An engine that has a 5% loss of power has an output of 209 hp. What is the input (base) horsepower of the engine?The input horsepower of the engine is ___ hp(Type an integer or a decimal.)

The answers is c, because if you look at the bottom left of graph c you'll see that low temperature is related to more fish (from 3)

at the top right, we see that high temparatures indicates less fish (to 0)

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Answer:

(-8,-4)

Step-by-step explanation:

Answer:

EASY (-8,-4)

Step-by-step explanation:

The sequence of transformations of the function are

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

f(x) = -3(x - 2)² + 1

The parent function is

y = x²

The transformation of the function from the parent function is as follows

Next, we plot the graph of the function

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Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

Answer:

The correct operator for the exponential expression 3^5 ? 4^6 is > (greater than), because we can compare the values of the two exponents:

3^5 = 243

4^6 = 4096

Since 4096 is greater than 243, we can write:

3^5 < 4^6

or

4^6 > 3^5

Therefore, the correct operator for the exponential expression 3^5 ? 4^6 is > (greater than).

Answer: 16.75

Step-by-step explanation:

Answer:

16.75

Step-by-step explanation:

To find the mean, add up all the number

18+20+16+13

67

Then divide by the number of quizzes

67/4

16.75

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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The value of the index form is x¹³/11

Index forms are simply described as mathematical forms or expressions that are used to represent numbers or variables that are too large or too small to be written conveniently.

Some rules of index forms are;

From the information given, we have that;

x⁹/11 × x⁴/11

Since they are of the same bases, add the exponent values

x¹³/11

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Answer:

In 4  month's it's 12 ounces, so in 8 months, it's 24 ounces. That means that in 12 months, a year, the cat will be 36 ounces.

Answer:

36oz

Step-by-step explanation:

12oz every 4 months

24oz in 8 months

36oz in 12 months

12 months in 1 year so the kitten will weigh 36oz

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Answer:

-3, -2, -1, 0, 1, 2, 3, 4

Step-by-step explanation:

Domain is just a fancy way of saying the x-values anything that is part of the line and is on the x-axis is a domain.

Hope that helps and have a great day!

Answer:

- 3, 4

Step-by-step explanation:

The domain is the first coordinate which means that it is x. The two points on this graph are ( - 3, 4 ) and ( 4, - 5 ). The two first coordinates of this set of ordered pairs are - 3 and 4. This means that - 3 and 4 are the domain of the graph.

Hope This Helps :)

Answer:

7

Step-by-step explanation:

:)

Answer:

D: 7

Explanation: after the decimal, its tenths, hundredths, thousandths

Answer:

$602.50

Step-by-step explanation:

The monthly rent is $1,050.00.

If Yadira pays 3/5 ths of the rent, then her friend will pay 2/5 ths of the rent:

\(\implies \sf \dfrac{2}{5}\;of\;1050=\dfrac{2}{5} \times 1050=420\)

Therefore, Yadira's friend pays $420 for rent.

If the monthly utilities average is $365, Yadira's friend's portion of the utilities will be half of the total:

\(\implies \sf \dfrac{1}{2}\;of\;365=\dfrac{1}{2} \times 365=182.5\)

Therefore, Yadira's friend pays $182.50 for utilities.

So the total amount Yadira's friend will pay each month is:

\(\implies \sf Rent + Utilities=420+182.50=602.50\)

Answer:

The car dealer must sell 105 cars in May to reach his goal.

Step-by-step explanation:

Given that the car dealer sold 84 cars in April, and wants to increase his May sales by 25%, to determine the number of cars he must sell to reach his goal it is necessary to perform the following calculation:

84 + (84 x 0.25) = X

84 + 21 = X

105 = X

Therefore, the car dealer must sell 105 cars in May to reach his goal.

An additive inverse of a number (x) is a number which when added to x results in being 0.

The given problem is -3 - (-6)

The additive inverse of -6 is 6

-3 -(-6) = -3 + 6 = 3

Communities property: 6-3 = 3

The answer is:

Because -3+6 is an equivalent expression, the answer is 3

A probability distribution called the uniform distribution of a random variable x in a closed interval [a,b] states that all values of x within the range are equally likely to occur.

Due to its flat top and consistent probability density, this distribution is sometimes referred to as a rectangle. The formula for the probability density function of a uniform distribution is

f(x) = 1/(b-a) for a ≤ x ≤ b

This indicates that there is an equal likelihood for any value of x in the range [a,b]. The likelihood of any value of x falling within the range [0,1], for instance, is 1/1, or just 1. Due to the fact that every value of x falling within the interval has the same probability, it is known as a uniform distribution.

The variance of a uniform distribution is equal to (b-a)2/12 and the expected value is simply the midpoint of the interval, (a+b)/2.

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Answer:

x=-7

Step-by-step explanation:

The circumference of the circle is 25. 12cm

The formula for calculating the circumference of a circle is expressed as;

C = 2πr

Given that;

The formula for radius is expressed as;

Radius = diameter/2

Radius = 8/2

Radius = 4cm

Substitute the values

Circumference, C = 2× 3.14 × 4

Multiply through

Circumference = 25. 12cm

Hence, the value is 25. 12cm

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

(8, -1)

Step-by-step explanation:

its the point of intersection

Answer:

D

Step-by-step explanation:

the following lines meet up at the poitn (8,-1) which is to answer d

hope this helps

Answer:

You will need to graph it, there is no direct answer.

Step-by-step explanation:

I recommend going to

https://mathpapa.com/algebra-calculator.html

And copy it in, it should show you how to graph it. Its hard to explain graphs without you seeing it.

Answer:

The rate of change is -2

Step-by-step explanation:

formula we will use: G(x)= \(\frac{f(b)-f(a)}{b-a}\)  [-1,2]

g(x)= \(x^3\)-5x

g(-1)=\(-1^3\)-5(-1)

g(-1)=-1+5

g(-1)=4

g(2)=\(2^3\)-5(2)

g(2)=8-10

g(2)=-2

so g(x)= \(\frac{(-2)-(4)}{(2)-(-1)}\)

g(x)= \(\frac{-6}{3}\)

g(x)=-2

Step-by-step explanation:

You look for the common factor of both of them which in this case is 5, therefore it's

5(x+7)..just divide 5 in 5x and in 35

The equation of the line is (y - 1/12) = -4/3(x - 7/5).

What is the slope of a line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinates to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively.

Consequently, the formula for the change in the y-coordinate with respect to the change in the x-coordinate is

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line can be depicted by

tan θ = Δy/Δx

So, the slope of a line is tan.

The given equation of a line is:

3x-4y=7

-4y = -3x + 7

y = 3/4 x - 7/4

The slope of the line is 3/4.

The slope of the line perpendicular to the given line is - 1/m = - 4/3

The point-slope of a line is y - y₁ = m(x - x₁).

The given point is (7/5,1/12)

The equation of the line is

(y - 1/12) = -4/3(x - 7/5)

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Answer:

below smallest to greatest:

Step-by-step explanation:

1)  1/4--> 3/8 --> 1/2

b) 4/9 --> 1/2 --> 2/3 -->5/6

c) 1/5--> 7/10 --> 3/4--> 4/5

Answer:

20.4

Step-by-step explanation:

Constant of proportionality, k, is given as \( \frac{y}{x} \).

Given that number of miles driven by Lily is directly proportional to the number of gallons she used, therefore the constant of proportionality between the number of miles driven and the number of gallons used can be determined by using any given pair from the table of values.

Using, (50, 1020),

constant of proportionality (k) = \( \frac{1020}{50} = 20.4 \).

The constant of proportionality is 20.4 miles per gallon.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the distance driven in miles for x galloons.

From the table, using the points (37, 754.8) and (50, 1020):

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-754.8=\frac{1020-754.8}{50-37}(x-37)\\\\y-754.8=20.4(x-37)\\\\y=20.4x\)

Therefore the constant of proportionality is 20.4 miles per gallon.

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Answer:

\(2 \frac{3}{4} \)

Step-by-step explanation:

4×2+3=11