The number of gallons of water,y, in a swimming pool is modeled by the equation y=7.5x+500,where x represents the time in minutes after the pump is turned on. How many gallons of water are in the pool if the pump is on for 200 minutes.

The answer to this question is (B)

Answer: The answer is B line

Step-by-step explanation:

The answer is 750 people visited the natural history musem Friday night.

Answer:

$595.53

Step-by-step explanation:

o-ware

Final answer:

To find the fox population after 28 years, we use the function y = 55 × 2^x, with x = 2 because 28 years is two 14-year periods. After calculating 2^2 and multiplying by 55, we find that there will be 220 foxes.

Explanation:

To calculate the number of foxes in a wildlife preserve after 28 years, given that the population doubles every 14 years, we start with the function y = 55 × 2^x, where x represents the number of 14-year periods.

Since 28 years is equivalent to 2 periods of 14 years, we will substitute x with 2:

Therefore, after 28 years, there will be 220 foxes in the wildlife preserve.

The probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).

According to the question, at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.

At random 11 candidates are selected from the college so, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is-

[tex](0.65)^{11}=0.00875\\(0.65)^{11}\approx0.009[/tex]

Hence, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).

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It was triangle 4 for my answer. You have different measurements but im sure its possibly the same answer. hope this helps!

The set of all possible outcomes of a probability experiment is called the sample space. It can be represented as a list, a table, or using set notation.

The set of all possible outcomes of a probability experiment is called the sample space. It is denoted by the symbol Ω. The sample space can be represented as a list, a table, or using set notation.

For example, if we are flipping a fair coin, the sample space would be {H, T}, where H represents heads and T represents tails.

In another example, if we were rolling a fair six-sided die, the sample space would be {1, 2, 3, 4, 5, 6}.

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Answer: the answer would be 36:45

Step-by-step explanation: Hope this helps please bore brainlyiest est.

Answer:

A. X < 3.

Step-by-step explanation:

We have the equation, [tex]3 + \frac{x-2}{x-3} \leq 4[/tex]

Adding -4 on both sides, we get,

[tex]\frac{x-2}{x-3} -1 \leq 0[/tex]

i.e. [tex]\frac{x-2-x+3}{x-3} \leq 0[/tex]

i.e. [tex]\frac{1}{x-3} \leq 0[/tex]

So, we have the inequality [tex]\frac{1}{x-3} \leq 0[/tex].

Its critical points are given by  x-3 = 0 which implies x = 3.

Now, we will find the region among the two [tex]( - \infty , 3 )[/tex] and [tex]( 3 , \infty )[/tex] that satisfies the inequality [tex]\frac{x-2}{x-3} -1 \leq 0[/tex]

Substitute x = 2 in the above inequality, we get -1 < 0, which is true. Again, substitute x=4 gives 1 < 0, which is false.

As x=4 lie in the region  [tex]( 3 , \infty )[/tex] , it cannot be the solution of the given inequality.

So, the solution of the given inequality is the region [tex]( - \infty , 3 )[/tex] .i.e. x < 3.

Hence. option A is correct.

Answer:

[tex]m<C=62\°[/tex]

Step-by-step explanation:

we know that

In an inscribed quadrilateral opposite angles are supplementary

so

In this problem

[tex]m<D+m<B=180\°[/tex]

[tex]m<C+m<A=180\°[/tex]

step 1

Find the value of x

[tex]m<D+m<B=180\°[/tex]

substitute the values and solve for x

[tex](x+20)\°+(3x)\°=180\°[/tex]

[tex]4x=180\°-20\°[/tex]

[tex]x=160\°/4=40\°[/tex]

step 2

Find the measure of angle A

[tex]m<A=(2x+38)\°=2(40\°)+38\°=118\°[/tex]

step 3

Find the measure of angle C

[tex]m<C+m<A=180\°[/tex]

substitute the values and solve for m<C

[tex]m<C+118\°=180\°[/tex]

[tex]m<C=180\°-118\°=62\°[/tex]

The value of the given expression m∠a + m∠c is 233 degrees and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the value of the given expression:

Step 1 - The sum of interior angles of the quadrilateral is 360 degrees.

Step 2 - According to the given data, angle B is 95 degrees and angle D is 32 degrees.

Step 3 - So, the value of the given expression can be calculated as:

[tex]\angle A+\angle B+\angle C+\angle D = 360[/tex]

[tex]\angle A+95+\angle C+32 = 360[/tex]

Step 4 - Simplify the above expression.

[tex]\angle A+\angle C = 360-95-32[/tex]

[tex]\angle A+\angle C = 233[/tex]

Therefore, the correct option is D).

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The percentage decrease is approximately -2.4%.

To find the percentage decrease in price, we can use the formula:

Percentage decrease = ((New price - Old price) / Old price) * 100

Using the given information, we substitute the values into the formula:

Percentage decrease = ((2.81 - 2.88) / 2.88) * 100

Simplifying the expression, we get:

Percentage decrease = (-0.07 / 2.88) * 100

Converting to a decimal and multiplying by 100, we find:

Percentage decrease = -0.0243 * 100 = -2.43%

Rounding to the nearest tenth of a percent, the percentage decrease is approximately -2.4%.

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Answer:

The graph is shifted left 6 units

Step-by-step explanation:

Hope this helps all in need~!! :3 Have a wonderful day, and remember- You're the best! No one does you quite like you do<3

Answer:

The equation is 20x = 1200

x=1200÷20

x=60 rows

Step-by-step explanation: