What is the formula for the sum of interior angles of a regular polygon?
What is the product in simplest form?
−8/9 ⋅ 5/6
You flip a coin 5 times. in how many ways could u obtain at least one tail
Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y).
first step sum means addition so (12x+9y) +(-2y) = 12x +7y
second step subtract (4x -3y) from (12x+7y)
need to use the distributive property:
12x +7y - 4x - -3y =
12x + 7y - 4x +3y
combine like terms
8x+10y
Answer has been edited.
Answer:
Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y) is 8x + 10y .
Step-by-step explanation:
As given the expression
(12x + 9y) , (-2y) and (4x − 3y) .
First add the expression (12x + 9y) and (-2y) .
= (12x + 9y) - (2y)
First open the bracket
= 12x + 9y - 2y
= 12x + 7y
Now subtracted (4x − 3y) from 12x + 7y .
= 12x + 7y - (4x - 3y)
= 12x - 4x + 7y + 3y
= 8x + 10y
Therefore the Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y) is 8x + 10y .
Javier bought a microwave for $150. The cost was 30% off the original price, what was the original price
PLEASE ANSWER IMMEDIATELY
Given the function f(x) = x^2 - 9, classify the polynomial.
A. monomial
B. trinomial
C. binomial
1) Divide using synthetic division, and write a summary statement in fraction form.
two x to the fifth minus x to the fourth plus three x squared minus x plus five divided by quantity x minus one
a. 2x4 + x3 + 4x2 + 3x + eight divided by quantity x minus one
b. 2x4 + x3 - x2 + 2x + 1 + six divided by quantity x minus one
c. 2x4 + x3 + x2 + 4x + 3 + eight divided by quantity x minus one
d. 2x4 - 3x3 + x + six divided by quantity x minus one
2) Divide f(x) by d(x), and write a summary statement in the form indicated.
f(x) = x4 - 4x3 + 2x2 - 4x + 1; d(x) = x2 + 1
a. f(x) = (x2 + 1)( x2 + 4x + 1)
b. f(x) = (x2 + 1)( x2 - 4x + 1) + 12x + 3
c. f(x) = (x2 + 1)( x2 + 4x + 1) + 12x + 3
d. f(x) = (x2 + 1)( x2 - 4x + 1)
3) Find the remainder when f(x) is divided by (x - k).
f(x) = 3x3 - 4x2 - 3x + 14; k= 3
a. 50
b. 68
c. -12
d. 112
4) Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.
k = -1; f(x) = 4x3 - 2x2 + 2x + 4; Lower bound?
a. yes
b. no
5) Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
There are 16 apples in a basket. 9 of these apples are green. the rest of them are red. (a) what is the ratio of all apples in the basket to red apples? (b) what is the ratio of red apples to green apples?
The ratio of (a) the ratio of all apples in the basket to red apples = 16/7 and (b) the ratio of red apples to green apples = 7/9
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
There are 16 apples in a basket.
9 of these apples are green.
The rest of them are red.
So,
(a) To find the ratio of all apples in the basket to red apples,
Number of apples / number of red apples
= 16/9
(b) To find the ratio of red apples to green apples,
The number of green apples = 16 - 9 = 7
Number of red apples / number of green apples
= 7/9
Therefore, the ratio (a) 16/9 and (b) 7/9
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Be independent uniform random variables on [0, 1], and let u(n) be the maximum find the cdf of u(n) and a standardized u(n), and show that the cdf of the standardized variable tends to a limiting value.
The cumulative distribution function (CDF) of u(n), when u(n) is the maximum of n independent uniformly-distributed random variables, is given by x^n. After standardization, as n approaches infinity, the CDF of the standardized variable converges to a standard normal distribution, as per the central limit theorem.
Explanation:The subject matter relates to the field of statistics, specifically dealing with the concept of uniform distribution and standard normal distribution.
Let's denote the random variables as X1, X2, ..., Xn and they are uniformly distributed over [0, 1].Given that u(n) is the maximum of these random variables, the cumulative distribution function (CDF) of u(n) can be calculated as follows:
P(u(n) < x) = P(X1 < x, X2 < x, ..., Xn < x) = P(X1 < x) * P(X2 < x) * ... * P(Xn < x) = x^n
Given that Z = (u(n) - μ) / σ where μ is the mean and σ is the standard deviation. For the uniform distribution, μ = 0.5 and σ = √ (b - a)² / 12 = √1 / 12. Therefore, the standardized random variable Z can be calculated.
By the central limit theorem, as n increases, the standardized variable tends to a limiting value. Which means as n -> ∞ , the cumulative distribution function of Z = 1, the standardized variable converts to a standard normal distribution, and it poses bell-shaped curve form.
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Solve the inequality 0>-3×-2×.
What is the opposite of -a
the opposite of a negative is a positive
so opposite of - a would be positive a
V(t)=t2−3t what is the meaning of the quantity v(4) ?
PLEASE HELP
What is the equation of the line in slope-intercept form?
What is the inverse to this statement? Statement : If you feel hungry then you eat.
A. if you don't eat, then you don't feel good
B. if you feel hungry,then you don't eat.
C. If you eat, then you feel hungry
D. If you don't feel hungry, then you don't eat.
Answer:
D.Because if you feel hungry then you'll eat, but if your not hungry then you won't want to eat. Hope I helped!
Step-by-step explanation:
If an asset declines in value from $5000 to $3500 over nine years, what is the mean annual growth rate in the asset's value over these nine years? Round your answer to two decimal places.
Mean annual growth rate in the asset’s value over the nine years is -3.8856%.
Given that an asset declines in value from $5000 to 3500 over the nine years.
To determine the mean growth rate over some period of time, compute the geometric mean of the growth factors. A growth factor less than one indicate negative growth.
The formula for the geometric mean over n periods is given by
[tex]y_n =\sqrt[n]{ {y_1 \times y_2 \times y_3 \times ......\times y_n}}[/tex]
Suppose an asset declined over nine years.
[tex]3500 = 5000\times({y_1 \times y_2\times y_3 \times ..\times y_9})[/tex]
[tex]{y_1 \times y_2\times y_3 \times ..\times y_9} = 3500/5000\\\ y_1 \times y_2\times y_3 \times ..\times y_9} = 0.7[/tex]
Then, the mean annual growth factor over these nine years is,
[tex]y_9 = \sqrt[9]{0.7}[/tex]
= 0.961144
Compute the mean annual growth rate in the asset’s value.
= (0.961144 - 1) 100%
= -3.8856%
Therefore, the mean annual growth rate in the asset’s value is -3.8856%.
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To find the mean annual growth rate of an asset declining from $5000 to $3500 over 9 years, you calculate the growth rate 'r' using the formula P(t) = P0 * e^(rt). The result is about -5.13%, indicating a depreciation in the asset's value.
Explanation:To calculate the mean annual growth rate for an asset that declines in value, we can use the formula for the annual growth rate, which is P(t) = P0 * e(rt), where:
P(t) is the future value of the asset.P0 is the initial value of the asset.e is the base of the natural logarithm.r is the growth rate.t is the time in years.In this case, the value of the asset declines from $5000 to $3500 over 9 years. Therefore, we have:
P0 = $5000P(t) = $3500t = 9 yearsFirst, we need to solve for r in the equation:
3500 = 5000 * e(9r)
By dividing both sides by 5000 and taking the natural logarithm, we get:
ln(3500/5000) = ln(e(9r))
ln(0.7) = 9r
r = ln(0.7)/9
Substitute the value of ln(0.7) and divide by 9:
r = -0.0512932942
Since the result is negative, it indicates a decline, and the annual growth rate is about -5.13%, reflecting a decrease in value.
The hypotenuse of a 45°-45°-90° triangle measures 18 cm.
What is the length of one leg of the triangle?
9 cm
cm
18 cm
cm
Answer:
9√2
Step-by-step explanation:
18=x√2
18/12=x
√2(18/√2)=x
18√2/2=x
9√2=x
Which equation represents a line that passes through two points in the table
Answer: C
Step-by-step explanation: A P E X
What is the total amount of interest with 12,560 dollar stocks borrowed 2% simple interest for 4 years?
A car travels 90 miles in 1.5 hours. How many miles will it travel in 5 hours if its speed remains the same? A) 60 miles B) 180 miles Eliminate C) 222 miles D) 300 miles
HURRY I NEED THE ANSWER.
1. ABCD is a trapezoid with midsegment EF. If AB = 12 and CD = 24, what is the length of EF?
2. ABCD is a trapezoid with midsegment EF. If AB = 21 and CD = 35, what is the length of EF?
3. ABCD is a trapezoid with midsegment EF. If AB = 7 and EF = 9, what is the length of CD?
4. ABCD is a trapezoid with midsegment EF. If CD = 32 and EF = 22, what is the length of AB?
5. The length of the midsegment of a trapezoid is the _____ of the length of the two bases.
PLEASE HELP ME, SERIOUS ANSWERS ONLY PLEASE
Answer:
5
Step-by-step explanation:
Juan's income y consists of at least $37,500 salary plus 5% commission on all of his sales x. which inequality represents juan's income in one year? answer
Answer:
y < 37,500 + 5x I believe.
Gloria collected 28 fantail and comet goldfish. there were 4 fewer fantails than comets. how many comets did gloria have?
The equation e=1200+11t represents your elevation e in feet for each minute t you hike from a trailhead. If you graphed this equation, what would the slope represent?
Which is the range and interquartile range for the data represented by the box-and-whisker plot?
Help me!!!!!!!!!!!!!
Tim have 46 chocolate bars he eats 34.what does time have now.
A.12
B.8
C.diabetes
D.none of these
Rochelle is riding a bicycle whose wheels are 26 inches in diameter
Which shows the best path to find the number of centimeters in 1 yard?
To find the number of centimeters in 1 yard, convert yards to feet, then feet to inches, and finally, inches to centimeters. 1 yard is equal to 91.44 centimeters after applying the conversion factors 1 yard = 3 feet, 1 foot = 12 inches, and 1 inch = 2.54 centimeters.
To find the number of centimeters in 1 yard, we need to follow a two-step conversion process. First, we convert yards to feet, knowing that 1 yard equals 3 feet. Then, we convert feet to inches, since we know that 1 foot equals 12 inches. Finally, we convert inches to centimeters, using the conversion factor that 1 inch is equivalent to 2.54 centimeters.
So the path would look like this:
Convert yards to feet: 1 yard = 3 feet.
Convert feet to inches: 1 foot = 12 inches.
Convert inches to centimeters: 1 inch = 2.54 centimeters.
Applying these conversions to 1 yard:
1 yard * 3 feet/yard = 3 feet
3 feet * 12 inches/foot = 36 inches
36 inches * 2.54 centimeters/inch = 91.44 centimeters
Therefore, 1 yard is equivalent to 91.44 centimeters.
What is the square root of 500 divided by 2 x pi?
35.124, so rounded it is just 35.124
evaluate the expression 6+[(-24)÷6]/19