39 Points, need this ASAP

If a = -9 and b = -4, what is the value of a + b ?

-5
5
13
-13

Answer:

1:3

n=3

Step-by-step explanation:

1 hour = 60 minutes

20:60

20÷20=1

60÷20=3

1:3

Answer:

it's b extra words. extra words. extra words. extra words

Step-by-step explanation:

I took the test

Answer:

875 square feet.

Step-by-step explanation:

Multiply 350 square feet by 2.5 gallons.

Option B is correct.

Given that   Function G(F(x)) = (x - 5)3 + x - 5 ;

Lets take a function G(x) = x3 + x as (i) and check that it will produce the above equation or not.

Now suppose that the value of the function F(x) = x-5 as (ii) , using this value we will check that whether it support the value for g(x) or not.

Put the value of  function  f(x) in the equation number i , it will be like this :

G(f(x)) = f(x)3 + f(x)

we know that the value of f(x) from (ii)

Therefore, G(f(x)) will be :

G(f(x)) =  (x - 5)3 + x - 5, this will satisfy the above equation which means our supposition was correct. Hence the correct ans is B

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Check the picture below.

so the rocket will hit the ground when y = 0, so hmmm, there's no simple factoring that'd give us integers, so we'll plug the quadratic into the quadratic formula

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+240}x\stackrel{\stackrel{c}{\downarrow }}{+115} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (240) \pm \sqrt { (240)^2 -4(-16)(115)}}{2(-16)} \implies x = \cfrac{ -240 \pm \sqrt { 57600 +7360}}{ -32 }[/tex]

[tex]x= \cfrac{ -240 \pm \sqrt { 64960 }}{ -32 }\implies x=\cfrac{ -240 \pm 8\sqrt { 1015 }}{ -32 }\implies x=\cfrac{ 240 \mp 8\sqrt { 1015 }}{ 32 } \\\\\\ x=\cfrac{ 30 \mp \sqrt { 1015 }}{ 4 }\implies x\approx \begin{cases} -0.46\\\\ 15.46 ~~ \textit{\large \checkmark} \end{cases}[/tex]

now, let's notice, "x" cannot be negative, so the negative value is tossed.

0.0147 is the standard deviation for the number of people .

How to interpret a standard deviation?

standard deviation = sqrt(p*(1-p)/n)

                                = sqrt(0.07 * 0.93/300)  

                               = 0.0147

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Answer: -4.2c + 4.8d

Step-by-step explanation:

Multiply each number by 0.6 to get -4.2c + 4.8d.

Answer: length C to A is .001 and c to b is 0.03 and b to a is 0.04

Step-by-step explanation:

He can wear 24 different  outfits can he wear to school .

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

Given:

Juan owns 8 pairs of pants, 1 shirt, 3 ties and  1 jacket

So, number of outfits can he wear to school is

= 8 x 1 x 3 x 1

=24

Hence, he can wear 24 different  outfits can he wear to school .

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Using the concept of linear equation in one variable, it is concluded that the total number of students who will go on the trip are 40.

An equation that contains only one variable and has its degree one is called a linear equation in one variable. The general form of linear equation in one variable is ax + b = 0, where a and b are real numbers and a ≠ 0.

Given that food and lodging charge per student = $ 60

Charge per student for bus = $ 40

And the amount paid for the cleaning fee for the bus = $ 30

Let the total number of students who are going on the trip = x

Now, the Total charge for food and lodging = $60x

The total charge for bus fare = $ 40x

Given that total cost paid = $ 4030

Hence, $60x + $40x + $30 = $4030

$100X = $4030 - $30

$100X = $4000

x = 40

Hence, the total number of students who will go on a trip is 40.

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Answer: 16r²s²=(4rs)²

Step-by-step explanation:

[tex]16r^2s^2=\\\\4^2r^2s^2=\\\\(4rs)^2[/tex]

Answer:

x=6

Explanation:

16-(x+5)=15

Answer:

[tex]y=-\frac{1}{4}x-\frac{1}{4}[/tex]

Step-by-step explanation:

To find the equation in slope-intercept form, isolate [tex]y[/tex].

[tex]4y+x=-1 \\ \\ 4y=-x-1 \\ \\ y=-\frac{1}{4}x-\frac{1}{4}[/tex]

The number of bicycles that must be manufactured to minimize the cost of 250 and the minimum cost is $11,500.

In the given question,

The cost C in dollars of manufacturing x bicyles at a production plant is given by the function shown below;

C(x) = 3x^2-1500x+199,000

(a) In the given question we have to find the number of bicyles that must be  manufactured to minimize the cost.

The given function is

C(x) = 3x^2-1500x+199,000

To find the maximum or minimum value we firstly find the value of f'(x).

C'(x) = 6x-1500

Now put f'(x)=0

6x-1500=0

Add 1500 on both side, we get

6x=1500

Divide by 6 on both side we get

x=250

Hence, the number of bicycles that must be manufactured to minimize the cost of 250.

(b) Now finding the value of function at x=250

C(250) = 3(250)^2-1500*250+199,000

C(250) = 3*62,500-375,000+199,000

C(250) = 187,500-375,000+199,000

C(250) = 11,500

The minimum cost is $11,500.

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Answer: -33/5

Step-by-step explanation:

Answer:

X²+4X-5 without a reminder

The sequence that can be defined by the recursive formula is (c) 4, 2.75, 1.5...

The function definition is given as

f(1) = 4

f(n + 1) = f(n) - 1.25 for n ≥ 1

Set n = 1

So, we have the following representation

f(1 + 1) = f(1) - 1.25

This gives

f(2) = f(1) - 1.25

So, we have

f(2) = 4 - 1.25 = 2.75

Set n = 2

So, we have the following representation

f(2 + 1) = f(2) - 1.25

This gives

f(3) = f(2) - 1.25

So, we have

f(3) = 2.75 - 1.25 = 1.5

So, we have

4, 2.75, 1.5...

The sequence that matches 2.75, 1.5... in the options is (c) 4, 2.75, 1.5...

Hence, the sequence is (c) 4, 2.75, 1.5...

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Answer:

C

Step-by-step explanation:

Because i got it right

The correct answers are His sample was not drawn at random ,he ought to purchase more fat-free donuts, he may look at the data's histogram to see whether it is roughly typical.

Given that, Bjorn is attempting to calculate the difference between the average sugar level of two distinct kinds of donuts: a fat-free kind and a full-fat variety.

He gathers 60 donuts to test in order to do this: There are 22 fat-free donuts and 38 full-fat donuts. The correct answers are A, D and E He did not get a random sample He should get more fat free donuts He could check the histogram of the data to see if it's approximately normal

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Answer:

1. 1

2. 1

Step-by-step explanation:

Step 1

recall the eqn of a line y = mx + c

where m is the slope

step 2

compare you eqn given with the eqn y = mx + c

y = mx + c

y = 1 x + 17

then m = 1 which is slope.

both qns follows the same procedure

The motel revenue based on the number of rooms rented and group rental are as follows;

(a) The price for renting three rooms is $195

(b) The formula through which the unit rate of a room is found is aₙ = 71 - 3·(n -1)

(c) The function for the revenue, R(n) = 74·n - 3·n²

(d) The most amount that can be made is $456

The number of rooms that gives the most amount is 12 rooms

A revenue is the total amount received for the sale of goods and services

The number of rooms in the motel = 44

The price for renting one room = $71

The price for renting two rooms = $68

The per room group rate = $71 - $3 for each additional room
(a) The amount made if a family rents three rooms is given as follows;

The unit price for two rooms = $71 - $3 = $68

The unit price for three rooms = $68 - $3 = $65

The price for the three rooms is therefore;

$65 × 3 = $195

(b) The formula that gives the rate charged for each room to an organization is an arithmetic progression, which can be expressed as follows;

aₙ = a₁ + (n - 1)·d

Where;

n = The number of rooms the organization plans to rent

a₁ = The first term of the arithmetic progression = 71

d = The common difference = -3

Which gives;

aₙ = 71 - 3·(n - 1)

The price for each room when an organization rents n rooms is therefore;

aₙ = 71 - 3·(n - 1)

(c) The revenue for renting n room is given by the formula;

Revenue, R(n) = Unit rate × Number of rooms

∴ R(n) = (71 - 3·(n - 1)) × n = 74·n - 3·n²

(d) The -ve coefficient of n² in the formula with which the revenue can be found indicates that the function has a maximum value. The number of rooms that gives the most revenue is obtained at the from the derivative of the R(n) as follows;

R'(n) = 74 - 6·n = 0

n = 74/6 ≈ 12

Which gives;

[tex]R_{max}[/tex] = R(12) = 74 × 12 - 3 × 12² = 456

The maximum revenue from renting to a single group ≈ $456

The number of rooms to rent that gives the maximum revenue is n ≈ 12

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In a sequence of first term-10 and the 2nd term is 1. the 5th term of this sequence is -17

information given in the question

The 1st term of a certain sequence is -10

the 2nd term is 1

Each subsequent term is obtained by adding the 2 immediately preceding terms

the 5th term of this sequence = ?

Each subsequent term is obtained by adding the 2 immediately preceding terms. This statement means is applied as below

Therefore:

third term

3rd term

= first term + 2nd term

= -10 + 1

= -9

4th term

= 3rd term + 2nd term

= -9 + 1

= -8

5th term

= 4th term + 3rd term

= -9 + -8

= -9 - 8

= - 17

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From a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25

The set of whole numbers = {0, 1,2,3,4,5.....}

The set of whole numbers less than 25 = {0,1,2,3,4,......,24}

The numbers divisible by 5 = {5, 10, 15, 20}

The numbers divisible by 3 = {3, 6, 9, 12, 15, 18, 21, 24}

The common term is 15

The probability = Number of favorable outcomes /  Total number of outcomes

The number of favorable outcome = 11

Total number of outcomes = 25

Substitute the values in the equation

The probability = 11/25

Hence, from a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25

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Answer: $2.08

Step-by-step explanation: First multiply $52 by 4% as a decimal or 0.04. Then, multiply that by the number of years.
=52(0.04)(1)

=2.08

Answer:

The angle-angle-side postulate. A.A.S

Step-by-step explanation:

Answer:

Step-by-step explanation:

NOSEEEEEE

The correct option c) 120; for the assignment of 7 students to 10 seats in a row.

The formula for finding the combination is-

ⁿCₓ = n!/ x!(n - x)!

Where,

For the given question.

Total students to be assigned a seat = 7.

Total seats in a classroom = 10.

Thus, Applying combination;

¹⁰C₇ = 10!/7!(10 - 7)!

¹⁰C₇ = 120

Thus, if there are 10 seats in a row, there are 120 different ways that 7 students could be seated in a classroom.

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