A phone company charges $10.50 for 3 hours of service. What is the cost per hour?
A. $31.50
B. $13.50
C. $7.50
D. $3.50​

The statements about the function that are true are

The equation of the graph is given as

f(x) = (x - 1)(x + 7)

The graph of the function is added as an attachment

On the graph, we have

Vertex = (-3, -16)

This is so because the graph has a minimum point of (-3, -16)

Also, the graph crosses the x-axis at x = 1 and x = -7

This means that the graph is positive at x >1 and x >-7

Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3

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Queremos encontrar el número total de árboles en un jardín botánico siendo que conocemos el porcentaje de un dado tipo de arbol, y cuantos de estos arboles tenemos.

Veremos que el número total de arboles es 250.

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

Para resolver esto, primero debemos analizar la información que se nos da:

Si definimos N como el número total de arboles, sabemos que el 18% de N es igual que 45.

Entonces podemos escribir:

(18%/100%)*N = 45

0.18*N = 45

Ahora podemos resolver esto para N:

N = 45/0.18 = 250

Es decir, hay 250 árboles en total.

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Six over ten >_three over four__> one over two

D three over four.

To determine the fraction that goes in the blank, we need to compare the fractions six over ten and one over two.

To compare fractions, we can either find a common denominator or convert them into decimal form.

Let's go with the decimal approach.

To convert six over ten into a decimal, we divide 6 by 10, which equals 0.6. Similarly, for one over two, dividing 1 by 2 gives us 0.5.

Now, we can see that 0.6 is greater than 0.5.

Since six over ten is greater than one over two, we need to find a fraction that is greater than 0.6 but less than 0.5.

Among the given options, the only fraction that fits this criterion is three over four (option D).

To confirm this, let's convert three over four into a decimal.

Dividing 3 by 4 gives us 0.75, which is greater than 0.6 and less than 0.5.

Therefore, we can conclude that the correct fraction to fill in the blank is three over four (D).

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Answer:

2x

Step-by-step explanation:

The amount of water a bag of salt can treat is 47, 250 cubic feet

The formula for volume of a rectangle is expressed as;

Volume = length × width × height

From the information given, we have the following parameters;

Substitute the values into the formula

Volume = 25 × 14 × 5

Find the product

Volume = 1750 cubic yards

Covertoing cubic yard to cubic feet

I cubic yard = 27 cubic foot

1750 yards = x

x = 27 × 1750

x = 47, 250 cubic feet

Thus, the amount of water a bag of salt can treat is 47, 250 cubic feet

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Answer: Yes.

Step-by-step explanation:

Answer:

yes, it is because the right side is the bigger side.

Step-by-step explanation:

See in a right triangle, the side that is opposite of the 90° angle is the longest side of the triangle, and is called the hypotenuse.

9514 1404 393

Answer:

  414.5 cm³

Step-by-step explanation:

The lateral area of a cylinder is given by the formula ...

  LA = 2πrh

Then the radius is ...

  r = LA/(2πh)

The volume of the cylinder is given by ...

  V = πr²h

Using the above expression for r, this becomes ...

  V = π(LA/(2πh))²h = LA²/(4πh)

  V = (250 cm²)²/(4π·12 cm) ≈ 414.47 cm³

The volume of the cylinder is about 414.5 cm³.

Answer:D

Step-by-step explanation: The sides should be 6.633 to have an area of 44in squared so that cancels out 11 and 7 and 6.5 because 11 and 7 are higher than 6 and 6.633 and they said exactly 6.5 which is obviously wrong.

Give the man brainliest: Oh wow look at that they added a new area where I can convince you to give me brainliest. I deserve brainliest because shaggy is my best friend and if I don't get brainliest he'll destroy you using 1% of his power.

Big chungus: Give him brainliest or else

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please brainliest

im only answering so he can get brainlest

Answer:

15.25 km =15,250 m

so Jada ran further

Answer:

Jada ran farther

Step-by-step explanation:

First, convert 8,500 to kilometers.

8,500 ÷ 1,000 = 8.5

15.25 > 8.5

Have a wonderful day!

Answer:

y=(x-4)(x-1)

Step-by-step explanation:

We need y to be 0 and x must equal 4 and 1

The only way to make y=0

is to swap 9 and 5 for -4 and -1

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

5.09 units

Step-by-step explanation:

Given equation

\(y=2\ln x=f(x)\) in the interval \(1\le x\le 4\)

So we integrate \(y\) in the given interaval

\(\int f(x)=2\int\limits^4_1 {\ln x}dx\)

Let us integrate \(\ln x\) first.

let

\(u=\ln x, dv=dx\)

\(du=\dfrac{1}{x}, v=x\)

\(\int\ln x dx=udv\)

Using integration by parts we get

\(uv-\int vdu\)

\(=x\ln x-\int x\dfrac{1}{x}dx\)

\(=x\ln x-dx\)

\(=x\ln x-x+C\)

So here

\(\int f(x)=2\int\limits^4_1 {\ln x}dx\\ =2(x\ln x-x)_1^4\\ =2[(4\ln 4-4)-(1\ln 1-1)]\\ =2[4\ln 4-4+1]\\ =5.09\ units\)

The area of the the region between the curve and horizontal axis is 5.09 units.

Answer:

Step-by-step explanation:

According to newton second law, the force of gravity on an object varies directly with its mass and it is expressed mathematically as Fαm i.e

F = mg where;

F is the force of gravity

m is the mass of the body

g is the proportionality constant known as the acceleration due to gravity.

If the constant of variation due to gravity is 32.2ft/s², the equation that represents F, the force on an object due to gravity according to m, the object’s mass can be gotten by substituting g = 32.2 into the formula above according to the law as shown;

F = m*32.2

F =32.2m

Hence the required equation is F = 32.2m

Answer:

Step-by-step explanation:

You want to know whether the function y = 340(0.904^x) represents growth or decay, and the percentage rate of increase or decrease.

The general form of an exponential function is ...

  y = a(b^x)

where ...

The function will represent growth when b > 1, and decay when b < 1.

Here, we have ...

  b = 0.904 = 1 - 0.096 . . . . . . . . b < 1; growth rate = -9.6%

The function represents decay at the rate of 9.6% per interval.

__

Additional comment

No units for x are given, so we don't know what x might represent. It could be seconds, years, decades, or some other sort of interval, such as "iterations." All we know is that when x increases by 1, the value of y decreases by 9.6%.

Answer:

1.894

3.169

2.064

3.690

Step-by-step explanation: 90% ; sample size = 8

Degree of freedom, df = n - 1

t(1 - α/2, 7) = t0.05, 7 = 1.894

The answers are:

Part A: The two values of x are: x > 8 or x < -24

Part B: Closed circles at -24 as well as 8 on the number line.

Inequalities are mathematical formulas with two sides that are unequal. In an inequality, we evaluate two numbers rather than two equations. In place of the equal sign, a less than (less than or equal to), larger than (greater than or equal to), or not equal to sign is used.

The following steps are missing for the inequalities:

Solving the inequalities,

Part A:

|1/4x+2|+4 >= 8

|1/4x+2|>=4

Now when we remove the sign fom the inequality, there would be 2 values:

(1/4) x + 2 > 4 or (1/4) x + 2 < -4

Now subtracting 2 from both side:

\((\frac{1}{4} )x > 2\ or\ (\frac{1}{4} )x < -6\)

Divide both the sides by 4:

4(1/4) x > 4(2) or 4(1/4) x < 4(-6)

Now we get two values of x:

x > 8 or x < -24

Part B:

Closed circles at -24 as well as 8 on the number line. Draw a thick line from -24 to the left arrow and a thick line from 8 to the right arrow.

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Parabolas are used to represent curved functions

The shortest distance between the parabola and the point is \(x = -\frac 1{2}\)

The parabola is given as:

\(y=(7x+5)^{1/2}\)

Rewrite as:

\(y=\sqrt{7x+5}\)

Let p represent a point on the parabola.

So, we have:

\(P(x,\sqrt{7x + 5})\)

Next, calculate the distance between P and the point (3,0) using the following distance formula:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2\)

So, we have:

\(d = \sqrt{(x- 3)^2 + (\sqrt{7x + 5})^2\)

\(d = \sqrt{x^2- 6x + 9 + 7x + 5}\)

Evaluate the like terms

\(d = \sqrt{x^2+ x + 14}\)

Square both sides

\(d^2 = x^2+ x + 14\)

The shortest distance is then calculated as:

\(x = -\frac b{2a}\)

Where:

a = 1, b = 1 and c = 14

So, we have:

\(x = -\frac 1{2*1}\)

\(x = -\frac 1{2}\)

Hence, the shortest distance between the parabola and the point is \(x = -\frac 1{2}\)

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SOLUTIONS

To solve for the selling price:

Cost price = 675 dollars and loss % 92% what is the selling price?

Step-by-step explanation:

loss%=(cp-sp/cp)×100

92=(675-sp/675)×100

Therefore the selling price = 54 dollars

Answer:

$718.54

Explanaton:

Peter work 57 hours, so he works 17 hours of overtime because

57 - 40 = 17

Then, he earns $10.97 per hour, so for the first 40 hours, he earns a total of

40 x $10.97 = $438.8

To calculate the earning for the overtime hours, we need to multiply the normal salary per hour to 1.5 which is the usual rate, so for the overtime hours, he earns:

17 x $10.97 x 1.5 = 279.735

Therefore, the gross pay is

$438.8 + $279.735 = $718.54

So, the answer is $718.54

Answer:

x/6=12+7

x/6=19

x=19*6

x=114

Answer:C

Step-by-step explanation:

Answer: bottom right

Step-by-step explanation:

x = number of minutes

first cost function :

c(x) = 0.14x + 15

the second cost function :

c(x) = 0.18x

I guess, the question (not written in the description) is after how many minutes call time the first plan breaks even with the second plan and further becomes the better choice ?

0.18x = 0.14x + 15

0.04x = 15

x = 15/0.04 = 375

with 375 minutes calling time per month the first plan costs the same as the second plan.

and starting with 376 minutes per month the first plan becomes the cheaper option.

under 375 minutes per month the second plan is the cheaper option.

Answer:

1. Decimal: 0.1 Fraction: 1/10

2. Decimal: 0.8 Fraction: 8/10

3. Decimal: 0.4 Fraction: 4/10

4. Decimal: 0.6 Fraction: 6/10

5. Decimal: 0.7 Fraction: 7/10

Explaination:

brainliest me if it helps!

Answer:

Volume = 144 ft

Step-by-step explanation:

1. Let's write some things down, so we don't forget them!

Length = 12 ft

Height = 2 ft

Width = 6 ft

2. We can probably assume the sandbox is a rectangle. The formula for the volume of a rectangle is Length x Height x Width. So, 12 x 2 x 6 = 144, therefore that's the volume!

The coordinates of the vertices for the image of the triangle U′V′W′ is

U′(1, 1), V′(−4, 0), W′(−1, 4)

To rotate a point 90 ° clockwise about the origin, we can apply the transformation (x, y) → (y, -x)

So applying this transformation to each vertex of triangle UVW we get

U(−1, 1) → U' = (1, 1)

V(0, −4) → V' = ( -4, 0)

W(−4, −1) → W' = (-1, 4)

Therefore the coordinates of the vertices for the image triangle U'V'W' are U′(1, 1), V′(−4, 0), W′(−1, 4)

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Answer:

B

Step-by-step explanation:

this will include all people and not just a specific group like all in a certain grade/s or all in the same class

Answer: break them up into parts

Step-by-step explanation: