identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)
Answers
Answer:
y - 9 = 1/2(x + 3)
Step-by-step explanation:
find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2
substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:
=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)
point-slope form:
Related Questions
HELP ME PLEASEEEEEEEEE
Answers
3/4=.75
2/3=.666666
0/25=0
0/25 is 0. 5/10 is 0.5 3/4 is 0.75 2/3 is 0.66666
The ratio of the lengths of 3 squares of different sizes is 2:4:7. If the length of the biggest
square is 10 cm longer than the smallest square, find the perimeter of the smallest square.
Answers
9514 1404 393
Answer:
16
Step-by-step explanation:
The largest square is 7-2 = 5 ratio units larger than the smaller square. Hence, each ratio unit stands for (10 cm)/5 = 2 cm. The side length of the smaller square is 2(2 cm) = 4 cm. The perimeter is 4 times that: 16 cm.
The perimeter of the smallest square is 16 cm.
Someone please help
Answers
Answer:
Step-by-step explanation:
Exponential function representing final amount with compound interest compounded continuously,
[tex]A=Pe^{rt}[/tex]
Here, A = Final amount
P = principal amount
r = Rate of interest
t = Duration of investment
For P = $9600
r = 6%
A = 2 × 9600 = $19200
By substituting these values in the formula,
[tex]19200=9600(e)^{0.06\times t}[/tex]
[tex]2=e^{0.06t}[/tex]
[tex]ln(2)=ln(e^{0.06t})[/tex]
ln(2) = 0.06t
t = [tex]\frac{0.693147}{0.06}[/tex]
t = 11.55245
t ≈ 11.5525 years
Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.
Therefore, $960000 will get doubled in 11.5525 years.
find the asymptotes, domain, range and end behavior and sketch the parent graph with the translated graph
Answers
Answer:
27) x = 2^(y) – 5.
Asymptote: x = -5.
D: x > -5; (-5, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
28) x = 2^-(y–3).
Asymptote: x = 0.
D: x > 0; (0, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → +infinity.
x → +infinity, f(x) → -infinity.
________________________
29) x = 4^(y–2) + 1.
Asymptote: x = 1.
D: x > 1; (1, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
It has been reported that 8.7% of U.S. households do not own a vehicle, with 33.1% owning 1 vehicle, 38.1% owning 2 vehicles, and 20.1% owning 3 or more vehicles. The data for a random sample of 100 households in a resort community are summarized in the frequency distribution below. At the 0.05 level of significance, can we reject the possibility that the vehicle-ownership distribution in this community differs from that of the nation as a whole?
Number of Vehicles Owned Number of Households 0 20 1 35 2 23 3 or more 22 =100
Answers
Answer:
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
Step-by-step explanation:
Given the data in the question;
Number of vehicle owned Number of households
0 20
1 35
2 23
3 or more 22
Total ( n ) 100
so
Null hypothesis H₀ : In this community, vehicle ownership distribution is like that of all U.S household
Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household
Also given that, ∝ = 0.05
Now, we compute the test statistics;
x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]
where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.
so we make our table for chi square test statistics
No. of O[tex]_i[/tex] P E[tex]_i[/tex] (O[tex]_i[/tex] - E[tex]_i[/tex])² (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]
Vehicle (n×P)
owned
0 20 0.087 8.7 127.69 14.677
1 35 0.331 33.1 3.61 0.109
2 23 0.381 38.1 228.01 5.985
3 or more 22 0.201 20.1 3.61 0.180
Total 100 100 20.951
hence, x² = 20.951
Now, degree of freedom df = k - 1 = 4 - 1 = 3
From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05
[tex]x_{0.05, 3[/tex] = 7.815
Decision Rule
Reject H₀ if x² is greater than xₐ².
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
Need ASAP I’ll mark brainliest if right
Answers
Answer:
616 in²
Step-by-step explanation:
14 × 14 × 22/7
=> 616
Answer:
616 inches squared
Step-by-step explanation:
14 × 14 × 22/7
=> 616
A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 59 cars owned by students had an average age of 7.72 years. A sample of 49 cars owned by faculty had an average age of 6.1 years. Assume that the population standard deviation for cars owned by students is 2.73 years, while the population standard deviation for cars owned by faculty is 3.8 years. Determine the 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.
Answers
What is the volume of the rectangular solid below?
Answers
Answer:
16 cubic units
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
what is the difference between
7z
and z to the power of 7
Answers
Answer:
7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.
Step-by-step explanation:
7z is 7 times of z.
7z= z +z +z +z +z +z +z
z⁷ (z to the power of 7) is multiplying z by itself 7 times.
z⁷= z ×z ×z ×z ×z ×z ×z
Which of the following is a biconditional statement?
Question 4 options:
A)
A shape has four sides if and only if it's a quadrilateral.
B)
If a shape has four sides, then it's a quadrilateral.
C)
If a shape is a quadrilateral, then it has four sides.
D)
If a shape doesn't have four sides, then it isn't a quadrilateral.
Answers
Answer:A)
A shape has four sides if and only if it's a quadrilateral.
Step-by-step explanation:
If a conditional statement and its converse are both true, then the statement is a biconditional statement. Biconditional statements can be written using the phrase “if and only if.” For example, a polygon is a hexagon if and only if it has six sides.
what steps can be taken to find the product of 8.31 and 1,000
Answers
Product means to multiple
8300 is the product of 8.31 and 1,000
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We need to find the product of 8.31 and 1,000.
product of Eight point three one and thousand.
In the given numbers 8.31 is a decimal number and 1000 is a whole number.
To multiply both let us make thousand as a whole number by placing two zeros on right side of 1000 with a point.
1000.00
× 8.31
_________
8310
Hence, 8300 is the product of 8.31 and 1,000
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Solve for x
6-6x = -24
Answers
Answer:
=
5
Step-by-step explanation:
Answer:
X = 5
Step-by-step explanation:
Please Help Me ASAP!
Answers
Answer:
-4
Step-by-step explanation:
[tex] \sqrt{16} = 4[/tex]
but there is a negative sign so -4
Answer:
4
as the square root of 16 is 4 the answer will be +as well as -4 but the minus sign will be cancel out as there iss -sign outside
If X and Y are supplementary angles, then X and Y are: always, sometimes, or never vertical?
Pick one
Answers
Answer:
sometimes
Step-by-step explanation:
What is the answer to 129 x 526
Answers
129×526
=67,854
it is the correct answer
hope it helps you have a good day please mark me as brain list
Answer:
129×526
= 67854 is your answer
hope it is helpful to you
In order to compare the performance of students in large enrollment and small enrollment sections, 35 students from large sections and 35 students from small sections of a freshman mathematics course were randomly selected. The mean and sample standard deviation of grades on the common final exam for the students from large sections were 72.8 and 7.4; for the students from small sections, the mean and standard deviation were 75.3 and 6.8. A 90% confidence interval for the difference in the mean common final exam scores between students in the two types of sections is about:
Answers
Answer:
The 90% confidence interval for the difference in the mean common final exam scores between students in the two types of sections is about (-5.3, 0.3).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
35 students from large sections. The mean and sample standard deviation of grades on the common final exam for the students from large sections were 72.8 and 7.4;
This means that:
[tex]\mu_L = 72.8, s_L = \frac{7.4}{\sqrt{35}} = 1.25[/tex]
35 students from small sections. For the students from small sections, the mean and standard deviation were 75.3 and 6.8.
This means that:
[tex]\mu_S = 75.3, s_S = \frac{6.8}{\sqrt{35}} = 1.15[/tex]
Distribution of the difference in the mean common final exam scores between students in the two types of sections:
Has mean and standard error given by:
[tex]\mu = \mu_L - \mu_S = 72.8 - 75.3 = -2.5[/tex]
[tex]s = \sqrt{s_L^2+s_S^2} = \sqrt{1.25^2 + 1.15^2} = 1.7[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = zs = 1.645*1.7 = 2.8[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is -2.5 - 2.8 = -5.3
The upper end of the interval is the sample mean added to M. So it is -2.5 + 2.8 = 0.3
The 90% confidence interval for the difference in the mean common final exam scores between students in the two types of sections is about (-5.3, 0.3).
Find the equation of the line passing through the point (–1, 5) and perpendicular to the line y = – 3x + 4.
Question 8 options:
A)
3y = x + 16
B)
y = –3x + 2
C)
y = –3x + 8
D)
3y = –x + 16
Answers
9514 1404 393
Answer:
A) 3y = x + 16
Step-by-step explanation:
The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.
Swapping coefficients, we get ...
-3y = x + c
Negating the y-coefficient gives ...
3y = x + c
Filling in the given point, we have ...
3(5) = -1 + c
16 = c
The equation of the perpendicular line can be written as ...
3y = x + 16 . . . . matches choice A
_____
Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.
Three years ago, the annual tuition at a university was $3,000. The following year, the tuition was $3,300, and last year, the tuition was $3,630. If the tuition has continued to grow in the same manner, what is the tuition this year? What do you expect it to be the next year?
Answers
Answer:
$3990
Step-by-step explanation:
First, if the tuition increased by 300 the first year, and 330 the next year, I can infer that the tuition increases by $30 a year. This year, the the tuition will cost 360, because 330 + 30 = 360. So, this year the tuition will be 3990, because 3630 + 360 = 3990.
Hope this helps
pls answer me this all question
Answers
Answer:
a. [tex]5 \frac{21}{40} [/tex]
b. [tex] \frac{1}{42} [/tex]
Step-by-step explanation:
[tex]a. \: 12 \frac{2}{5} - 6 \frac{7}{8} [/tex]
[tex] \frac{62}{5} - \frac{55}{8} [/tex]
[tex] \frac{62}{8} \times \frac{8}{8} - \frac{55}{8} \times \frac{5}{5} [/tex]
[tex] \frac{62 \times 8 - 55 \times 5}{40} [/tex]
[tex] \frac{221}{40} [/tex]
[tex]5 \frac{21}{40} [/tex]
[tex]b. \: \frac{3}{14} - \frac{4}{21} [/tex]
[tex] \frac{3}{14} \times \frac{3}{3} - \frac{4}{21} \times \frac{2}{2} [/tex]
[tex] \frac{3 \times 3}{42} - \frac{4 \times 2}{42} [/tex]
[tex] \frac{1}{42} [/tex]
Hope it is helpful....
Define decimal number system.
[tex] \\ \\ \\ \\ [/tex]
Answers
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: BTS \: }[/tex]
➳ Ofc BTS!!!!!
➳Jimin - BTS
An auditorium has 40 rows of seats. There are 20
seats in the first row. Each row has 2 more seats
than the row before.
Identify the number of seats in the first 4 rows:
Answers
Answer:
140 seats
Step-by-step explanation:
40 rows
1ˢᵗ row = 20 seats
39 next rows = 2×20 = 40 seats
First 4 rows = 20 seats + 3(40) seats = 140 seats
➪the 2ⁿᵈ, 3ʳᵈ and 4ᵗʰ rows have equal number of seats = 40 seats
Answer:
98
Step-by-step explanation:
One positive number is 9 more than twice another. If their product is 731, find the numbers.
Answers
Answer:
361
Step-by-step explanation:
The dimensions of a figure are 5(2x+3). Which figure below represents the same figure and its area? F H 12x 36 5x 8 10x 15 2x 15
Answers
Please mark brainliest
Answer:
The correct answer is G(1, 4).so go through it.
The sum of the measures of three
angles is 90°
The measure of angle M is 2x
The measure of angle N is 3x + 8
The measure of angle Q is 7x - 2
What is the value of x?
FOR BRAINLIST!!
Answers
Answer:
A
Step-by-step explanation:
Equation
2x + 3x + 8 + 7x - 2 = 90
Solution
Combine like terms on the left
12x + 6 = 90 Subtract 6 on both sides
12x = 90 - 6
12x = 84 Divide by 12
x = 84/12
x = 7
Use a+= then find the perimeter
A rectangle with a length of 15 feet has a
diagonal that measures 17 feet. Find the
perimeter of the rectangle.
A. 46 feet
B. 32 feet
C. 58 feet
D. 64 feet
ОА
Answers
Answer:
The answer is 46
Step-by-step explanation:
Since there is a diagonal, you can't assume that it is the width because if it was the width, it would say so. Since 17 was the measure of the diagonal, I did pythagorean theorem: 15^2 + x^2 = 17^2 --> 225 + x^2 = 289 --> x^2 = 64 --> x = 8. So now we have figured out the width of the rectangle and it's 8. Now we can add: 8 + 8 + 15 + 15 = 46. That is why the answer is 46.
The perimeter of the rectangle 46 feet.
The correct option is (A).
What is perimeter?Perimeter is the distance around the edge of a shape.
Learn how to find the perimeter by adding up the side lengths of various shapes.
Given : length= 15 feet and diagonal= 17 feet
Since there is a diagonal.
So, using Pythagorean theorem:
H² = P²+B²
15²+ x² = 17²
or, 225 + x² = 289
or, x² = 64
x = ± 8 feet.
Thus, width = 8 feet
Perimeter of rectangle= 2*(l+b)
= 2*(15+8)
= 2*23
=46 feet
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The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder has the same base area and height. What is the volume of the cylinder?
Answers
Given:
A prism has a base area of [tex]20\pi [/tex] square units and a volume of [tex]120\pi[/tex] cubic units.
To find:
The volume of the cylinder if the cylinder has the same base area and height.
Solution:
Volume of a prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
The volume of cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]V=Bh[/tex]
Where, r is the radius, h is the height of the cylinder and [tex]B=\pi r^2[/tex] is the base area.
Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.
Hence the volume of the cylinder is [tex]120\pi[/tex] cubic units.
Answer:
120 pi cubic units
Step-by-step explanation:
Help please I’ll give extra points and brainlist
Answers
True
______
A closed circuit basically means everything is connected by wires and for this setup every device receives electricity making this true
A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle? (answer $192)
Use your answer from the above question to help answer this question!! The store is now going out of business and is selling all of the bicycles at a 30% discount. What is the sale price of the bicycle?
Answers
Work: 192 x .7
Meatball subs used to cost $5.40 at Mike's Sub Shop, but he just increased the price by $0.54.
How much do subs cost now?
Answers
Answer:
Step-by-step explanation: $5.40 + $0.54 now equals $5.94
Line A contains the points (– 6, – 3) and (– 2, – 1). Line B contains the points (8, 2) and (12, 4).
How many solutions does the system of equations have?
Answers
Answer:
One Answer
Step-by-step explanation:
Take two points like (8,2) and (12,4) and do y2-y1/x2-x1.
4-2/12-8 = 4/2 = 2.
Then that another point and plug it in to the equation, y = 2x + b.
i will use (8,2). 2 = 2(8)+b. solve this and you get b= -14.
now you found your answer. y=2x + -14.