Answer:
The slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Step-by-step explanation:
Given the equation
[tex]y-4=-\frac{2}{3}\left(x-6\right)[/tex]
comparing it with the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
so the slope of the line is -2/3.As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 3/2
The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
writing the line equation in the slope-intercept form
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{3}{2}\left(x+2\right)-2[/tex]
[tex]y=\frac{3}{2}x+1[/tex]
Thus, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Here,
As the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]y=\frac{3}{2}x+1[/tex]
m=3/2
b = y-intercept = 1
Therefore, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
ANSWER THESE FAST PLZ
Answer:
1. -3
3. -11
5. 2
7. 5
9. 13
11. -13
13. 11
15. 10
The sum of two numbers is 240. If one of them
is y find the other number.
Answer:
120?
Step-by-step explanation:
Let's solve the problem step by step: Let's assume the other number is x. According to the problem, the sum of the two numbers is 240. so we can write the equation as: [tex]x + y = 240[/tex]
To find the value of x, we need to substitute the value of y into the equation. Since y is given, we can substitute it. [tex]x + y = 240 x + y = 240 x + y + (-y) = 240 + (-y) x = 240 - y[/tex] Now, we have an equation expressing x in terms of y. To determine the value of x, we need to know the value of y.
Without that information, we cannot calculate the value of x specifically. However, based on the information given, we can conclude that the value of x will be equal to 240 subtracted by the value of y.
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If _______ angles are ______ then lines are parallel
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
p = x / n
p = 91/110
p = 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= p - Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
What is the first step in solving the equation 1 + 3/5x = 3?
What is the second step in solving the equation?
Answer:
subtract 1 from both sides
cube both sides
Step-by-step explanation:
nhfbgdvzfsdfexgrdtbfvdcfewzsxrdfcgvhjyvtfhcdgrxesrgdfcgvh
PLEASE HELP!!! Complete the equation of the line through (4, - 8) and (8, 5) Use exact numbers. y =
Slope=(5--8)\(8-4)= 13\4
13\4(x-4)=y+8
13\4x-13-8 =y
13\4x-21=y
for an arithmetic sequence, given Sn=690,a1=19, an=96 find the value of n help pleaseeeee
Answer:
will u b my frend
Step-by-step explanation:
PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP ME
Answer:
A.) 40.506 cm is the answer
Answer:
A. 40.506
Step-by-step explanation:
r=6.45
c= 2*3.14*6.45
c=40.506
Find the slope. Explain what the slope and y-intercept means for the situation. Be sure to use your labels when explaining the real-life situation.
Answer:
Slope: 25, y-intercept: 0
Step-by-step explanation:
Take any two points. I'm going to take (3, 75) and (4, 100).
How to find slope: change in y/change in x
Change in y --> 100 - 75 = 25
Change in x --> 4 - 3 = 1
25 ÷ 1 = 25.
Slope is 25
Since 3 · 25 = 75, the y-intercept is 0.
The y-intercept stands for how much money someone gets for working 0 days, so they get $0 for working/whatever situation they're in for 0 days.
Mr. Smith earns $375 per week as a salary plus he earns a 4% commission. If his total sales were $4,200, how much will he earn this week?
Answer:
$4,575
Step-by-step explanation:
4. -64
Multiplicative inverse
Answer:
the answer I got is -23, please let me know if I am wrong.
A package of 12
pens costs $3.84.
What is the cost
per pen?
An
IT WOULD BE 50 CENTS PER PEN
Step-by-step explanation:
What does the value of the mean absolute deviation tell you about the spread of the data?
Answer:
The Mean absolute deviation of any data set is best for explain how spread out the data values are compared to each other and the mean. This value is found be finding the difference of all data points to the mean of the data set, and then finding the average of those, by adding them all up and dividing by the total number of data points there are. If the mean absolute deviation is larger, then this means that there is more variability in the data set, and it is in fact very spread out. Finding the average of the distances of data points from the mean can be very helpful in determining conclusions about data sets.
Step-by-step explanation:
Change wording
The Mean absolute deviation of any data set gives us an idea about the variability in a dataset.
What is mean absolute deviation?The mean absolute deviation of a dataset is the average distance between each data point and the mean.
The Mean absolute deviation of any data set is best to explain how spread out the data values are compared to each other and the mean.
This value is found to be finding the difference of all data points to the mean of the data set, and then finding the average of those, by adding them all up and dividing by the total number of data points there are.
If the mean absolute deviation is larger, then this means that there is more variability in the data set, and it is in fact very spread out.
Finding the average of the distances of data points from the mean can be very helpful in determining conclusions about data sets.
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What is the volurne of the figure? Enter the answer in the box.
Cubic feet
Answer:
2700ft cubed
Step-by-step explanation:
Cody's school is selling tickets to a play. On the first day of ticket sales the school sold 2 adult tickets and 5 child tickets for a total of $38. The school took in $34 on the second day by selling 2 adult tickets and 4 child tickets. What is the price each of one adult ticket and one child ticket?
Answer:
do you still need the answer or no?
what is 149866.37636 rounded to the nearest whole number
Answer:
149866 is the nearest whole number.
Step-by-step explanation:
What is JK? In the picture above
Answer:
pretty sure it's also 2.9 since the other two sides are the same
Step-by-step explanation:
Answer:
if you are looking for an angle it is 90 if you are looking for the length of the side it is 2.9
Step-by-step explanation:
|×|=×
is the absolute value of x always, sometimes, or never x
Answer:
Sometimes
Step-by-step explanation:
I’ll give you an example so you can understand:
Let’s say x is 4. So plug 4 into the problem:
|4|=4 → This is a very true statement, where the absolute value of 4 is equal to 4.
Now, let’s say x is -7. So plug -7 into the problem:
|-7|=-7 → This is a false statement because it’s saying that the absolute value of -7 is -7 which is very untrue.
So |x|=x only works for positive numbers, but not negative numbers. Therefore, |x|=x is the absolute value of x sometimes.
Hope this helps and answers your question! :)
Duueee Tommorow Hellppp plzzz
Answer:
18
Step-by-step explanation:
3 *6= 18
or 18/100
or 9/50
Joshua was offered a job that paid a salary of $77500 in its first year . The salary was set to increase by 2% per year every year. If Joshua worked at the job for 5 years what was the total amount of money earned over the five years . to the nearest whole number
i think you have to use the sum of finite geometric series
a1=77,500
n=5
idk what im doing plz help
Answer:
I didnt get what you mean maybe try to explian it another way
Step-by-step explanation:
in a plane line e is parallel to line f line f is parallel to line g and line h is perpendicular to line e. which of the following must be true?
A. e ll g B. h ll g C.g ll h D. e ll h
Answer:
It's A
Step-by-step explanation:
Line e parallel to line g. Therefore, option A is the correct answer.
What are parallel lines?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that, in a plane line e is parallel to line f line f is parallel to line g and line h is perpendicular to line e.
Since, e║f, f║g
So, e║g
Therefore, option A is the correct answer.
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5 x 10^8 - 3.4 x 10^8 =
In Scientific notation PLS HELP
Answer:
[tex] 1.6 \times 10^8[/tex]
Step-by-step explanation:
[tex]5 \times 10^8 - 3.4 \times 10^8 \\ \\ =(5 - 3.4 ) \times 10^8 \\ \\ =1.6 \times 10^8[/tex]
The number of pizzas is in a proportional relationship to the weight of the shredded cheese toppings. When shredded, a 50-lb block of cheese is enough to make 150 large pizzas. Find the constant of proportionality. Use pencil and paper. Explain how you can use a constant of proportionality to find how much cheese is on one slice of pizza if there are 8 slices per pizza.
Answer:
3
Step-by-step explanation:
There will be 1/24 cheese on 1 slice of pizza and the constant of proportionality is 1/3
What is proportion?The size, number, or amount of one thing or group as compared to the size, number, or amount of another.
Given that, a 50-lb block of cheese is enough to make 150 large pizzas.
For 150 pizzas there are 50 lb cheese, so for 1 pizza = 50/150 = 1/3
Therefore, the constant of proportionality is 1/3
There are 8 slices in one pizza, therefore cheese for each slice = 1/3*1/8 = 1/24
Hence, There will be 1/24 cheese on 1 slice of pizza and the constant of proportionality is 1/3
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Garrett read 100 pages in his new mystery novel. The book has a total of 250 pages.
What percent of the book has Garrett read?
Answer:
40% I believe
Step-by-step explanation:
I searched it up
How do I find the measurement indicated in these problems.
Answer:
13. In parallelograms, adjacent angles are always supplementary. This means that angles that are right next to each other will always add up to 180.
So for this one, the two given angles add up to 180, creating this equation:
7x - 4 + 9x - 8 = 180
this can be simplified to x = 12
substitute x into <D to get <D = 100
since we know that <D and <A are supplementary, subtract m<D from 180 to get <A = 80
14. In parallelograms, opposite angles are always congruent, this means that in this problem <C and <A are equal to each other
so we can create an equation: 9x + 13 = 11x - 3
solve this to get x = 8
substitute 8 into <C's equation to get <C = 85
Since <C and <B are adjacent, subtract <C from 180 to get <B = 95
15. <J and <L are opposite to each other, so we know they are congruent
this means we can create an equation: 2 + 24x = 26x - 2
solve this to get x = 2
plug this into the equation for <J
you get <J = 50
16. In parallelograms, lines that are opposite to each other are always congruent. So this means that lines JM and KL are congruent
this means that we can create an equation of 2x - 15 = x - 4
solve this to get x = 11
plug in x to the equation for KL
you get KL = 7
Can someone help me out on this?
Answer:
19/20
Step-by-step explanation:
1/5=0.20
hope that makes sense
Jeff is standing on top of a tree next to a mysterious monolith (a big rectangular box). At time t = 0, Jeff threw a coconut vertically upwards. It landed on the top of the monolith 3 seconds later. The height of the coconut above the ground after t seconds is
Answer:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
(if the heights are measured in meters)
Step-by-step explanation:
In order to solve this problem we will need to first draw a diagram of the situation (see attached picture) and then, make use of the following physics equation:
[tex]y_{f}=\frac{1}{2}at^{2}+v_{0}t+y_{0}[/tex]
where:
[tex]y_{f}[/tex]=height of the object at a given time t
a=acceleration due to gravity
t=time
[tex]v_{0}[/tex]=initial velocity of the object
[tex]y_{0}[/tex]=initial height of the object.
we know most of this data, except for the height of theh object at the given time t and the initial velocity of theh object. We can make use of the given time to write the velocity in terms of the height of thte tree and the height of the monolith.
So let's substitute the values we know so far:
[tex]h=\frac{1}{2}(-9.81)t^{2}+v_{0}t+h_{tree}[/tex]
the problem tells us that after 3 seconds, the object reaches the height of the monolith, so let's do the substitution:
[tex]h_{monolith}=\frac{1}{2}(-9.81)(3)^{2}+v_{0}(3)+h_{tree}[/tex]
we can now solve this equation for the initial velocity, so we get:
[tex]h_{monolith}-h_{tree}=-44.145+3v_{0}[/tex]
[tex]h_{monolith}-h_{tree}+44.145=3v_{0}[/tex]
so:
[tex]v_{0}=\frac{h_{monolith}-h_{tree}+44.145}{3}[/tex]
and now we can substitute this back into the original formula to get the equation that represents the height of the coconut above the ground after t seconds:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
Number the steps for balancing equations:
2c = 14 equals what?
Answer:
7
Step-by-step explanation:
2c/2 = 14/2
c = 7
Luis distributes 49 roses equally among seven friends then three of his friends combined the roses they received to make a bouquet how many roses are in this bouquet there are blank roses in this bouquet
Answer:
The are 21 roses in the bouquet
Step-by-step explanation:
Since the 49 roses are distributed evenly amongst the 7, then what each of the seven will get would be 49/7 = 7 roses
So 3 of the friends combine every of theirs to make a bouquet
The number of roses in the bouquet will be 7 + 7 + 7 = 21 roses