Answer:
m=40
Step-by-step explanation:
first write out the equation as shown:
-5+m/2=15
next, add 5 to both sides to isolate the term with the variable:
-5+5+m/2=15+5 which then simplifies to m/2=20
finally multiply both sides by 2 to get rid of the fraction and isolate the variable completely:
2(m/2)=(20)2 which simplifies to m=40
therefore, the solutiojn to this equation is m=40.
If a sample of 234 customers were taken from a population of 3620 customers, could refer to the variance of how many of the customers' ages?
If a sample of 234 customers were taken from a population of 3620 customers, s^2 could refer to the variance of how many of the customers' ages?
A. 234
B. 3620
C. Both 234 and 3620
D. Neither 234 nor
3620
Answer: 234
Step-by-step explanation:
Sample distribution = 234 customers
Population distribution = 3620 customers
S^2 which in statistics refers to the same variance utilizes the sample data in estimating the variance value of a population.
The sample variance is given by:
s^2 = (x - mean) / n - 1
where ;
n = number of observation in sample
s^2 = sample variance
mean = statistical mean of sample data
n - 1, is used to account for the bias in our estimation or inference of a population statistics from sample data.
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).
f(x) = -4(x − 8)2 + 3
g(x) = 3x2 + 12x + 15
(graph attatched= h(x) )
Answer:
1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3
2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15
3. x=3 is the line of symmetry of h(x), shown in the graph.
Step-by-step explanation:
To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero. This is a vertical line passing through the vertex of the second degree function.
1. f(x) = -4(x − 8)2 + 3
setting x=8 will give f(8) = 3, so x=8 is the line of symmetry
2. g(x) = 3x2 + 12x + 15
here, we need to complete the squares,
g(x) = 3x2 + 12x + 15
g(x) = 3(x^2+4x+5)
g(x) = 3(x^2 + 2(2x) +4 +1)
g(x) = 3((x+2)^2 +1)
So setting x=-2 will anihilate or cancel the squared term, therefore
x= -2 is the line of symmetry.
3. the curven shown in graph,
we see that the vertex is at x=3, so x=3 is the line of symmetry.
The axes of symmetry of the functions f(x), g(x), and h(x) will be x = 8, x = -2, and x = 3, respectively.
What is the axis of symmetry?Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.
Three capabilities are given underneath: f(x), g(x), and h(x).
f(x) = -4(x − 8)² + 3
The axis of symmetry of the function f(x) will be given as,
x − 8 = 0
x = 8
g(x) = 3x² + 12x + 15
Convert the expression into a vertex form.
g(x) = 3x² + 12x + 15
g(x) = 3(x² + 4x + 5)
g(x) = 3(x² + 4x + 4) + 3
g(x) = 3(x + 2)² + 3
The axis of symmetry of the function g(x) will be given as,
x + 2 = 0
x = −2
From the graph, the axis of symmetry of the function h(x) will be given as,
x = 3
More about the axis of the symmetry link is given below.
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BRAINLIEST! BRAINLIESTT!!!!!will mark BRAINlIEST, please help!!!
Answer:
2 and 4
Step-by-step explanation:
Answer:
2 and 4
Step-by-step explanation:
PLEASE HELP!!
LeBron buys 500 shares of Tiger Corporation for $10 a share. The corporation’s president is caught committing fraud and the stock drops to $3 a share. LeBron sells all his shares. How much can he take off his income as a capital loss this year?
Answer:
$3500 he can take off his income as a capital loss this year.
Step-by-step explanation:
Capital loss:
1. It is the loss realized when any investment's value gets decreased.
2. quantitatively it is the difference of price at which the invest is bought and price at which the investment is sold.
3. The condition for capital loss is that , selling price of investment should be less that buying price of same investment.
_________________________________________
Given
No. of shares bought = 500
cost of 1 share = $10
cost of 500 share = 500 *$10 = $5000
Thus, buying price of invest = $5000
Now price of share drops to $3 per share
thus total price of share now = 500*$3 = $1500
Thus, he sold his investment at $1500
capital loss incurred by him = $5000 - $1500 = $3500 (Answer)
Answer:
$3,000
Step-by-step explanation:
When you do the math your total comes out to $3500, but the most money that you are allowed to take of your income as a capital loss is $3000 so the answer is $3000.
what is the number which multiplied by itself gives 944.578756
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Simply square root the value to get your answer
[tex]\sqrt{944.578756} = 30.734[/tex]
Thus, your answer is 30.734
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
30.734
Step-by-step explanation:
Let the number be x.
x² = 944.578756
square root both sides of the equation.
√x² = √944.578756
x = 30.734
If x > 0 and y = 0, where is the point (x, y) located?
Answer:
if x>0 and y=0 the point is located on the x-axis
Answer:
x-axis on the right side
Step-by-step explanation:
the point (x,y) located on the x-axis
example x=1, y=0
The table represents the average daily price of a two-bedroom beachfront condo each month, with January represented as month 1, February as month 2, and so on. Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195 Use the graphing tool to determine the curve of best fit for this data. Write the equation of the curve in the space below.
Answer:
y = - 9.1768x2 + 122.2567x + 14.9091
Step-by-step explanation:
Given the following :
Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195
Using the online regression equation graphing tool ; The quadratic model obtained in the form,
y = Ax^2 + Bx + C is :
y = - 9.1768x2 + 122.2567x + 14.9091
Attached below is a picture of the quadratic regression curve.
Which statement illustrates the distributive property?
3 (4 + 5) = 3 (4) + 5
3 (4 + 5) = 3 (4) + 3 (5)
3 left-bracket (4) (5) right-bracket = 3 (4) + 3 (5)
3 left-bracket (4) (5) right-bracket = Left-bracket 3 (4) right-bracket + Left-bracket 3 (5) Right-bracket
Answer:
B. 3(4 + 5) = 3(4) + 3(5)
3 left-bracket (4) (5) right-bracket = 3 (4) + 3 (5)
3 left-bracket (4) (5) right-bracket = Left-bracket 3 (4) right-bracket + Left-bracket 3 (5) Right-bracket
Step-by-step explanation:
Distributive property of multiplication over addition:
a(b + c) = ab + ac
You have
3(4 + 5), so following the pattern above, you should get:
3(4 + 5) = 3(4) + 3(5)
Answer:
b
Step-by-step explanation:
I took the test
when would dividing the volume formula for a sphere by two be useful
Answer:
IF WE DIVIDE THE VOLUME OF SPHERE BY 20 WE WILL GET THE VOULUME OF HEMISPHERE
Step-by-step explanation:
WEN A QUESTION ARISES IN THE EXAMINATION TO FIND THE VOLUME OF HEMISSPHERE WE CAN FIND THE AREA OF THE SPHERE AND DIVIDE BY 2.
The turtle's distance from his starting point is increasing between seconds. The turtle's distance from his starting point is constant between seconds. The turtle's distance from his starting point is decreasing between seconds.
Answer: 10 seconds, decreasing, standing still,
Step-by-step explanation:
I need help on this asap please
Answer:
450m^2
15m x 10m = 150m^2
20m x 30m = 600m^2
600m^2 - 150m^2 = 450m^2
Answer:
I got ;
900m^2Step-by-step explanation:
[tex]The -diagram-can-be-divided-into-two-rectangles\\\\RECTANGLE - 1\\Length = 30m\\Breadth = 20m\\Area = Length * Breadth \\A = 30*20\\A =600 m^2\\\\RECTANGLE-2\\Length = 20m\\Breadth = 15m\\Area = Length * Breadth\\A = 20 *15\\A =300m^2\\\\Total -area-of-the-playground :\\600m^2 +300m^2\\= 900m^2[/tex]
A man wants to cut down a tree in his yard. To ensure that the tree doesn't hit anything, he needs to know the height of the tree. He measures his distance from the tree at 11 meters and the angle of elevation to the tree at 61 degrees. What is the height of the tree to the nearest tenth of a meter?
Answer:
19.8m
Step-by-step explanation:
In the attached diagram:
The man's eye level is at point A, The height of the tree is BC.The angle of elevation at A is 61 degrees.The distance of the man at A to the tree BC is 11 meters.This forms the right triangle ABC.
We want to determine the height labeled h.
Using Trigonometry:
[tex]\tan \theta =\dfrac{BC}{AB}\\ \tan 61^\circ =\dfrac{h}{11}\\h=11 \times \tan 61^\circ\\h=19.8$ m[/tex]
The height of the tree is 19.8 meters to the nearest tenth of a meter.
Select the correct answer from each drop-down menu. What types of insurance should Selina purchase given her situation? Selina wants to cover the loss of potential damages to her house in case of a natural calamity, such as a tornado. So, she should purchase a ___ insurance policy. She is also quite concerned about her dog’s health. To be on the safe side, she should also buy a ___ insurance policy.
1.
a. Homeowners
b. Disability
c. Automobile
2.
a. Pet
b. Life
c. Health
Answer:
1. Homeowners insurance policy
2. Pet insurance policy
Step-by-step explanation:
Homeowners' insurance policy is an insurance policy that covers the damages made to an insured place of residence. The insurance company takes care of damages that occur inside, and outside the house. Damaged furnishing as well as accidents that occur within the house are also catered to by the insurance company. The policyholder pays a deductible out of the total amount of money for the claims of damages while the insurance company takes care of the additional cost. So Selina would resort to a homeowners' insurance policy for her house so as to cover the loss in case of a natural calamity.
The Pet insurance policy also takes care of the veterinary costs of pets just in case they fall ill or suffer any other accidents. Selina would buy a pet insurance policy to take care of this potential problem.
Answer:
Selina wants to cover the loss of potential damages to her house in case of a natural calamity, such as a tornado. So, she should purchase a 1. homeowners insurance policy. She is also quite concerned about her dog’s health. To be on the safe side, she should also buy a 2. pet insurance policy.It takes 6 hours to reach London from Minneapolis. Amanda took a flight to London from Minneapolis and reached at 7:15 pm London time. At what time did she depart Minneapolis at London time?
i will mark as brainliest
please explain I will mark as brainliest
Answer:
1:15 pm
Step-by-step explanation:
It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so
7:15 - 6 = 1:15
Helppp!!!! please!!!
Answer:
...........................
Which is a complete list of factors of each term in the expression 15 + 20x?
Answer:
Step-by-step explanation:
Our term is 15+20x
we can divide it to : 15 and 20x
15 : it can be divided by 1 , 3 , 5 , 15so the factors are : (1,3,5,15)
20x : to make it easy start with 2020 can be divided by : 1 , 2 , 4 ,5 ,10 , 20
then add x :so the factors of 20 x are :
1 , 2 , 4 , 10 , 20 , x , 2x , 4x , 5x , 10 x , 20x
Answer:
15: 1, 3, 5, 15
20x: 1, 2, 4, 5, 10, 20, x ^_^
Step-by-step explanation:
**30 POINTS PLS HELP** A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
Sample 1 :4
Sample 2:1
Sample 3:9
******What can the rancher conclude from these samples about how many sheep graze on each acre of the 40-acre pasture? (PLS ANSWER THIS PORTION.)*********
250/40 = 6.25 or 6 sheep per acre
n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50
multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75
divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125
square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid
value 95% confidence 1.96.
Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of errorSample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of erroR
Answer:
250/40 = 6.25 or 6 sheep per acre
n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50
multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75
divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125
square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid
value 95% confidence 1.96.
Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of errorSample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of erroR
Step-by-step explanation:
Perez’s Ski Shop made a profit of $32,000 last year. This year, the profits are 250 percent of last year’s profits. How much of a profit did Perez’s Ski Shop make this year? $8,000,000 $80,000 $40,000 $32,800
Convert 250% to 2.5, and then mult. $32000 by 2.5:
2.5($32000 in profits) = $80000
Just Look at the picture! Not clickbait! Also why would I give you a clickbait picture?
Which of the following show the expanded and simplified version of the expression
g(x) = 6(x + 2)2 + (x - 3)(x - 5)
a) 5x² + 16x +39
Ob) 7x² + 32x +39
Oc) 7x² + 16x +39
d) 7x² + 32x +9
Answer:
c) 7x² + 16x +39
Step-by-step explanation:
g(x) = 6(x + 2)² + (x - 3)(x - 5)
g(x) = 6(x² + 2*2x + 2²) + (x² - 3x - 5x + 15) =
= 6x² + 24x + 24 + x² - 8x + 15 = 7x² + 16x + 39
Anthony recorded the heights and weights of the 15 boys in his class. Then he drew the scatter diagram shown below using the information.
Answer:
a)(140,57)
b)positive correlation
c)155cm (Give or take)
Step-by-step explanation:
a) find the outlier which doesn't follow the pattern as the rest
find the coordinates.(140,57)
b)all of the results follow a positive pattern when weight increases so does the height.
c)draw a line of best fit and draw a line from 45kg out to that line and follow I'd down towards weight to find an estimated amount.
hope this helps
The outlier point is (140,57), the correlation type is a positive correlation and the estimated height of the student is 154 cm
The outlierThis is the point that is far from other points in the scatter plot.
From the given graph, the point (140,57) is far from others.
Hence, the outlier point is (140,57)
The correlation typeFrom the graph, we can see that the points increase towards the right.
This represents a positive correlation
Hence, the correlation type is a positive correlation
Estimated height of a student
The weight is given as:
Weight = 45 kg
From the graph, the closest points to y = 45 are
x = 148, 153, 156 and 158
The mean of these values is 154.
Hence, the estimated height of the student is 154 cm
Read more about scatter plots at:
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an arc of length 8in. is intersected by a central angle in a circle with a radius of 3 in. what is the measure of the angle? round your answer to the nearest tenth
A) 0.4 radian
B) 1.0 radian
C) 2.7 radians
D) 5.0 radians
Answer:
C.
Step-by-step explanation:
2.7 radians
Answer:c
Step-by-step explanation:2.7 radians
Find the solution set for the following equation. [tex]-\sqrt(x)=5[/tex]
Answer:
Solution set = {25}
Step-by-step explanation:
=> [tex]-\sqrt{x} =5[/tex]
Dividing both sides by -1
=> [tex]\sqrt{x} = -5[/tex]
Taking square on both sides
=> x = 25
Solution set = {25}
Answer:
25
Step-by-step explanation:
use the substitution method to solve the system of equations choose the correct ordered pair. 2x+2y=16 y=x-4
Answer:
(6, 2)
Step-by-step explanation:
Step 1: Substitute y in the 1st equation
2x + 2(x - 4) = 16
Step 2: Solve for x
2x + 2x - 8 = 16
4x - 8 = 16
4x = 24
x = 6
Step 3: Plug in x to find y
y = 6 - 4
y = 2
The population of a large city can be calculated using the function . What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10
Answer:
The rate of change will be the same for all years.
Step-by-step explanation:
As it is mentioned in the question, that the rate of change is 7%.
And as we know that
= I (1 + R)^T
where
I = Initial amount
R = Rate of growth,
And T = Time.
So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.
Therefore the rate of change would be the same for all the year
Which type of transformation is shown? The transformation is a
The $200 dryer was on sale for $180. What was the percent of discount?
Answer:
10%
Step-by-step explanation:
Case/Solve 1:
OG price is $200
Reduced price is $180
$20 difference
20/200 = 1/10 => convert 1/10 to a decimal
10%
Case/Solve 2:
180/200 = 0.9
0.9 converted to a decimal is 90%
100% - 90% = 10% =>
10%
Hope This Helps!
Answer:
10% discount
Step-by-step explanation:
Take the original price and subtract the new price
200-180 = 20
Divide by the original price
20/200 = .1
Change to percent form
10%
HELP ASAP Linear Equations
Answer:
4th choice: I and IV only
Step-by-step explanation:
Change the form of the given equation to standard form.
y = -2/3 x + 2
3y = -2x + 6
2x + 3y = 6
Now compare this equation with the 4 choices.
Any equation that has the same x- and y-terms but a different constant term is parallel.
I. is parallel.
II. and III. are not parallel.
Look at IV.:
4x + 6y = 3
Divide both sides by 2:
2x + 3y = 3/2
IV. is also parallel.
Answer: 4th choice: I and IV only
Answer:
I and IV only
Step-by-step explanation:
In order for graphs to be parallel, they must have the same slope
In this case, we are looking for a slope of -2/3
We can find the other slopes by solving for y (y=mx+b)
I. 2x+3y=10
Subtract 2x from both sides
3y=-2x+10
Divide by 3
y=-2/3+10/3 This works since the slope is identical
II. 2x-3y=9
Follow a similar progression as the previous (subtract the x's and divide the y's)
-3y=-2x+9
y=2/3=3 This doesn't work since it is positive
III. 4x-6y=30
-6y=-4x+30
y=2/3 x-5 (4/6 simplified to 2/3) Also doesn't work since it is positive
IV. 4x+6y=3
6y=-4x+3
y=-2/3x+3 (-4/6 simplified to -2/3) This one works, it is identical
Which of the following is the equation of the function below?
Answer:
The answer is D
Step-by-step explanation:
y=2sec[2(x+pi)]-2 is correct on edg 2020. Also if you plug this equation into a graphing calculator the graph at the top shows up
Answer:
d
Step-by-step explanation:
If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Answer:
[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]
Step-by-step explanation:
Hello,
a and b are the zeros, we can say that
[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]
So we can say that
[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]
Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b
for instance we can write
[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]
and we can notice that
[tex]a^2+b^2=(a+b)^2-2ab[/tex] so
[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]
it comes
[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]
multiply by 3
[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]
A cylindrical tank has a diameter of 2.5 feet and a height of 4.8 feet. what is the lateral surface area of the tank to the nearest hundredth square foot?
Answer:
This is approximately [tex]37.7 ft^{2}[/tex] to the nearest hundredth
Step-by-step explanation:
First of all, we will need to understand that to find the lateral surface area of the cylinder, we simply need to multiply the circumference of the circular base by the height of the cylinder.
In this case, the circumference of the circular base can be obtained by the formula
[tex]2 \pi r[/tex]
Hence we will have the circumference as [tex]2 \times \pi \times \frac{2.5}{2}=7.85 feet[/tex]
Tp get the Lateral area, we will simply have to multiply this value (7.85 feet )
by the height (4.8 feet)
7.85 X 4.8 =[tex]37.68 feet ^{2}[/tex]
This is approximately [tex]37.7 ft^{2}[/tex] to the nearest hundredth
