2. The dimensions of a triangular pyramid are shown on the figure below. The height of the pyramid is
15 inches. What is the volume in cubic inches?
11
16 in
20 in
25.6 in

Answer:

X < 7/2

Step-by-step explanation:

Move the variable to the left, separate into possible cases , solve, find the intersections, find the union, and then you get your solution.

Step-by-step explanation:

Given that:

|2x-7| = 7-2x

⇛2x-7 = 7-2x or -(7-2x)

since |x| = a ⇛ x = a or x = -a

⇛2x-7 = 7-2x or 2x-7 = 2x-7

Shift all variables on LHS and constant on RHS, changing it's sign.

⇛2x+2x = 7+7

Add the values on LHS and RHS.

⇛4x = 14

Shift the number 4 from LHS to RHS.

⇛x = 14/4

Write the fraction in lowest form by cancelling method.

⇛ x = {(14÷2)/(4÷2)}

⇛x = 7/2

There is no solution for negative value

x = 7/2

Please let me know if you have any other questions.

Answer:

29.12%

Step-by-step explanation:

Given that :

A = 49

B = 50

C = 38

D = 60

E = 75

Total = (49 + 50 + 38 + 60 + 75) = 272

Pie chart % for each :

A = (49 / 272) * 360 = 64.85

B = (50 / 272) * 360 = 66.18

C = (38 / 272) * 360 = 50.29

D = (60 / 272) * 360 = 79.41

E = (75 / 272) * 360 = 99.26

Difference between C and D

(79.41 - 50.29) = 29.12%

Answer:

5 13/8 or 6 5/8

Step-by-step explanation:

2 3/4 + 3 7/8

since we are add we need to get a common denominator(bottom number)

I know that 2 × 4 = 8

3/4 × 2 = 6/8

new problem is

2 6/8 + 3 7/8

2+3=5

6/8 + 7/8 = 13/8

5 13/8

you may need to simplify you answer

13 - 8 = 5

6 5/8

Step-by-step explanation:

the given speed is

63 cm / 2 days

1 m = 100 cm

therefore, m = cm/100.

so,

63 cm = 0.63 m

1 day = 24 h

therefore,

2 days = 24×2 = 48 h

so, we have a speed of

0.63 m / 48 h

we need to get the speed of meters in 1 hour.

so, we need to do a normal fraction operation.

e.g. when we have 43/10, but we want to have 1 in the denominator (bottom part).

what do we do ? well, we divide top and bottom (to keep the total value of the fraction unchanged) by 10 and get

4.3/1 = 4.3

we do the same with

0.63 m / 48 h

as we want to have only 1 hour in the denominator.

we divide top and bottom by 48 :

0.63/48 / 1 h = 0.013125 m/h ≈ 0.01 m/h

Answer:

25

Step-by-step explanation:

if you see 26-24=2

=>27-x=2

=>-x=2-27

=>-x=-25

=>x=25

Answer:

Step-by-step explanation:

13 for shirts

29 for pants

29 stands for the cost of 1 pant. p represents the number of pants

13p shows how much shirts cost for 1 while 3 shows how chris bought 4 shirts

Answer:

C.) AFD measures 30°

Step-by-step explanation:

it is 150 degrees

Answer:

the answer is C

Step-by-step explanation:

A)  angle EFC is 80 degrees so a is a true statement

B) angle BFC is 60 degrees and angle DFE is 30 degrees 60+30=90 so that's a true statement

D) angle AFB is 40 degrees and angle CFD is 50 degrees  40+50=90 so that a true statement

that leaves C and angle AFD is more than 30 degrees its 150 degrees

Answer:

bust stop #2 6.5 minutes

Step-by-step explanation:

Answer:

bust stop #2 6.5 minutes

Step-by-step explanation:

For the exponential function:

g(x) = 14*(2)^x

We can see that:

a = 14, and b = 2.

A general exponential function is written as:

y = a*(b)^x

Where a is the inital value of the exponential function and b is the base.

Here we have the exponential function:

g(x) = 14*(2)^x

Comparing that to the general one, we can see that the initial value is 14 and the base is 2.

