Find the y-intercept of the line y=10x+ 7/13

Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Answer:

15x - 6

Step-by-step explanation:

(12x -2) -1 (3x+4)

(12x - 2 + 3x-4

12x-2+3x -4

12x -6 + 3x

15x - 6

The 90% confidence interval obtained from examining 653 customers in one fast food chain's drive-through has a lower bound of 178.2 seconds and an upper bound of 181.6 seconds. This means that based on the sample data collected from the 653 customers, we can be 90% confident that the true average drive-through service time for this fast food chain falls within the range of 178.2 seconds to 181.6 seconds.

In other words, if we were to repeatedly sample 653 customers from the same fast food chain's drive-through and calculate confidence intervals, approximately 90% of those intervals would contain the true average service time of the entire population of customers.

The range between the lower and upper bounds of the confidence interval provides an estimate of the precision or uncertainty associated with our sample mean.

The narrower the interval, the more precise our estimate of the true population mean becomes. In this case, the interval is relatively narrow, indicating a relatively precise estimate of the average drive-through service time for this fast food chain based on the sample data.

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To calculate how much they ate between the two of them, the amounts each ate must be added:

\(\begin{gathered} \sf \frac{3}{8} + \frac{4}{16} = \\ \\ \sf\frac{16 \div 8 \times 3 + 16 \div 16 \times 4}{16} = \\ \\ \sf\frac{6 + 4}{16} = \\ \\ \sf \frac{10}{16} = \red {\boxed{ \sf \frac{ \green5}{ \green8} }}\end{gathered}\)

Therefore, between the two of them they ate five eighths of pizza.

To add heterogeneous fractions, fractions with different denominators, follow these steps:

Merry Christmas and Happy New Year

To calculate how much they ate between the two of them, the amounts each ate must be added:

\(\begin{gathered}\begin{gathered} \bold{ \frac{3}{8} + \frac{4}{16}} \\ \\ \bold{\frac{16 \div 8 \times 3 + 16 \div 16 \times 4}{16}} \\ \\ \bold{\frac{6 + 4}{16}} \\ \\ \bold{ \frac{10}{16} }= {\boxed{ \sf \frac{ \bold5}{ \bold8} }}\end{gathered}\end{gathered} \)

\(\therefore\) Between the two of them they ate five eighths of pizza.

To add heterogeneous fractions, fractions with different denominators, follow these steps:

Find the common denominator, which is the least common multiple of the denominators.

Divide the common denominator by the other denominator and multiply by the numerator.

Write the results obtained above as numerators with the Sign of the sum between them.

Answer:

C.

Step-by-step explanation:

First, we calculate the amount if ammonia in 22 gallons of 16% ammonia solution.

16% * 22 gal = 3.52 gal

The amount of ammonia remains the same after the water evaporates, but the total amount of solution is reduced by the amount of water that evaporates.

amount of ammonia: 3.52 gal

amount of water that remains: 22 - n

desired concentration, 24% = 24/100

Equation:

(3.52)/(22 - n) = 24/100

Answer: C.

The equation used to find the number of gallons of water he should remove is (3.52)/(22 - n) = 24/100. The correct answer is option C.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

First, we calculate the amount of ammonia in 22 gallons of 16% ammonia solution.

16%  x 22 gal  =  3.52 gal

The amount of ammonia remains the same after the water evaporates, but the total amount of solution is reduced by the amount of water that evaporates.

Amount of ammonia: 3.52 gal

Amount of water that remains: 22 - n

Desired concentration, 24% = 24/100

The equation will be written as given below:-

Equation = (3.52)/(22 - n) = 24/100

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The triangle ∆MNO is similar to the triangle ∆M'N'O' hence, N'O' is equal to 4.5 inches and M'O' is equal to 6 inches

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

We solve for N'O' and M'O' with the proportion equation as follows:

NO/N'O' = MN/M'N'

3in/N'O' = 2/3

N'O' = (3 × 3in)2 {cross multiplication}

N'O' = 4.5 in

MO/M'O' = MN/M'N'

4in/M'O' = 2/3

M'O' = (3 × 4in)2 {cross multiplication}

M'O' = 6 in

Therefore, the similar triangles ∆MNO and ∆M'N'O' have the value of N'O' equal to 4.5 inches and M'O' is equal to 6 inches

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Answer:

12

Step-by-step explanation:

 This is a joint variation problem:

              z varies directly as x and y

Interpreting this;

                z ∝ xy

 Therefore;

               z  = kxy

 z = 6, x = 2, y  = 6

   Now find k,

             6  = 2 x 6 x k

              6  = 12k

               k  = \(\frac{1}{2}\)

To find the value of z;

   x  = 3, y  = 8

              z  =  \(\frac{1}{2}\)  x 3 x 8  = 12

The answers to the graph that shows the function y = q* are solved and stated above.

       \($e^{x} =\sum _{k=0}^{\infty }{\frac {x^{k}}{k!}}=1+x+{\frac {x^{2}}{2}}+{\frac {x^{3}}{6}}+{\frac {x^{4}}{24}}+\cdots }\)

Given is a exponential graph as shown in the image.

The coordinates of the point of intersection of the curve with the y-axis is (0, 1).

The function is -

y = qˣ

At x = 1, y = 4. So, we can write -

4 = q

q = 4

y = 4ˣ

y = 4¹⁰

y = 64 x 64 x 64 x 4

y = 1048576

Therefore, the answers to the graph that shows the function y = q* are solved and stated above.

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Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

The force exerted by the water on the toy car is 33 N. The negative sign indicates that the force is in the opposite direction to the motion of the water. Therefore, the force exerted by the water on the toy car is 33 N.

The water leaves the hose at a rate of 3.6-kg per 2.5-s with a speed of 20.5-m/s. This can be calculated as follows:mass flow rate = 3.6 kg / 2.5 s = 1.44 kg/sThe momentum of the water before it hits the toy car can be calculated as follows:momentum before = mass x velocity = 1.44 kg/s x 20.5 m/s = 29.52 kg m/s

The water slows down to 3.1 m/s after hitting the toy car, which means that the change in momentum is as follows:Δmomentum = momentum after - momentum before = 0 - 29.52 kg m/s = -29.52 kg m/s. Because momentum is conserved, the change in momentum of the water must be equal and opposite to the change in momentum of the toy car. Therefore, we can calculate the force exerted by the water on the toy car as follows:Δmomentum = force x timeΔmomentum = mass x Δvelocityforce = Δmomentum / time = (mass x Δvelocity) / timeforce = (3.6 kg x (3.1 m/s - 20.5 m/s)) / 2.5 s = -33 NThe negative sign indicates that the force is in the opposite direction to the motion of the water. Therefore, the force exerted by the water on the toy car is 33 N.

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Because the temperature is greater, the relative humidity of the atmosphere is higher.

Water vapor is also measured by relative humidity (RH), which is stated as a percentage but RELATIVE to the air's temperature. In plenty of other terms, it is a comparison between the quantity of water vapor that is really present in the air and the maximum amount water vapor that is possible for the air at the current temperature.

By deducting the temperature just on wet-bulb thermometer from of the temperature just on dry-bulb thermometers and utilizing a relative humidity chart, one may determine the relative humidity.

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Answer:

72

Step-by-step explanation:

because 60 * 0.05 is 3

3*4=12

60+12=72

The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.

An equation contains one or more terms with variables connected by an equal sign.

We can use substitution or elimination method to solve when there are more than one equation.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's denote,

The amount invested in the 13% fund =  x

The amount invested in the 15% fund = y.

Now,

The total amount invested = $30,000,

i.e

x + y = 30000 _____(1)

The total return after one year = $4,350.

Which can be expressed as,

0.13x + 0.15y = 4350 _____(2)

Use the substitution method.

From (1),

x + y = 30000

y = 30000 - x _____(3)

Substituting y in (2)

0.13x + 0.15(30000 - x) = 4350

Solving for x.

0.13x + 4500 - 0.15x = 4350

-0.02x = -150

x = 7500

And,

y = 30000 - x

y = 30000 - 7500

y = 22500

Thus,

The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.

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The complete question.

A businesswoman wants to invest $30,000 in different funds that produce annual returns of 13% and 15% respectively. How much must she invest in each fund to earn a return of $4,350 after one year?

Answer:

Choice 1: ∠CFG = ∠FCB

Step-by-step explanation:

∠CFG and  ∠FCB are interior alternate angles and equal only if ABCD||EFG

Answer:

53 minutes

Step-by-step explanation:

Answer:

a) -6

b) 9

c) 27

Step-by-step explanation:

\(2( - 3) = - 6 \\ { - 3}^{2} = - 9 \\ 3 {( - 3)}^{2} = 27\)

\(\textbf{a)}\\\\2a=2(-3) = -6\\\\\textbf{b)}\\\\a^2 = (-3)^2 = 9\\\\\textbf{c)}\\\\3a^2 = 3(-3)^2 = 3 \cdot 9 = 27\)

Answer:

it would be like 4 dollars and like 30 cents

Step-by-step explanation:

Answer:

The age of E is 40

Step-by-step explanation:

When E didn't join them, the average age was 30,that is six years ago. But present making 36.

But when E joined, the average age is now 40.

Answer:

E is 56 years old

Step-by-step explanation:

I assume E joined them now.

(A - 6 + B - 6 + C - 6 + D - 6)/4 = 30

(A + B + C + D + E)/5 = 40

(A + B + C + D - 24)/4 = 30

A + B + C + D - 24 = 120

A + B + C + D = 144

(A + B + C + D + E)/5 = 40

A + B + C + D + E = 200

144 + E = 200

E = 56

Answer:

a, b c, or d

Step-by-step explanation:

It has to be one of those answers so you have a 25% chance of getting it right

Answer:

The answer is C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.

Velocity is distance divided by time, that is:

\(v = \frac{d}{t}\)

The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:

\(t = 4 + \frac{27}{60} = 4.45\)

Hence, the velocity is given by:

\(v = \frac{d}{t} = \frac{178}{4.45} = 40\)

The bus traveled at a rate of 40 miles per hour.

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Answer:

\(\sqrt{5}\) + 8

Step-by-step explanation:

To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.

The conjugate of \(\sqrt{5}\) - 8 is \(\sqrt{5}\) + 8 , then

\(\frac{\sqrt{2}(\sqrt{5}+8) }{(\sqrt{5}-8)(\sqrt{5}+8) }\)

Answer

8. b

9.C

10.a

11.a

12. c

13. b

brainliest pls <3

Answer:

If Jorge goes up 25 (positive) and then goes 75 steps south (negative). Then you have to calculate 25-75. This equals -50. We know negative distance is south so he's final position will be 50 steps south.

Step-by-step explanation:

Answer:

m=70°

Step-by-step explanation:

m=180-110

reason - angle on a straight line equals 180

m=70°

there you go

Answer:

Step-by-step explanation:

x = - 48/-8  = 6

c = c^2/c^1 = c^(2-1) = c^1

d = d^4 / d^1 = d^(4 - 1) = d ^3

x = 6

e = 1

f = 3

The standard deviation of quiz scores is 0.

To find the standard deviation:

Therefore, the standard deviation of quiz scores is 0.

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Answer: Option E

Step-by-step explanation: You want to subtract x from both sides and add one from both sides in order to get the variables on one side.

When you do this you get 3x is greater than or equal to 3. Now divide by three on both sides. This becomes x is greater than or equal to 1. You want to find the number line with a closed circle on 1 since to represent the "or equal to" and you want it to go in the direction of left to right to represent the increase since it is "greater than".