Ben earns $12. 50 per hour and $6 for each delivery he makes. He wants to earn $168 in an 8-hour workday.



Part A) Which equation could you use to solve for the least number of deliveries he must make to reach his goal?



Part B) What is the least number of deliveries he must make to reach his goal?

Answer:

for each x, the difference in the y value it has an origin at (0,5)

Step-by-step explanation:

if x equals 0, y equals 5.

if x equals 1, y equals 7 and so on

if x equals -1, y equals -5 and so on.

Answer:

I dont know to be honest I dont remember so yeahmmmm ummmmm

Answer:

50

Step-by-step explanation:

100 into 2 parts is 50

To solve the problem, we need to apply the rule:

When two tangents intersect at a point outside the circle, they are congruent

Hence, we can write:

Solving for x:

Answer:

x = 9

The lower bound for a 95% confidence interval for the actual mean finishing time is approximately 89.251 minutes.

SEM = s / sqrt(n) = 18.5 / sqrt(50) ≈ 2.613

where s is the sample standard deviation, n is the sample size, and sqrt represents the square root function.

ME = t * SEM = 2.009 * 2.613 ≈ 5.249

where t is the critical value from the t-distribution.

Lower bound = sample mean - ME = 94.5 - 5.249 ≈ 89.251

Therefore, the lower bound for a 95% confidence interval for the actual mean finishing time is approximately 89.251 minutes.

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A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(σ)= 1.55

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) =\(z_{\alpha /2}\frac{\sigma}{\sqrt n}\)

So n= \((z_{\alpha /2}\frac{\sigma}{ME})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

The given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n = \((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(σ)= 2×1.55

Standard deviation of resistance(σ)= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n= \((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5)^2

n=(15.996)^2

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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There are 9240 ways to select a committee to develop a discrete math course if the committee is to consist of three faculty from the math department and four from the computer science department.

It is given that there are 9 faculty members in the math department and 11 in the computer science department.

\(C^{9} _{3} * C^{11} _{4}\)

\(= \frac{9!}{(9-3)!3!} * \frac{11!}{(11-4)!4!}\\= 28 * 330\\= 9240\)

Therefore, there are 9240 ways to select the committee.

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The man has to pay Rs 9,000 as Ushr for 80 tons of apples

Multiplication is a basic arithmetic operation that involves combining equal groups or adding the same number repeatedly. It is represented using the multiplication symbol × or the asterisk *.

To calculate the Ushr, we first need to convert the weight of the apples from tons to kilograms, since the price is given in rupees per 40 kg:

80 tons = 80,000 kg

Next, we need to find out how many 40-kg units are in 80,000 kg:

80,000 kg / 40 kg = 2,000 units

Therefore, the man sold his apples in 2,000 units of 40 kg each. To find the total revenue frm the sale, we need to multiply the price per unit by the number of units:

2,000 units x Rs 1800/40kg = Rs 90,000

The Ushr is typically calculated as one-tenth of the total revenue, so in this case:

Ushr = 1/10 x Rs 90,000 = Rs 9,000

Therefore, the man has to pay Rs 9,000 as Ushr.

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The volume of the figure is 1, 005. 4 mi³

Note that the figure is a cylinder

The formula for volume of a cylinder is given as;

Volume = πr²h

Where

h = height = 5 mi

r = radius = 8mi

Substitute into the volume

Volume = 3. 142 × 8 × 8 × 5

Volume = 1,005. 4 mi³

Thus, the volume of the figure is 1, 005. 4 mi³

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Katy's house is about 8.1 miles from Camilla's house, measured in a straight line.

we apply the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using the Pythagorean theorem, we have:

H^2 = west distance^2 + north distance^2

H^2 = 4.6^2 + 6.7^2

H^2 = 21.16 + 44.89

He^2 = 66.05

We take the square root of both sides, we get:

hypotenuse = 8.13

We then can say that  Katy's house is about 8.1 miles from Camilla's house, measured in a straight line.

