Answer:
C. (x - 9)(x^2 + 9x + 81).
Step-by-step explanation:
The cube identities are
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Checking against the list the one that fits is the difference formula:
x^2 - 9^2 = (x - 9)(x^2 + 9x + 81).
a=1, b = 9, ab = 1 *9 = 9.
A boy has 27 cubes, each with sides the length of 1cm. He uses these cubes to build one big cube. What is the volume of the big cube?
Answer:54
volume:side*side*side
side:1 cm*1 cm *1 cm
answer=icm
New question! What's the average of 156218 and 8162336
Answer:
4159277
Step-by-step explanation:
156218 and 8162336
Add the two numbers and divide by 2
(156218 + 8162336)/2 =
8318554/2=
4159277
Answer:
4159277
Step-by-step explanation:
156218+8162336
=8318554
8318554 divided by 2 = 4159277
you add both numbers and divide by how many you added
which three lengths could be the lengths of the sides of a triangle?
21 cm, 7 cm, 6 cm
12 cm 5 cm 17 cm
9 cm 22 cm, 11 cm
10cm 25cm, 24cm.
Answer:
None of the sides can be a triangle.
Step-by-step explanation:
Evaluate the following:
Answer:
csc∅ = 25/7
sec∅ = 25/24
cot∅ = 24/7
Step-by-step explanation:
Cosecant (csc) is 1/sin∅ or hypotenuse over opposite
Secant (sec) is 1/cos∅ or hypotenuse over adjacent
Cotangent (cot) is 1/tan∅ or adjacent over opposite
A certain three-cylinder combination lock has 65 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. Repetitions are allowed, and any of the 65 numbers can be used at each step to form the combination. What is the probability of guessing a lock combination on the first try?
Answer:
1/275,625 ≈ 3.641×10^-6
Step-by-step explanation:
There are 65×65×65 = 274,625 possible combinations. The probability of guessing the correct one is 1/275,625 ≈ 3.641×10^-6.
What is the domain of the relation graphed below?
Answer:
domain: (-4,4)
Step-by-step explanation:
i'm not sure if it has brackets because it doesn't have point that are on x-intervals -4 and 4
Please answer this correctly
Answer:
50%
Step-by-step explanation:
There are 3 numbers fitting the rule, 1, 2, and 6. There is a 3/6 chance rolling one of them or 50%.
Answer:
50%
Step-by-step explanation:
1 value> 5 and 2 values<3, out of total of 6
P (greater than 5 or less than 3) = 3/6= 50%
Algebra 1 help. I got A
Answer: A
Step-by-step explanation:
(f-g)(x) means f(x)-g(x). Since we are given f(x) and g(x), we can directly subtract them.
4x+1-(x²-5) [distribute -1]
4x+1-x²+5 [combine like terms]
4x-x²+6 [rewrite in the order of exponents]
-x²+4x+6
helppppppp pleassssseeeeee
Answer:
First blank is 4, second blank is 0
Step-by-step explanation:
divide it :)
Answer:
Yellow box #1=0
Yellow box #1=4
Step-by-step explanation:
what is the y-coordinate of point 7? Write a decimal coordinates.
Answer:
The y-coordinate is -4.5
Step-by-step explanation:
Point has x-coordinate -3 and y-coordinate -4.5.
Answer:
the y-coordinate is -4.5
Step-by-step explanation:
the x-coordinate is -3
the y-coordinate is in between -4 and -5. from here one can assume it is half way unless there is information that has not been stated.
In between -4 and -5 is -4.5 so the y-coordinate is -4.5
the coordinate of point 7 is ( -3, -4.5)
What is the best estimate for the value of the expression?
34
8
16
3
14
9.
-3
-21
O7
Answer: 8 is the anwser
Step-by-step explanation:
The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of pgreater than0.5,which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the method, which of the following P-values would you prefer: 0.999, 0.5, 0.95, 0.05, 0.01, 0.001? Why?
Answer:
0.001
Step-by-step explanation:
Here, the aim is to support the null hypothesis, Ha. Where Ha: p > 0.5. Which means we are to reject null hypothesis H0. Where H0: p = 0.5.
The higher the pvalue, the higher the evidence of success. We know If the pvalue is less than level of significance, the null hypothesis H0 is rejected.
Hence the smallest possible value 0.001 is preferred as the pvalue because it corresponds to the sample evidence that most strongly supports the alternative hypothesis that the method is effective
Write a number with 2 decimal places, that is bigger than 4 and 1/5 but smaller than 4.25?
Answer: 4 wholes and 1/5 is 4.20 and you need something greater than that but less than 4.25 which still has only 2 decimals.
Add. Answer as a fraction. Do not include spaces in your answer. Do not include spaces in your answer.
Answer: 49/9
Step-by-step explanation: 42/9 + 7/9 = 49/9
Make first fraction into improper fraction with the same common dominator as 7/9 and add them both
Hope this helps:)
Answer:
49/9
Step-by-step explanation:
simplify 2(4+8)÷2(8+8)
192.
2(8+4)÷2(8+8) = 1(4+8)×(8+8)
1×12×16=192.
Answer:
192Step-by-step explanation:
[tex]2(4 + 8) \div 2(8 + 8)[/tex]
Any expression divided by itself equals 1
[tex]1(4 +8) \times (8 + 8)[/tex]
Add numbers
[tex]1 \times 12 \times 16[/tex]
Any expression multiplied by 1 remains the same
[tex]12 \times 16[/tex]
Multiply the numbers
[tex]192[/tex]
Hope this helps...
Good luck on your assignment..
please answer thank you
Answer:
Option A
Step-by-step explanation:
Given function is,
f(x) = x² + 3x + 5
We have to find the value of f(a + h) so we will substitute (a + h) in place of x, and simplify the expression.
f(a + h) = (a + h)² + 3(a + h) + 5
= a² + 2ah + h² + 3(a + h) + 5 [(a + b)² = a² + 2ab + b²]
= a² + 2ah + h² + 3a + 3h + 5
Therefore, Option A will be the answer.
Convert 3 over 7 into a percent.
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 3/7 as a percent, we need to find a fraction
equivalent to 3/7 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have [tex]\frac{3}{7} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (3)(100) which is 300 is equal to (7)(n) or 7n.
So we have the equation 300 = 7n.
Next, dividing both sides of the equation by 7, we have 42.8571 = n.
So 3/7 is equal to 42.8571/100 or 42.8571%.
A scooter runs 40 km using 1 litre of petrol tje distance covered by it using 15/4 litres of petrol is
Answer:
150 km
Step-by-step explanation:
1 liter ............ 40 km
15/4 liter .........x km
x = 15/4×40/1 = 600/4 = 150 km
The total amount of deductions from an employee’s gross pay is $83.20. If the gross pay is $378.18, what percent of their gross pay is being withheld? a. 21% b. 22% c. 23% d. 24%
Answer: B. 22%
Step-by-step explanation:
Answer:
Yeah its 22%
Step-by-step explanation:
After the last ice age began, the number of animal species in Australia changed rapidly. The relationship between the elapsed time, t, in years, since the ice age began, and the total number of animal species, S year(t), is modeled by the following function: S year(t)=25,000,000⋅(0.78)t Complete the following sentence about the rate of change in the number of species in decades. Round your answer to two decimal places. Every decade, the number of species decays by a factor of
Answer:
Every decade, the number of species decays by a factor of 0.0834.
Step-by-step explanation:
Let be [tex]S(t) = 25,000,000\cdot 0.78^{t}[/tex], [tex]\forall t \geq 0[/tex]. The decay rate per decay is deducted from the following relation:
[tex]\frac{S(t+10)}{S(t)} = \frac{25,000,000\cdot 0.78^{t+10}}{25,000,000\cdot 0.78^{t}}[/tex]
[tex]\frac{S(t+10)}{S(t)} = 0.78^{t+10-t}[/tex]
[tex]\frac{S(t+10)}{S(t)} = 0.78^{10}[/tex]
[tex]\frac{S(t+10)}{S(t)} = 0.0834[/tex]
Every decade, the number of species decays by a factor of 0.0834.
Answer:
28% subtracted
Step-by-step explanation:
khan
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. (Give answers to 2 decimal places) Store's Card Major Credit Card
Sample size 64 49Sample mean $140 $125Population variance $100 $641. A point estimate for the difference between the mean purchases of the users of the two credit cards is:________.2. At 95% confidence, the margin of error is:____________.3. A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is___ to ___.
4. The test statistic for an alpha of .05 is:____________.
Answer:
Step-by-step explanation:
1) Point estimate is the difference between the sample means. Therefore,
A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15
2) Margin of error = z√(σ²/n1 + σ2²/n2)
Where
z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96
s1 and s2 are standard deviation for both customers respectively.
Standard deviation = √variance
σ1 = √100 = 10
σ2 = √641 = 25.32
Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5
At 95% confidence, the margin of error is 7.5
3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error
Confidence interval = 15 ± 7.5
The upper boundary for the confidence interval is
15 - 7.5 = 7.5
The lower boundary for the confidence interval is
15 + 7.5 = 22.5
A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5
4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)
z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)
z = (140 - 125)/√10²/64 + 25.32²/49
z = 1.02
The test statistic for an alpha of .05 is 1.02
of the digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select a DVR that is not defective? The probability is nothing.
Full question:
Eighteen of 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?
Answer:
16/25
Step-by-step explanation:
Probability is the likelihood of an event happening and it is calculated as the number of favourable outcomes divided by the total number of possible outcomes. From the above we can calculate probability of finding a DVR that is not defective by adding up number of DVRS that are not defective in the DVRS(favourable outcomes) and dividing it by the total number of DVRS(total number of possible outcomes).
Non defective dvrs=total number of dvrs-defective dvrs=50-18=32
So probability here=non defective dvrs/total number of dvrs
=32/50=16/25
HELP ON THIS QUESTION PLEASE
Answer:
slope is m=1. y-intercept is -1
Answer:
Slope is 1 and intercept is -1. Slope can be found by taking the rise and run of 2 points on a graph. and intercept is just when x = 0
Translate into an algebraic expressions: b is decreased by 40% and decreased again by 40% . What is the result ?
Answer:
Result = 9b/25 or 36b/100
Step-by-step explanation:
The number is b
step 1
b is decreased by 40%
value of 40% of b = 40/100 *b = 4b/10
New value after this change = b - 40% decreased value of b = b -4b/10
= (10b-4b)/10 = 6b/10
Step 2 The new value obtained is again decreased by 40%
value of 40% number found in step 1 = 40% of value found in step 1
value of 40% number found in step 1 = 40/100 * 6b/10 = 24b/100
This value (24b/100) is subtracted from value found in step 1(6b/10) as given that value obtained is decreased by 40%
new value found after 40% decrease = 6b/10 - 24b/100
new value found after 40% decrease = 60b/100 - 24b/100= 36b/100
new value found after 40% decrease = 36b/100 = 9b/25
Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25
A family has a phone plan that includes 4 GB of data per month. 10 days into a 30-day month, the family has used 1 GB. At that rate, how many GB will the family use for the entire month?
Answer:
3 GB
Step-by-step explanation:
Since the family has used 1 GB in 10 days. With the same rate in 30 days they would have 3 GB
Suppose that the relationship between the tax rate t on imported shoes and the total sales S (in millions of dollars) is given by the function below. Find the tax rate t that maximizes revenue for the government. (Round your answer to three decimal places.)
S(t) = 7 â 6(cubedroot(t))
Answer:
66.992%
Step-by-step explanation:
[tex]Sales, S(t)=7-6\sqrt[3]{t}[/tex]
Since we want to maximize revenue for the government
Government's Revenue= Sales X Tax Rate
[tex]R(t)=t \cdot S(t)\\R(t)=t(7-6\sqrt[3]{t})\\=7t-6t^{1+1/3}\\R(t)=7t-6t^{4/3}[/tex]
To maximize revenue, we differentiate R(t) and equate it to zero to solve for its critical points. Then we test that this critical point is a relative maximum for R(t) using the second derivative test.
Now:
[tex]R'(t)=7-6*\frac{4}{3} t^{4/3-1}\\=7-8t^{1/3}[/tex]
Setting the derivative equal to zero
[tex]7-8t^{1/3}=0\\7=8t^{1/3}\\t^{1/3}=\dfrac{7}{8} \\t=(\frac{7}{8})^3\\t=0.66992[/tex]
Next, we determine that t=0.6692 is a relative maximum for R(t) using the second derivative test.
[tex]R''(t)=-8*\frac{1}{3} t^{1/3-1}\\R''(t)=-\frac{8}{3} t^{-2/3}[/tex]
R''(0.6692)=-3.48 (which is negative)
Therefore, t=0.66992 is a relative maximum for R(t).
The tax rate, t that maximizes revenue for the government is:
=0.66992 X 100
t=66.992% (correct to 3 decimal places)
Explain in your own words why a polynomial can’t be a quadratic if a= 0?
If [tex]a = 0[/tex], then [tex]y = ax^2+bx+c[/tex] turns into [tex]y = 0x^2+bx+c[/tex]. That [tex]0x^2[/tex] term goes away because it turns into 0, and adding 0 onto anything does not change the expression.
So [tex]y = 0x^2+bx+c[/tex] turns into [tex]y = bx+c[/tex] which is a linear equation (b is the slope, c is the y intercept). It is no longer a quadratic as quadratic equations always graph out a curved parabola.
As an example, you could graph out [tex]y = 0x^2+3x+4[/tex] and note how it's the exact same as [tex]y = 3x+4[/tex], both of which are straight lines through the two points (0,4) and (1,7).
A dinner at a restaurant was advertised at $60 plus 18% tax. The total bill for this dinner was. Show working plss
Answer:
Total bill = $70.80
Step-by-step explanation:
$60 × 0.18 = $10.80
$60 + $10.80 = $70.80
Hope this helps! :)
Answer:
$70.8
Step-by-step explanation:
Since it is 18 percent tax,we need to find 18% of 60$.In order to do that we need to do 60/1 mutiplied by 18/100 and doing the math 18% of 60 =10.8
Now we have to add 60+10.8=$70.8
Thank you and I hope all you have an amazing day.Hope this helps you.Thank you.
From a group of 10 women and 15 men, a researcher wants to randomly select
women and men for a study in how many ways can the study group be selected?
O A 17,876
78,016,400
OG 105, 102,625
OD 00,000,000
WO
Answer:
The total number of ways the researcher can select 5 women and 5 men for a study is 7,56,756.
Step-by-step explanation:
The complete question is:
From a group of 10 women and 15 men, a researcher wants to randomly select 5 women and 5 men for a study in how many ways can the study group be selected?
Solution:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]
The number of women in the group: [tex]n_{w}=10[/tex].
The number of women the researcher selects for the study, [tex]k_{w}=5[/tex]
Compute the total number of ways to select 5 women from 10 as follows:
[tex]{n_{w}\choose k_{w}}=\frac{n_{w}!}{k_{w}!\cdot (n_{w}-k_{w})!}=\frac{10!}{5!\cdot (10-5)!}=\frac{10!}{5!\times 5!}=252[/tex]
The number of men in the group: [tex]n_{m}=15[/tex].
The number of men the researcher selects for the study, [tex]k_{m}=5[/tex]
Compute the total number of ways to select 5 men from 15 as follows:
[tex]{n_{m}\choose k_{m}}=\frac{n_{m}!}{k_{m}!\cdot (n_{m}-k_{m})!}=\frac{15!}{5!\cdot (15-5)!}=\frac{15!}{5!\times 10!}=3003[/tex]
Compute the total number of ways the researcher can select 5 women and 5 men for a study as follows:
[tex]{n_{w}\choose k_{w}}\times {n_{m}\choose k_{m}}=252\times 3003=756756[/tex]
Thus, the total number of ways the researcher can select 5 women and 5 men for a study is 7,56,756.
Susan can pick 4 pounds of coffee beans in an hour or gather 2 pounds of nuts. Tom can pick 2 pounds of coffee beans in an hour or gather 4 pounds of nuts. Each works 6 hours per day. a. Together, what is the maximum number of pounds of coffee beans the two can pick in a day
Answer:
144
Step-by-step explanation:
Susan can pick 4 pounds of coffee beans in an hour. Tom can pick 2 pounds of coffee beans in an hour. Together, they can pick 6 pounds of coffee an hour.
4 + 2 = 6
There are 24 hours in a day. Multiply the time by the amount that can be picked to find the answer.
24 × 6 = 144
Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.
Together they can pick a maximum of 36 pounds of coffee
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
given:
Susan can pick 4 pounds of coffee or 2 pounds of nuts.
Tom can pick 2 pounds of coffee or 4 pounds of nuts.
So, In 6 hours
Susan will pick
= 4 * 6
= 24 pounds of coffee.
In 6 hours,
Tom will pick
=2 * 6
= 12 pounds of coffee.
Hence, together they can pick a maximum of 36 pounds of coffee
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2