Answer:
[tex]y = \frac{3}{2} x + 13[/tex]
Step-by-step explanation:
1) Use point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. So, substitute [tex]\frac{3}{2}[/tex] for m, -4 for [tex]x_1[/tex], and 7 for [tex]y_1[/tex]. Then, simplify and isolate y on the left side like so:
[tex]y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13[/tex]
Complete the statement. Round to the nearest hundredth if necessary.
4 ft = ?m
Answer:
1.2192m
Step-by-step explanation:
A rectangle has an area of 36 square centimeters. The width of the rectangle is 4 centimeters.
What is the length of the rectangle?
A factory process requires 3 steps to finish a product. The steps each have a mean completion time of
= 10 seconds and a standard deviation of g = 5 seconds. The time it takes to complete each step is
independent from the other steps. Let T be the total completion time of the 3 steps on a randomly chosen
product.
Find the mean of T.
HT=
seconds
Use a whole number.
Answer:
square root 75
Step-by-step explanation:
khan
Using the normal distribution, the mean of T is of 30 seconds.
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
The mean of T is 10 seconds
A normal distribution has two parameters: Mean and standard deviation .
The given parameters are the mean completion time of each step, μ = 10 seconds
The standard deviation, σ = 5 seconds.
For the total completion, there are 3 instances, hence ,n = 3(10)
Thus, the mean of T is of 30 seconds.
Learn more about standard normal distribution here:
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Adding fractions......
Answer:
28 8/21
Step-by-step explanation:
18 5/7 + 9 2/3 (hint: remember you have to turn them into common denominators)
so ther least common denominator would be 21 so...
18 15/21 + 9 14/21
then add it together
28 8/21
Answer:
I got 28 8/21. There's a picture of how I did it.
Step-by-step explanation:
I used a method called the butterfly method. I did 18 + 9 which equals 27. Then I did 5/7 + 2/3 and got 29/21, and divided the fraction and got 28 8/21.
same price, d.
) Which model represents the situation?
d
d
10
d
19
.) What is the price of one drink?
d=
7
8
9
ex
4
5
6
Answer: ddddd
Step-by-step explanation:
Cool-Down
A meal costs $20 before tax and tip.
There is a 8% sales tax. After the tax, a 15% tip is
added.
What is the total after tax and tip?
Answer:
24.84$
Step-by-step explanation:
You multiply 20 by 0.08 which equals 1.6
then you add 20 + 1.6 which equals 21.6
then you multiply 21.6 by 0.15 which equals 3.24
24.84
How many ratios are equivalent to 3 : 8 ?
Answer:
6 : 16, 12 : 32 and 18 : 48.
Step-by-step explanation:
Therefore, the three equivalent ratios of 3 : 8 are 6 : 16, 12 : 32 and 18 : 48.
Suppose a city with a population of 400,000 has been growing at a rate of 3% per year what will the population be in the next 19 years
Pls help!!
Pythagorean Theorem
Find the missing side of the triangle! Write down the missing side and what type of triangle it is!
Answer:
1.) isosceles triangle x=11.3
2.) scalene triangle x=14.1
3.) isosceles triangle x=6.02
4.) isosceles triangle x=15
5.) scalene triangle x=12
Step-by-step explanation:
The mass of a large car is 1200 kg. How much force would be required to accelerate the car at a rate of 5 m/s2?
Answer:
6000/s^2
Step-by-step explanation:
Answer 6000/s^2
Step-by-step explanation:
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answer:
Its 3x-5
Step-by-step explanation:
In the standard (x, y) coordinate plane, a point
(4, - 3) is shifted left 10 units and up 12 units. What
are the new coordinates of the point?
(-6,9)
Step-by-step explanation:
Which graph represents the solution set to this system of equations? Y=-1/2x+3 and y=1/2x-1
Answer:
It's D.
Step-by-step explanation:
Which number is a factor of 84?
Answer:
3
Step-by-step explanation:
Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
what is 1+2=? i need to know if it’s 2 or 12
Answer:
3
Step-by-step explanation:
1+2 = 3
WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP
Answer:
B
Step-by-step explanation:
y=4x
in the graph
(8,32),(12,48),(16,64)
x={8,12,16}
y={32,48,64}
from y=4x
1)32=4x,x=32/4,x=8 ;(8,32)
2)48=4x,x=48/4,x=12 ;(12,48)
3)64=4x,x=64/4,x=16 ;(16,64)
Solve the system.
2x – 6y= -4
6x – 8y = 18
Answer:
Step-by-step explanation:
2,9
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Answer:
(2,2)
Step-by-step explanation:
Sub equation 2 in 1 to get 2x-2=-4x+10
6x=12
x=2
sub x in 2
y=4-2
y=2
Apples are on sale for $3.12 per kilogram is the total cost of apples proportional to the total mass?
