A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 60% pure antifreeze. The company wants to obtain 240 gallons of mixture that contains 15% pure antifreeze . How many gallons of water and how many gallons of the premium antifreeze solutin must be mixed?

Using translation concepts, it is found that the equation of F(x) could be given by:

A. F(x) = -x² - 4.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the function g(x) = x² was reflected over the x-axis and shifted 4 units down, hence f(x) is given by:

A. F(x) = -x² - 4.

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Answer:

(it won't let me paste a graph here)

(but it a / line on the graph.)

Step-by-step explanation:

Use Desmos Graphic Calculator, plot this equation in and it should show up a graph of that. : )

Answer:

I believe it would be C

Step-by-step explanation:

71+36=107

180-107=73

it don't make sense for it to be right because none of the angles are 90°

The sampling method that would be most likely to result in self-selection bias is given by:

D. handing out a questionnaire to seniors only

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, in option D, only seniors are involved, that is, it does not involve all segements, hence it would be most likely to result in self-selection bias.

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Answer: C. handing out a questionnaire to students leaving campus at lunchtime

Step-by-step explanation:

Answer:

Step-by-step explanation:

EH=w

then it is as simple as pluggin in

gh=4(eh)-51

Find the Reference Angle (4pi)/7 4π 7 4 π 7 Since the angle 4π 7 4 π 7 is in the second quadrant, subtract 4π 7 4 π 7 from π π.

Thus, [tex]\frac{3\pi }{7}[/tex] is your answer

Answer:

Mixed Doubles Tennis

Step-by-step explanation:

The key word is "mixed." In this case it means a male and female competitor

Since both x + 1 and x - 1 are factors of f(x), we have the factorization

x³ + 2ax + b = (x + 1) (x - 1) (x - b)

where the last root must be x = b in order that b is the constant term in the cubic.

Expanding the right side and equating coefficients gives

x³ + 2ax + b = x³ - bx² - x + b

which tells us

-b = 0   ⇒   b = 0

2a = -1   ⇒   a = -1/2

Then we have

f(x) = x³ + 2 (-1/2) x + b = x³ - x

or

f(x) = x (x + 1) (x - 1)

Turn over into vertex form

Solving

Open brackets

Accurating

Compare to Vertex form y=a(x-h)²+k

Vertex

Max profit is $897.5

Answer:

$7.50

Step-by-step explanation:

Completing the square formula

[tex]\begin{aligned}y & =ax^2+bx+c\\& =a\left(x^2+\dfrac{b}{a}x\right)+c\\\\& =a\left(x^2+\dfrac{b}{a}x+\left(\dfrac{b}{2a}\right)^2\right)+c-a\left(\dfrac{b}{2a}\right)^2\\\\& =a\left(x-\left(-\dfrac{b}{2a}\right)\right)^2+c-\dfrac{b^2}{4a}\end{aligned}[/tex]

[tex]\begin{aligned}P & =-30t^2+450t-790\\& =-30\left(t^2+\dfrac{450}{-30}t\right)-790\\\\& =-30\left(t^2+\dfrac{450}{-30}t+\left(\dfrac{450}{2(-30)}\right)^2\right)-790-(-30)\left(\dfrac{450}{2(-30)}\right)^2\\\\& =-30\left(t-\left(-\dfrac{450}{2(-30)}\right)\right)^2-790-\dfrac{450^2}{4(-30)}\\\\& =-30(t-7.5)^2+897.5\end{aligned}[/tex]

Therefore, the vertex is (7.5, 897.5)

So the ticket price that maximizes daily profit is the x-value of the vertex:  $7.50                    

Answer: 22

Step-by-step explanation:

    See attached. The box-and-whisker plot gives us all the information we need to solve.

Minimum: 13

Maximum: 35

Range: 22

-> 35 - 13 = 22

Median: 20.5

Answer:

36 degrees

Step-by-step explanation:

We do bottom triangle first:

33+90=123. 180-123=57

Go to upper tri: 90-57=33

111+33=144. 180-144=36.

?=36 degrees

Hope it helps

Answer:

4 times

Step-by-step explanation:

because there's only enough space for that many in each row.

Answer:qjs

Step-by-step explanation:

A

X= -7 to 1

Y= -8 to 9

B

X= -40 to 20

Y= -30 to 10

Answer:

BD

Step-by-step explanation:

Answer: The Sun

Step-by-step explanation:

Energy has existed from the beginning of time. The sun was the initial source of energy, providing heat and light during the day. People used light to wake up and sleep, depended on wood and dung for heat, and water power to run primitive mills.

Answer:

x² - 22x + y² - 6y + 121 = 0

Step-by-step explanation:

General Form of Equation

Solving

Answer:

(x+11)2+(y−3)2=81

mark me brainliest

Step-by-step explanation:

Answer:

181.06

Step-by-step explanation:

Answer:

1 11/64 inches

Step-by-step explanation:

Total thickness

Answer:

see below

Step-by-step explanation:

-2> x ≥ -7    can be written as   -7 ≤ x < -2

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The Margin of error in this survey is 1%.

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.

The random sample of 2500 sports fans, out of which 61% prefer basketball over soccer, therefore, we can write n=2500 and p=0.61. Thus, the margin of error can be written as,

[tex]MOE=\sqrt{\dfrac{\hat p(1-\hat p)}{n}} = \sqrt{\dfrac{0.61(1-0.61)}{2500}} = 0.00975 = 0.975\% \approx 1\%[/tex]

Hence, the Margin of error in this survey is 1%.

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Answer:

935

Step-by-step explanation:

Let's solve the rectangle first.  We are dividing this figure into two sepreate shapes, can you see that?

-

1/2*B*h

630

-

Now for the other shape.

Volume = 315

630+315=935

Answer: 1323

Step-by-step explanation: took test with proof and more

Answer:Which four inequalities can be used to find the solution to this absolute value inequality?3+2|x-11 <9

2(x - 1) <-3

x-1 <9

X-1 >-9

-2(x - 1) > 3

x-1-3

X-1 <3

Step-by-step explanation:

There is no document, so nobody could answer.

Step-by-step explanation:

this is again a combined object.

at the bottom there is a cylinder.

and on top there is half of a sphere (I assume it is a sphere, because there is no additional information about its height, and we could therefore not solve this otherwise).

for the total volume we need to calculate both volumes and add these results.

for the total surface area we need to calculate both surface areas, but remove the top surface area of the cylinder, because the half-sphere is covering it.

so, let's start with the volume :

the volume is a cylinder is

ground area × height = pi×r² × height

the radius is half of the diameter, so, r = 18/2 = 9 ft.

in our case that gives us

pi×9² × 10 = pi×81 × 10 = 810×pi = 2,544.690049... ft³ ≈

≈ 2,544.7 ft³

the volume of a sphere is

pi×r³ × 4/3

and of a half-sphere therefore

pi×r³ × 4/3 / 2 = pi×r³ × 2/3 = pi×9³ × 2/3 = pi×9² × 2 =

= pi×81 × 2 = 162×pi = 508.9380099... ft³

≈ 508.9 ft³

the total volume is then

3,053.628059... ft³ ≈ 3,053.6 ft³

the surface area :

the surface area of a cylinder is

the areas of the circles on the top and the bottom (but here we need only the bottom) plus the area of the lateral side area, the "mantle", which is the circumference of the basic circle times height.

so, in our case we get

pi×r² + 2×pi×r×height

pi×9² + 2×pi×9×10 = 81pi + 180pi = 261pi =

= 819.9556826... ft² ≈ 820 ft²

the surface area of a sphere is

4×pi×r²

and therefore if a half-sphere

4×pi×r² / 2 = 2×pi×r²

in our case

2×pi×9² = 2×pi×81 = 162pi = 508.9380099... ft²

≈ 508.9 ft²

the total surface area is then

1,328.893692... ft² ≈ 1,328.9 ft²

Answer:

Problem 20: [tex]m[/tex] = [tex]2[/tex]

Problem 21: [tex]m[/tex] = [tex]-2[/tex]

Problem 22: [tex]m[/tex] = [tex]1[/tex]

Problem 23: [tex]m[/tex] = [tex]3[/tex]

Step-by-step explanation:

The formula to find the slope of a line: [tex]m = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex].

Problem 20:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{3-7}{2-4}[/tex]

[tex]m[/tex] = [tex]\frac{-4}{-2}[/tex]

[tex]m[/tex] = [tex]2[/tex]

Problem 21:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{-5-1}{2--1}[/tex]

[tex]m[/tex] = [tex]\frac{-6}{3}[/tex]

[tex]m[/tex] = [tex]-2[/tex]

Problem 22:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{3-7}{-6--2}[/tex]

[tex]m[/tex] = [tex]\frac{-4}{-4}[/tex]

[tex]m[/tex] = [tex]1[/tex]

Problem 23:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{-4-2}{-4--2}[/tex]

[tex]m[/tex] = [tex]\frac{-6}{-2}[/tex]

[tex]m[/tex] = [tex]3[/tex]

*Extra*: The equation of a line is written in this form: [tex]y = mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is [tex]y[/tex]-intercept

Based on the number of beads that are needed to make a jewelry set, the largest number of jewelry sets that Sarah can make with 7,100 beads is 97 jewelry sets.  

First find the total number of beads used per jewelry set:

= Necklace + Bracelet + Earrings

= 48 + 19 + 6

= 73 beads

If she had 7,100 beads, the sets she could make would be:

= Total number of beads / Beads per set

= 7,100 / 73

= 97 jewelry sets

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