The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?

Answer:

 3²

Step-by-step explanation:

The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.

  [tex]\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2[/tex]

_____

Additional comment

The exception is that 0 divided by itself is indeterminate.

Answer: It is C 16,000,000

Step-by-step explanation: I am 100% sure.

Step-by-step explanation:

6 > 4x - 5

Bringing like terms on one side

6 + 5 > 4x

11 > 4x

11/4 > x

Option none is the correct answer

Answer:

The expected value is -$126- you should not buy the warranty.

Step-by-step explanation:

You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.

E(x)= (2800-350)(.8)+(-350)(.92)= -126

Answer:

60%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

Answer:

60%

Step-by-step explanation:

Total increase in cost = $(48 - 30) = $18

Now,

% increase = Increase/Original amount × 100

=> 18/30 × 100

=> 18/3 × 10

=> 6 × 10

=> 60%

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Answer:

26

Step-by-step explanation:

130-20%=104

25% of 104 is=26

6/8

Step-by-step explanation:

1/2 = 0.5

6/8 = 0.75

therefore, 0.75 > 0.5

Answer:

1) 98°

2) 65°

Step-by-step explanation:

Sum of the angles in any triangle = 180°

in first triangle the third inner angle =  180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°

The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°

Answer:

-1.33 degrees Celsius

Step-by-step explanation:

Divide -16 by 12.

[tex]\\ \sf\Rrightarrow y=-x+2[/tex](1)

[tex]\\ \sf\Rrightarrow y=x+1[/tex](2)

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

Answer:

x= 90 degrees

y= 47 degrees

Step-by-step explanation:

Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.

So with this information, you know that the angle at the bottom left is also 47 degrees.

x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).

A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.

90+47+y=180

y= 43

[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]

First we can say [tex]x=90[/tex]°, since x is located at the right angle part.

Now we can make an equation

[tex]90+47+y=180[/tex]

subtract 137 from sides.

[tex]y=43[/tex]

_________________________________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

_________________________________

Answer:

None because he took out all of the money he had

Step-by-step explanation:

(I made the same mistake once......)

The net amount of Jack's transaction is: $0.

So, the correct answer is C. $0.

The net amount of Jack's transaction can be calculated by subtracting the amount he withdrew from the amount he deposited.

Given:

Deposit amount = $227.11

Withdrawal amount = $227.11

Net amount = Deposit amount - Withdrawal amount

Net amount = $227.11 - $227.11

Net amount = $0

Hence, the net amount of Jack's transaction is: $0.

So, the correct answer is C. $0.

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#SPJ3

The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Given the function:

For x = -3, we will have to substitute x = -3 into the expression to have:

f(-3) = –2(-3)^2 – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -18 + 14

f(-3) = -4

Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

Learn more on functions here: https://brainly.com/question/10439235

The position of the kite with the point directly beneath the kite at the same

level with the hand and the hand for a right triangle.

Reasons:

The height of his hands above the ground, h = 2.75 feet

Angle of elevation of the string (above the horizontal), θ = 26°

Length of the string, l = 145 feet

Required:

The height of the kite above the ground.

Solution:

The height of the kite above the ground is given by trigonometric ratios as follows;

[tex]\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}[/tex]

Therefore;

[tex]\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}[/tex]

The height of the kite above the, [tex]k_h[/tex] ≈ 66.314 feet

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Answer:

90 =3 × 3 × 5 × 2.

Step-by-step explanation:

............

Answer:

d

Step-by-step explanation:

The regression analysis evaluates the amount of relationship that exists

between the variables in the analysis.

Reasons:

First part;

The given data is presented as follows;

[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]

The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]

Where;

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

[tex]\overline y[/tex] = The mean crash fatality = 15.52

[tex]\overline x[/tex] = The mean lemon import = 373.6

Therefore;

[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]

c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268

Therefore;

Second part;

When the imports is 425 metric tons of lemon, we have;

[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4

Therefore;

When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4

Given that the predicted value is between the values for 268 and 535, we

have that the prediction is approximately correct or worthwhile

The prediction is worthwhile

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Answer:

7/2

Step-by-step explanation:

4b+8/-2=10

4b-4=10

4b=10+4

4b=14

b=14/4

simplify

b=7/2

Answer:

$3005.98

Step-by-step explanation:

did the math with calculator

Answer:

2^2n = 4n

hope it helps you :)

Answer:

4n

Step-by-step explanation:

2^2n = 4n

hope u liked this answer :)

Answer:

y= -12x - 77

Step-by-step explanation:

HOPE THIS HELPS

Answer:

whats the shape

Step-by-step explanation:

Answer:

i dont get how this is a math question

and can you post a screenshot so i can understand it better

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

because 3125 divided 25 equals 125.

how do you want me to show you how i divided?

Answer:

125 is the answer, you can check this by simply multiplying 125 by 25, which will give you 3125.

Step-by-step explanation:

Answer:

  D.  f(x) = -6x^3 -5x^2 +21x

Step-by-step explanation:

The given zeros mean the function has factors ...

  (x -(-7/3))(x -3/2)(x -0)

Multiplying by 6, we can write this as ...

  (3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x

And multiplying by -1 gives ...

  -6x^3 -5x^2 +21x . . . . . matches choice D

__

Additional comment

The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).

Answer:

I’m sorry I don’t know

Step-by-step explanation:

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Step-by-step explanation:

105 is now total final value

Answer:

105..................

Answer:

the can contained a total of 69.6 oz

Step-by-step explanation:

First, we find the total amount he used.

2/3 + 1/6 = 4/6 + 1/6 = 5/6

He used 5/6 of the can.

He used 58 oz.

That means that 5/6 of the can equals 58 oz.

We don't know the size of the can, so let x = original number of ounces in can.

5/6 of can = 58

5/6x = 58

Multiply both sides of the equation by 6/5 to find x.

6/5 × 5/6x = 6/5 × 58

x = 69.6

Answer: the can contained a total of 69.6 oz