Then:

a = 14

b = 2

The correct option is the second one.

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Answer: 11c^2

Step-by-step explanation:

(3c^2 - 8c^1 + 5) + (1c^2 - 8c^1 - 6)
5c^1 + 5 = 10c^1 + 1c^2 - 8c^1
-7c^1   -   6
K      C    C

7+ -6 = -1c^1

10c^1 + 1c^1= 11c^2

Answer:

The final expression is:

\(4c^{2}-16c-1\)

So, the option (B) is the correct one.

Step-by-step explanation:

The expression is as such:

\((3c^{2}-8c+5)+(c^{2}-8c-6)\)

Step 1: Remove the brackets:

\((3c^{2}-8c+5)+(c^{2}-8c-6)\\=3c^{2}-8c+5+c^{2}-8c-6\)

Step 2: Collect the like terms together:

\(3c^{2}-8c+5+c^{2}-8c-6\\=3c^{2}+c^{2}-8c-8c+5-6\)

Step 3: Take the common variable as a factor, and add accordingly:

\(3c^{2}+c^{2}-8c-8c+5-6\\\\\text{Take}~c^{2}~\text{as the factor between the first two terms:}\\(3+1)c^{2}-8c-8c+5-6\\\\\text{Take}~c~\text{as the factor between the third and fourth terms:}\\(3+1)c^{2}+(-8-8)c+5-6\\\\\text{Since the last two terms are integers, we can just add them normally}\\\\\text{Add the like terms and the integers now:}\\(3+1)c^{2}+(-8-8)c+5-6\\=(4)c^{2}+(-16)c-1\\\\\text{Remove the brackets:}\\4c^{2}-16c-1\)

Answer:

\(\frac{15}{28}\)  is the required probability.

Step-by-step explanation:

Total number of Marbles = Blue + Red \(= 3 + 5 = 8\)

Probability of getting blue \(= \frac{3}{8}\)

Probability of not getting a blue \(=\frac{5}{8}\)

To get exactly one blue in two draws, we either get a blue, not blue, or a not blue, blue.

First Draw Blue, Second Draw Not Blue:

1st Draw: \(P(Blue) = \frac{3}{8}\)

2nd Draw: \(P(Not\:Blue)=\frac{5}{7}\)  (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

\(P(Event)=\frac{3}{8}\cdot \frac{5}{7}=\frac{15}{56}\)

First Draw Not Blue, Second Draw Not Blue:

1st Draw: \(P(Not\:Blue)=\frac{5}{8}\)

2nd Draw: \(P(Not\:Blue)=\frac{3}{7}\)  (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

\(P(Event)=\frac{5}{8}\cdot \frac{3}{7}=\frac{15}{56}\)

To get the probability of exactly one blue, we add both of the events:

\(\frac{15}{56}+\frac{15}{56}=\frac{15}{28}\)

(A) The leading term is -8x^5.
(B) The limit of p(x) as x approaches 0 is 16.
(C) The limit of p(x) as x approaches infinity is negative infinity.

(A) The leading term of a polynomial is the term with the highest degree.

In this case, the highest degree term is -8x^5.

Therefore, the leading term of the polynomial p(x) = 16+2x^4-8x^5 is -8x^5.

(B) To find the limit as x approaches 0, we can simply substitute 0 for x in the polynomial p(x).

Doing so gives us:

p(0) = 16 + 2(0)^4 - 8(0)^5
p(0) = 16

Therefore, the limit of p(x) as x approaches 0 is 16.

(C) To find the limit as x approaches infinity, we need to look at the leading term of the polynomial.

As x gets larger and larger, the other terms become less and less significant compared to the leading term.

In this case, the leading term is -8x^5. As x approaches infinity, this term becomes very large and negative.

Therefore, the limit of p(x) as x approaches infinity is negative infinity.

In summary:

(A) The leading term is -8x^5.
(B) The limit of p(x) as x approaches 0 is 16.
(C) The limit of p(x) as x approaches infinity is negative infinity.

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julia wants to purchase a pair of headphones that are on sale for $42.79. the sales tax rate in her county is 6%. then Julia have to pay $2.57 as sales tax on purchase of headphones.

Given,

The cost of headphones which Julia wants to purchase on sale = $ 42.79

The sales tax in Julia's country = 6%

We have to calculate the amount of sales tax Julia will pay on the purchase:

That is,

Sales Tax Value = Percentage of sales tax × Price of headphones

Sales Tax Value = (6 / 100) × 42.79

Sales Tax Value = 0.06 × 42.79

Sales Tax Value = 2.5674

Sales Tax Value ≈ 2.57

Therefore, Julia have to pay $2.57 as sales tax on purchase of headphones.

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Answer:

89.14 Sq . meter

Step-by-step explanation:

Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :

4 metres × 16 metres

= 64 sq. meter

Area of semicircle :

(pi×r^2)/2

= {(22/7)× (8/2)^2}/2

= (22×4×4)/(7×2)

= 176/7

= 25.14 sq. meter

Now , area of whole figure= (64+25.14)sq. meter

= 89.14 sq. meter

Answer:B

Step-by-step explanation:

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

The rate at which the distance between the two cars is increasing two hours later is 52 mi/h.

To determine the rate of change of the distance between the cars, we can use the concept of relative velocity. Since one car is moving south and the other is moving west, their velocities are perpendicular to each other. Thus, we can use the Pythagorean theorem to find the distance between them at any given time.

After two hours, the southbound car would have traveled 48 mi/h * 2 h = 96 miles, and the westbound car would have traveled 20 mi/h * 2 h = 40 miles. Therefore, the distance between the cars is the hypotenuse of a right triangle with sides 96 miles and 40 miles.

Using the Pythagorean theorem, the distance between the cars is √(96^2 + 40^2) = √(9216 + 1600) = √10816 = 104 miles.

Since two hours have passed, the rate at which the distance is increasing is 104 miles / 2 hours = 52 mi/h. Therefore, the distance between the cars is increasing at a rate of 52 mi/h.

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Solution

Given that cos θ= 3/5 and cot x < 0, then tanθ = ?

Using trigonometric function and angle

USING PYTHAGORAS therorem

Tanθ = opposite/adjacent

Answer: I believe the answer is M= -4

Step-by-step explanation:

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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Regression equation are calculations used to predict a person's to score on one variable when that person's score on another variable is already known. So, option(C) is right one.

Statistical study is used to collect and analyze data and is useful in census. The collected data is used to interpret economic activities. Statistics can be qualitative or quantitative in nature. The regression analysis is used to determine the line of best fit for the dependent variable and independent variables. The equation form of regression line is written as, Y= a + bX, where

It is an analysis to measure the relationship between a dependent variable and two or more. independent variables. So the correct choice is the regression equation.

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Complete question:

____ ____ are calculations used to predict a person's to score on one variable when that person's score on another variable is already known.

A. Pearson product-moment correlation coefficient

B. Coefficient of determination

C. Regression analysis

D. Point-biserial correlation coefficient

Answer: 1

Step-by-step explanation: calculator lol

Answer:

= 1

Step-by-step explanation:

− 2 + 7 −4

=5 −4

= 1

Answer:

Our X and Y make (2,-1)

Step-by-step explanation:

To find the point that is the solution for the system of equation, we must use the SUBSTUITION property,

\(2x+x-3=3\\\)

Now let's solve this, by adding common terms

\(2x+x=3x\\3x-3=3\)

Now we have to isolate the variable,

3x-3=3

Add 3 to both sides (opposite of the current)

3x=6 (DIVIDE three to both sides, to isolate the variable)

x=2 ( We know our x value is 2)

Now let's substitute this value into the Y.

y = 2-3 ( now subtract)

y= -1

Our X and Y make (2,-1)

Step-by-step explanation:

Plug in y=3/4x-4 into desmos :)

The graph of the linear function y = 4/3x - 3 is given at the end of this answer.

A linear function is modeled by:

y = mx + b

In which:

Considering the slope and the y-intercept, the rule of the function is:

y = 4/3x - 3

The graph is given at the end of the answer.

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Answer: z =  144 . so therefore , z + 45 = 189

Step-by-step explanation: good luck . <3