Answer:
[tex]\frac{1}{4}\:\mathrm{of\:an\:hour\: or\:}15\:\mathrm{minutes}[/tex]
Step-by-step explanation:
If the faucet fills [tex]\frac{1}{3}[/tex] of the water cooler in [tex]\frac{1}{12}[/tex] of an hour, then it will take the faucet [tex]\frac{1}{\frac{1}{3}}\cdot \frac{1}{12}=3\cdot\frac{1}{12}=\fbox{$\frac{1}{4}$}[/tex] of an hour to fill the faucet completely.
Katharine has a bag containing 20 dried beans. Eight of the beans are painted blue. If Katharine selects a bean from the bag at random, what is the probability that she will draw a bean that is NOT blue? Al out of 3 B 2 out of 5 C 3 out of 5 D 2 out of 3
Given:
Total number of beans = 20
Number of blue of beans = 8
One bean is selected from the bag at random.
To find:
The probability that she will draw a bean that is NOT blue.
Solution:
We have,
Total number of beans = 20
Number of blue of beans = 8
Number of non-blue beans = 20 - 8
= 12
Now, the probability that she will draw a bean that is NOT blue is
[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]
Therefore, the correct option is C.
Question 11
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Simplify the expression x^1/5 • x^5/2 Assume x > 0.
A) The answer can be written in the form x^a where
the exponent a is: Note: enter the exponent as a reduced fraction or integer.
B) The answer can be written in the form 1/x^b where the exponent b is:
Note: enter the exponent as a reduced fraction or integer.
Answer:
A. x^27/10
B. 1/x^-27/10
Step-by-step explanation:
Mathematically, if we have the same base, we simply add up the index
Thus, we have that;
x^1/5•x^5/2 = x^(1/5 + 5/2) = x^(2 + 25)/10 = x^27/10
A) In the first form, we have that;
x^27/10
a = 27/10
B) We simply negate what we have above in terms of the index according to the indices law below;
a^b = 1/a^-b
Hence, we have that;
1/x^-27/10
my head is empty for now, i rly can't with online classes
so anyone wanna help me?
Answer:
The Y intercept is (0,7)
Step-by-step explanation:
If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)
Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor
Step-by-step explanation:
3x³ - 4x² - 28x - 16
= (x + 2)(Ax² + Bx + C)
= Ax³ + (2A + B)x² + (2B + C)x + 2C.
By Comparing Coefficients, we have:
A = 3,2A + B = -4,2B + C = -28,2C = -16.Solving them will give A = 3, B = -10 and C = -8.
Hence 3x³ - 4x² - 28x - 16
= (x + 2)(3x² - 10x - 8)
= (x + 2)(3x + 2)(x - 4).
The answer is f(x) = (x + 2)(3x + 2)(x - 4).
Help
Me
Solve
This
Answer:
POG
Step-by-step explanation:
Answer:
Step-by-step explanation:
Nsjsjsjsms
i have 10 mins to turn this in... please help
Answer:
No
Step-by-step explanation:
don' really have time to explain but i'll try later hope this helps
Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 pint of ice cream, how many guests can Taylor serve?
Complete question :
Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve
Answer:
15 guests
Step-by-step explanation:
Given that:
Total pints of icecream = 9 1/2
Fraction of ice cream pints per guest = 3/5 pints
Number of guest that can be served :
Total pints / fraction per guest
9 1/2 ÷ 3/5
19/2 * 5/3
95 / 6
= 15.8 guest
Hence, greatest Number of guest that can be served = 15
One newspaper reported that the mayor received a salary increase of 5%.Another paper reported that the mayor’s salary went up $2000. What was the mayor’s salary before the increase?
Answer:
$1900
Step-by-step explanation:
5% increase is $100 dollar
Answer:
Let
x= Mayor’s previous salary
y=his increased salary
5% increase means
(105/100)*x=y——-(1)
From the other reporter
The Mayor’s salary went up $2000
:. y-x=2000———-(2)
Put y= (105/100)*x into equation 2
105x/100 -x =2000
Multiply through by 100
105x-100x=200000
5x=200000
Divide both sides by 5
x=40000
Hence his previous salary was $40,000 and current one is
y=2000 +40000
y=$42000
Step-by-step explanation: from your question, you didn’t state whether it went up by 2000 or went to 2000. I chose went by 2000. If it were to be went to 2000 , the equation will be different. It would been 2000-x=y
Find the value of x in the following figure ( Please hurry)
Answer:
x=9
Step-by-step explanation:
2x+12=5x-15
3x=27
x=9
Answer:
the value of X in the figure is 0 I think
QS bisects <PQR. If m<PQS = 5x and m<RQS = 2x + 6, then what is m<PQR?
Answer:
20 degrees
Step-by-step explanation:
If QS bisects Angle PQR, it would mean that Angle PQS and Angle RQS are equal
2x+6=5x
Subtract 2x on both sides
6=3x
Divide by 3 on both sides
x=2
Plug the value of x into either one of the angle measures equation
5x
5(2)=10
If they are equal to one another it would mean that the other angle would be the same measure and you would multiply it by 2
10(2)=20
Therefore 20 degrees is the answer for the measure of Angle PQR
Hope it helped :))
Matthew drives at an average speed of 62mph for 5 hours how many miles does matthew drive?
Answer:
He drove 310 miles per hour
Step-by-step explanation:
So this means that in one hour he drives 62 miles
to find how much in five hours multiply 5 by 62
5x62=310miles
Answer:52
Step-by-step explanation:
Please help I’ll give brainliest if correct
Select the correct answer.
Consider these functions:
f(x)= 4x3 – 10
g(x) = 3x - 4 /2
What is the value of g(f(2))?
A. -6
B. 2
C. 19
D. 31
Answer:
The value of g(22) = 31
Hence, option D is correct.
Step-by-step explanation:
Given
f(x)= 4x³ – 10 g(x) = 3x - 4 /2To determine
g(f(2)) = ?
To determine g(f(2)), first, we need to calculate f(2)
so substitute x = 2 in f(x)= 4x³ – 10
f(x)= 4x³ – 10
f(2) = 4(2)³ - 10
f(2) = 32 - 10
f(2) = 22
so
g(f(2)) = g(22)
now substitute x = 22 in g(x) = [3x - 4] / [2]
g(x) = [3x - 4] / [2]
g(22) = [3(22) - 4] / [2]
g(22) = [66-4] / [2]
g(22) = [62] / [2]
g(22) = 31
so
g(f(2)) = g(22) = 31
Therefore, the value of g(22) = 31
Hence, option D is correct.
Answer:
The correct answer is D. 31.
Step-by-step explanation:
I got it right on the Plato test.
Help please this is urgent
Answer:
x°+5 x°+5
2xo
f(g(_1))=2xo
5. Which set of ordered pairs below represents a function? 31. {(1,1) (1,- 1) (4,2) (4, -2) (9,3)} b. {(3,4) (3,5) (3,6) (3,7) (3,8) } C. {(2,4) (3,4) (4,4, (5,4) (6,4)} d. {(1,2) (2,3) (3,4) (4,5) (4,6) }
Answer:
C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.
Step-by-step explanation:
Since there is one value of y for every value of x in {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.
Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm
a) 11cm² b) 77cm²
c) 25cm² d) 56cm²
Calculate the area of the full circle:
Area = PI x r^2
Area = 3.14 x 14^2 = 615.44 sq. cm
45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8
615.44 x 1/8 = 76.93, round to 77 cm^2
The answer is B. 77 cm^2
sophie buy a guitar during the sale if the original price was $90.64 how much does sophie pay
Answer:
$67.98
Step-by-step explanation:
The discount was 25%, so you would need to multiply 90.64 and 0.25.
90.64*0.25= 22.66
However, that isn't your final answer because 22.66 is how much Sophie saved.
90.64-22.66= 67.98
Therefore, your answer would be $67.98.
Hope this helps :)
Answer:
45.54
Step-by-step explanation:
Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?
Answer:
£2585.64
Step-by-step explanation:
FV=PV(1+i)^t
Which means we have
1900(1+.045)^7
1900(1.045)^7
2585.64
fred sold half of his comic books and then bought 8 more he now has 16 how many did begin with
Answer:
16 I think
Step-by-step explanation:
If he now has 16 and he bought 8 you have to do 16-8 which is 8. He sold half and got to 8. Half of 16 is 8. (Sorry if that didn't make sense)
I hope this helped!
help meeeee this are the last of my mf pointssssss
Answer:
y=0.6 x=3.6
dddddddddddddddddd
need help on this thanks
Answer:
8
Step-by-step explanation:
Compare 9 * 10^4 to 3 * 10^2. (A) 9 * 10^4 is 3 times larger than 3 * 10^2 (B) 9 * 10^4 is 30 times larger than 3 * 10^2 (C) 9 * 10^4 is 300 times larger than 3 * 10^2 (D) 9 * 10^4 is 3000 times larger than 3 * 10^2
Answer:
9 * 10^4 is 300 times larger than 3 * 10^2
Step-by-step explanation:
Here, we want to compare the two figures and give the verdict on how big they are
as we can see, by squaring the second figure, we get the first
Mathematically, what we are saying is that;
(9 * 10^4) = (3 * 10^2)^2
So
basically, the difference between the two is to the tune of (3 * 10^2)
Hence we can conclude that the first number is 300 times bigger than the second number
13х - 7y + 4х
Please explain and awnser it’s for a test!
Answer:
17x-7y
Step-by-step explanation:
Im assuming you need to simplify it.
combine 13x and 4x
17x-7y
WILL MARK YOU BRAINLIEST
Answer: 3. 5 7/20,
Explanation: I took -3 2/5 and turned it into -17/5 and did the same with 8 3/4 which is 35/4. I gave them both the same denominator so I could add them together and it became -68/20 + 140/20 which equals 107/20
I NEED HELP PLEASE HELP
Answer:
66.) 1.) M=-9/7
2.) Y-INTERCEPT (9)
3.) X-INTERCEPT (7).
Answer:
Step-by-step explanation:
I don’t really know, don’t answer falsely on my answer, I literally have a f^cking quiz
In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x.
Answer:
The 2 angles are supplementary. This means they have to add up to 180 degrees. The first angle is 8x and the second is x+27. So set both of them equal to 180.
8x + x + 27 = 180
9x = 153
x = 17
Angle 1 = 8(17) = 136
Angle 2 = (17) + 27 = 44
Check: Angle 1 + Angle 2 = 180
136 + 44 = 180
Step-by-step explanation:
What is the value of cot840°
Answer:
cot 840° = [tex]\sqrt{3}[/tex]
Step-by-step explanation:
First, we must bring the value of 840° down to a value less than 90°.
To do that, we have to consider how many full rotations 840° is on the coordinate plane.
Start by dividing by 360°, since that is one full rotation.
840°/360°=2 R.120
So now we know that 840° is 120° extra, and therefore, the two calues will be equal.
So, cot840°, will be the same as cot120°
But now we need to make 120° a value less than 90°. So we can divide by 90°
120°/90°, and you get 1 R.30°
So now we also know that cot120° = cot 30°
Using your trigonometric table, we see that cot 30° = [tex]\sqrt{3}[/tex]
Hope this helped
Answer:
cot840=cot(180×5-60)=cot(-60)since cot is negative in second quadrant
cot(-60)=1/(tan(-30))=1/(-1/√3)=-√3
12.5 rounded to the nearest tenth, (I’m checking my answers so just the number will do thank you)
Answer:
I think it's 13
Step-by-step explanation:
If Jan jogged 7x - 12 miles and Julie jogged 35x - 60miles , how many times longer was Julie's travel distance than Jan's?
Answer:
Julie jogged five times further than Jan.
Step-by-step explanation:
We can find this solution just by dividing Julie's distance by Jan's:
[tex]\frac{35x - 60}{ 7x - 12} \\\\= \frac{5(7x - 12)}{ 7x - 12} \\\\= 5[/tex]
So Julie jogged five times further.
for what value of M is the equation an identity 4x^2-x+M=3x^2+x+2
Answer:
[tex]m=3x^{3} +2[/tex]
Step-by-step explanation:
[tex]4x^{2} -x+m=3x^{2} +x+2[/tex]
[tex]4x^{2} +m=3x^{2} +2x+2[/tex]
[tex]x^{2} +m=2x+2[/tex]
[tex]m=3x^{3} +2[/tex]
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9
Answer:
3,6,-1,5, and -4
Step-by-step explanation:
Domains is the X
Answer:
hi
Step-by-step explanation:hi