2x² + 1 = 5x
A.
X =
B. X=
C.
X =
D. X =
-1+√39
5-√17
4
-1-√39
5+√√17
4

Answer:

2(2p+5)

Step-by-step explanation:

4p + 10

taking common values

2(2p+5)

The expression 4p + 10 can be factored by grouping the like terms together.

4p + 10 can be factored as:

2(2p + 5)

This is the prime factorization of the given expression. Here we have factored out the common factor 2 from 4p and 10. This is the most simplified form of the expression.

The answers to all parts is shown below.

An arithmetic value used to indicate amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labelling. Thus, mathematics is built on numbers.

1. Real numbers are "closed" under addition Integers are "not closed" under division. Irrational numbers are "not closed" under multiplication. Rational numbers are "closed" under subtraction.

2. Rational numbers are "closed" under subtraction. If an operation is closed under a set of numbers that means that the result of the operation will always be within that same set of numbers.

3. The  closure property of multiplication holds for natural numbers, whole numbers, integers and rational numbers.

4. Rational numbers are closed under division as long as the division is not by zero. Irrational numbers are not closed under addition, subtraction, multiplication or division.

5. The whole number system and the polynomial system are nearly identical. Actually, there are not many differences between polynomial functions and our whole number system. We employ a base-10 (decimal) approach for counting. The above-mentioned polynomial is an example of a "base x" system.

6. The system of polynomials is almost the same with the system of whole numbers.

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Answer:

  5.1% increase

Step-by-step explanation:

You want the percentage change in price per load when the price of detergent went from $16.99 for 52 loads to $16.49 for 48 loads.

The percentage change is given by the formula ...

  ((new price)/(old price) -1) × 100%

The price per load is found by dividing the price of the bottle of detergent by the number of loads it will wash.

  old price per load = $16.99/52 ≈ $0.32673

  new price per load = $16.49/48 ≈ $0.34354

Then the percentage change is ...

  (0.34354/0.32673 -1) × 100% ≈ 0.05145 × 100% ≈ 5.1%

The price per load has increased by about 5.1%.

Assembly dept. allocation rate = $45 per MH; Packaging dept. allocation rate = $0.60/DL$; Total cost for Basic = $864,000; Total cost for Deluxe = $1,566,000; Cost/unit for Basic = $144/unit; Cost/unit for Deluxe  = $52/unit.

a) Assembly dept. allocation rate = $1,620,000 MOH / 36,000 MH = $45 per MH

Assembly dept. MOH allocated to Basic = 6,000 MH * $45/MH = $270,000

Assembly dept. MOH allocated to Deluxe = 30,000 MH * $45/MH = $1,350,000

b) Packaging dept. allocation rate = $810,000 MOH / $1,350,000 DL$ = $0.60/DL$

Packaging dept. MOH allocated to Basic = $990,000 DL$ * $0.60/DL$ = $594,000

Packaging dept. MOH allocated to Deluxe = $360,000 DL$ * $0.60/DL$ = $216,000

c) Total cost for Basic = $270,000 + $594,000 = $864,000

Total cost for Deluxe = $1,350,000 + $216,000 = $1,566,000

d) Cost/unit for Basic = $864,000 / 6,000 units = $144/unit

Cost/unit for Deluxe = $1,566,000 / 30,000 units = $52/unit

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Answer:

-216

Step-by-step explanation:

[tex]-6^3\\-6*-6*-6 = -216[/tex]

Shawn should use the point-slope formula ⇒ y - y₁ = m(x - x₁) and the y-intercept is -12.

We already know that the point-slope formula goes as such -

⇒ y - y₁ = m(x - x₁)

We have also been told that the slope of the line is 4 and the line passes through the point (1,-8). So, point (1,-8) = (x₁ , y₁) and the slope, m = 4.

Using the given values and the formula of point-slope, we get -

⇒ y - (-8) = 4(x - 1)

⇒ y + 8 = 4x - 4

⇒ 4x - y = -12

⇒ y = 4x - 12

This is the equation of the line.

From this, we get the y-intercept = -12

The complete question that you might be looking for is given below -

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept, and what is the y-intercept of the line?

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Answer:

D) During translation, the cell uses information from messenger RNA to produce proteins.

Step-by-step explanation:

Hope it helps! =D

Answer:

2100

Step-by-step explanation:

let the unknown be x

5 : 2

x. 600

cross multiply

2x=3000

x= 3000

2

x=. 1500 .

Total amount collected= 1500+600

=2100

Answer:

10

Step-by-step explanation:

The following vitamins, minerals, and nutrients are particularly notable in each 2-tablespoon (tbsp) portion of smooth peanut butter: Protein. Protein content per 2-tbsp portion of peanut butter is 7.02 grammes (g).

The Complete Question.

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The features of the given polynomial graph are;

A) Domain: (-∞, ∞)

Range: (-∞, 16)

B) The x-intercepts are; (-2√2, 0), (0, 0), (2√2, 0)

C) The y-intercept is; (0, 0)

D) The interval(s) for which the function is increasing is; (-∞, -2) and (0, 2)

E) The interval(s) for which the function is decreasing. is; (-2, 0) and (2, ∞)

F) The graph has no constant interval.

G) It is symmetrical about the y-axis

H) Even function

The domain of a function is defined as the set of all possible input values for which the function holds. The range of a function is defined as the set of all possible output values for all possible input values.

A) The x-values intervals we reckon will be positive and negative infinity as the graph extends till infinity. However, the maximum value of the y-values will be 16 while the minimum is negative infinity.

B) The x-intercepts are the points where the graph crosses the x-axis and they are; (-2√2, 0), (0, 0), (2√2, 0)

C) The y-intercepts are the points where the graph crosses the y-axis and it has the coordinate; (0, 0)

D) Looking at the given graph, it is increasing when the curve rises  and in this case it is; (-∞, -2) and (0, 2)

E)  Looking at the given graph, it is decreasing when the curve descends and in this case it is; (-2, 0) and (2, ∞)

F) The graph has no constant interval.

G) It is symmetrical about the y-axis

H) The function is an even function

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The rectangular solar collector panel has a total area of 74.164 feet2 since the solar panel put on a roof makes a 54° angle with the horizontal.

A quadrilateral having four right angles, or rectangle, in Euclidean plane geometry. A quadrilateral that is equiangular, or one in which all of the angles are equal, is another way to describe it. Also possible is a straight angle in the parallelogram. With four sides that are of the same size, a square is a rectangle. Four 90-degree vertices and equal parallel sides make up a quadrilateral with a rectangle-like shape. Its equirectangular rectangle moniker derives from this. The term "parallelogram" also refers to a rectangle, which has equal and parallel opposite sides.

given

A=12h

sin54°= h/5

ℎ= 5 / sin54°

h= sin54° / 5

Therefore:  A=12 * sin54° / 5

74.164 feet2

The rectangular solar collector panel has a total area of 74.164 feet2 since the solar panel put on a roof makes a 54° angle with the horizontal.

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​

Olaf expects to get 1.8 broken eggs when he buys 3 dozen eggs, with a standard deviation of 0.5. It is necessary to assume the cartons of eggs are independent because each carton has its own probability of containing broken eggs.

Olaf expects to get 1.8 broken eggs when he buys 3 dozen eggs, with a standard deviation of 0.5. It is necessary to assume the cartons of eggs are independent because each carton has its own probability of containing broken eggs.

a. Olaf expects to get 1.8 broken eggs.

b. The standard deviation is 0.5.

c. Yes, it is necessary to assume the cartons of eggs are independent because each carton has its own probability of containing broken eggs, and if they are not independent, the probability of one carton containing broken eggs will influence the other cartons.

Olaf expects to get 1.8 broken eggs when he buys 3 dozen eggs, with a standard deviation of 0.5. It is necessary to assume the cartons of eggs are independent because each carton has its own probability of containing broken eggs.

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The electric field is the derivative of the electric potential with respect to position. So we can find the electric field by finding the derivative of V(y) with respect to y.

What does a math function mean?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variablevariable).

dV/dy = 8y - 3

So, at position y=6, the electric field is E = dV/dy = 8*6 - 3 = 45

Therefore, the magnitude of the electric field at position (2,6) is 45 N/C.

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The distributive property is used eliminate the parentheses in the equation and the solution of the equation is not correct.

Part A: The distributive property can be used to eliminate the parentheses in the equation.

Part B: Using the distributive property, we get:

-10 + 6h - 48 = -8h - 12

6h + 8h = 48 + 10 -12

14h = 70

Now we divide both sides by 14:

h = 70/14

h = 5

Part C: To verify the solution, we can substitute 5 back into the original equation and see if both sides are equal.

-10 + 6(5 - 8) = -4(2(5) + 3)

-10 + 6(-3) = -4(10 + 3)

-10 - 18 = -4(13)

-28 = -52

Thus, the solution is not correct.

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Answer:

Part A: The distributive property can be used to eliminate the parentheses in the equation.

Part B: Using the distributive property, we get:

-10 + 6h - 48 = -8h - 12

6h + 8h = 48 + 10 -12

14h = 70

Now we divide both sides by 14:

h = 70/14

h = 5

Part C: To verify the solution, we can substitute 5 back into the original equation and see if both sides are equal.

-10 + 6(5 - 8) = -4(2(5) + 3)

-10 + 6(-3) = -4(10 + 3)

-10 - 18 = -4(13)

-28 = -52

Thus, the solution is not correct.

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined.

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).

Mathematical procedures are comparable to those of a soda vending machine. You can choose from a variety of sodas after you deposit a particular sum of money.

Similar to how we enter different numbers into functions, we also receive new numbers as the outcome. The two essential characteristics of functions are domain and range. A soda can be purchased using quarters and one dollar bills. If pennies are put into the machine, no soda flavour will be provided.

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Answer: 40

Step-by-step explanation:

The area of the region in the first quadrant within the limacon r = 5 + sin(o) is 25π/2 + 5π - 2.

The definite integral that represents the area of the region in the first quadrant within the limacon r = 5 + sin(o) is given by:

∫0π/2 (5 + sin(o))2 do

This integral can be evaluated by using the formula for the area of a circle, A = πr2, and converting it to polar coordinates. Since the radius of the limacon is given by r = 5 + sin(o), the area of the region within the limacon is calculated by:

A = ∫0π/2 (5 + sin(o))2 do

 = ∫0π/2 (25 + 10 sin(o) + sin2(o)) do

 = 25π/2 + 5π - (cos(π/2) - cos(0))

 = 25π/2 + 5π - 2

Therefore, the area of the region in the first quadrant within the limacon r = 5 + sin(o) is 25π/2 + 5π - 2.

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The numbers in table are in proportion. Therefore, option B is the correct answer.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Here,

From the table A:

1/5 = 3/15 = 5/20 = 7/28

1/5 = 1/5 ≠ 1/4 = 1/4

Here, numbers are not in proportion.

From the table B:

3/9 = 5/15 = 7/21 = 8/24

1/3 = 1/3 = 1/3 = 1/3

The numbers are in proportion.

From the table C:

4/12 = 6/18 = 7/28 = 9/36

1/3 = 1/3 ≠ 1/4 ≠ 1/4

The numbers are not in proportion.

From the table D:

2/8 = 3/12 = 4/16 = 5/30

1/4 = 1/4 = 1/4 ≠ 1/6

The numbers are not in proportion.

Therefore, option B is the correct answer.

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2 and 1/4 chocolate and shared it among her eight friends.

24 people did he share with candy bar.

What is meant by chocolate ?

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The artist wants to paint a canvas that is proportional to the photograph, which measures 4 inches by 5 inches.

To calculate the proportionality, we will use the formula for converting inches to centimeters. 1 inch is equal to 2.54 centimeters. Therefore, 4 inches is equal to 10.16 centimeters and 5 inches is equal to 12.7 centimeters. Therefore, the artist should purchase canvases that are 10.16 centimeters by 12.7 centimeters in size. This will correspond to the following canvas prices: $6.43, $11.65, $18.47, and $22.80. By purchasing these canvases, the artist will ensure that the painting is proportional to the photograph.

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Answer: √6/8 x √6/18

Step-by-step explanation: The square root of A over B is the same as the squared of A, so it's important to know that before I start with this product. To go over the square.

I can do that if I combine the two square roots under the exact square root. This is only for multiplication.

I could take the square root of the term separately

Since I'm using fractions, I'll add the tops and bottoms to the equation.

The square root is eight times 18 and the squared root is six times six. It is the square to 36 over. It's eight times 18. There are 44 items.

The square to 36 is a question. I don't know what time it gives me. There were 36. 36 times six is 6. Six Over would be this. What time gives me 1 44?

Twelve times. 6/12 would be the day. It doesn't want me to reduce that, but I could.

The answer would be 6/12.

Answer:

b

Step-by-step explanation:

b. There is 5% probability that a true null hypothesis will be rejected.

A p-value of 0.05 represents the probability of obtaining a test statistic as extreme or more extreme than the one observed under the assumption that the null hypothesis is true. In other words, it is the probability of observing the data or more extreme data assuming the null hypothesis is true. It is also the threshold level of significance beyond which the null hypothesis is rejected in favor of the alternative hypothesis. A p-value of 0.05 means that there is a 5% probability that the observed results occurred by chance under the null hypothesis and that there is a 95% probability that the observed results occurred due to a real effect.

Answer:

مرتم باشگاه ورزشی خیلی علاقه داشتم خیلی قشنگ بی که خیلی تخفیف فایل که خیلی خوعه بچه آخر بی

Answer:
After four bites, Alice would be 256 inches tall.

An exponential function that models this growth would be f (x) = 64.22 where x is the number of bites she takes.

If Alice doesn't take any bites (zero bites), her height would be 64 inches.

are true statements.

If Alice takes two bites, she will be 256 inches tall. is false and After three bites, Alice would be 192 inches tall is also false.

In the given case, the population is assumed to have a normal distribution.

When creating a confidence interval for the population mean with a sample size of 100, the population is taken to have a normal distribution. This is due to the Central Limit Theorem, which asserts that regardless of the population distribution's form, the distribution of the sample means approaches a normal distribution as the sample size increases.

Therefore, it is safe to infer that the population mean is normally distributed when the sample size is large enough, for instance, n>30. Additionally, it is also ideal to conclude that the population mean has a normal distribution since a sample size of 100 is greater than 30.

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The exponential depreciation rate to the nearest tenth of a percent is -0.2%. 

we need to use the exponential decay formula to find exponential rate.

A = A0 * e^(-rt)

where:

A0 = initial value of car (52,000)

A = final price of the car (45,000)

t = elapsed time (32 months)

r = exponential depreciation rate

Rearrange the formula to solve for the exponential depreciation rate "r".

r = -ln(A/A0) / t

Insert value:

r= -ln(45,000 / 52,000) / 32

r = -0.067115074/32

r = -0.002097288

The exponential depreciation rate, expressed as a percentage to the nearest tenth of a percent, is obtained by multiplying by 100.

r = -0.002097288 * 100

r = -0.21D

44 Therefore, the exponential depreciation rate to the nearest tenth of a percent is -0.2%. 

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(a) 1 sack of rice contains 100 kg of rice. If 1 basin of rice is equal to 20 cups, then 1 sack is equal to 40*20 = 800 cups.

Therefore, 1 basin of rice contains 100/40 = 2.5 kg of rice.

1 cup of rice contains 2.5/20 = 0.125 kg of rice.

(b) A trader buys a sack of rice for 6 000 and sells it at 200 per basin. If 1 sack contains 800 cups of rice, then the total revenue from a sack of rice is 800*200 = 160,000.

Therefore, the profit on a sack of rice is 160,000-6,000 = 154,000

(c) A trader charges #5 000 for a sack of beans and 140 for a basin. If four women buy a sack of beans between them, they share the beans equally, so each woman gets 1/4 of a sack of beans, which is equal to 1/440 = 10 basins of beans.

Each woman gets 10 basins of beans which cost 14010 = 1,400. If they had bought the beans individually at 140 per basin, they would have spent 140*10 = 1,400.

So each woman saves 5,000/4 = 1,250 by buying the beans in this way.

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According to the Pythagorean Theorem 1. b = 122. a = 1/4 for more detail scroll down.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The theorem can be written as an equation: c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

1. To use the Pythagorean theorem to find the length of side b, you can use the equation: c^2 = a^2 + b^2. In this case, c = 15 and a = 9, so you can substitute those values into the equation and solve for b:

15^2 = 9^2 + b^2

225 = 81 + b^2

b^2 = 225 - 81

b^2 = 144

b = sqrt(144)

b = 12

2. In the second case a is unknown and the other two sides are in fraction form, so we can use Pythagorean theorem to find the value of a.

The equation is c^2 = a^2 + b^2

(5/12)^2 = a^2 + (4/12)^2

25/144 = a^2 + 16/144

a^2 = 9/144

a = sqrt(9/144)

a = sqrt(1/16)

a = 1/4

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Answer:

Cross section at z = -1: y = 3(-1)^2 - 3x^2 = -3x^2

Cross section at z = 0: y = 3(0)^2 - 3x^2 = -3x^2

Cross section at z = 1: y = 3(1)^2 - 3x^2 = -3x^2

Cross section at y = -1: x^2 = (3z^2+1)/3; x = sqrt((3z^2+1)/3) or x = -sqrt((3z^2+1)/3)

Cross section at y = 0: x = 0;

Cross section at y = 1: x^2 = (3z^2-1)/3; x = sqrt((3z^2-1)/3) or x = -sqrt((3z^2-1)/3)

Cross section at x = -1: z^2 = (3y+1)/3; z = sqrt((3y+1)/3) or z = -sqrt((3y+1)/3)

Cross section at x = 0: z = 0;

Cross section at x = 1: z^2 = (3y-1)/3; z = sqrt((3y-1)/3) or z = -sqrt((3y-1)/3)

Step-by-step explanation:

Answer:

the first one is 16=-4+12

from here you can solve

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation:

y= –x+z

1. 16= –4+z

16+4=z

20=z

z=20

2. 15= –5+z

15+5=z

20=z

z=20

z=20 is true