This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Multi-Step A court reporter types 1.5 words per second.



Part A



Graph the relationship, where x is the time in seconds and y is the number of words typed.

If , a = (-2) and b = 5

Then :-

\( = \frac{8 \times 5 - 6 \times ( - 5)}{13} \)

\( = \frac{40 - ( - 30)}{13} \)

\( = \frac{70}{13} \)

\( = 5.384615\)

\(∴ \: \frac{8 \times 5 - 6 \times ( - 5)}{13} = 5.384615\)

Answer:The answer is no they are slower by 20%

Step-by-step explanation:divide 12 by 5 then divid the answer of 12 by 5 by 2 then you get the answer of 20%

Answer:

The answer is D.

Step-by-step explanation:

Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

Answer:

The equation of the circle with a diameter of 14 and whose center is (-4,6) is  \(x^{2}+y^2+8x-12y+3=0\)

Step-by-step explanation:

Given that diameter is 14. So, the radius is 14/2 which is equal to 7.

Also, the center is (-4,6).

We know that the equation of a circle with center (h,k) and radius r units is

\((x - h)^2+(y-k)^2=r^2 .\)

Here, h=-4, k=6 and r=7.

Putting these values in the above equation,

\((x - (-4))^2+(y-6)^2=7^2 .\)

\((x +4)^2+(y-6)^2=49 .\)

On solving, the equation of the circle is

\(x^2+y^2+8x+-12y+3=0\).

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Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

\( y = 3x - 2 \)

Step-by-step explanation:

The equation of the line that passes through two points

\( (x_1, y_1) \) and \( (x_2, y_2) \) is

\( y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) \)

We have points (2, 4) and (4, 10), so we have

\( x_1 = 2 \)

\( y_1 = 4 \)

\( x_2 = 4 \)

\( y_2 = 10 \)

Now we plug in those values into the equation above, simplify, and solve for y.

\( y - 4 = \dfrac{10 - 4}{4 - 2}(x - 2) \)

\( y - 4 = \dfrac{6}{2}(x - 2) \)

\( y - 4 = 3(x - 2) \)

\( y - 4 = 3x - 6 \)

\( y = 3x - 2 \)

Answer:

so the lines mean absolute value

which is the exact distance from zero that the number is

now

you subtract one from nine which makes it 2x=8

then

you divide nine by 2x which makes it

x=4

So the answer is four

if it helps mark me brainliest please

Answer:

-5,4

Step-by-step explanation:

I know that 2 numbers will work because it's an absolute function.

2x+1=9

2x=8

x=4

2(-5)+1=|-9| = 9

Answer:

Step-by-step explanation:

                                  \(x^{2}\) +4\(x\) + 7

                                 _____________

       x-3          |            \(x^{3} +x^{2} -5x+3\\\)

                      |            \(x^{3} - 3x^{2}\)

                      |           _____________

                      |             0 + 4\(x^{2}\) -5\(x\\\)                    (Subtracting above we get)

                      |                 + 4\(x^{2}\) - 12x

                      |           _____________

                      |                  0       + 7x + 3

                      |                               7x -21

                      |          _______________

                      |                                    +24   Remainder

so x-3 is not a factor

Answer:

Positive

Step-by-step explanation:

the line isn’t in the negative side (going towards the right) so it’s positive

Answer:

675

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(5t - 3) · (3t + 7)

t = 6

Step 2: Evaluate

Answer:

(5t -3)(3t+7) (im multiplying them together, if that's not what the questions asking lmk. but anyway, put them next to eachother and then plug in 6 for t)

(5(6) -3)(3(6)+7) (multiply where possible)

(30 -3)(18+7) (use the distributive property/foil to multiply the two)

540 +210 -54 -21 (add the positive numbers and subtract the negative )

750 - 75 (subtract)

675 (the answer)

Step-by-step explanation:

I hope this helps :)

Answer:

32

Step-by-step explanation:

Totally there are 50 tosses.  

Let the number of tosses which resulted head be x.  

Therefore the number of tosses which resulted tail is 50−x.

We get x×1+(50−x)×(−1)=14

x−(50−x)=14

x−50+x=14

x=32

The equation which represents the relationship between X values and Y values can be found by deriving the equation of line using slope intercept form. The equation of line is 3x - 5y = 25.

How to find equation of line using slope intercept form?

Equation of line using slope intercept form is y = mx + b

where m is slope of the line and b is y-intercept

The slope intercept can be used to form equation of line using two points on the line.

According to the given question:

The two points which lie on the line are (x, y) = (5, -2) and (x', y') = (0, -5)

Slope of the line m = y' - y/x' - x

                               = (-5 +2)/(0 - 5)

                               = 3/5

Now y intercept b = y - mx

                              = -2 - (3/5. 5)

                              = -5

Therefore the required equation of line is y = 3/5x - 5

On simplifying further 3x - 5y = 25

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Answer:

\(\frac{X}{UB} = H\) is the answer.

Step-by-step explanation:

Since we are solving for H, we need to get rid of everything that isn't H.

X = UHB can also be shown as X = UBH

Divide by UB on both sides to equal to H.

\(\frac{X}{UB} = H\)

This is your answer.

#teamtrees #WAP (Water And Plant)

Answer:

Seven dozen eggs would equal a total of 84 eggs

Step-by-step explanation:

Answer:

84 eggs

Step-by-step explanation:

1 dozen of eggs = 12 eggs

Then :

1 dozen -------- 12 eggs

7 dozen -------   x eggs

x = (7 x 12) / 1 = 84 eggs

Answer:

x = 10/243

Step-by-step explanation:

3^5x = 10

243x = 10

Divide 243 on both sides

10/243

Using the interpretation of the confidence interval, it is found that:

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

Considering the mean and the standard error, the bounds of the interval are:

Hence:

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Answer:

Convert 7 1/8 to an improper fraction.

Simplify 7 * 8 to 56

-56 + 1/8 - (-9 1/2)

Simplify 56 + 1 to 57

-57/8 - (-9 1/2)

Convert 9 1/2 to an improper fraction.

-57/8 - (-9 * 2 + 1/2)

Simplify 9 * 2 to 18

-57/8 - (-18 + 1/2)

Simplify 18 + 1 to 19

-57/8 - (-19/2)

Simplify brackets

-57/8 + 19/2

Find the LCD

LCD = 8

Make the denominators the same as the LCD

-57/8 + 19 * 4/2*4

Simplify. Denominators are now the same

-57/8 + 76/8

Join the denominators

-57 + 76/8

Simplify

19/8

Convert to a mixed fraction.

2 3/8

Your answer is D.

Step-by-step explanation:

Answer:

wednesday i think idk (sorry if wrong)

Step-by-step explanation:

The probability that the student chosen at random is not a male that had a A grade is  0.85.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability = (number of students - males who had a A grade) / total number of students

(59 - 9) / 59 = 50 / 59  = 0.85

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Answer:

On a plane

Step-by-step explanation:

Answer:

A plane

Step-by-step explanation:

Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

The proof that z lies on the x-axis is shown below

For z to lie on the x-axis, then the coordinate must be represented as (x, 0)

Given that

\(\frac{|z - 5i|}{|z + 5i|} = 1\)

We start by simplifying the given expression using the definition of the modulus of a complex number:

So, we have

\(\frac{|z - 5i|}{|z + 5i|} = \frac{\sqrt{(x - 0)^2 + (y - 5)^2}}{\sqrt{(x - 0)^2 + (y + 5)^2}} = 1\)

Where

z = x + yi or z = (x, y)

Squaring both sides of the equation above, we obtain:

\(\frac{(x - 0)^2 + (y - 5)^2}{(x - 0)^2 + (y + 5)^2} = 1\)

This gives

\(\frac{x^2 + (y - 5)^2}{x^2 + (y + 5)^2} = 1\)

By comparison, we have

\((y + 5)^2 = (y - 5)^2\)

Set y = 0 to test the equation

So, we have

\((0 + 5)^2 = (0 - 5)^2\)

25 = 25 --- true

The equation is true for y = 0

This means that

z = (x, 0)

Hence, z lies on the x-axis

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Multiplying 8 by 2 equals 16 , so multiply the top number (5) by 2:

5 x 2 = 10

5/8 = 10/16

The answer is 10

Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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Answer: here’s the answer!

Step-by-step explanation: hope this helps!

Answer:

x=10

Step-by-step explanation:

3(x-2)+4=28

3x-6+4=28

3x-2=28

3x=30

x=10