Markups The depth of water in a pond increases by 3% after a heavy rain. If the average depth of the water was 8.3 feet, what is the new depth?​

Answer:

the answer is -5

Step-by-step explanation:

1. identify the ordered pairs

2. write down the slope formula

3. replace the letters with their values

4. subtract

5. divide

10.5y + 6x

and it's done

Answer:

c

Because...

It has the same slope.

The p-value (0.040) is less than the significance level of 0.05, we reject the null hypothesis that the true average strength is greater than or equal to 100 MPa.

The standard deviation of the compressive strength is a measure of the variation or spread of the compressive strength values around the mean.

Let's denote the sample mean and sample standard deviation of the compressive strength by x-bar and s, respectively.
Then the test statistic is:

t = (x-bar - 100) / (s /√n)

Here, n = sample size (given, n = 10)
Using the given data, the sample mean and standard deviation:

x-bar = (112.3 + 97.0 + 92.7 + 86.0 + 102.0 + 99.2 + 95.8 + 103.5 + 89.0 + 86.7) / 10 = 96.42

s = √(((112.3-94.2)² + (97.0-94.2)² + ... + (86.7-94.2)²) / 9) = 8.26

So, the test statistic,

t = (96.42 - 100) / (8.3 / √10) = - 1.36

The degrees of freedom for the t-distribution is n - 1 = 9. Using a t-table or calculator, we find that the p-value for a one-tailed test (since we are testing for a decrease in strength) with 9 degrees of freedom and a test statistic of -1.36 is approximately 0.040.

Since the p-value (0.040) is less than the significance level of 0.05, we reject the null hypothesis that the true average strength is greater than or equal to 100 MPa. Therefore, there is evidence to suggest that the true average strength is less than 100 MPa.

To know more about standard deviation, visit:

https://brainly.com/question/28528375

#SPJ1

Answer:

option A is correct answer

divide both sides with 2

hope it helps

Answer:

option A is the right condition to be fulfilled to solve the equation.

The horizontal distance from Macy and Jeremy's sail boat to the base of the lighthouse is approximately 568 meters.

Let x be the horizontal distance from Macy and Jeremy's sail boat to the base of the lighthouse.

Then we can draw a right triangle with the lighthouse as the hypotenuse, the horizontal distance x as the adjacent side, and the vertical distance from the sail boat to the top of the lighthouse (511 meters) as the opposite side.
The angle of elevation from Macy to the top of the lighthouse is given as 42 degrees.

This means that the angle between the opposite side and the hypotenuse is also 42 degrees, since they are opposite angles in a parallelogram.
Now we can use the tangent function:
tan(42) = opposite / adjacent
We know that the opposite side is 511 meters and we want to find the adjacent side (x).

So we can rearrange the equation:
x = opposite / tan(42)
Plugging in the values, we get:
x = 511 / tan(42)
Using a calculator, we find that tan(42) is approximately 0.9. So:
x = 511 / 0.9
x ≈ 568 meters
For similar question on horizontal distance:

https://brainly.com/question/10093142

#SPJ11

Complete question :

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.

Answer:

31C + 19M ≤ 706

7500C + 4300M > 84000

Step-by-step explanation:

C = number of cars built

M = number of motorcycles built

Cost of building a car :

Cost = 31 + $7500

Cost of building a motorcycle,:

Cost = 19 + 4300

To build, C cars :

Number of employees = 31C

7500 * C = 7500C

To build, M motorcycles :

Number of employees = 19M

4300 * M = 4300M

Genghis budget :

Amount > 84000

Number of employees ≤ 706

Hence, the constraints

31C + 19M ≤ 706

7500C + 4300M > 84000

The two non negative real numbers with a sum of 60 that have the largest possible​ product are 30 and 30.

What are non negative numbers?

Non-negative numbers are those that are either zero or positive (remember that 0 and 0 are the same). An integer that is either positive or zero is considered a non-negative integer. It is the result of adding all the natural numbers together with zero. It can be defined as the set "0, 1, 2, 3,...," and is also known as Z.

An integer that is either positive or zero is considered a non-negative integer.

Let us assume the two non negative numbers are \(x\) and \(y\).

According to the question,

Sum of two non negative numbers = 60

⇒ \(x+y=60\)

⇒ \(y=60-x\)

Their product will be given as,

⇒ \(P=xy\)

⇒ \(P=x(60-x)\)

⇒ \(P=60x-x^2\)

For the product to be largest \(P'(x)=0\)

⇒ \(P'(x) = 60-2x\)

⇒ \(60-2x=0\)

⇒ \(2x=60\)

⇒ \(x=30\)

Now, for the value of \(y\)

⇒ \(y=60-x\)

⇒ \(y=60-30\)

⇒ \(y=30\)

Therefore, the two non negative numbers are 30, 30.

To know more about the non negative numbers..........

https://brainly.com/question/19578996

#SPJ4

Answer:9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation

Solving for h

The time at which Liz will catch up with Mandy is 1 pm.

Here we have to find the time when Mandy and Liz meet.

Let t be the time taken by Liz to meet Mandy

Given:

Speed of Mandy = 30mile/hr

Speed of Liz = 36 miles/hr

Formula:

Speed = Distance/ time

Distance by Mandy = 30t

Distance by Liz = 36( t - 20/60)

As the distance covered by both is the same. So we have

30t = 36( t - 1/3)

6t = 12

t = 2

2 hours past 11 am is 1 pm.

Therefore Liz catch Mandy at 1 pm.

To know more about the speed, time and distance refer to the link given below:

https://brainly.com/question/26046491

#SPJ4

Answer: I think it's a relflection over x-axis followed by a rotation of 180 degrees which is b

Step-by-step explanation:

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin

There are three types of translations -

Given is to find the set of transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2).

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

Therefore, the transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

To solve more questions on graph rotation, visit the link below-

https://brainly.com/question/19527326

#SPJ7

The true statement is b) -11 < -8. This means that -11 is less than -8, and the value of -11 is smaller. When comparing negative numbers, the larger the absolute value, the smaller the number itself.

These symbols are used to indicate the relationship between two numbers and are denoted by >, <, and =, respectively.

In conclusion, understanding the concepts of greater than, less than, and equal to is an important part of mathematics and is useful in many real-world situations. By knowing the true statement, you can make accurate comparisons and solve problems more effectively.

to know more about true statement refer here

https://brainly.com/question/10705953#

#SPJ11

\(\sqrt{42} =6.480740698/\sqrt{42}\)

Answer:

6.4807 Step-by-step explanation:

The square root of 42 is 6.4807.

Answer:

the persson who aswered this got it right ( up there or down there )

Step-by-step explanation:

A random variable is a variable that takes on values that are uncertain or probabilistic in nature.

Therefore, the correct option is a) A variable that takes on values that are uncertain.

Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.

These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.

For similar question on probability.

https://brainly.com/question/24855677

#SPJ11

The functions and their transformations are

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

f(x) = 2(x + 1)² - 3

A translation down by 5 units is represented as

f(x) - 5

So, we have

f(x) - 5 = 2(x + 1)² - 3 - 5

f(x) - 5 = 2(x + 1)² - 8

Rewrite as

h(x) = 2(x + 1)² - 8

A translation left by 5 units is represented as

f(x + 5)

So, we have

f(x + 5) = 2(x + 1 + 5)² - 3

f(x + 5) = 2(x + 6)² - 3

Rewrite as

k(x) = 2(x + 6)² - 3

A translation right by 5 units is represented as

f(x - 5)

So, we have

f(x - 5) = 2(x + 1 - 5)² - 3

f(x - 5) = 2(x - 4)² - 3

Rewrite as

g(x) = 2(x - 4)² - 3

A translation up by 5 units is represented as

f(x) + 5

So, we have

f(x) + 5 = 2(x + 1)² - 3 + 5

f(x) + 5 = 2(x + 1)² + 2

Rewrite as

j(x) = 2(x + 1)² + 2

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

The incline angle θ for both blocks A and B to begin sliding is approximately 15.8 degrees. The required stretch or compression in the connecting spring for this to occur is approximately 1.89 ft.

To determine the incline angle θ at which both blocks A and B begin to slide, we need to compare the force of static friction with the force component parallel to the incline. The force of static friction can be calculated using the equation fs = μN, where fs is the force of static friction, μ is the coefficient of static friction, and N is the normal force. The normal force N can be found by taking the weight of each block and multiplying it by the cosine of the angle.

Once we have the force of static friction, we can calculate the force component parallel to the incline using the equation Fpar = m*g*sin(θ), where m is the mass of the block and g is the acceleration due to gravity. At the point when both blocks start to slide, the force of static friction should be equal to the force component parallel to the incline.

Now, we can set up equations for both blocks A and B. For block A, we have μA*N = mA*g*sin(θ), and for block B, we have μB*N = mB*g*sin(θ). Since we know the weights of the blocks, we can substitute them into the equations. Rearranging the equations, we can solve for sin(θ), which gives us sin(θ) = (μA*mA + μB*mB) / (mA + mB). By substituting the given values, we find sin(θ) ≈ 0.447.

To find the incline angle θ, we take the inverse sine of sin(θ), which gives us θ ≈ 26.3 degrees. However, we need to consider the angle at which block A starts to slide. From the given information, we know that the coefficient of static friction μA for block A is 0.15. By substituting this into the equation, we find sin(θ) = μA ≈ 0.15, which gives us θ ≈ 8.6 degrees.

Since we are looking for the angle at which both blocks start to slide, we take the higher value, which is approximately 8.6 degrees.

To determine the required stretch or compression in the connecting spring for both blocks to slide, we need to calculate the force exerted by the spring. The force exerted by the spring can be determined using Hooke's law, F = kx, where F is the force exerted by the spring, k is the stiffness of the spring, and x is the stretch or compression of the spring. By substituting the given value of k, we find F = 2.0x.

At the point when both blocks start to slide, the force exerted by the spring should be equal to the force component parallel to the incline. We can set up an equation for the force component parallel to the incline using the equation Fpar = m*g*sin(θ), where m is the mass of the blocks and g is the acceleration due to gravity.

By equating the force exerted by the spring and the force component parallel to the incline, we have 2.0x = (mA + mB)*g*sin(θ). Substituting the given values, we find 2.0x = (11 + 6)*32.2*sin(8.6), which simplifies to x ≈ 1.89 ft.

Therefore, the required stretch or compression in the connecting spring for both blocks to slide is approximately 1.89 ft.

Learn more about incline angle

brainly.com/question/13685735

#SPJ11

Answer:

A 26

Step-by-step explanation:

4(x - y) + 2                     x = 7 and y = 1

4(7 - 1) + 2

= 4(6) + 2

= 24 + 2

= 26

So, the answer is A 26

The only graph that shows a polynomial function that does not have a positive interval is; Graph A

When dealing with Polynomials, we know that the zeros of a polynomial correspond to the x-intercepts of the graph of the Polynomial.

Now, when talking about the interval of a Polynomial Graph, we can say that if the x-intervals which is the domain of the polynomial graph produces a range which is entirely above the x-axis, then it is said to have all positive intervals. However, if the x-intervals which is the domain of the polynomial graph produces a range which is entirely below the x-axis, then it is said to have all negative intervals

From the given options, we can see that the only graph with all the values of y below the x - axis is option A.

Read more about Polynomial Interval at; https://brainly.com/question/24367710

#SPJ1

As per central angle theorem, James in incorrect because he calculated the number of slices of pizza that were eaten instead of the number of slices of pizza that were left. James needed to divide 360 by the appropriate number of slices of pizza, 8. He then would have needed to multiply the result by 5 in order to find how many degrees of pizza was left over. After that, James would have needed to divide by 180 and multiply by π to get 1.257 radians as the amount of pizza that was left.

The central angle is the angle that a circle's arc occupies in its center. The arms of the central angle are formed by the radius vectors.

In other words, it's an angle whose vertex is the center of a circle and whose arms, which have the circle's two radii as their arms, cross at two separate positions. These two points make an arc when they are combined. The angle that this arc at the circle's center subtends is known as the central angle.

Here,

out of 8 slices 5 are left.

So 360/8

= 45

5 × 45 = 225°

Now 225° = 225× π/180

= 3.927 Rad

To know more about central angle tendency, visit:

https://brainly.com/question/29545066

#SPJ1

James ordered a large pizza cut into eight equal pieces. Of the 8 slices, only 3 were edible. James thought the rest of the pizza was 0.75 pi radians. Option A) correctly describes James' claim.

The central angle is the angle an arc of a circle makes at its center. The central angle arm is formed by the radius vector. That is, the angle at which the arms with the apex at the center of the circle and the arms at his two radii of the circle intersect at two different positions. Combining these two points forms an arc. The angle that this arc makes at the center of the circle is called the central angle.  

Here,

out of 8 slices 5 are left.

So 360/8

= 45

5 × 45 = 225°

Now 225° = 225× π/180

= 3.927 Rad

According to the central angle theorem, James is wrong because he calculated the number of pizza slices eaten, not the number of pizza slices left. James had to divide his 360 by 8, the number of pizza slices. Then he had to multiply the result by 5 to see how many pizzas were left. Then James had to divide him by 180 and multiply by π, so he got 1.257 radians as the remaining amount of pizza.

To know more about central angle tendency, visit:

https://brainly.com/question/29545066

#SPJ1

Given the net of a figure:

As shown the number of faces = 7 faces

The number of bases = 2 bases

As the base has 7 sides it will be a heptagon

The height of the prism = the length of one side of the base

The surface area of the prism = area of the bases + area of the faces

= area of 2 heptagons + area of 7 squares

The ordered pair that represents "649-11-02-00-00 files/" is (649, 11, 2, 0, 0) and the magnitude of the ordered pair (649, 11, 2, 0, 0) is approximately 649.4.

For the magnitude of the ordered pair (649, 11, 2, 0, 0), we can calculate the Euclidean norm, which is the square root of the sum of the squares of each component.

Magnitude = \(\sqrt\)(649^2 + 11^2 + 2^2 + 0^2 + 0^2)

              =\(\sqrt\\\) (421201 + 121 + 4)

              = \(\sqrt\)(421326)

              ≈ 649.43

So, the magnitude of the ordered pair (649, 11, 2, 0, 0) is approximately 649.43.

To know more about ordered pair refer here:

https://brainly.com/question/28874341#

#SPJ11

Answer:

Step-by-step explanation:

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Learn more about  expression from

https://brainly.com/question/723406

#SPJ11

When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

Learn more about data on

https://brainly.com/question/26711803

#SPJ1

Answer:

The third option is correct.

The domain of the function is given by

\(Domain = 0 \leq t \leq 40\)

The range of the function is given by

\(Range = 0 \leq V(t) \leq 200\)

Step-by-step explanation:

Sara bought a cell phone for $200 and its value has decreased at rate of $5 per month.

V(t) is the value of the phone and t is the number of months.

The domain of the function is the possible values of the number of months t.

The domain of the function is given by

\(Domain = 0 \leq t \leq 40\)

The range of the function is the values of V(t) that we get after substituting the possible values of the number of months t.

The range of the function is given by

\(Range = 0 \leq V(t) \leq 200\)

When the number of months is t = 0 then the value of the function is maximum V(t) = 200

When the number of months is t = 40 then the value of the function is minimum V(t) = 0

Therefore, the third option is correct.

Answer:

4 children per counselor

Step-by-step explanation:

Since the question is asking children per counselor, divide the children/counselor. Check all of the rows by dividing the children by counselor to make sure the constant of proportionality is correct. If you divide correctly, the constant of proportionality you get is 4.

Hope it helps!

Answer:

there is 4 students per conceler.

Step-by-step explanation:

please mark as brainllist.

Answer:

I think its B.

Step-by-step explanation:

sorry if i am wrong.