A round balloon has a diameter of 7 inches
Which of the following is closest to the number of
cubic inches of air can it hold?
A) 181 in
B) 189 in
C) 196 in
D) 208 in
E) 210 in
None of the above
+3
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:
[tex]D = 7\,in + \frac{3}{8}\,in[/tex]
[tex]D = \frac{56 + 3}{8}\,in[/tex]
[tex]D = \frac{59}{8}\,in[/tex]
[tex]D \approx 7.375\,in[/tex]
The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)
If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]
[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]
[tex]V \approx 210.031\,in^{3}[/tex]
Hence, the right answer is approximately 210.031 cubic inches.
The functions f and g are defined as follows.
g(x) = -2x3-5
f(x) = - 4x + 2
Find f (6) and g(-3)
Simplify your answers as much as possible.
Answer:
f(6) = -22, and g(-3) = 49
Step-by-step explanation:
f(x) = -4x + 2
f(6) = -4(6) + 2
f(6) = -24 + 2
f(6) = -22
I assume the 3 in g(x) = -2x3 -5 is cubed
g(-3) = -2(-3)^3 - 5
g(-3) = -2(-27) - 5
g(-3) = 54 - 5
g(-3) = 49
Put the lowest number on the left 2 0 -3 -4
Answer:
-4, -3, 0, 2
Step-by-step explanation:
Answer:
-4,-3,0,2 :p ...........
1/20 + x = 1/10 what is the value of x
Answer:
1/20
Step-by-step explanation:
1/20 +x = ⅒
multiply through by 20
1+20x=2
1-2=-20x
-1= -20x
1/20=x
Write an equivalent expression for h + h + h + n + r + r + n
Answer:
h3 + r2 + n2
Step-by-step explanation:
Answer:
3h+2n+2r
Step-by-step explanation:
I believe you just combine like terms. Since there are 3 hs, 2 ns, and 2 rs, you just them all up and you get 3h+2n+2r.
I hope this helped you!
A bike tire advertises that it is designed to be used for at least 4,000 km of riding. If the diameter of the tire is 0.7 m, how many rotations of the tire against the ground is that guaranteed, to the nearest thousand? There are 1,000 meters in a kilometer.
Answer:
1820000 rotationsStep-by-step explanation:
Circumference of the tire:
C = πd = 3.14*0.7 = 2.198 mNumber of rotations:
4000*1000/2.198 = 1820000 (rounded)A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
9514 1404 393
Answer:
310 calories (120 from fat)
Step-by-step explanation:
A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...
(1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza
The product of a number and 5 increased by 12 is 42. What is the number?
Answer:
6.
Step-by-step explanation:
6×5 = 30 (product=multiplication)
30+12=42 (increased=addition)
So, the answer is 6.
Question 6 of 10
A(n) is produced when you slice a cone with a plane that is parallel to
the base of the cone.
A. parabola
Ο Ο Ο
B. circle
C. hyperbola
D. ellipse
SUBMIT
The correct option is (b) circle .
The conic section formed by the cone and a plane parallel to its base is a circle.The surface of a right-regular cone and a plane parallel to the base of the cone cross to form the closed figure known as a circle. The ellipse, which we'll discuss next, is actually just a special instance of the circle.What is conic?Any curve created by the intersection of a plane and a right circular cone is known in geometry as a conic section, sometimes known as a conic. The intersection can be a circle, an ellipse, a hyperbola, or a parabola, depending on the angle the plane makes with the cone.What conic section is formed from slicing parallel to the base of the cone ?
The resulting curve is a circle if the cone is cut in half parallel to the base. The curve is known as an ellipse if the cone is cut at a modest angle. The curve generated is known as a parabola if the slice is done parallel to the cone's edge.Learn more about Conic brainly.com/question/22337165
#SPJ2
factor the polynominal 5x^2y + 6x^2y^3 - 3x^3y^2
Answer: x^(2)y(5+6y^(2)-3xy)
Step-by-step explanation: Factor x^(2)y out of 5x^(2)y + 6x^(2)y^(3)- 3 x^(3)y^(2)
brainliest or a thank you please! :) <33
When Melissa was born, her parents put $8,000 into a college fund account that earned 9% simple interest. Find the total amount in the account after 18 years. *
Answer:
$20,960
Step-by-step explanation:
Melissa's parent saved 8 000 dollars in the bank for her college fund account. It earns 9% annual interest. After 18 years, how much interest will it accumulate and how much is the total amount that Melissa will have fore her college fund.=> 9% = 9% / 100% = 0.09Let's find the annuak interest first => 8 000 dollars * .09 = 720 dollars The, let's find the after 18 years interest=> 720 dollars * 18 = 12 960 dollarsTotal of the amount: => 8 000 + 12 960 = 20 960 dollars
This is the same as the one above me but in simpler terms
Step-by-step explanation:
I =8000 x 9 x 18 =12,960
Total amount = 12960 +8000= $20,960
Answer:
$12960
Step-by-step explanation:
A=P(1+rt)
8000(1 + (0.09 × 18)) = 20960
A = $20,960.
I = A - P
I=20960-8000
ANS=$12960
Devaughn is 7 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?
Answer:
Sydney is 72 years old
Step-by-step explanation:
My friends name is Sydney too lol
A sports store received a shipment of 150 footballs and basketballs. 20% were basketballs. How many footballs were in the shipment?
Answer:
10 is the answer
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
120 because 20% of the 150 balls is 30 or right so forth the football is a subtract the 150 from the 30 which gives you 120
Drag each capacity to match it to an equivalent capacity.
24 cups
1 gallon
16 fluid ounces
6 pints
Capacity
Equivalent Capacity
2 cups
96 ounces
12 pints
4 quarts
HELP ME
Answer:
2 cups ⇔ 16 fluid ounces 96 ounces ⇔ 6 pints 12 pints ⇔ 24 cups 4 quarts ⇔ 1 gallonAlso see attached
Answer:
Solution:
2 cups=16 fluid ounches
96 ounces=6pints
12 pints=24cups
4 quarts=1 gallon
The area of a SQUARE is 22 ft2. Which of the following is the closest to
the length of each SIDE of the square?
Answer:
4.7ft
Step-by-step explanation:
Hello, the answer would be 4.7ft because 4.7^2 is closest to 22ft^2 with it being 22.09ft^2.
The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics skills over time, and obtains demographic information. In the 2012 study, a random sample of 9000 17-year-old students was selected.24 The NAEP sample used a multistage design, but the overall effect is quite similar to an SRS of 17-year-olds who are still in school. In the sample, 51% of students had at least one parent who was a college graduate. Estimate, with 99% confidence, the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college.
Answer:
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 9000, 51% of students had at least one parent who was a college graduate.
This means that [tex]n = 9000, \pi = 0.51[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
Which of the following rules best describes the matrix below
a. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up
Answer: D
Step-by-step explanation:
d. translation 1 unit left & 1 unit up
right on edg
Help me please I need the help
Answer:
p - 3
Step-by-step explanation:
Key expression: 3 fewer than
Fewer than = subtract from
subtract 3 from a number, p
This means that the expression would be p - 3
Because you are subtracting 3 from a number ( p )
Help please it’s urgent I’ll mark brainliest
Answer:
A
Step-by-step explanation:
isnt it just A right?
Answer:
i believe its 60. sorry if incorrect
Step-by-step explanation:
Choose the equation that best describes the image
Answer:
80 degrees - 43 degrees = ?
Step-by-step explanation:
Please Help me with this thank you
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
Answer:
12.
12% of 100= 12.
What’s the correct answer for this question?
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes. Fast ill give so many points
Step-by-step explanation:
Hope this helped. X axis is horizontal and Y axis is Diagonal.
How many lines of symmetry does the figure below have?
Answer:
C
Step-by-step explanation:
there are 4 of the exact same line going in 4 directions
help anyone like asap plss
Answer: G. (-6,4), (3,5), (2,2) and (-5,1) just look where the dot plot is and you with know the answer.
Step-by-step explanation: Hope this help :)
An entry code into a building is a 5-digit number.
The number of different codes can be counted using
a. permutations
b. combinations
Answer:B
Step-by-step explanation:
Half of a circular cake is left after a party. A piece of cake with a 25° angle is eaten. What is the angle in the piece that is left?
A. 155
B. 205
C. 165
D. 145
Answer:
its 155
Step-by-step explanation:
360/2
180-25
155
The 155° angle in the piece that is left if the piece of cake with a 25° angle is eaten option (A) is correct.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have half of a circular cake is left after a party.
A piece of cake with a 25° angle is eaten.
We know the circle is a complete revolution of lines that joins from a fixed point to point at a certain distance; makes an angle 0f 360°
half of a circular cake with an angle = 360°/2 ⇒ 180°
25° angle piece eaten, then the remaining left portion:
= 180° - 25°
= 155°
Thus, the 155° angle in the piece that is left if the piece of cake with a 25° angle is eaten.
Learn more about circle here:
brainly.com/question/11833983
solve for x. need help pls
what is the y-intercept of the line that goes through (0, 0) (6, 3)
Answer:
QUESTION:
what is the y-intercept of the line that goes through (0, 0) (6, 3)
ANSWER:
Use the slope formula and the slope-intercept form to find the slope m and y-intercept b .
Slope: 1/2
y-intercept: (0,0)
Step-by-step explanation:
Hope that this helps you out! :)
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