Answer:
[tex]y=\frac{3}{2} x-6[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form:[tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines will always have the same slope but different y-intercepts.1) Determine the slope of the parallel line
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
[tex]3x = 2y[/tex]
Switch the sides
[tex]2y=3x[/tex]
Divide both sides by 2 to isolate y
[tex]\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x[/tex]
Now that this equation is in slope-intercept form, we can easily identify that [tex]\frac{3}{2}[/tex] is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope [tex]\frac{3}{2}[/tex] . Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{3}{2} x+b[/tex]
2) Determine the y-intercept
[tex]y=\frac{3}{2} x+b[/tex]
Plug in the given point, (4,0)
[tex]0=\frac{3}{2} (4)+b\\0=6+b[/tex]
Subtract both sides by 6
[tex]0-6=6+b-6\\-6=b[/tex]
Therefore, -6 is the y-intercept of the line. Plug this into [tex]y=\frac{3}{2} x+b[/tex] as b:
[tex]y=\frac{3}{2} x-6[/tex]
I hope this helps!
1
Select the correct answer from each drop-down menu.
Prism M and pyramid N have the same base area and the same height Cylinder P and prism Q have the same height and the same base perimeter.
Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The figures
have the same volume.
and
Answer:
i cant see it
Step-by-step explanation:
Answer:
A. cone Z
B. cylinder Y
Step-by-step explanation:
The figures cone Z and cylinder Y have the same volume.
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )
Answer:
Step-by-step explanation:
2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )
Answer:
(72 divided by 8) second one, 72 divided by (8 - 2),third one, 72 divided by (8 - 2) x (3 + 1). last one. then the leftover number is the first one.
Step-by-step explanation:
sec 330 find the exact value in simplest form with a rational denominator
Answer:
[tex]\implies \sec 3 30^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given :-
[tex]\sec 330^o [/tex]And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,
[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]
Using this ,
[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]
And the value of sec 30° is ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]
And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]
Hence the required answer is 2√3/3.
Answer please for brainliest
Answer:
the answer is 0.7 by the way!
Step-by-step explanation:
This is talking about the distance from zero sooo...
350 is what percent of 400??
Answer:
350 is 87.5% of 400
350/400 = 87.5%
The fraction
produces a repeating decimal.
0.750
O A. True
B. False
Answer:
False
Step-by-step explanation:
6/8=3/4=0.75 not 0.750750750750...
Answer:
False
Step-by-step explanation:
The fraction in decimal form will be 0.75 and not a repeating decimal.
[someone help] The speed of the object 7 seconds after it is dropped is ___m/sec
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Answer:
68.6 m/s
Step-by-step explanation:
The speed at a given time is the derivative of the height at that time.
dh/dt = -9.8t
At t=7, the speed is ...
-9.8(7) = -68.6 . . . . . meters per second (downward)
The speed is 68.6 meters per second.
_____
Additional comment
Height is considered to be positive in the up direction, so velocity and acceleration are also positive in the up direction. The derivative of height will be the velocity. Its negative sign in this case indicates the object is moving in the downward direction. The speed is the magnitude (absolute value) of the velocity.
Ben has 1/2 cup of sugar he uses of the 1/5 sugar. What fraction of the sugar did Ben uses to make lemonade?
Answer:
3/10
Step-by-step explanation:
i
Answer:
3/10
Step-by-step explanation:
Multiply 1/2 by 5 to reach 5/10 and 1/5 by 2 to reach 2/10. Then subtract 2/10 from 5/10 to achieve the answer 3/10.
A linear equations in two variables has infinitely many solutions true or false
Answer:
the answer is false because Every system of linear equations has exactly one solution, no solution or infinite number of solutions
 what’s the y intercept and slope of all of them? I give Brainly
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Answer:
slope: 6; y-intercept: -3slope: 11; y-intercept: -1slope: 2; y-intercept: -13slope: 1; y-intercept: -6Step-by-step explanation:
The slope is found using the slope formula. It works well to choose ordered pairs that only differ by 1 in their x-value.
m = (y2 -y1)/(x2 -x1)
The y-intercept is the y-value when x=0. If it is not in the table, it can be found from one point and the slope.
b = y1 -m·x1
__
1) slope = (9 -3)/(2 -1) = 6
y-intercept = -9 -6(-1) = -3
__
2) slope = (21 -(-1))/(2 -0) = 22/2 = 11
y-intercept = -1 . . . from table for x=0
__
3) slope = (-9-(-11))/(2-1) = 2
y-intercept = -11 -(2)(1) = -13
__
4) slope = (-4 -(-5))/(2 -1) = 1
y-intercept = -7 -1(-1) = -6
Students have a height is less than what number 58?62?64?70?
Answer:
C 64 students have half the height
solve for 30 points and brainliest
7³(8)÷3(2)-1800.3 repeating
Answer:
29.033333
Step-by-step explanation:
Answer: -1342.966 repeating
Step-by-step explanation: Pemdas≈7^3(8)/6-1800.3=(343)(4)/(3)-1800.3=457.333-1800.3=1342.96
FIRST (CORRECT) ANSWER I WILL GIVE BRAINLIEST
Use the formula to find the area of the triangle when b = 8 and h = 12.
Note: The figure is not drawn to scale.
A.
48 square centimeters
B.
96 square centimeters
C.
20 square centimeters
D.
208 square centimeters
Find the inverse of the function.
y = x + 2
Write your answer in the form ax + b. Simplify any fractions.
y =
Given:
The function is:
[tex]y=x+2[/tex]
To find:
The inverse of the given function.
[tex]y=x+2[/tex]
Solution:
We have,
[tex]y=x+2[/tex]
Step 1: Interchange x and y.
[tex]x=y+2[/tex]
Step 2: Solve to y.
[tex]x-2=y[/tex]
[tex]y=x-2[/tex]
Therefore, the inverse of the given function is [tex]y=x-2[/tex].
Sharon created a rectangular prism with cubes that have a side length of 1 inch. The prism is shown below.
What is the volume of Sharon’s prism? A. 18 cubic inches B. 27 cubic inches C. 36 cubic inches D. 54 cubic inches
Answer:
6 x 2 x 3 = 36
Step-by-step explanation:
C is answer :)
Answer:
lets look at the width and the height and the length!
your width is: 6
your height is: 2
your length is: 3
Now lets multiply all given lengths to find the volume!
6 x 2 x 3 = 36 cubic inches!
In Ronna’s class, the ratio of boys to girls is 2:3. In Suzie’s class, there are half as many girls as in Ronna’s class. If there are 12 boys in Ronna’s class, how many girls are in Suzie’s class?
Answer:
4
Step-by-step explanation:
2:3
4:6
6:9
8:12
8 girls in Ronna’s class
Half of 8 is 4
NEED HELP FAST WILL GOVE THE BRAINLEST
Answer:
us my understanding the answer is B
Step-by-step explanation:
y=8x-3
8x-y=3
3/8
y=8x+9/5
0=8x9/5
x=9/40
Lena sells two types of fidget toys. The price for each fidget toy A is x and the price for each Fidget B is y. Write an equation that will let her earn a profit of $3500 if she sells 20 of Fidget A and 60 of Fidget B
Answer:
3500 = 20x + 60y
Step-by-step explanation:
Its just the answer
HELPP!! PLSS ANSWER HOW YOU GOT THAT ANSWE.I will add points who answers fully!!
Kevin purchased 5 hamburgers for $1.40 each and 6 sodas for $1.25 each. The tax on his order was 8%. What was the total cost of Kevin's purchase?
A $22.50
B $I5.66
C $14.58
D $14.31
Answer:
B. $15.66
Step-by-step explanation:
Hamburgers: 5 x 1.40 = 7
Sodas: 6 x 1.25 = 7.5
Total food cost = 14.50
tax is 8%, 0.08 as a decimal
14.50 x 0.08 = 1.16 tax
add food total and tax:
14.50 + 1.16 = $15.66
Comparing observations from different populations: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches.
Required:
a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
b. What percentage of men are SHORTER than 6 feet 3 inches?
c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
d. What percentage of women are TALLER than 5 feet 11 inches?
Answer:
a. Z = 1.99
b. 97.67%
c. Z = 2.56
d. 0.52%
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches, and thus, we have [tex]\mu = 69.7, \sigma = 2.66[/tex]
6 feet 3 inches = 6*12 + 3 = 75 inches, which means that we have to find z when X = 75. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 69.7}{2.66}[/tex]
[tex]Z = 1.99[/tex]
b. What percentage of men are SHORTER than 6 feet 3 inches?
The proportion is the p-value of Z = 1.99.
Looking at the z-table, Z = 1.99 has a p-value of 0.9767.
0.9767*100% = 97.67%, which is the answer.
c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches, and thus, we have [tex]\mu = 64.5, \sigma = 2.54[/tex]. We have to find Z when X = 5*12 + 11 = 71. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{71 - 64.5}{2.54}[/tex]
[tex]Z = 2.56[/tex]
d. What percentage of women are TALLER than 5 feet 11 inches?
The proportion is 1 subtracted by the p-value of Z = 2.56.
Looking at the z-table, Z = 2.56 has a p-value of 0.9948.
1 - 0.9948 = 0.0052
0.0052*100% = 0.52%, which is the answer.
Pls help me
Here is triangle ABC:
No links pls
Answer:
[tex]Given: AC=1[/tex]
∠A=0
[tex]Cos0=\frac{B}{H} =\frac{AB}{AC}[/tex]
[tex]Cos0=\frac{AB}{1}[/tex]
[tex]AB=Cos0[/tex]
-------------------------
hope it helps...
have a great day!!
Answer:
AB = AC×cos theta= cos theta
Mr. Levy buys .25 lbs of turkey at the store. The turkey costs $2.55. How much does Mr. Levy spend?
Answer:
about 64 cents
Step-by-step explanation:
The results of a survey show that the percent of adults in a certain town who want to add bike lanes to a major roadway is in the interval (0.57, 0.65)
(a) What is the point estimate for the percent who want to add the bike lanes?
(b) What is the poll’s margin of error?
(c) If the town’s adult population is 31,526, what is the best estimate for the number of people who would support the bike lanes?
Please DO NOT COMMENT RANDOM LETTERS
Answer:
a) about 39.5%
sorry if it wrong im not sure tho
Step-by-step explanation:
6) What is the value of digit 7 in 0.057 *.///what is the answer _____________________
7/10
0.07
7/1000
Answer: 7/1000 (choice C)
This is because the 7 is in the thousandths decimal place. We put the 7 over 1000 to form the fraction 7/1000.
4. What is the area of the shaded region in the figure below?
67
A
IT or 20.30 e
8
67
B
3 feet
IT or 17.50
12
10
O or 3.49
0
D
5
IT or 1.90 Ft
8
HELP WILL GIVE BRANLIEST!
Answer:
4 Units
Step-by-step explanation:
Seventy-five percent of the land in Venezuela is owned by:
2% of the people
17% of the people
75% of the people
10% of the people
In what quadrant does the angle 9pi/ 5 terminate?
the angle 4pi/5 in quadrent 2
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Answer:
9π/5 terminates in Quadrant IV
Step-by-step explanation:
The attached shows the terminal ray (OP) of the angle with measure 9π/5 ≈ 5.65 radians. It lies in the 4th quadrant.
Only answer if you’re a hundred percent sure. The answer has to be a single number.
Answer:
The answer should be -4/1 or just -4.
Step-by-step explanation:
y/x
The change in y is reducing by 4. The change in x is adding 1
At a state fair, there are 10 animal exhibits, 12 gardening exhibits, and 8 farm equipment exhibits. Describe a model that you could use to simulate randomly choosing an exhibit to visit.
Answer:
10:12:8
Step-by-step explanation:
so, there are 10 animal exhibits, 12 gardening exhibits, and 8 farm equipment exhibits. so it would look like this 10:12:8