Two solids with the same surface and different volumes are a cube of side length of 1 unit, and a sphere of radius of 0.69 units.
How to find the two solids?
First, let's define a cube of a side length of 1 unit. The surface of this cube is equal to 6 times the area of one of the faces, or:
S = 6*(1 unit square) = 6 units square.
And the volume is equal to the side length cubed, so we have:
V = (1 unit)^3 = 1 unit cubed.
Now, let's find a sphere with the same surface than our cube. For a sphere of radius R, the surface is:
S = 4*3.14*R^2
Then we must have:
4*3.14*R^2 = 6 units square
R = √(6/(4*3.14)) units = 0.69 units.
And the volume of this sphere is:
V = (4/3)*3.14*R^3 = (4/3)*3.14*(0.69 units)^3 = 1.38 cubic units.
So the sphere has the same surface and more volume.
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If you deposit `\$300` in an account and it grows by `6\%` each year, how much money will be in your account after `1` year?
Answer:
$318
Step-by-step explanation:
6% x 300 = 18
300 + 18 = 318
A polynomial function has – 5+ 3t as a root. Which of the following must also be a root of the function?
a
Radical roots occur as conjugate pairs
Given - 5 + t is a root , then
- 5 - t is also a root → a
If made $90.00 how much was paid hourly?
Answer:
Made in how long of a workshift?
Step-by-step explanation:
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An auditorium has 9025 seats arranged in rows and columns. Each rows contains as many as the total numbers of rows . Find the numbers of rows in the auditorium .
Answer:
95
Step-by-step explanation:
9025 is a perfect square of 95. hence the number of rows is 95.
[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]
[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]
[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]
[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]
[tex]☞︎︎︎ \: x = 95[/tex]
SourCandyy シ︎convert the following units to the units in bracket 12m (to cm)
We are converting 12 meters into centimeters.
A meter is a larger unit of messurment then centimeter. In fact, a meter is made up of many centimeters
How many centimeters are in a meter?
We can look at the word composition of the word centimeter to figure this out:
centimeter
centi = 100
There are 100 centimeters in 1 meter.
In this problem, we have 12 meters. That is twelve 100 cm or:
12 × 100 = 1,200
12 meters is the same as 1,200 centimeters
1 meter = 100 centimeter
So ,
12 m = 12 × 100 = 1,200 centimeter
Convert the unit of length. Round the answer to one decimal place if necessary. 190 cm ≈ _____ ft
190 cm ≈ _____ ft?
Answer:
15.8
Step-by-step explanation:
I divided 190 by twelve and got 15.833333. The question said to round to one decimal place. So, I rounded to 15.8.
20 easy points fast ……………………….
Select all of the equivalencies
1/4=5/10
8/5=8/5
9/8=7/8
1/2=6/12
7/3=7/3
9/10=10/9
Answer:
8/5 = 8/5
1/2 = 6/12
7/3 = 7/3
Step-by-step explanation:
1/4=5/10
5/10 = 1/2
False
8/5=8/5
True
9/8=7/8
False
1/2=6/12
6/12 = =1/2
True
7/3=7/3
True
9/10=10/9
False
please help me in this mathematics questionplease help me in this mathematics questionplease help me in this mathematics question
The twenty units of potatoes illustrates the measure of central tendency and probability
The modal weight, mean, and medianStart by sorting the dataset:
0.19; 0.28; 0.55;
0.62; 0.68; 0.77;
0.88; 0.89; 0.98;
0.99; 1.11; 1.22;
1.22; 1.22; 1.33;
1.44; 1.48; 1.68;
1.77; 1.99
The highest occuring element is 1.22 with a frequency of 3
The two middle elements are 0.99 and 1.11.
The mean of these two middle elements is: 0.5 * (0.99 + 1.11) = 1.05
The mean of the whole dataset is:
Mean = (0.19+ 0.28+ 0.55+ 0.62+ 0.68+ 0.77+ 0.88+ 0.89+ 0.98+ 0.99+ 1.11+ 1.22+1.22+ 1.22+ 1.33+ 1.44+ 1.48+ 1.68+1.77+1.99)/20
Mean = 1.06
Hence, the modal weight is 1.22, the mean is 1.06, and the median is 1.05
The probabilities(a) at least 1.1 kg
There are 10 potatoes that weigh at least 1.1 kg.
So, the probability is:
P = 10/20
P = 0.5
(b) more than 3.5kg
There are 0 potatoes that weigh more than 3.5 kg.
So, the probability is:
P = 0/20
P = 0
(c) below 0.50kg
There are 2 potatoes that weigh below 0.50 kg.
So, the probability is:
P = 2/20
P = 0.1
The Variance of the weight.
This is calculated as:
Var = [tex]\sum[/tex](x - mean)^2/n
This gives
Var = [(0.19 - 1.06)^2 + (0.28 - 1.06)^2 + (0.55 - 1.06)^2 + (0.62 - 1.06)^2 + (0.68 - 1.06)^2 + (0.77 - 1.06)^2 + (0.88 - 1.06)^2 + (0.89 - 1.06)^2 + (0.98 - 1.06)^2 + (0.99 - 1.06)^2 + (1.11 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.33 - 1.06)^2 + (1.44 - 1.06)^2 + (1.48 - 1.06)^2 + (1.68 - 1.06)^2 + (1.77 - 1.06)^2 + (1.99 - 1.06)^2]/20
Evaluate
Var = 0.22
This means that:
The expectation of the squared deviation of the random variable from the mean is 0.22 kg
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Answer:
0.22 kg
Step-by-step explanation:
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
Start are cooler when in the color Red.
Step-by-step explanation:
Answer:
the answer would be red
Step-by-step explanation:
Find the volume of the oblique rectangular prism below. Round your answer to the
nearest tenth if
necessary.
1100
1115
1120
1135
Answer:
1100 units³
First calculate the Base Area:
parallelogram area:
Base * Height
11 * 10
110 units²
Volume:
Base Area * Length
110 * 10
1100 units³
Answer:
volume = 1100 cm³
Step-by-step explanation:
[tex]\textsf{Volume of an oblique rectangular prism}=l \cdot w \cdot h[/tex]
where:
[tex]l[/tex] is the base length[tex]w[/tex] is the base width[tex]h[/tex] is the height perpendicular to the baseGiven:
[tex]l[/tex] = 11 cm[tex]w[/tex] = 10 cm[tex]h[/tex] = 10 cmSubstituting the given values into the formula:
[tex]\implies \textsf{Volume}=11 \cdot 10 \cdot 10 = 1100\: \sf cm^3[/tex]
is 2/100 equivalent to 2/10
Answer:
no, because 2/10 is actually bigger than 2/100
Step-by-step explanation:
because if you think about a fraction as a part of a circle, and each of the denominators standed for one piece of the circle, then there would be way more pieces on the 100 circle and they would be smaller, thus, making 2 of them worth less than 2 of the circle with only 10 pieces.
I need help! How do you put this into factored form?
y= 6x^2 - 11x - 7
[tex]6x^2-11x -7\\\\=6x^2+3x -14x -7\\\\=3x(2x+1) -7(2x+1)\\\\=(2x+1)(3x-7)[/tex]
It is estimated that 60% of U.S. households subscribe to cable TV. You would like to verify this statement for your class in mass communications. If you want your estimate to be within 5 percentage points, with a 95% level of confidence, how many households should you sample
Using the z-distribution, as we are working with a proportion, it is found that you should sample 577 households.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
In this problem, the estimate is of [tex]\pi = 0.6[/tex], and we want a margin of error of M = 0.05, hence we solve for n to find the sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.6(0.4)}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96\sqrt{0.6(0.4)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.6(0.4)}}{0.05}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.6(0.4)}}{0.05}\right)^2[/tex]
[tex]n = 576.24[/tex]
Rounding up, you should sample 577 households.
More can be learned about the z-distribution at https://brainly.com/question/25890103
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Bob knew that he was standing 50 feet from the base of a flag pole and was looking up at a 25° angle. How tall the flag pole?
Perpendicular we need(Let it be P
Base=B=50ftSo
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tan25=\dfrac{P}{50}[/tex]
[tex]\\ \rm\Rrightarrow P=50tan25[/tex]
[tex]\\ \rm\Rrightarrow P=23.31ft[/tex]
what is the slope of the line that passes through -14, 13 and 7, 0
Slope = change in y / change in x
slope = (0 - 13) / (7 - -14)
slope = -13/28
Bame has a bag of $1 and $2 coins
The total mase of the coins is 71.4 grams
Bame knows that
• the mass ofa$1 coin is 9 grams and
* the mass of a $2 coin is 6.6 grams
What is the value of the coins in a bag
Answer:
$13
Step-by-step explanation:
9x + 6.6y = 71.4
6.6(4) = 26.4
71.4 - 26.4 = 45
9 / 45 = 5
$2 = 4
$1 = 5
$2 * 4 = $8
$1 * 5 = $5
$8 + $5 = $13
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.
Step-by-step explanation:
Length = 6x
width = let x be width
Perimeter = 84 in
Now
Perimeter = 2 ( l + b )
84 = 2 ( 6x + x )
84 = 2 × 7x
84 / 2 = 7x
42 = 7x
x = 42 / 7
x = 6
now
width = 6 yards
length = 6x = 6 × 6 = 36 yards
now
area = l × b
= 6 × 36 yd
= 216 yd²
Solve the system of equations.
−4x+11y=15
x=2y
Factor out the greatest common factor 45d^3-18d^2
Answer:
9d^2(5d−2)
Step-by-step explanation:
Simplify: 4y + 3 +9y+ 6
O 13y + 9
O 22y
O 7y + 15
O 22
Answer:
13y+9
Step-by-step explanation:
You can add 4y and 9y because they are like terms , and the same for 3+6.
4y+9y and 3+6
13y + 9
hope this helps
How do you write 9 1/10 as a decimal?) *
Answer:
Convert 9 1/10 to an improper fraction.
Decimal form
=9.1
Answer:
9.1
Convert [tex]9\frac{1}{10}[/tex] to [tex]9 + 1/10[/tex][tex]\frac{1}{10}[/tex] is the same as 1 divided by 10, which is 10, for this case 0.10Therefore, [tex]9 + 0.1 = 9.1[/tex]There are other, more complicated ways to do this, but we must start with an easier, understandable way first.
__________________________________________________________
Questions?Ask in the comments box.
Convert 1/5 to the neatest tenth
Answer:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
1 / 5 = 0.20
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 20
Now, we will make the Fractional Part just one digit (nearest tenth) by using our rounding rules.*
In this case, Rule I applies, so 1/5 (or 0.20) rounded to the nearest tenth in decimal format is:
0.2Answer:
1.1
Step-by-step explanation:
If the digit after tenth is greater then or equal to 5, add 1 to the tenth.
[4+3]
2071 Q. No. 14 (0)
State Bolazano Weirstrass theorem. If A is any set in R then prove A = AUA'. [1+3]
2071 Q. No. 14 (ii) a
Define isolated point.
And find the isolated point for the set A = (0, 1){2}.
2072 Q. No. 2
The notation A = {0,1, 2} is an illustration of sets
The set A do not have isolated points
What is an isolated point?
An isolated point is an element of a set that belongs to a set A and any neighboring sets N, such that the set N do not contain other elements of set A
The isolated point for set A?The set A is given as:
A = {0,1, 2}
The elements of the set A do not exists in other sets
So, we can say that set A do not have isolated points
Read more about sets at:
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A small squad of soldiers came to a
river they had to cross. The bridge
was damaged and the water was too
cold. Everyone thought there was no
hope for them to get to their dinner
on time. Just then, Officer Bill saw
two boys on a boat, but the boat was so small that the most it
could hold was only one soldier or only two boys.
All the soldiers got across the river using this boat. How did
they do it?
Answer:
maybe they could be on opposite sides?
Step-by-step explanation:
Which of the following statements are correct?
Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.
Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5
Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7
Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6
What are the Angles Formed by a Transversal and Parallel Lines?The congruent angles that are formed are:
Alternate interior anglesCorresponding anglesAlternate exterior anglesThe supplementary angles formed are: Same-side interior/consecutive angles.
Therefore, the following are true of the angles shown in the diagram given:
Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6Learn more about angles on:
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A person invest $8800 in an account at 7% interest compounded annually. When will the value of the investment be 13,200? (Type an integer or decimal rounded two decimal places as needed)
Answer:
21.43
Step-by-step explanation:
Turn 7 percent to a decimal: 0.07
8800 × 0.07 = 616
13,200÷616=21.4285 etc
Round two decimal places
21.43
Please help I'll mark brainliest
Answer:
I think it should be 80-89.
Because the mode can't be between 70 and 70 that wouldn't make sense. Basically 70 and 70 will equal 0 in between so it wouldn't be the best choice.
Jordan has a part-time job selling candy. He works 3 hours each day. The function p(x) = 12 + 2x models his daily earnings, where x is the number of candies he sells during the day. Jordan sells 10 to 23 candies per day. Which interval contains all of the values in the range of the function?
The interval contains all of the values in the range of the function 32 to 58 dollars.
How to find the ranges of the function?The function is as follows:
p(x) = 12 + 2x
where
x = number of candies sold during the day.He sells 10 to 23 candies per day.
Therefore,
x = 10 and x = 23
Hence,
p(10) = 12 + 2(10) = 12 + 20 = 32
p(23) = 12 + 2(23) = 12 + 46 = 58
Therefore, the interval contains all of the values in the range of the function 32 to 58 dollars.
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The blue dot is at what value on the number line?
Answer:
i believe the blue dot is -28
