Answer:
The radius is 8 inches
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
Assuming you mean 320 pi for the volume
320 pi = pi r^2 ( 5)
320 =5pi r^2
Divide each side by 5pi
320 pi / 5pi = 5 pi r^2 / 5pi
64 = r^2
Take the square root of each side
sqrt(64) = sqrt(r^2)
8 = r
The radius is 8 inches
Answer:
[tex]\Huge \boxed{\mathrm{4.51 \ inches}}[/tex]
[tex]\rule[225]{225}{3}[/tex]
Step-by-step explanation:
[tex]V=\pi r^2 h[/tex]
The volume is 320 in³.
The height is 5 in.
[tex]320=\pi r^2 * (5)[/tex]
Solving for [tex]r[/tex].
Dividing both sides by 5.
[tex]64=\pi r^2[/tex]
Dividing both sides by [tex]\pi[/tex].
[tex]20.371833=r^2[/tex]
Taking the square root of both sides.
[tex]r= 4.513517[/tex]
The radius is 4.51 inches.
[tex]\rule[225]{225}{3}[/tex]
What’s the measure for angle C?
Answer:
152°
Step-by-step explanation:
Angles B and A of the isosceles triangle have the same measures, so we have ...
∠B = ∠A
(x -14)° = (x/2)°
2x -28 = x . . . . . . divide by °, multiply by 2
x = 28 . . . . . . . . . .add 28-x to both sides
Then the base angles, A and B, both have measure (x/2)° = 14°.
The third angle, C, will bring the total to 180°.
∠A + ∠B + ∠C = 180°
∠C = 180° - 2(14°)
∠C = 152°
Categorical(qualitative) or quantitative. Indicate whether quantitative data are continuous or discrete.
1. Gender
2. Age
3. Grade Point Average
4. Number of Courses Currently Enrolled
5. Enrollment Status (Part-Time or Full-Time)
Answer:
1. Gender - qualitative
2. Age - Quantitative (Discrete)
3. Grade point Average - quantitative (Continuous )
4. Number of courses currently enrolled - quantitative (discreet)
5. Enrollment Status - qualitative
Step-by-step explanation:
Qualitative variables are those which are non-numeric, usually made up of strings or words. The quantitative variables are numeric, usually composed of digits and numbers.
Discreet variables have a finite or limited number of values which are countable as opposed to continuous variables with a non-finite range and hence, uncountable.
Gender is a qualitative variable as it is composed of non-nemeric labels which could be either Male or Female.
Age - is numeric and hence quantitative, since age is usually expressed in years, hence it is discreet.
Grade point Average is a quantitative and continuous variable due to its numeric nature and the fact that it can take up an infinite number of possible values including decimal values.
Number of courses enrolled is numeric can take a finite number of values, hence, it is discreet.
Enrollment status is qualitative as it is split into :
Part time or full time.
00:00
The weights of babies born at a hospital in November are shown in a line plot.
How many more babies weighed 8 pounds than 61 pounds?
Newborn Weights
0
.
.
6
7
Pounds
Answer:
I think its 1 baby because the 6 1/4 is 2 babies and the 8 1/2 is 3 babies so if you subtract 3 from 2 you get 1.
One more baby weighed [tex]8\frac{1}{2}[/tex] pounds than [tex]6\frac{1}{4}[/tex] pounds.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that The weights of babies born at a hospital in November are shown in a line plot.
The babies weighed at [tex]8\frac{1}{2}[/tex] pounds are 3 babies.
The babies weighed at [tex]6\frac{1}{4}[/tex] pounds are 2 babies.
We have to find the number of babies weighed [tex]8\frac{1}{2}[/tex] pounds than [tex]6\frac{1}{4}[/tex] pounds.
So we have to subtract 2 from 3
3-2 is one
Hence, One more baby weighed [tex]8\frac{1}{2}[/tex] pounds than [tex]6\frac{1}{4}[/tex] pounds.
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n/12 = 300 n = pls help again
Answer: 3600
Step-by-step explanation: N= 3,600
3,600/12= 300
Answer:
n=0, or n=3600
Step-by-step explanation:
If your question is n/12 = 300n, n=0
Otherwise n/12=300, n=3600
Multiply both sides by 12 to isolate variable
Which set is closed under subtraction?
the set of whole numbers
the set of natural numbers
the set of rational numbers
the set of irrational numbers
Answer:
Set of rational numbers
Step-by-step explanation:
Answer:
the set of rational numbers
Step-by-step explanation:
Edge 2021
Write the following sentence using mathematical symbols. Twice the difference of x and 7 is greater than the reciprocal of 10.
Answer:
2(x-7) > 1/10
Step-by-step explanation:
The statement says, twice the difference of x and 7. This implies that it wants the difference of x and 7, x - 7, and it wants twice that difference so:
2 ( x - 7 )
The statement continues that this twice the difference of x and 7 is greater than the reciprocal of 10. The reciprocal of 10 is 0.1 or 1/10.
Hence, the statement should be written as such:
2 ( x - 7 ) > 1/10 OR 2 ( x - 7 ) > 0.1
Cheers.
Select the correct answer. A bottlenose dolphin is 10 feet below sea level. Then it begins to dive at a rate of 9 feet per second. What is the equation of the line that represents its elevation, y, after x seconds? A. y = 9x − 10 B. y = -9x − 10 C. y = 9x + 10 D. y = -9x + 10
Answer: y = -9x − 10
Step-by-step explanation: y represents the elevation of the bottlenose dolphin. The dolphin begins at 10 feet below sea level or -10. It then becomes to dive, go deeper under the water at a rate of 9 feet per second, or -9.
The equation y = -9x - 10 will equal the amount of feet below sea level that the dolphin is at. Below sea level will always be indicated with a negative number.
why is tan(20) = 3.64 in decimals instead of fractions or whole number?
tan(20) can be written in fractions if you want to, but it is easier to write it in a decimal number when it is punched into a calculator.
You can find the exact value of sin, cos, and tan for some values.
tan() is a trigonometric function that is used when calculating angles or side lengths in a triangle.
2. Sheldon was doing a science experiment about temperature. He first measured the
temperature of some water and found it was 17°C. Then he put the water in the freezer and
recorded the temperature two hours later. It had fallen to -11°C. What was the change in
temperature in two hours?
Answer:
Temperature dropped by 28°C in two hours
Step-by-step explanation:
Initial measurement:
t = 17°CMeasurement 2 hours later:
t = - 11°CThe difference:
-11°C - 17°C = -28°CTemperature dropped by 28°C in two hours
Find the measure of angle in the figure shown below (Please help)
Answer:
ans is 58°
Step-by-step explanation:
it is a straight line so the angle is 180°
so the angle of CED is
CED + 122° = 180°
CED = 180 - 122 = 58°
Please help asap thanks so much
Complementary and adjacent.
The two angles are complementary because they add up to 90°. It's given that line JL is perpendicular to line MN, and perpendicular means they form a 90° angle where they intersect.
The two angles are adjacent because they are next to each other.
16 p = 208 p = Pls help quick
Answer:
p=0
Step-by-step explanation:
When you isolate both variables, one side becomes 0.
Answer:
p = 0
Step-by-step explanation:
16p=208p
Subtract 208p from both sides.
16p−208p=0
Combine 16p and −208p to get −192p.
−192p=0
Product of two numbers is equal to 0 if at least one of them is 0. Since −192 is not equal to 0, p must be equal to 0.
p=0
Jess borrows 250 from the bank. The band chargEs 11% simple interest over 2 years.
How much will Jess owe the bank at the end of 2 years?
Answer:
$305
Step-by-step explanation:
You have to use the following formula to calculate the accrued amount:
A=P(1 + rt), where:
A= accrued amount
P= principal amount= $250
r= rate of interest= 11%
t= time period= 2 years
Now, you have to replace the values in the formula:
A=250*(1+0.11*2)
A=250*(1+0.22)
A=250*1.22
A=305
According to this, at the end of 2 years, Jess owes the bank $305.
what’s the probability of drawing a jack on the first draw and a 3 on the second draw
Answer:
jgvi hhvh ihvyv
Step-by-step explanation:
[tex]2(4z - 2) = 44[/tex]
can you help me
2(4z−2) = 44
Simplify both sides of the equation.
Distribute:
(2)(4z)+(2)(−2) = 44
8z + −4 = 44
8z − 4 = 44
Add 4 to both sides.
8z − 4 + 4 = 44 + 4
8z = 48
Divide both sides by 8
8z/8 48/8
z = 6
Answer:
z=6
Step-by-step explanation:
The question is on the picture.
A swimming pool holds exactly 184 cubic yards of water. Assuming that the depth of the pool is the same everywhere, what is the depth in meters if the pool is exactly 30.0 feet long and 20.0 feet wide
Answer:
The depth of the swimming pool is 2.52 meters
Step-by-step explanation:
To solve this problem properly, the first thing we are to do is to ensure that we are working in the same units at all points in time during the solution.
First of all, we will convert the length and breadth of the pool from feet to yards.
1 foot = 0.3333 yards
30 feet = 10 yards
20 feet = 6.67 yards.
The next step is to find the depth of the swimming pool using the volume and the available dimensions.
From the dimensions given, we can tell that the swimming pool will have a cuboidal shape. This means that the volume will be = length X breadth X depth.
hence we have
184 = 10 X 6.67 X depth
depth = 2.76 yards.
The final step will be to convert the answer we obtained in yards to meters.
1 yard = 0.9144metres
2.76 yards = 2.52 meters
The depth of the swimming pool is 2.52 meters
9. Find the slope of a line parallel to 3x - y = 1.
Answer:
slope = 3
Step-by-step explanation:
The slope of a line parallel to the given equation share the same slope. Note the slope intercept formula:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
First, isolate the variable, y. Subtract 3x from both sides:
3x (-3x) - y = 1 (-3x)
-y = -3x + 1
Next, divide -1 from both sides:
(-y)/-1 = (-3x + 1)/-1
y = 3x - 1
You are solving for the slope of a line parallel to the given equation. Since you are solving for parallel, the slope would be shared.
3 would be the slope of the line.
~
If you wish to have $60,000 in 8 years, how much do you need to deposit in the bank today if the account pays 9% using present value and future value.
Answer:
Amount to deposit= $26799.0
Step-by-step explanation:
Amount A = $60,000
Years t = 8 years,
Rate R = 9% .
A= p(1+r/n)^(nt)
60000= p(1+0.09/9)^(9*9)
60000= p(1+0.01)^(81)
60000= p(1.01)^81
60000= p(2.23888)
60000/2.23888= p
26799.1138= p
P= $26799.0
Amount to deposit= $26799.0
To be able to have $60,000 after 8 years at a rate of 9% per annum, the amount to deposit today is $30,111.98
You can solve this using the Future Value formula which is:
Future value = Present value x ( 1 + rate)^ number of years
You have everything except the present value so solve for it:
60,000 = PV x ( 1 + 9%)⁸
60,000 = PV x 1.9925626416901921
PV = 60,000 / 1.9925626416901921
PV = $30,111.98
In conclusion, you should deposit $30,111.98 today.
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Solve for x using
cross multiplication.
Answer:
Step-by-step explanation:
5X * 4-->20X
8(2X+3)--> 16X+24
20X=16X+24
4X=24
x=6
Answer:
x = 6
Step-by-step explanation:
(5x) ×4=8× (2x+3)
20x = 16x + 24
20x- 16x = 24
4x = 24
divide both sides by 4 to get the value of x
4x/4 = 24/ 4
x = 6
Eric Shotwell borrows $24,600 from a certain bank. The interest charge amounts to $8,592. What equal monthly payments (in $) must Eric make in order to pay back the loan, with interest, in 36 months?
Answer:
He will pay $922 Eve month where
$238.6667 is the interest in the payment
Step-by-step explanation:
Eric Shotwell borrows $24,600 from a certain bank. The interest charge amounts to $8,592 to be paid back in 36 months monthly.
Total money to be paid back
= 24600+8592
Total money to be paid back
= $33192
Now for each month in 36 months, a certain amount must be paid
That amount= 33192/36
= $922
But if the interest wasn't added
He'll pay= 24600/36
=$683.333
So the interest amount in the payment every month= 922-683.333.
= $238.6667
He will pay $922 Eve month where
$238.6667 is the interest in the payment
The calculation is as follows:Total money to be paid back
= 24600+8592
= $33192
Now for each month in 36 months, a certain amount must be paid
That amount= [tex]33192\div36[/tex]
= $922
Now in the case when the interest wasn't added
He'll pay= [tex]24600\div 36[/tex]
=$683.333
So the interest amount in the payment every month is
= 922-683.333.
= $238.6667
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If 7x + 4 = -19 + 5x, then 2x – 14 equals A) 23 B) -23 C) -3 D) 16 E) NOTA
Answer:
2x-14 = -37
Step-by-step explanation:
7x + 4 = -19 + 5x,
Subtract 5x from each side
7x-5x + 4 = -19 + 5x -5x
2x +4 = -19
Subtract 4 from each side
2x +4-4 = -19 -4
2x = -23
We want to find 2x -14
2x = -23
2x-14
-23-14
-37
Answer:
-37
Step-by-step explanation:
First, let's solve for x.
7x+4= -19+5x
Subtract 5x from both sides of the equation.
(7x-5x)+4= -19 (+5x-5x)
(7x-5x)+4=-19
2x+4=-19
Subtract 4 from both sides of the equation.
2x(+4-4)=(-19-4)
2x=(-19-4)
2x= -23
Divide both sides of the equation by 2.
2x/2= -23/2
x= -23/3
x= -11.5
Next, let's find what 2x-14 is equal to. Substitute -11.5 in for x.
2x-14
2(-11.5)-14
Multiply 2 and -11.5
-23-14
Subtract 14 from -23.
-37
2x-14 is equal to -37.
Which of the numbers below is less than zero? Select all that apply.
A) 1.2
B) 7/2
C)-3.5
D)-0.75
E)-1/3
C D E
Step-by-step explanation:
All the numbers above (C D E) are negative, making them less than 0.
Answer:
C, D, and E. They are all negative, which means they are less than zero.
1.2 and 7/2 are more than one. 7/2 simplifies to 3 1/2.
Been working for 30 minutes can’t wrap my head around this, need help fast!
Answer:
It's D.
Step-by-step explanation:
If you want me to explain it, I will. But it seems like you need the answer fast. So if you still don't understand it later, then I will try to explain it...but it'll take some time. :)
All you have to do is move all the points to the right 6 numbers because it says x+6. For example, A is (-5,-1). Move to the right 6 times, so (-5+6,-1) which is (1, -1). So the new point of A is (1, -1). Do the same with the others. Now that we got the new rectangle in the fourth quadrant, you want to move it counterclockwise around the origin, which is 0. Clockwise is like a clock, it goes around the middle going to the right. Counterclowise is the same, except it goes to the left around the middle of the clock. You can sort of apply that to this. Go counterclockwise around the middle, in this case being the origin, 0. Move the rectangle up to the first quadrant because counterclockwise is going around to the left. So, if the rectangle goes around to the left, then that means that it is now vertical...because it turns to the left making it straight if you go counterclockwise. Now the point A is on the bottom left because the rectangle got turned. If you turned it properly, then A should be at (1,1). Apply the same thing to the other points. D is the only one with point A being at the point (1,1), so that is correct. Check the other points anyway.
Find the distance between the pair of points.(-6, -20) and (-17, -22)
Answer:
Use the distance formula to determine the distance between two points.
5 √ 5
if it -9 now the temperature will drop 5 in two hours what will the temperature be in two hours?
Answer:It will be -14 degrees, because in the negative side, droping or subtracting, would instead be adding. -9 - 5 = -14.
9 + 5 = 14
Step-by-step explanation:
Equation:
8-9 = 3(4-5a)
Solution:
16-a =6(4-5a) (step 1)
16-a=24-5a (step 2)
16+ 40 = 24 (step 3)
4a=8 (step 4)
a=2
(step 5)
which statement describes the error in the solution?
Answer:
the answer is 988 .........
What is negative 500 minus 150 I think it’s -650 I’m helping my son
2w^3 – 32w
Factor a difference of squares
Answer:
[tex]=2w\left(w+4\right)\left(w-4\right)[/tex]
Step-by-step explanation:
[tex]2w^3 - 3\\\\\mathrm{Factor\:out\:common\:term\:}2w:\quad 2w\left(w^2-16\right)\\=2w\left(w^2-16\right)\\\\\mathrm{Factor}\:w^2-16:\quad \left(w+4\right)\left(w-4\right)\\=2w\left(w+4\right)\left(w-4\right)[/tex]
Answer:
[tex]=2w\left(w+4\right)\left(w-4\right)[/tex]
Step-by-step explanation:
[tex]2w^3 - 32w\\[/tex]
Factor out 2w from the expression
[tex]2w(w^2+16)[/tex]
Factor (w^2+16) according to difference of two squares principle
[tex](w^2 +16) = (w+4)(w-4)\\2w((w+4)(w-4)))[/tex]
(a) An astronomer's infrared telescope is able to detect radiation with a wavelength of 5.32 x 10-6 meters. Write this number in standard notation.
(b) The diameter of Saturn at its equator is approximately 121,000 kilometers. Write this number in scientific notation.
Answer:
a, 0.00000532 metersb, 1.21*10^5Step-by-step explanation
In this problem. we are required to re-write the given number from scientific notation to standard notation and from standard notation to scientific notation
Exercise a
5.32 x 10-6 meters.
Since we have 10-6, this tells us that we are meant to shift 6 decimal points to the left that is we have
0.00000532 meters
Exercise b
In this example, we are expected to shift 5 decimals away from the decimal point to the right to arrive at the answer therefore we have to multiply by 10^5
hence the equivalent figure in scientific notation is 1.21*10^5 hence
121,000 meters.
1.21*10^5 meters