Using factorization, the algebraic expression 27d⁶ + 8g¹² is equal to (3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
What is FactorizationFactorization, also known as factoring, is the process of breaking down a number or an algebraic expression into its prime factors. It is a mathematical process that helps to simplify complex algebraic equations and it is used in a variety of mathematical applications, including algebra, calculus, and number theory.
In this problem, we have an expression in which can be factored to produce two smaller expressions.
27d⁶ + 8g¹² = (3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
The expression 27d⁶ + 8g¹² is equal to (3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
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Not a mf clue lololol
Answer:
3.75
Step-by-step explanation:
Not sure hehe.Sry for that.
A car producer stocks three types of tires: A, B, and C. Let P(A) = 0.40, P(B) = 0.15 and P(C) = 0.45. The percentage of defective tires is 2%, 1% and 5%, respectively.
Someone picks a tire off the shelf at random and it is Brand A.
If you want to know the probability that it is a defective tire (event D), which formula would you use? If you want to know the probability that it is a defective tire (event D), which formula would you use?
a) P(AD)= PD AP(A) PD)
b) P(D|A) = P(A|DP(D) P(A)
c) P(AD)= PD APD) P(A)
d) P(DA)= P(ADP(A) PD)
Answer:
The correct option is b) \(P(D|A)=P(A|D)P(D)\).
Step-by-step explanation:
The probability of selecting the different types of tires are:
P (A) = 0.40
P (B) = 0.15
P (C) = 0.45
The defective rate for the different types of tires are:
P (D|A) = 0.02
P (D|B) = 0.01
P (D|C) = 0.05
The formula to compute the probability that the tire is defective given that it is Brand A tire as follows:
\(P(D|A)=P(A|D)P(D)\)
HELP PLEASE FAST!!!!!
Answer: first choice is correct
Step-by-step explanation:
\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)
22/9 = 2.44
Therefore Point A is 22/9, Point B is \(\sqrt{10}\), Point C is \(\sqrt{13}\)
I need help on this question?
A farmer has two equal-size fields. He plants corn in 11/12 of the first field and in 6/12 of the second field. How much more of the first field does he plant with corn than the second field?
Answer:
41.66% more than 2nd ..........
If the border number is 9 and the expression is 6(b-2)+7 how many tiles are there
Answer:
8(9).894 is the correct answer
Adding and subtracting I need it right now the answer
Answer:
Just give me the questions and ill do it
Step-by-step explanation:
I need help with this math
Answer:
500 and 4.3
Step-by-step explanation:
A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.
5000 × 0.1 = 500
4300 × 0.001 = 4.3
Thus, the answers [in order] are 500 and 4.3
Hope this helps and feel free to ask any questions.
What is the area, in square meters, of the shaded part of the rectangle shown below?
Answer:
C) 100 cm²
Step-by-step explanation:
(14*6)/2*10
20/2*10
10*10
100
The area of the given shaded part of the rectangle is 100 square meters as shown.
What is the area of a triangle?The entire space filled by a triangle's three sides in a two-dimensional plane is defined as its area.
The fundamental formula for calculating the area of a triangle is A = 1/2 b h.
The area of the shaded part = area of the rectangle - area of the triangle
The area of the shaded part = 14 × 10 - (1/2) × 8 × 10
The area of the shaded part = 140 - 80/2
The area of the shaded part = 140 - 40
Apply the subtraction operation, and we get
The area of the shaded part = 100 meters²
Thus, the area of the given shaded part of the rectangle is 100 square meters.
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(5 1/2, - 7 1/2) and (5 1/2, - 1 1/2)
Answer:
Step-by-step explanation:
1) -2
2) 0
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the kindergarten section of lehigh valley has 12 classerooms . if each class room can a accommodate less than 15 kides how many kides the kindergartner section accommodate in all , write an slove an inequality ?
If each classroom can accommodate less than 15 kids, then we can assume that the maximum number of kids in each classroom is 14 (since 15 is not allowed). Therefore, the maximum number of kids in all 12 classrooms would be:
Max number of kids = 14 kids/classroom x 12 classrooms = 168 kids
So the kindergarten section can accommodate a maximum of 168 kids.
We can write this as an inequality as follows:
Let K be the number of kids in the kindergarten section. Then:
K ≤ 168
This inequality says that the number of kids in the kindergarten section (K) is less than or equal to 168. As long as the number of kids is less than or equal to 168, the kindergarten section can accommodate them all.
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
cesar gasto el 15% de sus ahorros en un celular por lo que ahora le queda 2.125 dolares ahorrados ¿cuanto dinero tenia inicialmente cesar?
Cesar initially had $2,500 in savings.
Let's solve the problem step by step.
Let's assume that the initial amount of money Cesar had is represented by "x" dollars.
According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:
0.85x = 2,125
To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:
x = 2,125 / 0.85
Calculating this value:
x = 2,500
Cesar initially had $2,500 in savings.
Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.
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There are 450 kids in 6th grade. out of these kids 40% chose French as their connection. how many kid chose French?
Answer:
180 kids chose French
Step-by-step explanation:
40/100 = x/450
4/10 = x/450
10•45= 450
4•45= 180
Solve the system by substitution.
y = -7x. y = -5x + 10
Answer: (-5,35)
Step-by-step explanation:
-7x=-5x+10
Get x on one side by adding 5x
-2x=10
Simplify by dividing by -2
X=-5
Substitute into y=-7x
Y=-7(-5)
Simplify
Y=35
can someone help PLS? its Surface Area of Composite Shapes
The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.
Given information:
The cylinder is sitting on the base of the cone.
The diameter of the base is 14 feet.
The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.
To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.
The surface area of the cone:
The radius of the cone is half of the diameter, which is 7 feet.
The lateral surface area of the cone can be found using the formula:
L = πrs, where r is the radius and s is the slant height.
L = π(7)(9) = 63π square feet
The base of the cone is a circle with a radius of 7 feet, so its area is:
A = πr² = π(7²) = 49π square feet
The surface area of a cylinder:
The radius of the cylinder is also 7 feet since it shares the same base as the cone.
The lateral surface area of the cylinder is:
L = 2πrh, where r is the radius and h is the height.
L = 2π(7)(11) = 154π square feet
The base of the cylinder is another circle with a radius of 7 feet, so its area is:
A = πr² = π(7²) = 49π square feet
Total surface area:
Adding the lateral surface area and the base area of the cone and cylinder, we get:
63π + 49π + 154π + 49π = 315π square feet
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I need help with both of these!
What is the part in the equation “45 is 15% of what number”?
Answer:
Step-by-step explanation:
help with both of these!
What is the part in the equation “45 is 15% of what number”?
Hatif has $150 in his account. He saves $80 each month. How long will it take before he has $630 in his account?
Answer:
6 months
Step-by-step explanation:
We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.
Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.
The equation representing the situation is:
$150 + $80n = $630
Now, let's solve for "n":
$80n = $630 - $150
$80n = $480
n = $480 / $80
n = 6
Therefore, it will take Hatif 6 months to reach $630 in his account.
A group of friends is playing a board game. As part of the game, each player is given the same number of cards. There are 6 players and 58 cards. How many cards will each player get if each player gets the same number of cards?
Answer:Each player would get 9 cards each with a reaminder of 4 cards left
Step-by-step explanation:6 times 9 is 54 + 4 is 58
Answer: 9
Step-by-step explanation:
To figure out the given problem below:
P = 6
C = 58
You have to divide the problem.
So \(58\) ÷ \(6 = 9\).
two numbers are in the ratio 7:5 and their difference in 22. find the number
Step-by-step explanation:
it's step by step explanation
elaine opened a saving account with a deposit of 1000. The interest on her account is compounded each year at a rate of 2%. Elaine whill not make any additional deposits to or withdrawls from her account. What will be the balance in Elaine's account at the end of 3 years. Round your answer to the nearest whole dollar
Answer:
$1,061
Step-by-step explanation:
2% of 1000 is 20.
If 2% is compounded yearly, then
year one- $1,020
year two- $1,040.40
year three- $1,061.21
Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.
Answer:
1061
Step-by-step explanation:
i need help asap
than you!
The highest height for the daily rainfall were for 5 and 6 inches
How to Interpret Dot Plots?Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.
From the given dot plot, we see the number of times for each height of rainfall.
Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.
Thus, we conclude those were the highest heights for the daily rainfall.
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Can someone please help me with#2,#5,and #9?I'm not sure how to find the answer.
You have to substitute a value to the x variable (0,1,2,3, etc) and then solve for the y value and place those points on the graph and make a line outlining each x,y.
Hope this helps :)
Comment if you need more help or if it is wrong :) :)
Given f(x)=x^2+6x and g(x)=4 x^2, find fg. fg(x)=
The composite function f·g(x) is 4x⁴+24x³.
The given functions are f(x)=x²+6x and g(x)=4x².
We need to find f·g(x).
We know that, f·g(x)=f(x)×g(x)
Here, f·g(x)=(x²+6x)×4x²
= x²×4x²+6x×4x²
= 4x⁴+24x³
Therefore, the composite function f·g(x) is 4x⁴+24x³.
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S= hp + 2B.
h = height
p = perimeter of base
b = area of base
Solve for h and b
The equation solved for the variable are;
h = S- 2B/p
b = S - hp/2
How to determine the equationsTo determine the equation, we need to know that the subject of formula for an equation is described as the variable that is made to stand on one end of the equality sign.
It is the variable that is being worked out.
From the information given, we have that;
S= hp + 2B.
To make the height with the variable 'h' the subject, we have;
collect the terms
hp = S - 2B
Divide by the coefficient
h = S- 2B/p
For b, we have;
S - hp = 2b
divide by the coefficient
b = S - hp/2
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The Henderson Toy Company is packaging clay in a container shaped like a regular square
pyramid. The base edges are 12 cm in length, and the slant height is 16 cm. Rounding to
the nearest tenth, how much clay will completely fill this container?
Answer:
190
Step-by-step explanation:
Which one of the following gives the best tools for measuring the center and spread? A. Mean and standard deviation B. Median and standard deviation C. Mean and IQR D. Median and IQHR
Mean and IQR (Interquartile Range) give the best tools for measuring the center and spread. So, the correct option is C.
The mean is a measure of central tendency that is calculated by adding up all the values in a dataset and dividing by the number of values. The mean is sensitive to extreme values, also known as outliers, and can be affected by skewed data.
The IQR is a measure of spread that gives the range of the middle 50% of the data. It is calculated by finding the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the data. The IQR is less sensitive to outliers than the standard deviation, which is a measure of spread that gives the average distance of the data points from the mean.
The median is a measure of central tendency that is the middle value in a dataset when the values are arranged in order. It is less sensitive to extreme values than the mean and is useful when the data is skewed.
While mean and standard deviation are commonly used measures of center and spread, they may not be appropriate for all datasets, especially those that are skewed or contain outliers. Therefore, mean and IQR are often preferred for summarizing the center and spread of such data.
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3+(-h)+(-4) where h equals 7
Answer:
-8
Step-by-step explanation:
3-7= -4-4 -4=-8 this is because it just minus it if its a plus and a minusTo wrap a gift, you can choose from 6 kinds of wrapping paper, 3 gift bags, 4 colors of ribbon, 2 bows, and 5 stickers. You choose either a style of wrapping paper or a gift bag. Then you choose one of each of the remaining items. Find the total number of ways you can wrap the gift.
Answer:
the answer would be 480 different ways because you would multiply all the numbers.
Un hombre posee 50 acciones con un valor de 30 cada una , la corporación declaró un dividendo del 6% pagadero en acciones ¿cuantas acciones poseía entonces?
el hombre tenía 50 acciones.
La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,
se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,
podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.
Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.
Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.
Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.
Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,
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