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Answer:

A

Step-by-step explanation:

A triangle has 180 degrees.

So, 10 + 145 + x = 180

x = 25

This means that the angles in the triangle are:

10, 145, and 25

Using this information, only A has the same values so it is the answer

Answer: C

Step-by-step explanation:

Answer:

It is going to be C

Step-by-step explanation:

Because after you complete the problem it will equal the nu,ber selcted on c

Answer:

The value of x is 8.1

Step-by-step explanation:

We can use SOH CAH TOA to find our answer.

In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.

We can calculate the length of the string by using the COS function.

So we can say the tangent of angle \(\beta\) is the opposite side divided by the adjacent side.

\(tan( \beta)=\frac{O}{A}\)

We are given the angle and the opposite side. We are looking for the adjacent side.

Lets solve for \(A\).

Take the reciprocal of both sides.

\(\frac{1}{tan(\beta)} =\frac{A}{O}\)

Multiply both sides by \(O\).

\(\frac{1}{tan(\beta)} *O=A\)

We are given

\(\beta=56\textdegree \\O=12\)

\(\frac{1}{tan(56)} *12=A\)

\(A=8.0941022\)

The equation that represents the question "35% of what number is 35?" is: 35 = 0.35 × w

An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, constants, and mathematical operators such as addition, subtraction, multiplication, and division. Equations are often used to solve problems and find unknown values. They can be written in different forms, such as linear equations, quadratic equations, and exponential equations. For example, the equation "2x + 3 = 7" states that the expression "2x + 3" is equal to the value "7". Solving for "x" in this equation involves rearranging the terms to isolate the variable, which gives the solution "x = 2".

by the question.

35 = 0.35 × w

where "w" represents the unknown number.

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The time taken by an algorithm that performs two steps, the first taking f(n) time and the second taking g(n) time, is the sum of the two individual steps, which is f(n) + g(n).

When an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, the total time the algorithm takes can be found by adding f(n) and g(n).

If an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, then the total time the algorithm takes is the sum of the two individual steps, which is f(n) + g(n).

Therefore, the time taken by the algorithm would be proportional to the sum of the time complexity of the two steps involved.

Let's take a closer look at the options provided:

f(n) + g(n): This is the correct answer. As mentioned earlier, the time taken by an algorithm is proportional to the sum of the time complexity of the two steps. Therefore, the time complexity of this algorithm would be f(n) + g(n).f(n)g(n): This is not the correct answer.

Multiplying the time complexity of the two steps does not provide a meaningful measure of the total time taken by the algorithm. Therefore, this option is incorrect.

f(n²) + g(n²): This is not the correct answer.

Squaring the time complexity of the steps is not meaningful and cannot provide an accurate estimate of the total time taken by the algorithm.

Therefore, this option is incorrect.

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Answer:

b =9

Step-by-step explanation:

4•9=36

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Answer:

b = 9

Step-by-step explanation:

Given: 4b=36

Divide by 4: b= 36/4

Answer: b=9

Answer:

8 cubic units

Step-by-step explanation:

Count it. It's all visible for this question.

If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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Answer:

x=0, -5/3

Step-by-step explanation:

a comparative descriptive design differs from a typical descriptive design in the sense that it describes data from two different groups, whereas a typical descriptive design focuses on a single group.

A comparative descriptive design is utilized to describe objects as well as investigate variances in possible variations normally in the two or more groups in a situation. A comparative descriptive design analyzes description data acquired from distinct groups, which may have been constructed according to gender, age, educational qualification, medical issue, or sickness intensity.

A descriptive design is frequently employed to examine variables in a single sample. This descriptive strategy entails identifying the variables inside phenomena of interest, then measuring and characterizing these variables. The description of the activities can lead to an assessment of the conceptual significance of the data, as well as the formulation of potential correlations or theories that might drive future correlational or quasi-experimental investigations.

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The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

What is function?

For the parent function f(x) and a constant k >0,

then, the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) = 3 . 8(3)ˣ

= 8(3)ˣ⁺¹

= 24 (3)ˣ

Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

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Answer:

7 or 8

Step-by-step explanation:

Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.

Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?

a. 5,730 years old

b. 34,380 years old

c. 40,110 years old

d. 45,840 years old

The value of the expression 200% of of $25,000 is $50,000

From the question, we have the following parameters that can be used in our computation:

200% of $25,000

The above expression is a percentage expression and mathematically, can be expressed as

Value = 200% of $25,000

Express "of" as products

So, we have

Value = 200% of $25,000

Evaluate the products in the expression

So, we have the following

Value = $50,000

Hence, the solution of the expression 200% of of $25,000 is $50,000

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Answer:

£ 1041.23

Step-by-step explanation:

Depreciating rate = 30% = 0.3

Let the original rate (Value of vase before 4 years) be 'x'.

We can find the value of vase before 4 years by using the formula:

Amount after 'n' years = original amount * (1 - depreciating rate)ⁿ

\(x * (1-0.3)^4 = 250\\\\\\~~~~~~ x* (0.7)^4 = 250\\\\~~~~~~ x * 0.2401=250\\\\~~~~~~~~~~~~~~~~~ x = \dfrac{250}{0.2401}\)

                  x = £ 1041.23

Answer:

Jeannette's ticket was less than the original pice by 30%

Step-by-step explanation:

original price = $75

percentage discount = 20% of original price = 20% of $75

discounted price = \(\frac{20}{100} \times\ 75\ =\ 15\)

discounted price = $15

website service fee = 10% of original price

website service fee = \(\frac{10}{100}\times 75 = \$7.5\)

New discounted price = discount price + website service fee

= 15 + 7.5 = $22.5

Next, let us calculate what percentage of the original price that will give the new discount price.

Let the percentage of the original price = x%

x% of 75 = $22.5

\(\frac{x}{100} \times\ 75\ = 22.5\\\\\frac{75x}{100} = 22.5\\\\75x = 2250\\\\x = \frac{2250}{75} \\\\x = 30\)

Therefore, Jeannette's ticket was less than the original pice by 30%

Answer:

the answer is  10

Step-by-step explanation:

Answer: 10

Why? Because 10x5=50 and then 10x2=20 ten can be used for both of them! Hope this helps^^ please give me brainlist if you could but you don’t have too!^^

Mr. Smith can bake 3/5 of the total number of cupcakes he needs in an hour.

Since Mr. Smith can bake 1/5 of the total number of cupcakes he needs in 1/3 hour, we can say that he can bake 3/5 of the total number of cupcakes he needs in an hour, since 1 hour is 3 times as long as 1/3 hour.

To see why this is true, we can think about it in terms of rates.

If Mr. Smith can bake 1/5 of the cupcakes he needs in 1/3 hour, then he can bake (1/5)/(1/3) = 3/5 of the cupcakes he needs in an hour, since dividing by 1/3 is the same as multiplying by 3.

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Answer:

2.2%

Step-by-step explanation:

Use the percent error formula:

% error = | (approx - exact) ÷ approx | x 100

Plug in the approx. and exact values:

| (8.9 - 8.7) ÷ 8.9 | x 100

| (0.2) ÷ 8.9 | x 100

= 2.2

So, the percent error is 2.2%

Answer:1.2%

Step-by-step explanation:

∣experimental−actual∣

​

×100

The formula

∣

8.7

−

8.6

∣

8.6

×

100

8.6

∣8.7−8.6∣

​

×100

Plug in values

∣

0.1

∣

8.6

×

100

8.6

∣0.1∣

​

×100

Subtract

0.1

8.6

×

100

8.6

0.1

​

×100

Take the absolute value

0.0116279

×

100

0.0116279×100

Divide

1.16279

1.16279

Multiply by 100

1.2

%

1.2%