Question 11: Given f (x), what is f (-4.5)?

\(f(x) = (x - 1) \)
​

volume of the pyramid is approximately 52.3 cubic inches.

What is volume of a pyramid ?

The formula for the volume of a pyramid is given by:

V = (1/3) * B * h. Where B is the area of the base and h is the height of the pyramid.

we know that each side of the square base has a length of:

\(\sqrt{(14.1)} = 3.75\ in\)

The volume of the pyramid can now be calculated as:

\(V = (1/3) * (3.75 \ in)^2 * 11.1 \ in\)

≈ 52.3 in^3

Therefore, the volume of the pyramid is approximately 52.3 cubic inches.

To know more about volume of a pyramid visit,

https://brainly.com/question/18994842

#SPJ1

Answer:

\(\sf{}\)

Step-by-step explanation:

hope it's helpful to you ☺️

Answer:60 mph

Step-by-step explanation:

Answer: 60 mph (miles per hour)

Explain:

You can get the same answer as what it shows from the internet, but a faster way to explain why this is the answer is dividing 420 to 7, and that equals 60 miles per hour. Have a good day!.

The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞).

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Given the function  g(x) = |x + 2|– 1

The minimum value of the function

At x = -2 ⇒ |-2+ 2|– 1 = -1

The maximum value of the function

At x = ∞ ⇒ |∞+ 2|– 1 = ∞

So,

The range will be (-1, ∞)

Now,

We can put x as -∞ and ∞ so the domain will be (-∞,∞).

Hence "The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞)".

For more details about the range and domain of the function,

brainly.com/question/28135761

#SPJ2

The angular momentum of the earth in its orbit around the sun is compared with the angular momentum of earth on its axis as below :

Earth's radius is 6.38 x 106 meters, its mass is 5.97 x 1024 kg, and its orbital radius is 1.5 x 1011 meters. The period of the earth's rotation is 24 hours, or 86400 seconds. The period of its revolution is one year, or 3.156 x 107.

Finding the angular momentum entails

L = mE x r2 x w L = 2.6742 x 1040kg.m2.s-1

I= 2/5M.R2 L8= 7.07 x 1023kg.m2.s-1 for a homogeneous sphere with mass M, radius R, and an axis through its center.

Earth's angular momentum in a circular orbit around the sun is measured at Li=2.6742 x 1040 kg.m2.s-1.

Given that the radius of the planet is so small in comparison to the distance from the sun, it makes sense to model the earth as a particle.

L8= 7.07 x 1023 kg.m2.s-1 is the size of the earth's angular momentum as a result of its revolution around an axis passing through the north and south poles.

Parameters and Calculations:

Earth's mass, mE, is 5.97 x 1024 kg, and its radius, R,

the earth's orbital parameters are as follows: RE= 6.38 x 106 m, r= 1.5 x 1011 m, t=24h = 86400 s, and t=1 year = 3.156 x 107

Finding the angular momentum entails

L=mexr2xw where

L = 2.6742 x 10-40 kg/m2/s-1

For a homogeneous sphere with mass M, radius R, and a central axis,

I= 2/5M.R^2

L8 = 7.07 x 1023 kg/m2/s-1

To learn more about angular momentum click here:

brainly.com/question/15104254

#SPJ4

Answer:

x =54

Step-by-step explanation:

68 - x = 14

find the difference of 68 and 14 to get X

68 - 14 = 54

X=54

(Sorry if it is incorrect or doesn’t make sense!)

The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

To learn more about mean : brainly.com/question/31101410

#SPJ11

Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

https://brainly.com/question/36761554

#SPJ6

Answer: It is in quadrant II

Answer:

Grilled cheese 1/10

Step-by-step explanation:

If you divide the rest of the fractions you get decimals and since 1/10 is still 10 grilled cheese is the favour lunch

The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %.

The quantity of rotations (n), no unit, done by a wheel is equal by total traveled distance (s), in inches, divided by its circumference (p), in inches:

\(n = \frac{s}{p}\)  

\(n = \frac{s}{\pi\cdot D}\)   (1)

Where D is the diameter of the wheel, in inches.

If we know that n = 651 and D = 31 in, then the travelled distance is:

s = (651) · π · (31 in)   (2)

s ≈ 63400.481 in

The travelled distance of the 31-in diameter wheel with 651 rotations is approximately 63400.481 inches.

By (2) we understand that the travelled distance is directly proportional to the diameter. Hence, if the diameter of the wheel is increased by 20 %, then we must multiply the diameter by 1.2 and divide the travelled distance by this result:

s ≈ 1.2 · π · (31 in)

s ≈ 116.867 in

\(n = \frac{63400.481\,in}{116.867\,in}\)

\(n = 542.501\)

The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %. \(\blacksquare\)

To learn more on circumferences, we kindly invite to check this verified question: https://brainly.com/question/4268218

Answer:

400 children tickets and 600 adult tickets.

Step-by-step explanation:

children tickets in total cost=400x2.50

                                             =1000

adult tickets in total cost=600x5.00

                                             =3000

total cost is 4000

(i) Pen A would require the most fencing with a perimeter of 28 m.

(ii) Assuming the cost of fencing material is the same per unit length, Pen C would minimize the cost of fencing as it has the smallest perimeter of 20 m.

To determine which pen would require the most fencing and which pen would minimize the cost of fencing, we need to calculate the perimeters of each pen.

The perimeter of a rectangle can be calculated using the formula: Perimeter = 2 * (Length + Breadth).

Let's calculate the perimeters of each pen:

Pen A:

Length = 12 m

Breadth = 2 m

Perimeter of Pen A = 2 * (12 + 2) = 2 * 14 = 28 m

Pen B:

Length = 8 m

Breadth = 3 m

Perimeter of Pen B = 2 * (8 + 3) = 2 * 11 = 22 m

Pen C:

Length = 6 m

Breadth = 4 m

Perimeter of Pen C = 2 * (6 + 4) = 2 * 10 = 20 m

(i) The pen that would require the most fencing is Pen A, with a perimeter of 28 m.

(ii) To minimize the cost of fencing, we need to consider the perimeter in relation to the cost per unit length of the fencing material. Since the cost of fencing is not provided in the question, we cannot make a definitive determination.

However, if the cost of fencing material is the same per unit length for all pens, minimizing the cost would involve selecting the pen with the smallest perimeter. In this case, Pen C would minimize the cost of fencing as it has the smallest perimeter of 20 m.

For more such question on cost. visit :

https://brainly.com/question/2292799

#SPJ8

Answer:

50.3%

Step-by-step explanation:

1)  Lets find the number of new seats:  (227 - 151) = 76 new seats.  Percent increase is defined as:

(New Seats)/(Initial Seats) = (76/151) = 0.503 or 50.3% (to the nearest twnth of a percent)

Check:

Would a 50.3% increase from 151 add 57 seats?

(151)*(0.503) = 76 new seats  YES

A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.

let the cost price be 50x

→he sells 30kg of fruits on it's CP of 35 kg

→CP of 30kg fruits = 30x

→SP of 35kg fruits = 35x

→remaing fruits are 20kg

→he sells 20kg of fruits on CP of 16kg

→CP of 20kg fruits = 20x

→SP of 20kg fruits = 16x

→total CP is = 50x

→total SP is = (35 + 16) = 51x

→SP > CP (it means profit)

→profit = SP-CP

→ 51-50

→ 1

→ Profit% = gain/CP × 100

→ Profit% = 1/50 × 100

→ 2%

Hence the fruit seller had a profit% of 2%.

Answer:

x=-5

Step-by-step explanation:

So, you're trying to isolate the variable. So you start off with your problem.

3x + 1 =- 14   Then, you subtract one from both sides to make the one on the side with the variable a zero, so unimportant, while keeping the equation balanced.

3x=-15 Now, you divide both sides by 3 to get the x truly by itself while still keeping balance within the equation.

x=-5 is therefore your answer.

Hope this helps

\( \tt \: 3x + 1 = - 14\)

\( \: \)

\( \tt \: 3x = -14 - 1\)

\( \: \)

\( \tt \: 3x = -15\)

\( \: \)

\( \tt \: x = \cancel{ \frac{ - 15}{3}} \)

\( \: \)

\( \underline{ \boxed{ \red{ \tt \: x = -5}}}{ \large \green✓ } \)

\( \: \)

hope it helps:)

The mixed fraction is express as :

The given expression is :

Simplify the mixed fraction into decimal form :

Substitute the value and then subtarct :

Answer : 14 3/4 - 4 1/8​ = 10.625

Answer:

5/8

Step-by-step explanation:

3/4 can be multiplied by 2 to get 6/8 and now you have common denominators so you do 4 6/8 - 4 1/8

4-4= 0

6/8 - 1/8 = 5/8 so 5/8 is the answer

Answer:

$71, 250

Step-by-step explanation:

Given that:

Fixed salary of Lenny = $40,000

Commission on the cars sold by Lenny = 1.25%

Cost of each Lexus car = $50,000

Total worth of which cars are sold by Lenny = $2,500,000

To find:

Lenny's total income after a year?

