The product of (x + 3)(-x2 + 4x − 2) is:

Answer:

124

Step-by-step explanation:

2x+100=6x+52

solve for variable x = 12

plug it in

2(12)+100

sj= 124

9:0.2

i will do 8 c7. 7 and 8 will take 30 min i will do ot now wait

Answer:

Step-by-step explanation:

7.

Speed = Distance / time

Distance is fixed so speed x time = constant

speed1 x time1 = speed2 x time2

speed1/speed2 = time2/time1

speed1/speed2 = 20/27

time2/time1 = 20/27

Percentage decrease in time = (time1 - time2)/time1 x 100%

= (1 - time2/time1) x 100%

= (1 - 20/27) x 100%

= 7/27 x 100%

= 25.9%

8.

Let the equation of the angle bisector be y = mx + C

It is the angle bisector so its slope, m, is half way between slope of the two lines:

y = 2; slope = 0

y = 4x - 2; slope = 4

So m = (0 + 4) / 2 = 2

y = 2x + C

It is the angle bisector so the line must pass through intersection of the two lines:

y = 2 and y = 4x - 2

4x -2 = 2

x = 1

Intersection point is at x = 1 and y = 2

Substitute back into y = 2x + C

2 = 2(1) + C

C = 0

So the equation is y = 2x

9.

\(\sqrt{\frac{1}{25} } \\= \frac{\sqrt{1}}{\sqrt{25}} \\= \frac{1}{\sqrt{5^{2}}} \\\\\)

= 1/±5

= ±1/5

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:8

Step-by-step explanation:

Truck:car

6:2 or simplified to 3:1, which means 3 trucks for every 1 car.

24 trucks divided by 3 gives you 8.

Answer:

8 cars

Step-by-step explanation:

Set up a proportion to model this situation. First, write and simplify the given proportion.

trucks to cars;

6 : 2

Simplify,

3 : 1

Assuming that the rate at which trucks and cars are present in the parking lot is constant, one can make the expression,

trucks : cars

3 : 1 = 24 : x

Where (x) represents the unknown amount of cars. One can use cross products to solve this proportion,

3 : 1 = 24 : x

24 = 3x

Inverse operations,

24 = 3x

8 = x

Answer:

It would be graphed at 0.

Step-by-step explanation: The answer would be graphed at 0 on a number line because 0 is its opposite.

Hope this helps!

We are given the equation

2z - 9 = 7

Firstly, collect the like terms

2z = 7 + 9

2z = 16

Divide both sides by 2

2z/2 = 16/2

z = 8

Substitute z = 8 back to the previous equation

We have

2(8) - 9 = 7

16 - 9 = 7

7 = 7

Therefore, the value of z that makes the equation 2z - 9 = 7 true is 8

The answer is 8

Answer:

It would hold more if you roll up the long sides. It would hold about 5x more than it would if it was rolled up by the short side

Step-by-step explanation:

a. To find the value of q that maximizes profit, we need to find the value of q that maximizes revenue and then subtract the cost to produce that quantity. Revenue is equal to the price per unit multiplied by the quantity sold, or R(q) = q(110 - q). Thus, profit is given by P(q) = R(q) - C(q) = q(110 - q) - (q³ - 25q² + 2q + 3,000). Simplifying this expression, we get P(q) = -q³ + 85q² - 108q - 3,000. To find the value of q that maximizes profit, we need to take the derivative of P(q) with respect to q and set it equal to zero. This gives us -3q² + 170q - 108 = 0. Solving for q using the quadratic formula, we get q = 4.89 or q = 23.44. Since the company cannot produce a fractional quantity of parts, the value of q that maximizes profit is 23.

b. Consumer surplus is the difference between the maximum price that a consumer is willing to pay for a good and the actual price that they pay. In this case, the maximum price that a consumer is willing to pay is given by the demand function, p = 110 - q. At the level of production that corresponds to maximum profit, q = 23, so the price per unit is p = 110 - 23 = 87 dollars. The consumer surplus is then given by the integral of the demand function from q = 0 to q = 23, or ∫[0,23] (110 - q) dq = 23(110) - (23²/2) = 1,955 dollars.

Answer:

The point (5, -8) is not in the solution area

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

this means that 5x+7=27

subtract 7 from both sides

5x=20

x=4

If outcome O₁ has a frequency 4/a, outcome O₂ has a frequency 12/a, and outcome O₃ has frequency 3/a, then the value of a is 19

Frequency of outcome O₁ = 4/a

Frequency of outcome O₂ = 12/a

Frequency of outcome O₃ = 3/a

Let's say 1/a = x

Now, the Frequency of outcome O₁ = 4x

Frequency of outcome O₂ = 12x

Frequency of outcome O₃ = 3x

The sum of the respective frequencies must equal 1.

So, 4x + 12x + 3x = 1

                      19x = 1

x = 1/19

That means that the “a” in the problem is 19.

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\(-2x+6=12\\2x=-6\\x=-3\)

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

Step-by-step explanation:

Answer:

the approximate distance between the points is

√25+25 = 5√2

=7.07

Step-by-step explanation:

Answer:

\(Volume = 11488.21\)

\(Area = 2461.76\)

Step-by-step explanation:

Given

\(Radius, r = 14\ in\)

Shape: Sphere

Solving (a): The Volume

This is calculated as:

\(Volume = \frac{4}{3}\pi r^3\)

Take \(\pi\) as 3.14 and substitute 14 for r

\(Volume = \frac{4}{3} * 3.14 * 14^3\)

\(Volume = \frac{4}{3} * 3.14 * 2744\)

\(Volume = \frac{4 * 3.14 * 2744}{3}\)

\(Volume = \frac{34464.64}{3}\)

\(Volume = 11488.21\)

Solving (b): The Surface Area

This is calculated as follows:

\(Area = 4\pi r^2\)

Take \(\pi\) as 3.14 and substitute 14 for r

\(Area = 4 * 3.14 * 14^2\)

\(Area = 4 * 3.14 * 196\)

\(Area = 2461.76\)

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases}\)

\(A = 2000\left(1+\frac{0.03}{12}\right)^{12\cdot 20}\implies A=2000(1.0025)^{240} \implies \boxed{A \approx 3641.51} \\\\\\ 3641.51~~ - ~~2000~~ \approx~~ \stackrel{earned~interest}{\boxed{1641.51}}\)

Answer:

Jake sold the bicycle for $13.00

Step-by-step explanation:

All you have to do is know the equation would be 20% of $65.00.

That equals 65x0.20.

If you solve it, the answer is $13.00

Jake sold the bicycle for $13.00

Hope this helps!

Answer:

its 13 dollars

Step-by-step explanation:

when you have to find a precent of something you multiply the number by the percentage and divide the answer by 100

The three consecutive odd integers are7,9 and 11.

What is an integer?

⇒ An integer is a whole number that can be positive, negative, or 0.

Examples: -22, 5, 1000

⇒ Any decimal numbers are NOT integers (for example the number 2.76 is not an integer)

What are consecutive odd integers?

⇒ Consecutive odd integers are odd integers that follow each other and they differ by 2. If x is an odd integer, then x + 2, x + 4 and x + 6 are consecutive odd integers.

Calculation:

Let the three consecutive odd integers are x,x+2, and x+4

We have been given that 5 times The smallest is 9 less than 4 times the largest.

It means,

5 times the smallest means (5x) = 9 less than 4 times the largest means(4(x+4)-9)

⇒ 5x=4(x+4)-9

5x=4x+16-9

x=7

Hence the three consecutive odd integers are7,9 and 11.

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In this graph, we have plotted the two known points as dots, and the monthly average low tide height as a dotted line.

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range), with the property that each input is associated with exactly one output. In other words, a function is a rule that assigns to each input a unique output.

Functions are used in many areas of mathematics, science, engineering, and everyday life to model relationships between quantities, make predictions, analyze data, and solve problems. They are a fundamental concept in calculus, which deals with the rates of change of functions, and in many other branches of mathematics.

Here,

However, some general considerations can be made:

Both sine and cosine functions oscillate between -1 and 1, so they are often used to model periodic phenomena, such as tides.

The choice between sine and cosine depends on the phase of the oscillation, i.e., the starting point of the cycle. For example, a sine curve starts at zero and reaches its maximum at pi/2, while a cosine curve starts at its maximum and reaches zero at pi/2. If the data points given correspond to a minimum value of the tide, then a sine curve might be more appropriate, since it starts at zero and reaches its minimum at pi/2. On the other hand, if the data points correspond to a maximum value of the tide, then a cosine curve might be more appropriate, since it starts at its maximum and reaches zero at pi/2.

The choice between sine and cosine can also depend on the origin of the x-axis. In this case, x = 1 corresponds to July 1, so the origin is shifted by pi/2 from the usual position. This means that a sine curve that starts at zero at x = 1 would be shifted to the right by pi/2 compared to a cosine curve that starts at its maximum at x = 1.

Based on these considerations, we cannot definitively say whether a sine or cosine curve would be a better model without more information about the data. However, we can plot the two known points and the monthly average low tide height on a graph and see which curve seems to fit better visually. We can then use this visual inspection to guide our choice of model.

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The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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The surface area of the triangular prism is 388 cm².

The surface area of a triangular prism is calculated as follows;

Area of triangular face is calculated as;

A = (1/2) x 12 x 8

A = 48 cm²

Area of a rectangular face is calculate as;

A = 17 x 10

A = 170 cm²

Area of two rectangular faces is calculated as;

2 x 170 = 340 cm²

The total surface area is calculated as;

48 + 340 = 388 cm²

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The ratio is 2 : 5 and the smaller portion is 100

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount be A = $ 350

Now , the ratio is 2 : 5

So , the total ratio is = 2x + 5x

                                 = 7x

And, the value 7x =  total amount

So , 7x = 350

Divide by 7 on both sides of the equation , we get

x = 50

So , the number 350 in the ratio 2 : 5 is 100 : 250

Hence , the smaller portion is 100

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a. The given equation is:

The first step is adding 5 to both sides:

The next step is to apply logarithm to both sides (Kim didn't do it and it is a mistake):

Apply the properties of logarithms:

Divide both sides by log 10 and solve for x:

The mistake that Kim made was not using the logarithm in the second step.

b. Solve for x:

We can relate logarithms to exponential function as follows:

Then, we can say that:

Kim applied the wrong formula and made a^b=n, that was the mistake.

And now we can solve for x:

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

Answer:

B

Step-by-step explanation:

Answer:

3357

Step-by-step explanation:

The required amount to be held this week for federal tax is $12.75.
               

Here,
Last week's earnings = $240
Difference with marked amount = $240 - $195 = $45
This comes under type 2
So tax = 14 + 15% of 45
   tax = 14.40 + 6.75
   tax = $21.15

This week's earnings = $325
The difference with marked amount = $325 - $195 = 130
Tax = 14 + 15% of 130
Tax = 14.40 + 19.5
Tax = 33.9
the amount held this week = 33.9 - 21.15
                                         = $12.75

Thus, the required amount to be held this week for federal tax is $12.75.

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