Answer:
235.62 Cubic centimeters
Step-by-step explanation:
[tex]v = \frac{1}{3}\pi \: r {}^{2} h \: = \frac{1}{3} \times \pi \times 5 {}^{2} \times 9 \\ \\ = 75\pi = 235.62[/tex]
Answer:
235.62 Cubic centimeters
Step-by-step explanation:
have a nice day.
Find the surface area of the composite figure 2 cm 2 cm 6 cm 6 cm 4cm 4 cm 5 cm 10 cm
Answer:
=268 cm²
Step-by-step explanation:
S=(4×10+4×5+5×10)×2×6×4=268cm²
The surface area of the composite figure = the surface area of the bottom cuboid + the flank area of the top Cuboid
How many ounces are in 14 pounds
Answer: 224 ounces are in 14 pounds
Step-by-step explanation:
1 pound = 16 ounces
*14 *14
14 pounds = 224 ounces
Write an equation of the line that satisfies the given conditions.
Through (0,−4), perpendicular to the graph of x−3=−6. Answer in slope intercept form.
let's take a peek at the equation above
[tex]x-3=-6\implies x = -3\qquad \impliedby \textit{a vertical line}[/tex]
Check the picture below, there's no slope-intercept form per se for a horizontal line, unless you'd want to give it a slope of 0 and write it as y = 0x - 4.
-1/3x-4/3y=-2 1/3x-2/3y=4 using elimination
-1/3x-4/3y=2
1/3x-2/3y=4
First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition
Adding the two equations together gets
-6/3y=6
Simplify
-2y=6
y=-3
Substitute back into original equation
1/3x-2/3(-3)=4
1/3x+2=4
1/3x=2
x=6
Answer
x=6, y=-3
Check answer
-1/3(6)-4/3(-3) =?= 2
-2+4=2
2=2
Done!
Susan works part-time in a local video store. Her salary varies directly as the number of hours
worked. Last week she earned $144 for working 16 hours. This week she earned $378. How
many hours did she work this week?
Answer:
42 hours
Step-by-step explanation:
First divide 144 by 16 to get the money per hour wich is 9 then divide 378 by nine and you get the awnser, 42 hours.
Thank you
42 hours Susan worked this week to $378.
Given that, Susan's salary varies directly as the number of hours worked.
We need to find out how many hours did she work this week.
What is the direct variation?Direct variation is a type of proportionality wherein one quantity directly varies with respect to a change in another quantity. This implies that if there is an increase in one quantity then the other quantity will experience a proportionate increase. Similarly, if one quantity decreases then the other quantity also decreases. Direct variation is a linear relationship hence, the graph will be a straight line.
According to the question, last week she earned $144 for working 16 hours. This week she earned $378.
Let the number of hours she works this week be x.
So, the proportion is 144:16::378:x
⇒144×x=16×378
⇒x=42
Hence, 42 hours Susan worked this week to $378.
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what is the greatest common factor of 30 and 48
Answer:
6
Step-by-step explanation:
Answer:
The answer is 6.
Step-by-step explanation:
5x6=30, and 8x6=48. Hope this helps!
Find the exponential function that contains the points (2,10) and (3,5)
Step-by-step explanation:
you mean to say 2 to the power of 10 and 3 to the power of 5
GUYS ANSWER THIS PLSSS
The earth is approximately 8.0 times 10^3 miles in diameter, from pole to pole. What number is the distance equivalent to?
Answer:
8,000
Step-by-step explanation:
8 x 10 x 10 x 10
8 x 1,000
8,000
Hope that helps!
if sam can carve 1/6 block of wood and sam has 18 of wooden block how many would he have
Answer: 3 blocks
Step-by-step explanation:
18/6=3
Two lines are represented by the equations -1/2y=6x+10 and y=mx for which value of m will the lines be parallel
Answer:
-12
Step-by-step explanation:
So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).
Then, we need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. In this problem where can see the second equation is already in this form.
Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.
To do this, we know we need to make sure [tex]y[/tex] is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have [tex]-\frac{1}{2} y[/tex] so we have to divide both sides by [tex]-\frac{1}{2}[/tex] to get [tex]y=-12x -20[/tex]
Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or [tex]m[/tex] in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.
Which are difference of two squares? Select two options.
a x2 − 9
b x2 −100
c x2 − 4x + 4
d x2 + 10x + 25
e x2 + 15x + 36
Answer:
the answer will have to be c and d
The length of a square is 4y + 7. What is the perimeter of the square?
Answer:
Step-by-step explanation:
Perimeter of a square = 4 * Length of the square
Given
Length of a square = 4y + 7
Perimeter of the square = 4(4y+7)
Open the parenthesis
Perimeter of the square = 4(4y)+4(7)
Perimeter of the square = 16y + 28
Hence the perimeter of the square is 16y+28
I need assistance with rational expressions.
7. How many solutions are there to this equation?
7x - 3(x - 1) = 2(2x + 3)
A
no solution
B
exactly one solution
C
at least two solutions
D
infinitely many solutions
Answer: A) no solution
Step-by-step explanation:
1) 7x-3x+3=4x+6
2) 4x+3=4x+6
3) 3 is not equal to 6, so no solution
There is no solution of the given equation.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The equation is;
7x - 3 (x - 1) = 2(2x + 3)
Now, Solve the equation for x as;
7x - 3(x - 1) = 2(2x + 3)
7x - 3x + 3 = 4x + 6
4x + 3 = 4x + 6
Subtract 4x both side;
3 = 6
Clearly, 3 is not equal to 6.
So, There is no solution of the equation.
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Hi is this C, D or other? Which of these pairs are like terms?
20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The pair having like terms is ' A '
It has both terms of x, I.e 20x and 0.8x
ANSWER ASAP!
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
x+3y=0
The lateral edge of a square prism is 30 cm long and it is inclined at an
angle of 70 degrees with the base. If the volume of the prism is 1,500 cm3,
1. what is the base edge?
2. What is the lateral area of the prism?
3. What is the total area of the square prism?
Answer:
1
[tex]B = 7.07 \ cm[/tex]
2
[tex]A =848.4 cm^2 [/tex]
3
[tex]A_T = 948.37 \ cm^2 [/tex]
Step-by-step explanation:
From the question we are told that
The lateral edge of a square prism is [tex]d = 30 \ cm = 0.3 \ m[/tex]
The angle of inclination is [tex]\theta = 70^o[/tex]
The volume of the prism is [tex]V = 1500\ cm^3[/tex]
Generally the base of the prism is mathematically represented as
[tex]B = \sqrt{\frac{V}{ d} }[/tex]
=> [tex]B = \sqrt{\frac{1500}{ 30} }[/tex]
=> [tex]B = 7.07 \ cm[/tex]
Generally the lateral area of the prism is mathematically represented as
[tex]A = 4 * B * d[/tex]
=> [tex]A = 4 * 7.07 * 30 [/tex]
=> [tex]A =848.4 cm^2 [/tex]
Generally the total area of the prism is mathematically represented as
[tex]A_T = 2 * B + A[/tex]
=> [tex]A_T = 2 * (7.07) + 848.4[/tex]
=> [tex]A_T = 948.37 \ cm^2 [/tex]
A married couple buys 280 shares of stock for a total investment of $8,722. They decide to sell all of their shares in the fund at the listing value shown below. Name of Fund Offer Price NAV $31.05 CEH Mid-Cap $31.20 Determine if the couple makes a profit or loss, and how much per share. a. loss of $0.05 per share b. loss of $0.10 per share c. profit of $0.05 per share d. profit of $0.10 per share
The couple will make a loss of $0.10 per share.
What is the loss per share?
In order to determine the loss per share, the average total investment would be subtracted from the NAV. If the NAV is greater than the average total investment, the couple make a profit, if this is not the case, the couple would make a loss.
Average total investment = $8722 / 280 = $31.15
Loss = $31.05 - $31.15 = $-0.10
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Answer:
loss of $0.10 per share
Step-by-step explanation:
EDGE 2020
Please help!!!!!!!!!
Kara found two websites that she could use to download songs.
The first website charges a one-time membership fee of $5 and $0.99 per song.
The second website has a one-time membership fee of $10. In addition, the second website charges $0.89 per song.
Which equation could be used to determine how many downloaded songs, d, must be purchased for the cost at the two websites to be the same?
A. 5d + 0.99 = 10d + 0.89
A. , 5d + 0.99 = 10d + 0.89
B. 5+ 0.89d = 10 + 0.99d
B. , 5+ 0.89d = 10 + 0.99d
C. 5 + 0.99d = 10 + 0.89d
C. , 5 + 0.99d = 10 + 0.89d
D. 5d + 0.89 = 10d + 0.99
Answer:
c
Step-by-step explanation:
Use the order of operations to find the value of the following expression.
10^2 - 2 x (8) + 11
795
155
15
95
Answer:
95. So basically it's the last option. :,)
Step - Step Explanation:
10² - 2* 8 + 11
100 - 2*8 + 11
100 - 16 + 11
84 + 11
= 95.
Is the quotient of -125 and five positive negative or zero
Answer:
negative
Step-by-step explanation:
we know this because a negative divided by a positive is a negative
Answer:
Step-by-step explanation:
= -125 ÷ 5
= -25
It's negative
The sum of the measures of the angles below is 180*
Answer:
x = 45
(2x-10) = 80
x+10 = 55
Step-by-step explanation:
so, make an equation to find x:
x+2x-10+x+10 = 180
collect like terms
4x = 180 (divide both sides by 4)
x = 45
sub into the formulas:
x- 10 = 45+10 = 55
2 × 45 - 10 = 80
add them together to see if it is correct:
45 + 55 + 80 = 180
5
the square root of 55
7
the square root of 32
Answer:
the square root of 55, or 7.42
Step-by-step explanation:
Use the Pythagorean Theorem, or a²+b²=c², where a and b are the sides or "legs" of the triangle and c is the hypotenuse.
a is 3, b is x, and c is 9
If you plug that into the equation, you get 3²+x²=8²
We can make this 9+x=64 by squaring the 3 and 8.
Then we can subtract 9 from each side to get x=55.
Finally, take the square root of 55 to get √55 or 7.42.
I hope this helped!
What’s is the fraction in simplest form ? Of 9/12
Answer:
3/4
Step-by-step explanation:
The smallest number that makes 9 is three the smallest number that makes 12 is 4 because it cant go below 3
Answer:
3/4
Step-by-step explanation:
Both numbers can be divided by three.
9 divided by 3 is 3 and since the 9 was the numerator the three becomes your new numerator.
12 divided by 3 is 4 and since 12 was the denominator the four becomes your new denominator.
Hope this helps! Good Luck!
#14. Using the information from question #14, if you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.)
#15 Using the information from question #14, if you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.)
To save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.
What is an emergency fund?An emergency fund is a safety net used specifically to cover basic living expenses for at least 6 months in case future mishaps or unexpected expenses arise.
Financial experts generally recommend six months of basic living (fixed) expenses to put away in an emergency fund.
Data and Calculations:The amount to save in the emergency fund = $3,753.79 ($2,085.44 x 30% x 6)
50% of discretionary monies = $729.90 ($2,085.44 x 1 - 30%) x 50%
Months to save $3,753.79 saving $729.90 = 5 months ($3,753.79/$729.90)
Question Completion:Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund.
How many months will it take to fully fund it, excluding interest accrual?
Thus, o save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.
