You can buy 4 bottles of water from a vending machine for $7. At this rate, how many bottles of water can you buy for $28

Replace h with 49 ( the given height) and solve for d ( distance).

49 = d^2 - 36d +324

Subtract 49 from both sides:

0 = d^2 - 36d + 275

Factor the polynomial, by finding two numbers when added together equal -36 and when multiplied equal 275.

(d-25)(d-11) = 0

Now solve for d by setting both equations to 0:

d-25 = 0

d = 25

d-11 = 0

d = 11

The two distances would be 11 yards and 25 yards.

12 to 20 is 60 percent

12 is 60% of 20

To find the percent you must divide to two numbers 12 and 20. You then get 0.6 which is 60 percent because 6 is in the tenths place which also determines how many zeros there are.

The answer is 4/9.

First you’d find the least common denominator for the fractions,, which would be 9.

You then multiply the first fraction by 3 to make it equal to 9.

The new equation would be -3/9+7/9.

Add it up, and it would equal 4/9.

-1/3+7/9

-1/3=-3/9

-3/9+7/9=4/8

Answer: The vertex is 1

Step-by-step explanation:

The vertex is the line that passes through the center of the parabola

Answer:

1. 21x⁴+3y-35x² + 41

2. -21x⁴-3y+6x² + x

Step-by-step explanation:

When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.

1. The polynomial is 21x⁴ + 3y -6x² + 34

To obtain polynomial 29x² -7 , we must subtract some polynomial from it.

Let that polynomial be k.

So, 21x⁴ + 3y -6x² + 34 - k =  29x² -7

k = 21x⁴ + 3y - 6x² +34 - 29x² +7 = 21x⁴ + 3y - 35x² + 41

2. To obtain a first degree polynomial, let that polynomial be x +34

So, 21x⁴ + 3y - 6x² + 34 + K = x + 34

K = x + 34 - 21x⁴ -3y + 6x² - 34

  = -21x⁴ - 3y + 6x² + x

Answer:

I believe the answer is A

Hope This Helps!    Have A Nice Day!!

For this case we must indicate an expression equivalent to:

[tex]log (750) = x[/tex]

For properties of logarithm we have to:

[tex]log_ {b} (x) = y[/tex]is equivalent, in its exponential form to:

[tex]b ^ y = x[/tex], where [tex]x> 0, b> 0[/tex] and b different from 1.

In this case:

[tex]b = 10\\x = 750\\y = x[/tex]

So:

[tex]10 ^ x = 750[/tex]

ANswer:

Option D

Answer:

1- D   2-A

number one: you multiply all the numbers together...

number two: you add the numbers together and i got A because if you add it all up, it is 42.593 and that is greater than 42.537.

hope dis helps! :p

1 inch is 2 feet. So we use this and ask: 6 inch is 6 × 2 feet which is 12 feet. We do this again with 10 inch × 2 is 20 feet.

So the answer is D. 12 feet by 20 feet.

Hope this helps.

r3t40

Answer:

[tex]\frac{1-cos^2x}{1+cosx}[/tex]

Step-by-step explanation:

We are given the expression

[tex]\frac{sin^2x}{1+cosx}[/tex]

We can use the Pythagorean identity of [tex]sin^2x+cos^2x=1[/tex] when solved for [tex]sin^2x=1-cos^2x[/tex]

Now we can substitute in our identity for [tex]sin^2x[/tex]

[tex]\frac{1-cos^2x}{1+cosx}[/tex]

Answer:

80

Step-by-step explanation:

The total was 125

0.64 of them voted for the winner.

The number who voted for the winner = ratio * total

Votes for the winner = 0.64 * 125

Votes for the winner = 80

Answer:

[tex]80x\geq 750[/tex]

She'll need to save at least 10 months to be able to go buy the computer.

Step-by-step explanation:

Let

x ----> the number of months

we know that

The inequality that represent this situation is equal to

[tex]80x\geq 750[/tex]

solve for x

[tex]x\geq 750/80[/tex]

[tex]x\geq 9.4\ months[/tex]

therefore

The minimum number of months is 10

Answer:

m∠A = 76° , m∠C = 68° , a = 31.4

Step-by-step explanation:

* Lets revise how to solve a triangle

- In ΔABC

- a, b, c are the lengths of its 3 sides, where

# a is opposite to angle A

# b is opposite to angle B

# c is opposite to angle C

- m∠B = 36°  

- b = 19  

- c = 30

* To solve the triangle we can use the sin Rule

- In any triangle the ratio between the length of each side  

to the measure of each opposite angle are equal

- a/sinA = b/sinB  = c/sinC

* Lets use it to find a and m∠C

∵ m∠B = 36° , b = 19 and c = 30

∵ 19/sin36° = 30/sinC ⇒ by using cross multiplication

∴ sinC = 30 × sin36° ÷ 19 = 0.928

∴ m∠C = sin^-1(0.928) = 68°

- Find measure of angle A

∵ The sum of the measures of the interior angles in a triangle is 180°

∵ m∠A = 180° - (68° + 36°) = 180° - 104° = 76°

∴ m∠A = 76°

- Now we can Find a

∵ a/sinA = b/sinB

∴ a/sin76° = 19/sin36° ⇒ by using cross multiplication

∴ a = 19 × sin(76°) ÷ sin(36°) = 31.4

* m∠A = 76° , m∠C = 68° , a = 31.4

Answer:

A =75.86, B=36, C=68.14, b=19, c=30, a=31.34

A=32.14, B=36, C=111.86, b=19, c=30, a=17.19

Step-by-step explanation:

We have two sides of triangle (b and c) and an angle (B)

To solve the triangle we use the sine theorem:

[tex]\frac{sin(B)}{b}=\frac{sin(C)}{c} =\frac{sin(A)}{a}[/tex]

We substitute the values of b, B and c in the equation and solve for C

[tex]\frac{sin(36)}{19}=\frac{sin(C)}{30}\\\\sin(C) = 30*\frac{sin(36)}{19}\\\\sin(C) = 0.9281\\\\C=arcsin(0.9281)\\\\C=68.14\°\ \ or\ \ C=111.86[/tex]

The sum of the internal angles of a triangle is 180, then

[tex]68.14 + 36 + A=180\\\\A=180-68.14 - 36\\\\A=75.86\°[/tex]

or

[tex]111.86 + 36 + A=180\\\\A=180-111.86 - 36\\\\A=32.14\°[/tex]

No we find "a" for both cases.

[tex]\frac{sin(36)}{19}=\frac{sin(75.86\°)}{a}\\\\0.03094a=sin(75.86\°)\\\\a=\frac{sin(75.86\°)}{0.03094}\\\\a=31.34[/tex]

or

[tex]\frac{sin(36)}{19}=\frac{sin(32.14\°)}{a}\\\\0.03094a=sin(32.14\°)\\\\a=\frac{sin(32.14\°)}{0.03094}\\\\a=17.19[/tex]

Answer:

the correct answer is the letter X

Step-by-step explanation:

because the shaded sides are between the two larger rectangles

I believe the answer your looking for is “X”

Answer:

B, Right by 4 units

Step-by-step explanation:

we want to factor g(x), and the factorization of that would be (x - 4)² as its a perfect square trinomial

when translating on a graph, we determine the translation. the translation of g(x) is a horizontal shift 4 units to the right, as we are subtracting 4. if it was adding 4, we would be shifting to the left 4 units

ANSWER

Right by 4 units

EXPLANATION

The given functions are

[tex]f(x) = {x}^{2} [/tex]

and

[tex]g(x) = {x}^{2} - 8x + 16[/tex]

To obtain how much f(x) is shifted to obtain g(x), we need to rewrite g(x) in vertex form.

Observe that,

[tex]g(x) = {x}^{2} - 8x + ( - 4) ^{2} [/tex]

is a perfect square trinomial.

The vertex form is

[tex]g(x) = {(x - 4)}^{2} [/tex]

When f(x) is shifted 4 units to the right, we obtain g(x).

i think the answer is 8

Answer:

Step-by-step explanation:

The formula of an area of a parallelogram:

[tex]A=ah[/tex]

a - base

h - height

We have

[tex]a=11\dfrac{2}{3}\ cm,\ h=3\dfrac{3}{5}\ cm[/tex]

Convert the mixed numbers to the improper fractions:

[tex]11\dfrac{2}{3}=\dfrac{(11)(3)+2}{3}=\dfrac{35}{3}\\\\3\dfrac{3}{5}=\dfrac{(3)(5)+3}{5}=\dfrac{18}{5}[/tex]

Substitute:

[tex]A=\left(11\dfrac{2}{3}\right)\left(3\dfrac{3}{5}\right)=\left(\dfrac{35\!\!\!\!\!\diagup^7}{3\!\!\!\!\diagup_1}\right)\left(\dfrac{18\!\!\!\!\diagup^6}{5\!\!\!\!\diagup_1}\right)=(7)(6)=42\ cm^2[/tex]

The answer would be A, 2 1/2 hours.

Hope I helped!

~Mschmindy

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The answer would be A) 2 1/2 hours.

Answer:

Q1: -2

Q2: 13

Q3: 15

Q4: -12

Q5: 7

Q6: -4

Q7: 12p + 3

Answer:

D is wrong just took test.... 7√3 and 9√3 is COREECT!

Step-by-step explanation:

Im doing this question rn and I believe the answer should be C) the ratio of the student body that are in 12th grade and play two or more sports.

Step-by-step explanation: I chose this bc there are 28 12th graders that play 2 or more sports and the total student body is 612. So 28/612 makes most sense to me. Sorry this is so late but I just checked and it’s right!

Answer:

c

Step-by-step explanation:

Answer:

So sorry can you type in english to understand

Step-by-step explanation:

Answer:

David will make $481 (he earns the bonus)

Explanation:

If he makes $1 for each order and he filled out 385 orders, then why can't we say he made $385?

Because of this statement rights here:

"...and gets paid $1 for each order he fills out plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20."

So we need to find out if any of the 3 weeks has an average of 20+ orders per day.

(x is the amount of orders he fills out)

profit = $1x

if any average orders per day is > 20 in any week

bonus profit = $1.25x

first week     second week

             3a : 2a

first week   third week

           4a : 5a

sum of all ratios of a = 385

So we have

3a : 2a (first week to second week)

4a : 5a (first week to third week)

Notice how the first two numbers are both from the first week. Let's use the Least Common Multiple to make them equal while still keeping ratios.

LCM of 3 and 4: 12 = 3 * 4

12a : 8a ( times 4 )

12a : 15a ( times 3 )

Now that we have the same value, we can create a big ratio

first week second week third week

   12a     :        8a          :      15a

we know that these ratios will all equal 385. Since ratios are equal no matter how big we make them, we can say that

12a + 8a + 15a = 385 (a is a variable to scale up the ratio)

which is the same as

(12 + 8 + 15) * a = 385

(35) * a = 385

35a = 385

if we solve for a by dividing 35 on both sides we get

a = 11

This gives us how much to multiply the RATIO by to get the ACTUAL NUMBER of orders completed. Let's plug 11 for 'a' and see what happens.

12a + 8a + 15a = 385

12(11) + 8(11) + 15(11) = 385

132 + 88 + 165 = 385     (Check that out, the number of orders each week!)

220 + 165 = 385

385 = 385

Bingo! All the math works out. So, looking back at the verryyy top of this problem, the reason why it wasn't as easy as $385 was because of the bonus.

The bonus gives David $1.25 per order instead of $1 per order if any of the weeks have an average ORDER PER DAY of anything bigger than 20. If we know the real numbers of orders for every week (132, 88, and 165), then we can divide it by 7 to get the average order per day. Let's choose 165 (the third week) because it is the biggest and has the greatest chance of meeting our goal.

165 orders / 7 days (7 days in a week) = 23.57 orders per day

Is this greater than 20 orders per day?

YES!

So now we can safely say that the bonus is there or not, and in this case, the bonus IS there because there is a week where David had more than 20 orders per day.

So instead of using

profit = $1x

We will use

bonus profit = $1.25x

(x is the amount of orders completed)

So if we know he completed 385 orders, and we know he earned the bonus, we plug in 385 for x for the bonus function

bonus profit = $1.25x

bonus profit = $1.25 * 385

bonus profit = $481.25

If necessary, round your answer to the nearest dollar.

So for the very end, all we have to do is round it to the nearest dollar.

$481.25 rounds to $481.

And we're done!

Answer:

426

Step-by-step explanation:

the three totals of orders per week were 132, 88, and 165. David gets a 25 cent bonus only if the average was 20 or more per day in the week, so we divide by 7 to each. The only one that ends up with a quotient greater than 20 is 165 so we do 165*1.25=206.25. we now add up the three totals. 132+88+206.25=426.25. Now we round to the nearest dollar which is 426. And thats our answer!

Sorry if it is a bad explanation.

Hope this helps :)

Answer:

5. 25.4     6. 53.5        7. 107.9

Step-by-step explanation:

since you do not know the height you do the side time the base times the gamma or the angle degrees

The wise man is 95 years old.

In order to solve this problem, let's first define the variable x as the wise man's age.

The sentence '500 reduced by twice my age' can be written as:

500 - 2x = 310

Now, let's solve the equation to find the value of x:

Subtract 500 from both sides: -2x = -190

Divide both sides by -2: x = 95

Therefore, the wise man is 95 years old.

Answer:

32[tex]m^{2}/min[/tex]

Step-by-step explanation:

We let the length of the square be l, the diagonal be z and the area be A.

Then by Pythagoras theorem;

[tex]l^{2}+l^{2}=z^{2}\\2l^{2}=z^{2}[/tex]

The are of a square of length l is given as;

[tex]A=l^{2}[/tex]

Combining these two equations yields;

[tex]z^{2}=2A[/tex]

[tex]A=\frac{z^{2} }{2}[/tex]

Next, we have been given;

[tex]\frac{dz}{dt}=8[/tex]

We are required to find;

[tex]\frac{dA}{dt}[/tex] when z = 4

By chain rule;

[tex]\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt}[/tex]

Differentiating [tex]A=\frac{z^{2} }{2}[/tex] with respect to z yields;

[tex]\frac{dA}{dz}=z[/tex]

Therefore,

[tex]\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt}[/tex] = 8z

When z is 4m the area of the square will be increasing at a rate of;

8m/min * 4m = 32[tex]m^{2}/min[/tex]

The area of the square is increasing at a rate of 32 m^2/min when the diagonals are each 4 meters long. This is calculated using the relationship between the diagonal and the side length of the square, and applying the concepts of calculus.

The subject of your question is related to Mathematics, specifically in the field of calculus, which deals with rates of change and accumulation. In this scenario, we're looking at how fast the area of a square is increasing given that its diagonals are increasing at a steady rate.

In a square, the diagonal and the side length 's' have a specific relationship, given by the Pythagorean theorem as diagonal = s * sqrt(2). As the diagonal is increasing at 8 m/min, ds/dt = 8/(sqrt(2)) m/min. Now, the area of a square (A) is given by A = s^2. By differentiating this respect to time 't', dA/dt = 2s*(ds/dt). Substituting the given length of the diagonal (4 m), we find s = diagonal/sqrt(2) = 2 sqrt(2) m. Now, substituting s and ds/dt into the equation for dA/dt, we find dA/dt = 2s*(ds/dt) = 2*2sqrt(2)*8/sqrt(2) = 32 m^2/min. So, the area of the square is increasing at the rate of 32 m^2/min when the diagonals are 4 meters each.

https://brainly.com/question/29181502

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13. x≤-3

14. x<1 1/2

:) :) :)

Answer:

[tex]g(x)=(\frac{1}{4}x)^2[/tex]

Step-by-step explanation:

The given functions are;

[tex]f(x)=x^2[/tex]

The function g(x) is a vertical stretch of f(x) by a factor of 'a' units, therefore we can write g(x) in terms of f(x).

This implies that;

[tex]g(x)=a\bullet f(x)[/tex]

[tex]\implies g(x)=a\bullet x^2[/tex]

The graph of g(x) passes through (4,1).

[tex]\implies g(4)=1[/tex]

[tex]\implies a(4^2)=1[/tex]

[tex]\implies 16a=1[/tex]

[tex]\implies a=\frac{1}{16}[/tex]

This implies that;

[tex]\implies g(x)=\frac{1}{16}x^2[/tex]

Or

[tex]g(x)=(\frac{1}{4}x)^2[/tex]

Answer IN THE PICTURE BELOW

G(X)=(1/4X)^2

Answer:

C.2/3x−2

Step-by-step explanation:

The answer is definitely C

Answer:

Event A = white marble is selected

Event B = blue marble is selected

P(A) = 5/10 = 1/2

p(B) = 5/10 = 1/2

Probability that A and B are independent events is:

P(A∩B) = 1/2 × 1/2

Answer: 1/4

Answer:  C) P(A and B) = 1/2  1/2

408 ft

Can I have brainliest?

:)