The Econo Motel charges $260 for 4 nights. At that rate, how much would 7 nights cost?

Given

z varies directly as x². If z = 18 when x = 3.

To find z, when x = 4.

Explanation:

It is given that,

z varies directly as x².

That implies,

Since z=18, when x=3.

Then,

Therefore, (1) becomes,

Also, for x=4,

Hence, the value of z is 32 when x=4.

Answer:

12.6% is the percent of change.

Step-by-step explanation:

As Expo Milano 2015 was visited by 22.2 million people.

And it is expected that Expo 2020 Dubai will  be visited by 25 million people.

so

25 - 22.2 = 2.8 million people

so dividing the 2.8 by 22.2 would give us the percentage of increase.

2.8/22.2 = 0.126 which is = 12.6%

Therefore, 12,6%  is the percent of change.

Answer:

Marko bikes approximately 16.13 miles.
A very slow rate.

Step-by-step explanation:

average speed = 534 minutes per mile

time taken = 8614

d = t/s

distance = 8614 / 534

= 16.13 miles

Answer:

F^-1(x) = x+9

Step-by-step explanation:

Hope this helps!  Stay Safe!\

The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a   f⁻¹(x) = x + 9

From the question, the given function is

f(x) = x - 9

To determine the inverse of this function,

That is,

y = x - 9

To do that, add 9 to both sides

We get

y +9 = x - 9 +9

y + 9 = x

∴ x = y + 9

That is,

f⁻¹(x) = x + 9

Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a   f⁻¹(x) = x + 9

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Answer:

5c = -26-4

5c = -30

c = -30/5

c = -6

Answer:

\(\boxed {c = -6}\)

Step-by-step explanation:

Solve for the value of \(c\):

\(5c + 4 = -26\)

-Subtract both sides by \(4\):

\(5c + 4 - 4 = -26 - 4\)

\(5c = -30\)

-Divide both sides by \(5\):

\(\frac{5c}{5} = \frac{-30}{5}\)

\(\boxed {c = -6}\)

So, the value of \(c\) is \(-6\).

Answer:

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

Step-by-step explanation:

3-4x=5x^2-14x

3=5x^2-14x+4x

3=5x^2-10x

5x^2-10x-3=0

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

8/5=x^2-2x+1

Cross product

8=5(x^2-2x+1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x

Answer:

3 - 4x = 5x2 - 14x

= 3 - 5x2 = - 14x + 4x

=  3 - 10 = 10x

= 7 = 10x

= x = 7/10

= x = 0.7

Step-by-step explanation:

Answer:

(-2,6)

Step-by-step explanation:

idek but you didn't give us a picture

Answer: For the second graph it's -2/3

3.) -10/6

4.) -20/-6

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

20 times 7/10= 14

Answer:

14

Step-by-step explanation:

first change 70% to a decimal it is 0.70 then multiply 0.70 times 20 and you get 14

Without any specific values provided for a, b, c, and d, we cannot determine a unique solution for the boundary value problem. The selection of a, b, c, and d will depend on the specific problem or context in which the differential equation is being used.

To ensure that the boundary value problem has a unique solution, we need to determine appropriate values for the constants involved. Let's go through the process step by step:

The given differential equation is y'' + 25y = 0, and its general solution is y(x) = c1 cos(5x) + c2 sin(5x).

We are given the boundary value problem y'' + 25y = 0, y(a) = c, y(b) = d.

Step 1: Plug in the values of a and b
Substituting the values of a and b into the boundary conditions, we have:
y(a) = c1 cos(5a) + c2 sin(5a) = c
y(b) = c1 cos(5b) + c2 sin(5b) = d

Step 2: Find the derivatives of y(x)
To find the derivatives of y(x), we differentiate the general solution:
y'(x) = -5c1 sin(5x) + 5c2 cos(5x)
y''(x) = -25c1 cos(5x) - 25c2 sin(5x)

Step 3: Substitute the derivatives into the differential equation
Substituting the derivatives into the differential equation y'' + 25y = 0, we get:
(-25c1 cos(5x) - 25c2 sin(5x)) + 25(c1 cos(5x) + c2 sin(5x)) = 0
Simplifying, we have:
-25c1 cos(5x) - 25c2 sin(5x) + 25c1 cos(5x) + 25c2 sin(5x) = 0
This equation holds true for any value of x.

Step 4: Solving for c1 and c2
Since the equation holds true for any x, the coefficients multiplying the sine and cosine terms must be zero:
-25c1 + 25c1 = 0
-25c2 + 25c2 = 0
This implies that c1 and c2 can take any values.

Step 5: Solving for a, b, c, and d
We have two boundary conditions:
y(a) = c1 cos(5a) + c2 sin(5a) = c
y(b) = c1 cos(5b) + c2 sin(5b) = d

For the given boundary value problem to have a unique solution, the two boundary conditions must be satisfied simultaneously and uniquely. This means that the equations y(a) = c and y(b) = d must have a unique solution for the constants c1 and c2.

To guarantee uniqueness, we need to ensure that the coefficients c1 and c2 are not chosen in a way that leads to the possibility of multiple solutions for c and d. Therefore, we need to select a, b, c, and d such that the system of equations formed by the boundary conditions has a unique solution.

Without any specific values provided for a, b, c, and d, we cannot determine a unique solution for the boundary value problem. The selection of a, b, c, and d will depend on the specific problem or context in which the differential equation is being used.

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Assuming an equal probability of having a girl or a boy for each child, the probability that a couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).

If we assume that the probability of having a girl or a boy for each child is equal (which is a simplifying assumption), then the probability of having a girl for each child is 1/2, and the probability of having a boy is also 1/2.

To find the probability that the couple does not have girls for all three children, we need to find the probability of having a boy for each child. Since the gender of each child is independent of the others, we can multiply the probabilities together.

So, the probability of having a boy for the first child is 1/2, for the second child is also 1/2, and for the third child is also 1/2.

Multiplying these probabilities together, we get:

(1/2) * (1/2) * (1/2) = 1/8

Therefore, the probability that the couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).

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Answer:

125 minus 81 will give me 34°

Answer:

x = 44°

Step-by-step explanation:

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the maximum percentage of women who weigh more than 201.2 pounds is 1.39%.

To find the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds, we need to standardize the values using the formula:

z = (x - μ) / σ

where:

x = weight value

μ = mean weight

σ = standard deviation

For x = 96.0 pounds:

z = (96.0 - 148.6) / 23.9

z = -2.21

For x = 201.2 pounds:

z = (201.2 - 148.6) / 23.9

z = 2.21

We can use a standard normal distribution table or calculator to find the area between -2.21 and 2.21. The area is approximately 0.9545 or 95.45%.

Therefore, the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds is 95.45%.

To find the maximum percentage of women who weigh more than 201.2 pounds, we need to standardize the value of 201.2 pounds using the same formula:

z = (x - μ) / σ

z = (201.2 - 148.6) / 23.9

z = 2.21

We can use a standard normal distribution table or calculator to find the area to the right of 2.21. The area is approximately 0.0139 or 1.39%.

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The answer is B. 18 1/2 feet.

The submarine descended 1012 feet. An hour later, it had descended a total of 29 feet. This means that the submarine traveled 1012 - 29 = 983 feet during this hour. 983 feet is equal to 18 1/2 feet.

Here is the solution in equation form:

Total distance traveled = Initial distance - Final distance

= 1012 feet - 29 feet

= 983 feet

= 18 1/2 feet

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The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

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Answer:

Z' = (-5,3)

Step-by-step explanation:

Move two to the (<- left) from -3,5 to get -5, 5

move two down to get -5,3

Answer:

Base

Step-by-step explanation:

A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

ANSWER

EXPLANATION

Nick has 4 quarts of ice and he wants to split it with 9 members of the team.

To solve this, we have to convert quarts to cups. We have that:

1 quart = 2 pints

and

1 pint = 2 cups

This means that:

1 quart = 2 * 2 cups

1 quart = 4 cups

So, 4 quarts will be:

4 quarts = 4 * 4 cups

4 quarts = 16 cups

Therefore, dividing the ice cream among 9 people would mean that we have to divide 16 cups by 9 people.

That is:

The complete statement is:

1 quart equals 2 pints, which equals 4 cups, so 4 quarts equals 16 cups. Dividing the ice cream among 9 people means each gets 1 7/9 cup(s)​

To get the graph of g(x) = f(x-1) -2, you'd shift the graph of f right 1 unit and down 2 units.

The "x-1" in f(x-1) is a horizontal shift (left/right) and those are the opposite of what you'd think.  Subtraction moves right, addition moves left.

The "-2" at the end is a vertical shift and that is what you'd expect with subtraction moving you down.

Go with the second answer:

The graph of f is shifted to the right 1 unit and down 2 units to create the graph of g.

Answer:

the solutions are {1, -3/2}

Step-by-step explanation:

The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.

We are told that -3/2 is a solution and must find the other solution   To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:

-3/2     /     2       1        -3

                         -3        3

           -------------------------

                 2      -2        0

Since the remainder is 0, we have verified that -3/2 is a solution.  The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1).  Setting this result equal to zero yields x = 1.  

Thus the solutions are {1, -3/2}.

Answer:

1

Step-by-step explanation:

Took the Test edge 2021

Answer:

2 583/1000

Step-by-step explanation:

Answer

To write 2.58333333333 as a fraction you have to write 2.58333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.58333333333 = 2.58333333333/1 = 25.8333333333/10 = 258.333333333/100 = 2583.33333333/1000 = 25833.3333333/10000 = 258333.333333/100000 = 2583333.33333/1000000 = 25833333.3333/10000000 = 258333333.333/100000000 = 2583333333.33/1000000000 = 25833333333.3/10000000000 = 258333333333/100000000000

And finally we have:

2.58333333333 as a fraction equals 258333333333/100000000000

Answer:

Step-by-step explanation:

can you post a better pic please

Answer:

Yes it is

Step-by-step explanation:

you're going up at a constant rate of 1.5 or down at a constant rate of 1.5

Answer:

\(\boxed{y = -5,5x - 52}\)

Step-by-step explanation:

Equation of a straight line: y = kx + b

Points: (-10,3) and (-8,-8)

Сompose the system of equations:

\(\displaystyle \left \{ {{3=-10k + b} \atop {-8=-8k + b}} \right\) \(\displaystyle \left \{ {{b= 3 + 10k} \atop {b=8k - 8}} \right \Longrightarrow 3 + 10k = 8k - 8\)

\(3 + 10k = 8k - 8\)

\(2k = -11|:2\)

\(k = -5,5\)

\(b = 3 + 10k = 3 + 10 \cdot ( -5,5) = 3 - 55 = -52\)

\(y = -5,5x - 52\)

Answer:Answer:

"For 75 g butter ≈ 27 fingers

Step-by-step explanation:

Using unitary method

For 20 fingers = 55 g butter

For 1 g butter = 20/55 fingers

=> For 1 g butter = 4/11 fingers (Simplified form)

Multiplying both sides by 75

=> for 75 g butter =

=> For 75 g butter ≈ 27 fingers ( approximately )"

Excerpt from Brainly

Answer:

The answer is in the provided screenshot!!!

I hope this helps! Please let me know if you have any questions!!!

a.  The value of z is (4a + b) / (2a).                      

b. "z varies depending on what a and b are." these statements does

characterize z. so statement 2 is the right choice.            

c. The value of z be if the same function was defined on the interval [1,4]

is z = (3 + b/a) / 2.        

d. conjecture z is located at the midpoint of any given interval.

a) To find z, we need to first calculate the slope of the line connecting

(2,f(2)) and (4,f(4)),

which is\((f(4) - f(2)) / (4 - 2) = (a(4^2) + b(4) + c - (a(2^2) + b(2) + c)) / 2 = 4a + 2b.\)

Next, we need to find a point (z,f(z)) on the curve where the slope of the

tangent line is also 4a + 2b.

The slope of the tangent line at any point x on the curve is given by f'(x) =

2ax + b, so we need to solve the equation 2az + b = 4a + 2b for z.

Rearranging the terms, we get z = (4a + b) / (2a).

b) From the formula for z above, we can see that z depends on the

values of a and b, but not on c. So the correct answer is 2) z varies

depending on what a, b, or c are.

c) Using the same formula as before, but with the interval [1,4], we get z =

(4a + b) / (2a) again, but with a slightly different value for f(1):

\((a(1^2) + b(1) + c).\)

However, since we only need to give the value of z, the specific values of

a, b, and c do not matter, so we can just use the formula to get z = (4 +

b/a) / 2.

d) Based on the formula for z above, we can see that z is always a linear

function of b/a, and is independent of c.

This means that z will always be located at the same relative position

within any given interval [x, y], regardless of the specific values of a, b,

and c.

Specifically, z will be located at the point ((x+y)/2, f((x+y)/2)), which

is the midpoint of the interval, and will depend only on the coefficients a

and b of the quadratic function.

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Answer:

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