Answer:
u = -4w+9
Step-by-step explanation:
u - 5 = -4(w-1)
Distribute
u - 5 = -4w +4
Add 5 to each side
u -5+5 = -4w +4+5
u = -4w+9
what is -11=x/9-10? plz helps
Answer:
x=11
Step-by-step explanation:
-11=x/-1
x=-11×-1
x=11
Divide x^4 + 2x^2 + 1 by x+1 .
Answer:
[tex]=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]
Step-by-step explanation:
[tex]\frac{x^4+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{x^4+2x^2+1}{x+1}:\quad \frac{x^4+2x^2+1}{x+1}=x^3+\frac{-x^3+2x^2+1}{x+1}\\=x^3+\frac{-x^3+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{-x^3+2x^2+1}{x+1}:\quad \frac{-x^3+2x^2+1}{x+1}=-x^2+\frac{3x^2+1}{x+1}\\=x^3-x^2+\frac{3x^2+1}{x+1}\\\mathrm{Divide}\:\frac{3x^2+1}{x+1}:\quad \frac{3x^2+1}{x+1}=3x+\frac{-3x+1}{x+1}\\=x^3-x^2+3x+\frac{-3x+1}{x+1}\\\mathrm{Divide}\:\frac{-3x+1}{x+1}:\quad \frac{-3x+1}{x+1}=-3+\frac{4}{x+1}\\=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]
Find the approximate area of /CDE. A. 48.3 square units B. 59.8 square units C. 64.6 square units D. 75 square units
Triangle:
Line CE =15
Line ED =12
Line CD =10
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we can use the Heron’s formula
Mathematically we have the Heron’s formula as;
A = √s(s-a)(s-b)(s-c)
where s = (a + b + c)/2
Thus, s = (15 + 12+ 10)/2 = 18.5
a = 15, b = 12 and c = 10
Plugging these values into the equation, we have
√18.5(18.5-15)(18.5-12)(18.5-10)
= √18.5(3.5)(6.5)(8.5)
= √ 3,577.4375
A = 59.8116
which is approximately 59.8 square units
Madison wants to order T-shirts for the University which consist of 12,000 students she takes a random sample to figure out how many sizes to order of each kind if she randomly surveyed 300 students and 129 of them want to medium how many medium T-shirts should she order
Answer:
5160
Step-by-step explanation:
Given the formula A=3.14ab, solve for b.
Answer:
A/ 3.14a=b
Step-by-step explanation:
A=3.14ab
Divide each side by 3.14 a to isolate b
A/ 3.14a=3.14ab/3.14a
A/ 3.14a=b
You might need: Calculator
The cake store is having a 25% off sale on all of its cakes.
If the cake you want regularly costs $9, how much would you save with the discount?
Step-by-step explanation:
The offer is 25% sale on cupcakes
Single cake costs = 9
25% = 0.25
After discount the price of cake = 9 x 0.25 = 2.25
3x^2 =15 standard form
Answer:
3x^2 - 15 = 0
-x^2 + 14 = 0
-2x^2 + 4x - 5 = 0
Step-by-step explanation:
3x^2 = 15
3x^2 - 15 = 0
-x^2 = -14
-x^2 + 14 = 0
4x - 2x^2 = 5
-2x^2 + 4x - 5 = 0
Create a data set of six values that meet the following criteria...
Mean: 6
Range: 7
Mode: 3
Median 6
Answer: A = {2, 6 ,6 , 6 , 7 ,9}
Step-by-step explanation:
As the mode is 3, we must have a number that repeats 3 times.
As the median is 6, the number in the middle must be 6
then with this we can construct a set with 3 times the number 6.
Now, knowing that the range is 7. the difference between the larger number and the smaller number is 7, so suppose the larger number is 9 and the smaller number is 2 (9 - 2 = 7)
Then the numbers in our set are:
2 6 6 6 9
lets find the last one.
We know that the mean is 6, then we have
6 = (1/6)*( 2 + 6 + 6 + 6 + 9 + x) = (1/6)(29 + x)
6*6 = 29 + x
36 - 29 = x
x = 7
Then our set is:
A = {2, 6 ,6 , 6 , 7 ,9}
Where the number in the middle is 6, the mean is 6, the mode is 3 and the range is 7
PLZZ HELP! Sara selects two cards at random from a standard deck of fifty-two cards. Which of the following could be used to calculate the probability that she will select two even-numbered cards if she does not replace the first card before selecting the second? Note: For this problem, face cards and aces are not numbered cards.
sixteen over fifty-two times sixteen over fifty-one
sixteen over fifty-two times fifteen over fifty-one
sixteen over fifty-two times fifteen over fifty-two
sixteen over fifty-two times sixteen over fifty-two
Answer:
91
Step-by-step explanation:
it takes to long to explain
Help pls!!!!!Last question I need
The mean age of 5 people in a room is 25 years.
A person enters the room.
The mean age is now 27.
What is the age of the person who entered the room?
Answer:
37 years
Step-by-step explanation:
If the mean age of 5 people in that room was 25 years,
∴ Sum₍₅₎= (25×5)years
= 125 years
When a person enters that room, the mean age was now 27.
∴ Sum₍₆₎=(27×6) years
= 162 years
∴ The age of the person who entered the room = Sum₍₆₎ - Sum₍₅₎
= (162-125) years
= 37 years
∴ The age of the person who entered the room is 37 years.
Hope this helps!!!
Please mark as brainliest!!!
Answer:
im just answering so you can give the other person brainilest. you can report if ya want.
Step-by-step explanation:
:)
Find the total number of unit cubes that fill the entire prism.
unit cubes
DONE
Answer:
(6 × 3 × 4) 72
Step-by-step explanation:
Answer:
(6x3x4)= 72 unit cubes.
Step-by-step explanation:
7 inches and the height is 3 inches
Answer:
21
Step-by-step explanation:
please help me again one last time for this lol.
Answer:
3/8 = 9/24 ; 1/3 = 8/24 ; 3/8 > 1/3
Step-by-step explanation:
You have to multiply 8 and 3 to obtein the same number as denominatoe (24).
Once you have the same number you can use < = >
PLEASE HELP!! Due very soon!!! - The graph below represents the height of a football pass, in feet, x seconds after the ball is thrown. Which of the following best describes the interpretation of f(2)? (Attached are the multiple choice answers)
Answer:
The ball is 7 feet above the ground 2 seconds after it is thrown.
Step-by-step explanation:
As per the given statement, we are given a graph of function [tex]f(x)[/tex] where 'x' is time (in seconds) in the current scenario.
Time is plotted on x axis and height of football is plotted on y axis.
[tex]f(x)[/tex] is the height of football according to change in time.
Following are the few things that can be observed from the given curve:
1. Initial Height of football is ~4.8 feet i.e. at 0 seconds of time.
2. Football reaches a maximum height of ~7.2 feet at 1.5 seconds.
3. After 1.5 seconds, the height of football starts decreasing.
Here f(2) means, the height of ball at 2 seconds of time.
It is clearly visible from the given graph that height is 7 feet at 2 seconds.
Please refer to the attached answer image. Height at 2 seconds is marked as point P.
Hence, The ball is 7 feet above the ground 2 seconds after it is thrown.
What is 24% as a growth and decay factor
Answer:
When given a percentage of growth or decay, determined the growth/decay factor by adding or subtracting the percent, as a decimal, from 1. In general if r represents the growth or decay factor as a decimal then: b = 1 - r Decay Factor. b = 1 + r Growth Factor. A decay of 20% is a decay factor of 1 - 0.20 = 0.
Step-by-step explanation:
The growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.
What is the growth and decay factor?It is defined as the factor that represents the increase and decreases in value by that factor. For the growth add one as a decimal and for the decay subtract one as a decimal.
For the growth factor:
F(g) = 1+r
Here r = 24% = 0.24
F(g) = 1+0.24 = 1.24
For the decay factor:
F(d) = 1-r
Here r = 24% = 0.24
F(d) = 1-0.24 = 0.76
Thus, the growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.
Learn more about the growth and decay factor here:
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Mathematics VII
Jennifer Kent receives 24 paychecks each year. Each check is for $863.50 before
deductions. What is Jennifer's weekly salary?
Answer:
$ 863.50
Step-by-step explanation:
375 days a year, 7 days a week
375/7
53.57 weeks in a year
24 paychecks of 863.50 = 46257.695$ a year
46257.695/53.57 = 863.5
I cant solve this answer
Answer:
RC1. 5
RC2. 8
RC3. a
RC4. 3
Step-by-step explanation:
So basically what you need to start with is the fact that the second triangle is 2 times larger than the first.
so,
8 = 8
C = 10
A = 6
---------------------------------------------------------------------
the next important part is that the opposite sides of the fraction, when multiplied are equal to each other.
( for example 1/2 = 2/4, because 1*4 = 4 and 2*2 = 4)
RC1. a/3 = C/_
substitute
6/3 = 10/_
3 * 10 = 30
6 * _ =30
30/6 = 5.
Rc2. 4c = 5_
4*10 = 5*_
40/5 = 8
RC3. 3c = 5*_
3*10 = 5*_
30/5 = 6
RC4. 4a = 8*_
4 * 6 = 8*_
24/8 = 3
good luck with your schoolwork/homework!
---------------------------------------------------------------------
apologies in advance for incorrect answers or bad explanations.
DF bisects angle EDG. Find the value of x
Answer:
x=10
Step-by-step explanation:
2x+6 = 6x-34
-> 40 = 4x
-> 10 =x
A right triangle with side a being 7 and the hypotenuse is 8. Find the measure of the missing side length. Round your answer to the nearest tenth.
Answer:
4
Step-by-step explanation:
use the Pythagoras' theorem
formula for an ABC triangle( right angled)
AB is height
BC is hypotenuse
CA is length
[tex]BC^{2}[/tex] = [tex]AB^{2}[/tex] + [tex]CA^{2}[/tex]
in your case
AB is 7
BC is 8
CA is unknown so we write x
[tex]8^{2}[/tex]=[tex]7^{2}[/tex]+[tex]x^{2}[/tex]
64=49+[tex]x^{2}[/tex]
64-49=[tex]x^{2}[/tex]
15=[tex]x^{2}[/tex]
[tex]\sqrt{15}[/tex] =x
3.87=x
4=x
A sector with a central angle measure of 4pie/5 (in radians) has a radius of 5cm.
What is the area of the sector?
Answer:10pi cm^2
Step-by-step explanation:
b) Order these measurements from greatest to least.
Explain how you decided.
2,300 L
500 ml
3,000 mL
2 L
22 L
which is a liability ??
Answer:
The liability is his mortgage.
Answer:
The mortgage
Step-by-step explanation:
The mortgage is a liability. A liability is something that you have to pay for. Bills, fees, mortgages, etc are all liabilities.
The yearly salary- asset
The commission- asset
The mortgage- liability
The rental property- asset
please help
the first right answer will DEFFO be marked as the best answer!
its 15 points!!!
Answer:
P(red) = .3
P(yellow) = .3
75 cubes in the box
Step-by-step explanation:
The probability has to add to 1
Since the number of red cubes equals the number of yellow cubes the probability has to be the same
.4 + x+x = 1
.4 +2x = 1
2x = 1-.4
2x = .6
Divide by 2
x = .6/2
x = .3
P(red) = .3
P(yellow) = .3
We know that
P(blue) = .4 = number of blue cubes/ total number of cubes
.4 = 30/total
total = 30/.4
total = 75
If g = 2; 4g = 32 true or false
Answer:
false
Step-by-step explanation:
4 x (2) = 8
Answer:
False
Step-by-step explanation:
What you need to do is plug 2 in for g.
4g=32
4(2)=32
8=32
This is incorrect, so it is false.
What is the amplitude of g(x)=8cos(5πx+3π/2)-9
Answer:
8
Step-by-step explanation:
The value of the amplitude is always positive and it tends to be number in front of the cosine function so for example by using the form 'a.cos(bx - c) + d', we can know that the amplitude is the number in front of the function so its 'a'
Enter the value of 7.(2+18) -14
Answer:
we are going to use BODMAS
7.(2+18) -14
is also 7×(2+18) -14
since B representing bracket comes first,
we add the numbers in the bracket.
2+18=20
7×(20) -14
then M representing multiplication comes next do we multiply.
7×20=140
140-14=126
that's it!
The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers, then how many students are expected to enroll?
Step-by-step explanation:
simply 32×24 gives 768 students
The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers. .768 students are expected to enroll.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers.
The ratio we have 24 : 1
We need to find the ratio
? : 32
then we get,
24 x 32 = 768
Learn more about the unitary method;
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Aloysius and Benjamin have $150 altogether. Aloysius' mother gives him another $40 and Benjamin spends $ 10 on a book. Benjamin then has $10 more than Aloysius . How much money does each of them have at first?
Answer:
Aloy has $55 initially
Benjamin has $95 initially
Step-by-step explanation:
In this question, given the order in which the money flowed in the question, we want to know how much each of the two had initially.
let what Aloys have be x and what Benjamin has be y.
Together, they had 150
x + y = 150 ••••••••(i)
Aloys mother gave him 40, new money is x + 40, Benjamin spent 10, new money is y-10
the new difference is 10
Thus;
(x + 40)-(y-10) = 10
x + 40 -y + 10 = 10
x+ 40 = y
substitute this into the first equation
x + 40 + x = 150
2x + 40 = 150
2x = 150-40
2x = 110
x = 110/2
x = $55
y = x + 40 = 55 + 40 = $95
Approximate the real zeros of f(x)= 2x^3 - 4x^2 - 3 to the nearest tenth.
a.2
c.3.2
b.2.3
d.3.3
Please select the best answer from the choices provided
A
B
C
D
Answer:
b.2.3
Step-by-step explanation:
f(x)= 2x^3 - 4x^2 - 3
see graph below
only x intercept is 2.287
Answer:
b2.3
Step-by-step explanation: