i need help on this slope problem-

Answer:

A plant receiving water from precipitation is an interaction between the biosphere and the hydrosphere.

The value of c that makes the two expressions equivalent is -20.74.

Let's start by simplifying the expression 6.1(2x - 3.4). To do this, we use the distributive property of multiplication, which states that a(b + c) = ab + ac. Applying this to our expression, we get:

6.1(2x - 3.4) = 6.1(2x) - 6.1(3.4) = 12.2x - 20.74

Now we can rewrite the equation we want to solve as:

12.2x + c = 12.2x - 20.74

To solve for c, we need to isolate it on one side of the equation. We can do this by subtracting 12.2x from both sides:

c = -20.74

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The  volume of each solid figure are (3)   52h³  (4) 1530h³ and (5) 1348 h³

A cuboid is a convex polyhedron bounded by six rectangular faces with eight vertices and twelve edges, also known as a hexahedron

The volume of a cuboid can be calculated using the formula Volume of a cuboid = Length × Width × Height Cubic units

The volume of each of the cuboids is the volume of the larger one + the volume of the small one

(3) Volume = LWH  + lwh

Volume = (7*1*4) + (4*2*3)

Volume = 28 + 24

The volume is = 52h³

(4) Volume = LWH  + lwh

Volume= (10*16*9) + (6*5*3)

Volume= 1440 + 90

Volume= 1530h³

5)  Volume = LWH  + lwh

Volume=  (13*10*10) + (3*4*4)

Volume=  1300 + 48

Volume=  1348 h³

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The probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.

Let X represent a random variable which represents the proportion all school graduates who secure employment in their profession of choice within a year of graduation:

With a binomial distribution,

X has a n = 5 and a p value of 0.57.

n = number of trial.

p = probability of success

x = number of success.

A binomial distribution's probability mass function is provided by:

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

The likelihood that at least one gets employment in their field of choice within a year after graduation:

P(X ≥ 1) = 1 - P(X < 1)

P(X ≥ 1) = 1 - P(X = 0)

P(X ≥ 1) = 1 - ⁵C₀ . (0.57)⁰ . (0.43)⁹⁻⁰

P(X ≥ 1) = 1 - 0.603

P(X ≥ 1) = 0.9396

P(X ≥ 1) = 93.96%

Thus, the probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.

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The complete question is-

A study conducted at a certain college shows that 57% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

The quotient when -3x^3 + 10x^2 - 6x + 9 is divided by x - 3 is -3x^2 + x - 3. The remainder is 0.

To perform synthetic division, we set up the table as follows:

  3  | -3   10  -6   9

     |      -9   3 -9

  -------------------

    -3   1  -3   0

The numbers in the first row of the table are the coefficients of the polynomial, starting from the highest power of x and going down to the constant term. We divide each coefficient by the divisor, which in this case is x - 3, and write the results in the second row. The first number in the second row is the constant term.

To calculate the values in the second row, we multiply the divisor (x - 3) by each number in the first row, and subtract the result from the corresponding number in the first row. The first number in the second row is obtained by multiplying 3 by -3 and subtracting it from -3. This process is repeated for each term in the polynomial.

The numbers in the second row represent the coefficients of the quotient. Therefore, the quotient is -3x^2 + x - 3. Since the remainder (the last number in the second row) is 0, we can conclude that -3x^3 + 10x^2 - 6x + 9 is evenly divisible by x - 3.

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Mr. Red's salary is an illustration of an arithmetic sequence

The explicit rule of Mr. Red's salary is an = 500n + 29500

Mr. Red's salary is an arithmetic sequence with the following parameters:

First term, a1 = 30000

Common difference, d = 500

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 30000 + (n - 1) * 500

Evaluate the product

an = 30000 - 500 + 500n

This gives

an = 29500 + 500n

Rewrite as:

an = 500n + 29500

Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500

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The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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Answer:

i cant read it!!!

Step-by-step explanation:

Answer:

it is not seen properly.would you mind sending it again?

Answer:

Both can be true irrespective of the common difference.

Step-by-step explanation:

Complete question is attached.

Answer:

a) ED = 6.5 cm

b) BE = 14.4 cm

Step-by-step explanation:

From the triangle, we are given the following dimensions:

AB = 20 cm

BC = 5 cm

CD = 18 cm

AE = 26 cm

We are asked to find length of sides ED and BE.

a) Find length of ED.

From the triangle Let's use the equation:

\frac{AB}{BC} = \frac{AE}{ED}BCAB=EDAE

Cross multiplying, we have:

AB * ED = AE * BC

From this equation, let's make ED subject of the formula.

ED = \frac{AE * BC}{AB}ED=ABAE∗BC

Let's substitute figures,

ED = \frac{26 * 5}{20}ED=2026∗5

ED = \frac{130}{20} = 6.5ED=20130=6.5

Therefore, length of ED is 6.5 cm.

b) To find length of BE, let's use the equation:

\frac{AB}{AC} = \frac{BE}{CD}ACAB=CDBE

Cross multiplying, we have:

AB * CD = AC * BE

Let's make BE subject of the formula,

BE = \frac{AB * CD}{AC}BE=ACAB∗CD

From the triangle, length AC = AB + BC.

AC = 20 + 5 = 25

Substituting figures, we have:

BE = \frac{20 * 18}{25}BE=2520∗18

BE = \frac{360}{25} = 14.4BE=25360=14.4

Therefore, length Of BE is 14.4cm

I JUST SO THAT IN INTERNET:)

Answer:

Step-by-step explanation:

Hi

Answer: 4x+32 and 4(x+8)

Step-by-step explanation:

a square has four equal sides right so if one side is x+8 then it means all the rest of the sides equals the same. And it also means that if we want to find the perimeter we need to times this expression by 4

you could show this by literally timing the expression by 4 4x+32 or you can show 4 of this expression equals the perimeter  times 4 and you can do this using brackets 4(x+8).

hope this helped :)

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

68oz

Step-by-step explanation:

1) 3lbs x 16oz = 48

Now we know 3lbs is 48oz. since one pound is 16 ounces, 3 pounds is 48 ounces.

2) 48 + 20 = 68oz

3) The total weight of both packages is 68 ounces.

Jesus loves ya, have a great day!

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

John 8:12 - When Jesus spoke again to the people, he said, "I am the light of the world. Whoever follows me will never walk in darkness, but will have the light of life."

Answer:

C≈69.12

Step-by-step explanation:

C=2πr=2·π·11≈69.11504

The derivative of the function `y` with respect to x is: \($$\frac{dy}{dx}=\frac{5x^2-67}{(x^2+3)^2}$$\)

a) Use the Quotient Rule to find the derivative of the given function. For the given function `y`, we have to find its derivative using the quotient rule.

The quotient rule states that the derivative of a quotient of two functions is given by the formula:

\($\frac{d}{dx}\frac{u}{v}=\frac{v\frac{du}{dx}-u\frac{dv}{dx}}{v^2}$\) where \($u$ and $v$\) are the functions of \($x$\).

Given function `y` is: \($$y = \frac{5x^3 + 2}{x^2 + 3}$$\)

Applying the quotient rule on the given function `y` we get:$$y' = \frac{(x^2 + 3)\frac{d}{dx}(5x^3 + 2) - (5x^3 + 2)\frac{d}{dx}(x^2 + 3)}{(x^2 + 3)^2}$$$$\frac{dy}{dx}=\frac{(x^2 + 3)(15x^2)-(5x^3 + 2)(2x)}{(x^2 + 3)^2}=\frac{15x^4+45x^2-10x^4-4x}{(x^2 + 3)^2}$$$$\frac{dy}{dx}=\frac{5x(5x^2-2)}{(x^2+3)^2}$$

Therefore, the derivative of the function `y` with respect to x is:\($$\frac{dy}{dx}=\frac{5x(5x^2-2)}{(x^2+3)^2}$$\)

b) Find the derivative by dividing the expressions first y for #0To find the derivative of `y`, we divide the expressions first. Let's use long division for the same.

\($$y=\frac{5x^3+2}{x^2+3}=5x-\frac{15x}{x^2+3}+\frac{41}{x^2+3}$$$$\frac{dy}{dx}=5+\frac{15x}{(x^2+3)^2}-\frac{82x}{(x^2+3)^2}=\frac{5x^2-67}{(x^2+3)^2}$$\)

Therefore, the derivative of the function `y` with respect to x is:\($$\frac{dy}{dx}=\frac{5x^2-67}{(x^2+3)^2}$$\)

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Answer:

$4.49

Step-by-step explanation:

If bananas are $5.99, we need to find 75% of the price, or 25% off. There are two ways we can do this, I'll show the more detailed way. First, we multiply 5.99 by .25 to find 25% of it. We got ~1.50. This means that 25% of 5.99 is 1.50. Now, we take away 1.50 from 5.99. This gets us $4.49. That means the price of the bananas with the discount is $4.49. The other way we can do this is multiply 5.99 and .75 (because 25+75=100). This gets us 4.4925, which rounds to $4.49. I hope this helps!

The area of the sector created by a central angle of 60° in a circle with a diameter of 6 inches is approximately 4.7124 square inches.

To find the area of a sector of a circle, we need to know the central angle and the radius of the circle. In this case, we are given the central angle of 60° and the diameter of the circle, which we can use to find the radius.

The diameter is given as 6 inches, so the radius is half of that, which is 3 inches.

To calculate the area of the sector, we can use the formula:

Area of Sector = (θ/360°) * π * r²

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius.

Plugging in the values:

Area of Sector = (60°/360°) * π * (3)²

Area of Sector = (1/6) * 3.14159 * 9

Area of Sector ≈ 4.7124 square inches

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Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest

Step-by-step explanation:

Answer:

Option (b)

Step-by-step explanation:

It is given that,

Total no of friends are 6

The share of each friend is 4/5

Pizza eaten by each friend is equal to the total pizza eaten divided by total no of friends. It can be given by :

\(=\dfrac{\dfrac{4}{5}}{6}\\\\=\dfrac{4}{5}\times \dfrac{1}{6}\\\\=\dfrac{2}{15}\)

It means that Teagan is correct in using a division expression because the question is about splitting a value into equal parts.  Hence, the correct option is (b).

Answer:

b

Step-by-step explanation:

Hector and Gabrielle will have $638.45 in their savings account after two years of earning 13% interest compounded annually. They will be able to spend up to this amount on their trip.

To solve this problem, we need to use the formula for compound interest:

A = \(P(1 + r/n)^{(nt)\)

where:

A = the final amount

P = the initial deposit

r = the annual interest rate as a decimal

n = the number of times interest is compounded per year

t = the time in years

In this case, we have:

P = $500.00

r = 13% = 0.13 (as a decimal)

n = 1 (compounded annually)

t = 2 years

So, we can plug these values into the formula:

A = $500.00(1 + 0.13/1)²

A = $500.00(1.13)²

A = $500.00(1.2769)

A = $638.45

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Answer:

A), C), E)

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

i hope it helps

thankyou

Answer:

40+x+x=180

40+2x=180

2x=180-40

2x=140

2 2

x=70

Step-by-step explanation:

this is because the triangle is isosceles which means that two angles are equal

Answer:

O 3+(-1)

Step-by-step explanation:

The molar solubility of Co(OH)2 in a solution buffered at pH = 4.50 is negligible, while in a solution buffered at pH = 11.25, it is approximately 5.41 x 10^-6 M.

To calculate the molar solubility of Co(OH)2 in a buffered solution, we need to consider the effect of pH on the solubility.

(a) Buffered Solution at pH = 4.50:

At pH = 4.50, the solution is acidic. In an acidic solution, Co(OH)2 will undergo hydrolysis and form Co2+ ions according to the following reaction:

Co(OH)2 (s) ⇌ Co2+ (aq) + 2 OH- (aq)

Since the hydroxide ion concentration is determined by the pH of the solution, we can use the following equation to calculate the molar solubility (S) of Co(OH)2:

Ksp = [Co2+][OH-]^2

To determine the molar solubility, we need to find the concentration of OH- ions. Since the solution is buffered at pH = 4.50, we can assume the concentration of OH- ions to be negligible. Therefore, the molar solubility of Co(OH)2 in this buffered solution is considered very low or negligible.

(b) Buffered Solution at pH = 11.25:

At pH = 11.25, the solution is alkaline/basic. In an alkaline solution, the concentration of OH- ions is relatively high. We can assume that the OH- concentration is in excess and will not significantly affect the solubility equilibrium.

Using the same Ksp expression:

Ksp = [Co2+][OH-]^2

Since the concentration of OH- ions is in excess, we can consider it to be constant. Therefore, we can directly calculate the molar solubility of Co(OH)2 using the Ksp value.

Let's denote the molar solubility of Co(OH)2 as x. Then, we have:

Ksp = [Co2+][OH-]^2 = x * (2x)²= 4x³

Given that Ksp = 2.5 x 10^-16, we can solve for x:

4x³ = \(2.5 * 10^{-16\)

x³ = (\(2.5 * 10^{-16\)) / 4

x = \(((2.5 x 10^-16)^{(1/3) }/ 2^{(1/3))}^{(1/3)} / 2^{(1/3)\)

Using a calculator, we find that the molar solubility of Co(OH)2 in this buffered solution at pH = 11.25 is approximately 5.41 x\(10^{-6\) M.

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Answer:

i think 9

Step-by-step explanation:

Answer:

its 9 (a) your welcome

Answer:

About 16 years

Step-by-step explanation:

First we need to figure out 5.25% of 12000

5.25 x 0.12000 = 0.63

Then we move the decimal

630

Then we need to figure out how many years it will take to reach $22000

Since we already owe $12000, we can just divide using $10000 because 10000 + 12000 = 22000

10000/630 = 15.87

Which is about 16 years

The maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.

To estimate the maximum error in the calculated area of the rectangle, we can use differentials. The formula for the area of a rectangle is A = length * width.

Given:

Length (L) = 52 cm (with a maximum error of 0.1 cm)

Width (W) = 35 cm (with a maximum error of 0.1 cm)

We want to find the maximum error in the calculated area (dA) when the length and width have a maximum error of 0.1 cm.

Using differentials, we have:

dA = (∂A/∂L) * dL + (∂A/∂W) * dW

Let's calculate the partial derivatives (∂A/∂L) and (∂A/∂W):

∂A/∂L = W (since the width is constant when differentiating with respect to L)

∂A/∂W = L (since the length is constant when differentiating with respect to W)

Substituting the values:

∂A/∂L = 35 cm

∂A/∂W = 52 cm

Now we can calculate the maximum error in the calculated area (dA) using the given maximum errors in length (dL) and width (dW):

dA = (35 cm * 0.1 cm) + (52 cm * 0.1 cm)

dA = 3.5 cm + 5.2 cm

dA = 8.7 cm

Therefore, the maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.

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Answer:

Step-by-step explanation:

Initial value is x, current value is $13600, price reduction by 15%.

Step-by-step explanation:

let the larger number=n

then the smaller number=½n

We conclude from the question that

n+½n=75

3/2n=75

3n=150

n=150/3=50

Therefore the larger number=50 and the smaller number=½×50=25