Express in vertex form and state the coordinates of the vertexy = x² - 2x + 33

Answer:

Step-by-step explanation:

The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.

To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.

So, the growth rate of the investment is:

1.035 - 1 = 0.035

0.035 * 100 = 3.5%

Therefore, the growth rate of the investment is 3.5%.

Answer: 18

Step-by-step explanation:

Multiply number of each item possible

3*2*3=18

Answer:

60

Step-by-step explanation:

(3/8)*160

Answer:

he recieved 60

Step-by-step explanation:

Answer:

The graph of FUNCTION 1 is the widest.

Step-by-step explanation:

So sorry lolll. But this is definitely right

Answer:

Five and thirty-nine thousandths in standard decimal form is

5.039

Hope This Helps!!!

The four steps for solving linear systems are;

A variety of ways for solving linear systems exist which include;

Read more on solving linear systems;

https://brainly.com/question/384631

Answer:

graphing

algebraic methods

using inverse matrices

transforming an augmented matrix to reduced row echelon form

Cramer’s rule

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer: 1.82 m

Step-by-step explanation:

Ratios

0.14     n              0.14 x 13 = 1.82

 1.         13                    1.82/1 = 1.82

Answer:

285!

Step-by-step explanation:

First you have to find out how may parts are produced in a single minute.

We know that 114 parts are produced in 6 minutes so to find how may parts are made in one minute divide 114 by 6 and get an answer of 19

114÷6=19

Now to find how may parts are produced in 15 minutes multiply 19 (number of parts produdced in one minute) by 15 and get an answer of 285!

19×15=285

Hope this helped! :)

Answer:

1. a

2.60

3.g

Step-by-step explanation:

Answer:

the cost of the plan in the case when 388MB is used is $101.64

Step-by-step explanation:

The computation of the cost of the plan in the case when 388MB is used

Given that

One time fee is $35

And, it involves 150 MB of data usage

Also for the extra megabyte it charges $0.28

So for 388MB, the cost of the plan is

= $35 + 0.28 × (388 MB - 150 MB)

= $35 + $66.64

= $101.64

Hence, the cost of the plan in the case when 388MB is used is $101.64

Answer:

The margin of error is of 0.038 = 3.8%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

For this problem, we have that:

\(n = 320, \pi = \frac{70}{320} = 0.21875\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(M = 1.645\sqrt{\frac{0.21875(1-0.21875)}{320}}\)

\(M = 0.038\)

The margin of error is of 0.038 = 3.8%.

Answer: 0.500001

Step-by-step explanation: Hope that helps!

Answer:

B

Step-by-step explanation:

use quadratic formula:  (-b ±√b²-4ac) ÷ 2a

a = 10,  b = -9,  c = -6

Answer:

5%

Step-by-step explanation:

1 + 0.05 = 100% + 5%

Answer: 5%

Answer:

51%

Step-by-step explanation:

Count all of the orange squares

After you count them there is a total of 51

The gird has 100 squares

51/100

51%

Given graph is representing 51 percents.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Count all the orange squares

After you count them there is a total of 51

since

The gird has 100 squares

thus,

percentage = 51/100 *100

Percentage = 51%

Therefore, 51 is the percent shown by the model.

Learn more about percentage here:

https://brainly.com/question/29306119

#SPJ

Answer:

Step-by-step explanation:

g

g

g

g

g

g

g

g

g

g

g

gg

g

gg

Answer:

30 minutes

Step-by-step explanation:

1/45 m + 1/90 m = 1

2/9 m + 1/90 m = 1

3/90 m = 1   Multiply both sides by 90/3

90/3 x 3/90 m = 1 x 90/3

m = 90/3

m = 30

Helping in the name of Jesus.

The values of derivatives Δy and dy are given as 0.48 and 4.8

The values of Δy and dy will be calculated using the formula Δy = f(x + Δx) - f(x) and dy = f'(x)dx. For calculating the values, we put the values which are given in the question that is

Δy = f(x + Δx) - f(x)

Δy = f(2 + 0.1) - f(2)

Δy = f(2.01) - f(2)

Δy = 4(2.01)³ - 4(2)³

Δy = 32.48 - 32

Δy = 0.48

Now, we have f(x) = 4x³, so we have f'(x) = 12x²

Now, dy = f'(x)dx

dy = 12x²dx

dy = 12(2)²(0.1)

dy = 4.8

Learn more about Derivatives at:

brainly.com/question/4047704

#SPJ1

There are 13 cards of each suit.

Picking a heart would be 13/52 which reduces to 1/4

Then replacing the card and picking a club would be the same : 1/4

Picking a heart then a club would be 1/4 x 1/4 = 1/16

Answer: 1/16

Answer:

56

Step-by-step explanation:

7x8=56

Step-by-step explanation:

7(8)

= 56

use tye substitution property

Answer: true

Step-by-step explanation:

Paul pays 1/10 of the holiday cost, while Billy pays 1/2 and Joe pays 2/5.

To determine the fraction of the holiday cost that Paul pays, we need to find the remaining portion after Billy and Joe have paid their shares.

Let's start by calculating the sum of the fractions Billy and Joe have paid:

Billy's share = 1/2

Joe's share = 2/5

To find the combined share of Billy and Joe, we add their fractions:

1/2 + 2/5

To add these fractions, we need a common denominator. The least common multiple of 2 and 5 is 10. So, we can convert the fractions to have a common denominator of 10:

1/2 = 5/10

2/5 = 4/10

Now, we can add the fractions:

5/10 + 4/10 = 9/10

Billy and Joe have paid a combined fraction of 9/10 of the holiday cost. To find the fraction that Paul pays, we need to determine the remaining portion, which can be calculated by subtracting the combined fraction from 1 (since 1 represents the whole).

Remaining fraction = 1 - 9/10

= 10/10 - 9/10

= 1/10

Therefore, Paul pays 1/10 of the holiday cost.

for such more question on fraction

https://brainly.com/question/25829061

#SPJ8

Answer:

24

Step-by-step explanation:

I'm pretty sure that it would be division so 120 divided by 5 is 24

Answer:

f(-3) = -6

Step-by-step explanation:

f(x) = x^2 + 4x - 3

f(-3) means to put -3 in place of x and then do the calculation.

f(-3)

= (-3)^2 + 4(-3) - 3

= 9 - 12 - 3

= -3 - 3

= -6

First square -3, its 9. Then multiply -3 and 4, that's -12. Then add everything.

f(-3) = -6

Answer:

1710 students.

Step-by-step explanation:

=>900/10=90

=>90x9=810 (girls)

=>810+900=1710 students in total

Hope this helps! ;)

Answer:

option 1

Step-by-step explanation:

because the x which is the domain cannot be repeated.

Hope I helped :)

Answer:

the second set of ordered pairs is not a function because they all have 1 at the end

Answer: Circumference equals = 27.004
              Area equals = 58.0586

We can write the area and circumferance of the given circle as 18.49π square units and 8.6π units.

Given is that a circle with a radius of 4.3.

We can write the area of the given circle as -

Area = πr²

Area = π x 4.3 x 4.3

Area = 18.49π square units

We can write the circumferance of the given circle as -

circumferance = 2πr

circumferance = 2 x π x 4.3  

circumferance  = 8.6π units

Therefore, we can write the area and circumferance of the given circle as 18.49π square units and 8.6π units.

To solve more questions on circles, visit the link

https://brainly.com/question/28642423

#SPJ2

Answer:

(fg)(-2) = 96

Step-by-step explanation:

\((fg)(-2)=6(-2)^{4} =6(16)=96\)

Hope this helps