When the swimmers first arrived at the pool, the temperature of the water was only 72.5 degrees. By the time the first race started, the temperature had gone up 5.6 degrees. What was the temperature of the water when the first race started?

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Answer:

7 people need to work at a rate of 10 calls per hour.

Step-by-step explanation:

   If the number of people working increases, the number of calls per hour will decrease.

Let x be the number of people working and y be the number of calls per hour.

  x₁ = 5 people ; y₁ = 14 calls per hour

x₂ = 7 people ; y₂ = ?

     By inverse product rule,

                x₁ * y₁ = x₂ * y₂

                5 * 14 = 7 * y₂

                       \(\sf y_2=\dfrac{5*14}{7}\)

                            = 5*2

                            = 10

7 people need to work at a rate of 10 calls per hour.

Answer:

10= 13

11=-2

12=5

Step-by-step explanation:

6 X 3 -5= 13

1X3-5=-2

5X3 -5= 10

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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The two equations of a system that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.

A group of two or more equations that must be solved all at once is known as a system of equations. The objective is to determine the values of the variables that make both equations true in a system of two equations with two variables. These numbers represent the system of equations' answer. There are several ways to solve a system of equations, including substitution, elimination, and graphing. They are used to simulate and resolve issues in many branches of mathematics, science, engineering, and other disciplines.

Let us suppose the age of Celine = x.

Let us suppose the age of Cindy = y.

Given that, Celine is 6 years younger than her sister Cindy.

x = y - 6

She is also one third as old as Cindy.

x = 1/3y or y = 3x.

Substitute the value of y in equation 1:

x = 3x - 6

6 = 2x

x = 3

Substitute the value of x:

y = 3(3) = 9

Hence, the two equations that can be used to find the ages of  both girls are y - x = 6 and 3x - y = 0.

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Answer:

4

Step-by-step explanation:

The \(x\) intercept is where \(y=0\).

\(6x-3(0)=24 \\ \\ 6x=24 \\ \\ x=4\)

Answer:

d.5/6

Step-by-step explanation:

2/3÷4/5

2/3×5/4

5/6

Answer:

2/3÷ 4/5 is 5/6

.

Step-by-step explanation:

Answer:

There is nothing here. But talk to me in the comments and i will help in anyway i can.

Step-by-step explanation:

The coefficient is  4/3

No picture/Question.

The data table that will correctly represent the data shown on the stem-and-leaf plot will have the values:

To find out a variable in a stem and leaf plot, take the stem and combine it with a leaf to get a single variable.

For instance, taking the 0 stem and the 2 leaf would give 02 which is 2. Taking the 0 stem again and joining it with the 6 leaf would give 06 which is 6.

In the same vein, do the rest and data on the average life expectancy of various pets will come out as:

= 2, 6, 11, 13, 15, 25, 31, 40, and 51

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Answer: its A

Step-by-step explanation:

i just took the test

According to given fraction values, Harry used 4 gallons of paint in total.

What is fraction?

A fraction is a way of representing a part of a whole or a ratio of two numbers. It consists of a numerator (top number) and a denominator (bottom number) separated by a horizontal line.

To find the total amount of paint Harry used, we need to add the amount of paint he used for the living room and the amount of paint he used for his bedroom. We have:

2 1/4 gallons + 1 3/4 gallons

To add these two mixed numbers, we need to find a common denominator. The smallest common denominator of 4 and 4 is 4. So we can rewrite the mixed numbers as improper fractions:

2 1/4 = 9/4

1 3/4 = 7/4

Now we can add the two fractions:

9/4 + 7/4 = 16/4

Simplifying the fraction, we get:

16/4 = 4

Therefore, Harry used 4 gallons of paint in total.

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Answer: 50 miles

Step-by-step explanation:

75 miles in one and half hours.

That's 25 miles per half hour

So, in 1 hour, he will drive 50 miles

Step-by-step explanation:

the volume of the prism is

length × width × height = 72 in³

the volume of a pyramid is

length × width × height / 3

with the same sizes this means the volume of the pyramid is the volume of the prism / 3 = 72/3 = 24 in³

AE= 17.4 to nearest tenth

Step-by-step explanation:

Opposite + hypotenuse = SOH / sin

Sin 31 = 6/h

xh, then ÷ sin31

H= 6/sin31

H= 11.649....(a or b & 6 being a or b)

a^2 + b^2 = c^2

c = 13.1

Actually it's not a right-angle triangle

180 - 13+31 (or 44) = 136 degrees

Cosine rule: a^2=b^2+c^2 - 2bc cosA

AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136

= 17.3791......

AE= 17.4 to nearest tenth

Hope this helps!

1. m + 0.2m (Increase/Decrease/Niether ]

2. m - 0.2m (Increase/Decrease/Niether )

3. m -0.2 [Increase/Decrease/Niether]

4. 1.2m ( Increase/Decrease/Niether]

5. 0.8m ( Increase/Decrease/Niether)

6. m + 0.2 [ Increase/Decrease/Niether]​

Positive numbers or higher than 1 show an increase

Negative numbers or lower than 1 show a decrease

Answer:

0.647 = 64.7% probability that none of them has lost electricity in his/her household

Step-by-step explanation:

For each household, there are only two possible outcomes. Either they lost electricity, or they did not. The probability of a household losing electricity is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.

This means that \(p = 0.07\)

6 members

This means that \(n = 6\)

What is the probability that none of them has lost electricity in his/her household?

This is P(X = 0). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{6,0}.(0.07)^{0}.(0.93)^{6} = 0.647\)

0.647 = 64.7% probability that none of them has lost electricity in his/her household

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

2.5

Step-by-step explanation:

We have that the standardized mortality ratio (SMR) is the relationship between the number of deaths observed in a year, that is, those that occurred and the number of expected deaths, that is, those that were predicted.

SMR = observed / expected

therefore if we replace we have:

SMR = 4500/1800

SMR = 2.5

Which means that the standardized mortality ratio (SMR) is 2.5

Answer:

\( 190.091 \: {cm}^{2} \)

Step-by-step explanation:

Area of the semicircle

\( = \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} \times 3.142 \times {11}^{2} \\ \\ = \frac{1}{2} \times 3.142 \times 121 \\ \\ = \frac{1}{2} \times 380.182 \\ \\ = 190.091 \: {cm}^{2} \)

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

4221 birhs

Step-by-step explanation:

. Find the mean number of births per day, then use that result to find the probability that in a day, there are 15 births.

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

Answer:

9 for $9.95

Step-by-step explanation:

Answer: 5 cm

Step-by-step explanation:

The diagonals of a rhombus bisect each other in half

PO = OR = 4 cm

So. PR = 8 cm

Similarly,

SO = OQ = 3 cm

So, SQ = 6 cm

To measure side, formula is

a = √p^2 + q^2 / 2

a = √6^2 + 8^2 / 2

a = √36+64 / 2

a = √100 / 2

a = 10/2 = 5 cm

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

\(D = 512^\circ\)

Step-by-step explanation:

Given

\(Tin=231^\circ\)

\(Oxygen=-218^\circ\)

Required

The difference in their melting points

This is calculated as:

\(D = |Oxygen - Tin|\)

\(D = |-281^\circ - 231^\circ|\)

\(D = |-512^\circ|\)

\(D = 512^\circ\)

The difference is 512 degrees

Answer: 5/2

Step-by-step explanation:

49 - 42/ 14 - 12