Which of the following represents *picture attached*

Answer: 5.6 ≤ x ≤ 24.13.

Step-by-step explanation:

Given, The graph of the function[tex]P(x) = -0.74^2 + 22x + 75[/tex] . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.

In graph , On axis → number of calculators produced

On y-axis →  profit made in thousands of dollars.

From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)

So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.

So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.

The constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.

Functions are the connection between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
To keep the profits at or above $175,000, we need to solve the inequality P(x) ≥ 175. Let's substitute P(x) with its expression and solve for x:

P(x) = −0.74x² + 22x + 75

−0.74x² + 22x + 75 ≥ 175

−0.74x² + 22x − 100 ≥ 0

0.74x² − 22x + 100 ≤ 0 (dividing by -1 and changing the direction of the inequality)

Now we can solve this quadratic inequality by finding the zeros of the corresponding quadratic equation:

0.74x² − 22x + 100 = 0

Solving this equation, we get x = 5.6 and x = 24.13.

So, the solution to the inequality is 5.6 ≤ x ≤ 24.13.

Therefore, the constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.

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Answer:

7.5ml

Step-by-step explanation:

20/10=15/x

20x=10(15)

20x=150

x=150/20

x=7.5

So you’d add 7.5ml of NaCl to the 1,000ml IV.

Answer:

There is a typo! Please fix this so I can answer

Step-by-step explanation:

Answer:

an=1*2.5^(n-1)

=2.5^(n-1)

Step-by-step explanation:

Complete question below:

What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

Solution

Point (1, 1), (2, 2.5), (3, 6.25).

a=1

ar=2.5

ar^2=6.25

From ar and ar^2

r=6.25/2.5

=2.5

r=2.5

an=ar^(n-1)

Therefore, the explicit formula is

an=1*2.5^(n-1)

=2.5^(n-1)

Answer:

I hope it will help uh......

Answer:

Hey there!

She wants an 93, so we write the equation: [tex]\frac{87+96+98+90+92+x}{6}=93[/tex]

Multiply both sides by 6 to get: [tex]87+96+98+90+92+x=558\\[/tex]

Simplify: 463+x=558

Subtract 463 to get that x=95.

Thus, she must score a 95 to get a A as a final grade.

Hope this helps :)

Answer:

Sally must get 95% in her sixth test!

Step-by-step explanation:

To get an average of 93 over 6 tests, the total must be

6*93 = 558

Therefore the sixth test she must get

S = 6*93 - 87 -96 -98 -90 -92 = 95

Answer:

x=11.2

Step-by-step explanation:

Add the equations.

-10y=40

y=-4

input y

5x-8=48

5x=56

x=56/5

x=11.2

Answer:

x = 11.2 and y = -4

Step-by-step explanation:

Add the two equations

-5x -12y = -8

5x+2y = 48

-------------------

-10y = 40

Divide by -10

-10y/10 = 40/-10

y = -4

5x+2y = 48

5x +2(-4) = 48

5x -8 = 48

Add 8 to each side

5x = 56

Divide by 5

5x/5 = 56/5

x = 56/5

x =11.2

==========================================

Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

---------

You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\[/tex]

As you can see, we get the same result and note how 1320/6 is also present as well.

The greatest number of different 3-person teams that can be chosen is 220.

We can use combinations for this case,

The Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Consider the set {A,B,C}.

3*2*1 = 6 ways to arrange this set of letters.

When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC.

We can use the combination formula with n = 12 and r = 3.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^{12}C_3= \dfrac{12!}{3! \times (12-3)!} ways.\\\\\\^{12}C_3= \dfrac{12!}{3! \times (9)!} ways.\\\\^{12}C_3= \dfrac{12 \times 11 \times 10 \times 9}{3! \times (9)!} ways.[/tex]

1320/6 = 220

Thus, the greatest number of different 3-person teams that can be chosen is 220.

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Answer:

Step-by-step explanation:

f(1)=45*4/5

=9*4

=36

Answer:

6

Step-by-step explanation:

2(7)-(-4)/3

(14+4)/3

18/3

=6

If it's right can i get brainliest.

Answer:

D) 6

Step-by-step explanation:

Plug in the values of a & b

[tex]\frac{/2a/-b}{3}= \frac{/2*7/-[-4]}{3}\\\\=\frac{/14/ + 4}{3}\\\\=\frac{14+4}[3}\\\\=\frac{18}{3}\\\\=6[/tex]

Answer:

[tex]\boxed{35\°}[/tex]

Step-by-step explanation:

Angle 1 is 55 degrees.

The whole angle of the upward left corner is 90 degrees.

[tex]90-55=35[/tex]

Corresponding angles are equal. The 35 degrees angle and angle 2 are corresponding angles.

Angle 2 is 35 degrees.

Answer: the correct answer is W or the first one

Step-by-step explanation:

All you do is transform the graph :)

I hope I helped, if i did please mark brainliest!! Thank you!!

Answer:

Jordan weighs 120 pounds, Sam weighs 60 pounds

Step-by-step explanation:

We can create an equation 2s=J. Our second equation is S+J=180. We can substitute J for 2s and our new equation will be 3s=180. We can divide 3 from both sides and we get s= 60. And we know that Jordan weighs two times as sam, then Jordan weighs 120 pounds.

Answer: Jordan=120. Sam=60

Step-by-step explanation: Together they weigh 180 pounds Jordan weighs twice as much as sam. We can write their values as Sam=x and Jordan=2x then we can make a equation

2x+x=180

3x=180

x=60

Then we can substitute x in Jordan and sams values to get our final answe;

Jordan=120. Sam=60

Answer:

2/52 or 1/26 or 0.0385 or 3.85%

Step-by-step explanation:

There are 2 black 10's in a standard 52 card deck.

2/52 or 1/26 or 0.0385 or 3.85% (depending on how your teacher wants it expressed)

Complementary angles add together to equal 90 degrees.

R = 90 - 33.8

R = 56.2 degrees.

Answer:

Step-by-step explanation:

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Answer:

3, 17

Step-by-step explanation:

1st number = x

2nd number = 4x+5

x+4x+5=20

5x=15

x=3

1st number = 3

2nd number = 4(3)+5=12+5=17

Answer:

Center : (0,-2), R=6

Step-by-step explanation:

x² + y² + 4 y = 32

x² + y² +4 y+4=36

x² + (y+2)²=36

Center : (0,-2), R=6

Answer:

H1 H2 H3 H4 H5 H6

T1 T2 T3 T4 T5 T6

Step-by-step explanation:

When we roll a die we get 1,2,3,4,5,6

When get flip a coin get get H or T for heads or tails

The top right lists the possible outcomes, one for the heads or tails and one of the die outcomes

H1 H2 H3 H4 H5 H6

T1 T2 T3 T4 T5 T6

Answer:

H1 H2 H3 H4 H5 H6

T1 T2 T3 T4 T5 T6

Step-by-step explanation:

Answer:  see image

Step-by-step explanation:

Count how many spaces the vertex is away from the line x = -1.  Then place that vertex the same distance on the other side of the line x = -1.

Answer: Experimental probability

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The sample space will have 4 outcomes.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Jill has two dimes she is going to use to perform a probability experiment. The sample space looks as if she flips the two dimes simultaneously​ as shown below. The sample space will have 4 outcomes.

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Answer:

when the distance driven per day is 100 miles

Step-by-step explanation:

Start by writing an equation for the daily charge of each company

Let's call p(x) what the primo car rental charges per mile "x", and let's call u(x) what ultimo rental charges;

p(x) = 24 + 0.4 x

u(x) = 38 + 0.9 x

when would u(x) be twice the p(x) charge?

u(x) = 2 p(x)

38 + 0.9 x = 48 + 0.8 x

0.9 x - 0.8 x = 48 - 38

0.1 x = 10

x = 100

so, such happens when the distance driven per day is 100 miles

Answer:

  A) True

Step-by-step explanation:

The ordered pair for the first expression is ...

  y = f(x)

  -3 = f(1)

  (x, y) = (1, -3)

The ordered pair for the second expression is ...

  y = f^-1(x)

  1 = f^-1(-3)

  (x, y) = (-3, 1)

The second ordered pair is the reverse of the first, so represents a point described by the inverse function. The statement is True.

Answer:

5 is a constant. (it has no variables)

x + 2 is not a constant. It does, however, have two terms, x and 2.

(terms are seperated by addition/subtraction)

This rules out a and b.

As for c... 5(x+2) implies multiplication, which would be a product, not a sum.

The product of a constant factor 5 and a 2-term factor x+2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

5(x + 2)

The constant factor is 5. x + 2 is not constant.

The brackets represent multiplication.

Answer:

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Step-by-step explanation:

A prism has a volume of 238 cubic millimeters.

A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.

Which is the correct substitution for finding the length of the prism?

A. V = l w h. 238 = l + 8 and one-half + 3 and one-half

B. V = l w h. V = 238 times 8 and one-half times 3 and one-half

C. V = l w h. l times 8 and one-half times 3 and one-half

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

From the question

V=lwh

Volume of a prism=length)(width)(height)

Volume=238

l= l mm

w= 8 1/2

h= 3 1/2

Substituting all the values

V=lwh

238= l * 8 1/2 * 3 1/2

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Answer:

D

Step-by-step explanation:

got it right on edge 2020

Answer:

Step-by-step explanation:

          0.3, 0.5, 0.9, 1.1

I added a PowerPoint that I made so that if you didn't understand it you could read off of it.

Answer:

[tex]0.3[/tex]                                                            - written in [tex]2/14/2021[/tex]

Step-by-step explanation:

The answer is [tex]0.3[/tex] because, [tex]\frac{0.9+0.5+0.3+1.1}{4} =\frac{2.8}{4} =0.7[/tex], so [tex]0.7[/tex] is the mean. After having found the mean, we have to subtract [tex]0.7[/tex] from the numbers, or the numbers from [tex]0.7[/tex]:

Data Point    |   Distance from the mean

[tex]0.9[/tex]                  |    [tex]0.9-0.7=0.2[/tex]

[tex]0.5[/tex]                  |    [tex]0.7-0.5=0.2[/tex]

[tex]0.3[/tex]                  |    [tex]0.7-0.3=0.4[/tex]

[tex]1.1[/tex]                  |     [tex]1.1-0.7=0.4[/tex]

After finding out the Distance from the mean we'll use their sums and add them all up: [tex]0.2+0.2+0.4+0.4[/tex], then divide them by [tex]4[/tex] because there are [tex]4[/tex] numbers combined together: [tex]\frac{0.2+0.2+0.4+0.4}{4}=\frac{1.2}{4}=0.3[/tex].

So that's why the answer is [tex]0.3[/tex] (Happy Valentines Day!)

Answer:

90601

Step-by-step explanation:

we have to find  smallest number by which 2408 should be multiplied to get a perfect cube.

First lets find prime factor of 2408 and power these prime factors have

2408 = 2*1204 = 2*2*602 = 2*2*2*301= 2*2*2*7*43

thus,

2408 = 2^3*7*31

we know that a cube is a number raised to the power three

in 2408

2 has a power of three

but 7 and 31 and there is power of one,

thus we need to make

power of 7 and 31 three by multiplying

7 with 7*7

and 31 with 31*31

thus,

2^3*7*31*7*7*31*31 is the minimum cube value for this number

2^3*7*31*7*7*31*31 = 2^3*7^3*31^3 = 2408 * 7^2*31^2 = 2408*90601

Thus, smallest number which should be multiplied with 2408 to make it a perfect cube is 90601

Answer:

Step-by-step explanation:

B=3x-2

C=12x+2

D=B=3x-2 (Vertically opposite angles)

A=?

Now; we know, A+B+C+D=360 deg.

=>A=360-(B+C+D)

  =360-(3x-2+12x+2+3x-2)

  =360-(18x-2) ----[1]

B+C=180 deg. (linear pair)

=> 3x-2+12x+2=180

=> 15x=180

=> x=180/15

   =12 ---[2]

subsitute [2] in [1];

=> A= 360-(18x-2)

   = 360-(18*12-2)

   = 360-(116-2)

   = 360-214

   = 146 deg.

So, the correct answer is (D).

Hope the answer is useful.  

Answer:

Step-by-step explanation:

Given,

< B = 3x - 2

<C = 12x + 2

Let's find the value of X

<B + < C = 180° ( sum of angle in straight line)

plug the values

[tex]3x - 2 + 12x + 2 = 180[/tex]

Collect like terms

[tex]15x - 2 + 2= 180[/tex]

Since, two opposites add up to zero, remove them from the equation

[tex]15x = 80[/tex]

Divide both sides of the equation by 15

[tex] \frac{15x}{15} = \frac{80}{15} [/tex]

Calculate

[tex]x = 12[/tex]

Replacing value,

<C = 12x + 2

plug the value of X

[tex] = 12 \times 12 - 2[/tex]

Multiply the numbers

[tex] = 144 + 2[/tex]

Calculate the difference

[tex] = 146[/tex]

The measure of <C is 146°

Here,

<A = < C ( being vertically opposite angles)

Vertically opposite angles are always equal.

<A = 146

Hence, Option D is the correct answer.

Hope this helps...

Best regards!!

Answer:

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Step-by-step explanation: