Answer:
24 cups of popcorn
Step-by-step explanation:
Let x represent the number of cups of popcorn that can be made from 0.75 cups of kernels. We know that 0.5 cups of kernels is used to make 16 cups of popcorn. Therefore, to calculate the number of cups of popcorn that can be made from 0.75 cups of kernels we use the equation:
x / 0.75 cups of kernels = 16 cups of popcorn / 0.5 cups of kernels
multiplying through by 0.75 cups of kernels gives:
(x / 0.75 cups of kernels) * 0.75 cups of kernels = (16 cups of popcorn / 0.5 cups of popcorn) * 0.75 cups of kernels
x = 24 cups of popcorn
Need help on question hurry
Answer: C
Step-by-step explanation: it is c trust me
a car is 180inches long. a truck is 75% longer then the car. how long is the truck?
Answer:
135 in.
Step-by-step explanation:
How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answer:
21,656
Step-by-step explanation:
What is the final price of a $5000 item with a 44% markup?
Answer:
$7200
Step-by-step explanation:
5000 increase 44% =
5000 × (1 + 44%) = 5000 × (1 + 0.44) = 7200
1/10 times 5/6 please help me
Answer:
1/10 x 5/6 = 5/60 or 1/12
Step-by-step explanation:
multiply the denominator and numerators. If it is needed to be simplified,
find the gcf of 5 and 60. That would be 5. So divided 5/60 by 5. This would be your final answer of 1/12.
Have a nice day, and I hope this helps you!
-KindnessMatters-
Answer this pleaseee !!
Answer:
D.
Step-by-step explanation:
m<F = m<B - Corresponding Angles Theorem
m<B + m<A = 180 - Adjacent Angles Theorem
180 - 105 = m<A
75 = m<A; therefore, m<A = 75.
Answer:
D.
Step-by-step explanation:
Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.
In the supply-and-demand schedule shown above, at the equilibrium price, the quantity supplied is _____ and the quantity demanded is _____. 0, 500 200, 200 400, 0
Answer:
200, 200
Step-by-step explanation:
find the percentage increase of a rectangle
Answer:
your question is quite different. I do not understand properly
write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the function in standard form. -2,3,6
Answer:
A polynomial function f of least degree = f = x³ - 7x² + 36
The function in standard form = f = x³ - 7x² + 36
Step-by-step explanation:
As given, Leading coefficient of polynomial function = 1
Also given, zeroes of the function = -2, 3, 6
for root -2 : (x - (-2)) = (x + 2)
for root 3 : ( x - 3)
for root 6 : (x - 6)
Therefore, the polynomial function becomes -
f = 1(x+2)(x-3)(x-6)
⇒f = (x+2)(x² - 6x - 3x + 18)
⇒f = (x+2)(x² - 9x + 18)
⇒f = x³ - 9x² + 18x + 2x² - 18x + 36
⇒f = x³ - 7x² + 36
The polynomial function in standard form is [tex]f(x) = x^3 - 8x^2 +9x +18[/tex]
The zeros of the polynomial are given as:
[tex]Zeroes = -2,3,6[/tex]
Rewrite as:
[tex]x= -2,3,6[/tex]
Express the zeroes as an equation
[tex]x= -2[/tex], [tex]x =3[/tex] and [tex]x =6[/tex]
Equate to 0
[tex]x + 2 = 0[/tex], [tex]x -3 = 0[/tex] and [tex]x -6 = 0[/tex]
Multiply the equations
[tex](x + 1) \times (x - 3) \times (x - 6) = 0 \times 0 \times 0[/tex]
[tex](x + 1) \times (x - 3) \times (x - 6) = 0[/tex]
Expand
[tex](x^2 - 3x + x - 3) \times (x - 6) = 0[/tex]
[tex](x^2 - 2x - 3) \times (x - 6) = 0[/tex]
Expand
[tex]x^3 - 2x^2 - 3x -6x^2 +12x +18 = 0[/tex]
Collect like terms
[tex]x^3 - 2x^2 -6x^2 - 3x +12x +18 = 0[/tex]
[tex]x^3 - 8x^2 +9x +18 = 0[/tex]
Express as a function
[tex]f(x) = x^3 - 8x^2 +9x +18[/tex]
Hence, the function in standard form is [tex]f(x) = x^3 - 8x^2 +9x +18[/tex]
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find the height of the cylinder if the volume is 340, and the length is 3
Answer:
113
Step-by-step explanation:
divide the volume with the length
please simplify- e⁵×e⁴
Answer:
e3x
Step-by-step explanation:
I need help please.
Answer:
5
Step-by-step explanation:
if you write a long list:111122333344555555566666677777888 you can see the number that occurs the most is 5.
4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:
If FGH ~ KJH, find FH.
The required length of FH is obtained as 64.68.
What is the criteria for similarity of two triangles?Two triangles are said to be similar when either the ratio of their corresponding sides are equal or all the corresponding angles are equal.
Two similar triangles are the same in shape but not in size.
The given diagram shows two similar triangles as ΔFGH and ΔKJH.
Since the ratios of the corresponding sides of the two triangles are equal, the following equation can be written for the given case as,
(x + 8)/32 = (4x - 25)/52
=> 52(x + 8) = 32(4x - 25)
=> 52x - 128x = -32 × 25 - 52 × 8
=> -76x = -1716
=> x = 22.42
Thus FH = 4x - 25 = 4 × 22.42 - 25 = 64.68
Hence, the length of FH for the given case is 64.68.
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Courtney walks 5 laps around 1/4 mile track. how far does she walk?
Answer:
1 1/4 miles
Step-by-step explanation:
50 points! Due in 20 minutes! So hurry ! no random answers please. Will mark brainliest:)
Please help please please help
Answer:
x=1
Step-by-step explanation:
i did it
When completely factored, 8x + 2y - 4
Answer:...
-4+8x+2xy
Step-by-step explanation:
50 POINTS!!!!!!! WILL GET BRAINLIEST IF CORRECT!!!!!
Answer:
43
Step-by-step explanation:
ACTON
Find the Percentage, Rate Of Base
1. What is 25% of 1258
Answer:________
2. 50 is what percent of 4502
Answer:________
3. 75 is 30% of what number?
Answer:________
Answer:
314.5
2252.5
250
Step-by-step explanation:
If r * s = s to the power of r, then 3 * 2 =
Answer:
[tex]3*2=8[/tex]
Step-by-step explanation:
We know that [tex]r*s=s^{r}[/tex], and we want to find [tex]3*2[/tex] using this formula. To do this, notice that [tex]r=3[/tex] and [tex]s=2[/tex], so all we have to do is substitute the given values into the formula. Therefore:
[tex]r*s=s^{r}[/tex]
[tex]3*2=2^{3}[/tex] (Substitute [tex]r=3[/tex] and [tex]s=2[/tex] into [tex]r*s=s^{r}[/tex])
[tex]=8[/tex] (Simplify)
Hope this helps!
Yousef saves $25 each month for a year. One year is 12 months. How much money does he save in one year?
Answer:
300
Step-by-step explanation:
25 x 12
Answer:300
Step-by-step explanation: its just 25 x 12
What should you do first to simplify 8 + (2 x 5) ?
Answer:
18
Step-by-step explanation:
8+(2)(5)
=18
Answer:
18
Step-by-step explanation:
8 + (2×5)
=8 + 10
= 18
hope this will help you ☺✌
The United States government wanted to determine what proportion of Americans approve of the current President so they conducted a survey of 2,000 randomly chosen Americans. Assume that the true proportion of Americans who approve of the president is 0.46. Determine what the mean and the standard deviation of the sampling distribution of the sample proportion would be. Round to 2 decimal places when necessary. The mean of the sampling distribution is .43 and the standard deviation of the sampling distribution is .05 .
Answer:
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
Step-by-step explanation:
We use the central limit theorem to solve this question:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.46, n = 2000[/tex]
So
Mean: [tex]\mu = p = 0.46[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively
Proportion and standard deviation
The formula for calculating the standard deviation for a sample proportion is given as:
[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]
p is the proportionn is the sample sizeNote that p = mean = 0.46
To get the standard deviation:
[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]
Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.
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Four angles are shown below. Recall that an angle completing a full rotation measures 2π radians.

Angle A represents ____ of a full rotation.
Therefore, Angle A has a measure of___ radians.
Angle B represents___ of a full rotation.
Therefore, Angle B has a measure of ____ radians.
Angle C represents____ of a full rotation.
Therefore, Angle C has a measure of ___radians.
Angle D represents_____ of a full rotation.
Therefore, Angle D has a measure of ___radians.
Answer:
Step-by-step explanation: Angle A is 45 degrees so it represents 1/8 of a rotation. so it has a measure π/4 rads. Angle B is 90 degrees so it represent 1/4 of a rotation. so it has a measure of π/2 rads. Angle C represents 180 degrees so that represent 1/2 of a rotation so it has a measure of π rads. Angle D is 270 degrees so it represents 3/4 of a rotation . Therefore, Angle D has a measure of 6π/4.
The for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.
What is an angle?The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.
From the figure attached:
Angle A represents 1/8 of a full rotation. Therefore, Angle A has a measure of π/4 radians.
Angle B represents 1/4 of a full rotation. Therefore, Angle B has a measure of π/2 radians.
Angle C represents 1/2 of a full rotation. Therefore, Angle C has a measure of π radians.
Angle D represents 3/4 of a full rotation. Therefore, Angle D has a measure of 6π/4 radians.
Thus, the for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.
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7(-9a-3)-2a please help
Answer:
-65a -21 "that is the simplified version"
Answer:
-65a - 21
Step-by-step explanation:
7 ( -9a - 3 ) -2a
Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,
7 ( -9a - 3 ) - 2a
-63a - 21 - 2a
Simplify
-65a - 21
What is the multiplicative rate of change of the
function?
Answer:
the multiplicative rate of change for the exponential change is 3
Step-by-step explanation:
One baseball team played 30 games throughout their entire season. If this baseball team
won 24 of those games, then what percentage of their games did they win? Round your
answer to the nearest whole number if necessary.
Answer:
80 %
Step-by-step explanation:
A 118° sector of a circle has an area of 75 square centimeters. To the nearest centimeter, what is the diameter of the circle?
For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simplest form.
Answer:
[tex]\displaystyle \sin(A-B)=\frac{495}{1073}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}[/tex]
Where both A and B are positive acute angles.
And we want to find he value of sin(A-B).
Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.
Then by the Pythagorean Theorem, the hypotenuse is:
[tex]h = \sqrt{35^2 + 12^2} =37[/tex]
Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.
Then by the Pythagorean Theorem, the adjacent is:
[tex]a=\sqrt{29^2-20^2}=21[/tex]
Therefore, we can conclude that:
So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.
For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.
We can rewrite sin(A-B) as:
[tex]\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)[/tex]
Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)
[tex]\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)[/tex]
Evaluate:
[tex]\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}[/tex]