What is the equation of the line that passes through the point (-3,4) and has an undefined slope?

Answers

Answer 1

Answer:

Answer: x = -3

Step-by-step explanation: If a line has an undefined slope, it means that the line is vertical. A vertical line is parallel to the y-axis and does not have a slope.

To find the equation of a vertical line, we need to know the x-coordinate of any point on the line. In this case, the point (-3,4) is given.

Since the line is vertical and parallel to the y-axis, the equation of the line will be in the form x = constant, where the constant is the x-coordinate of the given point.

Therefore, the equation of the line that passes through the point (-3,4) and has an undefined slope is x = -3.

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A sequence has an initial value of 10 and each term is twice the previous. Which function models this sequence?1. a(n)=10(2)"n2. a(n)=10(2)n-13. a(n)=10+2n4. a(n)=10+2(n-1)
Computer usage has increased over time. But has the increase been more linear or more exponential? In 1997, 22.2% of the population over three years of age, or about 60 million people, used the internet. In 1998, 32.7% of the population over three years of age, or about 90 million people, used the internet. a. If the usage increased linearly, write the linear function that would give 60 million people in year 0 and 90 million in year 1.
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Consider a set of 7500 scores on a national test whose score is known to be distributed normally with a mean of 510 and a standard deviation of 85. About how many scores greater than 600 would we expect to find?

Answers

$\mathbb P(X>600)=\mathbb P\left((X-510)/(85)>(600-510)/(85)\right)=\mathbb P(Z>1.059)\approx0.145$

So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see $0.145*7500\approx10.86$ scores above 600.

Final answer:

First, calculate the z-score for 600 using the provided mean and standard deviation. The result, approximately 1.059, indicates that it lies roughly one standard deviation above the mean. Approximately 15.87% of scores in a normal distribution are more than 1 standard deviation greater than the mean, so we would expect about 15.87% of 7500, or 1190 scores, to be greater than 600.

Explanation:

The question is asking about a phenomenon in statistics called the normal distribution, which is a type of continuous probability distribution often seen in natural parameters such as heights, weights, or scores, as in this case. To find how many scores are greater than 600, we first need to calculate the z-score, which measures how many standard deviations an element is from the mean.

The z-score formula is Z = (X - μ)/σ, where X is the score, μ is the mean, and σ is the standard deviation. In this case, X = 600, μ = 510, and σ = 85. So, Z = (600 - 510)/85 ≈ 1.059.

For a normal distribution, about 15.87% of the data falls more than 1 standard deviation greater than the mean. So, we would expect about 15.87% of 7500 scores to be greater than 600. That means, approximately 1190 scores would be greater than 600.

Learn more about Z-score and Normal Distribution here:

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What is 2y+3=3 (y+7)

Answers

y=−18 and tell me if you need the step- by-step :)

2y+3=3(y+7)
-Use Distributive Property-
2y+3=3y+3(7)
2y+3=3y+21
-Minus 2y on both sides-
3=3y+21-2y
3=y+21
-Minus 21 on both sides-
y=3-21
y=-18

Solve the problem.If a lawn sprinkler sprays 15 feet in every direction, what is the area of the yard that gets watered?

Answers

The area of yard gets watered is 707.142 ft²

What is area?

The portion between any closed figure, and the extent of region of any plane is area.

Given that sprinkler sprays 15 feet in every direction

so it will form a circle with radius of 15ft

and area of circle is πr²

where r is radius of circle

value of π is 22/7

area = π x (15)²

area = 707.142 ft²

Hence area of sprinkled region is 707.142 ft²

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Hello,

A=πR²=3.141592...*15²=706,8583470...( ft²)
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What are the steps and justifications for copying an angle?

Answers

Answer:

The basic idea behind copying a given angle is to use your compass to sort of measure how wide the angle is open; then you create another angle with the same amount of opening.

Step-by-step explanation: these are the steps

Using a straightedge, draw a reference line, if one is not provided.

Place a dot (starting point) on the reference line.

Place the point of the compass on the vertex of the given angle, ∠ABC (vertex at point B).

Stretch the compass to any length that will stay "on" the angle

There are 6 red marbles, 8 blue marbles, and 11 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble?24%
56%
32%
10%

Answers

6/25 + 8/25 =0.56
0.56 or as a percent 56%SO the answer is B 56%

56%
its the correct answer i know it is

Which expressions are equivalent to the one below? Check all that apply. 9^xa. 9 * 9^(x 1)
b. (36/4)^x
c. 36^x/4
d. 9 * 9 ^(x-1)
e. 36^x/4^x
f. x^5

Answers

In between given 6 exponential expressions, $((36)/(4) )^(x)$ , 9 × $9^(x - 1)$ , and $(36^(x))/(4^(x))$ are equivalent to $9^(x)$

What is an exponential expression?

"An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable."

Given expression is $9^(x)$ .

a. 9 × $9^(x + 1)$ is equal to $9^(x + 2)$ .

b. $((36)/(4) )^(x)$ is equal to $9^(x)$ .

c. $(36^(x))/(4)$ is equal to $9^(x)$ × $4^(x - 1)$ .

d. 9 × $9^(x - 1)$ is equal to $9^(x)$ .

e. $(36^(x))/(4^(x))$ is equal to $9^(x)$ .

f. $x^(5)$ is equal to $x^(5)$ .

Therefore, from the given expressions, $((36)/(4) )^(x)$ , 9 × $9^(x - 1)$ , and $(36^(x))/(4^(x))$ are equivalent to $9^(x)$ .

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$a.\ 9\cdot9^(x+1)=9^(1+x+1)=9^(x+2)\neq9^x\n\nb.\ \left((36)/(4)\right)^x=9^x\ OK\ :)\n\nc.\ (36^x)/(4)\neq9^x\n\nd.\ 9\cdot9^(x-1)=9^(1+x-1)=9^x\ \ OK\ :)\n\ne.\ (36^x)/(4^x)=\left((36)/(4)\right)^x=9^x\ \ \ OK\ :)\n\nf.\ x^5\neq9^x\n\nAnswer:\huge\boxed{b;\ d;\ e}$

$Used:\n\na^n\cdot a^m=a^(n+m)\n\n(a^n)/(b^n)=\left((a)/(b)\right)^n$

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