what is the equivalent of 2a + 3b + 5c
A: 3b + 2a + 5c
B: 2a + 8bc
C: 5ab + 5c
D: 1abc

Answer:

-4/9........

Step-by-step explanation:

can u mark my answer the branliest

Answer:

c. 43

Step-by-step explanation:

i hope this helps :)

Answer:

Adult= 150 and Children=136

Step-by-step explanation:

The law of sines can't only be applied to right triangles. Therefore, it's B. False.

The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all the three sides of the triangle.

The law of sines is used to solve any triangle, when we know two angles and one side or two angles and one included side. So, it can be used on non-right triangle and right triangle as the case may be.

The sine law states that the ratio of a triangle's side length to the sine of the opposite angle is the same for all three sides. When we are given a) two angles and one side, or b) two sides and a non-included angle, we use the sine rule.

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Answer:

33°

Step-by-step explanation:

(9 , -1), (4 , 2)

cos α = (x₁ * x₂ + y₁ * y₂) / (√(x₁² + y₁²) * √(x₂² + y₂²))

x₁ = 9,  

x₂ = 4,  

y₁ = -1,  

y₂ = 2

cos α = (9*4 + -1*2) / (√(81+1) * √(16+4))

         = 34/ (√82 * √20)

         ≈ 0.8396

α = 32.91° ≈ 33°

1 inch and 1 5/8 inch are the lengths of the needles used in dentistry.

Dentistry is a profession concerned with the prevention and treatment of diseases of the oral cavity, including diseases of the teeth, supporting structures of the mouth, and soft tissue diseases.

Dentistry is the art and science of preventing, diagnosing, and treating conditions, diseases, and disorders of the oral cavity, maxilla, facial area, and structures associated with humans.

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To find the expected number of each animal type treated by the veterinarian, we will multiply the percentage distribution by the total number of animals treated in a month.

Total animals = 230

Dogs: 61% * 230 = 0.61 * 230 = 140.3 (approximately 140)
Cats: 22% * 230 = 0.22 * 230 = 50.6 (approximately 51)
Livestock: 8% * 230 = 0.08 * 230 = 18.4 (approximately 18)
Birds: 6% * 230 = 0.06 * 230 = 13.8 (approximately 14)
Other: 3% * 230 = 0.03 * 230 = 6.9 (approximately 7)

So, the expected number of each animal type treated is:
Dogs: 140
Cats: 51
Livestock: 18
Birds: 14
Other: 7

The correct answer is C) Animal type Dogs Cats Livestock Birds Other Expected 140 51 18 14 7

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The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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Answer:

3 : 7

Step-by-step explanation:

make sure the three of on the left

The number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b

Margo finds that 3 out of every 7 boxes of nuts are cashews.

In order to calculate the ratio of two quantities, we can use the following steps

First, we must determine the quantities for both scenarios for which we are calculating the ratio. In this situation, there are three cashews and seven boxes.

Write it as a fraction, a/b. As a result, we write it as 3/7.

Therefore, the number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.

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The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.

To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:

Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ

For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78

For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06

Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803

Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178

So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.

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Step-by-step explanation:

x = the number

.60 x = 492                          .60 is 60% in decimal

then   x = 492 / .6        and we want 75% of this number  ( .75 )

 .75 x   = .75 *  492/.6   = 615

Answer:

the answer is a because the text shows it

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

A... 25%

Step-by-step explanation:

75/300 = 1/4

0.25 = 25%

The probabilities are given as follows:

a. P(number greater than 10) = 1/6.

b. P(number less than 5) = 1/3.

c. The solid is fair, as each side of the dice has the same probability of coming up.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of outcomes for this problem is given as follows:

12.

2 of the numbers are greater than 10, which are 11 and 12, hence the probability is given as follows:

p = 2/12

p = 1/6.

4 of the numbers, which are 1, 2, 3 and 4, are less than 5, hence the probability is given as follows:

p = 4/12

p = 1/3.

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Answer:

b=3.4     so it is d

Step-by-step explanation:

Subtract 2.3  from both sides of the equation

b+2.3 = 5.7

b+2.3 - 2.3 = 5.7- 2.3

and the simply

Answer:

Well Kelly should do L($3.00)+$35.00

The final answer depends upon how many packages of laces she buys.

The volume of a cylinder depends on the product of the base area (π * radius^2) and the height. The height of the cylinder is 17 millimeters.

In this case, since we have the volume and the radius, we can rearrange the formula to solve for the height.

To find the height of the cylinder, we can use the formula for the volume of a cylinder:Volume = π * radius^2 * height

Given:

Volume = 4,352π cubic millimeters

Radius = 16 millimeters

Substituting the given values into the volume formula, we have:

4,352π = π * (16^2) * height

Simplifying the equation:

4,352 = 256 * height

Dividing both sides of the equation by 256:

height = 4,352 / 256

height = 17

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In this case, we cannot find the limit as (x, y) approaches (0, 0) using standard techniques. This suggests that the limit may not exist at (0, 0) for the given expression.

I'm happy to help you with your question. As (x, y) approaches (0, 0), we want to find the limit of the following expression:
(sin(2x) - 2x + y) / (x^3 + y)
To find the limit, we can use L'Hopital's Rule for the indeterminate forms 0/0 or ∞/∞. However, we first need to check if we can apply L'Hopital's Rule in this case. Since this expression involves two variables (x and y), we should attempt to rewrite the expression in terms of one variable or determine if the limit exists.
After analyzing the given expression, it is difficult to rewrite it in terms of a single variable or directly apply L'Hopital's Rule. In this case, we cannot find the limit as (x, y) approaches (0, 0) using standard techniques. This suggests that the limit may not exist at (0, 0) for the given expression.

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Symbol used to compare the negative two and three tenths repeating and negative eight thirds is :

negative two and three tenths > negative eight thirds.

As given in the question,

Given numbers :

Negative two and three tenths = \(-2\frac{3}{10}\)

                                                    = -23 /10

Negative eight thirds = -8/3

To compare two numbers using symbols <, >, or = denominator should be equal

Least common multiple of 10 and 3 is 30.

(-23/10) ×(3/3) = -69/30

(-8/3)×(10/10) =-80/30

-69/30 > -80/30

⇒\(-2\frac{3}{10}\) > -8/3

Therefore, symbol used to compare the negative two and three tenths repeating and negative eight thirds is :

negative two and three tenths > negative eight thirds.

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Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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Answer:

Step-by-step explanation:

Decrease

Percent decrease

Answer: 75%

Step-by-step explanation:

35% of 5 liters is 1.75 liters

1.75 liters + 8 liters = 9.75 liters (only juice)

(5 liters + 8 liters = 13 liters) (the whole thing)

So, 9.75/13 is 75%

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

Answer:

31

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

15/60 = 1/4

Hello there! :)

15 minutes is 1/4 of an hour.

An hour is 60 minutes:

\(\frac{}{60}\)

We have 15 minutes:

\(\frac{15}{60}\)

Reduce your answer by dividing 15 and 60 by 15:

\(\frac{1}{4}\)

Hope this helps!

~Just a determined gal

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\(Mysterious Nature\)

The area of figure is 272.52 square units.

The given figure consist:

A parallelogram of,

length = 12

width   = 18

Since we know that,

Area of parallelogram  = length x width

                                      = 12 x 18

                                      = 216 square units

And it consist of a semicircle of,

radius = 12/2

          = 6

Since we know that,

Area of semicircle is = πr²/2

                                  = 3.14 x 6 x 6/2

                                  = 56.52 square units

Thus,

The area of figure is sum of both areas,

⇒ 216 + 56.52

Hence, area is

⇒ 272.52 square units

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