85(83-27)=
A. 4,670
B. 4,760
C. 4,860
D. 4,960

Step-by-step explanation:

[tex] \sf \hookrightarrow \: {n}^{2} = 20 \\ \sf \hookrightarrow \: \sqrt{ {n}^{2} } = \sqrt{20} \\ \sf \hookrightarrow \: n = \sqrt{20} \\ \star \bf \: n = 2 \sqrt{5} \\ \\ \sf \hookrightarrow \: {a}^{2} = 90 \\ \sf \hookrightarrow \: \sqrt{ {a}^{2} } = \sqrt{90} \\ \sf \hookrightarrow \: a = \sqrt{90} \\ \star \bf \: a = 3 \sqrt{10} [/tex]

Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.

Step-by-step explanation:

Answer:

Step-by-step explanation:

no

Answer:

22:18

Step-by-step explanation:

In this case, firstly you have to add 11 and 9 together, which makes 20.

Then, 40 ( number of sweets ), divided by 20 gives us 2.

This means that every piece, or block, of our ratio will be 2.

Therefore, the last step is multiplying 11x2 and 9x2.

So, Andy has 22 sweets an Trevor has 18.

Answer:

it doesn't have any solutions bc the lines are parallel and don't share any points in common. hope this helps!

Answer:

g(f(x)) means that the x of the g function is the f(x) function, if that makes sense.

so you do 8(x-10)-5

8x-80-5

8x-85

hope that answers your question

Don't hesitate to comment if you don't understand something.

Step-by-step explanation:

Answer:

I think biased

Step-by-step explanation:

it's the best answer for me

Answer:

z ∗ = 2.326

Step-by-step explanation:

The percent of broken bulb will be 5%.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

He takes a random sample of 500 bulbs.

He finds that 25 bulbs arrived broken.

The percentage of broken bulb will be,

= (25/500) * 100

= 0.05 * 100

= 5%

Thus, 5 percent of bulb are broken.

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Answer: A

Step-by-step explanation: A shows a turkey sandwich with all the types of bread and a ham sandwich with all the types of bread.

The expression is 8n – 3; The 100th term is 797

The nth term of an arithmetic sequence is given by:

an=a1+(100-1)d          ....[1]

where

a1  is the first term

d is the common difference of two consecutive terms.

n is the number of terms.

Given the sequence:

5, 13, 21, 29, 37, 45, …

This is an arithmetic sequence with first term  = 5 and common difference(d) = 8

Since;

13-5 = 8,

21-13 = 8,

29-21 = 8  and so on....

We have to find the 100th term in the sequence

Substitute in [1] we have;

an=a1+(100-1)d

an=5+(n-1)8=5+8n-8 = 8n-3

Substitute the given values and n=100 we have;

a100= 800 - 3 = 797

Therefore, the 100th term in the sequence is, 797 and an expression to describe a rule for the sequence is, 8n – 3;

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Check the picture below.

The solution of the system of equations is:

x = 5t - 4

y = -5t + 1

z = t

Option B is the correct answer.

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

From the row-echelon form of the augmented matrix of a system of equations, we get,

x + 0y -5z = -4

x - 5z = -4

x = 5z - 4

0x + y + 5z = 1

y + 5z = 1

y = -5z + 1

0x + 0y + 0z = 0

Now,

Put z = t (any real number)

We get,

x = 5t - 4

y = -5t + 1

Thus,

The solutions are:

x = 5t - 4

y = -5t + 1

z = t

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Answer:

1. There is exactly one plane that contains points E,F, and B (2nd option)

2. The line that can be drawn through points C and G

would lie in plane x. (3rd option)

3. The line that can be drawn through points E and F

would lie in plane y. (4th option)

Step-by-step explanation:

The line that can be drawn through points C and G would lie in X-plane and the point E and F would lie in Y-plane. Then the correct options are C, D, and E.

A plane is a straight surface, with multiple surfaces that never end in maths.

The points C, D, and G lie in X-plane.

And the points E and F lie in Y-plane.

From the diagram, the conclusion points are given below.

Then the correct options are C, D, and E.

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Answer:

[tex]2x+3 \geq 35[/tex]

x is meetings

Step-by-step explanation:

Answer:

You are absolutely correct!

Step-by-step explanation:

An inscribed angle in a circle has half the measure of the corresponding arc.

Answer:

[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]

Step-by-step explanation:

The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].

[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]

We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].

Now add these equations together to get our equation.

[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]

Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].

=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]

Answer:

in step 2, she calculated 2.5^2 incorrectly.

Step-by-step explanation:

its right tho

Answer:

b.

Source:

trust me bro

1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.

To find the amount of money that remains per person after buying raisins, we first need to find the total cost of the raisins. If 4 boxes of raisins cost $1.50 each, then 4*1.50 = $6 is spent on raisins.

To find the amount of money that remains for popcorn and drinks, we subtract the cost of the raisins from the total amount of money: 25-6 = $19.

Since there are 5 people in total (you and 4 friends), we divide the remaining money by 5 to find the amount per person: 19/5 = $3.80 per person.

2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.

To find the cost per player, we divide the total cost of the banquet by the number of players: 960/60 = $16 per player

3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.

The reciprocal of the fraction 2/3 is 3/2

4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.

Let's call the cost of a silver ticket x.

The cost of a gold ticket is x + 8.

We know that Patrick spent 10x + 10(x+8) = $140

We can simplify that: 10x + 10x + 80 = 140

Then we have 20x + 80 = 140

Then we have 20x = 60

And x = 3

Then the price of a silver ticket is $3 and the price of a gold ticket is $3+8 = $11

5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.

If the original recipe calls for 2 cups of sugar and the changed recipe calls for 2 1/2 cups of flour and sugar combined, then the original recipe calls for 2 1/2 - 2 = 1/2 cup of flour.

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Answer:

Option 4

Step-by-step explanation:

"Angle formed between a secant and a tangent at a point outside a circle is equal to half of the difference of the measure of the intercepted arcs"

By applying this theorem in the figure given in the picture,

m∠RST = [tex]\frac{1}{2}[\text{m(arc TU - m(arc RT))}][/tex]

[tex]x=\frac{1}{2}(155-65)[/tex]

[tex]x=\frac{1}{2}(90^0)[/tex]

[tex]x=45^0[/tex]

Therefore, Option 4 is the correct option.

Answer: The explicit formula for this sequence is given by the expression a_n = 3^n, where n is the position in the sequence (starting from n=1 for the first term).

The recursive formula for this sequence is given by the expression a_n = 3a_(n-1), where n is the position in the sequence (starting from n=1 for the first term) and a_(n-1) is the previous term in the sequence.

Here's how you can use the recursive formula to find the terms of the sequence:

a_1 = 2

a_2 = 3a_1 = 3 * 2 = 6

a_3 = 3a_2 = 3 * 6 = 18

a_4 = 3a_3 = 3 * 18 = 54

a_5 = 3a_4 = 3 * 54 = 162

and so on.

To find the explicit formula, you can try to find a pattern in the terms of the sequence. For example, you might notice that each term is simply the previous term multiplied by 3. This pattern can be expressed using the recursive formula a_n = 3a_(n-1). To find the explicit formula, you can then solve for a_n in terms of n:

a_n = 3a_(n-1)

a_n / 3 = a_(n-1)

a_n / 3 = (3a_(n-2)) / 3

a_n / 3 = 3^(n-2)

a_n = 3^n

Therefore, the explicit formula for this sequence is a_n = 3^n.

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

slope= rise/run = -60/40 = -6/4 = -3/2

Answer:

C. 60°

Step-by-step explanation:

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

The store's expected profit from a random shipment of 500 pounds of oranges is approximately $400.88.

Here, we have,

To calculate the store's expected profit from a random shipment of 500 pounds of oranges, we need to consider the probabilities and prices associated with each quality category of oranges.

Let's break down the calculations step by step:

High Quality Oranges:

Probability: 40% of the time

Purchase price: $0.52 per pound

Selling price: $1.99 per pound

Expected profit per pound: $1.99 - $0.52 = $1.47

The expected profit from high-quality oranges per pound is $1.47.

To calculate the expected profit from high-quality oranges in the entire shipment, we multiply the expected profit per pound by the total weight of high-quality oranges:

Expected profit from high-quality oranges = 0.4 * $1.47 * (0.8 * 500) = $235.20

Low Quality Oranges:

Probability: 55% of the time

Purchase price: $0.52 per pound

Selling price: $1.49 per pound

Expected profit per pound: $1.49 - $0.52 = $0.97

The expected profit from low-quality oranges per pound is $0.97.

To calculate the expected profit from low-quality oranges in the entire shipment, we multiply the expected profit per pound by the total weight of low-quality oranges:

Expected profit from low-quality oranges = 0.55 * $0.97 * (0.65 * 500) = $165.68

Rotten Fruit:

Probability: 5% of the time

The store cannot sell any rotten fruit, so the expected profit from rotten fruit is $0.

Now, let's calculate the total expected profit from the entire shipment of oranges:

Total expected profit = Expected profit from high-quality oranges + Expected profit from low-quality oranges + Expected profit from rotten fruit

= $235.20 + $165.68 + $0

= $400.88

Therefore, the store's expected profit from a random shipment of 500 pounds of oranges is approximately $400.88.

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Answer: 0.62

Step-by-step explanation: The probability of an event is a number between 0 and 1. It was given that the probability of getting a tail is 0.38; so, in order to find the probability of getting a head, you have to subtract 0.38 from 1 since flipping a head is the only other option than flipping a tail. Since 1 - 0.38 = 0.62, this is your answer.

Answer:22 days

Step-by-step explanation: since 6days are each given 5ml spoons of medicine three times a day,

Therefore consumption of each day is 90 ml and we have 2000 ml(2litre=2000 ml)

so, 2000/90 = we will get number of days

therefore 22.22 days

Which emplies 22 days.

Answer:

Step-by-step explanation: first we have to solve the bracket both side of equal to.

1/6(3x-6)=1/8(4x+)

x/2-1 = x/2+1

-2

Answer:

Sophia could chug 26 beverages in 2 seconds

Step-by-step explanation:

If Sophia can chug 13 beverages in 1 second.

then, For 2 seconds

13 × 2 = 26

Thus, Sophia could chug 26 beverages in 2 seconds

-TheUnknownScientist

Answer:

Hello! answer: x = 3

each rectangle = 48 Hope that helps!

a) The average rate of change of a function over an interval is the change in the function's output (f(b) - f(a)) divided by the change in the function's input (b - a). So, to find the average rate of change of f over the interval -4 <= x <= 3, we can use the formula:

(f(3) - f(-4)) / (3 - (-4)) = (sqrt(25 - 9) - sqrt(25 - 16)) / (3 - (-4)) = (-2sqrt(7) + 4sqrt(3)) / 7

b) To find the derivative of f(x), we need to use the power rule and the chain rule. The power rule states that the derivative of x^n is nx^(n-1), and the chain rule states that the derivative of f(g(x)) is f'(g(x)) * g'(x).

So, the derivative of f(x) = sqrt 25 - x^2 is:

-2x

c) To find the equation of the line tangent to the graph of f at x = -3, we need to use the point-slope form of a line, which is:

y - y1 = m(x - x1)

where m is the slope of the line (which is f'(-3) = -6), (x1, y1) is the point on the graph where the line touches (which is (-3, f(-3)) = (-3, sqrt(25 - 9) = 2sqrt(7))

so we have: y - 2sqrt(7) = -6(x + 3)

d) To check if g(x) is continuous at x = -3, we need to check if the limit of g(x) as x approaches -3 exists and is equal to g(-3).

Since g(x) = f(x) for -5 <= x <= -3 and g(x) = x + 7 for -3 <= x <= 5, we have:

g(-3) = f(-3) = sqrt(25 - 9) = 2sqrt(7)

and the limit of g(x) as x approaches -3 is:

lim x->-3 g(x) = lim x->-3 (x + 7) = -3 + 7 = 4

Since g(-3) = 2sqrt(7) and lim x->-3 g(x) = 4, g(x) is not continuous at x = -3.

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Answer:

3

Prime factorization:

2^2 × 3 × 5 = 60

The maximum possible width of the box will be equivalent to

w = (V/302.4).

The volume of cuboid is given by -

V{C} = Length x Breadth x Height

Given is a piece of luggage has a height of 20.5 inches and a length of 14.75 inches.

We can write the volume of the box as -

V{b} = L x B x H

Assume the volume of the box is {V} cubic inches and its width be {w} inches. So, we can write the inequality as -

(20.5 x 14.75 x w) = V

w = (V/302.4)

Therefore, the maximum possible width of the box will be equivalent to

w = (V/302.4).

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