What is x???????????

The volume of the square base pyramid is 1383.6 m³.

The volume of the pyramid with square base can be found as follows:

The side length of the square base is 17.6 metres and the height of the

pyramid is 13.4 metres.

Therefore,

volume of the pyramid = 1 / 3 Bh

where

Therefore,

volume of the pyramid = 1 / 3 × 17.6² × 13.4

volume of the pyramid = 309.76 × 13.4 / 3

volume of the pyramid = 4150.784 / 3

volume of the pyramid = 1383.6 m³

learn more on volume here: https://brainly.com/question/1578538

#SPJ1

The number of co-workers that like gumdrops and chocolate is 7 (option b).

The mathematical operations that would be used to determine the answer are addition and subtraction.

Addition is determining the total value or summing two or more numbers. The sign used to represent addition is +. Subtraction is the process of determining the difference between two or more numbers. The sign used to denote subtraction is -.

The first step is to add the total number of people who like a particular type of candy : 10 + 8 + 2 + 3 + 5 = 28

The second step is to subtract that number gotten in the previous step from the total number of co-workers.

Co-workers that like both chocolate and gum drops = 35 - 28 = 7

To learn more about addition, please check: https://brainly.com/question/19628082

#SPJ1

x and x⁴-16x²+56 are the resulting composite functions respectively.

Given the following functions below

f(x) = 7/x

g(x) = x² - 8

We need to determine the composite functions (fof)(x) and (gog)(x)

(fof)(x) = f(f(x))

f(f(x)) = f(7/x)

Replace x with 7/x

f(7/x) = 7/(7/x)

f(7/x) = 7 * x/7

f(7/x) = x

Similarly:

(gog)(x) = g(g(x))

g(g(x)) = (x² - 8)² - 8

g(g(x)) = x⁴-16x²+64 - 8

g(g(x)) = = x⁴-16x²+56

Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56

Learn more on composite function here: https://brainly.com/question/10687170

#SPJ1

Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

#B4nliest!

Nikki applied to 3x colleges.

To determine the number of colleges Nikki applied to, we need to multiply the number of colleges Diego applied to by 3. Hence, the answer is represented by the mathematical expression 3x.

In this problem, 'x' represents the number of colleges Diego applied to. Nikki, on the other hand, applied to 3 times as many colleges as Diego did.

So, to find out the total number of colleges Nikki applied to, we multiply the number of colleges Diego applied to ('x') by 3.

Hence, the correct mathematical expression for the number of colleges Nikki applied to would be 3x.

https://brainly.com/question/35502092

#SPJ2

Your employer will match 100 percentage of the first 3% of your employee contributions and 50% of the next 3-5%, for a total employer contribution of up to 4.5%.

Step 1: Calculate the total employee contribution. If you contribute 6% of your salary to your retirement plan, your total employee contribution will be 6%.

Step 2: Calculate the employer match for the first 3%. Your employer will match 100% of the first 3%, so the employer match will be 3%.

Step 3: Calculate the employer match for the next 3-5%. Your employer will match 50% of the next 3-5%, so the employer match will be 1.5%.

Step 4: Calculate the total employer match. The total employer match will be 4.5%, which is the sum of the employer match for the first 3% (3%) and the employer match for the next 3-5% (1.5%).

Learn more about percentage here

https://brainly.com/question/16797504

#SPJ4

Lydia earns $52.5 more than Gabrielle after 3 years.

percentage, a relative value indicating hundredth parts of any quantity.

we can use the formula for compound interest:

\(A = P(1 + r/n)^n^t\)

where A is the final amount,

P is the principal (initial investment),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

For Lydia (n=365)

A=1000(1+0.0525/365)¹⁰⁹⁵

A=1115.7

For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):

A = 1000(1 + 0.0525/2)⁶

A = 1000(1.0265625)⁶

A = 1168.2

To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:

1168.2- 1115.7 = 52.5

Hence, Lydia earns $52.5 more than Gabrielle after 3 years.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ9

Answer:

13. ...........................

The ratio of corresponding sides:

Congruent angles

14............................

15............................

Step-by-step explanation:

Transcribed image text: Choosing a Photo Francesca wants to give one of her photographs to a friend as a gift. Help her choose the photograph and determine the style and size of the mat she can afford 1. Describe the design and original dimensions of the photo you chose for Francesca to give as a gift. 2 points: 1 point for describing the photo and 1 point for including the dimensions) Photo description: The photo Shous Francasca and has Friend huagina. Dimensions (including units): The still Photo is a Xg meaning its width is indas and Langth is gind Finding the Total Area of the Photo and Mat 2. Francesca wants to glue her photo on top of a mat that will increase the length of each side. The mat border has a width of x, so the length of each side would increase by 2x inches. Represent the length and width of the mat with an expression. (2 points) Length: Width: 3. The area of the mat is the product of the length and width. Write an expression for area as the product of two binomials. Do not multiply.(1 point)

Answer:

48 miles per hour

Step-by-step explanation:

first I would convert everything to hours It makes it easier. That means that 3 hours and 45 mins becomes 3 3/4 hours So now you have 180/3.75 = the rate. To find the answer, simply divide that, and you get 48. 48 miles per hour

Answer:

ASK

DISTANCE DISTANCE FORMULA DISTANCE WORD PROBLEMS DISTANCE, RATE, TIME SPEED DISTANCE TIME DISTANCE WORD PROBLEM

Michaela B. asked • 09/02/15

A car travels 180 miles in t hours at a speed of r mph. If the car travels half as fast but three times as long, how far does it travel?

Use the fact that distance equals speed times time.

Follow4

Add comment

More

2 Answers By Expert Tutors

By:

Best

Michael J. answered • 09/02/15

TUTOR 5 (5)

Effective High School STEM Tutor & CUNY Math Peer Leader

SEE TUTORS LIKE THIS

d = vt

where:

v = speed

d = distance

t = time

Based on the formula, each quantity is directionally proportional to each other. Since we don't have enough numbers to work with, we will utilize our concept skills.

If the car travels half the speed, then the car is slowing down and covers a short distance in a certain amount of time than it did originally. So we divide the default distance by 2.

180 / 2 = 90

The new distance so far is 90 miles.

But now it takes the car 3 times as long to get to its destination. The longer it takes, the more distance you will cover. Multiply the current distance by 3.

90 * 3 = 270

The car travels 270 miles.

Answer:

-3\(h^{2}\) -17h + 28

Step-by-step explanation:

(a) The fundamental matrix for the given system of equations is Φ(t) = e^(At).

Let's denote the given coefficient matrix as A:

A = [ -1 -4

      1 -1 ]

The fundamental matrix Φ(t) for the system is given by the matrix exponential of the coefficient matrix A multiplied by t:

Φ(t) = e^(At)

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

Finding the fundamental matrix φ(t) satisfying φ(0) = I:

To find the fundamental matrix φ(t) satisfying φ(0) = I, we substitute t = 0 into Φ(t):

φ(0) = Φ(0) = e^(A * 0) = e^(0) = I

So, the fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

In summary, for the given system:

(a) The fundamental matrix Φ(t) is e^(At).

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix, denoted as φ(t) = I.

To know more about fundamental matrix refer here:

https://brainly.com/question/31981855?#

#SPJ11

Each of the polynomials have been simplified and classified by its degree and number of terms in the table below.

Based on the information provided above, we can logically deduce the following polynomial;

Polynomial 1:

(x - 1/2)(6x + 2)

6x² - 3x + 2x - 1

Simplified Form: 6x² - x - 1.

Name by degree: quadratic.

Name by number of terms: trinomial, because it has three terms.

Polynomial 2:

(7x² + 3x) - 1/3(21x² - 12)

7x² + 3x - 7x² + 4

Simplified Form: 3x + 4.

Name by degree: linear.

Name by number of terms: binomial, because it has two terms.

Polynomial 3:

4(5x² - 9x + 7) + 2(-10x² + 18x - 13)

20x² - 36x + 28 - 20x² + 36x - 26

28 - 26

Simplified Form: 2.

Name by degree: constant.

Name by number of terms: monomial, since it has only 1 term.

Read more on polynomial here: https://brainly.com/question/30941575

#SPJ1

The value of given function is obtained as  g(-3) + g'(-3) is -15.

The given function is g(x) and the linear approximation of this function at x = -3 is given by y = 4x - 7.

Now, to find the value of g(-3) + g'(-3),

we need to first find the value of g(-3) and g'(-3).

The value of g(-3) can be found by substituting x = -3 in the given function g(x):

g(x) = 4x - 7

g(-3) = 4(-3) - 7

= -19

To find the value of g'(-3), we need to differentiate the function g(x) and substitute x = -3:

g(x) = 4x - 7

Differentiating with respect to x, we get:

g'(x) = 4

g'(-3) = 4

Substituting these values in the expression g(-3) + g'(-3), we get:

g(-3) + g'(-3) = -19 + 4

= -15

Know more about the linear approximation

https://brainly.com/question/30403460

#SPJ11

Answer:

B. \(b \leq 1\frac{7}{10}\)

Step-by-step explanation:

Isolate b in order to solve the inequality. Subtract \(\frac{9}{5}\) on both sides of the inequality, then simplify. (You will need to convert the fractions in order to subtract and simplify further.)

