Which is the correct definition of perpendicular lines?

A. A part of a line that is bounded by two distinct endpoints.

B. A set of points that extends infinitely in two directions.

C. Two lines that intersect at a right angle.

D. Two lines that never cross.

(Note: the selected answer is the image is not guaranteed to be correct)

Answer:

5/12 is greater

Answer:

5/12 is greater than 1/12

Step-by-step explanation:

when you compare 2 fractions with the same denominator, greater is the one with bigger numerator so 5/12  

The Probability of landing red during Elijah's turn is 0.20  

The probability of an event can be found by dividing the number of ways an event can occur by the total number of possible outcomes.

It is a measure of the likelihood that a specific event will occur, expressed as a number between 0 and 1.

Here we have

The spinner results are: red, yellow, blue, yellow, green, yellow, red, blue, green, red, yellow, blue, yellow, green

Total number of outcomes = 14

Number of outcomes getting red outcomes = 3

Hence,

the Probability of landing red during Elijah's turn

= 3/14 = 0.20

Therefore,

The Probability of landing red during Elijah's turn is 0.20

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Answer:

I think the answer is D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1/20=0.05

12*0.05=3/5

Answer:

yes

Step-by-step explanation:

They are correct because the reciprocal ( flipped or opposite) of -2/5 is 5/-2

Answer:

<2 =67

Step-by-step explanation:

A linear pair adds to 180 degrees

<1 + <2 =180

113+ <2 = 180

<2 = 180-113

<2 =67

Answer:

Bx=8

Step-by-step explanation:

U always have to remember to put a “x” or “y” next to your letter it’s important.

Answer:

Area: 9 square feet

Step-by-step explanation:

1) Plug into the formula

\(A = \frac{height * base}{2}\)

\(A = \frac{6 * 3}{2}\)

A = 9

Three different ways are cos (2θ) = cos²θ - sin²θ, 2cos²θ - 1 = cos (2θ) and cos (2θ) = 1 - 2sin²θ.

The double-angle formula for cosine can be expressed in three different ways:

cos (2θ) = cos²θ - sin²θ

2cos²θ - 1 = cos (2θ)

cos (2θ) = 1 - 2sin²θ

These formulas allow us to find the cosine of twice a given angle θ in terms of the sine and cosine of the original angle θ. These formulas are useful in solving trigonometry problems and proving other trigonometric identities.

Therefore, three different ways are cos (2θ) = cos²θ - sin²θ, 2cos²θ - 1 = cos (2θ) and cos (2θ) = 1 - 2sin²θ.

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Answer:

The answer is below

Step-by-step explanation:

Let x represent the amount of iron, y represent the amount of potassium and z represent the amount of mulch.

Since the supplement weighs 16 lb, hence:

x + y + z = 16          (1)

Also supplement contains thirteen times as much mulch as iron. Therefore:

x = 13z

x - 13z = 0     (2)

The supplement also has twice as much potassium as iron, hence:

x = 2y

x - 2y = 0          (3)

solving equations 1, 2 and 3 simultaneously gives:

x = 10.1 lb, y = 5.1 lb, z = 0.8 lb

This means that the soil supplement contains 0.8 lb of mulch

Answer:

x = 1

Step-by-step explanation:

the vertical line is passing through only the x-axis and not the y axis. So the graph is a x = ? All you e have to to is to look for the x coordinate of the point the vertical line is passing through which is 1 and so the answer is x = 1.

Please mark brainliest. Thanks!!!!

x=1 represents the vertical line passing through (1,-9) .

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane.

In a vertical line x-coordinate remain constant, only y-coordinate changes.

The vertical lines are parallel to the y-axis and are perpendicular to the horizontal lines. On a vertical line, all the points on the line have the same x-coordinate.

Here x=1 is the only vertical line which passes through (1,-9) So option B is correct.

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Answer:

9ty(3t - 2y)

Step-by-step explanation:

27t²y - 18ty² ← factor out 9ty from each term

= 9ty(3t - 2y)

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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We already know that Jackson biked k kilometers.

Maria biked 8 more kilometers than Jackson, which means that she biked

Peter biked 2 fewer kilometers than Jackson, which means that he biked

To get the total all of them biked, we add those expressions together.

Answer:

100 cubic in

Explanation

step 1: divide the figure into two

step 2 : find area then multiply by height of the cuboid

step 3 : add both

Answer:

The answer is 100.

Step-by-step explanation:

Volume = weight times height times length = 5 times 1 times 8 = 40

Volume = weight times height times length = 5 times 2 times 6 = 60

So now that we have the volume of each rectangular prism, we must add them together to get the full volume.

60 + 40 = 100

Answer:

radius = 10 in

diameter = 20 in

circumference =>

formula : 2.π.r

C = 2×3.14×10= 62.8 sq. in

Answer:

radius = 10 in

diameter = 20 in

circumference =>

formula : 2.π.r

C = 2×3.14×10= 62.8 sq. in

Step-by-step explanation:

Yes, it would be possible to use 14C age dating to estimate the age of a dinosaur bone.

Explanation:14C dating is a method used to determine the age of once-living organisms based on the radioactive decay of carbon-14 in their tissues. However, 14C dating is only effective for samples that are less than 50,000 years old. Therefore, it is not possible to use 14C dating to directly date dinosaur bones as they are much older than 50,000 years, and all the carbon-14 would have already decayed.

However, indirect dating methods such as radiometric dating can be used to estimate the age of the rocks in which the dinosaur bones were found. This method is based on the radioactive decay of isotopes in the rocks and can be used to determine the age of the rocks to within a few million years. By association, the age of the dinosaur bones can also be estimated, providing an indirect method of dating them. Therefore, while 14C dating is not useful for directly dating dinosaur bones, it can be used indirectly to estimate their age.

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Answer:

it should be <...........

Answer:

its < some fractions can be bigger than other fractions but whole numbers like 1. 2. 3. and .4 are always bigger t but in this than fractions but in this case the fraction and the right is the biggest so b

Step-by-step explanation:

The ratio of 12 over 19 represents C) 12 students prefer free time at the beginning of class, and 19 students prefer free time at the end of class.

The ratio is the portion or proportion of the whole value, quantity, or amount.

The ratio is computed as the quotient of the portion and the whole quantity.

Ratios are depicted as fractions, decimals, percentages, or in standard form (:).

The ratio of students who prefer free time at the beginning of class to students who prefer free time at the end of class = 12 over 19.

The sum of ratios = 31 (12 + 19)

The fraction of students who prefer free time at the beginning = ¹²/₃₁

The fraction of students who prefer free time at the end of class = ¹⁹/₃₁

Thus, the correct option about the ratio is Option C.

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Expected rate of return = 94.3%

Inflation rate is the rate of increase of prices of goods with the time being. It is also called devaluation of money. Risk free rate of return is an investment where possibility of risk is zero.

given, real risk-free rate = 2.5% = 0.025

the future rate of inflation = 2.8% = 0.028

nominal risk-free rate = (1 + real risk-free rate) / (1 + inflation rate)

nominal risk-free rate = (1+ 0.025) / (1 + 0.028) = 0.9971

now, rate of return = [(1 + nominal risk-free rate) / (1 + inflation rate)] - 1

 rate of return expected = [(1 + 0.9971) / (1 + 0.028)] - 1

                                      = 0.943

expected rate of return = 94.3 %

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Answer:

3/6 ⇒ 9/12⇒ 15/18

Step-by-step explanation:

To put the following lists 3/6,9/12, 15/18 in order from least to greatest we can turn the fraction into decimal..

3/6 = 0.5

15/18 = 0.83333333333

9/12= 0.75

Hence from least to greatest:

0.5,0.75, 0.83333333333

Also know as:

3/6,9/12,15/18

~lenvy~

Answer:

Order 3/6, 9/12, and 15/18 from least to greatest.

First, we must simplify these fractions as much as possible then find a possible common denominator.

3/6 simplifies to 1/2

9/12 simplifies to 3/4

15/18 simplifies to 5/6

Now we have fractions of 1/2(3/6), 3/4(9/12), and 5/6(15/18).

If we look at these fractions, we can see that they have a common denominator of 12. So let's convert these fractions into having a denominator of 12;

1/2 x 6/6 = 6/12

3/4 x 3/3 = 9/12

5/6 x 2/2 = 10/12.

So now we have the fractions 6/12(3/6), 9/12(9/12), and 10/12(5/6).

These are already ordered from least to greatest.

So therefore, this'll be ordered;

3/6, 9/12, and 15/18.

The differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

from the question, we have the following parameters that can be used in our computation:

f(x) = 2x³ + 6x - 1/x + 3eˣ - sin(x)

The derivative of the functions can be calculated using the first principle which states that

if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹

Using the above as a guide, we have the following:

f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

Hence, the differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

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Answer:

10/10     10.0

Step-by-step explanation:

Answer:

Are we supposed to take a picture after we do this, or what??

Or a video maybe??

Answer:

a) t²- 4x + 4

b) 9y² - 4z

c) 10290v

Step-by-step explanation:

a+b) use identity (ax+b)(ax+c) = ax² + (b+c)x + bc

c) a × bx = abx

Answer:

\(x\leq -2\)

Step-by-step explanation:

Solve for x:

\(-4x+20\geq 28\)

Subtract 20 on both sides

\(-4x\geq 8\)

Flip the sign and multiply both sides by -4

\(16x\leq -32\)

Divide by 16

\(x\leq -2\)

Answer:

6 units

Step-by-step explanation:

distance between (-2,-2) and (4,-2)

distance formula,

√(x2-x1)²+(y2-y1)²

x2=4

x1=-2

y1=-2

y2=-2

putting the values,

√(4+2)²+(-2+2)²

√6²+0²

6 units

The probability that a flight takes more than 140 minutes is approximately 0.333. (Option d: P(x > 140) = 0.333)

To find the probability that a flight takes more than 140 minutes, we need to calculate the proportion of the total distribution that lies beyond 140 minutes.

Given that the time to fly is uniformly distributed between 120 and 150 minutes, we can determine the length of the entire distribution as:

Length of distribution = maximum time - minimum time = 150 - 120 = 30 minutes.

The proportion of the distribution that lies beyond 140 minutes can be calculated as:

Proportion = (Length of distribution - Length up to 140 minutes) / Length of distribution

          = (30 - (140 - 120)) / 30

          = (30 - 20) / 30

          = 10 / 30

          = 1/3

          ≈ 0.333

Therefore, the probability that a flight takes more than 140 minutes is approximately 0.333.

Hence, the correct option is:

d) P(x > 140) = 0.333

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Complete Question:

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes.

What is the probability that a flight takes time more than 140 minutes? *

a-P(x> 140)=0.14

b-P(x> 140)=1.4

c-P(x> 140)=0

d-P(x> 140) = 0.333

The length of the side r is given as follows:

r = 5.9

The theorem is expressed as follows:

c² = a² + b².

In which c is the length of the hypotenuse.

a and b are the lengths of the other two sides (the legs) of the right-angled triangle.

By the Triangle Theorem, the two sides have the same length, hence:

q = 6 yd

6/sin 43 = x

x = 5.9

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The probability that the daily production is less than 35.2 liters is 0.6664.

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33 liters and standard deviation of 5.6 liters.

To find the probability that the daily production is less than 35.2 liters, we need to find the z-score first. Then we can use the z-table to find the probability.

z-score:

z = (x - μ) / σ

Where,x = 35.2 μ = 33 σ = 5.6z = (35.2 - 33) / 5.6 = 0.43

Now, we need to find the area under the standard normal distribution curve to the left of the z-score of 0.43

.Using the z-table or standard normal distribution table, we can find this probability as:

P(Z < 0.43) = 0.6664

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