Answer:
yes
Step-by-step explanation:
(there really isn't much else to say, it's quite simple)
I NEED HELP PLEASE !!!!
Answer:
NEVER INTERSECT
Hope this Helps
2 minutes left need help PLS :(
Heyy pleaseeeee help meeeeeeeeee
Answer:
no solution
Step-by-step explanation:
Bradley Wiggins cycles 2.5km on a warm up. If the diameter of Bradley's bike wheel is 68cm, how many times (to the nearest whole rotation) will Bradley's bike wheel have rotated on this journey?
Answer:
1171 rotations
Step-by-step explanation:
Given that:
Distance cycled = 2.5km
Diameter of bike wheel, d = 68cm = 0.68m
We obtain the Circumference of the bike wheel:
Circumference, C = πd
C = 3.14 * 0.68
C = 2.1352 m
The number of rotations Bradley's wheel will make will be :
Total distance cycled / Circumference
= (2.5 *1000)m / 2.1352m
= 2500 / 2.1352
= 1170.8505
= 1171 rotations
What is the y-intercept of the line?
У.
-2
0
х
-2
1
2
1
Answer:
1
Step-by-step explanation:
Because the line is crossing on 1, on the y-axis.
Someone help me Solve x
Answer:
x=12Step-by-step explanation:
Hope this helpsI would explain but I have some work so sorryAnswer:
x = 12
Step-by-step explanation:
Angles and Lines
The figure attached below has been completed with the angle y to support the calculations to come.
The sum of the interior angles of a rectangle is 180°. Applying on triangle PQR:
30 + 4x + 2 + y = 180
Simplifying:
32 + 4x + y = 180
Solving for y:
y = 180 - 32 - 4x
y = 148 - 4x
Angles y and 8 + 6x are a linear pair, i.e. their sum is 180°, thus:
y + 8 + 6x = 180
Substituting y from the equation above:
148 - 4x + 8 + 6x = 180
Simplifying:
156 + 2x = 180
Dividing by 2:
78 + x = 90
Subtracting 78:
x = 90 - 78
x = 12
What is the slope of the line ?
Answer:
1/2
Step-by-step explanation:
You need to start at any point on the line. Then, you count up one point. Next you count over to the right as many times as you need to get to the line. Since that number will be 2, the answer becomes 1/2.
What is the largest number of combination bags that Diego can make with no left over? Explain how you know this is the largest possible number of bags?
This question is incomplete
Complete Question
Diego is preparing brownies and cookies for a bake sale. He would like to make equal-size bags for selling all of the 48 brownies and 64 cookies that he has. What is the largest number of combination bags that Diego can make with no left over? Explain how you know this is the largest possible number of bags?
Answer:
16 bags.
Step-by-step explanation:
From the question, we have:
48 brownies and 64 cookies that he has
Hence, we solve this question using Greatest common factor method.
The first step would be to find the factors of 48 and 64. We would then pick the Greatest (largest factor) common to both.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 64 are: 1, 2, 4, 8, 16, 32, 64
Then the greatest common factor is 16.
Therefore, the largest number of combination bags that Diego can make with no left over is 16 bags
Triangle ABC is similar to triangle DEF
Answer:
A my dude. good luck!!!!!
Answer:
A
Step-by-step explanation:
AC = 5
DF = 15
5 x 3 = 15
BC = 3
EF = 9
3 x 3 = 9
Do you see the pattern? So as you can see the difference between Triangle ABC and DEF is the multiply/divide 3 so if you want to find DE then you should set it up as:
[tex]\frac{4}{3}[/tex] = [tex]\frac{DE}{9}[/tex] and to check if its right if you solve it you get [tex]\frac{4}{3}[/tex] = [tex]\frac{12}{9}[/tex]
and as you see [tex]\frac{12}{9}[/tex] and [tex]\frac{4}{3}[/tex] are literally the same thing just you need to simplify [tex]\frac{12}{9}[/tex]
The hospital has found that if a patient is being visited on average at least 8.4 times per day, they can give the same patient care with 3 less nurse visits per day. How many nurse visits per day can the hospital reduce for these 13 patients?
Answer:
6
Step-by-step explanation:
the number of patients that get visted 8.4 times is 1 and another 1 at 8.3 add those up and mutiply by the 3 less nurses visits you get 6
Number of nurse hours the hospital can reduce is 6.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Number of patients visited on average at least 8.4 times per day = 2 patients
Now for each of the 2 patients the hospital can reduce 3 nurse visits.
Thus,
Number of nurse hours the hospital can reduce = 3 x 2
⇒ Number of nurse hours the hospital can reduce = 6 hours
Thus, Number of nurse hours the hospital can reduce is 6.
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what is the equation of the line given the table
Answer:
y=3x-1
Step-by-step explanation: