It cost me $47.60 to fill my 14-gallon gas tank. What was the price of gas per gallon?
O $3.50 per gallon.
O $3.55 per gallon.
$3.60 per gallon.
$3.40 per gallon.
PLS HELP MEE

Answer:

She will get $21.58 back

Step-by-step explanation:

50 - 28.42 = 21.58

Hope this helps :)

Answer:

21.58

Step-by-step explanation:

50 - 28.42 = 21.58

Just subtract the two numbers to get the answer

Answer:

A Is False B Is True okayokayokay

The total number of passengers  = x  + y and total fare received by the conductor =  5 (X + 2Y) rs.

Given: X Passengers purchased tickets for Rs. 5 each, while Y Passengers purchased tickets for Rs. To determine: The total number of passengers and the conductor's total revenue. Calculation: = x + y total number of passengers.

Fare from X Passenger Received: 5X Rs

Fare from Y Passenger Received: 10Y Rs

The conductor's overall tip is equal to 5X plus 10Y. = 5(X + 2Y) Rs.

Hence, The total number of passengers  = x  + y and total fare received by the conductor =  5 (X + 2Y) rs.

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Answer:

the answer is D

Step-by-step explanation:

Answer:

D. AXF and BXE

Step-by-step explanation:

These angles are across from each other which makes them vertical angles.

The lateral surface area of the cylinder is 357.96\(cm^2\)

Now, According to the question:

In two-dimensional geometry, a cylinder has two circles as its bases so that both the bases are parallel and congruent.

In a cylinder, there is a lateral surface that is between the bases.

Let us suppose d is the diameter of the base of a cylinder, and h is the height of the cylinder then:

Radius of the cylinder (r) = \(\frac{d}{2}\)

Lateral surface area of the cylinder(S) = \(2\pi rh\)

Total surface area(A) = lateral area + total area of the bases

Given that the diameter of the above cylinder is 12cm, and the height of the cylinder is 3.5cm.

d = 12cm

and,

h = 3.5cm

Now the radius of the cylinder:

(r) = \(\frac{d}{2}\) = 12/2 = 6cm

Now the total surface area of the cylinder:

A = \(2\pi r(h +r)\)

A = \(2\pi (6)(3.5+6)\)

A = \(12\pi (9.5)\)

A = 114\(\pi\)

We use \(\pi\) = 3.14

A = 114(3.14)

A = 357.96\(cm^2\)

Hence, the lateral surface area of the cylinder is 357.96\(cm^2\)

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If the birth rate were to decline in a population, the growth curve would be affected as well. A decrease in the birth rate would cause the population growth to slow down, resulting in a change in the shape of the curve.

Initially, the exponential curve illustrates slow population growth, followed by a rapid increase over time. However, with a declining birth rate, the curve would likely transition into a logistic growth curve. This type of curve is characterized by an initial period of slow growth, followed by a phase of rapid growth, and eventually leveling off when the population reaches its carrying capacity or other limiting factors come into play.

The projections for the population growth would also be impacted by the decrease in the birth rate. Lower birth rates typically lead to slower growth rates, and in some cases, may even result in a population decline if the birth rate falls below the death rate. This change would be reflected in the updated projections for population growth over time.

In summary, if the birth rate were to decline in a population with an exponential growth curve, the curve would likely shift towards a logistic growth pattern, with slower overall growth and eventual leveling off. The projections for population growth would need to be adjusted to account for the changes caused by the reduced birth rate.

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Answer:

8-(2/x)

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

What is 20 percent (calculated percentage %) of number 700? Answer: 140.

Based on the information given, the bisected angle, quadrilateral, and congruent angles will be explained.

It should be noted that a quadrilateral simply means a closed shape that has four sides and four angles. These include square, rectangle, parallelogram, etc.

A bisected angle simply illustrates a line that splits an angle onto two equal angles.

Congruent segments are the segments that have the same length.

The diagrams are attached accordingly.

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The linear equation that represents the line that passes through the points (4,5) and (0,-3) is given by:

B. y = 2x - 3

A linear function is modeled by:

y = mx + b

In which:

The line passes through (0,-3), that is, when x = 0, y = -3, hence the y-intercept is of b = -3.

The slope is given by the change in y divided by the change in x, hence:

m = (5 - (-3))/(4 - 0) = 2

Hence the equation is:

y = 2x - 3.

Which means that option B is correct.

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\(\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

\(x + 6y = 12 \\ \\ \longrightarrow \: 6y = 12 - x \\ \\ \longrightarrow \: y = \frac{12 - x}{6} \)

hope helpful :-;

Welp to solve this for y we need to first get the x out of the road by relocating it to the right

\(6y=12-x\)

Now we divide by 6 both sides

\(y=\frac{12-x}{6}\)

, which is our answer

hope it helps have a great time learning!

The length of a telephone call made to a company is denoted by the continuous random variable T. It is modeled by the probability density function \(f(t) = 1/50t, 0 < t < 5\).

To calculate the probability that a telephone call will last more than 2 minutes,

we can integrate the probability density function from 2 to 5

since the density function is valid only for 0 < t < 5.

The probability of a telephone call lasting more than 2 minutes is given by:

\(∫f(t)dt from t = 2 to 5= ∫2/50t dt from t = 2 to 5= [2/50 ln|t|] from t = 2 to 5= (2/50 ln(5)) - (2/50 ln(2))= 0.0995 or 9.95%.\)

Hence, the probability that a telephone call will last more than 2 minutes is 9.95%.

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The required probability of a sum of 5 or sum of 7 and the first die shows a 3 or the sum of the result is 6 or 8 are 5/18 and 1/18 receptively.

Probability is just the way that logical something is to occur. Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions administered by likelihood is called statistics.

Two fair dice are thrown then the number of  possible way is 6×6 = 36

a) a sum of 5 or sum of 7 :-

The total possible way for dice occurs sum 5 or sum 7 is (1, 4), (2, 3), (3, 2), (4, 1), (1, 6), (2, 4), (3, 4), (4, 3), (5, 2), (6, 1).

So, the total number possible way for dice occurs sum 5 or sum 7 = 10.

Probability = 10/36 = 5/18

Hence, the probability is 5/18.

b) The first dice shows 3 or the sum of the result is 6 or 8 :-

As, first dice shows 3 we have fixed 3 in first dice or results sum is 6 or 8 then second dice possibilities only consist two number either 3 or 5,

So, total possible ways for first dice shows 3 or sum of result is 6 or 8 is (3, 3), (3, 5).

There are only two ways,

Therefore, probability = 2/36 = 1/18

Hence, the probability is 1/18.

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In the formula =if(a1=b1, c1, c2), the result will be c2 if; A does not equal B

The IF function is probably one of the most famous functions in Microsoft Excel. The "IF Function" normally allows us to make logical comparisons between a value and what we expect. This means that an IF statement can possibly have two results. The first result would be if your comparison is True, while the second result will be if your comparison is False.

Now, this means hat the IF function has 3 arguments namely;

From the above definitions when they are applied to the question, since a1 = b1, then we can say that the result can be c2 if A is not equal to B.

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Answer:

a

Step-by-step explanation:

The percent increase when \($x$\) increases by one unit is approximately 15.8%.

What is exponential function?

An exponential function is a mathematical function of the form:

\(f(x) = a^x\)

where a is a constant greater than zero and not equal to 1, and x is the variable that takes on real numbers.

To find the percent increase for the exponential function \($A = 82\times 1.16^x$\), we need to find the ratio of the final value to the initial value, subtract one, and then multiply by 100 to convert to a percentage.

Let's suppose we are interested in finding the percent increase when \($x$\) increases by one unit. We can start by calculating the initial value of \($A$\) when \($x = 0$\):

\($$A = 82 \times 1.16^0 = 82$$\)

Then we can calculate the final value of \($A$\) when \($x = 1$\):

\($$A = 82 \times 1.16^1 \approx 95.12$$\)

Now we can find the ratio of the final value to the initial value:

\($\text{ratio} = \frac{\text{final value}}{\text{initial value}} = \frac{95.12}{82} \approx 1.158$$\)

Next, we subtract one and multiply by 100 to get the percent increase:

\($$\text{percent increase} = (\text{ratio} - 1) \times 100 \approx (1.158 - 1) \times 100 \approx 15.8%$$\)

Therefore, the percent increase when \($x$\) increases by one unit is approximately 15.8%.

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Answer:

\( \tan(A + 45 \degree) - \tan(A - 45 \degree) \\ \\ = \frac{ \tan(A) + \tan(45 \degree) }{1 - \tan(A) \tan(45 \degree) } - \frac{ \tan(A) - \tan(45 \degree) }{1 + \tan(A) \tan(45 \degree) } \\ \\ \)

but tan 45° is 1;

\( = \frac{ \tan(A) }{1 - \tan(A) } - \frac{ \tan(A) }{1 + \tan(A) } \\ \\ \frac{\tan(A) + { \tan }^{3} A + \tan(A) - { \tan}^{3} A}{1 - { \tan }^{2} A } \\ \\ = (\frac{2 \tan(A) }{1 - { \tan }^{2} A}) \\ \\ = \frac{2 \sin(A) }{ \cos(A) } \times { \sec }^{2} A \\ \\ = \frac{2}{ \cos(2A) } \\ \\ = 2 \sec(2A) \)

Answer:

The answer is -11

Step-by-step explanation:

subtract 6 from both sides.

divide both sides by the negative 4

Simplify 44/-4x

which gives you x= -11

The bird is 55 ft above the ground

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Check the attached image for the drawing.

From the drawing:

sin 30° = x/100  (opposite/hypotenuse)

x = 100 * sin 30°

x = 50 ft

height of the bird above the ground = x + 5

height of the bird above the ground = 50 + 5 = 55 ft

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To evaluate the limit, we first need to substitute 0 for h in the expression 1 - sin(h). This gives us 1 - sin(0) = 1 - 0 = 1. Next, we need to substitute 0 for x in the expression 1 + cos(2x). This gives us 1 + cos(2(0)) = 1 + cos(0) = 1 + 1 = 2.

So, the given limit becomes: lim (h→0) (3+h) (1 - sin(h)) / (1 + cos(2x)) Substituting the values we found, we get: lim (h→0) (3+h) (1) / (2)

Simplifying further, we get: lim (h→0) (3+h) / 2 Now, we can try to evaluate the limit by substituting h = 0. This gives us: lim (h→0) (3+h) / 2 = 3/2

However, we need to also consider the limit as h approaches 0 from the negative side (-2 in this case). Substituting -2 for h in the expression 1 - sin(h), we get: 1 - sin(-2) = 1 + sin(2) ≈ 1.91

So, the limit from the negative side becomes: lim (h→0-) (3+h) (1 - sin(h)) / (1 + cos(2x)) ≈ -2.87

Since the limit from the negative side is not equal to the limit from the positive side (3/2), the overall limit does not exist.

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Answer:w

Step-by-step explanation:

Answer:

81/100=fraction

81%

81.

Step-by-step explanation:

that should be it

Answer:

8x

Step-by-step explanation:

8x

The arclength of the curve (e* +e-*) from -1 to 1 is 2(2 arccosh(2) - √3).

The problem requires finding the arclength of the curve (e* +e-*) from -1 to 1.

The arclength of the curve is given by the formula:

L = ∫√(1+(dy/dx)²) dx

To find dy/dx, we differentiate the curve (e* +e-*) with respect to x:

dy/dx = d/dx(e* +e-*) = e^x - e^(-x)

Now, we substitute this into the arclength formula and integrate from -1 to 1:

L = ∫(-1)^1 √(1+(e^x - e^(-x))²) dx

We can simplify the integrand using the identity (a-b)² = a² - 2ab + b²:

L = ∫(-1)^1 √(2 + 2e^(2x) - 2e^(-2x)) dx

= ∫(-1)^1 √(4(e^(2x) + e^(-2x)) - 4) dx

= 2 ∫0^1 √(e^(2x) + e^(-2x) - 1) dx

Next, we make the substitution u = e^x + e^(-x), du/dx = e^x - e^(-x), and simplify:

L = 2 ∫2^2 √(u² - 1) du/u

= 2 ∫arccosh(u) du

= 2(u arccosh(u) - √(u² - 1))|2^2

= 2(2 arccosh(2) - √3)

Therefore, the arclength of the curve (e* +e-*) from -1 to 1 is 2(2 arccosh(2) - √3).

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Answer:

human suffering or injured humans

Step-by-step explanation:

Answer:

Jason is training for a triathlon and needs to swim a certain distance for ... If he swims at the rec center pool, he will complete a 200-yard warmup and then swim laps in a lane that is 20 yards long. If Jason swims at the indoor pool at his gym, he will complete a ... How long will Jason's workout be in total? 1.

Step-by-step explanation:

Step-by-step explanation:

I guess, this expression really is

-9k² + 6k² - 7k² - 5k² + -8k² + -2k²

remember : all terms with the same base reference (either a number or a variable with the same exponent, or a function ...) can be combined.

all the terms in this expression are about k². so we can combine them all

k² × (-9 + 6 - 7 - 5 - 8 - 2) =

k² × -25 or simply -25k²

always also remember the rules of combining signs and operations :

++ = +

+- = -

-+ = -

-- = +