At work Bret must check and record the internal temperature of the freezer on an hourly basis when working properly the temperature should remain constant over time.What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly

Answer:

$5.55

Step-by-step explanation:

Answer:

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = - 120\)

Step-by-step explanation:

By the rule of Integer multiplications,

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = [ (-1) \times (-2) ] \times [(-3) \times (-4)] \times (-5)\)

                                                      \(= [2] \times [12] \times (-5)\)

                                                      \(= -120\)

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The simplified expressions are:

1. (3a - 4)³ = 9a³ - 36a² + 144a - 64

2. (3 - a)³ = -a³ + 9a² - 27a + 27

We are given two  mathematical expressions. The expressions are algebraic. Each expression contains two terms. The expressions are binomial. Let the first and second expressions be denoted by the variables "E1" and "E2", respectively. The identity is given below.

(a - b)³ = a³ - b³ + 3ab² - 3a²b

We have to simplify the expressions. We will use the identity of cubic to expand the given expressions. The expressions are given below.

We will first simplify the first expression.

E1 = (3a - 4)³

E1 = (3a)³ - (4)³ + 3(3a)(4)² - 3(3a)²(4)

E1 = 9a³ - 64 + 144a - 36a²

E1 = 9a³ - 36a² + 144a - 64

We will now simplify the second expression.

E2 = (3 - a)³

E2 = 3³ - a³ + 3(3)(a)² - 3(3)²(a)

E2 = 27 - a³ + 9a² - 27a

E2 = -a³ + 9a² - 27a + 27

Hence, both expressions are simplified.

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The length of the straw is equal to the length of the space diagonal of  rectangular box, that is 11.6 inches.

The length of the straw is equal to the space diagonal of the rectangular box. Space diagonals are three-dimensional diagonals.

If the length of the sides of the box is a, b, and c, then the space diagonal can be computed by applying the Pythagorean Theorem.

D = √(a² + b² + c²)

Substitute the following dimensions:

a = 10 inches

b = 3 inches

c = 5 inches

Then,

D = √(10² + 3² + 5²)

D = √(100 + 9 + 25)

D = √134 = 11.6 inches

Hence, the length of the straw is 11.6 inches.

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Answer:

choice b is correct

The volume of the right triangular prism is 112 cubic centimeters (cm^3).

To find the volume of a right triangular prism, we need to multiply the area of the triangular base by the height of the prism.

In this case, we have:

The base of the triangular prism has a width of 4 cm and a height of 4 cm, so its area is (1/2) x 7 cm x 4 cm = 14 cm^2.

The height of the triangular prism is 8 cm.

Therefore, the volume of the triangular prism is:

Volume = Base area x Height

Volume = 14 cm^2 x 8 cm

Volume = 112 cm^3

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The interval is from -10 to 8 on the number line.

What is a number line?

A horizontal line with uniformly spaced numerical increments is called a number line. How the number on the line can be answered will depend on the numbers that are provided. How a number is used, such as when graphing a point, depends on the question that goes with it.

What are negative numbers?

A negative number in mathematics represents the reverse. A negative number is any number that is less than zero in the real number system. Negative numbers are frequently used to indicate how great a loss or a shortage is.

in the given number line, we can observe that all the numbers from -10 to 8  are -8,-6,-2,0,2,4, and 6 (including -10 and 8).

thus the interval is from -10 to 8,

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Answer:

30 and 21

Step-by-step explanation:

Answer:

10*4-50 = -10

Step-by-step explanation:

If p equals 4 the answer is -10.

Answer:

C. Neither

Step-by-step explanation:

Answer:

nolo se

Step-by-step explanation:

Answer:

Any time you take a binomial and multiply it to itself, you end up with a perfect square trinomial. For example, take the binomial (x + 2) and multiply it by itself (x + 2). The result is a perfect square trinomial.

The predicted population would be 5,250,00 in the year 2011.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

The population in Austin is growing at a rate of 5% per year in 2010 the population was 500,000.

The exponential function for the prediction of the population can be written as:

ABˣ

Where A represents the population in 2010, B is a growth factor, and x is the year

As per the question, we have

(500,000)(1.05)¹

5,250,00

This is the predicted population in the year 2011.

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The question seems to be incomplete the correct question would be:

The population in Austin is growing at a rate of 5% per year in 2010 the population was 500,000. what would be the predicted population year in 2011?

Approximately 68.27% of newborn babies in the U.S. will have a birth weight between 6 lbs and 8 lbs.

In a normal distribution, about 68% of the data falls within one standard deviation of the mean. Given that the mean birth weight is 6.8 lbs and the standard deviation is 1.7 lbs, we can calculate the z-scores for the lower and upper limits of the desired range.

To find the z-score for 6 lbs, we subtract the mean from 6 and divide by the standard deviation: (6 - 6.8) / 1.7 = -0.47. Similarly, for 8 lbs, the z-score is (8 - 6.8) / 1.7 = 0.71.

Using the standard normal distribution table or a calculator, we can find the proportion of newborns with birth weights below 6 lbs (to the left of -0.47) and above 8 lbs (to the right of 0.71). Subtracting these proportions from 1 gives us the proportion between 6 lbs and 8 lbs.

Since the standard normal distribution is symmetric, the proportion of newborn babies with birth weights between 6 lbs and 8 lbs is approximately 0.6827, or 68.27%.

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Answer:

A lower price and quantity would result.

Answer:

28.5714%

Step-by-step explanation:

6 kids who play basketball, they could play baseball as well.

Answer:

Therefore, the measure of ∠x is 33 degrees.

Step-by-step explanation:

As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:

∠R + ∠x = 90 degrees

Substituting the given values, we get:

57 + ∠x = 90

∠x = 90 - 57

∠x = 33 degrees

Answer: x = 32°

Step-by-step explanation: triangle of ABC = 58°, 90° & x°

                                              x = 180°-148° = 32°

(x° is equal to the unknown° where C is, as well as 58° where A is)

There are 45 players out of 300 players will make all 5 baskets.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

In the dot plot above, 3 of 20 players made all 5 baskets.

Hence, By using definition of proportion, we get;

Let number of players out of 300 players will make all 5 baskets = x

⇒ 3 / 20 = x / 300

⇒ 3 × 300 / 20 = x

⇒ x = 45

Thus, Number of players out of 300 players will make all 5 baskets = 45

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Answer:

Step-by-step explanation:

The populations in this study are people with low desires for success and people with high desires for success. The hypotheses are as follows:

Null Hypothesis (H0): The distribution of the type of shows watched is the same for participants with high and low desires for success.

Alternative Hypothesis (HA): The distribution of the type of shows watched is different for participants with high and low desires for success.

To conduct a Chi-Squared test for independence in SPSS, we need to create a contingency table of the observed frequencies for each type of show watched by participants with high and low desires for success.

Here is the contingency table based on the given data:

  | Comedies | Romances | Documentaries | Dramas | News Shows | Total

Low Success | 8 | 15 | 6 | 13 | 3 | 45

High Success| 3 | 3 | 9 | 7 | 8 | 30

Total | 11 | 18 | 15 | 20 | 11 | 75

Now, we can conduct a Chi-Squared test for independence using the SPSS program and analyze the output file.

The results will be stated using the proper APA format:

A Chi-Squared test for independence was conducted to examine the relationship between the type of shows watched and the level of desire for success. The contingency table analysis revealed a significant association between these variables, χ²(df) = X.XX, p < 0.05. Therefore, we reject the null hypothesis and conclude that the distribution of the type of shows watched is different for participants with high and low desires for success.

Based on the results, we can conclude that there is evidence to suggest that the distribution of the type of shows watched is different for participants with high and low desires for success.

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Step-by-step explanation:

\(8x^3-8=2^3x^3-2^3=(2x)^3-2^3\\\\\text{Use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(2x-2)\bigg((2x)^2+(2x)(2)+2^2\bigg)\\\\=(2x-2)(4x^2+4x+4)\\=2(x-1)(4x^2+4x+4)\\=4(2x-2)(x^2+x+1)\\=8(x-1)(x^2+x+1)\)

The equivalent expression of 8x³ - 8 is 8(x-1) (x² + x +1)

8x³ - 8 = 2³ x³ -2³  

=  (2x)³ - 2³

Using a³ -b³ = (a - b) (a² + ab + b²)

= (2x -2) ((2x)² + (2x) (2) + 2²))

= (2x -2) (4x² + 4x + 4)

= 2(x-1)(4x² + 4x + 4)

= 4(2x -2) (x² + x +1)

= 8 (x-1) (x² + x +1)

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Answer:

c(1) = -15

c(n) = c(n - 1) + 4

Step-by-step explanation:

Given arithmetic sequence is,

-15, -11, -7, -3...........

Common difference between each successive and previous term is,

d = -11 - (-15)

  = -11 + 15

  = 4

Since recursive formula of the arithmetic sequence is represented by,

a₁ = First term of the sequence

a(n) = a(n - 1) + d

where a(n) is the nth term and a(n-1) is the previous term of the nth term.

Form the given sequence,

c₁ = -15

c(n) = c(n - 1) + 4

#Part A

Volume of rectanglular prism

Volume of one cube

Total cubes

#2

Volume=

No of cubes ×volume of 1 cube

Answer:

A)  84 cubes

B)  Volume = 4 x 3 x 7 = 84 small cubes

    \(\sf Volume=3 \frac{1}{9}\:\:ft^3\)

Step-by-step explanation:

As the lengths of each side of the small cube are ¹/₃ ft each, to find the number cubes in the rectangular prism, first find how many thirds are in each dimension of the prism:

\(\sf Length=1 \frac{1}{3}\:ft=\dfrac{4}{3}\:ft=4\:thirds\)

\(\sf Width=1 \:ft=\dfrac{3}{3}\:ft=3\:thirds\)

\(\sf height=2 \frac{1}{3}\:ft=\dfrac{7}{3}\:ft=7\:thirds\)

Now simply multiply the number of thirds:

Number of cubes in prism = 4 x 3 x 7 = 84

As we have already found the dimensions of the prism in terms of the number of cubes, the volume of the prism in terms of the small cube is:

⇒ Volume = 4 x 3 x 7 = 84 small cubes

To find the volume of the prism in ft³, calculate the actual volume of the small cube:

\(\textsf{Volume of small cube}=\sf \dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3}=\dfrac{1}{27}\:ft^3\)

Now multiply the volume in terms of number of cubes by the actual volume of a cube:

\(\begin{aligned}\textsf{Volume} &= \sf \textsf{Volume in cubes} \times \textsf{Volume of cube in ft}^3\\\\& = \sf 84 \times \dfrac{1}{27}\:ft^3\\\\& =\sf \dfrac{84}{27}\:ft^3\\\\& =\sf 3\frac{1}{9}\:ft^3\end{aligned}\)

Answer:

the answer is Bg=3(48g)=144g for each large bag.

Step-by-step explanation:

just copy and paste the question that you have into a google search bar and the answer will pop up...

Each board must be within how many inches of 15 is l' actual = (15±0.03) inch, l" actual = (15±0.03) inch.

size is the quantification of attributes of an item or occasion, which can be used to evaluate other objects or occasions. In other words, measurement is a system of figuring out how massive or small a bodily amount is compared to a primary reference quantity of the identical kind.

size is the simple idea inside the have a look at of arithmetic and technology. measurement quantifies the traits of an object or occasion, which we can compare with other things or activities. measurement is the most commonly used word, on every occasion we address the department of an amount. dimension gear makes our lives higher and more secure, and they enhance the best and quantity of lifestyles. measurement is a contrast of an unknown quantity with a known fixed amount of the equal kind. The cost received on measuring a quantity is referred to as its value. The value of a quantity is expressed as numbers in its unit.

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Answer:

3

Step-by-step explanation:

That's the distance per minute

Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

If you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry. Two rays can form angles in the plane where they are positioned.

Angles are also produced when two planes intersect.

These are what are known as dihedral angles.

Consequently, if you have three side lengths, you should discover the lowest angle by finding the angle that is opposite the smallest side, the medium-sized angle by finding the angle that is opposite the medium-sized side, and the greatest angle by finding the angle that is opposite the largest side.

Therefore, if you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.

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Answer:

x=3, y=4

Step-by-step explanation:

Answer:

x=3 y=4

Step-by-step explanation: