Sector area can be found with the formula [tex]A = \frac{\theta}{360} \pi r ^2[/tex] where [tex]\theta[/tex] is the central angle.
r = 8m , [tex]\theta[/tex] = 135º
[tex]A = \frac{135}{360} \pi (8)[/tex] m^2
Arc length formula is [tex]s = 2\pi r (\frac{\theta}{360} )\\[/tex]
[tex]s = 2\pi (8)(\frac{135}{360} )\\[/tex] m
The two figures are similar. Solve for x/ plz I need help
Answer:
23
Step-by-step explanation:
EFGH is translated 3 units to the left and 7 units up.
у
1
-1
1 2
4
5
6 7 8 x
E4,-1)
H(
6-2)
2 F10,-3)
-3
G(2, 4)
-5
6
-7
What are the coordinates of H'?
Answer:
B: 3, 5
Step-by-step explanation:
Lol, literally just took the test on Ap3x right now
The Smith family has $1500 set aside for upgrades in their kitchen. The contractor charges
a $225 materials fee plus $75 per hour. Write and solve an inequality to find the possible
numbers of hours that they can use the contractor.
Answer:
$225 + $75x ≤ $1500
x ≤ 17
Step-by-step explanation:
The Smith family has $1500 spending limit and no more.
The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.
$1500 - $225 = $1275
Then we can simply divide the amount leftover with the hours the contractor works.
$1275 ÷ $75 = 17
The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500
The graphs below have the same shape. What is the equation of the red
graph?
G(x)=?
F(x) = x^3
A. G(X) = x^3 - 1
B. G(X) = (x - 1)^3
C. G(X) = x^2 + 1
D. G(x) = (x + 1)^3
Does anyone know ? ;-;
Answer:
[tex]y=\frac{3}{2}x+8[/tex]
Step-by-step explanation:
[tex]y=mx+b\\[/tex]
slope=m
[tex]y=-\frac{2}{3} x-1[/tex]
slope=[tex]-\frac{2}{3}[/tex]
slope=[tex]\frac{3}{2} ,(-4,2)[/tex]
[tex]y-y_{1} =m(x-1)\\\\y-_{2} =\frac{3}{2} (x-4)\\\\y-2=\frac{3}{2} x+6\\[/tex]
Add 2 to both sides
[tex]Answer:y=\frac{3}{2} x+8[/tex]
hope it helps!!
Which is longer, 2 feet or 18 inches?
Answer: 2 feet
Step-by-step explanation:
2 feet = 24 inches
24>18
Answer:
2 ft
Step-by-step explanation:
How do I start this problem? I don't need help with the graphing part.
Answer:
x = 6 , y = 0 (x , y) = (6 , 0)
x = 12, y = 3 (x , y) = (12 , 3)
x = 24, y = 9 (x , y) = (24 , 9)
Step-by-step explanation:
Simply plug in a x, and find a y that would make the equation true:
When x = 6:
6 - 2y = 6
6 (-6) - 2y = 6 (-6)
-2y = 0
(-2y)/-2 = (0)/-2
y = 0
When x = 6, y = 0 (x , y) = (6 , 0)
When x = 12:
12 - 2y = 6
12 (-12) -2y = 6 (-12)
-2y = -6
(-2y)/-2 = (-6)/-2
y = 3
When x = 12, y = 3 (x , y) = (12 , 3)
When x = 24:
24 - 2y = 6
24 (-24) - 2y = 6 (-24)
-2y = -18
(-2y)/-2 = (-18)/-2
y = 9
When x = 24, y = 9 (x , y) = (24 , 9)
~
Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.
Answer:
the answer is 6 :))))))))0
Step-by-step explanation:
What is 5 + 2x + 7 + 4x
Answer:
12+8x
Step-by-step explanation:
By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.
x=3y−5 2x+12y=-4 please solve the system of equations and show your work
sub x = 3y - 5 into equation 2
2(3y - 5) + 12y = -4
6y - 10 + 12y + 4 = 0
18y - 6 = 0
18y = 6
y = 6/18
y = 1/3
sub y = 1/3 into equation 1
x = 3(1/3) - 5
x = 1 - 5
x = -4
The volume of a cube is 125cm3.
If the cube were ice blocks, how many cubes would you need make 1KL of ice?
Answer:
8000 cubes
Step-by-step explanation:
Given that 1KL is 1 Kilo liters
Then conversion of 1KL to cm³ => 1,000,000 cm³
Therefore, since we have a cube to be 125 cm³
Hence, to find the number of cubes of ice blocks that would make 1KL
We divide 1,000,000 cm³ from 125 cm³
=> 1,000,000 ÷ 125
=> 8,000
Therefore, the correct answer is 8,000 cubes
A soda bottling plant uses automated filling machines to fill 2-liter bottles with soda. The plant can produce 8000 bottles of soda in an 8-hour shift. The plant’s quality manager wants to determine how well the process is operating. He takes a sample of 100 bottles from the bottling line and determines that on an average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters. The specification limits for a bottle of soda are 2.1 liters and 1.9 liters
Answer:
0.6892 = 68.92% of bottles are within specification.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
On average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters.
This means that [tex]\mu = 2.07, \sigma = 0.06[/tex]
The plant’s quality manager wants to determine how well the process is operating.
To do this, we find the proportion of bottles within specification.
The specification limits for a bottle of soda are 2.1 liters and 1.9 liters
This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.9. So
X = 2.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.1 - 2.07}{0.06}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915.
X = 1.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.9 - 2.07}{0.06}[/tex]
[tex]Z = -2.83[/tex]
[tex]Z = -2.83[/tex] has a pvalue of 0.0023
0.6915 - 0.0023 = 0.6892
0.6892 = 68.92% of bottles are within specification.
Carl has visited 49 of the 50 states.
What percent of the states has he visited?
Need help quick
Answer:
98%
Step-by-step explanation:
(3uv/2u²-2v²)+5uv/3u²+3v2
Answer:
19/6 u^3 v + v^2
Step-by-step explanation:
3uv2
u2−2v2+
5uv3
u2+3v2
=32
u3v+−2v2+53
u3v+3v2
Combine Like Terms:
=32
u3v+−2v2+53
u3v+3v2
= (3
u3v+
53
u3v)+(−2v2+3v2)
what is 3/10(x+2)=12
X=38
Hope I helped :]
Plz can anyone help me with my homework
Answer:
GFIH
Step-by-step explanation:
You read coordinates X and then Y
(X,Y)
1. G
2. F
3. I
4. H
Find the volume of the solid
Answer:
245 yd3
Step-by-step explanation:
Split the solid into two pieces, multiply length, width, adn height from there.
Answer:
The answer is: 245 yds cubed
Step-by-step explanation:
So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:
Height: 2 Length: 5 Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.
Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5 Length: 9 Width: 5.
So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.
Lastly, we will add the volumes of the two prisms together. 225+20=245.
The final answer is: 245 yds cubed
find the difference between 8n and (3n_6)
Please help me on this
125 is what percent of 200?
Answer:
125 is 62.5% of 200, hope this helps :)
Suma40grados 35 con
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ор
q' w
a' rty u
a s d f g h j k l ñ en español
Answer:
Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??
Step-by-step explanation:
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
10
91x
fix)
-
90
A. k=-3
B. K=-1
C. K=4
D. K=5
20 Points plz help
Adding K shifts the graph up that many units.
The vertex of f(x) is at y = -3
The vertex of g(x) is at y = 1
This as a 4 unit shift upwards.
K = 4
Find the distance between the points X and Y shown.
Answer:
5 units away
Step-by-step explanation:
1
Select the correct answer from each drop-down menu.
A= 2 6 -3
1-4 3
5 3 -5
The determinants of the minors of the first-row entries are
The determinants of the minors of the second-row entries are
The determinants of the minors of the third-row entries are
Answer:
||| First row: 11 -20 23 ||| Second row: -21 5 -24 ||| Third row: 6 9 -14 |||
Step-by-step explanation:
I wish I could explain it better, but all I did was plug it into matrix A on:
https://atozmath.com/matrix.aspx?q=minor
I pressed "find" without changing any of the settings, and scrolled down until I saw what was in the attached screenshot.
Each of the rows correspond to the first, second, and third answers, as you can see.
I hope this helps!
Factor out the
greatest common factor.
4x2 + 2x - 8
Answer:2(2x2+x−4)
Step-by-step explanation:
Factor 4x2+2x−8
4x2+2x−8
=2(2x2+x−4)
6x-1/2=1 solve this equation
Answer:
cross ❌ multiply
6x-1=2
6x=2+1
6x=3
divide both sides by 6
x=1/2
A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98 percent confidence interval for the population mean μ. The best point estimate for a confidence interval estimating the population μ is____ounces.
Answer:
The best point estimate for a confidence interval estimating the population μ is 16 ounces.
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The best point estimate for a confidence interval estimating the population μ is
The sample mean, so 16 ounces.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 102 - 1 = 101
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.36
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces
The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperature in degrees Celsius. To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function C(x)=x−273.15, where x is the temperature in degrees Kelvin. Find the composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit.
9514 1404 393
Answer:
F(x) = (9/5)x -459.67
Step-by-step explanation:
F(C(x)) = 9/5(x -273.15) +32
F(C(x)) = (9/5)x -459.67 . . . . . simplify
HURRY ASAP ?!?!?!?!?!?!?!?Which of the following is the inverse of
Answer:
[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5(x - 2)^3 + 4[/tex]
Required
Determine the inverse
[tex]f(x) = 5(x - 2)^3 + 4[/tex]
Replace f(x) with y
[tex]y = 5(x - 2)^3 + 4[/tex]
Swap the positions of x and y
[tex]x = 5(y - 2)^3 + 4[/tex]
Make y the subject
[tex]x -4= 5(y - 2)^3[/tex]
Divide by 5
[tex]\frac{x -4}{5}= (y - 2)^3[/tex]
Take cube roots of both sides
[tex]\sqrt[3]{\frac{x -4}{5}}= y - 2[/tex]
Add 2 to both sides
[tex]\sqrt[3]{\frac{x -4}{5}} +2 = y[/tex]
[tex]y = \sqrt[3]{\frac{x -4}{5}} +2[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds
12 more seashells on the beach, Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells,
Graph the solution set to this inequality.
1
0 1 2
3
4
5
6
7
8
9
10
He
Answer:
your answer will be [tex]d\geq 5.5[/tex]
Step-by-step explanation:
hope it helps