What is the volume of the right rectangular prism below?
​
​

A
434 cubic inches
B
418 cubic inches
C
334 cubic inches
D
218 cubic inches

Answer:

165°

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.............

Answer:

168

Step-by-step explanation:

LxWxH

L=6

W=4

H=7

6x4=24

24x7=168

Answer:

63,168 square inches

Step-by-step explanation:

A=2(wl+hl+hw)

A= 2{(4*6)+(7*6)+(7*4)}

A= 188

188 square inches for each candle

188 square inches times 336 candles= 63,168 square inches in total.

Hope this helped <3 Brainliest? :)

Answer:

$ 21

Step-by-step explanation:

Money spent = (2/5) * 60 + (1/4) * 60

                      = 2*12 + 1*15

                      = 24 + 15

                      = $ 39

Money save = 60 - 39 = $ 21

Answer:

x > 3

Step-by-step explanation:

Here, we want to write the inequality represented

We start by looking at the value on which we have the circle

It is on the value 3

we can also see that the circle is unshaded and also that, the graph faces the right direction

As the circle

is unshaded, we have it that we only use the inequality without the equal to

So we have the representation as;

x > 3

Answer:

Question 2

180=2x+3x

180=5x

36=x

Answer:

\(than k \: you\)

Answer:

-2 hope this helps you have a good day

Answer:

Slope:  5

y-intercept:  3

Uhhh hope this helps lol im not sure what kinda of answer your looking for

Step 1: Note that if two triangles are similar, then the ratios of their corresponding sides are equal

Step 2: Find HI

Hi = 5.1

Answer:

y=2.2

Step-by-step explanation: Hope this helps you out!!

Circumference of circle = 2 π r

Now , Substuting the values

Circumference of circle = 2 × 3.14 × 35

Circumference of circle = 6.28 × 35

Circumference of circle = 219.8 inches

Nearest 10ᵗʰ of 219.8 is 220

Hence , the Circumference of circle is 220 Inches.

\( \overline{ \underline{ \boxed{ \frak{Given }}}}\)

Find the circumference of a circle with a radius of 35 inches in terms of pie add to the nearest 10th of an inch

\( \overline{ \underline{ \boxed{ \frak{Solution}}}}\)

Given that :

Formula for getting the circumference :

\( \star \: \underline{ \pink{\boxed{\frak{Circumference_{(Circle)} = 2πr}}}}\)

Putting the values in the formula we get :

\( \twoheadrightarrow \frak{Circumference_{(Circle)} = 2 \times 3.14 \times 35 \: in}\)

\(\twoheadrightarrow \frak{Circumference_{(Circle)} = 3.14 × 70 in }\)

\( \twoheadrightarrow \frak{Circumference_{(Circle)} = 219.8 \: inches}\)

Henceforth, the circumference is 219.8 inches

But we are given to convert it into the nearest 10th

As 8 > 5

The Circumference of the Circle will be 220 inches

There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

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Answer:

450 miles , $90.5

Step-by-step explanation:

Let d be the miles driven

59 + 0.07d = 50 + 0.09d

d = 450

The two plans cost the same when he drives for 450 miles which the respective cost is 59 + 0.07(450) = $90.5

Answer:

ASA

Step-by-step explanation:

this is because both lines that are equal to each other share the same angle D on the triangle. Meanign that the angle between the two congruent sides is also equal, thus ASA

Answer:

I don't think there is a least perfect square that is factor of 4536

Step-by-step explanation:

Answer:

y = 5x + 15

Step-by-step explanation:

your equation is:

y = mx + b

or:

cost = cost per hour + flat rate

y = 5x + 15

Answer:

A. Beggining amount of money

Step-by-step explanation:

y=mx+b

T=75n+300

b=y-intercept

m=slope=rise/run

y-intercept is the starting amount.

where the x is 0 (0,y)

Hope this helps.

Answer:

16/3

Step-by-step explanation:

The expression 12�−1\frac{1}{2}x-1 2 1 ​ x−1 is equivalent to 2 1 ​ x−1, while the expression �−12x-\frac{1}{2}x− 2 1 ​ is not equivalent to 12�−1\frac{1}{2}x-1 2 1 ​ x−1 or 2 1 ​ x−1.

To determine whether an expression is equivalent to 12�−1\frac{1}{2}x-1 2 1 ​ x−1 or �−12x-\frac{1}{2}x− 2 1 ​, we need to simplify each expression and see if they are equal.

The expression 12�−1\frac{1}{2}x-1 2 1 ​ x−1 can be simplified by combining the fractions and factoring out a 1/2, resulting in 2 1 ​ x−1. Therefore, the expression 2 1 ​ x−1 is equivalent to 12�−1\frac{1}{2}x-1 2 1 ​ x−1.

On the other hand, the expression �−12x-\frac{1}{2}x− 2 1 ​ cannot be simplified to 12�−1\frac{1}{2}x-1 2 1 ​ x−1 or 2 1 ​ x−1. We can simplify the expression by combining like terms and finding a common denominator, resulting in (3x-4)/6. Thus, the expression is not equivalent to 12�−1\frac{1}{2}x-1 2 1 ​ x−1 or 2 1 ​ x−1.

The last expression (2x+1)−(x+23​) can be simplified by distributing the negative sign and combining like terms, resulting in x-23​. This expression is not equivalent to 12�−1\frac{1}{2}x-1 2 1 ​ x−1 or 2 1 ​ x−1, as it is a completely different expression.

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(a), occupation is a categorical variable, and correlation measures the linear relationship between two quantitative variables, so calculating a correlation between age and occupation is not appropriate. Secondly, in statement (b), student ratings of faculty teaching and ratings by other faculty members may have a curved relationship, and correlation only measures linear relationships.(c), the variables "sex" and "cell phone color" are both categorical, and correlation is only applicable to quantitative variables..

(a) There is a high correlation between the age of American workers and their occupation.

- The blunder here is that occupation is a categorical (nominal) variable, not a quantitative variable. Correlation measures the strength of the linear relationship between two quantitative variables, so it cannot be calculated between age and occupation.

- Furthermore, even if occupation were a quantitative variable, the relationship between age and occupation is unlikely to be linear. It may have a more complex or curved relationship, which correlation does not capture.

(b) We found a high correlation (r = 1.17) between students' ratings of faculty teaching and ratings made by other faculty members.

- The mistake in this statement is that student ratings of faculty teaching are typically based on ordinal scales, not nominal scales. Correlation calculations are appropriate for quantitative variables, but not for categorical variables or ordinal scales.

- Additionally, a correlation coefficient (r) cannot exceed 1 in absolute value. The range for correlation coefficients is always between -1 and 1, inclusive. Therefore, a correlation of 1.17 is impossible.

(c) The correlation between the sex of a group of students and the color of their cell phone was r = 0.29.

- Similar to the previous statements, the blunder here is that both variables, "sex" and "cell phone color," are categorical variables. Correlation is only applicable to quantitative variables, so it cannot be calculated between these variables.

- As the variables are categorical, they do not have a numerical relationship that correlation can measure. Therefore, stating a specific correlation coefficient (r = 0.29) between these variables is incorrect.

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Answer:f

Step-by-step explanation:

its not that hard

The function is concave up for  x < 1 and concave down for x > 1 because the second derivative is positive for x < 1 and negative for x > 1. As a result, the critical point at x  < 1 is a relative maximum.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is common to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The derivative of the function f(x) can be found by taking the derivative of the expression e^(-x) (x^2 + 2x) using the product rule:

f'(x) = -e^(-x) (x^2 + 2x) + e^(-x) (2x + 2) = 2e^(-x) - 2xe^(-x) (x + 1)

Setting f'(x) equal to zero and solving for x gives us the critical points:

0 = 2e^(-x) - 2xe^(-x).(x + 1)

2xe^(-x).(x + 1) = 2e^(-x)

x(x + 1) = e^x

x^2 + x - e^x = 0

Next, we determine the concavity of the function at the critical points by analyzing the second derivative of the function:

f''(x) = 2e^(-x) + 2xe^(-x) + 2xe^(-x).(x + 1) - 2e^(-x).(x + 1)

= 2e^(-x).(1 - x)

Since the second derivative is positive for x < 1 and negative for x > 1, the function is concave up for x < 1 and concave down for x > 1. Thus, the critical point at x < 1 corresponds to a relative maximum.

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Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

The given table represents the counts from three independent random samples taken from three major cities regarding whether teenagers consumed a soft drink in the past week.

By summing up the counts of teenagers who consumed a soft drink from all three cities and dividing it by the total number of teenagers surveyed, we can calculate the overall proportion. Dividing this proportion by the total number of teenagers and multiplying by 100 will give us the percentage of teenagers who consumed a soft drink.

For example, if the first city had a count of 150 teenagers who consumed a soft drink out of a total of 300 surveyed, the second city had 200 out of 400, and the third city had 180 out of 350, the overall proportion would be (150 + 200 + 180) / (300 + 400 + 350) = 530 / 1050. Multiplying this by 100, we find that approximately 50.48% of teenagers consumed a soft drink in the past week based on the combined sample.

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A research center conducted a national survey about teenage behavior. Teens were asked whether they had consumed a soft drink in the past week. The following table shows the counts for three independent random samples from major cities. Baltimore Yes 727 Detroit 1,232 431 1,663 San Diego 1,482 798 2,280 Total 3,441 1,406 4,847 No 177 904 Total (a) Suppose one teen is randomly selected from each city's sample. A researcher claims that the likelihood of selecting a teen from Baltimore who consumed a soft drink in the past week is less than the likelihood of selecting a teen from either one of the other cities who consumed a soft drink in the past week because Baltimore has the least number of teens who consumed a soft drink. Is the researcher's claim correct? Explain your answer. (b) Consider the values in the table. (i) Baltimore Detroit San Diego 0 0.1 0.9 1.0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Relative Frequency of Response (ii) Which city had the smallest proportion of teens who consumed a soft drink in the previous week? Determine the value of the proportion. (c) Consider the inference procedure that is appropriate for investigating whether there is a difference among the three cities in the proportion of all teens who consumed a soft drink in the past week. (i) Identify the appropriate inference procedure. (ii) Identify the hypotheses of the test.

The statement ''The z-score follows a normal distribution with u = 1 and o=0, which is known as the standard normal distribution.'' is false because the standard normal distribution has a mean (μ) of 0 and a standard deviation (σ) of 1, not the other way around. The z-score is a measure of how many standard deviations a value is from the mean in a normal distribution.

The statement is incorrect. In a standard normal distribution, the mean (μ) is equal to 0 and the standard deviation (σ) is equal to 1, not the other way around. The z-score is a measure of how many standard deviations a particular value is from the mean of a normal distribution.

A standard normal distribution is a specific type of normal distribution with a mean of 0 and a standard deviation of 1. It is often used as a reference distribution for statistical calculations and hypothesis testing.

The z-score allows us to standardize values from any normal distribution and compare them to the standard normal distribution.

Therefore, the correct statement is: The z-score follows a normal distribution with μ = 0 and σ = 1, which is known as the standard normal distribution.

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The distance between Boat and the LightHouse is 208.311 feet which is 208 feet approx

What is Trigonometry?

Trigonometry is the study of the connections between the sides and angles of triangles. Trigonometry may be found throughout geometry since each straight-sided form can be broken down into a collection of triangles.

Since we are given that the angle of depression is 48 degrees then it can be concluded that the angle of elevation from the boat will be 48 degrees

Height of LightHouse is 250 feet

We need to find the distance between boat and foot of lighthouse

tan 48° = 250/Distance

Distance = 208.311 feet

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Answer: D

Step-by-step explanation:

Answer:

its the first one

To determine the variable matrix \(\displaystyle X\) using the equation \(\displaystyle AX=B\), we need to solve for \(\displaystyle X\). We can do this by multiplying both sides of the equation by the inverse of matrix \(\displaystyle A\).

Let's start by finding the inverse of matrix \(\displaystyle A\):

\(\displaystyle A=\begin{bmatrix} 3 & 2 & -1\\ 1 & -6 & 4\\ 2 & -4 & 3 \end{bmatrix}\)

To find the inverse of matrix \(\displaystyle A\), we can use various methods such as the adjugate method or Gaussian elimination. In this case, we'll use the adjugate method.

First, let's calculate the determinant of matrix \(\displaystyle A\):

\(\displaystyle \text{det}( A) =3( -6)( 3) +2( 4)( 2) +( -1)( 1)( -4) -( -1)( -6)( 2) -2( 1)( 3) -3( 4)( -1) =-36+16+4+12+6+12=14\)

Next, let's find the matrix of minors:

\(\displaystyle M=\begin{bmatrix} 18 & -2 & -10\\ 4 & -9 & -6\\ -8 & -2 & -18 \end{bmatrix}\)

Then, calculate the matrix of cofactors:

\(\displaystyle C=\begin{bmatrix} 18 & -2 & -10\\ -4 & -9 & 6\\ -8 & 2 & -18 \end{bmatrix}\)

Next, let's find the adjugate matrix by transposing the matrix of cofactors:

\(\displaystyle \text{adj}( A) =\begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)

Finally, we can find the inverse of matrix \(\displaystyle A\) by dividing the adjugate matrix by the determinant:

\(\displaystyle A^{-1} =\frac{1}{14} \begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)

\(\displaystyle A^{-1} =\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix}\)

Now, we can find matrix \(\displaystyle X\) by multiplying both sides of the equation \(\displaystyle AX=B\) by the inverse of matrix \(\displaystyle A\):

\(\displaystyle X=A^{-1} \cdot B\)

Substituting the given values:

\(\displaystyle X=\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix} \cdot \begin{bmatrix} 33\\ -21\\ -6 \end{bmatrix}\)

Calculating the multiplication, we get:

\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)

Therefore, the variable matrix \(\displaystyle X\) is:

\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

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