Volume of a cylinder
[tex]\pi \times {r}^{2} \times h[/tex]
larger cylinder: r=2, h=28
volume of larger cylinder lets say (V) :
[tex]\pi \times {2}^{2} \times28 \\ = 4 \times 28\pi =112\pi[/tex]
vokume of smaller cylinder lets say (v): r=2, h=7
[tex]\pi \times {2}^{2} \times 7 \\ = 4 \times 7\pi = 28\pi[/tex]
so the ratio= volume of largercylinder/ volume of smaller
[tex]ratio = \frac{112\pi}{28\pi} \\ = \frac{4}{1} [/tex]
so in ratio terms the
Ans: 4:1
The ratio of the volume of the larger cylinder to the smaller cylinder is 4:1, calculated using the volume formula for cylinders, V = πr²h.
To calculate the ratio of the volumes of two cylinders, we need to use the formula for the volume of a cylinder, V = (πh), where r is the radius and h is the height.
For the first cylinder with a height of 7 cm and a radius of 2 cm, the volume is V₁ = 3.14 (2 cm) (7 cm) = 88.36 cm³.
For the second cylinder with a height of 28 cm and the same radius, the volume is V₂ = 3.14 (2 cm) (28 cm) = 353.44 cm³.
The ratio of V2 to V1 is then 353.44 cm³ / 88.36 cm³, which simplifies to 4:1.
the height of the slide is 10 feet. The distance between the ladder and the edge of the slide is 12 feet. what is the distance of the slide?
Answer:
a^2 + b^2 = c^2 so
10^2 + 12^2 = Distance
100 + 144 = C^2
15.62 ft=C or the distance of slide
Step-by-step explanation:
I need to know what is 18% of 27 please help
Answer:
4.86
Step-by-step explanation:
27*.18=4.86
Answer:
4.86
Step-by-step explanation:
The decimal form of 18% is 0.18. Multiply that by 27 to get 18% of 27
27 x 0.18 = 4.86
Hope this helps!
Please give me brainliest answer! Thanks!
Help please and thank you
The correct option is C
Step-by-step explanation:See the attached image
what is 4 is to 3 as x is to 20
Answer:
Step-by-step explanation:
Better write, "Solve '4 is to 3 as x is to 20' for x."
x = 80/3
Writing out this equation of ratios, we get:
4 x
------ = -----
3 20
Cross multiplication here yields:
3x = 80, and then x = 80/3.
To solve this proportion problem, set up the equation 4/3 = x/20. Cross multiply and solve for x to get x = 80/3.
Explanation:This is a proportion problem. We can set up the equation:
4/3 = x/20
To solve for x, we can cross multiply:
4 * 20 = 3 * x
80 = 3x
Divide both sides by 3 to solve for x:
x = 80/3
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A _____ economy is based on personal choice. business command supply market
Answer:
The answer is "Market" economy
Answer:
A Market economy is based on personal choice.
Step-by-step explanation:
Edge 2021-2022
Put the following fractions in order from least to greatest.
a. 7/3
b. 8/2
c. 2/1
d. 6/5
A) a, d, b, c
B) b, a, d, c
C) c, a, b, d
D) d, c, a, b
Pls answer fast!
I think the correct answer is C
Answer:
D) d,c,a,b
Step-by-step explanation:
To arrange the fractions in the order requested we have to express them to a common denominator . This is done by finding the Least common multiple of the denominators. Thus, the fractions,7/3, 8/2, 2/1,6/5, the L.C.M of the denominators is 30 thus lets divide the L.C.M by the denominator of each number then multiply with the numerator.
7/3=70/30
8/2=120/30
2/1=60/30
6/5=36/30
thus from the least to the largest we arrange them as follows 6/5, 2/1, 7/3 then 8/2
Solve for x. Write the smaller solution first, and the larger solution second. 3x^2−9x−12=0
Answer:
x = -1 and x = 4Step-by-step explanation:
[tex]3x^2-9x-12=0\qquad\text{divide both sides by 3}\\\\\dfrac{3x^2}{3}-\dfrac{9x}{3}-\dfrac{12}{3}=\dfrac{0}{3}\\\\x^2-3x-4=0\\\\x^2+x-4x-4=0\\\\x(x+1)-4(x+1)=0\\\\(x+1)(x-4)=0\iff x+1=0\ \vee\ x-4=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\x=-1\\\\x-4=0\qquad\text{add 4 to both sides}\\x=4[/tex]
Answer:
Smaller x = -1
Larger x = 4
Step-by-step explanation:
Mark all the statements that are true.
A. The range for this function set (3)
B. All real numbers are in the range of this function
C. This graph is not a function because the value of y is the same for every value of x.
D. The domain for this function is the set. (3)
E. The domain for this function is all real numbers.
Answer:
A, E
Step-by-step explanation:
The function is the rule that maps to each x exactly one y (these y can be the same). Thus the given graph represents the function (option C is false).
The domain of the function are all possible values for x. Thus, from the given graph the domain of the function are all real numbers (option E is true, option D is false).
The range of the function are all possible values for y. Thus, from the given graph the range of the function is the set {3} (option A is true, option B is false).
Answer:
A&E
range is the y axis so its stuck at 3 and the
domain is all real numbers
A&E
Lillian collects stickers. Of her collection, 5/12 are animals stickers. Of remainder, 5/14 are flower stickers. What fraction of her stickers are not animal or flower?
well, this is simple subtraction as it is! 12-5= 7 so 7 for animal. 14-5= 9 so 9 for flower. 9+7= 16! so your final answer is, 16.
Answer:
The fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]
Step-by-step explanation:
Topic: Fractions
Let A represent the fraction of stickers that are animals
Let S represent the remaining stickers including the flower stickers
Given
A = [tex]\frac{5}{12}[/tex]
To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.
Mathematically, A + S = 1;
By Substitution, A + S = 1 becomes
[tex]\frac{5}{12} + S = 1[/tex] ------ Collect like terms
[tex]S = 1 - \frac{5}{12}[/tex]
[tex]S = \frac{12 - 5}{12}[/tex]
[tex]S = \frac{7}{12}[/tex]
Hence, the fraction of her stickers that are not animal is [tex]\frac{7}{12}[/tex]
From the question, we have that [tex]\frac{5}{14}[/tex] of the remainder are flower stickers.
Let F = Flower Stickers
F = [tex]\frac{5}{14}[/tex] * S
F = [tex]\frac{5}{14}[/tex] * [tex]\frac{7}{12}[/tex]
F = [tex]\frac{5}{2}[/tex] * [tex]\frac{1}{12}[/tex]
F = [tex]\frac{5}{24}[/tex]
To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.
Mathematically, A + F + R= 1;
R = 1 - A - F
Where R represent the fraction of stickers that are not animal or flower
[tex]R = 1 - \frac{5}{12} - \frac{5}{24}[/tex]
[tex]R = \frac{24 - 10 - 5}{24}[/tex]
[tex]R = \frac{9}{24}[/tex]
Hence, the fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]
A graduate school plans to increase its enrollment capacity by developing its facilities and the programs it offers. Their enrollment capacity this year was 120 graduate students. Beginning next year, the school plans to triple this number every year, with a target enrollment capacity of 3,240 students. Which equation represents this situation, and after how many years, t, will the graduate school be able to achieve its target enrollment capacity? A. 120(3)t = 3,240; t = 3 B. 120 + (3)t = 3,240; t = 7 C. (120 · 3)t = 3,240; t = 2 D. 120(1.3)t = 3,240; t = 27
Answer:
A. 120(3)t = 3,240; t = 3
Step-by-step explanation:
We are given that enrollment capacity for first year = 120
The school plans to triple the capacity every year.
Assuming t to be the number of years, the capacity for every t year will be [tex]3^t[/tex].
This is expressed by the equation [tex]120(3)^t = 3240[/tex]
Substituting t =3 in the above equation to get:
[tex]120(3)^3 = 120\times 27=[/tex] 3240
So the equation is true when t = 3.
Therefore, the correct answer option is A. 120(3)t = 3,240; t = 3.
Answer: the one your looking for is A
What's 1-1 please help.
the answer to “1-1” is 0
Answer:
Yes. 1-1=0
Step-by-step explanation:
The steps are:
Step 1: Hold 1 finger up.
Step 2: Put that one finger down and that's what 1-1 is.
Hope this helps a LOT.
20 POINTS PLEASE HELP WILL GIVE BRAINLIEST
A plane intersects a cylinder parallel to the cylinder’s bases. What’s the area of the resulting cross section? Use 3.14 for π. Round your answer to the nearest tenth
The cross section makes a circle.
The area of a circle is PI x r^2 where r is 1/2 the diameter.
10m / 2 = 5 m
Area = 3.14 x 5^2
Area = 3.14 x 25 = 78.5 square m.
solve the picture, solve n
Answer: n = 63
Step-by-step explanation:
n ÷ 21 = 3
Do the opposite to find n!
3 × 21 = 63
So, to check our answer
63 ÷ 21 = 3
n = 3
:))
Answer:
[tex]21*\frac{n}{21} 3*21[/tex] ← Multiply both sides by 21[tex]n=63[/tex] ← Simplify----------------------------------
Answer:
n = 63Check by substituting the solutions back into [tex]\frac{n}{21} =3[/tex]
-------------------------------
hope it helps...
have a great day!!
he initial number of views for a certain website was 15. The number of views is growing exponentially at a rate of 22% per week. What is the number of views expected to be four weeks from now? Round to the nearest whole number. Enter your answer in the box.
Answer:
27 views
Step-by-step explanation:
Week 1: 15 views
Week 2: 15 x 1.22 = 18.3 views
Week 3: 18.3 x 1.22 = 22.326 views
Week 4: 22.326 x 1.22 = 27.24 views
10..................................
Answer:
The answer is 7 ⇒ answer (C)
Step-by-step explanation:
∵ (3 + √2)(3 - √2) =
9 - 3√2 + 3√2 - 2 = 9 - 2 = 7
∴ The answer is 7
For this case we must simplify the following expression:
[tex](3+ \sqrt {2}) (3- \sqrt {2})[/tex]
We apply distributive property:
[tex]9-3 \sqrt {2} +3 \sqrt {2} - \sqrt {2} * \sqrt {2} =[/tex]
We take into account that different signs are subtracted and the sign of the major is placed:
[tex]9 - (\sqrt {2}) ^ 2 =\\9-2 =[/tex]
We take into account that different signs are subtracted and the sign of the major is placed:
[tex]9-2=7[/tex]
So, we have:
[tex](3+ \sqrt {2}) (3- \sqrt {2}) = 7[/tex]
Answer:
Option C
PLEASE HELP ASAP
In the figure, line m is parallel to line n. The measure of angle 2 is 40 degrees and the measure of angle 3 is 68 degrees. What is the measure of angle 5? Explain how you found the answer using the relationships of angles.
Answer:
∠1 - 40°
Step-by-step explanation:
∠1 - 40°
b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.
∠2 - 140°
b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.
∠3 - 40°
b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.
∠4 -
b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.
∠5 - 35°
b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.
~~
I hope that helps you out!!
The measure of angle 5 is 72°.
What is angle?An angle is the formed when two straight lines meet at one point, it is denoted by θ.
Given that,
Lines m and n are parallel,
Also, value of ∠2 = 40°, ∠3 = 68°
First determine the value of angle 5 First determine the value of angle 1,
Since, angle of a line = 180°
∠1 + ∠2 + ∠3 = 180°
∠1 + 40 + 68 = 180
∠1 + 108 = 180
∠1 = 72
Since, lines m and n are parallel,
∠1 = ∠5
∠5 = 72°
So, the value of angle 5 is 72°.
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Step by step please ASAP
Answer:
-2x^2 - 2
Step-by-step explanation:
(6x^2 + 3) - (5 + 8x^2)
-2x^2 + 3 - 5
-2x^2 - 2
John had 5 apples, Jimmy took 4. How many apples does John have now?
one apple left you subtract 5 from 4 and get 1
Answer:
1
Step-by-step explanation:
ok so if john had 5 but then micky mouse said oh no this is worng and mutiplie that by 903238424203849 x 0q98e0qw98e9q0we9w0q that is if the answer your looking for is 1 :>
what os two ways to show 76x29
Do a box and split it into four then on 1/4 do 70, 1/4 do 6 then on the top side do 20 and 4 and multiply
The supplies are packed inside a cube – shaped box with side lengths 4 ½ in. These boxes are then packed into a shipping box with dimensions of 18 in x 9 in x 4 ½ in.
Answer:
eight cubes can be shipped.
Step-by-step explanation:
The height of the shipping box is the same as the height of the boxes that are about to be shipped. (4 1/2 inches). So you can get 1 layer of the boxes to be shipped.
The length of the shipping box is 18 inches. You will be able to get 18/4.5 = 4 boxes along the 18 inch side.
The 9 inch side will allow 2 boxes.
In all you can ship 2 * 4 boxes in the shipping box which is eight 4 1/2 inch cubes in all.
Your plant runs two assembly lines. The first line produces 1,250 units a day and the second produces 2,825 units a day. What is the ratio of production of the first line to the second line?
Answer:
[tex]\frac{50}{113}[/tex]
Step-by-step explanation:
The ratio is simply the division of one by another (and simplification).
Hence, the ratio of production of the first line to the second line is 1250 divided by 2825. So,
Ratio = [tex]\frac{1250}{2825}=\frac{50}{113}[/tex]
Answer:
[tex]\frac{50}{113}[/tex] or [tex]0.442[/tex]
Step-by-step explanation:
We are given that a plant runs two assembly lines, the first one produces 1,250 units a day while the second produces 2,825 units a day.
We are to find the ratio of production of the first line to the second line.
To find this production ratio, we would just simply divide the the production unit of first line with the production unit of the second line.
Ratio of production of the first line to the second line = [tex]\frac{1250}{2825}[/tex] = [tex]\frac{50}{113}[/tex] or [tex]0.442[/tex]
Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle graph.
How many people prefer banana?
Enter your answer in the box.
A pie chart displaying favorite flavors of frozen yogurt. Chocolate is at 36 percent, strawberry is at 18 percent, vanilla is at 22 percent, banana is at 4 percent, and peanut butter is at 20 percent.
20% peanut butter
4% banana
22% vanilla
18% strawberry
36% chocolate
WORTH 50 POINTS!!! PLS HELP ME!
Answer: the answer is 25 people
Step-by-step explanation:
To determine how many people prefer banana-flavored frozen yogurt, calculate 4% of the 50 people surveyed. The calculation (4/100) × 50 results in 2 people preferring banana flavor.
Explanation:The student is asking how many people prefer banana flavor based on a pie chart that displays the percentage breakdown of favorite flavors of frozen yogurt. To find the number of people who prefer banana flavor, we need to calculate 4% of the 50 people surveyed because the pie chart indicates that banana flavor is preferred by 4% of the participants. Here's a step-by-step breakdown:
Identify the total number of people surveyed, which is 50.Determine the percentage of people who prefer banana, which is 4%.Calculate the number of people who prefer banana by taking 4% of 50: (4/100) × 50 = 2.Therefore, 2 people out of the 50 surveyed prefer banana frozen yogurt.
For every 4 pages Marshall reads in a book, Nik reads 3 pages. In 1 hour, they read a combined total of 35 pages. Write an equation that you can use to solve this.
Answer:
4+3*x=35
Step-by-step explanation:
lets solve using our equation:
4+3=7
7x=35
7x/7=35/7
x=5
Hope this helps pl vote my answer the brainiest as i want to lvl up!
Ted earns a salary of $900 a month and a commission of 10% on all sales over $5,000. This month his sales were $36,000. What were his total earnings for the month?
Answer:
$4,000
Step-by-step explanation:
He makes a flat rate of $900, plus 10% on sales over $5,000
He sold $36,000, so he gets paid on $36,000 - $5,000 = $31,000 of those sales.
10% of $31,000 is
$31,000(0.10) = $3,100
He made $900 + $3,100 = $4,000
A medical researcher prepares a number of sugar tablet doses. The only ingredient is sugar, they are absolutely safe to administer, and they have no medical effects whatsoever. The likely purpose of these tablets is:
Answer:
The answer is probably E (placebos)
Step-by-step explanation:
Because the sugar tablets will do nothing to the patient, the reasearcher wants to see how the patient will act thinking that they are being treated with medication, when infact it is just a sugar tablet, he is trying to find out the psychological effect it will have on the patient, so the answer is E.
The sugar tablets devoid of any medical effects are most likely used as placebos in medical research. They serve as a control measure in drug trials to ensure any observed changes are attributed to the medication being tested and not from biases or expectations.
Explanation:In the field of medical research, sugar tablets without any medical effects are likely used as placebos. Placebos are administered as control measures in experimental studies to ensure that any observed effects can be attributed to the medication being tested, rather than participant expectations or experimenter bias. For instance, in a drug trial, one group (the experimental group) receives the medication, while another group (the control group) receives a placebo, in this case, a sugar tablet. If the experimental group shows different results as compared to the control group, it can be deduced the differences are likely due to the drug itself. This process helps to maintain the integrity and credibility of medical research.
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The length of a school hallway is 115 meters how many kilometers long is the hallway
Answer:
0.115 kilometers
Step-by-step explanation:
One kilometer is equal to 1,000 meters, so 115 meters is
115/1,000 kilometers, or 0.115 kilometers
a bank loaned out $13,000 part of it at a rate of 8% per year and the rest at 16% per year. if the interest received in one year totaled $1500 how much was loaned at 8%.
Final answer:
To find out how much of the $13,000 was loaned at 8%, set up a system of equations based on the total amount of the loan and the total interest received. Solve the equations to find that $7,250 was loaned at an 8% interest rate.
Explanation:
The student is dealing with a problem related to the allocation of two different simple interest rates for portions of a loan. To find out how much was loaned at 8%, we set up two equations representing the amounts loaned at each rate and the total interest earned. Let's assume the amount loaned at 8% is x and the amount loaned at 16% is y. The following system of equations can be formed:
x + y = 13000 (total amount loaned)0.08x + 0.16y = 1500 (total interest earned)By solving this system of equations, we can determine the value of x and y.
The first step is to express y in terms of x from the first equation: y = 13000 - x. Next, we substitute this expression into the second equation: 0.08x + 0.16(13000 - x) = 1500. Simplifying this gives us 0.08x + 2080 - 0.16x = 1500, which further simplifies to -0.08x = -580. Dividing by -0.08, we find x = 7250. Therefore, $7,250 was loaned at 8%.
what is the solution for x^2+64=0
Answer:
If we consider real numbers, there is no solution.
If we take into account imaginary numbers, there are 2 solutions. [tex]x=8i, -8i[/tex]
Step-by-step explanation:
We can take 64 to the other side and then take the square root.
Thus, we have:
[tex]x^2+64=0\\x^2=-64\\x=\sqrt{-64}[/tex]
We CANNOT take the square root of a negative number, so there is no solution.
BUT, if we take into account Imaginary Numbers, we can solve:
[tex]x=\sqrt{-64} \\x=\sqrt{(-1)(64)} \\x=\sqrt{-1} \sqrt{64} \\x=8i[/tex]
Where [tex]\sqrt{-1} =i[/tex]
AND, we can take the positive and negative versions of 8i, since squaring would take it back to original.
So the answer would be 8i and -8i
Answer:
So the answer would be 8i and -8i
ectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation? (x, y) → (x + 5, y – 3) (x, y) → (x + 5, y + 3) (x, y) → (x – 3, y + 5) (x, y) → (x + 3, y + 5)
Answer: third option.
Step-by-step explanation:
By definition, translation is transformation in which you move the shape.
Then, you know that the rectangle on a coordinate plane is translated 5 units up and 3 units to the left.
Therefore, you must add 5 units to each y-coordinate and subtract 3 units to each x-coordinate.
So, keeping the above on mind, you can conclude that the rule that describe this translation is the shown below:
[tex](x,y)[/tex]→[tex](x-3,\ y+5)[/tex]
please help, i’ve been in apex and i don’t know what the answer is
Answer:
A
Step-by-step explanation:
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{7}{17.46}[/tex] ≈ 0.40 → A