A drain must be installed with a grade of 1/10 in. of vertical drop per foot of horizontal run. How much of a drop will there be for 58 ft of run? ​

Using the greatest common factor of 165, 143, and 77, the greatest number of rows the garden can have if Kate uses all of the plants is 11.

The greatest common factor of two or more numbers is the highest number that can divide the numbers evenly without a remainder.

The greatest common factor can be determined by finding the prime factors of each number and using the highest factor.

The greatest common factor of 165, 143, and 77 is 11.

When 11 rows divide 165 tomato plants, there will be 15 tomato plants per row.

When 143 cucumber plants are divided into 11 rows, there will be 13 cucumber plants per row.

When 77 basil plants are divided into 11 rows, there will be 7 basil plants per row.

Thus, we can conclude that Kate will use a maximum of 11 rows for plants.

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Answer:

605

Step-by-step explanation:

11x55=605

The question is vague, but I'll try and help.

Answer:

She saves $100.59 a year.

Step-by-step explanation:

Saving 7% of $1,437.00 each year.

7% of $1,437.00 (0.07 x $1,437.00) = $100.59

If it asks how much she saves over a certain number of years, just multiply 100.59 times how many years it asks for. Hope this helps.

The required, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they invested.

Here,
If Maria spends $1,437.00 on her auto insurance annually and she takes the defensive driving course, she will get a 7% discount on her liability insurance, PIP, comprehensive insurance, and collision insurance for three years.

To calculate the amount of the discount, we first need to find 7% of $1,437.00:

Discount = 0.07 × $1,437.00 = $100.59

So, the amount of the discount that Maria will receive annually is $100.59.

To find the total savings over three years, we multiply the annual discount by three:

Total savings = $100.59 × 3 = $301.77

Therefore, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

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Answer:

6!

Step-by-step explanation:

6!

If guests staying at Marada Inn were asked to rate the quality of their accommodations as being excellent (E), above average (AA), average (A), below average (BA), or poor (P). The frequency is : 1, 8, 6, 3, 2.

Analysis

E = E =1

AA= AA +AA + AA + AA + AA+ AA + AA +AA = 8

A= A + A+ A+ A+ A+ A = 6

BA = BA + BA + BA =3

P = P + P =2

Hence,

Class     frequency

E                     1

AA                  8

A                     6

BA                   3

P                      2

Total               20

Therefore  1, 8, 6, 3, 2 is the frequency .

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The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

From the complete questions, the profit functions are calculated as follows:

Material 1

\(P(x) = 5000000- 20000x - 200000x + 2000x^2\)

\(P(x) = 5000000-220000x + 2000x^2\)

Material 2

\(P(x) = 4000000 - 10000x - 160000x+ 1000x^2\)

\(P(x) = 4000000-170000x+ 1000x^2\)

Material 3

\(P(x) = 2000000 - 5000x - 54000x - 270x^2\)

\(P(x) = 2000000 -59000x - 270x^2\)

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using \(P(x) = 4000000-170000x+ 1000x^2\)

So, we have:

\(P(151) = 4000000-170000 * 151+ 1000* 151^2\)

\(P(151) = 1131000\)

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using \(P(x) = 5000000-220000x + 2000x^2\)

So, we have:

\(P(49) = 5000000-220000 * 49 + 2000* 49^2\)

\(P(49) =-978000\)

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using \(P(x) = 2000000 -59000x - 270x^2\)

So, we have:

\(P(45) = 2000000 -59000 * 45 - 270 * 45^2\)

\(P(45) = -1201750\)

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using \(P(x) = 4000000-170000x+ 1000x^2\)

So, we have:

\(P(30) = 4000000-170000*30+ 1000*30^2\)

\(P(30) = -200000\)

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using \(P(x) = 5000000-220000x + 2000x^2\)

So, we have:

\(P(40) = 5000000-220000*40 + 2000*40^2\)

\(P(40) = -600000\)

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

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Answer:

Both plans cost the same when 50 texts are sent

Step-by-step explanation:

Both the plans cost the same amount $22.5 when 50 texts are sent:

\(20+0.05*50 = 10+0.25*50\)✔️

Have a nice day! :)

b = 36.0

Step-by-step explanation:

These two triangles are similar, so they can have a ratio that is equal to one another. We need to pick a side on one of the triangles and match the corresponding side on the other triangle, an example of this would be 6/27. Something like 6/45 would be incorrect since they are totally different corresponding sides. For the other side of the ratio, you will want to keep the same pattern. So if you do the left triangle first in the first ratio, keep it the same for the other. An example of this would be 6/27 = 8/b. It would be incorrect to put 6/27 = b/8.

There are numerous different ratios you can do but this is the one I did...

\(\frac{10}{45}=\frac{8}{b}\)

Notice how I used both of the triangles corresponding sides and followed the pattern of which triangle came first.

Now we can solve by cross multiplying.

\(10*b=10b\)

\(45*8=360\)

\(10b=360\)

Divide.

\(360/10=36\)

b = 36

Answer:

C

Step-by-step explanation:

If you start by picking a point to plug in you can check easily to see what works.

Lets start with x=pi. If we plug that into all the answer choices,

A. sec(pi/2)+2 = does not exist

B. 1/2sec(2pi) = 1/2

C. 2sec(pi/2) = does not exist

D. 2csc(pi/2) = 1

So, since at pi there is a vertical asymptote it should not exist. So, A or C.

Then pick x = 0, y must be 2.

A. sec(0) +2 = 1+2 = 3

C. 2sec(0) = 2

So, C must be the answer.

There are 20 possible routes that a man could take to go between cities and then take a different route back.

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

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SOLUTION

The given equation:

From the second equation

Substitute x=1+y into the first equation

Substitute y=7 into the equation x=1+y, it follows:

This gives

Therefore the solutions are

Answer:

See image

Step-by-step explanation:

Answer:

510 minutes.

Step-by-step explanation:

i hope this helped you! :)

510 MINUTES!! :)

Hope this helped!

Answer:

y < -14/3

Step-by-step explanation:

y/4 - y - 1/2 > 3

          +1/2     +1/2

---------------------------

y/4 - y > 7/2

*4           *4

---------------------------

y - 4y > 14

-3y > 14

/-3     /-3

---------------------------

y < -14/3

Answer:

y < -14/3 --> final solution

The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm

The sector area

The area of the sector is calculated as

Area = x/360 * πr²

Where

r² = 8² + 6²

So, we have

r² = 100

This means that

Area = 82/360 * π * 100

Evaluate

Area = 71.55

The triangle area

This is calculated as

Area = 0.5bh

So, we have

Area = 0.5 * 8 * 6

Evaluate

Area = 24

So, the area of the figure is

Figure = 24 + 71.55

Figure = 95.55

Hence, the area is 95.55

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Answer:

20+20+8+8+10+10=40+16+20=60+16=76

Step-by-step explanation:

brainliest?

Answer:

65

Step-by-step explanation:

because it is vertically opposite angles

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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The cost function is minimized when the predicted values are as close as possible to the actual values, which is achieved by finding the optimal values of the parameters θ.

What is the least squares cost function?

The least squares cost function for linear regression is used to measure the difference between the predicted values and the actual values of the target variable. It is defined as the sum of the squared differences between the predicted values and the actual values.

The compact form of the cost function is given by:

J(θ) = (1/2m) * Σ(i=1 to m) (hθ(x^i) - y^i)^2

where:

hθ(x^i) is the predicted value of the target variable for the ith sample, given by the hypothesis function hθ(x^i) = θ^T * x^i

y^i is the actual value of the target variable for the ith sample

θ is the vector of parameters for the linear regression model

m is the number of samples in the dataset

Hence, The cost function is minimized when the predicted values are as close as possible to the actual values, which is achieved by finding the optimal values of the parameters θ.

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Answer it is 456y5445t6y5432

Step-by-step explanation:

ww

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

The proportional relationship modeling the number of eggs needed to make x pies is given as follows:

y = 3x.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The variables for this problem are given as follows:

3 large eggs, hence the constant of the proportional relationship is given as follows:

k = 3.

Then the equation of the proportional relationship is given as follows:

y = 3x.

Which is a linear function with a slope of 3 and an intercept of zero.

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Answer:

  46

Step-by-step explanation:

You want to evaluate the expression t²u+s for t=-2, u=9, s=10.

Put the numbers in the places of the corresponding variables, and do the arithmetic.

  (-2)²·9 +10 = 4·9 +10 = 36 +10 = 46

The value of the expression is 46.

Answer:

Rider A 450   Rider B 360

Step-by-step explanation:

Answer:

The vertex is where the lines create a point. Which would make the answer (4,-1)

Step-by-step explanation:

The vertex is where the lines create a point. Which would make the answer (4,-1).

The solution is : (4,-1)  is the vertex of the absolute value function below.

In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

here, we have,

A vertex is an inflection point where a function changes its direction.

So, to answer this question, we have to find that inflection point where the absolute functions returns.

If you observe the given graph, you will see that such inflection point is at (4,-1).

That means the vertex is located in that position.

Therefore, the right answer is provided by the first choice. (4,-1)  is the vertex of the absolute value function below.

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