4/5 x 2/35 I need help pls!

The circle and the lines AC & AB are illustrations of congruent angles

See below for the proof that the angles ∠ACB and ∠MAB are equal

To prove that ∠MAB=∠ACB, we make use of the attached diagram

From the attached diagram, we have:

∠MAB = x°

The angle at between a tangent and a radius or a diameter is a right angle.

This means that:

∠MAB + ∠BAC = 90°

Substitute ∠MAB = x°

x° + ∠BAC = 90°

Subtract x from both sides

∠BAC = 90° - x°

The angle at in a semicircle is a right angle.

This means that:

∠CBA = 90°

The angles in a triangle add up to 180°.

So, we have:

∠BAC + ∠CBA + ∠ACB = 180°

Substitute ∠CBA = 90° and ∠BAC = 90° - x°

90° - x° + 90° + ∠ACB = 180°

Evaluate the like terms

180° - x° + ∠ACB = 180°

Subtract 180° from both sides

- x° + ∠ACB = 0

Add x° to both sides

∠ACB = x°

Recall that:

∠MAB = x°

So, we have:

∠ACB = ∠MAB = x°

Hence, the angles ∠ACB and ∠MAB are equal

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Answer: See explanation

Step-by-step explanation:

From the question, we are informed that On​ Monday, a museum had 350 visitors while on Tuesday, it had 680 visitors. The percent change in the number of visitors to the museum will then be:

= (680 - 350)/350 × 100

= 330/350 × 100

= 94.29%

The number of people that'll have to visit on Wednesday to have the same estimated percent change will be:

= 680 + (94.29% × 680)

= 680 + (0.9429 × 680)

= 680 + 641

= 1321

By using two points ont he given graph, we can see that the rate of change is -60 miles per hour

For any line that passes through two points (x₁, y₁) and (x₂, y₂) the rate of change is given by:

r = (y₂ - y₁)/(x₂ - x₁)

Here using the graph we can identify two points, these are:

(0, 120) and (2, 0)

Where the first value is time and the second is distance, then the rate of change will be:

R = (0 - 120)/(2 - 0) = -60

Adding the units, it would be -60 miles per hour.

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The given line y = -2x + 3 will cross the y-axis at (0, 3).

A coordinate plane is a two-dimensional plane that consists x-axis and a y-axis. These are perpendicular to each other and will be intersected at the point called the origin.  

The coordinates of the point that lies on the y-axis are (0, y), Similarly, the coordinates of the point that lies on the x-axis are (0, x).    

Here we have

The equation of the line is y = -2x + 3  

To find the required point take x = 0

=> y = -2(0) + 3

=> y = 0 + 3

=> y = 3

Therefore,

The given line y = -2x + 3 will cross the y-axis at (0, 3).

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Answer:

8.33

Step-by-step explanation:

1hr=60 minutes

?hr = 500 minutes

To find how many hours, divide 500 by 60

500/60 = 8.33

500 minutes = 8.33 hours

We can fill in the boxes to make each equation complete as follows:

1. x³x⁹ = x¹²

2. x⁷/x³ = x⁴

3. 1/x⁻⁵ = x⁵

4. (7b³c⁵)³ = 343b⁹c¹⁵

To solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.

1. x³x⁹ = x³ ⁺ ⁹ = x¹²

For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.

2. x⁷/x³ = x⁷ ⁻ ³ = x⁴

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A structural break occurs when we see A. an unexpected shift in time-series data.

It is the change in a time series's data-generating mechanism, it is a phenomenon that occurs when a significant event or structural shift in the economy alters the underlying data-generating mechanism. A structural break can happen for several reasons, including natural catastrophes, changes in economic policy, new inventions, and other reasons that alter the way the data is generated.

In the presence of a structural break, we can't assume that the relationships between variables before and after the break are the same. The primary objective of identifying structural breaks in the time-series is to detect changes in the behavior of the series over time, such as changes in the variance of the series, changes in the mean of the series, and changes in the covariance of the series. So therefore the correct answer is A. an unexpected shift in time-series data, the structural break occurs.

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Answer: as per question statement

we need to set up an equation first

p(t)=1200e(0.052*t)

they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present

we need to find population at t=6

we need to plug t=6 in p(t).

P(6)=1200e(0.052*6)=1639.38

1638.38 bacteria were present at that time t=6

Step-by-step explanation: I hope this helps.

Answer:

Step-by-step explanation:

#1 is correct

#2 is correct

#3 is correct

#4 is correct

#5  is correct

#6 is 29.6

Answer:

26

Step-by-step explanation:

2 plus 24 is 26

To count the number of different 6-letter strings that can be formed using the letters c, i, r, c, l, and e, we can use the permutation formula. There are 6 choices for the first letter, 5 choices for the second letter (since we can't use the same letter twice), and so on, giving us:

6 x 5 x 4 x 3 x 2 x 1 = 720

However, not all of these strings meet the condition that the two occurrences of the letter c are separated by at least one other letter. To count the number of strings that do meet this condition, we can use the complementary counting method.

First, let's count the number of strings in which the two c's are adjacent. There are 5 positions where the two c's could be (the first two, second and third, third and fourth, fourth and fifth, or last two positions), and once we place the c's, we have 4 letters left to fill in the remaining 4 positions. This gives us:

5 x 4 x 3 x 2 x 1 = 120

Now, let's count the total number of 6-letter strings that have at least one pair of adjacents c's. We can use the same method as above, but this time we can place the two c's anywhere in the string, giving us:

6 x 5 x 4 x 3 x 2 x 1 - 5 x 4 x 3 x 2 x 1 = 720 - 120 = 600

Finally, we can subtract this from the total number of 6-letter strings to get the number of strings in which the two c's are separated by at least one other letter:

720 - 600 = 120

Therefore, there are 120 different 6-letter strings that can be formed using the letters c, i, r, c, l, and e in which the two occurrences of the letter c are separated by at least one other letter.

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Answer:

The simplified expression of (4-5r+8s)(5r-9) is

40r s-25r^2-72s+65r-36

(hope this helped)

The simplified expression of (4-5r+8s)(5r-9) is \(65r - 25r^2 + 9r + 40rs - 72s.\)

The simplified expression of (4-5r+8s)(5r-9) step by step.

Understanding how to simplify expressions can be incredibly useful in algebra and will make solving equations much easier. By using the distributive property, we can multiply the terms inside the parentheses and then combine like terms to get the simplified expression.

To simplify the expression (4-5r+8s)(5r-9), we'll use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). This property allows us to multiply each term in the first parentheses by each term in the second parentheses.

1. First, we multiply the term "4" in the first parentheses by each term in the second parentheses:

4 * 5r = 20r

4 * (-9) = -36

2. Next, we move to the second term in the first parentheses, "-5r," and multiply it by each term in the second parentheses:

-5r * 5r = -25r²

-5r * (-9) = 45r

3. Lastly, we move to the third term in the first parentheses, "8s," and multiply it by each term in the second parentheses:

8s * 5r = 40rs

8s * (-9) = -72s

Now, we have all the resulting terms:

20r - 36 - 25r² + 45r + 40rs - 72s.

To simplify further, we combine like terms. Like terms have the same variable(s) raised to the same power:

20r + 45r = 65r

-36 + 45r = 9r

So, the simplified expression is:

65r - 25r² + 9r + 40rs - 72s.

In mathematical terms, we applied the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Then, we combined like terms to obtain the final simplified expression, 65r - 25r² + 9r + 40rs - 72s.

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Answer:

11.5 or 11 1/2

Step-by-step explanation:

Given:

Three coins are tossed.

To find:

The probability that you will get “heads” no more than once out of 3 flips.

Solution:

If three coins are tossed then the sample space is:

\(S=\{HHH,HTH,HHT,HTT,THH,TTH,THT,TTT\}\)

Total possible outcomes = 8

Number of 0 successes means 0 heads in 3 flips, i.e., TTT.

Number of 1 successes means exactly 1 heads in 3 flips, i.e., HTT, THT, TTH.

Now,

\(P(0\text{ success})=\dfrac{1}{8}\)

\(P(1\text{ success})=\dfrac{3}{8}\)

And, their sum is:

\(P(0\text{ success})+P(1\text{ success})=\dfrac{1}{8}+\dfrac{3}{8}\)

\(P(0\text{ success})+P(1\text{ success})=\dfrac{4}{8}\)

\(P(0\text{ success})+P(1\text{ success})=\dfrac{1}{2}\)

Therefore, the probability that you will get “heads” no more than once out of 3 flips is \(\dfrac{1}{2}\).

The first error in the proof is the fourth reason

Mathematical proofs are statements or collections of statements that are used to prove or disprove a statement, proof or theory

To determine the first error in the proof, we simply read through the statements and the given reason

From the table in the question, we have the following conclusions

Hence, the first error in the proof is the fourth reason

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The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)

Let x be the height of the Monument. Then we have:

x / 285 = 5 / 2.5

Cross-multiplying, we get:

2.5x = 5 * 285

Simplifying, we get:

x = 570

Therefore, the Monument is 570 feet tall.

To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

Set up a proportion using the height and shadow length of the tourist and the monument:

(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)

Let x represent the height of the monument. Then:

x / 285 = 5 / 2.5

Now, solve for x:

x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet

The height of the monument is 570 feet.

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The quarterly payment will be $1,127.86

Compound interest is the interest on a loan or deposit that  levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

\(A=\dfrac{P\timesr}{(1-(1+r)^{-n}}\)

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

\(A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}\)  

\(A=$1127.86\)

Hence the quarterly payment amount is $1,127.86.

