ((1 + 5) / 2, (4 + 12) / 2) = (3,8).

Similarly, the coordinates of K, as the midpoint of GH, are K = ((5 + (-1)) / 2, (12 + 4) / 2) = (2,8).

Now we can plug the coordinates of J and K into the distance formula to find JK: d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((2 - 3)^2 + (8 - 8)^2) = sqrt((1)^2 + 0) = sqrt(1) = 1.

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Answer

It would be 2 liters

Answer:

1.99 liters is the correct answer

Step-by-step explanation:

The y intercept of a graph containing the two points (3,1) and (7,-2) is [tex]\frac{13}{4}[/tex]

Solution:

Given points are (3, 1) and (7, -2)

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Let us first find the slope of line

The slope of line is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here the points are (3, 1) and (7, -2)

[tex](x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)[/tex]

Substituting in formula, we get

[tex]m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}[/tex]

To find the y intercept:

[tex]\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }[/tex]

[tex]1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}[/tex]

Thus  y -intercept is [tex]\frac{13}{4}[/tex]

Answer:

54

Step-by-step explanation:

34 + 4 ⋅ 5  (by PEDMAS, do multiply first)

=  34 + 20

= 54

Answer:

54 :)

Step-by-step explanation:

The weakest correlation is indicated by a correlation coefficient that is close to 0. This shows that there is little to no predictable relationship between the two variables.

The data set with the weakest correlation will have a correlation coefficient value closest to zero. The correlation coefficient is a measure of the relationship between two variables. Its value ranges from -1 to 1. A value of -1 indicates a perfect negative correlation, a value of 1 indicates a perfect positive correlation, and a value of 0 indicates no correlation. The direction of the correlation is indicated by whether the value is positive or negative, whereas the strength of the correlation is indicated by how close the value is to -1 or 1.

For example, consider two variables, hours of sleep and performance on a test. If the correlation coefficient is close to 1, this suggests that as one variable increases (hours of sleep), the other variable (test performance) also increases. This would be a strong positive correlation. But if the correlation coefficient is close to 0, there is a weak or no correlation, meaning the variables (for example, shoe size and hours of sleep) do not move together in a predictable way.

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Answer:

Step-by-step explanation:

No. Of quarters n(Q)= 3

No. Of dimes n(D) = 5

No. Of nickels n(N) = 2

Total T = 3+5+2 = 10

Prob(D) = n(D)/T = 5/10 = 1/2

Now there are 9 left since it is not replaced back

Prob(Q) = 3/9 = 1/3

Prob(D and Q) = 1/2 × 1/3 = 1/6

The probability you will pick a dime and then a quarter without putting the dime back in your pocket is 1/6

Probability is the likelihood or chance that an event will occur

If you have 3 quarters, 5 dimes, and 2 nickels in your pocket, the total coins you have will be:

Total outcome = 3 + 5 + 2

Total outcome = 10

Probability of picking a dime = 5/10 = 1/2
Probability of picking a quarter = 3/9 = 1/3

Pr( a dime and then a quarter without putting the dime back in your pocket) = 1/2 * 1/3 = 1/6

Hence the probability you will pick a dime and then a quarter without putting the dime back in your pocket is 1/6

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Answer:

Step-by-step explanation:

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.

− sin  ( π 2 )

The exact value of   sin ( π 2 )   is  1 .

-1.1

Multiply  

− 1  by  1 .

−1

SIN (3 PIE/2)

Answer:

21g

Step-by-step explanation:

you multiply the 7 and the 3 together and get 21

The distributed form of -2(x-3)^2 is -2x^2 + 12x - 18.

Step-by-step explanation:

The given question is -2(x-3)^2

step 1 :The formula for (a-b)^2 = a^2 - 2ab + b^2

step 2 :Here, the term (x-3)^2 = x^2 - (2*3x) + 3^2

                                                  = x^2 - 6x + 9

step 3 :The expanded form = -2 (x^2 - 6x + 9)

step 4 : where -2 can be distributed to each term inside the bracket.

Therefore, -2(x^2 - 6x + 9) = -2x^2 + 12x - 18

Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to  [tex]\frac{1}{2}[/tex].

If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?

5n = 3d and n - 2 = 2d - 4

5n = 3d and 2n - 4 = d - 2

3n = 5d and 2n - 4 = d - 2

Answer:

5n = 3d and 2n – 4 = d – 2

Solution:

Let n be the numerator of the fraction and d be the denominator of the fraction.

Given the numerator and denominator of a fraction are in the ratio of 3 to 5.

This can be written as n : d = 3 : 5.

⇒ [tex]\frac{n}{d}= \frac{3}{5}[/tex] – – – – (1)

Do cross multiplication, we get

⇒ 5n = 3d

When the numerator and denominator are decreased by 2, the fraction is equal to [tex]\frac{1}{2}[/tex].

⇒ [tex]\frac{n-2}{d-2}= \frac{1}{2}[/tex]

Do cross multiplication, we get

⇒ 2(n –2)=1(d – 2)

⇒ 2n – 4 = d – 2

Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.

Answer:

5n = 3d and 2n – 4 = d – 2 is the answer

Step-by-step explanation:

Answer:

∠AOC

Step-by-step explanation:

The statement "A to O to C" is talking about each of the points that form an angle. Each point is given a letter as its name.

The symbol ∠ means angle.

You need two lines to form an angle, and you need two points to form a line. By reusing one of the points, you need three points to form an angle. The point that is being reused is always the point in the middle, in this case, that point is called 'O'.

Answer:

c. -51 i know bc i used a math app and it is always right

Step-by-step explanation:

welcome

Answer:

I didn't know if you meant that the circumference of tje hemisphere was 44 or if the circumference of the cirkel in which the hemisphere exists is 44 but you rearrange the numbers.

Step-by-step explanation:

The formula for calculating a circumference is 2×pi×r, with r as tje radius of the cirkel. So in this instance we get 2×pi×r=44. r=44/(2×pi)=7.00 centimeters. The total surface area of a cirkel=pi×r^2=pi×7.00^2=154.06 meters squared. 154.06/2=77.03 meters squared (hemisphere is half of a cirkel)

To find the total surface area of the hemisphere, first find the radius of the hemisphere using the formula for circumference. Then, use the formula for the total surface area of a hemisphere to calculate it.

To find the total surface area of the hemisphere, we need to first find the radius of the hemisphere. Since the circumference of the great circle is given as 44 cm, we can use the formula for circumference to find the radius: C = 2πr. Thus, 44 = 2πr. Solving for r, we have r = 44/(2π) = 7 cm.

The total surface area of a hemisphere is given by the formula A = 3πr^2. Plugging in the value of the radius, we get A = 3π(7^2) = 3π(49) = 147π cm^2.

So, the total surface area of the hemisphere is 147π cm^2.

Answer:

Ali would run 2.8 miles in 24 minutes.

Answer:

x = 127

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720 for x

120 + 100 + 128 + 133 + 112 + x = 720, that is

593 + x = 720 ( subtract 593 from both sides )

x = 127

Answer:

i believe the answer is C

Answer:

C:   $836.08

Step-by-step explanation:

Edg 2020

The Cindy's new rent be if she includes the renters insurance is $836.08

We are given that;

An annual premium = $565.00

Now,

To find Cindy's new rent, we need to add the monthly payment for the renters insurance to her current rent.

To find the monthly payment for the insurance, we need to divide the annual premium by 12, since there are 12 months in a year. We get:

565 / 12 = 47.08

So, the monthly payment for the insurance is $47.08.

Adding this to Cindy's current rent, we get:

789 + 47.08 = 836.08

Therefore, by unitary method the answer will be $836.08.

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Answer:

$41.25

Step-by-step explanation:

part=%(whole)

x=55%(75)

x=0.55(75)

x=41.25

Answer:

11 cm

Step-by-step explanation:

Answer:

is there a picture

Step-by-step explanation: