f(x) = -4x + 5 and g(x) = x2 + 2
Find (f + g)(x)

Answer:

1.25 inches

Step-by-step explanation:

0.5 = 2 feet

? = 5 feet

Divide 2 by 5 to find how many times to multiply 0.5 by:

5 ÷ 2 = 2.5

Multiply the two values together:

2.5 x 0.5 = 1.25

So the length is 1.25 inches.

Hope this helps!

Answer:

Step-by-step explanation:

10 feet............................6 seconds

?......................................45 seconds

? feet=10*45/6=75 feet

75 feet in 45 seconds

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

Hope this helps you understand...

Answer: The definition of a complementary angle is "Either of two angles whose sum is 90°." Thus the complementary angle for 4 is angle 5.

P.S. if you feel this answer is satisfactory I would appreciate it if you would mark it brainiest.

Answer:

0.25

Step-by-step explanation:

1/4 to a decimal is 0.25.

Answer:

Board A

Step-by-step explanation:

Since the boards were split into equal sections, we can think of them as fractions.

\(\frac{5}{9}\) of Board A was used, meaning \(\frac{4}{9}\) of Board A remains.

\(\frac{4}{7}\) of Board B was used, meaning \(\frac{3}{7}\) of Board B remains.

To give these fractions common denominators, we multiply the numerator and denominator by the opposite denominator.

4/9 * 7/7 = 28/63

3/7 * 9/9 = 27/63

28/63 is greater than 27/63. This means that Board A has the longest remaining section.

Board A has the longest portion remaining section.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Two​ 8-foot-long 2​ × 4s are cut into sections of equal length. Board A is cut into 9 equal​ sections, of which 5 are used. ​

To determine the longest remaining​ section, Board A or Board​ B

The boards can be considered as ratios since they have been divided into equal portions.

5/9 of Board A was used, while Board A's significance is still unchanged.

4/7 of Board B was used, while Board B's significance is still unchanged.

We multiply the numerator and denominator by the opposing denominator to give these ratios common denominators.

⇒ 4/9 * 7/7 = 28/63

⇒ 3/7 * 9/9 = 27/63

So 27/63 is greater than 28/63.

This indicates that Board A has the longest portion remaining section.

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Step-by-step explanation:

starting salary = $35,000

raise in 1 year = $2500

raise in 7 year = $17,500

salary on 7th year = $35,000 + $17,500

= $52,500

Answer:

log base of 8 of 1

Step-by-step explanation:

i did this

Answer: 75%

Step-by-step explanation: 0.15/0.2=0.75

The probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Pedro observed what customers ordered at his ice cream shop and found the following probabilities:

P(Vanilla) = P(V) = 0.3

P(Sundae) = P(S) = 0.2

P(Vanilla and Sundae) = P(V and S) = 0.15

To find the probability that a customer ordered Vanilla ice cream given they ordered a Sundae:

P(V|S) = P(V and S)/P(S)

P(V|S) = 0.15/0.2

P(V|S) = 0.75 or 75%

Thus, the probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%

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Answer:

The answer is 10,650. Just use the calculator next time you get one of these questions. :D

Answer:

Sure.. the answer is 10650.

Step-by-step explanation:

here's how.

first, Simplify 4 × 2 to 8.

\(6 + 4 - 8 + 22 ^{3} \)

then, turn 22³ into exponent from and solve.

\(6 + 4 - 8 + 10648\)

now, Simplify 6 + 4 to 10.

\(10 - 8 + 10648\)

and now, Simplify 10 - 8 to 2

\(2 + 10648\)

lastly, add 2 + 10648 to 10650.

\(10650\)

hence, the answer is 10650.

(a) This study is observational because the consultant is not manipulating any variables or imposing treatments on the machines.

(b) The factors are:

Machine (experimental factor): There are six machines, labeled A through F.

Carton (observational factor): There are 20 cartons selected randomly from each machine.

Deviation from 32 ounces (response variable): This is the weight difference between the actual fill amount and the target fill amount of 32 ounces.

The factor levels are:

Machine: A, B, C, D, E, F

Carton: 1, 2, 3, ..., 20

The factor-level combinations are all possible pairs of machine and carton, such as A-1, A-2, ..., F-20.

(c) This is a nested design because the 20 cartons selected from each machine are not interchangeable between machines.

(d) Here's an example code snippet in R to import the data and display the structure of the dataframe:

data <- read.csv("filling_machine_data.csv")

data$Machine <- factor(data$Machine)

levels(data$Machine)

Assuming the data is stored in a CSV file called "filling_machine_data.csv", the code reads in the data, coerces the Machine variable to a factor, and displays the factor levels of Machine

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Answer:

A. x=4 y=11

Step-by-step explanation:

y=x+7

y=-2(y-7)+19

y=-2y+14+19

y=-2y+33

y+2y=33

y(1+2)=33

y=33/3

y=11

x=4

1.The probability of winning $20 is 1/200.

2.The probability of winning $1500 is 1/7500.

3.The probability of winning $20000 is 1/200000.

4. the probability of not winning anything is 0.9989375

1.The probability of winning $20 is

P(winning) = p(winning chance)/total

                   =1/200.

2.The probability of winning $1500 is

P(winning 1500) = p(winning chance)/total

                           = 1/7500.

3.The probability of winning $20000 is

P(winning) = p(winning chance)/total

                    =1/200000.

4.To find the probability of not winning anything, you can subtract the sum of the probabilities of winning $20, $1500, and $20000 from 1. This is 1 - (1/200 + 1/7500 + 1/200000) = 1 - 0.0010625 = 0.9989375

Probability is a mathematical concept used to measure the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. In general, the probability of an event can be calculated as the number of favorable outcomes divided by the number of possible outcomes.

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Answer:

\(=2(2x-5)(x+1)\)

Step-by-step explanation:

So we have the trinomial:

\(4x^2-6x-10\)

First, factor out a 2:

\(=2(2x^2-3x-5)\)

Now, factor within the parentheses.

To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b

(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.

-5 and 2 works. Therefore:

\(=2(2x^2-3x-5)\)

Replace -3x with 2x and -5x:

\(=2(2x^2+2x-5x-5)\)

Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:

\(=2(2x(x+1)-5(x+1))\)

Grouping:

\(=2(2x-5)(x+1)\)

And we're done!

Answer:

6

Step-by-step explanation:

Answer:

Option d: n = 36, p = 0.97, x = 36.

Step-by-step explanation:

We are given that a soup company puts 12 ounces of soup in each can. The company has determined that 97% of can have the correct amount.

We have to describe a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled.

Let X = Number of cans that are properly filled

The above situation can be represented through binomial distribution;

\(P(X = x) = \binom{n}{x} \times p^{x} \times (1-p)^{n-x} ; x = 0,1,2,........\)

where, n = number of trials (samples) taken = 36 cans

            x = number of success = all cans are properly filled = 36

            p = probabilitiy of success which in our question is probability that

                  can have the correct amount, i.e. p = 97%

So, X ~ Binom (n = 36, p = 0.97)

Hence, from the options given the correct option which describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled is n = 36, p = 0.97, x = 36.

Answer:

Sum of all the sides.

Step-by-step explanation:

Perimeter is the sum of the distance in length or width, or height or circumference of all the sides of an object.

Therefore the sum total of the given sides V, W, x ,Y, Z are;

15 +20 + 25 + 7 + 22 = 89cm

Since a picture isn't available to know which sides of the objects can be added.

Answer:

? = 36

Step-by-step explanation:

Knowing that 3/5 and 24/40 is equal

Therefore we can either use:

3/5 = ?/60 or 24/40 = ?/60

I will use 3/5 = ?/60

Let ? = x

Hence we have

3/5 = x/60

Multiply both sides by 10

6 = x/6

Multiply both sides by 6

x = 36

Therefore, the question mark = 36

Let's check the answer by Simplifying the fraction:

3/5 = 36/60

3/5 is in already simplify

36/60 simplify = 3/5

3/5 = 3/5

Thus, the question mark = 36

[RevyBreeze]

Step-by-step Solution:

Let the "?" be known as "x".

Given equation:

3/5 = 24/40 = x/60

Therefore, we obtain the following equations:

Clearly, the second and the third equation have the "x" variable included. Therefore, we will only focus on the second and third equations.

Note: We can choose any equation to solve for x. The value of x in both equations will be the same as 3/5 = 24/40.

Determining the "x" variable in Equation 2:

Determining the "x" variable in Equation 3:

Therefore, the value of "?" is 36.

We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

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Answer:the last one

Step-by-step explanation:

Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Answer:

╭━━━╮

┃╭━╮┃

╰╯╭╯┃

╭╮╰╮┃

┃╰━╯┃

╰━━━╯

Step-by-step explanation:

Answer:

-63

-56 + -7 = -63

Answer:

The answer would be 8

-56/-7 = 8

negative times negative or negative divided by negative always equals positive

Hope this helps:)

Step-by-step explanation:

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

15+2y

Step-by-step explanation:

take y to the other side

Answer:

a. always, remain

b. always, remain

c. never, not remain, not remain

d. always, an equal distance, all

e. never, would not, all

Step-by-step explanation:

They are all correct, hope this helps -w-

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !