Answer:
Volume of the cube is [tex]64x^9[/tex].
Step-by-step explanation:
Given:
Volume of the cube [tex]V = L^3[/tex]
where [tex]L[/tex] ⇒ side length
side length [tex]L =4x^3[/tex]
We need to find the Volume of the cube.
Solution:
Now we know that;
Volume of the cube [tex]V = L^3[/tex]
But side length [tex]L =4x^3[/tex]
So we will substitute the value of L in above equation we get;
Volume of the cube [tex]V = L^3=(4x^3)^3[/tex]
Now by using Law of indices which states [tex](a^m)^n=a^{mn}[/tex]
So we can say that;
Volume of the cube [tex]V = L^3=(4x^3)^3=4^3x^{3\times3}=64x^9[/tex]
Hence Volume of the cube is [tex]64x^9[/tex].
-100 + (n − 2)2 = 149.
Answer:
Simplify
Please mark my answer as brainliest so that I can level up!!!!
Step-by-step explanation:
(n-2)2=249
n-2=124.5
n=126.5
Let v⃗ 1=⎡⎣⎢⎢⎢0.50.50.50.5⎤⎦⎥⎥⎥, v⃗ 2=⎡⎣⎢⎢⎢0.50.5−0.5−0.5⎤⎦⎥⎥⎥, v⃗ 3=⎡⎣⎢⎢⎢0.5−0.5−0.50.5⎤⎦⎥⎥⎥. v→1=[0.50.50.50.5], v→2=[0.50.5−0.5−0.5], v→3=[0.5−0.5−0.50.5]. find a vector v⃗ 4v→4 in r4r4 such that the vectors v⃗ 1v→1, v⃗ 2v→2, v⃗ 3v→3, and v⃗ 4v→4 are orthonormal.
To find a fourth vector v₄ that is orthonormal with vectors v₁, v₂, and v₃, you must find the values of v₄ such that the dot product of v₄ and each other vector is zero and v₄'s magnitude is one. This results in a system of linear equations. Solving this system will give you the components of vector v₄.
Explanation:Given that the vectors v₁=[0.50.50.50.5], v₂=[0.50.5−0.5−0.5], and v₃=[0.5−0.5−0.50.5] are orthonormal, we need to find a fourth vector v₄ in R⁴ such that the set of these four vectors are also orthonormal. In an orthonormal set of vectors, each vector has a length (or magnitude) of one, and the dot product of each pair of different vectors is zero, indicating they are orthogonal or perpendicular to each other.
By inspection, we can see that the given vectors v₁, v₂, and v₃ already satisfy these conditions. So, the challenge is to find v₄ such that its dot product with each of the other three vectors is zero and its magnitude is one. Let's denote v₄ as [a, b, c, d].
Setting the dot product of v₄ and the other three vectors to zero gives the set of equations: 0.5a + 0.5b + 0.5c + 0.5d = 0, 0.5a + 0.5b - 0.5c - 0.5d = 0, and 0.5a - 0.5b - 0.5c + 0.5d = 0. Furthermore, to satisfy the condition that the magnitude of v₄ is one, we have the equation a² + b² + c² + d² = 1.
Solving these simultaneous equations will give the components of the vector v₄ that is orthogonal to v₁, v₂, and v₃ and has a magnitude of one, thus completing the orthonormal set.
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Let x denote the sum of two distinct numbers selected randomly from the set of numbers StartSet 1 comma 2 comma 3 comma 4 comma 5 EndSet . {1, 2, 3, 4, 5}. Construct the probability distribution for the random variable x.
Answer:
Step-by-step explanation:
Given:
The set of numbers {1, 2, 3, 4, 5}
Affter that, we find the sum um of two distinct numbers selected randomly from the set above;
1+2 =31+3=41+4=51+5=62+3=52+4=62+5=73+4=73+5=84+5 = 9Therefore, we have the following number: 3,4,5,6,5,6,7,7,8,9
so we have x = {3,4,5,6,5,6,7,7,8,9 }
now we find P(x) of each number, we have n(S) = 10
x 3 4 5 6 7 8 9
P(x) 1/10 1/10 1/10 2/10 2/10 2/10 1/10
Hope it will find you well.
The probability distribution of a set gives the probabilities of possible outcomes of the set
The set of numbers is given as:
[tex]\mathbf{Set = \{1, 2, 3, 4, 5\}}[/tex]
Add two distinct numbers of the set.
The sum is as follows
[tex]\mathbf{1+2 =3}[/tex]
[tex]\mathbf{1+3=4}[/tex]
[tex]\mathbf{1+4=5}[/tex]
[tex]\mathbf{1+5=6}[/tex]
[tex]\mathbf{2+3=5}[/tex]
[tex]\mathbf{2+4=6}[/tex]
[tex]\mathbf{2+5=7}[/tex]
[tex]\mathbf{3+4=7}[/tex]
[tex]\mathbf{3+5=8}[/tex]
[tex]\mathbf{4+5 = 9}[/tex]
The sum of the distinct numbers are:
[tex]\mathbf{Sum = \{3,4,5,6,5,6,7,7,8,9\}}[/tex]
Calculate the probability of each number in the sum set i.e. 3, 4, 5, 6, 7, 8 and 9
[tex]\mathbf{P(3) = P(4) = P(5)= P(9)= \frac{1}{10} = 0.10}[/tex]
[tex]\mathbf{P(6) = P(7) = P(8)= \frac{2}{10} = 0.20}[/tex]
So, the probability distribution for the random variable is:
x - - P(x)
3 -- 0.10
4 -- 0.10
5 -- 0.10
6 -- 0.20
7 -- 0.20
8 -- 0.20
9 -- 0.10
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Plz help this is my last math question I need help with!
Answer:
He buys 8 desks and 6 chairs can i have branliest
Step-by-step explanation:
Set up a system of equations
desks = y chairs = x
x+y=14
125x + 515y = 4870
Eliminate,
-125x -125y = -1750
125x + 515 y = 4870
390 y = 3120
y = 8
substitute in 8
x + 8 = 14
x = 6
Answer:
Step-by-step explanation:
Let number of chairs be x and number of desks be y
Total number of chairs and desks = 14
x + y = 14 --------------(i)
Total cost = $ 4870
125x + 515y = 4870 ------------(ii)
Multiply equation (i) by (-125).
(i)*(-125) -125x - 125y = -1750
(ii) 125x +515y = 4870 {Now add}
390y = 3120
y = 3120/390
y = 8
Plug in value of y in equation 1
x + 8 = 14
x = 14 - 8
x = 6
Number of chairs = 6
Number of desks = 8
what is the hypotenuse
Answer:
c= I think its 112.5 but its probably wrong
Step-by-step explanation:
its the longest side on a right angled triangle
Answer:
15 miles.
Step-by-step explanation:
Since this is a right triangle, you have to follow the Pythagorean Theorem to solve this problem. The 2 sides-12 and 9 miles- are the known sides, and we have to find what is the value of c. The first Pythagorean Triplet(It is the pythagorean theorem, it just the triplets) is 3,4,5. If you multiple each of the numbers of any number, you will get another triplet. So, if you multiple 3,4, and 5 by 3, you will get 9, 12, and 15.
THREE FRIENDS WENT ON A TRIP TO THE STRIP OF LAS VEGAS. THE RATES FOR ROOMS IN THE SUMMER ARE USUALLY PRETTY INEXPENSIVE. THE THREE GOT A ROOM AT THE STRATOSPHERE FOR $60(all taxes and Resort fees included), SO THEY EACH PAID $20 PER PERSON AND WENT UP TO THE ROOM. AS THEY WERE UNPACKING, THE BELLHOP KNOCKED ON THE DOOR AND TOLD THEM THAT THE FRONT DESK SAID THE ROOM WAS ONLY SUPPOSED TO BE $55. SO HE HAD FIVE ONE DOLLAR BILLS TO GIVE BACK TO ONE OF THE FRIENDS. THAT FRIEND SUGGESTED THAT EACH GET $1, AND THE BELLHOP KEEP THE OTHER $2 AS AS TIP. SO, THAT IS WHAT THEY DID, AND THE BELLHOP LEFT. THEN ONE OF THE OTHER BUDDIES SAID, HOLD ON A MINUTE... WE ALL PAID $19 EACH FOR THE ROOM, SO, 3 X $19 = $57. AND WE GAVE THE BELLHOP $2, WHY DOESN'T IT ADD UP TO $60, SO WHAT'S UP? WHAT HAPPENED TO THE MISSING BUCK???
Answer:
$1 is a missing due to the addition of unrelated amounts.
$(20 - 1)×3 + $2
Can never be equal to
$20 × 3
Step-by-step explanation:
The statement in a nut-shell is
- The three friends paid $20 each initially, to make $60.
- $1 each was returned to them, so that they reduced the expenses, and paid $19 each, to make $57.
- They tipped a man $2.
WHY IS $57 + $2 ≠ $60?
That was so, because the amounts that were added weren't related.
If their total spending was what they wanted to calculate, it should have included the amount in the receipt of $55 payment received from the hotel.
The right calculation should have been:
$55 payment to the hotel
+
$3 change the three friends received ($1 each)
+
$2 tip they gave.
=
$60
You are painting a rectangular wall with length 5X to the second power seat and with 12 X feet. There is a rectangular door that measures X feet by 2 feet that will not be painted. What is the area of the wall that is to be painted? Write your answer in factored form
Answer:
It looks like you need to find the area of the wall and subtract the area of the door
(5x2 ∗ 12x) - (x ∗2x)
Simplify each term in the parentheses
60x3 - 2x2
Then we can factor that expression using the greatest common factor.
The GCF is 2x2 so we divide both terms by 2x2
2x2(30x - 1)
Step-by-step explanation:
Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags.
Answer:
The answer is (Choice C) It is just right.
Step-by-step explanation:
The question is incomplete, so the complete question is below:
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) It is too strong. (Choice B) It is too weak. (Choice C) It is just right.
Now, to find which of the choice is correct.
So, we find first the unit rate of Peggy's iced tea bags per liter:
If, Peggy made a 12-liter batch of iced tea with 90 tea bags.
Then, Peggy would made a 1-liter batch of iced tea with = [tex]\frac{90}{12} =7.5\ tea\ bags.[/tex]
Now, to get the unit rate of Kermit's iced tea bags per liter:
If, Kermit made a 2 liter of iced tea with 15 tea bags.
Then, Kermit would made a 2 liter of iced tea with = [tex]\frac{15}{2} =7.5\ tea\ bags.[/tex]
Thus, the quantity of tea bags per liter is same of both Kermit and Peggy.
Hence, Kermit will think of Peggy's iced tea that it is just right.
Therefore, the answer is (Choice C) It is just right.
Answer:
C
Step-by-step explanation:
Can any one please Help with 4
Answer: i believe they are compared to knights
Simplify the expression 0.8y-1.5-0.2y+3.6
Answer:
0.6y+2.1
Step-by-step explanation:
In this question, it is required to simplify the given expression i.e. 0.8y-1.5-0.2y+3.6. It can be done by combining like terms together.
Here y is a variable. We can combine y terms together such that we get :
[tex]=(0.8y-0.2y)-1.5+3.6\\\\=0.6y+2.1[/tex]
Hence, the simplified expression is 0.6y+2.1
Locate the y-intercept for the graph of the linear function, and for the equation of the linear function. Which has a larger y-intercept
y=-3/2x- 1/2
A. The graph has a larger y-intercept
B. the equation has a larger y-intercept
C. The y-intercepts are equal
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
y = -3/2x - 1/2
b = -1/2
To locate the y-intercept on the graph, find the point where the line crosses through the y-axis or the y-value when x = 0
I can't see the graph but hopefully this information helps you find the answer
Answer:
It’s A. The graph has a larger y/intercept.
Step-by-step explanation:
Tara combines 7.49 ounces of strawberries with 6.26 ounces of blueberries to make fruit bowls. She pours the fruit equally into 4 bowls, and has 0.43 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
3.33 ounces in each bowl
Step-by-step explanation:
7.49 + 6.26 = 13.75
subtract 0.43 and that equals 13.32
13.32 ÷ 4 = 3.33
I hope this helped :/
Tara has 3.33 ounces of fruit in each bowl. This is obtained by first adding and then subtracting the weight of strawberries, blueberries, and leftover fruit, followed by dividing by the number of bowls.
Explanation:We first add the weight of the strawberries and blueberries together to get the total fruit weight:
7.49 ounces (strawberries) + 6.26 ounces (blueberries) = 13.75 ounces (total fruit)
We then subtract the leftover fruit from the total:
13.75 ounces (total fruit) - 0.43 ounces (leftover fruit) = 13.32 ounces (fruit used in bowls)
Finally, we divide the total weight of the fruit used in the bowls by the number of bowls to find out how much fruit is in each bowl:
13.32 ounces / 4 bowls = 3.33 ounces per bowl
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The school wants to order a new countertop for the teacher's lounge. The shape of the countertop that they are replacing is shown below. A countertop can be broken into 2 rectangles. 1 rectangle has a base of 70 inches and height of 20 inches. The other rectangle has a base of 20 inches and height of 30 inches. If the new countertop costs $0.75 per square inch, what is the price of the replacement countertop? $1,500 $1,800 $2,000 $2,400
Answer:A.) 1,500
Step-by-step explanation:
Answer:
1500
Step-by-step explanation:
A business owner collected data on the people working for her company. She determined the average number of minutes each employee spent on breaks during an average workday. The data, broken up by gender, is shown below.
A box plot titled Number of Minutes Women Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 54, and the box ranges from 34 to 50. A line divides the box at 48.
Number of Minutes Women Spend on Breaks
A box plot titled Number of Minutes Men Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 68, and the box ranges from 36 to 60. A line divides the box at 48.
Number of Minutes Men Spend on Breaks
The business owner uses the median and IQR to determine the center and variability of the data sets. Which best describes the comparison?
The comparison would be more accurate using the mean and MAD because one of the graphs is symmetric.
The comparison would be more accurate using the mean and MAD because the median of both data sets is the same.
The comparison using median and IQR is best because one of the graphs is not symmetrical.
The comparison using median and IQR is best because the median is greater than the IQR for both data sets.
Answer:
The answer is D
Step-by-step explanation:
Hope this helps
Answer:
The answer is D.
Step-by-step explanation:
I took the test.
What is the 14th term of the geometric sequence 3,9,27,81,...
Answer:
4782969
Step-by-step explanation:
each sequence has its own rule in this cased it is times 3 you multiply each sequence until you get to the 14th one. therefore you get 4782969 hope this helps.
We are required to find the 14th term of the geometric sequence 3, 9, 27, 81,...
The 14th term of the geometric sequence 3, 9, 27, 81,... is 4,782,969
Given:
3, 9, 27, 81,...
First term, a = 3
Second term;
a × r = 9
3 × r = 9
3r = 9
r = 9/3
r = 3
number of terms, n
nth term = a × r^(n - 1)
14th term = 3 × 3^(14 - 1)
= 3 × 3^13
= 3 × 1,594,323
= 4,782,969
Therefore, the 14th term of the geometric sequence 3, 9, 27, 81,... is 4,782,969
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The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did the number of calories increase?
Answer: The number of calories increased by 20%.
Step-by-step explanation:
Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.
Previous number of calories he used to burn = 1,500
Increase in calories = 1800-1500=300
Now , the percent increase in calories = [tex]\dfrac{\text{Increase in calories}}{\text{previous calories}}\times100[/tex]
[tex]=\dfrac{300}{1500}\times100=20\%[/tex]
Hence , the number of calories increased by 20%.
Answer:
20%
Step-by-step explanation:
Which measures are $1 greater for Group B than for Group A?
the median and the mode
the mean and the range
the mean and the median
the mode and the range
Answer: C
the mean and the median
Step-by-step explanation:
From the attached table,
The range of group A = 5 - 0 = 5
The range of group B = 4 - 1 = 3
Difference in range is not equal to $1
The mode of A = 1
The mode of B = 3
Difference in mode is not equal to $1
The median of A = (1 + 2)/2 = 1.5
The median of B = 3
Difference = 3 - 1.5 = $1.5
The mean of A = 16/15 = 1.07
The mean of B = 40/15 = 2.67
The difference = $1.6
From the above analysis, we can therefore conclude that non of the measures are $1 greater for Group B than for Group A
The best option among the options is
the mean and the median
Answer:
the right answer is c. mean and the median
Step-by-step explanation:
because i took the test and got the answer right
The following data points represent the yearly salaries of high school cheerleading coaches in Dakota County (in thousands of dollars).
qquad 41,38, 36 , 57, 4341,38,36,57,4341, , 38, , 36, , 57, 43
Find the mean absolute deviation (MAD) of the data set.
_____ thousand dollars
Answer:
Step-by-step explanation:
I think the data is repeated
The given data should be
41, 38, 36, 57, and 43
So, we want to find the absolute mean deviation, absolute here means we will discard the negative sign and make it possible
So, let find the mean of data
X~ = Σx / N
x is the given data
And N is the number of data given
X~ = (41 + 38 + 36 + 57 + 43) / 5
X~ = 215 / 5
X~ = 43
The mean is 43, so we and to find now the data given deviate from the mean.
X....... X-X~.......….|X-X~|
36..... —7............... 7
38..... —5.............. 5
41...... —2............... 2
43....... 0.........., ...0
57...... 14............. 14
So, the sum of the mean deviation is expected to be 0
ΣX-X~ = -7 -5 - 2 + 0 + 14 = 0
As expected
But the sum of the absolute mean is
Σ|X-X~| = 7 + 5 + 2 + 0 + 14 = 28
The mean deviation is given as
M•D = Σ|X-X~| / N
M•D = 28 / 5
The mean absolute deviation is 5.6 thousand dollars
This question is not correct
Correct Question:
The following data points represent the yearly salaries of high school cheer leading coaches in Dakota County (in thousands of dollars). 43, 41, 38, 36 , 57. Find the mean absolute deviation (MAD) of the data set.
Answer:
5.6 thousand dollars
Step-by-step explanation:
Mean Absolute Deviation is mean of or the average of absolute deviation of a set of data from it's central point.
We were given the following sets of data in thousands( the yearly salaries of high school cheer leading coaches)
43, 41, 38, 36, and 57
We would determine the Mean Absolute Deviation in the following steps:
Step 1
The first step is calculate the mean of the salaries
= (43+ 41 + 38+ 36+ 57) ÷ 5
= 215 ÷ 5
= 43
The mean of the salaries is 43 in thousand dollars.
Step 2
The second step would be to find the absolute difference of the values by subtracting the mean of the salaries from each of the salaries of the high school teachers , find the absolute values, after which we would sum up this absolute values together and divide by the number of the observed values
The number of observed values = 5
[|43 - 43| + |41 - 43| + |38- 43| + |36 - 43| + |57- 43| ]÷ 5
= 0 + |- 2|+ |- 5 |+|-7| + |-14| ÷ 5
= (0 + 2+ 5 +7 + 14) ÷ 5
= (28 ÷ 5) in thousand dollars
= 5.6 in thousand dollars
Therefore, the mean absolute deviation (MAD) of the data set in thousand dollars is 5.6.
Place a number in each box so that each equation is true and each equation has at least one negative number. Choose a number single-digit number starting with the positive number, negative number - not ZERO 2^_x2^_=2^0
Answer:
x=1, y=-1
Step-by-step explanation:
Given the equation: [tex]2^{x}X2^{y}=2^0[/tex]
where x and y are the blank boxes.
We want to find
A positive value of xA negative value of yThat makes the equation true.
If x=1, y=-1
[tex]2^{1}X2^{-1}=2^0[/tex]
This can be confirmed using addition law of indices([tex]a^x+a^y=a^{x+y}[/tex])
[tex]2^{1}X2^{-1}=2^{1+(-1)}=2^{1-1}=2^0[/tex]
In general, any pair of a number and its negative value will satisfy the equality.a. -5
b. -2
c. -3
Let's fill in the blanks for each equation:
a.[tex]\( 2^5 \times 2^{(-5)} = 2^0 \)[/tex]
b. [tex]\( 2^3 / 2^5 = 2^{(-2)} \)[/tex]
c. [tex]\( 2^{(-3)} \times 5^{(-3)} = 10^{(-3)} \)[/tex]
For each equation:
- In (a), [tex]\( 2^{(-5)} = \frac{1}{32} \)[/tex], which is a negative exponent.
- In (b),[tex]\( 2^{(-2)} = \frac{1}{4} \)[/tex], another negative exponent.
- In (c), [tex]\( 10^{(-3)} = \frac{1}{1000} \)[/tex], a negative exponent.
So, the numbers to fill in the blanks are:
a. -5
b. -2
c. -3
Complete question
Place a number in each box so that each equation is true and each equation has at least one negative number.
a. 2^5* 2^(□)=2^0
b. 2^3/2^5 =2^(□)
C. 2^(-3)* 5^(-3)=10^(□)
Rewrite the following equation in logarithmic form:
16 = 8^4/3
Answer:
Log8(16)=4/3
Step-by-step explanation:
LogA(B) =C is same thing as A^C=B every single time
The given equation 16 = 8^4/3 can be written in logarithmic form as log8(16) = 4/3.
Explanation:The given equation, 16 = 8^4/3, can be rewritten in logarithmic form as log8(16) = 4/3.
In logarithmic form, the base (8) becomes the subscript of the logarithm, the number being raised to the power (16) becomes the argument of the logarithm, and the result of the exponentiation (4/3) becomes the value of the logarithm.
Therefore, the equation 16 = 8^4/3 can be written as the logarithmic equation log8(16) = 4/3.
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What is the arc measure of CD in degrees?
в
с
(20k + 4)
D
р
(33k — 9)°
,
Answer:64
Step-by-step explanation:
the most efficient first step in the process to factor out the trinomial 2x3-18x2+40x is: A) Factor out -1 B) Factor out 2x C) Factor out (x-5) D) Factor out 2
Answer:
B) Factor out 2x
Step-by-step explanation:
Final answer:
The most efficient first step in factoring the trinomial 2x³ - 18x² + 40x is to factor out the greatest common factor, which is 2x. Therefore, the correct option is B.
Explanation:
The most efficient first step in factoring the trinomial 2x³ - 18x² + 40x is to factor out the greatest common factor that appears in each term of the trinomial. Looking at the coefficients and the variable parts, we can see that each term is divisible by 2x. Therefore, the correct answer is B) Factor out 2x. This is the most efficient first step because it simplifies the trinomial into a binomial multiplied by the common factor, making the remaining factoring process easier.
Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's. He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays. How many total miles does Michael walk his dogs each week?
Answer:
Total for the week T;
T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles
T = 7.17 miles
Step-by-step explanation:
Given;
Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's.
On four days = 1 2/3 = 5/3 miles per day
Total for the 4 days = 4 × 5/3 = 20/3 miles
He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays
On 3 days = 1/6 miles per day
Total for the 3 days = 3 × 1/6 = 3/6 miles
Total for the week T;
T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles
T = 7.17 miles
There were 34 balloons at the beginning of a party. By the end of the party, m of them had popped. Using ,m write an expression for the number of balloons that were left.
Answer:
34-m
Step-by-step explanation:
BRAINLIEST PLZ, ITS RIGHT IM AN EXPERT
Identify the volume and surface area in terms of π of a sphere with a great circle area of 225π ft2
V = 900π ft3; S = 4500π ft2
V = 4500π ft3; S = 900π ft2
V = 300π ft3; S = 900π ft2
V = 900π ft3; S = 300π ft2
Answer:
B (V = 4500π ft3; S = 900π ft2)
Step-by-step explanation:
If the great circle's area is 225pi, that makes the radius sqrt225 = 15
The volume of a sphere is (4/3) pi r^3, so the volume would be 3375 * 4/3 pi= 4500pi
The surface area of a sphere is 4 pi r^2, so the Surface area would be 4 * 225 pi = 900pi
That makes the answer B (V = 4500π ft3; S = 900π ft2)
A recipe for a apple cider calls for 4 cups of apple and 3 cups of water. Witch equation can be used to find x, the percent of a apple juice in the recipe?
A.4/3=x/100
B.3/4=x/100
C.7/3=100/x
D.7/4=100/x
Idk can ya help me I think is b but am not sure what do you think?
The percent of apple juice in the recipe is D.7/4=100/x
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that Ratio of apple juice to water is 4 : 3 = Y i.e 4+ 3 = 7
To find the exact percent of apple juice used in the recipe, we will use the ratio of juice to water provided, given Y as any amount of apple cider.
The equation 4/7 × Y = amount of apple juice.
for percentage, 4/7 × Y × 100 = amount of apple juice.
In 200ml apple cider, the amount of apple juice presented as;
= 4/7 × 200 = 114.2ml of juice
To make up to 00ml cider, add (200-114.2) ml of water.
Hence, the percent of apple juice in the recipe is D.7/4=100/x
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What is the volume of this rectangular prism?
A rectangular prism with a length of 6 and one-fourth foot, a width of 14 feet, and a height of 3 feet.
87 and one-half feet cubed a
131 and one-fourth feet cubed b
252 feet cubed c
262 and one-half feet cubed d
Mark this and return
Answer:
262 1/2 cubic feet
Step-by-step explanation:
The volume of a prism is (length)(width)(height).
Here we have
V = (6 1/4 ft)(14 ft)(3 ft)
Converting 6 1/4 ft to an improper fraction, we get 25/4.
Then the above product is V = (25 ft/4)(14 ft)(3 ft) = 262 1/2 cubic feet
The volume of the rectangular prism is 262.5 cubic feet. Thus, the correct option is D.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,
V = L x W x H
A rectangular prism with a length of 6 and one-fourth feet, a width of 14 feet, and a height of 3 feet. Then the volume of the rectangular prism is calculated as,
V = (6 + 1/4) x (14) x (3)
V = 25/4 x 42
V = 1050/4
V = 262 + 1/2 cubic feet
V = 262.5 cubic feet
Thus, the correct option is D.
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The graph of a hyperbola has two disconnected parts called
A hyperbola is simply an open curve that has two branches.
The disconnected parts of the graph of the hyperbola are the branches.
See attachment for an illustration of an hyperbola.
From the graph, we have the following highlights.
The graph is disconnected on two sides.These two sides face opposite sidesThese two sides extend in both directions.The opposite sides (and disconnected parts) are the branch of the hyperbola
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3.2.PS-31 Jason has 26 strawberry scones and 65 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of strawberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can fill? Explain how you know.
Answer:
The answer is 13
Step-by-step explanation:
To find this we have find greatest common factor of 26 and 65 which turns out to be 13
To prove this answer we divide the number of scones to 13
26/13=2 scones of strawberry in each bag
65/13=5 scones of blackberry in each bag
2 and 5 will be found in each of the 13 bags.
Hope it helped.
The required greatest number of bags Jason can fill is 13.
Given as Jason has 26 strawberry scones and 65 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of strawberry scones and an equal number of blackberry scones.
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
strawberry scones = 26
blackberry scones = 65
Taking the greatest common factor for the number of bags that can be filled with scones,
HCF [26, 65] = 13
Thus, the required the greatest number of bags Jason can fill is 13.
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Check all that apply
Answer:
The first and last option.
Step-by-step explanation:
This is true because in the first chart, different y values correspond to different x values. In the other chart and option, the same y value corresponded to multiple x values - when this happens, it is not a function. This is why the first option is a function. In the last option, you gave an equation to a parabola. When graphed, the parabola opens downwards. Only parabolas that open upwards or downwards are considered functions. Parabolas that open left or right are not considered parabolas. You can test whether or not a parabola is considered a function by conducting the "Vertical Line Test."
Answer:
To determine if they are functions or not, each y value needs to have only one x value. There should never be 2 values with the same x.
The first one is a function.
The second one is not a function because there are two coordinates that have -1.
The third on is not a function because there are two of them that have 0.
The fourth one is a function because when listing the inputs and outputs, there are different x values for each y value.
Hope this helps ;)