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2 years ago

You drank 12 ounces of your 16 ounce Dutch Bros. What percent is LEFT?

Mathematics

2 answers:

butalik [34]2 years ago

6 0

Answer:

25% is left

Step-by-step explanation:

12oz is how much is consumed and 16-12+4 so 4oz remain and to convert that to a percent you do 4 divided by 16 which is 0.25 and to get the present age you multiple 0.25 by 100 to get 25% left

amid [387]2 years ago

5 0

Answer:

25%

Step-by-step explanation:

12 out of 16 is 75 percent that leaves 25 percent left which will be your answer

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One of the roots of the quadratic equation x2−5mx+6m2=0 is 36. Find the greatest possible value of the second root. Help needed

Ivenika [448]

<h2>The greatest possible value of the second root, β = 54 </h2>

Step-by-step explanation:

The given quadratic equation:

$x^2-5mx+6m^2=0$

Let α and β be the roots of the given quadratic equation.

α = 36

To find, the greatest possible value of the second root ( β) = ?

∴ The sum of the roots,

α + β = $\dfrac{-b}{a}$

⇒ 36 + β = $\dfrac{-(-5m)}{1}$

⇒ 5m = 36 + β ............. (1)

The product of the roots,

α.β = $\dfrac{c}{a}$

⇒ $36.\beta=\dfrac{6m^2}{1}$

⇒ $6.\beta=m^2$ ............. (2)

From equations (1) and (2), we get

⇒ $(\dfrac{36+\beta}{5})^{2}=6\beta$

⇒ $\beta^2-78\beta+1296=0$

⇒ $\beta^2-54B\beta-24B\beta+1296=0$

⇒ β(β - 54) - 24(β - 54) = 0

⇒ (β - 54)(β - 24) = 0

⇒ β - 54 = 0 or, β - 24 = 0

⇒ β = 54 or, β = 24

∴ The greatest possible value of the second root, β = 54

4 0

3 years ago

-4 (2y + 4)= 48 help plz

Ksenya-84 [330]

Answer:

y=-8

Step-by-step explanation:

-8y-16=48

+16+16

-8y=64

y=-8

8 0

2 years ago

Read 2 more answers

Which of the following is an example of parallel lines? <br><br> A. B. C. D.

mario62 [17]

I see no picture, but parallel lines are lines that are by eachother and go the same distance, but never meet. It's like a tilted equal symbol.

5 0

2 years ago

Find the range of h(x)=x^2 + 2x - 5 when the domain is {-4,-2,0,2}

Dimas [21]

The range is: {3,-5}

Step-by-step explanation:

Given

$h(x)=x^2 + 2x - 5$

We will get the range by putting the values given in domain in the function

Putting x=-4

$h(-4)=(-4)^2 + 2(-4) - 5\\=16-8-5\\=16-13\\=3$

Putting x=-2

$h(-2)=(-2)^2 +2(-2) - 5\\=4-4-5\\=0-5\\=-5$

Putting x=0

$h(0)=(0)^2 + 2(0) - 5\\=0+0-5\\=-5\\$

Putting x=2

$h(2)=(2)^2 + 2(2) - 5\\=4+4-5\\=8-5\\=3$

The range is: {3,-5}

Keywords: Functions, Range

Learn more about range at:

#LearnwithBrainly

7 0

3 years ago

How far must the outfielder throw the ball to return it to the pitcher? Round to the nearest foot. 112 feet 125 feet 145 feet 15

shusha [124]

The distance the outfielder must throw the ball to return it to the pitcher is 125 feet.

Given

On a softball field, the home plate is 43 feet from the pitcher’s mound.

A ball is hit at an angle of 27° east of the pitcher’s mound.

The ball travels 162 feet before it is caught by an outfielder.

<h3>How to use the cosine rule to find the distance?</h3>

Distance of the home plate from the pitcher's mound = 43 feet

The angle at which the ball is hit = 27° east of the pitcher's mound

The distance the ball travels before it is caught = 162 feet

The sides, b and c, and the included angle, A, of the triangle drawn are respectively;

b = 43 feet

c = 162 feet

A = 27°

The length of the third side, of the triangle, is the distance from the outfielder to the pitcher.

According to the law of cosines, we have;

a² = b² + c² - 2·b·c·cos(A)

a² = 43² + 162² - 2 × 43 × 162 × cos(27°) ≈ 15679.497105

Approximating to the nearest foot, we get;

a = 125 feet

Hence, the distance the outfielder must throw the ball to return it to the pitcher is 125 feet.

To know more about the Cosine rule click the link given below.

brainly.com/question/3240813

8 0

1 year ago