Answer:
We have [tex]\mathbf{U= 9x^3 \:and\:V=y+1}[/tex]
Step-by-step explanation:
We want to factor the expression [tex]81x^6-(y+1)^2[/tex] in the form of (U+V)(U-V)
We need to find U and V
We can use formula : [tex]a^2-b^2=(a+b)(a-b)[/tex]
We can write [tex]81x^6[/tex] as [tex](9x^3)^2[/tex]
Now we have the expression:
[tex]81x^6-(y+1)^2\\=(9x^3)^2-(y+1)^2[/tex]
Applying formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]=(9x^3+y+1)(9x^3-(y+1))\\=(9x^3+y+1)(9x^3-y-1)[/tex]
So, we have [tex]\mathbf{U= 9x^3 \:and\:V=y+1}[/tex]
[tex]f(x) = - 2(x - 4) ^2 + 6[/tex]
what is the vertex of this function ?
Answer:
x = 4
Step-by-step explanation:
x = 4 is the vertex of the function.
This is a negative quadratic equation and the vertex is the zero of the function. We set (x - 4) equal to 0 and solve.
x - 4 = 0
x = 4
What is the approximate area of the circle shown below?
Answer:
do you have a picture to go with it's?
please help me asap
Answer:
2 5/18
Step-by-step explanation:
It's the last choice
You are facing North. Turn 90 degrees left. Turn 180 degrees right. Reverse the direction. Turn 90
degree left Reverse the direction. In which direction are you facing now?
E. East
F. West
G. North
H. South
Answer:
i believe that it's north
A rectangle has a length of 3 1/4 feet and a width of 1 1/3 feet. What is the area of the rectangle?
Answer:
the answer is simple 4 1/3
Step-by-step explanation:
you can support me with brainliest
Answer:
13/3 or 4 1/3
Step-by-step explanation:
area of rectangle = length * width
3 1/4 feet as an improper fraction is 13/4
1 1/3 feet as an improper fraction is 4/3
length * width
13/4 * 4/3
= 13/3 or 4 1/3
which formula represents a substance that contains covalent bonds 1) LiCl 2)CaCl2 3)K2O 4)CO2
Answer:
It is CO2 Number 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Colin buys a tv
for £800.
It depreciates at a rate of 4% per year.
How much will it be worth in 3 years?
Give your answer to the nearest penny where appropriate.
The amount of the tv in 3 years which depreciates at a rate of 4% per year is £708 .
Compound interest is interest calculated on the principal and the interest accrued in previous periods. It differs from simple interest where interest is not added to the principal when calculating interest for the next period. In mathematics, compound interest is usually represented by C.I.If the interest is compounded annually, then amount is given by [tex]A=P(1+\frac{r}{100} )^t[/tex] where " A " = Amount , " R " = annual interest rate , "T" = number of years , " P" is principal amount .
We have given principal amount = £800 , rate = 4% and time = 3 years .
Putting above values in equation (1) , we get
[tex]A=800(1-\frac{4}{100} )^3\\A= 800(1 -0.04)^3\\A=800(0.96)^3\\A=800\times 0.88\\A= \£707.78[/tex]
Note that the minus sign is due to depreciation .
On rounding off , amount will be £708 .
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let m>0. match each inequality with its graph. Explain your reasoning.
Answer:
a. C
b. A
c. B
d. D
Step-by-step explanation:
[tex]a.\ \ \frac{x}{m} < -1 \Longleftrightarrow x < -m[/tex]
Then
The graph that represents the inequality is C.
[tex]b.\ \ \frac{x}{m} > 1 \Longleftrightarrow x > m[/tex]
Then
The graph that represents the inequality is A.
[tex]c.\ \ \frac{x}{m} < 1 \Longleftrightarrow x < m[/tex]
Then
The graph that represents the inequality is B
[tex]d.\ \ -\frac{x}{m} < 1 \Longleftrightarrow -x < m \Longleftrightarrow x > -m[/tex]
Then
The graph that represents the inequality is D.
what is 3% increase of 775 dollars?
Answer:
23.25
Step-by-step explanation:
i have no question x = 2. apples
Answer:
ok
Step-by-step explanation:
................................................
Step 3: Estimate the Volume of Each Regularly Shaped Ball
Estimate the volume of each ball. Use the formula
4
V== πr³
where Vis the volume and r is the radius. Record the
volumes in Table A of your Student Guide.
What is the estimated volume of the table tennis ball
cm³
What is the estimated volume of the golf ball?
cm³
estimated Volume of tennis ball by given data = 38.808 .
estimated Volume of golf ball by given data = 33.523 .
WHAT IS SPHERE ? HOW TO FIND ITS VOLUME ?In terms of geometry, a sphere is described as a collection of points that are spaced apart by a specific amount. The supplied point is referred to as the sphere's center, and the given distance from the sphere's center to the collection of points that make up the sphere is referred to as the sphere's radius.
Many everyday things, including balls and globes, are spheres. Finding a sphere's radius and entering it into the straightforward formula V = [tex]\frac{4}{3}[/tex]π [tex]r^{3}[/tex] will allow you to determine its volume.
CALCULATIONGiven: The radius of the tennis ball is 2.1cm and the radius of the golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .
To find: Volume of tennis ball and golf ball .
Formula used: V = [tex]\frac{4}{3}[/tex]π [tex]r^{3}[/tex] .
pi(π) =[tex]\frac{22}{7}[/tex] .
We are given that
Radius of the tennis ball = 2.1 cm
radius of the golf ball =2.0 cm.
We need to find the volume of each ball
So , plugging the given values of radius in above formula
Volume of the tennis = [tex]\frac{4 * 22 * (2.1)^{3} }{3 * 7}[/tex] = 38.808 [tex]cm^{3}[/tex]
On simplification we get, volume of tennis ball = 38.808 [tex]cm^{3}[/tex]
Volume of the golf ball= [tex]\frac{4 * 22 * (2.0)^{3} }{ 3*7}[/tex] = 33.523[tex]cm^{3}[/tex]
On simplification we get, volume of golf ball = 33.523[tex]cm^{3}[/tex]
∴ The volume of tennis ball = 38.808[tex]cm^{3}[/tex]
Volume of golf ball = 33.523[tex]cm^{3}[/tex]
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identify the k-value that makes the relationship shown in the table below proportional.
Answer:
The value of k that makes the relationship shown in the table below proportional is [tex]\mathbf{\frac{1}{2}}[/tex]
Step-by-step explanation:
The relation is proportional if [tex]y=kx \:or\:k=\frac{y}{x}[/tex]
Putting values of x and y to find k.
For x =2 and y =1 k is: [tex]k=\frac{y}{x}=\frac{1}{2}[/tex]
For x =4 and y =2 k is: [tex]k=\frac{y}{x}=\frac{2}{4} =\frac{1}{2}[/tex]
For x =6 and y = 3 k is: [tex]k=\frac{y}{x}=\frac{3}{6} =\frac{1}{2}[/tex]
For x = 8 and y = 4 k is: [tex]k=\frac{y}{x}=\frac{4}{8} =\frac{1}{2}[/tex]
For x =10 and y = 5 k is: [tex]k=\frac{y}{x}=\frac{5}{10} =\frac{1}{2}[/tex]
So, The value of k that makes the relationship shown in the table below proportional is [tex]\mathbf{\frac{1}{2}}[/tex]
Each dairy cow in the U.S. produces an average
of 25 quarts of milk per day. Given that there are
quarts in a gallon, how many gallons of milk does a
cow produce?
What is f(-3) for the function f(x) = -5x - 7?
QUESTION 4 of 10: It is estimated that 32 patrons will attend an event for every $100 spent in advertising. If tickets cost $75, how much can a
promoter expect to increase sales if he spends $25,000 in advertising?
Answer:
$575000Step-by-step explanation:
Spend on advertising = $25000
32 patrons per $100
Number of patrons:
25000/100×32 = 8000Sales amount:
8000×$75 = $600000Increase in sales excluding advertisement cost:
$600000 - $25000 = $575000Answer:
$600,000
Step-by-step explanation:
$25,000 / 100 then 250 x 32 then 8,000 x 75 to get $600,000
In the phrase rise over run
what does rise indicate
Answer:
how far a line goes up
Step-by-step explanation:
rise/run gives the slope of the line
If a person makes $5.00 in 10 minutes, how much can she make in1.5 hours?
Please help due today!!!!!!!
Answer:
$45
Step-by-step explanation:
Is × = 12 a solution to the equation 6 + × 19?
A. no, because 6 + 12 = 19 is not true
B. yes, because 6 + 12 = 19 is true
C. no, because 6 + 12 = 19 is true
D. yes, because 6 + 12 = 19 is not true
Which set of ordered pairs does not represents a fraction
Given b = - 14 which equation is true
A. -28 + 2b = 53
B. 2b + 7 = 20
C. 6/7 + 18 = 16
D. b/2 + 7.4 = 1.4
Answer:
b/2 + 7.4 = 1.4 thus D. is the answer
Step-by-step explanation:
Solve for b:
b/2 + 7.4 = 1.4
Put each term in b/2 + 7.4 over the common denominator 2: b/2 + 7.4 = b/2 + 14.8/2:
(b/2 + 14.8/2) = 1.4
b/2 + 14.8/2 = (b + 14.8)/2:
((b + 14.8)/2) = 1.4
Multiply both sides of (b + 14.8)/2 = 1.4 by 2:
(2 (b + 14.8))/2 = 2×1.4
(2 (b + 14.8))/2 = 2/2×(b + 14.8) = b + 14.8:
b + 14.8 = 2×1.4
2×1.4 = 2.8:
b + 14.8 = 2.8
Subtract 14.8 from both sides:
b + (14.8 - 14.8) = 2.8 - 14.8
14.8 - 14.8 = 0:
b = 2.8 - 14.8
2.8 - 14.8 = -12:
Answer: b = -12
What is -3(2a + 5b - 4y - 2)?
Answer: -6a-15b+12y+6
Step-by-step explanation:
A ball is launched upwards from a height of 4 feet. The ball’s height as a function of time, in seconds, is modeled by the function h(t)= -16t^2 +80t +4. What is the time interval in which the ball has a height greater than 100 feet?
Answer:
Between 2 & 3 seconds. Or we can write it as 2<t<3
Step-by-step explanation:
t = elapsed time in seconds
h(t) = height of the ball at time t
So we just need to replace h(t) with 100 and start to solve. In the end, the answer will be t=2, or t=3 or we can write it as 2<t<3. You can check it by plugging in the number into the equation.
Luke made 25% of his free throws over the season if he shot 200 free throws how many did he make?
Based on the number of throws Luke had and the percentage he made, the number he made was 50 throws.
Number of Free Throws MadeThere were 200 free throws in the season and Luke was able to make about 25% of them.
The formula to find this is therefore:
= Number of free throws x Percentage made
Solving gives:
= 200 x 25%
= 50 throws
In conclusion, Luke made 50 throws.
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Look at this triangle.
B
13 cm
A
8 cm
Work out length BC.
Using the Pythagorean theorem:
BC = sqrt(13^2 - 8^2)
BC - sqrt(169 - 64)
BC = sqrt(105)
The exact dimension is sqrt105
If it needs be be in decimal format, sqrt(105) = 10.24695
39 decreased by a number p
Answer:
mm
Step-by-step explanation:
I don't know sooorryy
Tessa returned a book to the library 16 days
late. If she was charged $0.35 per day,
what was the total fine?
Answer:
5.60
Step-by-step explanation:
Answer: $5.60
Step-by-step explanation:
Given:
Tessa did not return her book for 16 daysThe fee per day was $0.35We must find:
The total cost after 16 daysLet t = total cost.
We will multiply 0.35 by 16 to get the answer.
t = 5.60Suppose that the weather forecast indicates a 10% chance that cold weather will reduce the citrus grower’s profit from $100,000 to $85,000 and a 10% chance that cold weather will reduce the profit to $75,000. Should the grower spend $5000 to protect the citrus fruit against the possible bad weather?
Answer:
We can think in this situation as:
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $15,000
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $25,000
And in the remaining 80% (or a probability equal to 0.8), the profit does not change.
Then the expected value for the total profit can be written as:
EV = $100,000 + ( 0.1*(-$15,000) + 0.1*(-$25,000) + 0.8*$0)
= $96,000
In the case where the citrus grower spends $5000 to protect the fruits against possible bad weather, there is a 100% that is profit will not change, but he must pay $5,000
Then his profit will be:
P = $100,000 - $5,000 = $95,000
So in this case, the profit is $1000 less than the expected profit in the prior case. So the scenario where he does not buy the protection has a larger expected profit, which may mean that is better to not buy it (in a straight mathematical point of view)
One also could think that the values are really close together, so buying the protection does not mean a big change, and increases the security
Morgan is visiting a city and wants to take a taxi. The driver tells Morgan that they charge per kilometer and
shows this table describing their cost:
The amount it would cost Morgan to travel 13 km is £32.5
Calculating CostFrom the question, we are to calculate how much it would cost Morgan to travel 13 km
From the given table, we have that
The cost of traveling 5 km is £12.50
and
The cost of traveling 10 km is £25
First, we will determine the cost of traveling 1 km
If the cost of traveling 5 km is £12.50
Then,
The cost of traveling 1 km will be £12.50/5
£12.50/5 = £2.5
The cost of traveling 1 km is £2.5
Now,
If the cost of traveling 1 km is £2.5
Then,
The cost of traveling 13 km will be 13 × £2.5
13 × £2.5 = £32.5
Hence, the amount it would cost Morgan to travel 13 km is £32.5
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What is the Decimal equivalent for fraction 4/8
Answer:
I hope this helps you
Step-by-step explanation:
4/8 = 0.5
-9 - (-4) =
What does that equal to?
Answer:
-5
Step-by-step explanation:
When you subtract a negative you end up adding it instead