\(\frac{7}{2} \geq b + \frac{9}{5} \\\frac{7}{2} -\frac{9}{5} \geq b + \frac{9}{5} -\frac{9}{5} \\\frac{35}{10} -\frac{18}{10}\geq b\\\frac{17}{10} \geq b\\1\frac{7}{10} \geq b\)

Thus, \(b \leq 1\frac{7}{10}\).

Answer:

b

Step-by-step explanation:

The price at which the demand drops to 584 units is $20.80 per unit.

The formula given is:

D = 1000 - 20P

To find the price at which the demand drops to 584 units, we can set D equal to 584 and solve for P:

584 = 1000 - 20P

20P = 1000 - 584

20P = 416

P = 416/20

P = 20.8

Therefore, the price at which the demand drops to 584 units is $20.80 per unit.

Learn more about :

demand : brainly.com/question/28098072

#SPJ11

The marketing advantage of magazines is the great number of special-interest publications that appeal to narrowly defined segments.

Magazines offer a marketing advantage due to the abundance of special-interest publications available, catering to specific and narrowly defined segments. This advantage stems from the nature of magazines as print media that often focus on specific topics or interests.

Magazines cover a wide range of subjects, from fashion and lifestyle to technology and hobbies. By targeting niche markets, magazines can attract readers who have a strong interest in a particular subject or industry. This allows advertisers to reach a highly targeted audience that is more likely to be receptive to their marketing messages. They can select magazines that cater to specific demographics, interests, or industries, ensuring that their advertising efforts are directed towards a relevant and engaged audience.

Learn more about interests here:

https://brainly.com/question/30955042

#SPJ11

The Angle-Angle (AA) Triangle Similarity states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. In other words, they have the same shape but not necessarily the same size.


To prove the similarity of two triangles using the AA postulate, follow these steps:
1. Identify the two triangles you want to compare.
2. Determine whether two angles in the first triangle are congruent to two angles in the second triangle. You can use given information or other theorems, such as vertical angles or alternate interior angles, to prove this.
3. If the two pairs of angles are congruent, then by the AA postulate, the triangles are similar.
4. Write the similarity statement for the two triangles, using the appropriate notation (e.g., ∆ABC ~ ∆DEF).

Remember that when two triangles are similar, their corresponding sides are proportional, and you can use this property to solve problems involving lengths of the triangles' sides.

To know more about Triangle Similarity visit :

https://brainly.com/question/14926756

#SPJ11

Answer:

SAS

Step-by-step explanation:

One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS

A spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

a spherical astroid has a radius of approximately 8.5 x 10^2 m.

we know,

the volume =  4/3 π r^3

so, by calculating, we get.

volume = 2.57 x 10^9 m^3

Hence, a spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

To learn more on volume click :

brainly.com/question/1578538

#SPJ1

Answer:

50 degrees

Step-by-step explanation:

just makes sense

Answer:

Wdym

Step-by-step explanation:

Answer:

-49

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer: 10%

Step-by-step explanation:

just take off the extra zeros at the end, and then it's a lot easier. just do 800 divided by 80, and then you get 10.

Answer:

10%

Step-by-step explanation:

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

Learn more about inscribed angle theorems on:

https://brainly.com/question/30494878

Answer:

figure 1 and figure 2 AA theorem

figure 3 and figure 4 SAS theorem

The height of the arch is about 6.71 feet when measured from its base at a distance of one foot.

This is further explained below.

Generally, An ellipse is a collection of points whose distances from a fixed point (focus) or fixed line (directrix) is constant and less than 1.

Depending on whether the transverse axis is horizontal or vertical, we may construct an equation for the ellipse. The main axis is located along the transverse axis. The ellipse may be represented using the following equations:

\(\begin{aligned}&\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1 \\&\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1\end{aligned}\)

An elliptical arch is described as having a center height of 9 feet and a width of 6 feet. The precise height of the arch from the base has to be determined.

\(\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1\)

The center (h, k) is where the graph is since we centered it at the origin (0,0). We only need to enter the numbers into the equation at this point.

\(\begin{aligned}\frac{(y-0)^2}{9^2}+\frac{(x-0)^2}{3^2} &=1 \\\frac{y^2}{81}+\frac{x^2}{9} &=1\end{aligned}\)

Since we divided the arch in half, 0 \(\leq\) 9 in this instance. All that is left to do is calculate the arch's height in feet from the base.

The height of 1 foot from each end of the arch must thus be determined. The locations of the arch's ends are x=-3 and x=3. Here, we have a choice between the two. We may choose x=3-1=2 for this. Therefore, all that is left to do is enter x=2 in our usual form and work out the value of y that results.

\(\frac{y^2}{81}+\frac{(2)^2}{9}=1\)

y^2+36=81

y^2+36-36=81-36

y=3√5

Therefore, the height of the arch at 1ft from the base is 3 √5ft or approximately 6.71ft

Read more about height

https://brainly.com/question/10726356

#SPJ1

The formula for the mean of x, given x ∼ bin(n, p) where n is a positive integer and 0 < p < 1, has been proven as μ = n * p.

To prove the formula for the mean of x, given x ∼ bin(n, p) where n is a positive integer and 0 < p < 1, follow these steps:
Step 1: Define the binomial distribution. In this case, x ∼ bin(n, p) represents a random variable x following a binomial distribution with n trials and probability of success p.
Step 2: Recall the formula for the mean (μ) of a binomial distribution. The formula for the mean of a binomial distribution is given:
μ = n * p
Step 3: Prove the formula. To prove this formula, consider the expected value of a single Bernoulli trial. A Bernoulli trial is a single experiment with two possible outcomes: success (with probability p) or failure (with probability 1-p). The expected value of a single Bernoulli trial is:
E(x) = 1 * p + 0 * (1 - p) = p
Step 4: Apply the linearity of expectation. The mean of the binomial distribution is the sum of the means of each individual Bernoulli trial. Since there are n trials, the mean of the binomial distribution (x) is:
μ = n * E(x) = n * p
So, the formula for the mean of x, given x ∼ bin(n, p) where n is a positive integer and 0 < p < 1, has been proven as μ = n * p.

The formula for the mean of x, or the expected value of x, is:
E(x) = np
To prove this formula, we need to use the definition of the expected value and the probability mass function of the binomial distribution.
First, let's recall the definition of expected value:
E(x) = Σ[x * P(x)]
where Σ represents the sum over all possible values of x, and P(x) is the probability of x occurring.
For the binomial distribution, the probability mass function is:
P(x) = (n choose x) * p^x * (1-p)⁽ⁿ⁻ˣ⁾
where (n choose x) is the binomial coefficient, which represents the number of ways to choose x items out of n without regard to order.
Now, let's substitute the binomial probability mass function into the formula for the expected value:
E(x) = Σ[x * (n choose x) * p^x * (1-p)⁽ⁿ⁻ˣ⁾]
Next, we need to simplify this expression. One way to do this is to use the identity:
x * (n choose x) = n * [(n-1) choose (x-1)]
This identity follows from the fact that we can choose x items out of n by either choosing one item and then selecting x-1 items out of the remaining n-1 items, or by directly choosing x items out of n.
Using this identity, we can rewrite the expected value as:
E(x) = Σ[n * (n-1 choose x-1) * p x * (1-p)⁽ⁿ⁻ˣ⁾]
Now, we can simplify further by noting that:
(n-1 choose x-1) = (n-1)! / [(x-1)! * (n-x)!]
and
n * (n-1)! = n!
Substituting these expressions into the expected value formula, we get:
E(x) = Σ[n! / (x-1)! * (n-x)! * px * (1-p) (n-x)]

We can simplify this expression by factoring out the common terms in the numerator:
E(x) = n * p * Σ[(n-1)! / ((x-1)! * (n-x)!) * p⁽ˣ⁻¹⁾ * (1-p)⁽ⁿ⁻ˣ⁾]
The sum inside the parentheses is just the binomial probability mass function for x-1, so we can rewrite it as:
Σ[(n-1)! / ((x-1)! * (n-x)!) * p⁽ˣ⁻¹⁾ * (1-p)⁽ⁿ⁻ˣ⁾] = P(x-1)
Substituting this back into the expected value formula, we get:
E(x) = n * p * Σ[P(x-1)]
Now, the sum over all possible values of x-1 is just the sum over all possible values of x, except that we're missing the last term (x=n). However, since the binomial distribution is discrete, the probability of x=n is just 1 minus the sum of all other probabilities. Therefore, we can add the missing term (n * P(n)) to the sum, giving:
Σ[P(x-1)] + P(n) = 1
Substituting this into the expected value formula, we get:
E(x) = n * p * (1 - P(n)) + n * P(n)
Simplifying this expression using the fact that P(n) = (n choose n) * p^n * (1-p)ⁿ⁻ⁿ = pⁿ, we get:
E(x) = n * p
This completes the proof of the formula for the mean of x.

Learn more about integers here: brainly.com/question/15276410

#SPJ11

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

Learn more about squared here: brainly.com/question/14198272

#SPJ11