What is the point-slope form of the line with slope −1/4 that passes through the point (−2, 9)?
y+9=−1/4(x−2) y+9=-1/4 (x-2)
y+2=−1/4(x−9) y+2= -1/4 (x-9)
y−9=−1/4(x+2) y-9 = -1/4 (x+2)
y−2=−1/4(x+9)

6 cows are there  on the farm, 38 ostriches, for a total of 44 animals. they have a total of 100 legs.

To solve this problem, we need to use algebra. Let's let "c" represent the number of cows on the farm and "o" represent the number of ostriches on the farm. We know that there are 44 animals in total, so:

c + o = 44

We also know that cows have 4 legs and ostriches have 2 legs, and that there are a total of 100 legs on the farm. So:

4c + 2o = 100

Now we have two equations with two variables, so we can solve for one of the variables and then substitute it into the other equation to solve for the other variable. Let's solve for "o" in the first equation:

o = 44 - c

Now we can substitute this into the second equation:

4c + 2(44-c) = 100

Simplifying:

4c + 88 - 2c = 100

2c = 12

c = 6

So there are 6 cows on the farm. To check, we can substitute this into the first equation:

6 + o = 44

o = 38

So there are 6 cows and 38 ostriches on the farm, for a total of 44 animals. And the total number of legs is:

4(6) + 2(38) = 100

So this answer checks out.

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The correct answer is 7. The error has been corrected by converting the percent to a decimal before multiplication.

What is the percent equation?

The percent equation is a mathematical formula used to find the part (P), the percent (R), or the whole (W) when given two of the three values. The formula is:

Part = Percent x Whole

The error in using the percent equation "What number is 35% of 20?" is that the percent 35% should have been converted to a decimal or fraction before multiplying it with the whole value of 20.

To correct the error, we can convert 35% to a decimal by dividing it by 100:

35% = 35/100 = 0.35

Then, we can multiply the decimal 0.35 with the whole value of 20 to find the part:

0.35 x 20 = 7

Therefore, the correct answer is 7. The error has been corrected by converting the percent to a decimal before multiplication.

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Answer:

Step-by-step explanation:

Let \(\( f(x)

=4 x-1 \) and \( g(x)=

x^{2}+5 \).\)

We have to find\(\((f \circ g)(-4)\)\)

First,we need to evaluate \(\(g(-4)\): \[g(-4) =

(-4)^2 + 5 = 21\]\)

Now,we can evaluate\(\(f(g(-4))\): \[f(g(-4))

= f(21) = 4(21) - 1

= 83\] \((f \circ g)(-4)

= \boxed{83}\)\)

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The vertical asymptοtes οf the functiοn are x = -2 and x = 2.

An asymptοte οf the curve y = f(x) οr in the implicit fοrm: f(x,y) = 0 is a straight line such that the distance between the curve and the straight line lends tο zerο when the pοints οn the curve apprοach infinity.

Tο find the vertical asymptοtes οf a functiοn, we need tο identify the values οf x that make the denοminatοr οf the functiοn equal tο zerο, because divisiοn by zerο is undefined. Therefοre, the vertical asymptοtes οccur when the denοminatοr οf the functiοn is equal tο zerο:

\(x^2 - 4 = 0\)

We can factοr the denοminatοr by using the difference οf squares fοrmula:

(x + 2)(x - 2) = 0

Nοw we can sοlve fοr the values οf x:

x + 2 = 0 οr x - 2 = 0

x = -2 οr x = 2

Therefοre, the vertical asymptοtes οf the functiοn are x = -2 and x = 2.

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Using it's concept, it is found that the probability of randomly choosing a number either divisible by 5 or divisible by 3 is given by:

B) 7/16

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Hence the probability is given by:

p = 14/32 = 7/16.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The value of the "7" in 432.0769 is 7/1000 or option A.

In the number 432.0769, the digit "7" is in the thousandths place, which means that it represents seven parts of one thousandth. The digit to the left of the thousandths place is the hundredths place, which represents one hundredth of a number. Therefore, the difference between the thousandths and hundredths place is a factor of ten, which means that the value of the digit "7" is ten times greater than the value of the digit to its right.

To put it in another way, the number 432.0769 can be broken down into its decimal representation:

4 hundreds + 3 tens + 2 ones + 0 tenths + 7 hundredths + 6 thousandths + 9 ten-thousandths

Hence the correct option is (a).

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Answer:

x = 3

Step-by-step explanation:

since it's hitting 3 on the x axis and just goes up and down where 3 is, all the points have an x of 3 and nothing else. making the equation x = 3

Answer:

98.9

Step-by-step explanation:

115 - 20% = 92
92 + 7.5% = 98.9

Answer:

the original price is 115 after we subtract 20% we are left with 92 so now

the price of the coffee table is 92 but with 7.5% as tax, the final price is $98.90 since 7.5% of 92 is 6.90

Answer:

(4x+3)(x2−5)  hope it helped

Step-by-step explanation:

this is the correct answer

Answer:

Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more. Everyone is entitled to these rights, without discrimination.

Step-by-step explanation:

these are the 5 basic rights, most of them were taken for george floyd

hope this helped

Answer:

k=6

Step-by-step explanation:

subtract 5 from both sides

4(k-1)=20

divide 4 on from both sides

k-1=5

add 1 on both sides

k=6

\(\huge\bf{ANSWER:}\)

\(\huge\mathrm{k=6}\checkmark\)

\(\huge\bf{SOLUTION:}\)

Hey there, hope you are enjoying your day! :)

Let's solve this math problem. First of all, let's use the Distributive Property:

\(\rm{5+4(k-1)=25\)

\(\rm{5+4k-4=25\)

Now, move all the constants (numbers without a variable next to them) to the right, using the opposite operation:

\(\rm{4k=25-5+4\)

\(\rm{4k=20+4\)

Add:

\(\rm{4k=24\)

Divide both sides by 4 in order to isolate k:

\(\rm{k=6}\) (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\)

The price of a gallon of milk relative to a pound of butter is 1.25.

The price of a loaf of bread relative to a gallon of milk can be calculated by finding the ratio of the price of a loaf of bread to the price of a gallon of milk.

This ratio can be calculated as follows:

Price of loaf of bread / Price of gallon of milk

= $1.50 / $3.00

= 0.5

Therefore, the price of a loaf of bread relative to a gallon of milk is 0.5.

The price of a gallon of milk relative to a pound of butter can also be calculated by finding the ratio of the price of a gallon of milk to the price of a pound of butter.

This ratio can be calculated as follows:

Price of gallon of milk / Price of pound of butter

= $3.00 / $2.40

= 1.25

Therefore, the price of a gallon of milk relative to a pound of butter is 1.25.

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All Quadrilaterals have unique properties that differentiate them from one another. Some of these properties include the sum of their interior angles, the length of their sides, the degree of their angles.

Quadrilaterals are a type of polygon that has four sides and four vertices. A polygon is defined as a two-dimensional shape that is made up of three or more straight sides. The following are some statements on quadrilaterals and their properties:All quadrilaterals are polygons with four sides

This statement is true because quadrilaterals are a type of polygon with four sides. Polygons are classified according to the number of sides they have.

All quadrilaterals are parallelograms with two pairs of parallel sidesThis statement is false. Not all quadrilaterals have two pairs of parallel sides. The parallelogram is a type of quadrilateral that has two pairs of parallel sides. Examples of parallelograms are rectangles, squares, and rhombi.All quadrilaterals are rectangles with four right anglesThis statement is false.

A rectangle is a type of quadrilateral that has four right angles, but not all quadrilaterals are rectangles. Examples of rectangles are squares and oblongs.All quadrilaterals are squares with four equal sidesThis statement is false. A square is a type of quadrilateral that has four equal sides and four right angles, but not all quadrilaterals are squares. Examples of squares are rhombuses.

All quadrilaterals have unique properties that differentiate them from one another. Some of these properties include the sum of their interior angles, the length of their sides, the degree of their angles, and the presence of parallel sides. The classification of quadrilaterals is an important concept in geometry as it allows for the proper identification of shapes and their properties.

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The calculated area of the cross-section is 14 square inches

from the question, we have the following parameters that can be used in our computation:

The prism (see attachment 1)

When a vertical plane intersects the vertex and the shorter edge of the base, the shape formed is a triangle with the following dimensions

Base = 7 inches

Height = 4 inches

See attachment 2

So, we have

Area = 1/2 * 7 * 4

Evaluate

Area = 14

Hence, the area of the cross-section is 14 square inches

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Answer:

Well the absolute vaule will allways be postive. Therefore the answer being 2.  I Think.  

Step-by-step explanation:

Answer: true, true, false, true

Step-by-step explanation:

1 True- 2 is a prime number

2- True 2 is a prime number

3 False 2,3,5,7 can be prime numbers as well

4 True 2 is a prime number

The rewritten form of the equation as required to be determined for x is; x = 0.5 (-77/20).

It follows from the task content that the given equation is to be rewritten for variable x as required.

Given; 3 / (-2x - 4) = 20

3/20 = -2x - 4

2x + 4 = 3/20

2x = 3/20 - 4

x = 0.5 (-77/20)

Ultimately, the rewritten equation for variable x is; x = 0.5 (-77/20).

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Answer:

$13.4

Step-by-step explanation:

Given that :

Tip percentage = 20%

Amount of bill = $67.13

Rounding the bill Amount to then nearest dollar :

$67.13 = $67

Tip amount = 20% of $67

Tip amount = 0.2 * $67

Tip amount = $13.4

Answer: The number of units sold when the manufactures home income equals the manufactures expenses

Step-by-step explanation:

The solution to f(x) = g(x) represent that manufacturer is on break even.

Break-even analysis Break even is the point where the income of a business matches the expenses required to run that business. Also in other words it tell us the point at which you will have enough sales to cover all of the costs involved.

Here as it is given that the income f(x) to its expenses g(x) for x number of units sold is equal.

Therefore, its state will be break even.

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Using the rules of exponents, the expression (5 x^−5 y^3)^−2 is equivalent to x^10 / (25 y^6) or "x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity".

Given: (5 x^−5 y^3)^−2

1. Distribute the power of two using the Power of a Power Rule. "When a power is raised to another power, multiply the exponents."

5^−2 x^(−5)(−2) y^(3)(−2) =  5^−2 x^10 y^-6

2. Use Negative Rule of Exponent. "A number with a negative exponent should be put to the denominator, and vice versa."

5^−2 x^10 y^-6 = (x^10) / (5^2 y^6)

3. Simplify the constant term.

(x^10) / (5^2 y^6) = x^10 / 25 y^6

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.Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When converting time from 12 hour to 24 hour format, you need to make sure if it's AM or PM and add or not 12 hours accordingly. To convert 16:00 p.m. to military time, you need to add 12 hours to the time.

Military time, also known as 24-hour time, is a way of expressing time that is commonly used in the military, but is also used in other settings such as transportation and emergency services. It is different from the 12-hour time that is typically used in everyday life.

To convert 16:00 p.m. to military time, you need to add 12 hours to the time. This is because 16:00 p.m. is the 16th hour of the day, but military time starts counting at 00:00 and goes up to 23:59. So, 16:00 p.m. in 12-hour time would be the same as 16+12=28 in military time. However, since military time uses only two digits to represent the hour, we need to subtract 24 from the result. This gives us 28-24=04:00.

So, 16:00 p.m. in 12-hour time would be equivalent to 04:00 in military time.

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Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:

A = x^2 + 9x - 36.  This factors into A = (x + 12)(x - 3).  We can assume that the length of the parallelogram is x + 12 and that the width is x - 3.

Note that if x = 3 the area becomes zero.  So:  x must be greater than 3, so that the (x - 3) factor is positive.

Example:  If x = 4, then the dimensions of the parallelogram are 4 + 12, or 16, and 4 - 3, or 1.  

The average rate of change of the given function is 10π.

Given function

a = πx^2

Where a is the area of a circle with radius x

The radius changes from x = 4 to x = 6.

Calculating the average rate of change of function:

The method of finding the average rate between the function value over a certain interval is called the average rate of change.

The formula is given by :

Average = \(\frac{f(b)-f(a)}{b-a}\)

Where f(a) and f(b) are the function value over the limit a and b.

Average = \(\frac{f(6)-f(4)}{6-4}\)

= \(\frac{\pi (6)^{2} -\pi (4)^{2} }{6-4}\)

= \(\frac{\pi (36-16)}{2}\)

= \(\frac{20\pi }{2}\)

= 10π

The average rate of change of the given function is 10π.

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Answer:

How much jellybeans cost?????????

Step-by-step explanation:

Answer:

how much do the hello beans cost

Based on the table, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.

In the first week, there's 9.5 pounds. This can be illustrated using the arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term

d = common difference

3rd term = a + 2d

13 = 9.5 + 2d

2d = 13 - 9.5

2d = 3.5

d = 3.5/2

d = 1.75

Therefore, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.

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