ANSWER ASAP, find the area. Use 3.14 if needed. Round to nearest hundredth

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] can be done in the following manner,

[tex]\dfrac{x+4}{x^2+3x-10} - \dfrac{x-1}{x^2+2x-8}\\\\\\= \dfrac{x+4}{(x-2)(x+5)} - \dfrac{x-1}{(x+4)(x-2)}\\\\\\= \dfrac{(x+4)(x+4)- (x-1)(x+5)}{(x+4)(x-2)(x+5)} \\\\\\= \dfrac{x^2+16+8x-x^2-5x+x+5}{x^3+7x^2+2x-40}\\\\\\=\dfrac{4x+21}{x^3+7x^2+2x-40}[/tex]

Hence, the simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).

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Answer:

  4.34 inches

Step-by-step explanation:

You want the diameter of a cylinder if the stroke length is 4.5 in, and 6 of them have a volume of 400 in³.

Filling the given values into the formula, we have ...

  400 = π/4(d²)(4.5)(6)

  d² = 400(4)/(4.5·6π) . . . . . . . . . divide by the coefficient of d²

  d = 40/(3√(3π)) ≈ 4.34 . . . . . . . take the square root

The diameter is about 4.34 inches.

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Answer:

155-50=105

Step-by-step explanation:

hopefully  its right because you have to take the maximum and subtracted from the minimum

Using separation of variables for the differential equation, it is found that:

a) The differential equation is: [tex]\frac{dP}{dt} = kP[/tex]

b) The solution is: [tex]P(t) = 5000e^{kt}[/tex]

c) In 6 months, the population is: [tex]P(6) = 5000e^{6k}[/tex]

Population of fishes in a pond is directly proportional to amount of fishes present in the bond, hence the differential equation is:

[tex]\frac{dP}{dt} = kP[/tex]

In which k is the growth rate.

In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

Hence, for the differential equation in this problem:

[tex]\frac{dP}{dt} = kP[/tex]

[tex]\frac{dP}{P} = k dt[/tex]

[tex]\int \frac{dP}{P} = \int k dt[/tex]

[tex]\ln{P} = kt + P(0)[/tex]

[tex]P(t) = P(0)e^{kt}[/tex]

In which P(0) = 5000 is the initial population, hence:

[tex]P(t) = 5000e^{kt}[/tex]

In 6 months, the population is:

[tex]P(6) = 5000e^{6k}[/tex]

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Answer:

1 pound of rice is $2.25. Counting up the graph, - 2, 4, 6, 8, 10.

Step-by-step explanation:

You didn't add the picture so this is how I explained it.

Answer:

b

Step-by-step explanation:

Answer:

24 cm²

when finding area, multiply base by height

[tex]4 * 6 = 24[/tex]

Answer:

A = 24 cm^2

Step-by-step explanation:

The formula for the area of a parallelogram is

A = bh where b is the base and h is the height

A = 6 * 4

A = 24 cm^2

Answer:

-h - 6

Step-by-step explanation:

(6h + 2) + (-7h - 8) <== remove parenthesis

6h + 2 - 7h - 8 <== combine like terms

6h - 7h + 2 - 8

-h - 6

Hope this helps!

There are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.

If the equation is given a unique and single value of variable after solving, then the equation is said one solution equation. Such equation gives exactly one solution.

The three solution of an equation are-

The expression for y is given as,

y³=125

Here, y is a real number. equate the equation to zero,

y³-125=0

y³-5³=0

Use the formula of difference of two perfect cube as,

(y-5)(y²+5y+25)=0

The values of y we get after solving the equation as,

y=5, 2.5-4.3301i, 2.5+4.3301i

Thus, there are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.

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Answer:

[tex]154.05[/tex]

Goodluck

The probability that the cat lands on its feet both times it falls out of a tree is 0.85

The probability that the cat lands on its feet is given as:

P(Feet) = 0.92

The probability that it lands on its feet twice is calculated using:

P = P(Feet) * P(Feet)

So, we have:

P = 0.92 * 0.92

Evaluate

P = 0.85

Hence, the probability is 0.85

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The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

To answer the question, we need to know what a regression model is

A regression model is an equation or model that shows if there is a relationship between two variables.

Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.

Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.

So, y = -2.8sin(0.65x + 120.2) + 12.2

y = -2.8sin(0.65(6) + 120.2) + 12.2

y = -2.8sin(3.9 + 120.2) + 12.2

y = -2.8sin(124.1) + 12.2

y = -2.8(0.8281) + 12.2

y = -2.32 + 12.2

y = 9.88

y ≅ 9.9

So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

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Answer:

the answer is a and I hope this helps you.

Hey there!

3% of 4.14 * 10

≈ 3% * 4.14 * 10

≈ 3/100 * 4.14 * 10

≈ 0.03 * 4.14 * 10

≈ 0.1242 * 10

≈ 1.242

Therefore, the answer should be:

Option A. 1.242

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Sum of supplementary angles is 180°

Find the value of x

Find the measure of ∠B

Supplementary angles have sum 180°

<B

Answer:

Step-by-step explanation:

Area of shaded region

  When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).
[tex]\sf \boxed{\text{Area of the shaded region =$\dfrac{Area \ of \ square - area \ of \ circle}{2}$}}[/tex]

Area of square = side *side

                          = 8 * 8

                          = 64 square inches

     diameter of the circle = side of the square

                                     d = 8 in

                                      r = 8/2 = 4 in

   [tex]\sf \text{Area of circle = \pi r^2}[/tex]  Area of circle = πr²

                            = 3.14 * 4 * 4

                            = 50.24 square inches

[tex]\sf \text{Area of shade region = \dfrac{64 - 50.24 }{2}}[/tex]

[tex]\sf \text{Area of the shade region = $\dfrac{64 - 50.24}{2}$}[/tex]

                                       [tex]\sf = \dfrac{13.76}{2}\\\\= 6.88 \ square inches[/tex]

Answer: C option

Step-by-step explanation:

Since the drawing is 5x more than real object then we have to divide the numbers

a= 35/5 = 7

b= 30/5 = 6

c= 15/3 = 3

Answer:

C. $26 is the closest estimate

Step-by-step explanation:

127.59 rounded is 128

128 x 0.2 = 25.6
25.6 is closest to 26 so C is the answer

so that is the closest estimate
this should be correct! :)

Answer: Option A

Step-by-step explanation:

Replace F with 86 then solve

86 - 32 = 54

54 × 5/9 = 30

C =30

Answer:

Step-by-step explanation:

5/9(86-32)

5/9(54)

5(6)= 30

answer is A

Answer:

check the attachment for your answer

Step-by-step explanation:

Answer:

O 0.50

Step-by-step explanation:

when x = 0, the probability is 0

when x = 1, the probability is 0.1

when x = 2, the probability is 0.2

when x = 3, the probability is 0.125

when x = 4, the probability is 0.05

Answer:

-32 , 64

Step-by-step explanation:

This is a geometric sequaence and each term is obtatained by multiplying the previous number with the common ratio 'r'

          [tex]\sf \boxed{r = \dfrac{second \ term }{first \ term}}[/tex]

[tex]\sf r =\dfrac{4}{(-2)}[/tex]

r = -2

The next two terms ,

   Fifth term = 16 *(-2) = -32

  Sixth term  = (-32) * (-2) = 64

                - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

           What are the next two terms of the following sequence?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

The next two terms are -32 and 64.

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

                First of all, let's identify what kind of sequence this is.

The two main types of sequences are:

In the given sequence, we use multiplication, so we're dealing with a [tex]\textit{geometric sequence}[/tex].

In order to get to the next term, we multiply by -2.

So in order to find the next two terms of the sequence, we take the previous term and multiply it by -2 as follows:

16•(-2)=-32

We've found the 5th term of the geometic sequence.

Now let's find the 6th:

-32•(-2)=64 (the product of a negative and a negative results in a positive)

The next two terms in the sequence are -32 and 64.

                - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The amount of a sample remaining after t days is given by the equation p(1) - al2 is: 74 days.

Using this formula

P(t)=A×(1/2)^t/h

Let plug in the formula

0.6x=x ×(1/2)^t/h

0.6=(1/2)^t/100

Hence:

Log0.6=Log(1/2)^t/100

Log 0.6=t/100× log0.5

Log 0.6/Log0.5×100=t

-0.2218487/-0.30102999×100=t

0.736×100=t

t=73.6

t=74 days (Approximately)

The amount of a sample remaining after t days is: 74 days.

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Answer:

74 DAYS

Step-by-step explanation:

I DID IT ON EDGE

Answer:

1 : 2 : 5

Step-by-step explanation:

20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )

= 1 : 2 : 5

The first step is to Prepare. Heidi wants to make a 30 pounds of molasses solution. She mixes and solution together. How much mixture does she make?

Answer:

i believe the third one so this  37 < r ≥ 42 Step-by-step explanation:

Answer:

  (a)  r < 37 or r ≥ 42

Step-by-step explanation:

Translating the given relations to math symbols, we have ...

  "less than 37 minutes"  ⇒  r < 37

  "no less than 42 minutes"  ⇒  r ≥ 42

__

Written as a single statement, this is ...

  r < 37 or r ≥ 42

_____

Additional comment

The solution regions are disjoint, so an "or" statement must be used. The form ...

  37 > r ≥ 42

cannot be used, because it is false that 37 > 42.