A square pyramid has a base that is 4 inches wide and a slant height of 7 inches. what is the surface area, in square inches, of the pyramid?

Answer:

1. " Fools Gold" by One Direction.

2. " Rain" by Kid Kudi.

3. " Lover to Lover" by Florence + the Machine.

4. " All Too Well" by Taylor Swift.

5. " Tomorrow Is Today" by Billy Joel.

6. " 5 Year Plan" by Chance the Rapper.

7. “ Tenerife Sea” by Ed Sheeran.

8. "

Step-by-step explanation:

The given function f(x) = 16^x is an exponential function.

An exponential function is a mathematical function in which an independent variable appears in the exponent. In this case, the base of the function is 16, and the variable x is the exponent.

In the given function f(x) = 16^x, the variable x represents the exponent to which 16 is raised. As x increases, the function value grows rapidly, indicating exponential growth. The base of 16 signifies that the function is being multiplied by 16 for each unit increase in the exponent.

In contrast, a linear function has a constant rate of change, and a quadratic function has a squared term. The given function does not involve a linear relationship or a squared term, which confirms that it is not a linear or quadratic function.

Therefore, based on the given form f(x) = 16^x and the exponential growth nature of the function, we can classify it as an exponential function.

Learn more about exponential function here:

brainly.com/question/29287497

#SPJ11

Answer:

response 1 = 55

response 2= 11

Step-by-step explanation:

response 1

5t+8=63

5t+8-8=63-8

5t= 55

response 2

5t=55

t=55/5

=11

To find the standard matrix for the linear transformation T: T(x, y) = (x + 6y, x - 4y), we need to determine the image of the standard basis vectors (1, 0) and (0, 1) under T.

Let's start with the standard basis vector (1, 0):

T(1, 0) = (1 + 6(0), 1 - 4(0)) = (1, 1)

The image of (1, 0) is (1, 1). Therefore, the first column of the standard matrix will be (1, 1).

Next, let's consider the standard basis vector (0, 1):

T(0, 1) = (0 + 6(1), 0 - 4(1)) = (6, -4)

The image of (0, 1) is (6, -4). Therefore, the second column of the standard matrix will be (6, -4).

Putting it all together, the standard matrix for the linear transformation T is:

| 1   6 |

| 1  -4 |

To learn more about standard matrix refer below:

https://brainly.com/question/31406066

#SPJ11

Answer:

49 is the missing angle.

Step-by-step explanation:

just add the other angles then subtract by 180 to get your answer! have a nice day!

Answer:

46

9 hours every day for 5 days so you just do 9x5

To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) →  \((3x,3y)\) to each vertex, we get a new rectangle with vertices at   \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.

Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.

The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.

This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.

To visualize this transformation, imagine a rectangle with vertices at  \((0,0), (1,0), (1,2),\)  and   \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\)  and (0,6), which is three times the size of the original rectangle.

Learn  more about rectangle here:

brainly.com/question/29123947

#SPJ1

yes they are similar, one is 3/4ths of the other for all dimensions if you match it up right

The worker needs to do 8150 ft-lb of work to lift the bucket.

The bucket has to be lifted 60-40=20 feet. As the worker pulls the bucket, the weight of the rope has to be overcome. Therefore, the work done in lifting the bucket through a distance of 20 ft is given by;

Work done = (work done in lifting the bucket + work done in lifting the rope)

Work done in lifting the bucket= Force × distance= 400 lbs × 20 ft= 8000 ft-lb

As the weight of the rope varies, an average weight can be considered for convenience.

Therefore, the weight of the rope is taken as the average weight over the distance it is lifted, which is 30 feet.

So, work done in lifting the rope= force × distance= 5 lbs/ft × 30 ft= 150 ft-lb

Therefore, the total work done by the worker= 8000 + 150= 8150 ft-lb

Thus, the worker needs to do 8150 ft-lb of work to lift the bucket.

learn more about Work done here:

https://brainly.com/question/13662169

#SPJ11

the factors of 28 are : 1, 2, 4, 7, 14, and 28.

the prime factors of 28 are : 2, 2, and 7.

Answer:

100is you are interested please let me know what you think you should be able

The series converges on the interval from 7 inclusive to 9 exclusive.

To find the radius of convergence, we use the ratio test:

So the series converges absolutely if |x - 8| < 1, and diverges if |x - 8| > 1. Therefore, the radius of convergence is R = 1.

To find the interval of convergence, we need to test the endpoints x = 7 and x = 9:

When x = 7, the series becomes:

[infinity] (-1)ⁿ (n+9) / (n+1)

n = 0

which is an alternating series that satisfies the conditions of the alternating series test. Therefore, it converges.

When x = 9, the series becomes:

[infinity] 1 / (n+1)

n = 0

which is a p-series with p = 1, which diverges.

Therefore, the interval of convergence is [7, 9).

Learn more about p-series

brainly.com/question/30880784

#SPJ11

Answer:

Below

Step-by-step explanation:

Losing 27 % of value each year means it retains 73% each year

  we need to multiply 20 000 x  .73 x .73 x .73     ....  .73     (twelve times )

                  or   re-written as   20 000 * .73^12 = value =$ 458.04

After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

Know more about set here:

brainly.com/question/13458417

#SPJ11

Given:

A TV with a cash price of $245.00 and a down payment of $4.90.

So, the amount financed =

So, the answer will be option D. $240.10

9514 1404 393

Answer:

  obtuse scalene triangle

Step-by-step explanation:

Connecting 3 points will make a triangle. The sides are different lengths, and the largest angle is more than 90°. The figure is an obtuse scalene triangle.

Using imaginary unit i:

Recall i² = -1

-20 = -1 × 20 = i² × 20

the probability that exactly 2 chips out of the random sample of 3 chips are defective is 42/3375.

To calculate the probability that exactly 2 chips out of a random sample of 3 chips are defective, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = x) = C(n, x) * pˣ * q⁽ⁿ⁻ˣ⁾

Where:

P(X = k) is the probability of exactly k successes (in this case, defective chips)

n is the sample size (in this case, 3 chips)

k is the number of successes (defective chips)

p is the probability of success (probability of a chip being defective)

q is the probability of failure (probability of a chip not being defective)

C(n, k) is the number of combinations of n items taken k at a time

Given:

n = 3 (sample size)

k = 2 (exactly 2 defective chips)

p = 10/150 = 1/15 (probability of a chip being defective)

q = 1 - p = 14/15 (probability of a chip not being defective)

Now, let's calculate the probability:

P(X = 2) = C(3, 2) * (1/15)² * (14/15)⁽³⁻²⁾

C(3, 2) = 3! / (2!(3-2)!) = 3

P(X = 2) = 3 * (1/15)² * (14/15)

P(X = 2) = 3 * (1/225) * (14/15)

P(X = 2) = 42/3375

So, the probability that exactly 2 chips out of the random sample of 3 chips are defective is 42/3375.

Learn more about probability here

https://brainly.com/question/32004014

#SPJ4

Answer:

(6, infinity) should be the answer.

Answer:

(10, ∞)

Step-by-step explanation:

Just took test. I got you bro

The maximum value of the sum of the roots of the equation (x−a) (x−b) + (x−b) (x−c) = 0 is 16.5

Given,

The equation; (x−a) (x−b) + (x−b) (x−c) = 0

We have to find the maximum value of the sum of the roots of the equation

Here, a, b and c be three distinct on-digit numbers;

Now,

(x−a) (x−b) + (x−b )(x−c) = 0

2x² − ax − 2bx − cx + ab + bc = 0

2x² − (a + 2b + c) x + ab + bc = 0

According to Vieta's formulae, the sum of the roots in this quadratic equation is just (a+2b+c) / 2. It is obvious that maximizing the 2b term is necessary for this total to be at its highest level. Consequently, b = 9. (the largest one-digit number). Since both of the coefficients of a and c are equal, their values can be either the second-largest one-digit number (8) or the third-largest one-digit number ( 7 ). This is due to the fact that a, b, and c are three separate one-digit numbers.

Then,

(8+2 × 9+7) / 2 = 16.5

That is,

The maximum value of the sum of the roots of the equation (x−a) (x−b) + (x−b) (x−c) = 0 is 16.5

Learn more about values here;

https://brainly.com/question/24334428

#SPJ4

Answer:

15

Step-by-step explanation:

Replace each instance of 'x' with '(-6):'

f(-6) = 3 - 2(-6)

       = 3 + 12 = 15

Answer:

50%

Step-by-step explanation:

10x5=50

10 is the Percentage.

5 is the Time.

Answer:

explain how like uh 0Oo. done

Step-by-step explanation:

The objective function formula that is nonlinear is - 2xy/2xy + z

From the question, we have the following parameters that can be used in our computation:

- 2xy/2xy + z

- x + y + z

- 3x - 2y + z

A linear function is a function that has a degree of 1

Other functions with other degrees are nonlinear

Using the above as a guide, we have the following functions with a degree of 1

- x + y + z

- 3x - 2y + z

Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z

Read more about linear equations at

https://brainly.com/question/2030026

#SPJ1

The zeros of the polynomial f(x) are the values of x that make f(x) equal to zero. We can find the zeros of f(x) by setting the polynomial equal to zero and solving for x:

f(x) = (x-5)²6 (x²-25)²7 = 0

The polynomial f(x) has two factors, each of which contributes to the zeros of the polynomial:

Factor 1: (x-5)²6

This factor is equal to zero when x-5=0, or x=5. Therefore, the polynomial f(x) has a zero of multiplicity 6 at x=5.

Factor 2: (x²-25)²7

This factor is equal to zero when x²-25=0, or x=±5. Therefore, the polynomial f(x) has two more zeros at x=±5. Each of these zeros has a multiplicity of 7, since the factor (x²-25) is raised to the 7th power.

Therefore, the zeros of f(x) are x=5 and x=±5, with multiplicities of 6 and 7, respectively.In summary

To know more about polynomial f(x)

https://brainly.com/question/29199219?

#SPJ4

Answer:

The answer is down below:

Step-by-step explanation:

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out.

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out .Notebook: 22-x