Amy’s pets groundhog ate 32 lbs. of the food this month. Last month, it only ate half that much. How much did it eat last month?

The exponent expression 3² is greater than the exponent expression 2³.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The same digits are used for the expressions 3² and 2³. The value of the exponent expressions is given as,

3² = 9

2³ = 8

The exponent expression 3² is greater than the exponent expression 2³.

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Answer:

19 degrees

Step-by-step explanation:

Will have a triangle with horizontal distance being 2800, and vertical being 1000 feet. Angle between the horizontal and hypotenuse is what we are looking for.

Thus it's a tangent function.

SOH

CAH

TOA <-----

Tangent is the opposite / adjacent

So we will be looking at doing an Arctan to find the angle.

Arctan α = [tex]\frac{1000}{2800}[/tex]  = 19.29 degrees. Round to the nearest whole degree would be 19 degrees due to being less than .50

Your answer is 19 degrees

Answer:

Step-by-step explanation:

Find the x and y intercept, and determine the slope.

X-intercept:

[tex]0=-\frac{1}{2}x-1\\1=-\frac{1}{2}x\\x=-2[/tex]

It crosses the x-axis at x = -2

Y-intercept:

[tex]y=-\frac{1}{2}(0)-1\\y=-1[/tex]

It crosses the y-axis at y = -1

Slope:

y = mx + b

m = slope = -1/2

The graph of the linear equation y = -(1/2)x - 1 is plotted.

Given data:

To graph the equation y = -1/2x - 1, use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

So, the slope is -1/2, and the y-intercept is -1.

To plot the graph, follow these steps:

Plot the y-intercept:

Start by plotting the point (0, -1), which represents the y-intercept.

Use the slope to find another point: Since the slope is -1/2, use the rise and run method. From the y-intercept point (0, -1), move down 1 unit (negative 1) and then move to the right 2 units. This gives another point on the line, which is (2, -2).

Hence, the resulting graph should be a straight line sloping downwards from left to right and is plotted below.

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Answer: 49

Step-by-step explanation: In order to complete the square, you need a perfect square trinomial on the left side of the equation.

The question is, what is the number we need?

Well it comes from a formula. The number that is added to both sides

comes from half the coefficient of the middle term squared.

So that's half of 14 which is 7, squared which is 49.

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Answer:

False

Step-by-step explanation:

0.15/10 equals 0.015

Answer:

A

Step-by-step explanation:

Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates

Nutrition is the study of food and how it works in your body. Nutrition includes all the stuff that's in your food, such as vitamins, protein, fat, and more. It's important to eat a variety of foods, including fruits, vegetables, dairy products, and grains, so you have what you need to grow and be healthy.

Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.

Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates

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9514 1404 393

Answer:

  1. (256/3)π ft³

  2. 33.49 ft³

Step-by-step explanation:

1. Put 4 ft into the formula where r is, then simplify.

  V = (4/3)π(4 ft)³ = (256/3)π ft³

__

2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.

  V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

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Answer:

y = 9x + 10

Step-by-step explanation:

y = mx + b

Here, m is slope and b is y-intercept

y = 9x + 10

Explanation:

The geometric mean of two positive numbers a and b is √ab. The ratio a:√ab is equal to the ratio √ab:b.

b

Answer:

might be the [tex]\sqrt{74}[/tex] because it equals 8.6 and the missing angle is slightly loger than the 7 butyou never know i might be wrong

Step-by-step explanation:

Answer:

$189

Step-by-step explanation:

210 has to be multiplied by the decimal form of the percentage, 0.10, which equals to 21. This will be subtracted from 210, giving you an answer of $189.

Answer: 16-!

Step-by-step explanation:

Answer:

A =8.75 ft^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh  where b is the base and h is the height

A = 1/2 ( 7 * 2.5)

A =8.75 ft^2

Answer:

The three angles of a triangle always add up to 180°.

That's basically all there is to it. I know this was pretty short but I hope it helps. :)

Answer:

The Triangle Angle Sum Theorem is that all angles in a triangle must add up to 180°.

Step-by-step explanation:

(hope this helps :P)

Answer:

10

Step-by-step explanation:

5 + 4 = 9 and 1/2 + 1/2 = 1 whole so 9 + 1 = 10

Answer:

169

Step-by-step explanation:

The square area is 64 and the paralellogram is 105

Add those two: 64+105=169

Answer:x<-15

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

9x5=45

45x4=180

Answer:

180 cm^3

Step-by-step explanation:

4x5x9=180

Hope this helps! ;)

Answer:

If he deposited weekly, he would be depositing 9 dollars each week.

Step-by-step explanation:

Just thank me later and click the crown at the top of this answer if it helped ;)

Answer:

P = QL/200

Step-by-step explanation:

Answer:

0.00446

Step-by-step explanation:

We need to find the value of the following expression :

[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}[/tex]

We know that, [tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}=(\dfrac{95}{17})^{-3}\times (\dfrac{17}{15})^2\\\\=0.00446[/tex]

So, the value of the given expression is 0.00446.

9514 1404 393

Answer:

  C.  12

Step-by-step explanation:

g(f(6)) = g(6 -3) = g(3) = 4(3)

g(f(6)) = 12