Find the ratio a:b, if it is given that a/2 = b/5

Answer:

196 students are going on the field trip

Step-by-step explanation:

Y = 98% * 200

Converting percent to decimal:

p = 98%/100 = 0.98

Y = 0.98 * 200

Y = 196

I hope this helps

Answer: x=85

Step-by-step explanation:

you want to isolate the variable, so:
3.5x+197=494.5

Subtract 197 on both sides of the equation

3.5x=297.5

Divide both sides by 3.5 so now c is by itself on one side of the equation

x=85

Answer:

1 solution - 6

Step-by-step explanation:

add 9 on both sides

3x = 18

divide by 3 on both sides

x = 6

u can solve them using 3 solutions

-rewrite in standard form

-rewrite in implicit form

-graphing

Answer:

v = 63

Step-by-step explanation:

v = 1/2(7)(6)(3)

v = 63

The medicine bottle has 120 doses of 100 miligram each.

As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000

Performing multiplication on Right Hand Side of the equation

Amount of medicine in bottle = 12000 milligrams.

Now, number of dose of 100 miligram medicine = 1

Amount of dose of 12000 miligram medicine = (1/100)×12000

Performing division and multiplication on Right Hand Side of the equation

Amount of doses in 12000 miligram medicine = 120

Thus, there are 120 doses in a medicine.

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The final answer to the integral is:

∫ √(4 - x^2) dx = (1/2) (arcsin(x/2) + (1/2)sin(2arcsin(x/2))) + C

The given integral is ∫ √(4 - x^2) dx.

The integral can be evaluated using trigonometric substitution. Let's consider x = 2sinθ, where -π/2 ≤ θ ≤ π/2.

Differentiating both sides with respect to θ, we get dx = 2cosθ dθ.

Now substitute x and dx in terms of θ in the given integral:

∫ √(4 - x^2) dx = ∫ √(4 - (2sinθ)^2) (2cosθ) dθ

                 = 2∫ √(4 - 4sin^2θ) cosθ dθ

                 = 2∫ √(4cos^2θ) cosθ dθ

                 = 2∫ 2cosθ cosθ dθ

                 = 4∫ cos^2θ dθ

Using the trigonometric identity cos^2θ = (1 + cos2θ)/2, we can simplify further:

∫ cos^2θ dθ = ∫ (1 + cos2θ)/2 dθ

                = (1/2) ∫ (1 + cos2θ) dθ

                = (1/2) (∫ 1 dθ + ∫ cos2θ dθ)

                = (1/2) (θ + (1/2)sin2θ) + C

                = (1/2) (θ + (1/2)sin2θ) + C

Since we substituted x = 2sinθ, we can express θ in terms of x as:

θ = arcsin(x/2)

Therefore, the final answer to the integral is:

∫ √(4 - x^2) dx = (1/2) (arcsin(x/2) + (1/2)sin(2arcsin(x/2))) + C

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Answer:

r = d(x-e)

or r = dx - de

Step-by-step explanation:

x = e + \(\frac{r}{d}\)  subtract e from both sides.

x - e = \(\frac{r}{d}\)  Multiply both sides by d

d(x -e) = r

or

dx -de = r

Get a graphing calculator

Answer:

closed circle on 6 and shaded to the left

Step-by-step explanation:

The answer to fill in the blank is

Mixed Number.

For the reason of:

Each of the numbers 3.25, 26.82 and 125.12 can be written as 3 1/4, 26 41/50 and 125 3/25.

The percent of the dispicable me lovers also like mcdonald's is 71%.

As the question stated-

The percent of the dispicable me = 12 + 7 + 9 = 28%.

The number of mcdonald's lovers = 20%.

Thus, percent of the dispicable me lovers who also like mcdonald's;

= 20 /28

= 20/28

= 0.71

= 71%

Thus, the percent of the dispicable me lovers also like mcdonald's is 71%.

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Answer:

A sample is a subset of a population.

Step-by-step explanation:

Answer:

the value of x that makes this equation true is 9

Step-by-step explanation:

2(x - 6) + x + 14 = 4(x - 3) + 5

open the parenthesis

2x - 12 + x + 14 = 4x - 12 + 5

add 12 to both sides of the equation

2x - 12 + 12 + x + 14 = 4x - 12 + 12 + 5

2x + x + 14 = 4x + 5

subtract 5 from both sides of the equation

2x + x + 14 - 5 = 4x + 5 - 5

3x + 14 - 5 = 4x

3x + 9 = 4x

subtract 3x from both sides of the equation

3x - 3x + 9 = 4x - 3x

9 = 4x - 3x

9 = x

check the answer:

2(x - 6) + x + 14 = 4(x - 3) + 5

2(9 - 6) + 9 + 14 = 4(9 - 3) + 5

29 = 29

Answer:

x = 10.28

Step-by-step explanation:

sin = opp/hyp

sin 40 = x / 16

multiply both sides by 16

16 * sin40 = x

x = 10.284601754984629

Rounded

x = 10.28

Which of the following tests would be administered to see if the percentage of votes in a city’s mayoral election matches what is being reported by the local newspaper?

Two-tailed hypothesis tests are also known as nondirectional and two-sided tests because you can test for effects in both directions

If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.

What is derivative?

In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.

To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:

\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)

Now we can find f'(0) by substituting the value x=0:

\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)

f'(0) = 1 / (4+1) * (1 - 3)

f'(0) = -2/5

Therefore, f'(0) = -2/5.

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Answer:

−5

Step-by-step explanation:

−5x+6

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

 is nax

n−1

.

−5x

1−1

Subtract 1 from 1.

−5x

0

For any term t except 0, t

0

=1.

−5

Evaluate

6−5x

Answer:

-16

Step-by-step explanation:

ez if not u baka

Answer:

use the raditon theroem, 24x^2025x/ax-2 mulitplied by tan is equal to A)-16

Answer:

Step-by-step explanation:

You have to do the opposite of the firs t one. You are going to add 5 to the four to get

p = 9. There is your answer!  Add on both sides!

Answer:

add 5 to both sides of the equal sign

Step-by-step explanation:

the answer will be p=9

Answer:

8 and 7

7 and 4

Step-by-step explanation:

Answer: the biggest odd number is 8467

Answer: the smallest odd number is 4867

Step-by-step explanation:

Answer:

I think -3x-17 sorry if wrong

Step-by-step explanation:

8x+ 32= 5x+15

-3x-17

Answer:

\(8(x + 4) = 5(x + 3) \\ 8x + 32 = 5x + 15 \\ 32 - 15 = 8x - 5x \\ \)

-3x-17

\(\\ \bull\tt\longmapsto h(x)=-3|x+3|-2\)

\(\\ \bull\tt\longmapsto h(6)=-3|6+3|-2\)

\(\\ \bull\tt\longmapsto h(6)=-3|9|-2\)

\(\\ \bull\tt\longmapsto h(6)=-27-2\)

\(\\ \bull\tt\longmapsto h(6)=-29\)

Answer: 16.2

Step-by-step explanation:

8.6+2.2+1.5=16.2

The volume of the joined prism is given by the sum of the volume of the

individual prisms.

Correct responses:

The rectangular prisms that could be joined to create a solid figure are;

The volumes of the given rectangular prisms are;

Volume of first prism, V₁ = 4 units × 4 units × 3 units = 36 cube units

Volume of second prism, V₂ = 4 units × 1 unit × 2 units = 8 cube units

Third prism, V₃ = 5 units × 3 units × 2 units = 30 cube units

Fourth prism, V₄ = 5 units × 4 units × 2 units = 40 cube units

Fifth prism, V₅ = 4 units × 2 units × 2 units = 16 cube units

V₁ + V₂ = 36 cube units + 8 cube units = 44 cube units

V₃ + V₅ = 30 + 16 = 46 cube units

Therefore the two rectangular prisms that could be joined to create a solid figure with a volume between 42 and 47 are;

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\(3 \sqrt{3} \)

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The triangles with the given side lengths are classified as follows:

The ordered side lengths of the triangles are given as follows:

a, b and c.

Considering these side lengths, the triangles are classified as follows:

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Based on proportions, the numbers of students in the senior form and junior form are 615 and 885, respectively.

Proportion refers to the equation of two ratios.

Proportion is a fractional value depicted using ratios, percentages, fractions, and decimals.

The percentage of senior form students in the school = 41%

The percentage of junior form students = 59% (100% - 41%)

The additional percentage of junior over senior students = 18% (59% - 41%)

The additional number of junior form students over the seniors = 270

Proportionately, if 18% = 270, the total number of students (both junior and senior) = 1,500.

Therefore, the number of senior and junior students is as follows:

Check:

The difference in the numbers = 270 (885 - 615)

Thus, using proportions, we can state that there are 1,500 students in the school, consisting of 615 seniors and 885 juniors.

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