Answer:
b. 4(3x + 5)(3x - 5)
Step-by-step explanation:
Recall difference of squares general formula as a² - b² = (a+b)(a-b)
Looking at the question we have 36x² - 100
Looking at the given answer choices we see there is some factor multiplied through the difference of squares, so we pull out the greatest common factor from the question to get 36x² - 100 = 4(9x² - 25). Now apply difference of squares where a² = 9x² and b² = 25 to get a = 3x and b = 5. Now the equation becomes b. 4(3x + 5)(3x - 5)
You can perform 6 push-ups in 24 seconds. Write and
graph an equation that represents the relationship
between time and the number of push-ups. At this rate,
how many pushups can you perform in 2 minutes?
PLS HURRY!!!
Answer:
480 push ups
Step-by-step explanation:
24/6 = 4
meaning they are doing 4 push ups per second, this is your slope
the equation of your line is y = 4x, you can graph this using a table of values (i attached a graph tho)
2 minutes = 120s
y = 4(120)
y = 480
find the area of a circle if its circumference is 10 pi
Answer:
25π
Step-by-step explanation:
pi's symbol is π, which will be used sometimes to make it easier later
The circumference is equal to diameter multiplied by pi. (Diameter is the length across the circle, radius the center of the circle to an edge point aka. half the diameter, and circumference is the edge length aka. perimeter of the circle.)
We can then remove the pi off the 10, as the diameter multiplied by pi is the circumference, so the diameter is 10.
Half of 10 is 5, the radius.
The formula for area of a circle is radius squared times pi, remember easily by π r ^2
We can plug in the radius into the formula to get
π 5 ^2
And finish it by solving the square root to get
π 25
25π
Coffee cans are to be filled with 16 oz. of coffee. The mean content of cans filled on a production line is monitored. It is known from past experience that the contents have a Normal distribution with a known standard deviation of 0.1 oz. A sample of 9 cans is taken every hour and their mean content is measured
a) Set up the hypotheses to test whether the mean content is 16 oz. Should the alternative be one-sided or two-sided? Why?
b) Give a decision rule in terms of the sample mean for a 0.05-level test.
c) If the true mean content during that the test derived in (b) will correctly detect this deviation from the target value of 16 oz? particular period is 16.1 oz., what is the probability
Answer:
a) H0: μ= 16 against the claim Ha: μ≠ 16
b) H0 will be rejected if it does not lie in the interval [15.934; 16.065 ]
c) 0.8531
Step-by-step explanation:
a) The null and alternate hypothesis are
H0: μ= 16 against the claim Ha: μ≠ 16
The test chosen is two sided because the cans have more or less content than 16 oz.
b) Here n = 9 , σ= 0.1 and α 0.05 and z∝/2 = ± 1.96
z∝/2 = x − µ/ σ/√n
z ∝/2= x-16/0.0333
± 1.96 *0.33= x-16
± 0.0653= x- 16
or x= 16± 0.0653
x= 15.934; 16.065
H0 will be rejected if it does not lie in the interval [15.934; 16.065 ]
c) The probability can be computed by transforming x into z
z= x-µ/ σ/√n
z= 15.934-16.1 /0.1/√9
z= [−4.95]
z2= x-µ/ σ/√n
z= 16.065-16.1 /0.1/√9
z2=[ −1.05]
P (15.934<x< 16.065 )= P (−4.95, −1.05)
=P ( z < −4.95 ) + P ( z > −1.05)
= 0+ 0.3531+0.5
= 0.8531
Look at the cylinder.
The cylinder is sliced in half, as shown by the dotted line.
Which shape is the cross section that is formed?
circle
cone
O rectangle
O sphere
rectangle for sure my teacher told me
Awnsers for 10, 11 and 12!
WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
(2, -1)
Step-by-step explanation:
because that's where the lines intersect
Harry’s tv plan cost 49.99 per month plus 3.49 per first run movie how many first run movies can he watch if he wants to keep his monthly bill to be a maximum of 100
Answer:
He can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.
Step-by-step explanation:
Given that Harry’s TV plan cost $ 49.99 per month plus $ 3.49 per first run movie, to determine how many first run movies can he watch if he wants to keep his monthly bill to be a maximum of $ 100, the following calculation must be performed:
100 - 49.99 = 50.01
50.01 / 3.49 = X
14.32 = X
49.99 + (3.49 x 14) = 98.85
Thus, he can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.
Please help me I need help with this as quick as possible my dad is right next to me...
Answer:
there isnt a question... what do you need help with?
Answer:
.-. >_>
Step-by-step explanation:
Need answer asap, will give brainliest.
Answer:
Translation
Step-by-step explanation:
Vertical and horizontal translation
I will give brainliest
You want to put a stake every metre around the perimeter of a square plot that measures 100 metres on every side. How many stakes will you need?
The number of stakes that you need to be required should be 400 stakes.
Calculation of the number of stakes:Since You want to put a stake every metre around the perimeter of a square plot that measures 100 metres on every side.
So here the square does have 4 sides
So,
= 100 (4)
= 400
hence, The number of stakes that you need to be required should be 400 stakes.
Learn more about perimeter here: https://brainly.com/question/24891826
Admission to the carnival is $10 plus $2 per ride. John spent $38 on admission and
rides. Write and solve an equation to find how many rides John went on.
Answer:
he went on 14 rides.
Step-by-step explanation:
take your total, 38, subtract that by 10 (because you have to pay the admission fee) and you have 28 dollars spent on rides. each ride costs 2 dollars so divide 28 by 2 and you get 14.
I need the answer please for a and b
Step-by-step explanation:
2x + x+4+x = 180
4x = 176
x = 44
A 88
B 48
C 44
plz help me on this question
Step-by-step explanation:
Given
Alec has a 95% chance of passing
Joe has a 25% chance of passing
(a)Probability of passing both is
[tex]P=0.95\times 0.25=0.2375[/tex]
(b)Probability of both failing
[tex]P=(1-0.95)\cdot (1-0.25)=0.05\times 0.75\\P=0.0375[/tex]
(c)Joe Passes and Alec fails
[tex]P=(1-0.95)\cdot 0.25=0.05\times 0.25\\P=0.0125[/tex]
(d) Alec passes and Joe fails
[tex]P=0.95\times (1-0.25)=0.95\times 0.75\\P=0.7125[/tex]
Ling and her family ordered takeout that cost $50. Ling paid 4% sales tax and left a 10% tip
Answer:
$47
Step-by-step explanation:
Given data
Cost= $50
Tax= 4%
Tip= 10%
Let us find the amount of the Tax
=4/100*50
=0.04*50
=$2
Let us find the amount of the Tip
=10/100*50
=0.1*50
=$5
Hence the total amount is
=50+2-5
=52-5
=$47
6 friends are selling crafts at a show. They each need to pay $7.20 to cover the table rental. They each sell 3 items. If every item is the same price, and the 6 friends make a total of $25.20, what was the sale price of each item?
Answer:
$1.00
Step-by-step explanation:
The sales price of the items sold by the 6 friends given the total amount made is $1.40.
What is the sales price?In order to determine the sales price, divide the total amount made by the total amount of the items sold
Sales price = $25.20 / (6 x 3) = $1.40
To learn more about division, please check: https://brainly.com/question/13281206
help me please:(**********
Answer:
11.7
Step-by-step explanation:
First HK can be found via Pythagorean Theorem
6^2 + 10^2 = 36 + 100 = 136
The square root of 136 is (rounded to the nearest tenth): 11.7
GJ is congruent to HK
GJ = 11.7
it's all in the photo pls help.
Answer:
Answer B
Step-by-step explanation:
A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale. How many cups of flour does Henry need? can someone tell me the qestion
I hope this helps you answer your question.
PLSS HELP ASAP! Only answer if you know pls I'm running out of points & no links to other sites or ill report you
Answer:
90-35=55
x=55
Step-by-step explanation:
Answer:
x = 55
Step-by-step explanation:
x and 35 must = 90 degrees because of the Angle Addition Postulate. So if you subtract 90 and 35, you get x.
Need help quick!!!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven is graphed how fast did
the truck consume it’s fuel
Answer:
can you plz picture the graph so my answer you correctly .
Bill is renovating this house.
Bill measures the length of the front of the house.
The length is most likely to
1.440 m
O
14,40 m
14.40 mm
144.0 m
1440 mm
Scroll to read more »
9514 1404 393
Answer:
14.40 m
Step-by-step explanation:
A typical suburban home site in the US might have a width between 15 and 50 meters. So, the front of Bill's house is most likely to be about 14.4 m, of the choices offered.
80 percent of x is equal to 100
What is x?
Answer:
125
Step-by-step explanation:
[tex]80\% \: of \: x = 100 \\ \\ 0.8x = 100 \\ \\ x = \frac{100}{0.8} \\ \\ x = 125[/tex]
SOMEONE PLEASE HELP!!!!
Answer:
ijhofhoiffho[hoi[hjkkhj
Step-by-step explanation:
e3gyqi3rqrqugrqugfugfufgfiohwefuohfewihuiu
You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground, h_o. How much time does your opponent have before the ball hits the ground on the other side of the net, h(t)? Use h(t) = -5t^2 + v_0t + h_0 where h(t) is the height of a tennis ball being hit h_0 is the initial height v_0 is the velocity in meters/second after time (t) in seconds
Answer:
here
Step-by-step explanation:
Solving a quadratic equation, it is found that your opponent has 5.08 seconds to react before the ball hits the ground on the other side of the net.
What is the quadratic equation for the ball's height?It is given by:
[tex]h(t) = -5t^2 + v_0t + h_0[/tex]
In which:
[tex]v_0[/tex] is the initial velocity of the ball.[tex]h_0[/tex] is the initial height of the ball.You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground, hence [tex]v_0 = 25, h_0 = 2[/tex].
Then, the equation is:
[tex]h(t) = -5t^2 + 25t + 2[/tex]
It hits the ground when h(t) = 0, hence:
[tex]-5t^2 + 25t + 2 = 0[/tex]
The solutions are h = 5.08 and h = -0.08.
Since time is a positive measure, your opponent has 5.08 seconds to react before the ball hits the ground on the other side of the net.
More can be learned about quadratic equations at https://brainly.com/question/24737967
What is the r-value of the following data, to three decimal places?
х
у
4
26
5
11
8
13
9
2
13
1
Answer:
The answer is -0.828
Step-by-step explanation:
I took the quiz and i gt this question correct, hope it helps!
The r-value of the given data is 0.374.
What is a correlation coefficient?The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.
It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.
We have,
First, we need to find the correlation coefficient (r) of the given data.
We can use the following formula to do this:
r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]
where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.
Using the given data, we can calculate the values as follows:
n = 5
∑x = 39
∑y = 53
∑(xy) = 442
∑x^2 = 483
∑y^2 = 1249
Substituting these values into the formula, we get:
r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]
r = [2210 - 2067] / [√(2415) √(5660)]
r = 143 / (61.898 75.245)
r = 0.374 (rounded to three decimal places)
Therefore,
The r-value of the given data is 0.374.
Learn more about correlation coefficient here:
#SPJ7
Find the surface area of the number cube below.
Answer:
Surface area = 24 in.²
Step-by-step explanation:
Surface area of the cube = 6a²
Where,
a = length of the each side of the cube = 2 in.
Plug in the value into the formula
Surface area of the cube = 6(2²)
= 6 × 4
Surface area = 24 in.²
What value of x would make lines land m parallel?
Answer:
[tex]x = 75[/tex]
Step-by-step explanation:
Given
See attachment
Required
The value of x that makes l and m parallel
Let the angles be ABC (See attachment 2)
[tex]\angle CAB[/tex] is corresponding to 50 degrees. So:
[tex]\angle CAB=50[/tex]
[tex]\angle ABC[/tex] is corresponding to 55 degrees. So:
[tex]\angle ABC = 55[/tex]
This means that:
[tex]\angle ABC + \angle CAB + x = 180[/tex]
[tex]50 +55 + x = 180[/tex]
Solve for x
[tex]x = 180 - 50 - 55[/tex]
[tex]x = 75[/tex]
Will give brainlst
Have a nice day
Answer and Step-by-step explanation:
The answer is 5 units.
This is because the slope of that line is 2.5, and diagonal 2.5 units twice.
#teamtrees #PAW (Plant And Water)
Help me pls. You will get a lot of points
Answer:
2y = 7
y = 3 1/2
Step-by-step explanation:
Find the area of the kite.