Jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature?
–40
–20
20
40

Answer:

(-∞,3/2),{xIx<3/2}

Step-by-step explanation:

Using inverse function concepts, the correct option is:

B. Domain: x < -2 Range: y> 3

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in

here, we have,

we know that,

The domain of a function is the set that contains all possible input values.

The range of a function is the set that contains all possible output values.

In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.

For the original function, the domain is x > 3 and the range is y < -2.

Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.

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Complete question:

The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?

A. Domain: x>3 Range: y2 -2

B. Domain: x2 -2 Range: y> 3

C. Domain: x>-2 Range: y> 3

D. Domain: x2 3 Range: y> -2 ​

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

Answer:

1. y = 2x + 7

Step-by-step explanation:

The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).

Answer:

B the answer with 1.6985

Step-by-step explanation:

did it on graphing calc

The solution of the inequality is [0, 1.699].

We will graph y=cos(0.65x)-0.45 using a calculator. Image 1.

Then we draw the boundary x=0 and x=\(2\pi\) on the same graph. And we try to find where y>0 on that graph. Image 2.

From the graph we see that y>0 that means cos(0.65x) > 0.45 is over the interval [0, 1.699].

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in order to calculate the descriptive statistics for the points scored by the team at home in 2013-2015, the mean, median, variance and standard deviation must be calculated using the appropriate formulas.

Descriptive Statistics

Mean: This is a measure of the center of the distribution, calculated as the sum of all values divided by the number of values. In this case, it is the average number of points scored by the team at home in 2013-2015. Formula: Mean = (Sum of all values)/(Number of values).

Median: This is the middle value of the data set after it is sorted in numerical order. It is the value that separates the upper half of the data set from the lower half. In this case, it is the middle value of the points scored by the team at home in 2013-2015. Formula: Median = (Sum of the lower and upper halves of the data set)/2.

Variance: This is a measure of how spread out the data set is, calculated as the sum of the squared differences between each value and the mean, divided by the number of values. In this case, it is the variance of the points scored by the team at home in 2013-2015. Formula: Variance = (Sum of the squared differences between each value and the mean)/(Number of values).

Standard Deviation: This is a measure of how spread out the data set is, calculated as the square root of the variance. In this case, it is the standard deviation of the points scored by the team at home in 2013-2015. Formula: Standard Deviation = Square Root of Variance.

Therefore, in order to calculate the descriptive statistics for the points scored by the team at home in 2013-2015, the mean, median, variance and standard deviation must be calculated using the appropriate formulas.

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Answer:

2

Step-by-step explanation:

To evaluate the expression substitute t = 4 into the expression, that is

8/t = 8/4 =2

Answer:8/2=4

Step-by-step explanation:

Answer:

x=9/8

Step-by-step explanation:

Answer: q=13

Step-by-step explanation:

add the separate the q, add 4 to the 9= 13

13=q

Answer:

1200

Step-by-step explanation:

40 x 30=1200

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer:

A

Step-by-step explanation:

Repeating decimals can be expressed as the ratio of two integers (using the formula for an infinite geometric series), making them rational.

Number 0.23232323..... is rational number.

Option A is true.

We have to check which number is Rational.

What is Rational and Irrational number?

Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., A/B and B≠0) and irrational numbers cannot be expressed as a fraction.

Now,

In Option A,

0.232323..... is repeating decimal.

And, Repeating decimal can be expressed as a ratio of two integers.

Hence, it can be a Rational number.

In Option B,

0.23252526.... is non repeating number which cannot be written as a fraction.

In option C and D,

Both are written in square root with no square number.

Hence, both are irrational number.

So, Number 0.23232323..... is rational number.

Option A is true.

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The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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The cinnamon costs $9.60 per pound.

We have,

To find the cost of cinnamon per pound, we need to first calculate the cost of 1 ounce of cinnamon and then convert it to the cost per pound.

Sally paid $2.40 for 4 ounces of cinnamon, so the cost of 1 ounce is:

= $2.40 / 4

= $0.60

Now, we need to find the cost per pound.

Since there are 16 ounces in 1 pound, we can multiply the cost of 1 ounce by 16 to get the cost per pound:

= $0.60 * 16

= $9.60

Thus,

The cinnamon costs $9.60 per pound.

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Answer:

All of the above

Step-by-step explanation:

Answer:ssa also it is known as c

Step-by-step explanation:

Tamara should expect the sum of the two cubes to be equal to 7 around 30 times when rolling the two number cubes 180 times.

To determine how many times Tamara should expect the sum of the two number cubes to be equal to a certain value, we need to analyze the chart and calculate the probabilities.

Let's examine the chart and count the number of times each sum occurs:

Sum: 2, Occurrences: 1

Sum: 3, Occurrences: 2

Sum: 4, Occurrences: 3

Sum: 5, Occurrences: 4

Sum: 6, Occurrences: 5

Sum: 7, Occurrences: 6

Sum: 8, Occurrences: 5

Sum: 9, Occurrences: 4

Sum: 10, Occurrences: 3

Sum: 11, Occurrences: 2

Sum: 12, Occurrences: 1

Now, let's calculate the probabilities of each sum occurring.

Since there are 36 possible combinations when rolling two number cubes, the probability of each sum is the number of occurrences divided by 36:

Probability of sum 2 = 1/36

Probability of sum 3 = 2/36

Probability of sum 4 = 3/36

Probability of sum 5 = 4/36

Probability of sum 6 = 5/36

Probability of sum 7 = 6/36

Probability of sum 8 = 5/36

Probability of sum 9 = 4/36

Probability of sum 10 = 3/36

Probability of sum 11 = 2/36

Probability of sum 12 = 1/36

To find out how many times Tamara should expect a certain sum when rolling the two number cubes 180 times, we can multiply the probability of that sum by 180.

For example, to find the expected number of times the sum is 7:

Expected occurrences of sum 7 = (6/36) \(\times\) 180 = 30

Similarly, we can calculate the expected occurrences for all other sums.

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Answer:

answers below :)

Step-by-step explanation:

Hi there!

with a ratio of 1:1.6, we can find these answers.

1. 19.2 km, multiply 12 by 1.6

2. 96. km, multiply 12 by 6 to find the total amount of miles traveled, then

multiply 60 by 1.6 to get 96.

I hope this helps!

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

False

Step-by-step explanation:

Converting

\( converting \: \frac{2}{3} \: to \: decimal \\ \frac{2}{3 } = 0.6666666 .....\)

\(converting \: \frac{5}{12} \: to \: decimal \\ \frac{5}{12} = 0.4166666....\)

\(therefore \: \frac{2}{3} > \: \frac{5}{12} \\ because \: 0.66666... > 041666...\)

Answer:

Green = 13.5 ft²

Blue = 42 in²

Step-by-step explanation:

Green: 6+3=9

9÷2=4.5

4.5x3=13.5

Blue: 8+13=21

21÷ 2=10.5

10.5x4=42

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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Given:

a.) 52 cars in 4 hours.

Let's determine how many cars did they wash in 9 hours​ using ratios and proportions.

We get,

Therefore, they can wash 117 cars in 9 hours.

The graph of the solution to this inequality is: C. number line with an open circle plotted at negative eight and arrow pointing left.

A number line simply refers to a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

Next, we would solve the given inequality as follows:

−0.4b + 2.4 < 5.6

Subtracting 2.4 from both sides, we have:

−0.4b + 2.4 - 2.4 < 5.6 - 2.4

−0.4b < 5.6 - 2.4

−0.4b < 3.2

Dividing both sides by -0.4, we have:

b < -3.2/0.4

b < -8

In conclusion, the circle on a number line should be open and would point to the left when the inequality symbol is <.

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The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

0.2333 = 23.33% probability he passes exactly one test

Step-by-step explanation:

We have these following probabilities:

3/4 probability that he passes the first test.

If he passes the first test, 4/5 probability that he passes the math test.

If he does not pass the first test, 1/3 probability that he passes the math test.

What is the probability he passes exactly one test

Two scenarios:

Pass first(3/4 probability) and fails second(1/5 probability).

Fails first(1/4 probability) and passes second(1/3 probability). So

\(p = \frac{3}{4}*\frac{1}{5} + \frac{1}{4}*\frac{1}{3} = \frac{3}{20} + \frac{1}{12} = \frac{9 + 5}{60} = \frac{14}{60} = 0.2333\)

0.2333 = 23.33% probability he passes exactly one test

The linear equation that shows how the wind power would need to grow to make this goal is y = 25x + 15

From the question, we have the following parameters that can be used in our computation:

(x, y) = (0, 15) and (5, 90)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 15

Using the other point, we have

5m + 15 = 90

So, we have

5m = 75

Divide by 5

m = 25

So, the equation becomes

y = 25x + 15

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Complete question

Using the two data points from Exercises 1 and 2, write a linear equation that shows how the wind power would need to grow to make this goal. Use years for the independent variable and terawatt hours for the dependent variable. Let year 0 represent year 2012, (0, 15) and (5, 90)

Answer:

Step-by-step explanation:

x = 127

y = 5

z = 31