A gasoline pump fills an automobile tank at the rate of .7 gallon every 2 seconds. At this rate, how long would it take to fill a 28- gallon tank?
Help!!

The area of the trapezoid ABCD in square inches would be = 80in² . That is option B.

The formula that can be used to calculate the area of the trapezium = ½ (a+b) ×h

Where a = line ED = 14

b = line AD = 14+4 = 18

height = area of rectangle / width

= 70/14 = 5in

Therefore the area of trapezium ;

= 1/2 ( 14+18)× 5

= 160/2

= 80in²

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y = x+9 because the y-intercept of the function represented by the table is 5.

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Explanation:

Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.

m = (y2-y1)/(x2-x1)

m = (13-9)/(4-2)

m = 4/2

m = 2

The slope is 2.

Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b

y = mx+b

y = 2x+b

9 = 2*2+b

9 = 4+b

9-4 = b

5 = b

b = 5

The equation for the table is y = 2x+5

We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.

Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.

Let's begin by listing out the information given to us:

The general formula for growth or decay is given by:

y = ab^x

For growth: b = 1 + r

For decay: b = 1 - r

1.

y = ⅓(4^x)

When we compare this equation with the general formula, we will see that

The feature that distinguishes the growth from decay is the value of b, whether it is 1 + r for growth or 1 - r for decay

Answer:

See attached

Step-by-step explanation:

Solution is in the picture

Answer:

The Shark

Step-by-step explanation:

If a shark can swim 4 kilometers in 1/10 of an hour and a blue whale can swim 5 kilometers in 1/4 of an hour then we can multiply 5 kilometers by 4 and 4 kilometers by 5 then we get both of them have travled 20 kilometers. Then we multiply 1/10 by 5 and 1/4 by 4 and we get that the shark travled 20 kilometers in 5/10 of an hour (or half an hour) and the blue whale travled 20 kilometers in 1 1/4 of an hour (or 1 hour and 15 minutes)

As per the given total random translational kinetic energy, then container or the pool 's highest temperature is 772.62J

The term kinetic energy is defined as the energy of motion, observable as the movement of an object or subatomic particle.

Here we have given that the total random translational kinetic energy of the water molecules in a 20-l container is 4.8 x 10⁶ j; the total random translational kinetic energy of the water molecules in a 360000-l swimming pool is 7.3 x 10¹⁰ j.

Now, the highest temperature is calculated as,

=> K=3/2nRT

Now, we have to use the following rule, then we get

=> PV = nRT

Here we know that the value of P is 1.01 x 10⁵ and the value of V is 5.1 x 10⁻³, then as per the given equation. it can be written as,

Here we simply put the value of PV/RT as n, then we get

=> K=3/2(PV/RT)(RT)

Therefore, K=3/2 PV getting the value as 772.62J.

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Step-by-step explanation:

the volume of a cylinder is as for any regular shaped object

ground area × height

here the ground area is a circle, so we get

pi×r²×h

with r being the radius (half the diameter), and h the height.

therefore,

pi×(2.7/2)²×10 = 3.14×1.8225×10 = 57.25552611... cm³

so, the first option is correct.

the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.

A force applied across a distance is what is referred to as work.

In this problem,

the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft).

Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.Work is a force applied across a distance, and it is measured in a unit of energy called foot-pounds. In this problem, the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft). Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done. This means that 500 ft-lb of energy must be expended in order to move the cable 100 ft. This energy can be provided by a variety of sources, such as human labor, a motor, or some other mechanism.

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Answer:

The choose D. 6.48x10'-3

I hope I helped you^_^

Answer: i think its D.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

to find the range you must find the biggest number and the smallest number then subtract-

and in your case, the smallest number is 0 and the largest is 9

9-0

=9

**next time try using alcula.com, it'll save you the points**

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Tree Diagram

Of all the participants in the study, 80% received medication A (M) and 20% received the placebo (P).

The first branches of the tree diagram are:

Of those who received the placebo, 62% reported no improvement (NI), thus 38% reported improvement (I). We complete the lower branch with this information. The upper branch is not important for this question.

We want to calculate the probability of randomly selecting a participant that received a placebo and reported improvement.

We take the bottom path and determine the probability:

P = 20% × 38%

P = 0.20% × 0.38

P = 0.076

P = 7.6%

The probability of of a random student having blue eyes and dark hair

 is 35% .

let consider the total students in the school be (U) = 100%

out of them ,

students having blue eyes (A) = 60%

students having  dark hair (B) = 55%

students with neither blue eyes nor dark hair (A∪B)' = 20%

let the students with blue eyes and dark hair be (A∩B) = x %

Then according to the set theorem

U = n(A∪B) + n(A∪B)'

U = n(A) + n(B) - n(A∩B) + n(A∪B)'

100 = 60 + 55 - x +20

∴ x = 60 + 55 +20 - 100

x = 35 %

So the probability of random student having blue eyes and dark hair is 35% .

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Answer:

24

Step-by-step explanation:

Answer:

C. 20

Step-by-step explanation:

To find out how many students per teacher, we can divide the total number of students by the total number of teachers:

240 students / 12 teachers = 20 students per teacher.

Therefore, the answer is C. 20.

The number -7 is less compared to the number -4, the number -4 is greater than the number -7.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

As we know, a number is a mathematical entity that can be used to count, measure, or name things.

For example, 1, 2, 56, etc. are the numbers.

It is given that:

Two numbers are -4 and -7

First plot the above numbers on a number line:

If we go left side of zero on a number line the numbers start to decrease.

If we go right side of zero on a number line the numbers start to increase.

The number -7 comes first from the left side and then the number -4

-7 < -4  Or

-4 > -7

Thus, the number -7 is less compared to the number -4, the number -4 is greater than the number -7.

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Answer:

this will help you

thanks

Using quadratic function concepts, it is found that the statement is false.

\(f(x) = ax^2 + bx + c\)

The discriminant is:

\(\Delta = b^2 - 4ac\).

Additionally, it will have two solutions that are negatives of one another when coefficient b is 0, as:

\(ax^2 + c = 0\)

\(ax^2 = -c\)

\(x^2 = -\frac{c}{a}\)

\(x = \pm \sqrt{-\frac{c}{a}}\)

Hence it is not related to the discriminant, and the statement is false.

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Answer:

π /2

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

-16+11=-5 that's it lol

Answer:

m= -16

Step-by-step explanation:

subtract 11 from both sides

-5 - 11 =m + 11 - 11

combine like terms (-5 - 11 and 11 - 11)

m= -16

Answer:

Its a - Isosceles Right Triangle -

Step-by-step explanation:

It has two equal length sides and is a right triangle

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Answer:

9.36

Step-by-step explanation:

26% of 36 is what number

Change the percent to decimal form

.26 * 36 = 9.36

Answer:

9.36

Step-by-step explanation:

26% of 36

= \(\frac{26}{100}\) × 36

= 0.26 × 36

= 9.36

Answer:

6

Step-by-step explanation:

divide 4 and 24

Answer:

In my guess I'll go for Slope = \(-\frac{4}{5}\)  y-intercept = 10

Answer:

Step-by-step explanation:

Use midpoint formula to find the coordinates of the other end point:

Answer:

  (x, y) = (1, 4)

Step-by-step explanation:

You want the solution to the equation (x²-2x+1)⁷⁷ +(3x-2y+5)⁸⁸ = 0​.

The first term can be rewritten as ...

  \((x^2-2x+1)^{77}=((x-1)^2)^{77}=(x-1)^{154}\)

This means both of the terms are being raised to even powers. Any non-zero value of the base expression will result in a positive value for the term. That is, each term is non-negative.

The sum of two non-negative terms will be zero if and only if each of the terms individually is zero. That means the equation resolves to two equations:

The solution to the first equation is x=1. Using this value in the second equation, it becomes ...

  3 -2y +5 = 0

  8 = 2y . . . . . . . . add 2y

  4 = y . . . . . . . divide by 2

The values of x and y that will make the equation true are ...

  (x, y) = (1, 4)