Learn more about discretionary expenses and emergency funds at https://brainly.com/question/422550
Answer:
To calculate this, we first need to find the amount of discretionary money left after paying fixed expenses:
Discretionary money = Realized income - (Fixed expenses as a percentage of realized income)
Discretionary money = $2,085.44 - (30% x $2,085.44)
Discretionary money = $2,085.44 - $625.63
Discretionary money = $1,459.81
We want to put 50% of this toward the emergency fund each month, so:
Emergency fund contribution per month = 50% x $1,459.81
Emergency fund contribution per month = $729.91
To find out how many months it will take to fully fund the emergency fund, we divide the total amount needed by the monthly contribution:
Number of months = (Total amount needed) / (Emergency fund contribution per month)
Number of months = $18,292.65 / $729.91
Number of months = 25.06
Rounded up to the nearest whole month, it will take 26 months to fully fund the emergency fund.
Therefore, the answer is:
26 months
A bicyclist going 35 mph can make it from 1st Street to the Boston Eatery in 45 minutes. How long (in minutes and seconds) will it take a motorcyclist going 40 mph?
Answer:
39.375 minutes
formula's:
distance = speed * time taken
time taken = distance/speed
speed = distance/time taken
here given:
speed: 35 mphtime = 45 minutes = 0.75 hourssolve for distance:
distance = 35 * 0.75distance = 26.25 miles1st Street to the Boston Eatery distance is 26.25 miles, which is constant.
If speed changes to 40 mph.
time taken = distance/speedtime taken = 26.25/40time taken= 0.65625 hours = 39.375 minutesHELPPP 50pts!!!
the next model of a sports car will cost 11.2% less than the current model. the current model costs $48,000. how much will the price decrease in dollars? what will be the price of the next model?
Decrease in price: $?
Price of model: $?
Answer:
final price $42,624
price decrease $5376
Step-by-step explanation:
multiply 11.2 percent by 48000 and then get the answer from that and subtract from total
Decrease:-
[tex]\\ \rm\Rrightarrow 0.112(48000)[/tex]
[tex]\\ \rm\Rrightarrow 5376\$[/tex]
New price:-
[tex]\\ \rm\Rrightarrow 48000-5376[/tex]
[tex]\\ \rm\Rrightarrow 42624\$[/tex]
Bailey Checks her time records to see how fast she runs each day. On Tuesday, She Ran 3 3/4 Miles. On Friday, she ran 7 2/8 miles. How many more Miles did she run on Friday than Tuesday?
Step-by-step explanation:
I guess, she is checking how FAR she runs each day (and not how fast ...).
how many more miles did she run on Friday ?
we get this by calculating the difference between the 2 values. that is what subtraction is for.
7 2/8 - 3 3/4
as long as we have the numbers as combination of full and fraction numbers, we can subtract the full numbers right away.
7 2/8 - 3 3/4 = 4 2/8 - 3/4
now we convert both numbers to full fractions :
4 2/8 - 3/4 = (32 + 2)/8 - 3/4 = 34/8 - 3/4
and then we bring both fractions to the same denominator, in this case 1/8 :
34/8 - 3/4 = 34/8 - 3/4×2/2 = 34/8 - 6/8 = 28/8
now we can simplify
28/8 = 7/2 = 3 1/2
so, she ran 3 1/2 miles more in Friday than on Tuesday.
FYI
I just wanted to show you the full formal flow of such a calculation.
but we could have gotten the result quicker by recognizing that we can simplify the numbers already at the beginning :
7 2/8 - 3 3/4 = 7 1/4 - 3 3/4 = 4 1/4 - 3/4 = 3 2/4 = 3 1/2
3
Create a linear equation in the slope-intercept fo
form that contains points (2,-8) and (6,-4).
Answer:
y = x - 10
Step-by-step explanation:
slope - intercept form: y = mx + b
y2 - y1 -4 - ( -8 ) 4
--------- = ------------- = -------- = 1
x2 - x1 6 - 2 4
---------------------------------------------------------
y = mx + b
y = 1x + b
pick whichever point you want to use, for this I'll use (2, -8)
-8 = 1( 2) + b
-8 = 2 + b
-2 -2
-10 = b
y = 1x - 10 or y = x - 10
I hope this helps!