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Answer:

200

Step-by-step explanation:

6.6 divided by 3.3 is 2

10^-2 divided by 10^-4 is 10^2 or 100

2 times 100 is 200

Answer:

I think it would be 5.49 as the height of the prism.

Step-by-step explanation:

I just did 7 × 5 which is 35, and then I did 192 ÷ 35 and got 5.49. I'm not completely sure but that's my best answer I hope it helps!

Answer: 121°

Step-by-step explanation:

The measure of angle B will be \(121^0\) .

Angle is formed by two rays lie in the plane that contains the rays.

We have,

\(m \angle A =(6x-19)^0\)

Now,

Linear pair angles are those angles whose sum is \(180^0\) .

i.e.

\(m \angle A + m \angle B=180^0\)

So,

\((6x-19)^0 +(11x-22)^0 =180^0\)

Now,

\(17x-41=180\)

\(17x=221\)

\(x=13\)

So,

\(m\angle B=(11x-22)^0\)

Putting value of x;

\(m\angle B=(11*13-22)^0\)

\(m\angle B=(121)^0\)

So, measure of angle B is \(121^0\).

Hence, we can say that the measure of angle B will be \(121^0\) .

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Answer:

It's mainly about the circle of life

Step-by-step explanation:

Answer:

A

Step-by-step explanation: i just took the test and made a 100

The coordinate C” after the transformations is C'' = (3, -1)

The coordinate points are given as:

U(3, 8), C(5, -4), and F(1, 0).

Also, we have the transformations to be

(x, y) = (x – 4, y + 7) followed by (x, y) (y, - x)

Recall that

C = (5, -4)

When the first transformation is applied, we have:

(x, y) = (x – 4, y + 7)

C' = (1, 3)

When the second transformation is applied, we have:

(x, y) = (y, -x)

C'' = (3, -1)

Hence, the image is (3, -1)

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The method applied for determining the density of a solid (regular and irregular) and a liquid is based on the concept of mass and volume.

For solids (regular and irregular):

Determining the mass: The mass of the solid can be measured using a balance or scale. The unit of mass is typically grams (g) or kilograms (kg).

Determining the volume:

Regular solids: The volume of regular solids, such as cubes or rectangular prisms, can be calculated using their geometric formulas. For example, the volume of a cube is calculated by cubing the length of one of its sides: Volume = side length^3.

Irregular solids: The volume of irregular solids can be determined using various methods such as water displacement. The solid is immersed in a known volume of liquid (e.g., water), and the increase in the volume of the liquid is measured. This increase represents the volume of the solid.

Calculating the density: The density of a solid is calculated by dividing its mass by its volume. The unit of density is typically grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3).

For liquids:

Determining the mass: Similar to solids, the mass of the liquid can be measured using a balance or scale.

Determining the volume: The volume of a liquid can be measured directly using a graduated cylinder or other volumetric measuring devices. The unit of volume is typically milliliters (mL) or liters (L).

Calculating the density: The density of a liquid is calculated by dividing its mass by its volume. The unit of density is typically grams per milliliter (g/mL) or kilograms per liter (kg/L).

The method for determining the density of a solid (regular and irregular) involves measuring the mass and volume of the solid and calculating the density by dividing the mass by the volume. For liquids, the density is determined similarly by measuring the mass and volume.

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Answer:

20

Step-by-step explanation:

Number of paperback books = 4

Percentage of total books that were paperbacks = 20%

Let total number of books = x

Hence,

20% of total books = paperback books

20% of x = 4

0.2 * x = 4

0.2x = 4

0.2x / 0.2 = 4 / 0.2

x = 20

Total number of books = 20

Answer:

82/7

Step-by-step explanation:

To add these numbers you need to change them to have the same denominator.

7=49/7

4 5/7=(28+5)/7=33/7

49/7+33/7=(49+33)/7=82/7

Answer:11 5/7

Step-by-step explanation:

The number is 12.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

let number be x.

3x-24 = x

3x-x = 24

2x=24

x = 12

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The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer:

the answer is 1/4

Step-by-step explanation:

so technically this is not that of a easy math question and to show you how it is because the answer is already in the question its saying that the CDE triangle is 1/4 of the ABC triangle so 1/4 and a decimal is 1 divided by 4 = .25 and .25 as a percent is 25% since the total height of the ABC tri is 36 you do 25 percent of 36 and if you know yo time tables you would see that 4x9=36 so 1/4 or 25% of 26 is 9 so thats the height of Tri. CDE and that concludes that since there are 4 of 25 in 100 then the situation 1/4 would mean the ABC triangle has 4 parts and Tri CDE is only 1 out of the 4/whole part.