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Answer:

12 lasts 16

18 lasts x

x=16• 18/12

x= 24

Answer:

slope=-1/5

Step-by-step explanation:

the slope is -1/5 because it falls 1 unit from one point before crossing 5 units and hitting another point.

Answer:

Step-by-step explanation:

Remark

This is an arithmetic series. Each term differs by 6 from the previous one.

Givens

a1 = 21

d = 6

Formula

a_n = a1 + (n - 1)*d

Sample

Try it.

Let's let n = 3 which we have the answer for.

a_3 = 21 + (3-1)*6

a_3 = 21 + 2 * 6

a_3 = 21 + 12

a_3 = 33

That's exactly what the 3rd term is.

When a circle with the equation  (x - 1)² + (y - k)² = 50 travels through the location (2,3), the possible values of k are -4 and 10.

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about the center at every angle. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric about the center at every angle.

given

The equation of a circle is (x - 1)² + (y - k)² = 50

The equation of the circle passes through the point (2, 3) = (x, y).

Now,

(2 - 1)² + (3 - k)² = 50

1 + (3 - k)² = 50

(3 - k)² = 50 - 1

3 - k = √49

3 - k = ±7

Now,

3 - k = 7

3 - 7 = k

k = -4

3 - k = -7

3 + 7 = k

k = 10

When a circle with the equation  (x - 1)² + (y - k)² = 50 travels through the location (2,3), the possible values of k are -4 and 10.

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Answer:

Last option...

Step-by-step explanation:

Answer:

The very last one

Step-by-step explanation:

x cannot have two outcomes

Answer:

0.49

Explanation:

Given the expression:

tan 26°

Evaluating using calculator

tan 26° = 0.4877

Hence the decimal rounded to the nearest hundredth is 0.49

Answer:

0.49 to nearest hundredth

Step-by-step explanation:

tan 26⁰ = 0.48773

Answer:

42

Step-by-step explanation:

138+42=180

and since they are parallel lines 1=2

1 = 42

2 = 42

Answer:

a. 44 cm b. 126 cm

Step-by-step explanation:

a. it is semi circle

perimeter is πd

22/7*14

44 cm

b. it is equilateral triangle

so perimeter is side* 3

42 *3 = 126cm

Answer:

Step-by-step explanation:

(a)

The figure perimeter it is half of a circle with a diameter d₁=14 cm and two halfs of circle with a diameter d₂=14 cm÷2=7 cm.

The length of a circle is  L₀ = πd, where d is the diameter.

Therefore:

\(\bold{L=\frac12d_1+2\cdot\frac12d_2 = \frac12\cdot14\pi+\frac12\cdot2\cdot7\pi=14\pi\,cm\approx44\,cm}\)

(b)

A full circle it is 360°, so the circle sector of 60° is  \(\frac{60^o}{360^o}=\frac16\)  of the circle. So the arc of 60° is ¹/₆ of the full circle length.

The figure is an equilateral triangle and two 60°-sectors of circles with radiuses of length of the triangle's side (r=42 cm).

Its perimetr it's two radiuses, two arcs of 60° and one side of the triangle.

The length of a circle is  L₀ = 2πr, where r is a radius.

Therefore:

\(\bold{L=2r+2\cdot\frac16\cdot 2\pi r+r=3r+\frac23\pi r}\\\\\bold{L=3\cdot42+\frac23\pi\cdot42=(126+28\pi)\,cm\approx214\,cm}\)

Answer:

t/7

Step-by-step explanation:

Since the ratio between the amount of water and the time should be the same, 84/12 = 7.

Hence, the ratio is t/7.

Hope this helped!

After answering the given query, we can state that We know that equation (-12 + 3m) must be negative because cos   0, which means that 3m  12 or m  4. As a result, choice A) m  4 is correct.

The equals sign (=) is used in mathematical equations to denote equality between two assertions. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in mathematics. For instance, the equal sign places a space between the integers in the equation 3x + 5 = 14. The relationship between the two lines on either side of a character can be expressed mathematically. Frequently, the logo and the specific component of software are the same. such as, for example, 2x - 4 = 2.

Between two vectors a and b, the dot product is

A = B given by |a| |b| cos

where  is the angle between the vectors a and b, and |a| and |b| are their relative magnitudes. We are aware that cos   0 because we are aware that the angle between vectors a and b is acute

a · b = (-3)(4) + m(3) = -12 + 3m

The size of the vector an is:

|a| = √((-3)^2 + m^2) = √(9 + m^2)

The strength of the vector b is:

|b| = √(4^2 + 3^2) = 5

We can now determine the cos using the dot product formula:

cos = (a b) / (|a | |b|) = (-12 + 3m) / (5 (9 + m2)

We know that (-12 + 3m) must be negative because cos   0, which means that 3m  12 or m  4.

As a result, choice A) m  4 is correct.

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Answer:

Multiplication and Division of Integers. RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive. RULE 3: The product of two negative integers is positive.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x be the measure of the smaller angle, and y be the measure of the larger angle. Then we know that:

   x + y + 100 = 180, since the sum of the angles in a triangle is 180 degrees.

   y/x = 11/5, since the other two angles are in a ratio of 5:11.

We can use the second equation to solve for y in terms of x:

y/x = 11/5

y = 11x/5

Substituting this into the first equation, we get:

x + (11x/5) + 100 = 180

Multiplying both sides by 5, we get:

5x + 11x + 500 = 900

16x = 400

x = 25

Therefore, the smaller angle measures 25 degrees, and the larger angle measures:

y = 11x/5 = 11(25)/5 = 55

So the two angles are 25 degrees and 55 degrees.

To check this make sure the sum of all the angles is 180.

55+25+100=180

Multiply 9 with 9, and we get:

9 × 9 = 81

Multiply 10 with 10, and we get:

10 × 10 = 100

We get the final result as:

Hope this helps :)

Step-by-step explanation:

find 30% of 455

which is = 136.5

then subtract 136.5 from the original number(455)

455 - 136.5

=318.5 student

Answer:

A.

Step-by-step explanation:

You would subtract 2.45 by 10.00 and the answer would be 7.55 which leaves you with A.

Answer:

B= -3

Step-by-step explanation:

Move the terms that do not contain b to the right then solve. Hope this helps!

Answer:

\(\large \boxed{{b=-3}}\)

Step-by-step explanation:

\(-11b +7=40\)

Subtract 7 from both sides.

\(-11b +7-7=40-7\)

\(-11b=33\)

Divide both sides by -11.

\(\displaystyle \frac{-11b}{-11} =\frac{33}{-11}\)

\(b=-3\)

As per transformation of graph, h(x) = 1/4x² - 11 represents that the graph of f(x) is horizontally compressed by a factor of 4 and shifted down by 11 units.

To know the effect on the graph

Given, the graph is f(x) = x².

We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of (1/a).

Again, at the time of shifting a graph up we need to add a positive number of (b).

Therefore, a = 4 and b = - 11.

Now, if we horizontally compress f(x) it by a factor of (1/4) then it be (1/4)x².

Again,  if we shifted down f(x) by 11 units, then it be (1/4)x² - 11.

Therefore, h(x) = (1/4)x² - 11 represents that the graph of f(x) is horizontally compressed by a factor of 4 and shifted 11 units down.

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The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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There are 6 possible outcomes for this experiment.

The total number of outcomes possible for an experiment of drawing two balls one after the other without replacing the first ball, depends on the number of possible outcomes for the first draw, multiplied by the number of possible outcomes for the second draw, given that the first ball was not replaced.

The total number of ways to choose one ball out of three is 3, and the number of ways to choose the second ball out of two remaining balls is 2. Therefore, the total number of outcomes possible for this experiment is 3 x 2 = 6.

The possible outcomes are:

(Red, Purple), (Red, Blue), (Purple, Red), (Purple, Blue), (Blue, Red) and (Blue, Purple)

It's important to notice that this method is called the Multiplication Rule for counting the total number of outcomes of two or more independent events.

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Answer:

\(height = 4\)

Step-by-step explanation:

By the Pythagorean Theorem, we know:

\(a^2 + b^2 = c^2\)

Where \(c\) is the slope.

Here we see the following:

\(a = 3\\b = ???\\c = 5\)

Plug in the numbers:

\(3^2 + b^2 = 5^2\\9 + b^2 = 25\\b^2 = 16\\b = \sqrt{16}\\ b = 4\)

Going from y = x to y = 3x means we have vertically stretched everything by a factor of 3. For example, the point (4,4) moves to (4,12).

Then we replace x with (x-5) so that we get to y = 3(x-5). This shifts the graph 5 units to the right.

Finally, the -2 at the end shifts everything down 2 units.

---------------

Summary:

We applied these three transformations

Answer:

yes

Step-by-step explanation:

Answer:

(x, y) = (1, -1)

Step-by-step explanation:

For this case we observe first the axis of symmetry of both functions.

We note that the axis is:

x = 1

Then, the point of intersection of both graphs is the following ordered pair:

(x, y) = (1, -1)

Answer:

(x, y) = (1, -1)

Christine swam 0.7 miles more than Jack.

The solution can be simply found out by subtracting the distance swam by Jack by the distance swam by Christine.

Distance swam more by Christine= 4.1 - 3.4

Distance swam more by Christine= 0.7

The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles. One mile can be covered in under one minute. Nonetheless, there are varying speed limits on the roads. You should include in their average speed of 25–60 mph when calculating how long it will take you to reach your destination.

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The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.

To calculate the 95% confidence interval, we use the formula:

CI = x' ± Zα/2 * (σ/√n)

Where:

x' = sample mean

Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)

σ = population standard deviation

n = sample size

Substituting the given values, we get:

CI = 4.1 ± 1.96 * (1.3/√78)

Calculating the standard error (SE) first:

SE = σ/√n

SE = 1.3/√78

SE ≈ 0.147

Then we substitute the SE value in the CI formula:

CI = 4.1 ± 1.96 * 0.147

CI = 4.1 ± 0.288

CI = (3.812, 4.388)

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Answer:

b

Step-by-step explanation:

b

Answer:

Step-by-step explanation: