Answer:
r = 9 m
Step-by-step explanation:
The volume of a sphere is defined as:
[tex]V = \frac43 \pi r^3\\[/tex]
if this is equal to 972π, then r³ = 972 * 3/4
so r = ∛729 = 9
Answer:
The radius of sphere is 9m.
Step-by-step explanation:
Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
Let V = 972π,
[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]972 = \frac{4}{3} {r}^{3} [/tex]
[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]
[tex] {r}^{3} = 729[/tex]
[tex]r = \sqrt[3]{729} [/tex]
[tex]r = 9metres[/tex]
hhhhhhhhhhheeeeeellllllllpppppp
Answer:
9(3+4)
Step-by-step explanation:
27+36
Factor out 9
9*3 + 9*4
9(3+4)
Answer:
9(3+4)
Step-by-step explanation:
First, list all the factors of the two numbers. Factors are numbers that evenly divide into a number.
Factors of 27: 1, 3, 9, 27
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Now, find the GCF. The GCF is the largest factor both numbers share. In this case, the GCF is 9.
Now, find the equivalent expression.
27+36
Distribute out a 9. Divide both numbers inside the parentheses by 9.
9(27/9+36/9)
9(3+4)
question in attachment
Answer:
a₁ = 3
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{6}[/tex] = 189 and r = 2, thus
[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is
a₁( 64 - 1) = 189
63a₁ = 189 ( divide both sides by 63 )
a₁ = 3
find the slope of the line that passses thruogh 1,5 and 10,9
Answer: The slope is 4/9 or -4/-9.
Step-by-step explanation:
(1,5)
(10,9) Find the difference in the y values and divide it by the difference in the x values.
5-9= -4
1- 10= -9
-4/-9= 4/9
so the slope is 4/9
Using the slope we could also find the y-intercept and write the equation.
5=4/9 (1) + b where b is the y-intercept
5= 4/9 + b
-4/9 -4/9
b= 41/9
Now we will have the equation y= 4/9 + 41/9
The given Stem-and-Leaf Plot displays the daily number of people who attended a 10-day carnival. What is the mean of the given data set? A. 69.7 people per day B. 71 people per day C. 65 people per day D. 70 people per day
Answer:
71 people per day for this qst
Answer:
the answer is actually A. 69.7
Step-by-step explanation:
i took the test a lot of times to get the answer
How many solutions does the equation 3x-10(x+2)=13-7x
Answer:
No solution
Step-by-step explanation:
1. Multiply the parenthesis by -10
2. Collect like terms
3. Cancel equal terms
4. You're left with -20=13, which is false. There is no solution.
A trader purchased 1,000 books at the rate of $5.40 per book and spent $200 towards transportation. If he wants to earn a profit of 12.5%, at what price should he sell each book?
( with explanation )
Answer:
$6.3
Step-by-step explanation:
Cost of one book = $5.40
cost of 1000 books = 1000* Cost of one book = $5.40*1000 = $5400
Transportation cost for all the books = $200
Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books = $5400 + $200 = $5600.
Given , trader wants to earn a profit of 12.5%
thus, we find 12.5 % of total cost incurred by trader
12.5 % of total cost incurred by trader = 12.5/100 * $5600. = $700
Thus, total profit for 1000 books will be $700
we know that
selling price = cost price + profit
therefore, in the given problem
selling price for 1000 books = total cost for 1000 books + total profit
substituting the value as calculated above
selling price for 1000 books = $5600 + $700 = $6300
To find selling price for one book, lets divide LHS and RHS by 1000
selling price for 1000/100 books = $6300/1000 = $6.3
Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.
someone pls help mee
Answer:
-1/2
Step-by-step explanation:
The formula for slope is: y1-y2/x1-x2
The points given are: (x coordinate, y coordinate)
In the formula,
y1 is the y coordinate of the first point
y2 is the y coordinate of the second point
x1 is the x coordinate of the first point
x2 is the x coordinate of the second point
This said, we can plug our points in.
5-(-1)/-3-9
Simplify.
5+1/-12
6/-12
Divide both the numerator and denominator by -6.
-1/2
Event A: lands on yellow.
Event B: lands on green.
Events A and B are a0 events.
Answer:
1/16
Events A+B are written (P) yellow : 1/4 * (P) green : 1/4
Ao event = (P) 1/4 * 1/4 = 1/16
Step-by-step explanation:
The probability of event A and event B is 1/16.
We have given that,
Event A: lands on yellow.
Event B: lands on green
Events A+B are written
yellow(P) = 1/4 * (P) green= 1/4
What is the meaning of probability?
Probability is defined as the likelihood of something occurring or the chance of something happening.
Ao event (P)=1/4 * 1/4
Event = 1/16
Therefore the probability of event A and event B is 1/16.
To learn more about the probability visit:
https://brainly.com/question/25870256
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anyone wanna help with this short chart right quick
Answer:
should look like this
Step-by-step explanation:
sorry for the messiness was a quick sketch
Solve this inequality.
8x + 6 < 54
A. x < 6
B. x < 7.5
C.x < 14
D. x < 384
Answer:
x < 6
Step-by-step explanation:
8x + 6 < 54
Subtract 6 from each side
8x+6-6 < 54-6
8x < 48
Divide each side by 8
8x/8 < 48/8
x < 6
The length of a rectangle is x. The length and width add up to 10 inches. What is the maximum area of the rectangle? Please provide steps on how solve!
Answer:
[tex]Area=25\,\,in^2[/tex]
Step-by-step explanation:
The length of the rectangle is unknown and is defined with the letter "x". Notice that the width of the rectangle is also unknown, so we can name it 'y".
Recall the formula for the area of a rectangle (length times width), and notice that it is this quantity the one we need to maximize (find the maximum possible value).
We use the other information provided to represent the rectangle's with (y) in terms of "x" :
length + width = 10 inches
x + y = 10
Therefore, y = 10 - x
Now we use this expression for "y" in the product for the area;
[tex]Area= x\,*\,y\\Area=x\,(10-x)\\Area=10x-x^2\\Area=-x^2+10x[/tex]
Notice that this quadratic expression corresponds to a parabola with branches pointing down (negative leading term), so its maximum value would be given at the vertex of the parabola.
Now recall that the formula for the x-value of a parabola's vertex when its function is of the form [tex]f(x)=ax^2+bx+c[/tex]
is given by:
[tex]x_{vertex}=-\frac{b}{2a}[/tex]
which in our case where "a" = -1 and "b" = +10, gives:
[tex]x_{vertex}=-\frac{b}{2a}\\x_{vertex}=\frac{-10}{2(-1)}\\x_{vertex}=\frac{-10}{-2}\\x_{vertex}=5[/tex]
Then the maximum value for the Area can be obtained by replacing "x" with "5" in the area formula:
[tex]Area=-x^2+10x\\Area=-(5)^2+10\,(5)\\Area=-25+50\\Area=25\,\,in^2[/tex]
Therefore, the area of the rectangle is [tex]25\,\,in^2[/tex]
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You
pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the
experiment.
Question Progres
izzes
Answer:
coin: ball:
1
head -- 6
7
1
tail -- 6
7
The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.
Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
H T
----------------- ---------------
1 6 7 1 6 7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}
Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.
Learn more about probability here:
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Find two numbers that differ by 8 and whose square roots differ by 1. Those two numbers are ___ and ____
Answer: 12.25 and 20.25
Step-by-step explanation:
20.25 - 12.25 = 8
Square root of 20.25 is 4.5
Square root of 12.25 is 3.5
4.5 - 3.5 = 1
Hope this helped
1) Factor x2 +7x+ 10.
The answer is (x+2)(x+5)
The middle number is 7 and the last number is 10.
What numbers when multiplied get 10 AND when added together get 7?
I hope this helped :)
Write (2y^2)^3 without exponents.
Answer:
Step-by-step explanation:
(2y²)³=2³×y^6=8y^6
=8×y×y×y×y×y×y
Anita took off in her helicopter from 129 meters below sea level.She later landed at a location 539 meter above
Answer:
668
Step-by-step explanation:
She starts at 129 below sea level so she has to travel 129 to get to sea level then she ends at 539 so she has to travel 539 to get to 539 above so we add both numbers to get the answer
Answer:
668
Explanation:
To solve this problem, add 539 and 129 meters together.
539 + 129 = 668
Therefore, 668 represents Anita's change in altitude.
What is the answer for this for a graph 3j>6
First divide both sides of the inequality by 3.
On the left, the 3's cancel and you're left with j
and on the right, 6 divided by 3 is 2.
So we have j >2 which is the solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on 2.
We use an open dot because j > 2 but it is not equal to 2.
Then draw an arrow to the left to
represent all numbers greater than 2.
distance between (2,3) and (6,8)
Answer: [tex]\sqrt{41}[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(6-2)^2+(8-3)^2} =\sqrt{4^2+5^2}=\sqrt{41}= 6.403124237432849[/tex]
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.
Answer:
2 and 3 are true
Step-by-step explanation:
1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.
2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.
3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.
4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.
Hope this helps!
Answer:
2 and 3
Step-by-step explanation:
How many 6 packs of soda do jace and jake need to buy if each person has one soda?
Answer:
3 6 pks are required
Step-by-step explanation:
There are 14 people at the party
14 = 6x where x is the number of 6 pks
Divide each side by 6
14/6 = 6x/6
2 1/3 = x
Since we cannot buy part of a 6 pk, we round up
3 6 pks are required
What is the perimeter of ΔWXY? 11.57 cm 12.22 cm 12.46 cm 14.50 cm
°ω°
Answer:
the answer is 14.50 cm
Step-by-step explanation:
i took the test, and found this answer by multiplying the given information: 2.93, 2.04, and 2.28 by 2 and then adding them together. that will then give you 14.5. i did it this way because we are dealing with midsegments in this problem. this is just my way of doing it. have a great day!
Answer:
D. 14.50 cm
Step-by-step explanation:
In the figure, BE||CD. Solve for x. Show your work.
Answer:
Answer is x = 15
Answer is given below with explanations.
Step-by-step explanation:
[tex]in \: the \: figure \: BE || CD \\ by \: thales \: theorem \\ \frac{AE}{ED} = \frac{AB}{BC} \\ on \: substituting \: the \: values \: from \: the \: figure \\ \frac{9}{6} = \frac{x}{10} \\ \frac{3}{2} = \frac{x}{10} \\ x = \frac{3 \times 10}{2} \\ x = \frac{30}{2} \\ x =15 \\ [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
How many faces does the rectangular solid have?
8
2
6
4
Answer:
This rectangular solid has 6 faces.
Step-by-step explanation:
The four sides and the top and bottom equal 6 faces.
Answer:
the answer is 6
Step-by-step explanation:
just count them
please ansswer need help sorting these
What is the solution to the equation 1/4x +2= -5/8x - 5
Answer:
x = -8
Step-by-step explanation:
1/4x +2= -5/8x - 5
Add 5/8x to each side
1/4x +5/8x +2= -5/8x+5/8x - 5
1/4x+5/8x +2= - 5
Subtract 2 from each side
1/4x+5/8x +2-2= - 5-2
1/4x+5/8x = - 7
Get a common denominator
1/4 *2/2 x + 5/8x = -7
2/8x + 5/8x = -7
7/8x = -7
Multiply each side by 8/7
8/7x * 7/8x = -7 *8/7
x = -8
Answer:
x=-8
Step-by-step explanation:
1/4x+2=-5/8x-5
find l.c.m=8
multiply through by l.c.m which is 8
x/4×8+2×8=-5x/8×8-5×8
2x+16=-5x-40
2x+5x=-40-16
7x=-56
divide both sides by 7
7x/7=-56/7
x=-8
Factor 4x2 - 16 using difference of two squares.
Answer:
4(x+2)(x-2)
Step-by-step explanation:
4x^2-16
4(x^2-4)
4(x+2)(x-2)
The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2
A rectangular lot is 50 meters wide and 90 meters long. Give the length and the width of another rectangular lot that has the same perimeter but a larger area.
Answer:
Length = 80 metres and Width = 60 metres.
Step-by-step explanation:
Given
Length = 90m
Width = 50m
Required
Dimension of another rectangle with the same perimeter but larger area;
Perimeter of a rectangle is calculated as thus;
[tex]Perimeter = 2(Length + Width)[/tex]
Substitute: Length = 90m and Width = 50m
[tex]Perimeter = 2(90m+ 50m)[/tex]
[tex]Perimeter = 2(140m)[/tex]
[tex]Perimeter = 280m[/tex]
Area of a rectangle is calculated as thus;
[tex]Area = Length * Width[/tex]
Substitute: Length = 90m and Width = 50m
[tex]Area = 90m * 50m[/tex]
[tex]Area = 4500m^2[/tex]
So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²
Using trial by error method;
Assume length of a rectangle is 80m;
This means the width must be 60m
Calculating the perimeter
[tex]Perimeter = 2(80m+ 60m)[/tex]
[tex]Perimeter = 2(140m)[/tex]
[tex]Perimeter = 280m[/tex]
Calculating the area
[tex]Area = 80m * 60m[/tex]
[tex]Area = 4800m^2[/tex]
Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.
Length = 80 metres and Width = 60 metres.
Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;
6. What is a reasonable temperature to cook a chicken?
a) 100°F b) 200°F c) 300°F d) 400°F
Answer:
200°F
Step-by-step explanation:
165 degrees Fahrenheit is the safe internal temperature for both the white meat and dark meat.
Answer:
The answer might be B. I hope this helps please tell me if right or wrong.
Step-by-step explanation:
Vivian worked 19 hours more than Malik last month. If Vivian worked 7 hours for every 2 hours that Malik worked, how many hours did they each work? Note: these are proportion problems
Answer:
Malik 7.6
Vivian 26.6
Step-by-step explanation:
Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:
V=3.5m where M is the number of hours Malik worked.
We know Vivian works 19 more hours than Malik and that in equation would be:
m+19 = V
So equate the two
3.5m = m+19
3.5m-m=19
2.55m=19
m=7.6
V=7.6+19 = 26.6
Mike wants to buy a 20 oz bottle of water for $4.00.
Mary isn't as thirsty and only wants an 8 ounce bottle of water for $1.75.
Mike says "its cheaper PER OUNCE to buy the 20 oz bottle of water." Mary disagrees.
Who is correct and why?
Answer: Mary is cheaper than mike
Step-by-step explanation:
Hopes this Helps