Answer:
$630.50
Step-by-step explanation:
Factorise Fully x^2 + x
Answer:
X(x+1)
Step-by-step explanation:
If it is wrong I'm sorry.
What’s this I need help with math...
Answer:
3^12 = 531441
Step-by-step explanation:
For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:
[ ( 3^2 ) ^ 3 ] ^ 2
= [ 3^2 * 3^2 * 3^2 ] ^ 2
= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2
And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:
3 ^ (2 + 2 + 2 + 2 + 2 + 2)
= 3^12
Either way of power manipulation, you end with the same result of 3^12. Hope this helps.
Cheers.
Use the distributive property to fill in the blanks below.
(8 x 5) + (8 x 2) = 8 x (_ + _)
[tex]\boxed{\sf ab+ac=a(b+c)}[/tex]
[tex]\\ \rm\longmapsto (8\times 5)+(8\times 2)[/tex]
[tex]\\ \rm\longmapsto 8(5+2)[/tex]
[tex]\\ \rm\longmapsto 8(7)[/tex]
[tex]\\ \rm\longmapsto 56[/tex]
An insurance company offers two types of insurance: health insurance and life insurance. Let X be the annual claim on the health insurance and Y be the annual claim on the life insurance. The joint density function of X and Y is: Find the probability that the total claims exceed 0.5 but is less than 2 and the claim on the life insurance is less than 1.5.
The joint density equation is missing in the question. The equation is [tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Probability is 0.59
Step-by-step explanation:
We have
x -- denotes the annual claim health insurance
y -- denotes the annual claim life insurance
And joint density of x and y is given to us
[tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Event that the claim exceeds 0.5 but less than 2 can be written as 0.5≤ x+y ≤2
and claim of life insurance less than 1.5 can be written as 0 ≤ y ≤ 1.5
Required probability
= P( 0.5≤ x+y ≤2 ∩ 0 ≤ y ≤ 1.5 )
Lets plot this, to find the common region
For common region
when 0≤ x ≤ 0.5, then 0.5 ≤ y ≤ 1.5 ---- for region I
when 0.5≤ x ≤ 1, then 0 ≤ y ≤ 2-x ---- for region II
The required probability
= [tex]\int_{0}^{0.5} \int_{0.5-x}^{1.5}2x^3 dy dx+\int_{0.5}^{1} \int_{0}^{2-x}2x^3 dy dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3[\int_{0.5-x}^{1.5}dy] dx+\int_{0.5}^{1} 2x^3[\int_{0}^{2-x}dy] dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3(1.5-0.5+x) dx+\int_{0.5}^{1} 2x^3 (2-x) dx[/tex]
= [tex]\int_{0}^{0.5}2x^3 dx+\int_{0}^{0.5}2x^4 dx+\int_{0.5}^{1}4x^3 dx-\int_{0.5}^{1}2x^4[/tex]
= [tex][\frac{2x^4}{4}]_0^{0.5}+[\frac{2x^5}{5}]_0^{0.5}+[\frac{4x^4}{4}]_{0.5}^1-[\frac{2x^5}{5}]_{0.5}^1[/tex]
= [tex]$\frac{1}{32}+\frac{1}{80}+\frac{1}{16}-\frac{31}{20}$[/tex]
= 19/32
=0.59
(03.01)
Factor completely 2x^5 + 10x^4- 22x^3
Answer:
Step-by-step explanation:
2x^3(x^2 + 5x - 11)
what is the answer to 0.15 = y - 0.45
Answer:
0.6
Step-by-step explanation:
is 5x-7+3x and 3x-7+5x equivalent
Answer:
yes
Step-by-step explanation:
5x-7+3x =8x-7
3x-7+5x=8x-7
Since both result are the same, hence the functions are equal
Given the functions 5x-7+3x and 3x-7+5x, we are to check if the functions are equal.
For the function
5x-7+3x
= 5x+ 3x - 7
= 8x - 7
For the function 3x - 7 + 5x
Collect the like terms
3x + 5x - 7
8x - 7
Since both results are the same, hence the functions are equal
Learn more here: https://brainly.com/question/11496139
A building is 1 ft from a 11-ft fence that surrounds the property. A worker wants to wash a window in the building 14 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need
Answer:
17.2 feet
Step-by-step explanation:
The ladder is placed 9 feet away from the fence, which is 1 foot away from the building. Therefore, the ladder is [tex]9+1=10[/tex] feet away from the building.
We know that the window is 14 feet above ground.
We now have a triangle which we need to find the hypotenuse of.
/|
/ | 14
/_|
10
To find the hypotenuse, we can use the Pythagorean Theorem. This states that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a triangle and c is the hypotenuse.
The legs are 10 and 14, so lets substitute inside the equation.
[tex]10^2 + 14^2 = c^2\\\\100+196=c^2\\\\296=c^2\\\\c = \sqrt{296}\\\\c \approx 17.2[/tex]
Hope this helped!
In the diagram of circle A, what is the measure of
ZXYZ?
35°
70°
75°
140°
Using the intersecting secant theorem:
Angle xyz = 1/2( wz- XX)
Xyz = 1/2(175-105)
Xyz = 1/2(70)
Xyz= 35
The answer is 35 degrees
The measure of <XYZ is 35 degrees
Circle geometryTo find the measure of<XYZ, we will use the expression as shown below:
The angle at the vertex is half the difference of the intercepted arcs
<XYZ = 1/2(175 - 105)
<XYZ = 1/2(70)
<XYZ = 35 degrees
Hence the measure of <XYZ is 35 degrees
Learn more on geometry here: https://brainly.com/question/24375372
Salvador runs 24.5 miles per week. How many miles does he run each day?
Answer:
3.5 miles per day
Step-by-step explanation:
There are 7 days in a week
24.5 miles in a week
24.5 / 7 days
3.5 miles per day
Answer:
3.4 miles
Step-by-step explanation:
You would divide 24.5 by 7 since there are 7 days in a week giving you a quotient of 3.5
Point B lies on AC between A and C. If AB = 8 and AC = 10, find BC.
I need help on 13&14
Answer:
[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]
Simplifies to:
[tex]36i^2 + 3[/tex]
[tex]= 39[/tex]
Find the sum. 4.88 + 1.6 *
Answer:
6.48
Step-by-step explanation:
Start with:
[tex]4.88[/tex]
+ [tex]1.6[/tex]
I could understand why you may be confused, so one trick is to add a [tex]0[/tex] next to the [tex]6.[/tex]
Rewrite:
[tex]4.88[/tex]
+ [tex]1.60[/tex]
Add.
[tex]6.48[/tex]
You are 8 inches below the balance point height. write an integer that represents your height.
Answer: -8
Step-by-step explanation:
Your below so the integer will be negative.
a what are the odds in favor of drawing a black 7 in a deck of cards?
b. What are the odds against drawing a black 7 in a deck of cards?
Answer:
a. 1/25
b. 25/1
Step-by-step explanation:
There are 2 black 7s in a deck (7 of spades and 7 of clubs). So there are 50 cards that are not black 7s.
The odds in favor of drawing a black 7 is therefore 2/50 = 1/25.
The odds against drawing a black 7 is therefore 50/2 = 25/1.
Solve for x.
-2 (x + 1/4)+1=5
Enter your answer as a fraction in simplest form in the box.
X =
Answer:
[tex]x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]
SOMEONE HELP PLEASE.............
What is the x-coordinate of the solution of the following system of equations?
3x + y = 6
x - y = 6
A. -3
B. 0
C. 3
Answer:
(3,-3) or x = 3
Step-by-step explanation:
I solved this problem with the help of graphing, you would start by sketching each equation. The x-value of the point where both equations intersect would be solution to your equations.
Your target number of calories is 2400 per day to lose weight, but you are consuming 3200 calories per day. Your target is what percentage of your consuming calories?
Answer:
this is the answer that i got 1.333333333
Step-by-step explanation:
3200 divided 2400 = 1.333333333
Answer:
Step-by-step explanation:
The Booster Club has a goal of raising at least $300. The Club has already raised $175. The Booster Club is
sponsoring a pancake breakfast and charging $3.00 per ticket.
What inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal?
Answer:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
Step-by-step explanation:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that The Booster Club has a goal of raising at least $300.
The Club has already raised $175
The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.
175+3t≥300
One hundred seventy five plus three times t greater than or equal to three hundred.
We have used greater than or equal to in inequality because in data given atleast.
Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
To learn more on Inequality click:
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Which angles are right?
Check all that apply.
A. GFE
B. MLK
C. EFH
D. KLJ
Answer:
<MLK
<EFH
<KLJ
Step-by-step explanation:
Each Is At A Right Angle, I Just Answered This On My Quiz.
An entire music store is offering a deal : buy 2 albums and revive a third album for $8.99, another album for $12.95. And a third album for $5.99. How much will joe pay for all 3 albums?
Step-by-step explanation:
If I'm not wrong it should be 27.93
(1 point) Consider the system
2x + y = 3
-8x + ay = -11
Find a value of a so that the system is inconsistent. If there is no such value, write none.
a =
Answer:
a=-4
Step-by-step explanation:
1) Isolate x for 2x+y=3 which will give us x=3-y/2
2) Substitute 3-y/2 in the equation -8x+ay=-11
3) Then we simplify
4) Isolate for y
5)Then we simplify in order to get -4
(x+5)(x-5) Multiplying special case polynomials
Answer:
x^2 - 25 ✔
Step-by-step explanation:
(x+5)(x-5)
x(x-5) +5(x-5)
x^2 - 5x + 5x - 25
x^2 - 25
what point on a number line repersent sae level
0 because anything below sea level will be in the negatives and anything above will be and positive number higher than 0 :D
Hope this helped
The square of root of 7/8?
Answer:
[tex]\frac{\sqrt{14} }{4}[/tex]
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle A.
Answer:
May I ask why you are you doing this math in college?
Step-by-step explanation:
Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 13 Shift the graph of y = x2 right 13 units. Shift the graph of y = x2 left 13 units. Shift the graph of y = x2 down 13 units. Shift the graph of y = x2 up 13 units.
Divide. 1/3 ÷ 4/5 Express your answer in simplest form. Enter your answer in the box.
1/3 divided by 4/5 = 5/12
A claim is made that expression 1 and expression 2 are equivalent. A student is asked to provide proof that the claim is true.
Expression 1: −3(2x−6y)−2x
Expression 2: 18y−8x
Which of the following options could the student use to provide proof that the two expressions are equivalent? Select TWO that apply.
A
They could multiply expression 2, (18y−8x) by −3 and then compare their result to expression 1.
B
For expression 1, they could multiply (2x−6y) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.
C
For expression 1, they could multiply (2x) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.
D
They could substitute in the values x=1 and y=2 into both expressions, solve the expressions, and determine if both expressions result in the same value.
E
They could substitute in the values x=1 and y=1 into expression 1 and x=2 and y=2 into expression 2. Then, they could solve both expressions and determine if both expressions result in the same value.
Answer:
The answer is B
Answer:
The answer is B and A
Step-by-step explanation:
The owner of an appliance store bought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?
Answer:
8307 dhdhdhsjs
Step-by-step explanation:
vahahahwhahehe
Answer: 8,307$
Step-by-step explanation:
279$ x 15 = 4185$
229$ x 18 = 4122$
4185$ + 4122$ = 8,307$