The given expression is :
2xx+3-5(x-2)
We know that, [tex]x{\cdot}x=x^2[/tex]
[tex]=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10[/tex]
Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.
What is the area of this
John has 16 boxes of apples. Each box holds 14 apples. If 8 of the boxes are full, and 8 of the boxes are half full, how many apples does John have?
A. 44
B. 112
C. 224
D. 168
Answer:112
Step-by-step explanation:multiply and divide for your answer
Please help me thank you I appreciate it
Answer:
68°
Step-by-step explanation:
PRQ = SRQ gives:
3x-8 = 2x+6
x = 6+8 = 14
So PRQ = SRQ = 34
and
PRS = PRQ+SRQ = 68
A rational Function is a function whose equation contains a rational expression.
True or false?
Answer:
True is correct
Step-by-step explanation:
Please help quick! Proportions & Graphs
Answer:
1. No
2. No
3. Yes
4. No
Step-by-step explanation:
The first one isn't proportional because it doesn't start at 0
The second one isn't proportional because there isn't a pattern between the coordinates
The 3rd one is a proportional relationship because it starts at 0 and there is an equal amount of space between each coordinate and there is evidentially a pattern.
Finally, the 4th one isn't proportional because the last coordinate doesn't correspond w/ the others
Plz mark me brainliest if correct :)
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -2.674°C.
P ( Z > −2.674) = ???
Answer:
Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.
Step-by-step explanation:
Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.
An integer from 300 through 780, inclusive is to be chosen at random, find the probability that the number is chosen will have 1 as at least one digit.
Answer:
93/481Step-by-step explanation:
Total number of integers from 300 through 780, inclusive:
780 - 299 = 481Number of integers with at least one of digit 1:
Hundreds - 0,Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)So in total 50 + 43 = 93The probability is:
P = favorable outcomes/total outcomes = 93/481im so confused how to get the answer.
Answer:
A
Step-by-step explanation:
9 items at $50 each would be 9 × $50 = $450, which is more money than he has.
The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity for the giraffe.
Answer:
Giraffe = 10
Guinea Pig = 4
Tiger = 16
Step-by-step explanation:
G GP T = 30
----------------------------------------------------------
X X-6 (X-6)*4
-----------------------------------------------------------
9 3 12 = 24
----------------------------------------------------------
10 4 16 = 30 ✅
----------------------------------------------------------
0.2 <_____< 5/8
Which two numbers would correctly fill in the blank??
A. 1/3
B. 7/9
C. /2
D. 2/7
Answer:
Letters A. and D. would fill in the blank correctly.
Sales of video games and consoles fell from $1.15million to $1.03 million in 1 year. Find the percent decrease. Round the answer to the nearest tenth of a percent.
Answer:
Percent decrease = 10.43% (Approx)
Step-by-step explanation:
Given:
Old price = $1.15 million
New price = $1.03 million
Find:
Percent decrease
Computation:
Percent decrease = [(Old price - new price)/Old price]100
Percent decrease = [($1.15 million - $1.03 million)/$1.15 million]100
Percent decrease = [($0.12 million)/$1.15 million]100
Percent decrease = 10.43% (Approx)
Write the following in point-slope form using the given information: Slope: 2 points
1/15; Point: (3,-5)
Answer:
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
Step-by-step explanation:
Given
[tex]m = \frac{1}{15}[/tex] -- Slope
[tex](x_1,y_1) = (3,-5)[/tex] --- Point
Required
Write an equation in point slope form
The point slope form of an equation is:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for y1, x1 and m
[tex]y-(-5) = \frac{1}{15}(x - 3)}[/tex]
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
Hence, the equation in point slope form is:
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
Solving further to represent the equation in slope-intercept form, we have:
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
[tex]y+5 = \frac{1}{15}x - \frac{1}{15}*3[/tex]
[tex]y+5 = \frac{1}{15}x - \frac{1}{5}[/tex]
Make y the subject
[tex]y= \frac{1}{15}x - \frac{1}{5}-5[/tex]
[tex]y= \frac{1}{15}x - (\frac{1}{5}+5)[/tex]
[tex]y= \frac{1}{15}x - (\frac{1+25}{5})[/tex]
[tex]y= \frac{1}{15}x - (\frac{26}{5})[/tex]
[tex]y= \frac{1}{15}x - \frac{26}{5}[/tex]
Please help with these 3
Answer:
3) 146 degrees
4) 471 degrees
5) x = 100 and 3x = 300
Step-by-step explanation:
all three are polygons whose sum of all interior angles can be found by using the formula (n - 2)*180 where 'n' refers to the number of sides
In #3 and 5 there are 5 sides, so (5 - 2)*180 = 3(180) giving a total of 540 degrees. Add all known angles and deduct from 540.
#4 has 7 sides, so (7 - 2)*180 = 1260 degrees. Add all known angles and deduct sum from 1260.
#5 Add all integers plus 'x' + '2x' to get 240 + 3x = 540
If f(x) = x/2 - 3 and g(x) = 4x ^ 2 + x - 4 , find (f + g)(x)
5/6 divided 2/3 pls help
Answer:
exact form: -5/4
Decimal Form: -1.25
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation: (-3,-2) y=x+2
Given :
A point ( -3 , -2 ).
An equation of a line, y = x + 2.
To Find :
An equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
Solution :
Let, equation of new line is :
y = mx + c ....1)
Here, m and c are slope and intercept respectively.
We know, product of slope of two line is -1 :
m( 1 ) = -1
m = -1
It is also given that point ( -3,-2 ) passes through this point.
Putting value of this point and slope in equation 1), we get :
[tex]-2 = (-1)\times ( -3 ) + c\\\\c = -2 -3\\\\c = -5[/tex]
Therefore, the equation of line is : y = -x -5 .
A conical water tank with vertex down has a radius of 10 feet at the top and is 24 feet high. If water flows out of the tank at a rate of 20 ft3/min, how fast is the depth of the water DECREASING when the water is 6 feet deep?
Answer:
Depth of water is increasing at 0.143 ft/min.
Step-by-step explanation:
Hi! please help me the blue line is what I have to find.
Answer:
Pretie sure answer is 0
Step-by-step explanation:
first you take the 1 and subtract it from -3
which is -2 then add the other 2 to the -2 which is 0
then you devide 5 with 5 and 5 with zero which leaves you with zero and 0=x
You are stuck at the Vince Lombardi rest stop on the New Jersey Turnpike with a dead battery. To get on the road again, you need to find someone with jumper cables that connect the batteries of two cars together so you can start your car again. Suppose that 16% of drivers in New Jersey carry jumper cables in their trunk. You begin to ask random people getting out of their cars if they have jumper cables. Use Scenario 6-17. On average, how many people do you expect you will have to ask before you find someone with jumper cables
Answer:
The expected number of people you will have to ask before you find someone with jumper cables is 6.25.
Step-by-step explanation:
The geometric distribution is the distribution of the number of X Bernoulli trials required for one success. If the one success requires k independent trials, each with the probability of success as p, then the probability that the kth trial is the one success is:[tex]p_{X}(k)=(1-p)^{k-1}p;\ k={1, 2, 3...}[/tex]
The geometric distribution is the distribution of the number of Y = X – 1 failures required before the first success. If the first success requires k failures, each trial with the probability of success as p, then the probability that the 1st success occurs after k failures is:[tex]p_{X}(k)=(1-p)^{k}p;\ k={0, 1, 2, 3...}[/tex]
In this case the first scenario follows.
X = number of people you will have to ask before you find someone with jumper cables.
p = 0.16
Compute the expected number of people you will have to ask before you find someone with jumper cables as follows:
[tex]E(X)=\frac{1}{p}\\\\=\frac{1}{0.16}\\\\=6.25[/tex]
Thus, the expected number of people you will have to ask before you find someone with jumper cables is 6.25.
42.1 in expanded form
Answer:
40+2+0.1
Step-by-step explanation:
y is inversely proportional to the cube of x if y = 7 when x=4 what is y when x is 5
Answer:
8.75
Step-by-step explanation:
7/4 = 1.75 and ?/5 (5x1.75) = 8.75
Choose all the equations that are true if x=9
Answer:
A, C, E
Step-by-step explanation:
I don't really know how to explain it but you can kinda substitute 9 for the variable to confirm if you want.
a train is running at a speed of hundred kilometre per hour how much distance will it run in 12 minutes
Step-by-step explanation:
In an hour, there are 60 minutes.
100km * (12/60) = 20km.
Hence the train runs 20km in 12 minutes.
Which expression uses the associative property to make it easier to evaluate 6(3/2x1/5) ?
A: 6(2/3x1/5
B: 6(1/5x3/2)
C: (3/2x1/5)6
D: (6x3/2)1/5
A 1000-liter tank initially contains a mixture of 450 liters of cola and 50 liters of cherry syrup. Cola is added at the rate of 8 liters per minute, and cherry syrup is added at the rate of 2 liters per minute. At the same time, a well mixed solution of cherry cola is withdrawn at the rate of 5 liters per minute. Let S(t) be the amount (measured in liters) of cherry syrup in the tank at time t, where t is measured in minutes.(a) Formulate an initial-value problem for the the amount of cherry syrup in the tank overtime.(b) Solve the initial-value problem using an integrating factor.(c) What percentage of the mixture is cherry syrup when the tank is full?
Answer:
A) dS/dt = 2 - S/(100 + t) ; S(0) = 50
B) S(t) = (100 + t) - 5000/(100 + t)
C) 35%
Step-by-step explanation:
A) Let;
t = time in minutes
S = amount of syrup
dS/dt = rate at which syrup is flowing through tank
We are told that initially, the tank contains a mixture of 450 liters of cola and 50 liters of cherry syrup.
Thus,
At t = 0
Amount of cola = 450 litres
Amount of syrup = 50 litres
Total mixture = 450 + 50 = 500 litres
We are told that a well mixed solution of cherry cola is withdrawn at the rate of 5 liters per minute.
Thus, amount of liquid in the tank at a time "t" is; 500 + 5t
We are told that cherry syrup is added at the rate of 2 liters per minute.
Thus, rate at which syrup is flowing through tank is given as;
dS/dt = 2 - 5[S/(500 + 5t)]
Factorizing out, we have;
dS/dt = 2 - 5[S/5(100 + t)]
5 will cancel out to give;
dS/dt = 2 - S/(100 + t)
Since we have 50 liters of cherry syrup initially, the initial value problem is;
dS/dt = 2 - S/(100 + t) ; S(0) = 50
B) We have our initial value problem as;
dS/dt = 2 - S/(100 + t)
Rearranging, we have;
dS/dt + S/(100 + t) = 2
Multiplying through by 100 + t gives;
(dS/dt)•(100 + t) + S = 2(100 + t)
Integrating each term with respect to t gives;
(100 + t)S = (100 + t)² + c
Divide both sides by (100 + t) to get;
S = (100 + t) + c/(100 + t)
At t = 0;
S(0) = (100 + 0) + c/(100 + 0)
S(0) = 100 + c/100
Recall earlier in our initial value problem where we stated that S(0) = 50.
Thus;
100 + c/100 = 50
Subtract 100 from both sides to givw;
c/100 = 50 - 100
c/100 = -50
c = -50 × 100
c = -5000
Thus;
S(t) = (100 + t) - 5000/(100 + t)
C) The capacity of the tank is given as 1000 liters.
Earlier, we saw that amount of liquid in the tank at a time "t" is; 500 + 5t
Thus;
500 + 5t = 1000
5t = 1000 - 500
5t = 500
t = 500/5
t = 100 minutes
We want to find What percentage of the mixture is cherry syrup when the tank is full.
Thus we will plug in t = 100 minutes into S(t) = (100 + t) - 5000/(100 + t)
Thus;
S(100) = (100 + 100) - 5000/(100 + 100)
S(100) = 200 - 25
S(100) = 175 litres
We saw earlier that total mixture initially was 500 litres.
Thus, percentage of the mixture that is cherry syrup when the tank is full is;
175/500 × 100% = 35%
Nate biked 56 miles in 4hours. what was Nates average speed for 1 hour?
Why might a person donate money to an organization focused on curing a deadly disease?
O To be part of a solution
O To be tax free this year
To satisfy receive discounts at a store
To satisfy a requirement
Bro help please I don’t know that answer I’ll give brainiest
Answer:
the awnser is 8 as is it it the awnser
Step-by-step explanation:
It's C.
8x8 = 64,
64/8 = 8
Find the area of this figure 115 ft 2 125 ft 2 60 ft 2 100 ft 2
Answer:
125
Step-by-step explanation:
divide the Figure into 3 parts
1 st = 5 X 10 =50
2nd = 5×10 =50
3rd = 5×5 = 25
total = 50+50 + 25 = 125
The solution of 4(x + 1) = 4(2 – x)
4x+4=8-4x
4x+4x=8-4
8x=4
x=4/8
x=1/2
Step-by-step explanation:
4x+4=8-4x
4x+4+(4x)=8-4x+(4x)
8x+4-(4)=8-(4)
8x÷(8)=4÷(8)
x=0.5 or 1/2