Step-by-step explanation:
Area of the circle = pi×r²
= 22/7 × 6 × 6
= 113.14 unit²
Answer:
A = 36π
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Radius r = 6
Step 2: Solve
Substitute in variable r [Area of a Circle Formula]: A = π(6)²[Area] Evaluate exponents: A = 36πAmar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.
Let's assume the number as x
According to the question,
2/3x-6=22
2x-6=22×3
2x= 66-6
2x=60
x=60/2=30
Therefore, as x=30, The number is 30 itself.
For the following find the values of X either by factoring or using the quadratic formula.
please explain step by step help ASAP
[tex] { - 3x}^{2} + 1 = 5x[/tex]
[tex] {10x}^{2} + 5x - 3 = - 6 + {7x}^{2} - 5x[/tex]
[tex] {4x}^{2} - 11 = - 2 { - 4x}^{2} + 9x[/tex]
The circumference of the moon is about 6,786 miles. What is the diameter of the moon rounded to the nearest mile?
Answer:
πd=6786 miles
3.14×d=6786
d=6786/3.14
d=2161.146 miles approximately
Helpppppp !!! Due in a few hours .
Answer:
y = -4/9x + 1/3 letter H
Step-by-step explanation:
Let's solve for y. 4x+9y=3 Step 1: Add -4x to both sides. 4x+9y+−4x=3+−4x 9y=−4x+3 Step 2: Divide both sides by 9. 9y 9 = −4x+3 9 y= −4 9 x+ 1 3
what is the definition of volume
also ya all get 78 points
Answer: The definition of volume is the amount of space in a certain 3D object.
Step-by-step explanation: For instance, a fish tank has 3 feet in length, 1 foot in width, and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.
The line plot below shows the amount of water, in liters, in 4 equal-sized containers
How many liters of water will each container have if the total amount is distributed equally among the 4 containers?
PLS HELP
Answer: multiply and estimate
Step-by-step explanation:
Answer:
the answer is : a
Step-by-step explanation:
What is the constant of proportionality in the equation y=2/3x
Answer: hope this helps . Check out the image I also have graph if u want
Step-by-step explanation:
Answer:
it's 2/3
Step-by-step explanation:
i have da proff
Work out and simplify where possible
a) 2/5+1/3
b) 5/9-1/2
What is the area of the rectangle below?
28 in 2
44 in 2
11 in 2
22 in 2
Answer:
28 in 2 simple
Step-by-step explanation:
multiply 7×4=28
GIVING BRAINLIEST FOR EXPLANATION AND ANSWER EXTRA POINTS
Answer:
x = 56.31%
Step-by-step explanation:
to find x, use [tex]tan^{-1}[/tex]
[tex]tan^{-1}[/tex] x = [tex]\frac{opposite}{adjacent}[/tex]
[tex]tan^{-1}[/tex] x = [tex]\frac{15}{10}[/tex]
[tex]tan^{-1}[/tex] x = 1.5
x = 56.3099
56.3099 = 56.31
Consider the equation:
4x + 3y - 23 = 42
4x+
The variables are:
The coefficients are:
The constants are:
Answer:
x=(-∞,∞)
y=65/3
Step-by-step explanation:
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
23 -11 10
6 -10
3
-5
0
A. The number 2 is a root of F(x) = 3x2 - 11x + 10.
O B. (x + 2) is a factor of 3x2 - 11x + 10.
C. (3x2 - 11x + 10) = (x - 2) = (3x - 5)
Answer:
A. the number 2 is a root of F(x) = 3x^2 - 11x +10
D. (x-2) is a factor of 3x^2 - 11x +10
E. (3x^2 - 11x + 10) / (x - 2) = (3x - 5)
Step-by-step explanation:
The solution is, B, E, and F.
i.e. B.) (x - 2) is a factor of 3x^2 - 11x + 10.
E.) 3x^2 - 11x + 10 ÷ (x-2) =(3x - 5)
F.) 2 is the root of F(x) = 3x^2 - 11x + 10
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).
Looking at the coefficients, we can see that our dividend is:
3x^2 - 11x + 10.
Our divisor will be (x - a), where a is the number on the very top left.
So, a = 2.
Thus, our divisor is:
(x-2)
Note that our remainder is 0.
So, the synthetic division shown is telling us that:
3x^2 - 11x + 10 ÷ (x-2)
=(3x - 5)
Hence, E is the correct choice. A uses the incorrect divisor.
If the divisor successfully divides with no remainder, then the divisor is a factor.
Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.
Hence, B is also correct.
C uses the wrong factor.
D uses the wrong value. It should be positive 2.
So, F is the correct choice.
Therefore, the answers are: B, E, and F.
To learn more on division click:
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#SPJ7
A typical high-income household in 1980 earned $140,397. A similar household in 2009
earned $168,727. What was the relative increase in income for these households from
1980 to 2009? Round to the nearest one percent.
Answer:
20.2 %
Step-by-step explanation:
A typical high-income household in 1980 earned $140,397.
A similar household in 2009 earned $168,727.
We need to find the relative increase in income for these households from 1980 to 2009.
It can be calculated as follows :
[tex]\%=\dfrac{168727-140397}{140397}\times 100\\\\=20.17\%\\\\=20.2\%[/tex]
So, the required percent is 20.2%.
What factors cause acid rain in Canada?
Answer: The primary cause of low pH in precipitation over northeastern North America is sulphuric acid (H2SO4) from industrial and urban emissions of sulphur dioxide (SO2). Nitric acid (HNO3) generated from emissions of nitrogen oxides (NOx) is a significant contributing factor in this region.
Step-by-step explanation:
Which point represents the product of point H and point J?
Answer:
B) I
Step-by-step explanation:
H = -1
J = 1
-1 + 1 = 0
so I
Hope this helped! Have a nice day, and plz mark as brainliest if correct!!!
-Lil G
Please help! Can anyone help me out with this question?
Answer:
[tex]\displaystyle h'(s) = 64s + 20[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle h(s) = (-8s - 9)(-4s + 2)[/tex]
Step 2: Differentiate
[Derivative] Product Rule: [tex]\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)][/tex][Derivative] Basic Power Rule: [tex]\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)[/tex][Derivative] Simplify: [tex]\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)[/tex][Derivative] Distribute [Distributive Property]: [tex]\displaystyle h'(s) = 32s - 16 + 32s + 36[/tex][Derivative] Combine like terms: [tex]\displaystyle h'(s) = 64s + 20[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Coach Smart's track team is selling pizza kits in order to raise money to attend the State Track competition. The pizza kits cost $24 each. The team needs to raise $1,500 in order to have enough money for the team to travel and compete in the competition. After the first month of sales, the team has sold a total of 43 kits.
Part A
Write an equation for the amount of money, m, that will be collected if p pizza kits are sold.
Answer:
24p=m
Step-by-step explanation:
In a study of the health effects of cigarettes, a random sample of 32 filtered cigarettes
was obtained and the tar content was measured. The sample has a mean of 19.2 mg.
Given that the tar content of cigarettes have a mean of 20.1 mg and a standard
deviation of 3.15 mg, what is the probability that 32 filtered cigarettes have a mean of
19.2 mg or less?
Round answer to 4 decimal places.
Answer:
0.0526 = 5.26% probability that 32 filtered cigarettes have a mean of 19.2 mg or less.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Given that the tar content of cigarettes have a mean of 20.1 mg and a standard deviation of 3.15 mg
This means that [tex]\mu = 20.1, \sigma = 3.15[/tex]
Sample of 32 filtered cigarettes
This means that [tex]n = 32, s = \frac{3.15}{\sqrt{32}} = 0.5568[/tex]
What is the probability that 32 filtered cigarettes have a mean of 19.2 mg or less?
This is the pvalue of Z when X = 19.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.2 - 20.1}{0.5568}[/tex]
[tex]Z = -1.62[/tex]
[tex]Z = -1.62[/tex] has a pvalue of 0.0526
0.0526 = 5.26% probability that 32 filtered cigarettes have a mean of 19.2 mg or less.
Can someone pls tell me the answer
Answer:
Part a is c and part b is d
Step-by-step explanation:
becauelss 3/8 wouldn't make 4 1/8. 3 would make 4 1/8
Shawna worked out for a total of 20 hours last month. The circle graph shows how Shawna
divided her time during her workouts last month.
Shawna's Workout Time
Rowing
machine
Weights
30%
Exercise bike
10%
Treadmill
40%
Based on the circle graph, for how many hours did Shawna use the rowing machin
Answer:
she spent 4 hours rowing
Step-by-step explanation:
the missing percent is 20, so she spent 20% of 20 hours rowing
this comes out to 4 hours
7x + 3y = 8
6x – 3y = 5
For the solution (x,y) to the system of equations
above, what is the value of x - y ?
Answer:
2/3
I have made in above picture
hope it helps
For the solution [tex](3,\frac{1}{3})[/tex] of the given system of equations, the value of x - y is [tex]2\frac{2}{3}[/tex]
To determine the value of x - y, we will solve the two equations simultaneously
We have
7x + 3y = 8 ------ (1)
6x – 3y = 5 ----- (2)
Solving by the elimination method
Add equations (1) and (2) together
We get
[tex]7x + 6x +3y -3y = 8 + 5[/tex]
Then,
[tex]13x = 13[/tex]
Now, divide both sides by 13
[tex]\frac{13x}{13} = \frac{13}{13}[/tex]
∴ [tex]x = 1[/tex]
Now, substitute the value of x into equation (1)
[tex]7x + 3y = 8[/tex]
We get
[tex]7(1) + 3y = 8[/tex]
[tex]7 + 3y = 8[/tex]
[tex]3y = 8-7[/tex]
Then,
[tex]3y = 1[/tex]
Divide both sides by 3
[tex]\frac{3y}{3} =\frac{1}{3}[/tex]
∴ [tex]y = \frac{1}{3}[/tex]
The solution to the system of equations is [tex](3,\frac{1}{3})[/tex]
Now, for the value of x - y, we will input the values of x and y
That is,
[tex]x -y = 3 -\frac{1}{3}[/tex]
[tex]= 2\frac{2}{3}[/tex]
∴ [tex]x-y =2\frac{2}{3}[/tex]
Hence, the value of x - y is [tex]2\frac{2}{3}[/tex]
Learn more here: https://brainly.com/question/12787642
Which statement about a parallelogram is false?
Diagonals are congruent.
Diagonals bisect each other.
Opposite sides are congruent.
Opposite angles are congruent.
Answer:
Diagonals are congruent.
Step-by-step explanation:
Palindrome numbers are numbers that read the same foward or backward. Here are some palindrome numbers: 11, 121, 75257, and 1234321. The smallest three digit palindrome is 101. How many palindrome numbers are there between 10 to 1000?
Answer:
99.
Step-by-step explanation:
A palindrome number is one that can be read in the same way both from the front and from the back. A clear example is the number 242, which starts and ends in the same way from the front or back.
Between 10 and 100, there are 9 palindromes, from 11 to 99. In turn, between 100 and 200, 200 and 300 and so on, each hundred has within it 10 palindromes (101, 111, 121, 131, 141 , 151, 161, 171, 181 and 191, for example).
Therefore, considering the 9 hundreds between 100 and 1000, there will be 90 palindromes, which added to the 9 between 10 and 100 give a total of 99 palindromes.
The GRE is an entrance exam that most students are required to take upon entering graduate school. In 2014, the combined scores for the
verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12.
what percent of scores were between 286 and 3227 Round your answer to the nearest whole number,
Answer:
82% of scores were between 286 and 322
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 310 and a standard deviation of 12.
This means that [tex]\mu = 310, \sigma = 12[/tex]
What percent of scores were between 286 and 322?
The proportion is the pvalue of Z when X = 322 subtracted by the pvalue of Z when X = 286. So
X = 322
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{322 - 310}{12}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 286
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{286 - 310}{12}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.8413 - 0.0228 = 0.8185
0.8185*100% = 81.85%
Rounding to the nearest whole number
82% of scores were between 286 and 322
If you answer correctly you get one of those crown things
Answer:
CDBE
Step-by-step explanation:
If you add angle CD and BE together it would be CDBE
what's the rule for number pattern
830 823 817 812 808
to subtract 7
then
To subtract 6
then
To subtract 5
then
To subtract 4
Evertime you subtract go down 1 number.
2 hundredth _ thousandth
Answer:
please give more information!
Step-by-step explanation:
Whats your favorite dog breed...?
Answer:
husky mix of germany shepherd
A movie on TV is 1 hour 45 minutes long with commericials . there are 6 commercials breaks each 4 minutes long how long is the movie without the commercials breaks ?
Answer:
6*4= 24 minutes of commercials
105-24= 81 minutes
1 hour and 21 minutes is the movie without commercial breaks
Step-by-step explanation:
Please Help
You are shopping for a cell phone. At which store could you find the least expensive cell phone?
Also Please explain the process
Answer: b
Step-by-step explanation: