Jefferson's Popcorn & Roasted Nuts Shop sells cone-shaped bags of roasted cashews, shown below. What is the volume of the bag of nuts?
The volume of the bag of nuts is the amount of nuts it can contain
The volume of the bag of nuts is 84.78 cubic inches
How to determine the volume of the bag?From the figure, we have the following parameters:
Radius, r = 3 inHeight, h = 9 inThe volume of a cone is calculated using:
V = 1/3 πr^2h
Substitute the known values
V = 1/3 * 3.14 * 3^2 * 9
Evaluate the product
V = 84.78
Hence, the volume of the bag of nuts is 84.78 cubic inches
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The sum of the interior angle of a polygon is 1260 degrees. How many sides does the polygon have?
Answer: 9 sides
Step-by-step explanation:
If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.
180°(n-2) = 1,260°
n - 2 = 7
n = 9
One group (A) contains 765 people. Three-fifths of the people in group A will be selected to win $50 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 716 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.
Answer:
There are 1.07 non winners in group A for every 1 non winner in group B
Or: 1.07:1
Or: 7% more non winners in group A
Step-by-step explanation:
Group A:
765*3/5 = 459 non winners
Group B:
716*3/5 = 429 non winners
Final Calculation:
459/429 = 1.07
.......................................................
What is the scale factor of the enlargement of shape A to shape B?
Answer:
scale factor = 6
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, shape B to shape A
base of shape A = 1 , base of shape B = 6 , then
scale factor = [tex]\frac{6}{1}[/tex] = 6
After finding the ratio of their corresponding sides of triangles the scale factor we get is 6.
The difference in scale between an original item's scale and a new object that is its representation but is larger or smaller is known as a scale factor.
From figure
For small triangle:
base = 1 units
For large triangle:
base = 6 units
Now the scale factor = ratio of adjacent sides
Scale factor = (Base of large triangle)/(Base of small triangle)
Scale factor = 6/1
Scale factor = 6
Hence,
The scale factor is 6.
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please help I will give brainiest pls
The number of jelly beans placed in jars by a class of kindergarteners is normally distributed with an unknown population
mean and standard deviation. A random sample of 20 jars is taken and results in a sample mean of 43 jelly beans and
sample standard deviation of 6 jelly beans.
Using the t-distribution, the 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 20 - 1 = 19 df, is t = 1.3277.
The other parameters are given as follows.
[tex]\overline{x} = 43, s = 6, n = 20[/tex].
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 - 1.3277\frac{6}{\sqrt{20}} = 41.22[/tex]
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 + 1.3277\frac{6}{\sqrt{20}} = 44.78[/tex]
The 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).
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0.07 x what equals 441 ???
Step-by-step explanation:
[tex]0.07 \times x = 441[/tex]
[tex]x = \frac{441}{0.07} [/tex]
[tex]x = 6300[/tex]
if Bill
deposits $3000 in an account that earns 6.5% compound interest annually for 3.5 years.
How much interest will he have earned?
Answer:
$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)
Step-by-step explanation:
Compound Interest Has a Specific Formula:
This case is Exponential Growth.
Formula: y= ab^x
You need to set up the equation.
First we need to define the rate of growth meaning what do you have to do for the 6.5%.
You need to do 100% + 6.5% = 106.5%
You need to convert the percent to a decimal which will be 1.065
Now we need to start plugging things into our formula to solve.
Your initial Starting amount was $3000
So you need to have y=3000(b)^x
We now know that the rate of growth is 1.065 so the b would be 1.065
y=3000(1.065)^x
Our power to x is our 3.5 years.
Our Equation now:
y=3000(1.065)^3
Now you need to use a calculator to do this due to the amount of decimals and digits.
Remember pemdas when doing this!!!
The answer should result to $3,623.84 but if rounded then: $3,623.85
i will give brainliest
PLEASE HELP!
Answer:
3/4
Step-by-step explanation:
It says Event Q is more likelier to occur than Event T⇒ P(T) = 1/2
⇒ P(Q) > P(T)
⇒ P(Q) > 2
A possible probability is :
P(Q) = 3/4cercaughters A mother says to her 5 years ago I 5 times as old as you were but 10 years Hence shall be only twice as old as you will find the posent age of mother T and daughter
Answer:
Daughter is now 10 The mother is 30
Step-by-step explanation:d
d=daugter
5d=mother
5d = 2d +5 +10
3d =15
d=5
5 years ago d=5 m=25
now d=10 m=30
in10 years d=20 m=40
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4057 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 60.75 feet per second and Plane B is gaining altitude at 40.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
What will their altitude be when there’re at the same altitude?
Answer:
46 seconds6851.5 feetStep-by-step explanation:
The altitude of each plane can be expressed by an equation that adds the initial altitude and the product of time and its rate of climb.
plane A: y = 4057 +60.75t
plane B: y = 5000 +40.25t
__
We want to find the time when their altitudes are the same:
4057 +60.75t = 5000 +40.25t . . . . equate the expressions for y
20.50t = 943 . . . . . . . . . subtract (40.24t +4057)
t = 46 . . . . . . . . . . . . divide by the coefficient of t
At t=46, the altitude of the planes will be ...
y = 5000 +40.25(46) = 5000 +1851.5 = 6851.5
The planes are at the same altitude after 46 seconds.
Both planes will be at an altitude of 6851.5 feet.
complete the ordered pair so that it is a solution of 2/3x + y -1 = 0
Answer:
Step-by-step explanation:
No solution; 3x+y-1 =/ 0
What is the sum of the solutions to the equation below?
8x^2 + 2x - 3 = 0
A) 3/8 B) 1/4 C) -1/4 D - 3/8
Answer:
(x−1)43x3−8x2+10 can be resolved into partial fraction as x−1A+(x−1)2B+(x−1)3C+(x−1)4D
So , 3x3−8x2+10=A(x−1)3+B(x−1)2+C(x−1)+D
Put x=1 , we get 3−8+10=D
D=5
Comparing the coefficient of x3 on both sides we get , A=3 .
So equation reduces to 3x3−8x2+10=3(x−1)3+B(x−1)2+C(x−1)+5
Now compare the constant on both sides , 10=−3+B−C+5
=>8=B−C - (1)
Comparing the coefficent of x2 we get −8=−9+B
=>B=1
So , put B=1 in (1) , we get C=−7
Therefore , (x−1)43x3−8x2+10=x−13+(x−1)21−(x−1)37+(x−1)45
Step-by-step explanation:
hope it helps
Which of the following numbers is the smallest?
1/3
3/10
2/5
3/8
Answer:
3/10
Step-by-step explanation:
Taking the decimal values (upto the thousandths place)
1/3 = 0.333/10 = 0.32/5 = 0.43/8 = 0.375Clearly,
0.3 < 0.33 < 0.375 < 0.40.3 is the smallest3/10 is the smallest3/10 is the smallest number among the given options.
Given that are numbers we need to check which is the smallest from this,
To determine which of the given numbers is the smallest, we can compare them by finding a common denominator and then comparing the numerators.
The common denominator for 1/3, 3/10, 2/5, and 3/8 is 120 (the least common multiple of 3, 10, 5, and 8).
Now, let's convert each fraction to have a denominator of 120:
1/3 = 40/120
3/10 = 36/120
2/5 = 48/120
3/8 = 45/120
Comparing the numerators, we can see that 36/120 (3/10) is the smallest.
Therefore, 3/10 is the smallest number among the given options.
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find the value of x and y in the figure below
Step-by-step explanation:
First find out the value of X and second find the value of Y and where is figure
Barry's income can be calculated as $17 times the number of hours worked (h) added to his commission of $200. If he subtracts $300 to pay a bill, his income totals $580. Which expression represents Barry's income?
Marsha sees an airplane flying overhead. The spot on the ground that is directly under the plane is 3,600 feet from Marsha's house. She sees the plane at a 45o angle of elevation. What is the elevation of the plane?
The elevation of the plane is 3600 ft
Let
h = elevation of plane, d = distance from Marsha's house to spot on ground below plane = 3600 feet and Ф = angle of elevation of plane = 45°From the triangle, we have the trigonometric ratio
tanФ = h/D
Elevation of the planeMaking h subject of the formula, we have
h = DtanФ
substituting the values of the variables into the equation, we have
h = DtanФ
h = 3600 ft × tan45°
h = 3600 ft × 1
h = 3600 ft
So, the elevation of the plane is 3600 ft
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What is the area under the normal curve between the z-scores of −1 and 0?
Enter your answer as a decimal, rounded to the nearest hundredth, like this: 0.42
Answer:
0.34
Step-by-step explanation:
You know from the empirical rule that 68% of the area of the normal distribution lies in the range z=-1 to z=1. The distribution is symmetrical, so half that area lies in the range z = -1 to z = 0.
area = 68%/2 = 34% = 0.34
__
Your calculator can tell you the same thing.
You roll a 6-sided die two times.
What is the probability of rolling a 5 and then rolling a 3?
Write your answer as a fraction or whole number.
Answer:
1/36
Step-by-step explanation:
The chance of you rolling a 5 is 1/6
While the chance of you rolling a 3 is a 1/6
If you want both a 5 then a 3 then you multiply the fractions
1/6 * 1/6 = 1/36
Question 5 of 10
Which of the following is most likely the next step in the series?
Answer:
option A
Step-by-step explanation:
Answer os option a
i need help with this
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
In the given figure, Angle y is equal to Angle adjacent to 52° and 90° by Vertical opposite angle pair
And since they for straight line, their Angle sum will be equal to 180°
that is :
[tex]\qquad \tt \dashrightarrow \:y + 52 + 90 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:y + 142 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:y = 180 - 142[/tex]
[tex]\qquad \tt \dashrightarrow \:y =38 \degree[/tex]
Answer:
y = 38°
Step-by-step explanation:
We know that the angles in a straight line are added up to 180°.
So,
90 + y + 52 = 180
142 + y = 180
y = 180 - 142
y = 38°
What is 8,838 rounded to the nearest ten
Answer:
8840
Step-by-step explanation:
Answer:
8,840
Step-by-step explanation:
You would use a back-to-back stem-and-leaf plot when you want to analyze the heights of the boys on the basketball team.
False
True
Answer:
true because there are going to be many heights already
Step-by-step explanation:
i it's true
this is because already there will be
so many heights
Help answer question
Answer:
Yes and yes
Step-by-step explanation:
Which of the following steps would you perform to the system of equations
below so that the equations have opposite y-coefficients?
4x+2y - 4
12x - y - 26
O A. Divide both sides of the top equation by 3
O B. Multiply both sides of the top equation by 2
O C. Multiply both sides of the bottom equation by 2
O D. Divide both sides of the bottom equation by 3
Step-by-step explanation:
please mark as brainliest please
A cylinder has a diameter of 6 cm and a height of 3 cm. What is the surface area of the cylinder? Enter your answer, in exact form, in the box.
If the diameter and height of the cylinder are 6 cm and 3 cm. Then the surface area of the cylinder is 56.55 square cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylinder has a diameter of 6 cm and a height of 3 cm.
Then the surface area of the cylinder will be
[tex]\rm SA = \pi d h[/tex]
We have
d = 6 cm
h = 3 cm
Then the surface area will be
[tex]\rm SA = \pi \times 6 \times 3 \\\\SA = 56.55[/tex]
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How many solutions does the equation
below contain?
-4-3t+ 1) - 7+ = 51 - 4
A.
no solution
B.
one solution
C. two solutions
D. infinitely many solutions
Answer:
A.no solution
Step-by-step explanation:
[tex]12t- 4 - 7t = 5t - 4[/tex]
[tex]12t - 7t = 5t - 4[/tex]
[tex]5t = 5t - 4[/tex]
[tex]5t - 5t = - 4[/tex]
[tex]0 = - 4[/tex]
A bag of oranges weighs 3/5 pounds. How much do
1 3/5 bags weigh?
Given the tunction
f(x)= - x^2 + 4x - 3 ,find the rate of chango over the interval [-2,7] (you can take the negative leading coefficlent off for reg ed if you want) *
Answer:
-1
Step-by-step explanation:
Given function: [tex]f(x)=-x^2+4x-3[/tex]
[tex]\implies f(-2)=-(-2)^2+4(-2)-3=-15[/tex]
[tex]\implies f(7)=-(7)^2+4(7)-3=-24[/tex]
[tex]\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}\quad\textsf{for}\:a\leq x\leq b[/tex]
Therefore, average rate of change over the interval -2 ≤ x ≤ 7
[tex]\implies \textsf{Average rate of change}=\dfrac{f(7)-f(-2)}{7-(-2)}=\dfrac{-24-(-15)}{9}=-1[/tex]
