Answer:
As Per Provided Information
A cylinder has a volume of 320 pi cubic inches and a height of 5 inches.
We have been asked to determine the radius of the cylinder .
Using Formulae
[tex] \purple{\boxed {\bf\: Volume_{(Cylinder)} = \pi {r}^{2}h}}[/tex]
Substituting the value and let's solve for radius .
[tex] \sf \qquad \longrightarrow \: 320 \pi \: = \pi \: \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 \cancel{\pi} = \cancel{ \pi} \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 = r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:r {}^{2} \: = \cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = \cancel\cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = 64 \\ \\ \\ \sf \qquad \longrightarrow \:r \: = \sqrt{64} \\ \\ \\ \sf \qquad \longrightarrow \:r \: = 8 \: inch[/tex]
Therefore,
Radius of cylinder is 8 Inches .A triangle has two sides of length 19 and 19. What is the largest possible whole-number length for the third side?
Answer: 37
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+19>x, meaning the maximum whole number value of x is 37.
Ava buys 3.5 pounds of strawberries for $2.99 per pound. How much does she spend?
Answer:
10.50$
Step-by-step explanation:
3 dollars a pound
3x3=9
half a pound, half the price which is 1.50$
9+1.50= 10.50
Answer:
$10.465 ≈ $10.47
Step-by-step explanation:
3.5 lb of strawberries * $2.99/lb of strawberries = $10.465 ≈ $10.47
Please mark as brainliest.
WILL GIVE BRAINLIST IF SHOWS MUST BE CORRECT
The number of goals scored by players on a soccer team is represented by the box plot below.
The measure of variability that best describes how the values in this data set vary is
A. Median
B. mean absolute deviation
C. interquartile range
D. mean
E. mode
because
A. there is an odd number of values in the data set
B. there is an outlier in the data set
C. the data distribution is symmetric
.
The measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.
What is a Symmetric Data Distribution in a Box Plot?A symmetric data distribution is depicted on a box plot when the median is in the middle of the rectangular box, and the whiskers are of almost the same length at both sides of the box. Such data distribution is said to be normally distributed.
A normally distributed data distribution is symmetric.
Interquartile range is a measure of variability in a box plot, which is the range of the rectangular box.
Therefore, the measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.
Learn more about Symmetric Data Distribution on:
https://brainly.com/question/304810
PLSS help important
(will gibe brainliest)!
I dont understand this
To form the vector notation for the translation:
--> must find how much the new graph moved horizontally from the old
graph
--> the graph moved 8 units horizontally
--> must find how much the new graph moved vertically from the old
graph
--> the graph moved 4 units vertically
In vector notation, that would be (8,4)
Hope that helps!
How do you write 1.27 repeating as a fraction
btw the repeating part is 7
Answer:
1 27/100
Step-by-step explanation:
I am doing a coordinate plane activity and i need help my teacher said it was going to be easy but to me it isn’t.
1. Find the common ratio of the geometric sequence
6, 30, 150, 750, ....
Answer:
Each number multiplies by 5
Step-by-step explanation:
6x5 = 30
30 x 5 = 150
150 x 5 = 750 etc.
What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over 2 endfraction right-bracket (–[infinity], [infinity])
The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].
What is the range of the function?Range of a function is the set of all the possible output values which are valid for that function.
The trigonometry function given in the problem is,
[tex]y = \sin^{-1}x[/tex]
The above function can be written as,
[tex]\sin y = x[/tex]
The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.
[tex]-1\leq x\leq1[/tex]
This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,
[tex]-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}[/tex]
Thus, the range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].
Learn more about the range of the function here;
https://brainly.com/question/2264373
Answer:
C {-pi/2,-pi/2}
Step-by-step explanation:
Solve for area and perimeter in each of the following problems. (2)
Step-by-step explanation:
Area =5m×11m=55m²
perimeter =(11m+5m)×2=52m
hope it helps!
A bird drops of stick to the ground from a height of 95 ft. The function h= 16t^2+95 gives the sticks approximate height h above the ground, in feet, feet r seconds. At above what time does the stick hit the ground
Answer:
2.44 seconds (above 2 seconds)Step-by-step explanation:
When the stick hits the ground it has the height of zero.
Substitute h with 0 and solve the given equation for t:
[tex]- 16t^2 + 95 = 0\\16t^2 = 95\\t^2 = 95/16\\t = \sqrt{5.93} \\t=2.44[/tex]
Find the area when the circumference is 50.24 cm
Answer:
201
Step-by-step explanation:
C = 2pi.R
50.24/2pi = R
R= 8
area = pi R² = pi x 8² = 201
Which is a better price: 5 for $1.00, 4 for 85¢, 2 for 25¢, or 6 for $1.10?
Answer:
2 for 25
Step-by-step explanation:
all you have to do is divide money by the number of items.
The area of a square is (9a2 − 24a + 16) square units. determine the length of each side of the square by factoring the area expression completely. show your work.
The school has $3,582 to spend on markers. Each package of markers costs $9. How many packages of markers can the school buy?
packages
Answer:
398
Step-by-step explanation:
3582 / 9 = 398
Alex wonders if the same proportion of people are left-handed in the United States and Canada. He wants to
obtain a random sample of people from each country to test if there is a significant difference between the
proportion of left-handed people in each country.
Which of the following is an appropriate set of hypotheses for Alex's significance test?
Answer:
Pu.s - pc = 0
Pu.s -pc ≠ 0
(Answer D)
Step-by-step explanation:
Kahn
The appropriate set of hypotheses for Alex's significance test is option D.
What is Hypothesis Testing?Hypothesis testing is the testing of the relationship between two variables for something we needed to test.
There is null hypothesis and alternate hypothesis.
Null hypothesis, H₀ is the statement we need to test.
Alternate hypothesis, H₁, is true if null hypothesis is false.
Here, given that,
Alex wonders if the same proportion of people are left-handed in the United States and Canada.
He wants to obtain a random sample of people from each country to test if there is a significant difference between the proportion of left-handed people in each country.
H₀ : there is no significant difference
H₁ : there is a significant difference
So the correct option is,
H₀ : p(U.S) - p(C) = 0
H₁ : p(U.S) - p(C) ≠ 0
Hence the correct option is D.
Learn more about Hypothesis here :
https://brainly.com/question/31319397
#SPJ2
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
Hello people ~
The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of rhombus in length is:
(a) 20 cm
(b) 8 cm
(c) 10 cm
(d) 9 cm
Answer:
(c) [tex]\displaystyle 10\:cm.[/tex]
Step-by-step explanation:
Split each diagonal in half and use the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = c^2 \hookrightarrow 64 + 36 = c^2 \hookrightarrow \sqrt{100} = \sqrt{c^2} \\ \\ \boxed{10 = c}[/tex]
I am joyous to assist you at any time.
Diagonals of a rhombus are perpendicular to each other .
Perpendicular=P=16/2=8Base=B=12/2=6We need Side
Hypotenuse=HUse Pythagorean theorem
[tex]\\ \rm\rightarrowtail H^2=P^2+B^2[/tex]
[tex]\\ \rm\rightarrowtail H^2=6^2+8^2[/tex]
[tex]\\ \rm\rightarrowtail H^2=10^2[/tex]
[tex]\\ \rm\rightarrowtail H=10cm[/tex]
The sum of one third of a number and 2 1/3 is 9 find number
Answer:
20
Step-by-step explanation:
The given relation can be written as the 2-step linear equation ...
(1/3)n +2 1/3 = 9
n +7 = 27 . . . . . . . . . step 1: multipy by 3 (makes the coefficient = 1)
n = 20 . . . . . . . . . . . step 2: subtract 7 (separates variable from constant)
The number is 20.
_____
Additional comment
Usually it is convenient to do the two steps in the opposite order: get the variable term by itself, then make its coefficient 1. Here, we chose the order we did because it eliminated fractions from the problem, which is often a step you'd like to do first.
pls help. it’s due tomorrow.
Answer:
the rest aren't wholly visible;like the signs under the letters
Step-by-step explanation:
11, 15, 19, 23, 27intervals of +4
18, 13, 8, 3, -2intervals of -5
What is 9 to the of 3
Answer:
729
Step-by-step explanation:
The cheetah is the fastest land animal in the world. During a sprint, the number of feet a cheetah runs y varies directly with the amount of time in seconds x as shown in the table. Write and solve a direct variation equation to determine how far the cheetah can run in 5.5 seconds.
Step-by-step explanation:
[tex] \hookrightarrow \sf y = kx [/tex]
[tex] \sf where \: k \: is \: constant[/tex]
[tex] \sf \: k = \frac{y}{x} [/tex]
[tex] \hookrightarrow \sf \: k = \frac{y}{5.5} [/tex]
Equation = [tex] \sf \: k = \frac{y}{5.5} [/tex]
In a student union election of a school, 91% of boys and 84% of girls voted. It is kwon
Answer:
If there are 350 kids for example your answers would be:
Boys: 182
Girls: 168
Step-by-step explanation:
If you add those numbers together you'll get 350 again
Solve:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} [/tex]
→ Don't plagiarism
→ Perfect answer needed.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{6x + 1}{3} + 1 = \dfrac{x - 3}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{6x + 1}{3} - \dfrac{x - 3}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{12x + 2 - x + 3}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{11x + 5}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: {11x + 5}{} =- 6[/tex]
[tex]\qquad \sf \dashrightarrow \: 11x = -6 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: x = -1 [/tex]
Step-by-step explanation:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} \\ \frac{6x + 1 + 3}{3} = \frac{x - 3}{6} \\ 6( 6x + 4) = 3(x - 3) \\ 36x + 24 = 3x - 9 \\ 36x - 3x = - 9 - 24 \\ 33x = - 33 \\ x = - 1[/tex]
which of the following fractions is NOT equivalent to the others?
A. 24/36
B. 8/12
C. 12/16
D. 4/6
Answer:
C
Step-by-step explanation:
Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.
A. 24/36 = 2/3 (LCF of 12)
B. 8/12 = 2/3 (LCF of 4)
C. 12/16 = 3/4 (LCF of 4)
D. 4/6 = 2/3 (LCF of 2)
Answer:
C
Step-by-step explanation:
if you convert all of the fractions into decimal form the only answer that is not .6667 is c
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends. Which equation can he use to find p, the number of pencils each friend will receive? p 6 = 30 p minus 6 = 30 6 p = 30 StartFraction p Over 6 EndFraction = 30.
The equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're given that:
Sebastian has 30 pencilsSebastian will distribute p pencils to each of his 6 friends.Now, that means, if we collect all those p pencils, then they should be 30 in count.
Sum of pencils from 6 friends = p + p + p + p + p + p = 30
or
[tex]6 \times p = 30[/tex] (since p was added 6 times itself, so we write it as 6 times p)
we don't write the "×" sign, (Using sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together) Thus, the equation is 6p = 30 (well both equations are same).
Thus, the equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30
Learn more about forming equations here:
https://brainly.com/question/11938672
Answer:C
Step-by-step explanation:
An equation of a line through (1, 1) which is parallel to the line y = − 4 x 3 has slope:
Step-by-step explanation:
slope -4
equation of line = (y-y1)=m(x-x1)
eq. = (y-1)= -4(x-1)
y-1=-4x+4
4x+y=5slope of this line is -4x
MARK ME AS BRAINLISTA circle has (-1, -1) and (-25,-11) as endpoints of a diameter.
Find the center and radius of the circle.
Write the standard equation of the circle.
well, since we know the diameter points, half-way in between is the center
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -25 -1}{2}~~~ ,~~~ \cfrac{ -11 -1}{2} \right)\implies \left(\cfrac{-26}{2}~~,~~\cfrac{-12}{2} \right)\implies (-13~~,~~-6)[/tex]
and its radius will be half the length of the diameter
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-25 - (-1)]^2 + [-11 - (-1)]^2}\implies d=\sqrt{(-25+1)^2+(-11+1)^2} \\\\\\ d=\sqrt{(-24)^2+(-10)^2}\implies d=\sqrt{676}\implies d=26~\hfill \stackrel{half~that}{r=13}[/tex]
[tex]\rule{34em}{0.25pt}\\\\ \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-13}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{13}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-13)]^2~~ + ~~[y-(-6)]^2~~ = ~~13^2\implies (x+13)^2~~ + ~~(y+6)^2~~ = ~~169[/tex]
solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)
Answer:
[tex]\boxed{\sf{y=-5 \quad x=-18}}[/tex]Step-by-step explanation:
The terms x and y must be substituted to isolate one side of the equation.
y=5/6x+10 and -x+6y=-12First, you have to substitute by the y=5/6x+10.
[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]
Solve.
[tex]\sf{4x+60=-12}[/tex]
Subtract by 60 from both sides.
4x+60-60=-12-60
Solve.
4x=-72
Divide by 4 from both sides.
4x/4=-72/4
Solve.
Divide the numbers from left to right.
-72/4=-18
x=-18
Substitute: x=-18
[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]
Solve.
y=5/6(-18)+10=-5
y=-5
Therefore, the solution is y=-5 and x=-18, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Order Least to greatest
31/4 , 7.47, 7.706, 7 7/10
Answer:
Okay ordering them from least to greatest would be 7.47, 7.70, 7.706, and then 7.75.
Step-by-step explanation:
31/4 can also be simplified into 7.75
7.47 stays the same
so does 7.706
and 7 7/10 can be simplified into 7.70
So the order would be 7.47, 7.70, 7.706, and then 7.75.
If y = 35 when x = 140, what is the value of y when x = 70?
Answer:
17.5
Step-by-step explanation:
x and y are in the ratio: 1 : 4
which means that if y is 35 x is 4 times y equating to 140
hence if x is 70 then y is 17.5