[tex](2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35[/tex]
Answer:
-6x^3 + 23x^2 - 34x + 35.
Step-by-step explanation:
(2x - 5) (-3x^2 + 4x - 7)
= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)
= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35
= -6x^3 + 23x^2 - 34x + 35.
What are the solutions of the equation 12 + 15 - 79?
Triangle A'B'C' is the image of ABC under a rotation about point P.
Determine the angle of rotation.
-75
-45
45
75
Answer:
its 45
Step-by-step explanation
It's right I did it on khan
How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.
Answer:
628 possible passwords.
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
(a) There are 15,000 fleas in a carpet at the start of 2017. Each year, 3% of the fleas who were alive the previous year die and 1500 new fleas are born. Find an expression, in as simple a form as possible for the number of fleas N years after the start of 2017.
Answer:
Step-by-step explanation:
5. Find dy/dx of
of the following
the following functions
y²= 4ax
Answer:
A general rule for functions of the general form:
y = A*x^n
is:
dy/dx = n*A*x^(n - 1)
Then, for the function:
y^2 = 4*a*x
Then we can rewrite this as:
y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)
Then we have:
A = √(4*a)
n = 1/2
Now we can use the above rule to get
dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)
dy/dx = (1/2)*√(4*a)*x^(-1/2)
dy/dx = (1/2)*√(4*a/x)
dy/dx = √(1/4)*√(4*a/x)
dy/dx = √( (1/4)*4*a/x)
dy/dx = √(a/x)
Help^^^^^^^^^^^^^^^^^
Answer:
A,
23/6v+28
Step-by-step explanation:
Answer:
D. 23/6v+28
Step-by-step explanation:
Alana listed the lowest temperatures recorded in some states
State
Lowest temperature recorded (°F)
-80 Alaska
0 Florida
12 Hawaii
-34 New Jersey
-34 North Carolina
Alana wrote inequalities to compare the temperatures.
Choose all of the correct
inequalities that Alana wrote.
A 12 > 0
B. 0> -34
C. 12<-34
D. -80 < 12
E-34 <-80
The correct inequalities that alana wrote is
B) 0> -34
D) -80< 12
Help would be appreciated for this question!!!
Answer:
A
Step-by-step explanation:
Recall that sin = opposite over hypotenuse
For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.
The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse
we are given that the legs = 2 and 4 and need to find the hypotenuse
That being said we plug in what we are given and solve for c
[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]
In order to get the exact value of c we must get rid of the exponent.
To do so we can take the square root of both sides
[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]
hence, the hypotenuse = √20
Now lets look back at the question
Find sin∠A to the nearest hundredth.
well remember sin = opposite over hypotenuse
The opposite of sin∠A is 2 and the hypotenuse is √20
Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595
Our last step is to round to the nearest hundredth
We get the sin∠A = .45
The relationship between the length and weight of certain sea turtles can be approximated by the equation L = 0,55 W,
where L is the length in feet and W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
Answer:
4.55 pounds
Step-by-step explanation:
From the above question , we are told that:
The relationship between the length and weight of certain sea turtles can be approximated by the equation
L = 0.55 W,
where
L is the length in feet
W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
L = 2.5 feet
Hence,
2.5 = 0.55W
W = 2.5/0.55
W = 4.5454545455 pounds
Approximately, weight of the sea turtle in pounds = 4.55 pounds
5.5555 pounded to the nearest
hundredth
IS
Answer:
5.55000
Step-by-step explanation:
i think
Answer:
5.56
Number:
5.555
Nearest:
Hundredths (2 decimals)
Mode: Round
=5.56
12g^2 + 7g^2 simplify
Answer:
19g^2
Step-by-step explanation:
Answer:
144 I think????? ????????
1/10 of the M&M's in a bag are red and 1/5
are blue. What fraction of all the m&ms
are red and blue?
Answer:
3/10 of all the M & M's are red and blue.
Step-by-step explanation:
Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:
1/10 = 0.10
1/5 = 2/10 = 0.20
1/10 + 2/10 = X
3/10 = X
Therefore, 3/10 of all the M & M's are red and blue.
ACELLUS PLZ HELP ASAP
6101
4629
10730
What is the probability that a given student is a
graduate, given that he or she is on financial aid?
Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Answer:
31%Step-by-step explanation:
find the length of the segment from A to B, round to the nearest tenth.
Answer:
Length AB = square root [5^2 + 3^2]
AB = square root [34]
AB = 5.8309518948
= 5.8 rounded
Step-by-step explanation:
jake plays baseball with two wooden bat one made from hickory and one made from white ash what is the weight of the white ash if his hikory bat weght 32.4 ounse and both bat togethere weight 64.33
please help!! I'm really confused:(
[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]
[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]
Answer: 120 cans.
Need help fast what are values of x and y
Answer:
y = 52
x = 5
Step-by-step explanation:
14 x + y = 122
y = 52
x = 5
The following are the temperatures of 10 days in winter in °C. 5, 4, 4, -1, 4, 10, 9, 8, 6, 4 Work out the mean temperature.
Answer:
Answer is 5 °C.
Step-by-step explanation:
5 is answer
Answer:
The mean temperature is 5.3 degree Celsius
Step-by-step explanation:
5+4+4-1+4+10+9+8+6+4
= 53
So,
53/10
= 5.3
mark me brainliest plss :))
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
Can someone please explain Conditional probability to me
Answer:
conditional probability is probability based on logic and past events instead of your current data which you got from whichever experiment you did (that is experimental probability)
Step-by-step explanation:
Anyone know how to do this
Answer:
c or a
Step-by-step explanation:
Answer:
A(-3,-1)-----A'(-1,2)
B(2,1)------B'(4,4)
here
x is increased by -1--3=2
and
y is increased by2--1= 3
so
A.(x',y')=(x+2,y+3)
Angel says that raising fraction to the power of -1 is the same as finding the reciprocal of the fraction do you agree
Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.
According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.
Raising power means multiplying that number that many times to get the answer.
What is simplification in fraction?
The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.
To learn more about the simplification in fraction from the given link:
brainly.com/question/432678
#SPJ1
A sample of Chlorine gas has a volume of 20 L and a pressure of 4 atm. What will the
pressure of the gas be if the volume is decreased to 5 L?
Step-by-step explanation:
[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]
On Tuesday, there were 400 customers at a movie theater, and each customer paid $8 for a ticket. On Wednesday, the owner of the movie theater reduced the regular ticket price from $8 to $6 for tickets that were purchased before 6 p.m. If the daily ticket sales for the two days were the same, and 100 people paid $8 for a ticket on Wednesday, how many people paid $6 for a ticket on Wednesday?
Answer:
400
Step-by-step explanation:
6x + 800 = 3200
6x = 3200 - 800
6x = 2400
= 2400 / 6
x = 400
Hope this answer helps you :)
Have a great day
Mark brainliest
The number of people who paid $6 for a ticket on Wednesday are 300.
What is subtraction?The act or process of subtracting is a mathematical operation in which the difference between two numbers or quantities is calculated.
According to the given question.
Number of tickets sales for Wednesday = 400
Also, on Wednesday number of people who paid $8 for tickets = 100
Therefor,
The number of people or customer who paid $6 for a ticket on Wednesday = Total number of people who purchased tickets - total number of people who purchased tickets for $8
[tex]= 400 - 100\\= 300[/tex]
Hence, the number of people who paid $6 for a ticket on Wednesday are 300.
Find out more information about subtraction here:
https://brainly.com/question/13619104
#SPJ2
A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)
Answer:
h = 4.22 cm
Step-by-step explanation:
Mathematically, we have the volume of a cylinder as;
V = pie * r^2 * h
We have it that the radius is 6 cm
V = pie * 6^2 * h
for the sphere, we have it that;
V = 4/3 * pie * r^3
V = 4/3 * pie * 4.5^3
We can proceed to equate both volumes;
pie * 6^2 * h = 5/3 * pie * 4.5^3
pie on both sides cancel out
6^2h = 5/3 * 4.5^3
36h = 151.875
h = 151.875/36
h = 4.22 cm
can someone please tell me what angle x is
Answer:
it's an angle X duh he he he be
What is the value of x????
Answer:
[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
√3 4√3
Note that cos 30 degrees (which is ---------) equals ---------
2 x
which simplifies to:
1 4
---- = -----
2 x
so that x = 8
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
i got it right cus im smart
(3,5) and (9,10) find the slope that passes through the given points
Answer:
5/6
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (10 - 5)/(9 - 3) = 5/6
Answer: 5/6
Answer:
Hi! The answer to your question is [tex]m=5/6[/tex]
Step-by-step explanation:
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☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka