Answer:
3a - b - c
Step-by-step explanation:
a - 2b - (c-(2a+b))
a - 2b - c + (2a+b)
3a - b - c
Step-by-step explanation:
a-1[2b+{c-2a-b}]
or, a-1[2b+c-2a-b]
or, a-2b-c+2a+b
or, 3a-b+c
what is the distance between the points at (8,4) and (5,1)?
[tex] \large{ \text{Hii,Hope \: you \: are \: fine!}}[/tex]
This is a question from coordinate geometry. This is a very simple question. You can solve it by using distance formula.
First we have to assume the coordinates as following:-
Let the coordinates of A be (8,4) and coordinates of B be (5,1).
Further we have to assume:-
[tex] \mapsto\sf{X_1=8}[/tex]
[tex]\mapsto \sf{Y_1=4}[/tex]
[tex]\mapsto \sf{X_2=5}[/tex]
[tex]\mapsto \sf{Y_2=1}[/tex]
Here we have distance formula:-
[tex] \sf{Distance \: of \: AB= \sqrt{({X_2-X_1) }^{2} + {( Y_2-Y_1) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{({5 - 8) }^{2} + {( 4 - 1) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{({ - 3) }^{2} + {( 3) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{9+ 9 } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{18} }[/tex]
[tex] \sf{Distance \: of \: AB= 3 \sqrt{2} cm }[/tex]
This is your final answer.
KINDLY VISIT WEB TO UNDERSTAND MORE CLEARLY.
Read and solve each problem.
1. 1. A box of donut contains 12 pieces. Jane bought 24 boxes for
Jannea's birthday. About how many donuts did Jane buy in all?
a.) What is asked?
b.) What are the given facts?
c.) What operation is to be used?
d.) What is the number sentence?
e.) What is the complete answer?
Answer:
a) How many donuts did Jane buy>
b) A box of donuts contains 12 pieces, and Jane bought 24 boxes for Jannea's birthday.
c) Multiplication
d) ???
e) 288
Step-by-step explanation:
Can someone help me I have two more other questions they are 15 points each I just posted them right now! Thanks so much
Answer:
$10 coins: 21
$20 coins: 24
Step-by-step explanation:
heyy me again
So we can create 2 equations where
x = number of $10 coins
y = number of $20 coins:
x + y = 45
10x + 20y = 690
we can move equation 1 around so that we can get a value of x
x = 45 - y
now we can substitute x into the second equation
10(45 - y) + 20y = 690
450 - 10y + 20y = 690
10y = 240
y = 24
Now plug in y back into the first equation
x = 45 - y
x = 45 - 24
x = 21
Find the slope and the y-intercept of the line.
y=-2
5
Ex+6
slope:
.
08
Х
$
y-intercept: 0
Answer:
Slope = -⁵/2
y-intercept = 6
Step-by-step explanation:
The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b
Where:
m = slope
b = y-intercept
Therefore:
Slope of the equation = -⁵/2
y-intercept if the equation = 6
A standard number cube,numbered 1 through 6 on each slide,is rolled 4 times.What is the probability of rolling a 2 on all three rolls? Express your answer as a fraction.
Answer:
The answer is 1/216
Step-by-step explanation:
for the first roll, you have a 1/6 chance to roll a 2
same for the other two rolls
so,
1/6*1/6*1/6=1/216
hope that helps
The side length of an equilateral triangle is 5 centimeters. Find the length of an altitude. Round your answer to the nearest tenth.
The length of the altitude is about...
centimeters.
Answer:
4.3
Step-by-step explanation:
that's the answer rounded to the nearest tenth
The side length of an equilateral triangle whose side length 4.3 centimeter.
Given that,
The side length of an equilateral triangle is 5 centimeters.
We have to determine,
The length of an altitude.
According to the question,
An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side).
The side length of an equilateral triangle is 5 centimeters.
Altitude of Equilateral Triangle is,
[tex]h = \dfrac{\sqrt{3}}{2}a\\\\h = \dfrac{\sqrt{3}}{2}5\\\\h = \dfrac{5\sqrt{3}}{2}\\\\h = 4.33[/tex]
Hence, The side length of an equilateral triangle whose side length 4.3 centimeters.
To know more about Equilateral triangle click the link given below.
https://brainly.com/question/16803837
What is the first step needed to solve 4 over 7 multiplied by x minus 5 equals negative 13 ? (1 point) a Subtract 13 from both sides b Divide both sides by 7 c Add 5 to both sides d Multiply both sides by 4
Answer:
c Add 5 to both sides
Step-by-step explanation:
The statement is represented by the mathematical expression;
4 over 7 multiplied by x minus 5 equals negative 13
4/7 * x - 5 = 13
a Subtract 13 from both sides
This option is wrong because there is no point making the eight side of the equation zero
b Divide both sides by 7
This option is wrong because it is only making the equation complex and not simple.
c Add 5 to both sides
Among all the options, this is correct. The reason is because it would simplify the expression in the left side of the equation.
d Multiply both sides by 4
This option is wrong because it is only making the equation complex and not simple.
(x + 2 < 5) (x - 7>-6).
Answer:
x>1
Step-by-step explanation:
an angle measures 1.6° less than the measure of its complementary angle. what is the measure of each angle ?
Answer:
times that number by 1.6
Step-by-step explanation:
Solve the system using elimination. 4x+8y=48 4x-8y=-32
Answer:
y=6
Step-by-step explanation:
Rewrite the rational function g(x)=x−4x in the form g(x)=c+rx, where c and r are constants.
Answer: g(x) = 0+(-3)x
Step-by-step explanation:
Given Function : g(x)=x−4x
To rewrite the above function g(x) in the form g(x)=c+rx, where c and r are constants.
Consider g(x)=x−4x = x(1-4)
⇒g(x) = -3x
⇒g(x) = 0+(-3)x
Here c = 0 , r =-3
Hence , the solution is g(x) = 0+(-3)x.
A function can be rewritten in several ways.
[tex]\mathbf{g(x) = x - 4x}[/tex] in form of [tex]\mathbf{g(x) = c + rx}[/tex] is [tex]\mathbf{g(x) = 0 - 3x}[/tex]
The function is given as:
[tex]\mathbf{g(x) = x - 4x}[/tex]
Evaluate like terms
[tex]\mathbf{g(x) = - 3x}[/tex]
Add 0 to the function
[tex]\mathbf{g(x) = 0 - 3x}[/tex]
Rewrite as:
[tex]\mathbf{g(x) = 0 + (- 3x)}[/tex]
Compare the above function to: [tex]\mathbf{g(x) = c + rx}[/tex];
We have:
[tex]\mathbf{c = 0}\\\\\mathbf{r = -3}[/tex]
Hence, [tex]\mathbf{g(x) = x - 4x}[/tex] in form of [tex]\mathbf{g(x) = c + rx}[/tex] is [tex]\mathbf{g(x) = 0 - 3x}[/tex]
Read more about rational functions at:
https://brainly.com/question/12419178
does anyone know this you will givin 20 points
Answer:
1/2 + 1/3 = 5/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer that you put in the boxes is 2 and 3
1/3 + 1/2 = 3/6 + 2/6 = 5/6
You can't give 20 points once you have declared it to be a smaller amount. It's fixed.
A pool in the shape of a cylinder with a height of 6 m and a base radius of 7 m is drained for repair. If the rate at which the pool is being drained is 3 m3/min, find the rate at which the water level is falling when the water is 4 m deep to the nearest hundredth.
Answer:
The rate at which the water level is falling when the water is 4 meters deep to the nearest hundredth is 0.02 meters per minute.
Step-by-step explanation:
The volume of a cylinder ([tex]V[/tex]), measured in cubic meters, is represented by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in meters.
[tex]h[/tex] - Height, measured in meters.
Then, we differentiate (1) in time:
[tex]\dot V = 2\pi \cdot r\cdot h \cdot \dot r +\pi \cdot r^{2}\cdot \dot h[/tex] (2)
Where:
[tex]\dot V[/tex] - Rate of change of the volume, measured in cubic meters per minute.
[tex]\dot r[/tex] - Rate of change of the radius, measured in meters per minute.
[tex]\dot h[/tex] - Rate of change of the height, measured in meters per minute.
Then, we clear the rate of change of the height:
[tex]\pi \cdot r^{2}\cdot \dot h = \dot V-2\pi \cdot r\cdot h \cdot \dot r[/tex]
[tex]\dot h = \frac{\dot V - 2\pi \cdot r\cdot h\cdot \dot r}{\pi \cdot r^{2}}[/tex]
[tex]\dot h = \frac{\dot V}{\pi \cdot r^{2}}-\frac{2\cdot h\cdot \dot r}{r}[/tex]
[tex]\dot h = \frac{1}{r}\cdot \left(\frac{\dot V}{\pi \cdot r}-2\cdot h\cdot \dot r \right)[/tex] (3)
If we know that [tex]\dot V = -3\,\frac{m^{3}}{min}[/tex], [tex]r = 7\,m[/tex], [tex]h = 4\,m[/tex] and [tex]\dot r = 0\,\frac{m}{min}[/tex], then the rate of change of the height is:
[tex]\dot h = \left(\frac{1}{7\,m} \right)\cdot \left[\frac{-3\,\frac{m^{3}}{min} }{\pi\cdot (7\,m)-2\cdot (4\,m)\cdot \left(0\,\frac{m}{min} \right)} \right][/tex]
[tex]h = -0.019\,\frac{m}{min}[/tex]
The rate at which the water level is falling when the water is 4 meters deep to the nearest hundredth is 0.02 meters per minute.
Pip was thinking of a number subtracts 13 and gets answer of 30.3 what was original number
Answer:
393.9
Step-by-step explanation:
Multiply 30.3 with 13.. Will get the answer 393.9
30.3= x / 13
X = 30.3 x 13
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 30 minutes.
a. If the distribution of time spent on the job is approximately bell shaped, between what two times would 68% of the figures be?
enter the lower limit for the interval where 68% of the values would fall
to enter the upper limit for the interval where 68% of the values would fall
b. If the distribution of time spent on the job is approximately bell shaped, between what two times would 95% of the figures be?
enter the lower limit for the interval where 95% of the values would fall
to enter the upper limit for the interval where 95% of the values would fall
c. If the distribution of time spent on the job is approximately bell shaped, between what two times would 99.7% of the figures be?
enter the lower limit for the interval where 99.7% of the values would fall
to enter the upper limit for the interval where 99.7% of the values would fall
d. If the shape of the distribution of times is unknown, approximately what percentage of the times would be between 360 and 478 minutes?
At least enter percentages rounded to 1 decimal place
% (Round the intermediate values to 3 decimal places. Round your answer to 1 decimal place.)
e. Suppose a worker spent 400 minutes on the job. What would that worker’s z score be, and what would it tell the researcher?
z score = enter the z score rounded to 3 decimal places
(Round your answer to 3 decimal places.)
This worker is in the lower half of workers but within select the distance from the mean
standard deviation of the mean.
Step-by-step explanation:
Ah statistics
68-95-99.7
a. 68% is between -1 and 1 standard deviation, which is between 389 and 449 minutes
b. 95% is between -2 and 2 standard deviations, which is between 359 and 479 minutes
c. 99.7% is between -3 and 3 standard deviations, which is between 329 and 509 minutes
d. Use table A with a z-score of (360-419)/30 = -1.96666667
and with a z-score of (478-419)/30 = 1.96666667
NOTE THESE ARE NOT THE ANSWERS, but use the z-scores to find the percentage on table A
e. (400-419)/30 = -0.633333333 as his z-score
now find that value on table A
We are given the mean and the standard deviation. If the distribution is normal(bell-shaped), the Empirical Rule is used, otherwise, if the distribution is unknown, Chebyshev's Theorem is used.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of 419, standard deviation of 30.
Question a:
Within 1 standard deviation of the mean, so:
419 - 30 = 389.
419 + 30 = 449.
Between 389 and 449 minutes.
Question b:
Within 2 standard deviations of the mean, so:
419 - 60 = 359
419 + 60 = 479
Between 359 and 479 minutes.
Question c:
Within 3 standard deviations of the mean, so:
419 - 90 = 329
419 + 90 = 509
Between 329 and 509 minutes.
Question d:
Have to find how many standard deviations it is from the mean:
(478 - 419)/30 = 1.97
(360 - 419)/30 = -1.97
Considering [tex]k = 1.97[/tex]
[tex]100(1 - \frac{1}{1.97^{2}}) = 74.2[/tex]
At least 74.2% of the times would be between 360 and 478 minutes.
Question e:
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In which X is the measure, [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.
For this question, X = 400, [tex]\mu = 419, \sigma = 30[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{400 - 419}{30}[/tex]
[tex]Z = -0.633[/tex]
This worker is in the lower half of workers but within 0.633 standard deviations of the mean.
For more on the Empirical Rule, you can check https://brainly.com/question/24244232
For more on the Chebyshev Theorem, you can check https://brainly.com/question/23612895
For more on z-scores, you can check https://brainly.com/question/16645591
If k + 10 = 2, what is k?
Are the triangle similar
Answer:AAS
Step-by-step explanation:
the price of a stock in a computer company is 25% greater than the cost of stock in a bank, b. write an expression for the sum of the prices of the stocks in the computer company in the bank in terms of b
Answer:
1.25b
Step-by-step explanation:
Let the cost of stock in a bank, b.
Now, since the price of a stock in a computer company is 25% greater than the cost of stock in a bank, it means;
the cost of stock in the computer company = b + 25%b = 1.25b
Thus,total cost of stock in both bank and computer company is;
Sum = 1.25b
A grocer can buy strawberries for $1.38 per pound.
1. How much would they pay to buy 25 lbs of strawberries?
Answer:
$34.5
Step-by-step explanation:
1.38 * 25 = 34.5
Answer:
The answer is $34.5.
Step-by-step explanation:
$1.38 x 25 = $34.5.
the volume of a cube is 216 ft3 what is the length of a side
Answer:
Step-by-step explanation:
i think its 6
Answer:
6
Step-by-step explanation:
On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of elevation is 5 degrees from the victim, at what vertical distance did the sniper shoot from
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
Use the Factor Theorem to verify that the given binomial is a factor
of P(x). Then divide.
(x+5); P(x)=2x + 6x - 20
At what rate should $1,000 be invested compounded
continuously to produce a final balance of $2,000 in
5 years?
A. 0.139%
B. 0.231%
C. 13.863%
D. 23.105%
Answer:
14.9%
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
A is the amount = $2000
P is the principal = $1000
r is the rate
T is the time = 5 years
Substitute the given values into the formula;
2000 = 1000(1+r)^5
2000/1000 = (1+r)^5
2 = (1+r)^5
[tex]\sqrt[5]{2} \\[/tex] = 1 + r
r = 1.149 - 1
r = 0.149%
Hence the required rate is 14.9%
13. Which system of inequalities has no solution?
Answer:
Option A
Step-by-step explanation:
We have y < 2x - 4 and y > 2x + 1.
=> 2x - 4 > 2x + 1
=> -4 > 1
Since this inequality is false for all real values of x, there is no solution for the system of inequalities.
81502
18150220
5
Order 0.54, and 45%, from least to greatest.
4'
Answer:
[tex]0.45, 0.54[/tex]
Step-by-step explanation:
Given
[tex]0.54\ and\ 45\%[/tex]
Required
Order from least to greatest
We start by converting 45% to decimal
[tex]45\% = \frac{45}{100}[/tex]
[tex]45\% = 0.45[/tex]
So, the numbers are:
[tex]0.54\ and\ 0.45[/tex]
On a number line:
0.45 comes before 0.54
This implies that:
[tex]0.45 < 0.54[/tex]
And the required order is:
[tex]0.45, 0.54[/tex]
Describe the transformation of y=3(x-3)²+3
Answer:
Streatch by 3, Left by 3 and Up 3
Mr.Travelswell is about to visit Germany and Sweden. He has £5000 to spend. He wants to exchange 60% of this into Euros in Germany, and the rest into Krona in Sweden. When he changes his £5000, 1 Euro = £0.75 and £1=12.63 Krona. Calculate how many Euros and how many Krona he will receive.
answer:
4000 Euros and 25260 kronas.
detailed answer:
If £5000 is 100percent of his money, then 60percent is £X
x=(60×5000)/100= 3000(£)
rest of it is £2000
lets calculate Euros first:
3000/0.75=4000 (Euro €)
now kronas:
2000×12.63=25260 krona.
7 - (2x + 1) + 4x
please show solving steps as well
Answer:
[tex]2x + 6[/tex]
Step-by-step explanation:
[tex]7 - (2x + 1) + 4x[/tex]
Distribute the negative inside 2x+1
[tex]7 - 2x - 1 + 4x[/tex]
Remind that negative multiply negative must equal positive.
variables cannot sum/add/subtract with constants.
They must be the same terms.
[tex]4x - 2x - 1 + 7 \\ 2x + 6[/tex]
Therefore, our answer is 2x+6
PLS HELP I WILLL GIVE BRANLIEST GIVING 100 PTS !!! PLS HELP!!!
Answer:
n = 2m
Step-by-step explanation:
n being the number of movies
and m being the months
Answer:
Step-by-step explanation:
idek bro idek
Jeans are normally $60. They are currently priced 20% off. What would be the final price of the jeans?
Answer:
The final price of the jeans would be $48.