Solution:

Lenny's salary consists of two parts i.e. Fixed salary and the variable part as per the commission depending upon the sales done by Lenny.

Fixed salary = $40,000

Commission earned = 1.25% of $2,500,000

\(\Rightarrow \dfrac{1.25}{100}\times 2500000\\\Rightarrow \$31,250\)

Therefore, Lenny's total salary after a year = $40,000 + $31,250 = $71, 250

Triangle pairs are similar polygons if they have the same shape but not necessarily the same size. In order for two triangles to be similar, they must satisfy the following conditions:

They must have the same angles. This means that the measures of the angles in one triangle must be the same as the measures of the corresponding angles in the other triangle.

The lengths of the sides must be in the same ratio. This means that if you divide the lengths of the corresponding sides of one triangle by the lengths of the corresponding sides of the other triangle, you must get the same ratio for all pairs of sides.

For example, if triangle ABC is similar to triangle DEF, the ratios of AB/DE, AC/DF, and BC/EF must all be the same.

To determine if two triangles are similar, you can use one of several theorems and postulates, such as the Side-Side-Side (SSS) Similarity Theorem, the Side-Angle-Side (SAS) Similarity Theorem, or the Angle-Angle (AA) Similarity Postulate. These theorems and postulates provide different sets of conditions that must be satisfied in order for two triangles to be similar.

To more about triangle similarity follow link : https://brainly.com/question/8691470

#SPJ4

Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

Answer:I think $1064

Step-by-step explanation:

First you multiply 1/5 by 420 and then add, so 1/5 x 420 = 84 & 420 + 84 = 504. Then you multiply 1/3 by 420 and also add, so 1/3 x 420 = 140 & 420 + 140 = 560. After you add both totals to get your final answer, so 504 + 560 = 1064. Her income each month is $1064.

Answer:

-5 degrees is colder than -3 degrees farienheight.

Step-by-step explanation:

Let's take this and eliminate every answer-

"The lowest temperature is -3 degrees."

-5 is lower than -3.

"The highest temperature is -5 degrees."

-5 degrees is the lowest temperature, not the highest!

"-5 is warmer than 3 degrees."

-5 is the LOWEST TEMPERATURE.

This leaves us with "-5 is colder than -3 degrees," which is correct because -5 is the smallest temperature and therefore, it is the coldest.

Answer:

time greater than 6 hours

Step-by-step explanation:

For this problem, we are given the rate at which the refrigerator's temperature increases and the rate at which the oven's temperature decreases along with the initial temperatures for both.  Using this information, we can determine the amount of time that will need to pass for the two to have equal temperature, or pass each other in opposite directions of temperature.  Let's write the inequality using the information:

40 + 5t > 340 - 45t

Let t be the amount of time passed in hours.  So, we simply need to solve the inequality for t.

40 + 5t > 340 - 45t

40 + 50t > 340

50t > 300

t > 6

Given this information, we know that after 6 hours have passed, the temperature of the fridge and oven will be equal.  So we can say that any time greater than 6 hours, the fridge will have a higher temperature than the oven.

Cheers.

Step-by-step explanation:

minha conta é bonita né kkk

o Andrey Mandou comprimentos pra você kkk

Answer:

No she dosen't deserve that because she will be late for her trian but i would of walked out anyways LOL.!!!

To obtain the best estimate of the percentage of people from the town who will attend the next game, the football coach should survey a randomly selected group of people from the town.

By randomly selecting individuals from the town, the sample will be more representative of the town's population, and the coach can obtain a more accurate estimate of the percentage of people who will attend the next game.

Surveying people who have a friend on the football team, or who attended the last game, or people who are on sports teams may result in biased samples that do not accurately represent the town's population as a whole.

Learn more about the percentage

https://brainly.com/question/29306119

#SPJ4

Answer:

A Square plus B square equals

Step-by-step explanation:

T

Answer:

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

Step-by-step explanation:

First factor out 2\(b^{2}\) from the first set of parentheses and -5 from the second

2\(b^{2}\) ( 3b + 8)  - 5 (3b + 8)

Next factor out (3b + 8)

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

Answer:

It is 4

Step-by-step explanation: