Complete the sentences to compare the x- and y-intercepts for each function.
f(x) = -1/2 x + 10
g(x) = -4x - 12
The y-intercept of function fis
The x-intercept of function fis
but the y-intercept of function g is
but the x-intercept of function g is

Answer:

The answer to your question would be 4 7/12

Step-by-step explanation:

I hope this helps and have a wonderful day!

a) Slope intercept form

We see in the graph that the y-intercept is y=4, so b=4.

Then, using another known point like (3,0) we can calculate the slope:

Then, the equation becomes:

b) Point slope form

We will use the known slope m=-4/3 and one of the points (3,0):

c) Perpendicular line that pases through the point (5,-4):

In order to be perpendicular, the line slopes has to be opposite reciprocals:

Then, the perpendicular line has a slope of 3/4.

To make it go through the point (5,-4), we replace this values in the equation and calculate the y-intercept b:

The equation of the perpendicular line that goes through (5,-4) is:

d) Parallel line that goes through (0,3).

Parallel lines have the same slope.

In this case, the slope is -4/3.

If we replace the values of x and y with the point (0,3) we get thte y-intercept b:

We could have already now that the intercept was 3 because this is the value when x=0.

The equation of the line is:

Trigonometry can be used to solve questions related to a circle with a triangle inside. Trigonometric functions such as sine, cosine, and tangent can help us find missing side lengths, angles.

To solve such a question, you would typically start by identifying the given information about the triangle and circle. This may include side lengths, angles, and the radius of the circle. Then, you can apply trigonometric ratios and formulas to find the unknown quantities.

For example, if you have the length of one side of the triangle and the measure of an angle, you can use the sine or cosine ratio to find the length of another side. If you have two side lengths, you can use the cosine rule or the sine rule to find the measure of an angle.

By applying trigonometry within the context of a circle and its inscribed triangle, you can solve a variety of geometric problems and determine the relationships between the circle and the triangle's properties.

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Answer:

3

Step-by-step explanation:

1/3 x (9/1) = 3

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

18 is the original number.

Step-by-step explanation:

Let the number be x.

A/Q:-

3 (x-14)= 2/3x

Multiplying by 3 we get

9(x-14)=2x

9x-126=2x

9x-2x=126

7x=126

x =126/7

x=18

Answer:

Let the no. be x

3 (x-14) =

Answer:

4a + 25.2.

Step-by-step explanation:

2/3(6a+9)+19.2

= 2/3 * 6a + 2/3 * 9 + 19.2

= 4a + 6 + 19.2

= 4a + 25.2.

The given function has continuous second-order partial derivatives, it means that all its first-order partial derivatives must be continuous on the domain of the function.

The given expression represents the partial derivatives of a given function. This statement is incomplete as it does not provide the partial derivatives with respect to which variable. Hence, we cannot say whether the statement is true or false. However, we can discuss the existence of a function with continuous second-order partial derivatives.There exists a function with continuous second-order partial derivatives if and only if its partial derivatives of first-order are continuous on the domain of the function. Let the function be f(x,y), where x, y ∈ ℝ. Thus, the function has the following partial derivatives:fₓ(x,y) and fₓₓ(x,y) along the x-axis.fy(x,y) and fyy(x,y) along the y-axis.fxy(x,y) and fyₓ(x,y) with respect to both variables.Since the given function has continuous second-order partial derivatives, it means that all its first-order partial derivatives must be continuous on the domain of the function.The given function is (x,y) = 1 + 2. T-order partial derivatives must be continuous on the domain of the function. Hence, the answer is that the statement is incomplete.

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D = M/12 + N/4 represents the relationship between Elena's distance in miles, D, and her biking speed.

Speed = distance/ time

Here, we are given that Elena bikes 20 minutes each day for exercise. She bikes at a constant speed of M miles per hour for the first 5 minutes, then at N miles per hour for the last 15 minutes.

Therefore, distance covered by her in the first 5 minutes = speed x time

time = 5 minutes = 5/60 hours

= 1/12 hours

Thus, distance = M(1/12)

= M/12

Now, similarly, distance covered by her in the last 15 minutes = N(15/60)

=N/4

Thus, the total distance in miles, D, covered by her in the last 15 minutes = N(15/60)

= N/4

Thus, the total distance in miles, D, covered by her is D = M/12 + N/4

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Answer:

The temperature is -20 degrees.

Step-by-step explanation:

-10 + 30 = 20

20 - 40 = -20

Hope this helps!

Answer:

1) Are dividing the group rate cost.

2) Multiplication.

3) Action is being performed on the variable.

4) n/4 or n [divided sign] 4

Step-by-step explanation:

Atleast this book tells you. but most times its a multi questioning test like online.

a. If the null hypothesis is rejected, the alternative hypothesis is accepted, and the outcomes are statistically significant.

b. When the null hypothesis is not rejected, the alternate hypothesis is not accepted, and it does not imply that the null hypothesis is true; instead, it means that the available evidence is insufficient to establish a statistically significant difference between the data and the null hypothesis.

The claim, "The mean incubation period for the eggs of a species of bird is at least 31 days" represents the alternative hypothesis.

How to interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis?

If the null hypothesis is rejected, the alternative hypothesis is accepted, and the outcomes are statistically significant.

When the null hypothesis is not rejected, the alternate hypothesis is not accepted, and it does not imply that the null hypothesis is true; instead, it means that the available evidence is insufficient to establish a statistically significant difference between the data and the null hypothesis.

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Answer:

I think the answer is Africa, I dunno.

Step-by-step explanation:

Answer:

sin(30)=cos(60)

Step-by-step explanation:

sin(30°)=½ in degrees(not radians)

and cos(60°)=½ in degrees

Answer:

A = kr²

Step-by-step explanation:

Given A is directly proportional to r² then the equation relating them is

A = kr² ← k is the constant of variation

Answer:

2. metaphor

3. hyperbole

4. personification

5. simile

Answer:

Is this all of the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

Using the radians we know that the length of the arc in terms of π is s = 1.53 * π * 12 ft or s = 57.60 ft.

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, the central angle of degrees must first be converted to radians.

θ(rad) = 275/180 * π = 1.53 rad

Then, by multiplying the Central angle (in rad units) by the circle radius r, the arc length may be determined:

s = θ * r

Changing the θ and r values:

s = 1.53 * π * 12 ft

s = 57.60 ft

Therefore, using the radians we know that the length of the arc in terms of π is s = 1.53 * π * 12 ft or s = 57.60 ft.

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Correct question:

Find the length of the arc, s, on a circle of radius r intercepted by a central angle θ. Express arc length in terms of π. Then round your answer to two decimal places.

Radius, r = 12 feet; Central angle, θ = 275

The conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days.

What is confidence interval ?

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence.

To determine if the conditions for inference with a confidence interval have been met, we need to check the following assumptions:

Since the sample sizes are greater than 30 for both men and women, we can assume normality based on the Central Limit Theorem.

Also, since the samples are selected independently and randomly, the assumption of independence is met.

Therefore, the conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital.

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Answer:66.4

Step-by-step explanation:

The inverse function \(f^{-1}\)(8) = 3/2

A function that "undoes" another function is known as an inverse in mathematics. In other words, if f(x) produces y, then introducing y into the inverse of f produces x. An invertible function has an inverse, which is represented by the symbol.\(f^{-1}\)

The function given is

f(x) = 2x + 5

We have to find the inverse

Let us consider f(x) as y

y = 2x + 5

Now by replacing x to y and y to x

x = 2y + 5

By solving for y and replacing f-1(x)

2y = x - 5

y = (x - 5)/2

\(f^{-1}\)(x) = (x - 5)/2

We have to find \(f^{-1}\)(8)

\(f^{-1}\)(8) = (8 - 5)/2 = 3/2

So

The inverse function \(f^{-1}\)(8) = 3/2

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Answer:

1200

Step-by-step explanation:

15/18 * 1000/x

x = 1200

Answer:

1200 minute / 20 hour

Step-by-step explanation:

\(1000 \times 18 = 18000\)

\(18000 \div 15 = 1200\)

Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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Answer:

257 1/7%

Step-by-step explanation:

\( \frac{18}{7} = 2.57142857\)

2.57142857 = 257 1/7 %

Answer: Making 24 payments of $95.

Step-by-step explanation:

This problem is really just simple multiplication. (and maybe a bit of subtraction)

First, you multiply 24 by $95, which would give you $2,280.

Then, multiply 30 by $80, which would give you $2,400.

This would give you the answer to your first question.

Finally, subtract $2,400 from $2,280 to get $120, which is your answer to the second question.

Hope I helped. :)

Answer

Check Explanation

Explanation

The volume of cone is given as

Volume of a cone = ⅓ (πr²h)

where

r = radius of the cone

h = height of the cone

also note that radius of a cone = ½ (Diameter of the cone)

1) Dylan's cone

Radius = 4.5 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 4.5² × 6)

= ⅓ (381.7035)

= 127.23 in³

2) Shane's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 4.5 inches

Radius = ½ (4.5) = 2.25 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 2.25² × 6)

= ⅓ (95.426)

= 31.81 in³

3) Jake's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 6 inches

Radius = ½ (6) = 3 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 3² × 4.5)

= ⅓ (127.2345)

= 42.41 in³

4) Grace's cone

Radius = 6 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 6² × 4.5)

= ⅓ (508.938)

= 169.65 in³

Hope this Helps!!!

The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

1/8

The probability of getting a head or a tail when flipping a coin is 1/2.  

Therefore, the probability of getting two heads when tossing two coins is 1/2 x 1/2 = 1/4.

The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

Since each person is tossing three coins, the probability that they both obtain the same number of heads is 1/8.

The probability of getting n heads when tossing n coins is 1/2^n. Therefore, the probability of getting the same number of heads when two people toss n coins is 1/2^n. This means that if two people each toss a coin, the probability that they both get heads is 1/4; if they each toss two coins, the probability that they both get two heads is 1/16; if they each toss three coins, the probability that they both get three heads is 1/64; and so on.

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When performing a hypothesis test on the population mean (μ) when the population standard deviation (σ) is known, the null hypothesis (H0) can never be rejected if the sample mean falls within the acceptance range determined by the chosen significance level and the critical values.

In hypothesis testing for the population mean when the population standard deviation is known, the null hypothesis (H0) represents the claim or assumption that the population mean is equal to a specific value. The alternative hypothesis (Ha) states that the population mean is not equal to the specific value.

To determine whether to reject or fail to reject the null hypothesis, we compare the sample mean to the expected value under the null hypothesis. If the sample mean falls within the acceptance range determined by the chosen significance level and the critical values, we do not have sufficient evidence to reject the null hypothesis. The acceptance range is defined by the margin of error around the expected value, and it indicates the range of values that can be considered reasonably close to the expected value.

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