Max worked 13 hours last week at the grocery store and earned 94.25. If he only worked 5 hours this week, how much money did he earn?

Answer:

She was initially at a depth of 24.7 feet before she rose

Step-by-step explanation:

To get her initial depth, we need to understand how many feet she sank and rose.

Let us say she was initially at a depth which we can call  = x feet.

After 10 minutes she rose for 24.2 feet.

This means her new depth will be x - 24.2 ft.

We are also told that this new depth is actually 0.5 feet below sea level.

This means

x - 24.2 = 0.5

Now that we have this equation we can simply make x the subject of the formula and solve for x

x = 24.2 + 0.5 = 24.7

She was initially at a depth of 24.7 feet before she rose

Answer:

24.7

Step-by-step explanation:

Add 24.2 and 0.5

The simplified expression to represent the number of members this year is 1.15m

An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information, the membership in the volunteers Club increased by 15% from last year. If the number of members last year was m.

The number of members will be:

= Old members+ Increase in members

= m + (15% × m)

= m + 0.15m

= 1.15m

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The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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The equation of the line that passes through the points (−8, −10) and (6, 3)in slope-intercept form is y = (13/14) x - 18/7.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula:

y = mx + b

where m is the slope of the line

b is the y- intercept

Given the two points, (−8, −10) and (6, 3), get the slope of the line using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - -10) / (6 - -8)

m = 13 / 14

Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.

y = mx+ b

-10 = (13/14)(-8) + b

b = -18/7

Substitute the value of the slope and y-intercept in the slope-intercept form.

y = mx + b

y = (13/14) x - 18/7

Hence, the equation of the line in slope-intercept form is y = (13/14) x - 18/7.

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Answer: it should be d pretty sure

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Perimeter of the rectangle: 3+7+3+7=20

Square perimeter is same as rectangle, so square perimeter is also 20.

Side length is 20/4, which is 5

The speed of boat is 5/6 meter per second and height of boat is 50\(\sqrt{3}\) meter.

An angle is a shape created by two rays or lines that meet at the same terminal. The Latin word "angulus" (which means "corner") is where the term "angle" first appeared. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign "" is used to denote angles. The Greek letter,,, etc. can be used to represent the angle between the two beams.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

After solving the figure:

The speed of boat is 5/6 meter per second and height of boat is 50\(\sqrt{3}\) meter.

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The speed of the boat from point C to point B is approximately 10.82 meters per second.

What is speed ?

Speed is a measure of how fast an object is moving. It is the rate at which an object covers distance.

We can use trigonometry to solve for h and the speed of the boat. Let's start with h:

From the right triangle CLB, we have:

tan 30° = h / CB

where CB is the distance between points C and B, which is given as 50 meters. Solving for h, we get:

h = CB * tan 30° = 50 * tan 30° ≈ 28.87 meters

So the height of the lighthouse is approximately 28.87 meters.

Now let's find the speed of the boat. We know that the boat travels from point C to point B in 1 minute, which is equivalent to 60 seconds. Let's define the speed of the boat as v, in meters per second. Then we have:

v = CB / t

where t is the time it takes for the boat to travel from point C to point B. We can find t using the distance formula:

\(CB = \sqrt{(x_B - x_C)^2 + (y_B - y_C)^2\)

where x and y are the coordinates of each point. From the diagram, we can see that:

\(x_C = 0\)

\(y_C = 0\)

\(x_B = BL * cos \theta\)

\(y_B = BL * sin \theta\)

where BL is the distance from point B to the foot of the lighthouse, which is equal to h / tan θ. Therefore:

CB \(= \sqrt{((BL * cos \theta)^2 + (BL * sin \theta)^2)\)

     \(= \sqrt{(BL^2 * (cos^2 \theta + sin^2 \theta))\)

     \(= BL = h / tan \theta\)

Substituting the values we have found, we get:

v = CB / t = (h / tan θ) / 60 ≈ 10.82 meters per second

Therefore, the speed of the boat from point C to point B is approximately 10.82 meters per second.

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The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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We can conclude that there is not enough evidence to suggest that the variance of the sodium content differs between the two brands.

The problem provides measurements of the sodium content in samples of two brands of chocolate bar. To find if there is a difference in variance between the two brands, we can conduct a two-sample F-test for equality of variances at a 0.05 significance level.

The following is the null and alternative hypotheses for the test:

H0: The variances of sodium content in brand A and brand B are equal.

H1: The variances of sodium content in brand A and brand B are different.

If the test statistic is greater than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Using the data given, we find the sample variances for both brand A and B:

Variance of Brand A, s2A = 9.84

Variance of Brand B, s2B = 8.45

We calculate the F-statistic:

F = s2A / s2B = 1.16

The degrees of freedom for both brand A and B are dfA = 8 and dfB = 12 respectively.

We then find the critical values of F from an F-distribution table for dfA = 8 and dfB = 12, and at a 0.05 significance level. The critical values are 0.240 and 3.053 respectively.

Since our test statistic F = 1.16 is less than the critical value 3.053, we fail to reject the null hypothesis.

Therefore, we can conclude that there is not enough evidence to suggest that the variance of the sodium content differs between the two brands.

Thus, the chocolate bars of both brands can be assumed to have the same variance for sodium content.

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Answer:

is a rate

Step-by-step explanation:

A rate is a ratio that compares two quantities measured in different units.

Answer:

f(v)=−4v+9

Step-by-step explanation:

because khan academy says so

This is a way of representing a variable as a function of other variables in an equation. The output value "u" that satisfies the equation is u = -4(v - 1) + 5

This is a way of representing a variable as a function of other variables in an equation.

Given the equation expressed as:

u-5=-4(v-1)

Make "u"  the subject of the formula

u-5=-4(v-1)

Add 5 to both sides
u = -4(v - 1) + 5

Hence the output value "u" that satisfies the equation is u = -4(v - 1) + 5

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Answer:

Your answer is D

Step-by-step explanation:

45 divided by 5 equals 9

Answer:

easy 45 dived by 9 is 5

Step-by-step explanation:

hope it helps

0<=x<=90 is the correct answer.The domain of the function V(x) = 0.1x, representing the Volume of water in the bucket after x seconds, is  0<=x<=90

The volume of water in the bucket after x seconds can be represented by the function V(x) = 0.1x, where x is the number of seconds.

To determine the domain of this function, we need to consider any restrictions on the independent variable x. In this case, the domain represents the possible values of x that make sense in the given context.

The rate at which Lourdes is filling the bucket is 0.1 gal/s. This implies that she can fill the bucket at a constant rate for any positive number of seconds. However, it is not meaningful to consider negative values for x, as we are interested in measuring time in seconds from the moment she starts filling the bucket

Therefore, the domain of the function representing the volume of water in the bucket after x seconds is x ≥ 0, which means x can take any non-negative value or zero.

The domain of the function V(x) = 0.1x, representing the volume of water in the bucket after x seconds, is x ≥ 0.

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In a case whereby a skin-care company had 1,500 people try a new acne cream. Nine people had a mild allergic reaction. the percent of the people that  had a mild allergic reaction is 0.6%.

A percentage, which is denoted by the number 100, is a ratio, fraction, or piece of a whole. The Roman phrase per centum, which meaning "by the hundred" or "per one hundred," is where the term "percent" originates.

Total number of people in the skin-care company = 1,500

people that had a mild allergic reaction = 9

The percent with mild allergic reaction = 9/1500*100%

=0.6%

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The probability of the spinner stopping on a blue section on the first spin and then a red section on the second spin is 3/49.

To find the probability of the spinner stopping on a blue section on the first spin and then a red section on the second spin, we need to multiply the probabilities of each event happening independently.

Step 1: Find the probability of landing on a blue section on the first spin.

There is 1 blue section out of 7 total sections, so the probability is 1/7.

Step 2: Find the probability of landing on a red section on the second spin.

There are 3 red sections out of 7 total sections, so the probability is 3/7.

Step 3: Multiply the probabilities from step 1 and step 2.

(1/7) * (3/7) = 3/49.

So, the probability of the spinner stopping on a blue section on the first spin and then a red section on the second spin is 3/49.

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The gravitational potential energy of the vacationers will decrease as they approach the end of the pier.

As the vacationers approach the end of the pier, their gravitational potential energy will decrease.

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the height of the object and the acceleration due to gravity.

In this scenario, as the vacationers walk out on the horizontal pier, their height above the ground remains constant. Since the height does not change, the gravitational potential energy also remains constant.

However, as they approach the end of the pier, their distance from the center of the Earth decreases. As a result, the gravitational potential energy decreases because it is directly proportional to the distance from the center of the Earth.

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Answer:

24 because it's the answer I guess

Step-by-step explanation:

6x4 =24

Answer: 0.98630136986

Step-by-step explanation:

There are 365 possible birthdays. The key to assigning the probability is to think in terms of complements: “Two (or more) people share a birthday” is the complement of “All people in the group have different birthdays.” Each probability is 1 minus the other. What is the probability that any two people have different birthdays? The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday. If you have a group of five, it would mean your equation would have to be (p=360÷365)

Answer:

729

Step-by-step explanation:

M has to be 2 and n has to be 3, because 2^3 = 8

if it was 3^2 it would be 9

2^3 = 8

3^(2*3) = 3^6 = 729

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

S=105 T=60 and R=15

Step-by-step explanation:

Full explanation in comments, but I added an actual answer for the points ;P

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Answer:

Q13/ slope = 2

Q14/ slope = 8

Step-by-step explanation:

Q13/

\(slope = \frac{y2 - y1}{x2 - x1} \\ \\ = \frac{ - 5 - 5}{ - 3 - 2} = \frac{ - 10}{ - 5} \\ \\ = \frac{10}{5} = 2\)

Q14/

\(slope = \frac{y2 - y1}{x2 - x1} \\ \\ = \frac{ - 8 - 8}{7 - 9} = \frac{ - 16}{ - 2} \\ \\ = \frac{16}{2} = 8\)

I hope I helped you^_^

Answer:

a) y=0.50x+15  

b) The graph of this equation form on a coordinate plane is a line.

c) Slope  =0.50 and y-intercept = 15

Step-by-step explanation:

Let x = Number of miles driven by car

Given: The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.

a) Total cost = 0.50x+15

If y =total cost of renting the car, then y=0.50x+15   (i)

b) Above equation is similar to y= mx+c  (ii) [m = slope , xc=y-intercept] which a linear equation .

So the graph of this equation form on a coordinate plane is a line.

c) Comparing (i) and (ii)

m=0.50 , c=15

Hope this helps :)

The value of the quotient when 30.94 is divided by 0.7 will be 44.2

Dividing two numbers involves obtaining the number of times the denominator value can be obtained from the numerator.

Here, the numerator is 30.94 and the denominator is 0.7

To make things easier, we can convert the values to whole numbers by multiplying the values by 100

30.94 × 100 = 3094

0.7 × 100 = 70

Hence, Using a calculator ;

3094 / 70 = 44.2

The quotient value would be 44.2

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The number of possible sets of heads and tails that have 2 heads is 11.

Given,

There is one coin and it is flipped five times.

First, we have to list out the outcome when we toss the coin five times.

(HHHHH), (HHHHT), (HHHTT), (HHTTT), (HTTTT), (TTTTT), (TTTTH), (TTTHH), (TTHHH), (THHHH), (THTHT), (HTHTH), (THHTT), (THHHT), (HTTTH), (HTTHH), (HTHHH), (THTTT), (TTHTH), (TTTHT), (TTHHT), (HHTHH), (TTHTT), (HHTTH), (HHTHT), (HTHTT), (THTHH), (THTTH), (HTHHT), (HHHTH)

Now, we can list out the possible sets with 2 heads.

(HHTTT), (TTTHH), (THTHT), (HTTHT), (HTTTH), (THHTT), (TTHHT), (TTHTH), (HTHTT), (THTTH), (HTHTT)

So, the number of possible sets of heads and tails that have 2 heads is 11.

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The probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.053. The probability that the investor will double his investment is approximately 0.315.

To find the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu, we need to calculate the probability of exactly 10 successes (perfect executions) out of the first 14 attempts and then the probability of a success on the 15th attempt. Each attempt has an 80% chance of success.

Using the binomial probability formula, the probability of exactly k successes in n attempts, with a success probability p, is given by:

\(P(X = k) = (n choose k) * (p^k) * ((1 - p)^(n - k))\)

In this case, we want to calculate\(P(X = 10) * P(X = 1) = (14 choose 10) * (0.8^10) * (0.2^4) * (0.8^1) = 0.0577 * 0.00016 ≈ 0.0092.\)

Therefore, the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.0092 or 0.92%.

To calculate the probability that the investor will double his investment, we need to consider the scenario where Marcus attempts the recipe once per day until the meeting. Since he has 6 days left and he has already executed the recipe 5 times successfully, he has 1 remaining attempt.

The probability of a success on the last attempt is 0.8, and the probability of failure is 0.2. Therefore, the probability that the investor will double his investment is P(X = 1) = 0.8.

Hence, the probability that the investor will double his investment is approximately 0.8 or 80%.

The binomial probability formula is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent Bernoulli trials. In this case, Marcus's attempts to execute the recipe can be modeled as a binomial distribution since each attempt has a fixed probability of success (80%) and the attempts are independent. By applying the formula, we can determine the probabilities associated with the number of successes and make informed decisions based on those probabilities.

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named width in java with a value of 1.55.

double length = 3.5; double width = 1.55;

Double is a data type in Java that supports storing decimal numbers. It is used to represent values that include a fractional component and is a 64-bit floating-point data type. When exact decimal numbers are required, as in financial or scientific computations, the double data type is frequently utilized. A double's range is roughly  ±\(5.0 \times 10^{-324}\) to ±\(1.7 \times 10^{308\) having a 15–17 decimal digit degree of accuracy.

For example:

double myDouble = 3.14; Alternatively, you may define a double variable without first giving it a value and then give it one later on in your code.

3.5 double length, 1.55 double width;

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Answer:

1080 degrees

Step-by-step explanation:

The sum of the interior angles of any polygon is:

Sum = (n - 2) * 180

Where n represents the number of vertices of the polygon

This polygon has 8 vertices so:

(8-2) * 180 = 6*180 = 1080 degrees