Answer:
B (-2x - 3 )(x - 7) = (x - 7)(-2x - 3 )
Step-by-step explanation:
y = -2x² + 11x + 21
find x when y is zero (the ground)
(-2x - 3 )(x - 7) = 0
(-2x - 3 ) = 0, (x - 7) = 0
x = -1.5 and x = 7 since Jon did not throw the ball behind him (remember he is standing on a platform) the only possible answer is 7 feet in front of him, but they the question didn't ask for x, so I would answer B. The answer I got and multiplicans are in reverse order from their choice.
The factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground is (x-7)(-2x-3)
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² +bx+c=0. with a ≠ 0 .
Given that Jon throws a ball into the air off a platform.
The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21
y= -2x² + 11x + 21.
Let us factor out the equation by quadratic equation
-2x² + 11x + 21
When we factor out the equation becomes as (x-7)(-2x-3)
Let us verify the solution by applying distribution property
-2x²-3x+14x+21
-2x²+11x+21
Hence, (x-7)(-2x-3) is the factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground.
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what is the volume of the rectangular prism shown below?
Answer:
48
Step-by-step explanation:
times 4 times 3 times 4 + 48
K Write an expression for the sequence of operations described below. add y to z, then multiply 3 by the result
Answer:
3(y+z)
Step-by-step explanation:
y+z is added first so it is in parentheses and then multiply by the 3
I need help with this math problem don't know how to do it.
Answer:
40
Step-by-step explanation:
The shape is a parallelogram.
formula = A = bh
b = 10
h = 4
10 x 4 = 40
Hii!! Please help me out. To help me understand the answer just say exactly which part I'm putting the number in and stuff.
Answer:
y = 4;
y = 7;
x = 6
Step-by-step explanation:
Given the rule, y = x/2, find the missing values as shown below:
✔️For the first row, to find y, substitute x = 8 into y = x/2,
y = 8/2
y = 4
✔️For the second row, to find y, substitute x = 14 into y = x/2,
y = 14/2
y = 7
✔️For the third row, to find x, substitute y = 3 into y = x/2,
3 = x/2
3*2 = x
6 = x
x = 6
The pitch P of a musical tone varies inversely as its wavelength w. One tone has
a pitch of 321 vibrations per second and a wavelength of 10.5 feet. If another
tone has a pitch of 374 vibrations per second, what is its wavelength?
Answer:
The wavelength of the second pitch is 12.23 feet.
Step-by-step explanation:
Since the pitch P of a musical tone varies inversely as its wavelength w, and one tone has a pitch of 321 vibrations per second and a wavelength of 10.5 feet, if another tone has a pitch of 374 vibrations per second, to determine what is its wavelength the following calculation must be performed:
321 = 10.5
374 = X
374 x 10.5 / 321 = X
3927/321 = X
12.23 = X
Therefore, the wavelength of the second pitch is 12.23 feet.
Melody paid for a scarf with a ten dollar bill her change was two dollar three quarters and two dimes how much was the scarf
Answer:
Step-by-step explanation:
10 -2.95 = 7.05
the scarf cost $ 7.05
Answer:
4456646
Step-by-step explanation:
its that bc we add
Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the letters of the word DANCER be arranged in a row? Since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with elements. So the answer is . (b) How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit? (c) How many ways can the letters of the word DANCER be arranged in a row if the letters NCE must remain together (in order) as a unit?
Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given
[tex]Word = DANCER[/tex]
[tex]n =6[/tex] --- number of letters
Solving (a): Number of arrangements.
We have:
[tex]n =6[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =6![/tex]
This gives:
[tex]Total =6*5*4*3*2*1[/tex]
[tex]Total =720[/tex]
Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:
[tex]n = 5[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =5![/tex]
This gives:
[tex]Total =5*4*3*2*1[/tex]
[tex]Total =120[/tex]
Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:
[tex]n = 4[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =4![/tex]
This gives:
[tex]Total =4*3*2*1[/tex]
[tex]Total =24[/tex]
Consider the figures shown to answer Part A and Parts B.
Which figures have a volume greater than 600 cubic inches?
Select all that apply.
A. Cylinder #1
B. Cone #1
C. Cylinder #2
D. Cone #2
E. Sphere
volume of sphere is 4.8 times the volume of cone (1).
A). Options (C) and (E) is correct.
B). 4.8 times
To choose the figure.
What is mensuration?The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.
Given that:
Part A
Volume of cylinder (1) = πr²h
= π*(6)²*(5)
= 565.5 cubic inches
Volume of cone (1)=π*r²*h/3
=π*6²*5/3
= 188.5 cubic inches
Volume of sphere =4π*r²*r/3
=4π*6²*6/3
= 904.8 cubic inches
Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.
Part (B)
Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8
Therefore, volume of sphere is 4.8 times the volume of cone (1).
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Help please?
51c^3 -34 c
A couple's anniversary dinner bill was $126.50. They tipped their waiter 20% of the bill. What was the total bill including tip?
Answer:
$151.80 was the total bill including tip.
Step-by-step explanation:
$126.50 x 20% = $25.30
$126.50 + $25.30 = $151.80
5,8, 21, 17, 10, 11,5
What is the median of the set of numbers?
Answer:
10
Step-by-step explanation:
Rearrange in order, 5, 5, 8, 10, 11, 17, 21 and the median would be 10.
What is the value of the second quartile
Answer:
the value is 20 out of 100
Step-by-step explanation:
Plzzzzzzzzzzzzzzzzzzz help
Answer:
25
Step-by-step explanation:
1/2 b h
1/2×10×5=25
so i guess the ans is 25 thats all I know
u take 1/2 base ×height
A:Consecutive interior angles
B:Vertical angles
C:Alternate exterior angles
D:Corresponding angles
Answer:
D: corresponding angle
hope it helps.
Answer:
corresponding angles
Step-by-step explanation:
hope it is helpful ><
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.02, can you reject the company's claim? Complete parts (a) through (e).
Answer:
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Step-by-step explanation:
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim.
At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:
[tex]H_o: \mu = 35[/tex]
And at the alternate hypothesis, you test if the content is different from 35, so:
[tex]H_a: \mu \neq 35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
35 is tested at the null hypothesis:
This means that [tex]\mu = 35[/tex]
During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.
This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]
[tex]z = 1.35[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.
Looking at the z = -1.35 has a pvalue of 0.0885
2*0.0885 = 0.177
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
It's Pythagorean theorem
Answer:
6root3
Step-by-step explanation:
Answer:
6 radical 3
Step-by-step explanation:
Find the difference quotient
f(x+h)-f(x)
h
and simplify.
f(x) = -9x + 2
-9h
0-9h+4
Help ASAP no links
Answer:
-9
Step-by-step explanation:
This is the function of derivative by definition. Which means f(x+h)-f(h)/h=f’(x).
f(x)=-9x+2
f’(x)=-9
Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b
Answer:
-8/1
Step-by-step explanation:
Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.
Here's another example:
If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.
Box Plot for Problem #12
If a cone has a height of 16 feet and a volume
of 603.19 cubic feet, find the length of its
diameter.
Please, I need help Try to explain if you can
Answer:
it the last choice
Step-by-step explanation:
you simply put the the x value and solove
The net of a triangular prism is shown
below.
8.5 cm
10 cm
10 cm
10 cm
What is the total surface area of the prism?
A 470 cm?
C 390.5 cm?
B 385 cm
D 342.5 cm
Answer:
i think a.... sorry if im wrong
Step-by-step explanation:
[tex]\boxed {\boxed {prove : \: 3 \: is \: greater \: than \: 5 }} [/tex]
3 has more letters than 5. Hence 3 is greater than 5
At Gabrielle's Restaurant, 2/5 of the dishes on the menu are vegetarian, or the vegetarian
dishes, 3/4 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta
dishes?
Use the graph of the polynomial function. What are the zeros
Of the polynomial
A{-2}
B{3,-1,4}
C{-3,1,4}
D{2}
Answer:
B
Step-by-step explanation:
Whenever the curved line touches the x-axis that will be the zeros of the function.
How do I do number 2 and 4 please help
Answer:
2: 176.8mm
4: ?
Step-by-step explanation:
2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8
4: I can't see the problem, sorry :(
Answer:
2. 2461.8
4. 86.6
Explanation:
your formula for area is pi×radius^2
you are using 3.14 for pi
and your radius is half way across the circle or half the diameter.
2. 3.14×(28)^2
3.14×784
=2461.8
4.This one shows the diameter so you have to divide it by 2 first.
10.5/2=5.25
radius=5.25
3.14×(5.25)^2
3.14x27.5625
=86.6
I ROUNDED BOTH ANSWERS AT THE END
An object has a weight of 6.4 N.
Calculate the mass of the object.
Use the equation
mass = weight = gravitational field strength (g)
gravitational field strength = 9.8 N/kg
Answer:
Step-by-step explanation:
We can do this quite simply by using Newton's equation: forcegravity = G × M × mseparation2 .
Suppose: your mass, m, is 60 kilogram; the mass of your colleague, M, is 70 kg; your centre-to-centre separation, r, is 1 m; and G is 6.67 × 10 -11 newton square metre kilogram-2.
PLEASE HELP FAST
What is the probability of rolling two dice and getting a sum that is a multiple of 5 or
rolling doubles (dice land on the same number)?
Answer:
1/3
Step-by-step explanation:
Look in the figure and circle all double rolls and all sums that equal 10.
See pic below. Then count them. There are 12.
12/36 = 1/3
Melanie earns $97.50 in 6 hours. Earl earns $296.00 in 20 hours. Who earns the higher rate per hour? Explain your answer.
