Answer:
D
Step-by-step explanation:
If f(x) = 4x ^ 2 - 3 and g(x) = x + 1 , find (f - g)(x)
A. 4x ^ 2 - x - 2
B. x - 4x ^ 2 - 2
C. 4x ^ 3 - 3
D. 4x ^ 2 - x - 4
(f - g)(x) = f(x) - g(x)
4x ^ 2 - 3 - (x + 1 ) Multiply the brackets by the negative.
4x ^ 2 - 3 -x - 1 Add like terms.
4x ^ 2 - x - 4 Final Answer
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]
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
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
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
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
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
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
If a cylinder has a height of 5 and a volume of 98, what is the radius to the nearest tenth?
Answer:
r ≈ 2.5
Step-by-step explanation:
98 = 5(πr^2)
divide 5 by both sides
19.6 = πr^2
divide π by both sides
6.2388 = r^2
square root both sides
r = 2.49777
r ≈ 2.5
Population The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. If this rate of increase continues, what will be the approximate world population in 2050?
Answer:
Population in 2050 = 11,369,600,000
Step-by-step explanation:
Given:
Population in 2000 = 6,080,000,000
Rate of increase = 1.26%
Find:
Population in 2050
Computation:
Number of year = 50
Population in 2050 = Population in 2000[1+r]ⁿ
Population in 2050 = 6,080,000,000[1+1.26%]⁵⁰
Population in 2050 = 6,080,000,000[1.87]
Population in 2050 = 11,369,600,000
Find the area of the kite.
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
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
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]
5(2x+1)=50
how do i find x
Answer: 4.5
Step-by-step explanation:
[tex]5(2x+1)=50\\\\2x+1=10\\\\2x+9\\\\x=\boxed{4.5}[/tex]
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.
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
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.
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.
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
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.
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:
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.
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)
The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot. A 4-column table has 3 rows. The first column has entries third-row seats, no third-row seats, total. The second column is labeled 4-wheel drive with entries 18, 7, 25. The third column is labeled no 4-wheel drive with entries 12, 28, 40. The fourth column is labeled total with entries 30, 35, 65. What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?
Answer:
a. 0.3
Step-by-step explanation:
The probability that a randomly selected car with no 4-wheel drive has third-row seats is 0.3 option (A) 0.3 is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Let's suppose A is the car with no 4-wheel drive
Let's suppose B is the car with third-row seats
As we know,
P(B|A) = n(A ∩ B)/n((A)
The probability that a randomly selected car with no 4-wheel drive has third-row seats:
From the table:
n(A ∩ B) = 12
n((A) = 40
P(B | A) = 12/40
P(B | A) = 0.3
Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is 0.3 option (A) 0.3 is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ6
7 cups converted to fluid ounces.
No links they don’t work
it's all in the photo pls help.
Answer:
Answer B
Step-by-step explanation:
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
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 .
Help me pls. You will get a lot of points
Answer:
2y = 7
y = 3 1/2
Step-by-step explanation:
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