Answer:
c
Step-by-step explanation:
Simplify: Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 x Superscript 8 Baseline EndFraction EndRoot
The solution of the given expression is 9*\(x^{4}\)/100.
GIven an expression equal to 27\(x^{12}\)/300\(x^{8}\).
We have to simplify the expression in which variable comes only once.
Expression is combination of numbers ,symbols, fraction, coefficients, indeterminants,determinants, etc. It is mostly not found in equal to form. It expresses a relationship between variables.
The given fraction is 27\(x^{12}\)/300\(x^{8}\).
When we observe we find that in numerator x has large power and denominator x has small power as compared to power in numerator. So we will deduct the powers so that they will give only one power to us.
=27\(x^{4}\)/300
Now divide numerator an denominator by 3.
=9\(x^{4}\)/300
Hence the expression 27\(x^{12} /300x^{8}\) will look like \(9x^{4} /100\) after simplifying.
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Answer:
\(Simplify:\sqrt\frac{27x^{12} }{300x^{8} }\)
\(O \frac{9}{100}x^{4}\)
✔ \(\frac{3}{10} x^{2}\)
\(O \frac{27}{300} x^{4}\)
\(O\frac{9}{10} x^{2}\)
what is six hundred eighty and fourteen thousandths written in standard form?
Answer:618.014
Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.
Go step by step to reduce the radical.
Square Root 200
Answer:
10 root 2
Step-by-step explanation:
root 200 = root 2 × root 100 = 10 root 2
Let 2m - 1 be a prime number. Prove that m is also a prime number
Answer:
False.
Step-by-step explanation:
This is false.
A Counterexample:
7 is prime.
2(4)-1 is 7.
4 is not prime.
Another Counterexample:
11 is prime.
2(6)-1 is 11.
6 is not prime.
Answer:
If m=2 (which is a prime number), then 4-1=3, 3 is a prime number.
Step-by-step explanation:
Find the missing length of the triangle.
Answer:
89
Step-by-step explanation:
Hypotenuse = sqrt[ (Leg a)2 + (Leg b)2 ]
Hypotenuse = sqrt[ (39)2 + (80)2 ]
Hypotenuse = sqrt[ 1521 + 6400 ]
Hypotenuse = sqrt[ 7921 ]
Hypotenuse = 89
Answer:
45 is your answer c=45 13
3. The Smith family ate 3/8 of a quart of strawberries after dinner. The next day, Marie and her
two friends ate an equal share of the remainder of the strawberries. What fraction of the
whole quart of strawberries did each of the three girls eat?
A. 5/24
B 3/8
C 5/8
D 3/24 or 1/6
Determine a matriz x sabendo que:
(1 5) * X ( 6 8)
Answer:
es esta 1/5 y 6/8 o 15 y 68?
gimme stuff to improve on or just things to draw :)
Answer:
draw your representation of a 4 characters depicting each Hogwarts house?
Answer:
hmm you are already really good, I'm not sure if you have already but try drawing different perspectives of the head/ neck :)
Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 80,000 shares of cumulative preferred 3% stock, $20 par and 405,000 shares of $25 par common.
During its first four years of operations, the following amounts were distributed as dividends: first year, $30,000; second year, $74,000; third year, $100,000; fourth year, $100,000.
Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00".
Suppose you have two Single Factor ANOVA experiments with the same degrees of freedom, if the resulting F test statistics are: Experiment 1, F = 2.68 Experiment 2, F = 20.15 Which statement is TRUE in regards to comparing Experiment 1 and Experiment 2? A.Procedure 1 has a smaller test statistic and therefore will result in stronger evidence in favor of the alternative hypothesis. B.Procedure 2 has a larger test statistic and therefore will result in stronger evidence in favor of the alternative hypothesis. C.We should reject the null for both tests. D.Impossible to know without more information.
TRUE - Procedure 2 has a larger test statistic and therefore will result in stronger evidence in favor of the alternative hypothesis.
what is degrees of freedom?Degrees of freedom are the maximum number of logically independent, or potentially different, values in the sample of data. One is subtracted from the number of elements in the data sample to determine the degree of freedom.
There are degrees of flexibility in the third column. Degrees of freedom (df1) between treatments equals k-1. df2 = N - k is the degree of freedom for the error. The total degree of freedom is N-1; additionally, (k-1) plus (N-k) equals N-1.
Fisher's Least Significant Difference (LSD) and the Bonferroni Method stand out among the techniques. These two use the t-test as their foundation. According to Fisher's LSD, run an F-test first, then if you find evidence to reject the null hypothesis, run regular t tests on all possible pairs of means. Similar but only requiring that you choose beforehand is the Bonferroni technique.
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Write an exponential function represented by the table
X | 0 | 1 | 2 | 3 |
Y | -50 | -10 | -2 | -0.4 |
Answer:
50-10-2-4=34 RESPONS Y
Answer:
y = -50(1/5)^xStep-by-step explanation:
Exponential function:
y = ab^xAs per the table we have:
The initial value is -50 at x= 0Common ratio is 1/5Considering the above, a = -50, b = 1/5
The function is:
y = -50(1/5)^xchicken wing chicken wing
Answer:
hot dog and baloney :>
Step-by-step explanation:
yeet
Answer:
Hot dog and baloney
Chicken and macaroni
Chilling with my homies
I heard it so many times :)
1. The first quartile (1) of the ages of the 256 employees of CCNHS – Main Campus is 39 years old. What does it imply?
If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.
In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.
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If 60 is increased by 90%, what is the new amount?
Answer:
114
Step-by-step explanation:
1.14 x 10²
pls mark me as brailiest if it is correct and learn well
'Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet and a height of 14 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.To the nearest tenth, what is the percent of Container A that is full after the pumping
The nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.
To determine the percentage of Container A that is full after the water is pumped into Container B, we need to compare the volumes of the two containers.
The volume of a cylinder can be calculated using the formula: V = πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height.
For Container A:
Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft
Height (h) = 14 ft
For Container B:
Radius (r) = Diameter / 2 = 10 ft / 2 = 5 ft
Height (h) = 20 ft
Now, let's calculate the volumes of the two containers:
Volume of Container A = π * (6 ft)^2 * 14 ft ≈ 1,679.65 ft^3
Volume of Container B = π * (5 ft)^2 * 20 ft ≈ 1,570.8 ft^3
To find the percentage of Container A that is full, we need to calculate the ratio of the volume of water in Container B to the volume of Container A:
Ratio = Volume of Container B / Volume of Container A
Ratio = 1,570.8 ft^3 / 1,679.65 ft^3 ≈ 0.9347
Finally, to convert this ratio to a percentage, we multiply it by 100:
Percentage = Ratio * 100
Percentage ≈ 0.9347 * 100 ≈ 93.5%
Therefore, to the nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.
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4 (x+2) = 2x+10
help
Answer:
x=1
Step-by-step explanation:
First you would do the parentheses.
So, 4 x X= 4x
4x2=8
4x+8=2x+10
subtract 2x on both sides
2x+8=10
subtract 8 from both sides
2x=2
x=1
-7(5-3x)=-35 what is the x in the problem
Answer:
x = 0
Step-by-step explanation:
-7(5-3x)=-35
Divide by -7
-7/-7(5-3x)=-35/-7
5 -3x = 5
Subtract 5 from each side
5-3x-5 = 5-5
-3x=0
Divide by -3
x=0
Answer: x = 0
Step-by-step explanation: Start by distributing the -7 through the parenthses on the left side of the equation.
-7(5) is -35 and -7(-3x) is 21x.
So we have -35 + 21x = -35.
Next, isolate the x term by adding 35 to both sides.
When we do this, we get 21x = 0.
Now divide both sides by 21 and x = 0.
Complete the table of values for the equation 4x + 2y =64
The completed table of values for the equation 4x + 2y = 64 is provided .
To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.
Table of Values:
x y
0 32
4 28
8 24
12 20
16 16
20 12
24 8
28 4
32 0
To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)
By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)
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can someone help me with this?
please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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solve this equation
3/5x-2=2/3x-1
The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.
What is the solution to the given equation?Given the equation in the question;
3 / 5x-2 = 2 / 3x-1
To solve for x, cross multiply the equation
3 / 5x-2 = 2 / 3x-1
3( 3x - 1 ) = 2( 5x - 2 )
Apply distributive property
3( 3x - 1 ) = 2( 5x - 2 )
3×3x + 3×-1 = 2×5x + 2×-2
9x - 3 = 10x - 4
Subtract 10x from both sides
9x - 10x - 3 = 10x - 10x - 4
9x - 10x - 3 = - 4
Add 3 to both sides
9x - 10x - 3 + 3 = - 4 + 3
9x - 10x = - 4 + 3
-x = -1
Divide both sides by -1
-x/-1 = -1/-1
x = 1
Therefore, the value of x is 1.
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Mrs. Lopez has 4 red balls, 5 green balls, and 1 pink ball in a bucket. she will randomly choose 1 ball from the bucket. What is the probability Mrs Lopez will choose a red ball
A 1/4
B. 2/5
C. 3/4
D. 1/10
Answer:
C
Step-by-step explanation:
In the expansion of (2+3x)^n, the coefficients of x^3 and x^4 are in the ratio of 8:15. FIn the expansion of (2+3x)^n, the coefficients of x^3 and x^4 are in the ratio of 8:15. Find the value of n.ind the value of n.
The value of n is 8.
What is Binomial Theorem?Binomial theorem is the method of expanding an expression consisting of two terms raised to any power.
Using the expansion of Binomial theorem, we can write,
(2 + 3x)ⁿ = ⁿC₀ (2)ⁿ (3x)⁰ + ⁿC₁ (2)ⁿ⁻¹ (3x)¹ + ⁿC₂ (2)ⁿ⁻² (3x)² + ⁿC₃ (2)ⁿ⁻³ (3x)³ + ⁿC₄ (2)ⁿ⁻⁴ (3x)⁴ + .............
Coefficient of x³ is ⁿC₃ (2)ⁿ⁻³ (3)³ and the coefficient of x⁴ is ⁿC₄ (2)ⁿ⁻⁴ (3)⁴.
Ratio of these coefficients is 8 : 15.
[ⁿC₃ (2)ⁿ⁻³ (3)³] / [ⁿC₄ (2)ⁿ⁻⁴ (3)⁴] = 8 / 15
Simplifying,
(4 × 2) / [(n - 3) 3] = 8/15
8 / 3n - 9 = 8 /15
Equating, we have,
3n - 9 = 15
3n = 24
n = 8
Hence the value of n is 8.
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Find the product of:
\( \large \rm \: 9 \frac{2}{3} \times 1 \frac{1}{29} \times \frac{6}{15 } \times 7 \frac{1}{5} \)
Answer:
144/5
Step-by-step explanation:
\(\large \rm \: 9 \frac{2}{3} \times 1 \frac{1}{29} \times \frac{6}{15 } \times 7 \frac{1}{5} \\ = \frac{29}{3} \times \frac{30}{29} \times \frac{6}{15} \times \frac{36}{5} \\ = 10 \times \frac{216}{75} \\ = \frac{2160}{75} \\ = \frac{144}{5}
\)
Answer:
9⅔ × 1¹/²⁹ × 6/15 × 7⅕ = 29/3 × 30/29 × 6/15 × 36/5 =(29/3 × 30/29) × (6/15 × 36/5) = (29×30 / 3×29) × (6×36 / 15×5) = (30/3) × (72/25) = 30×72 / 3×25 = 144 /5.
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Solve for x.
5/25=9/(x+4)
Answer: x = 41
For x in the equation
5/25=9/(x+4)
5(x+4) =9(25)
5x + 20 = 225
5x = 205
x = 41
Therefore, the value of x for the equation 5/25=9/(x+4) is x = 41
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Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operate during the high school football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Seth can stock? How many regular sodas will be at each table? How many diet sodas will be at each table?
which of the equations is the correct representation of the following word problem
A student has two grades of 80 and 90. what grade must the students make on the next test to pass the class with a 90 grade average?
(80+90+n)/3=100
(80+90+90)/3=y
(80+90+z)/3z=90
+80+90+x)/3=90
Answer: (80+90+z)/3=90
Step-by-step explanation:
Answer:
(80+90+x) /3 =90
Step-by-step explanation:
Look at the table below. Plot and label points Mand N on the coordinate plane below. Then write ordered pairs for points Mand N and describe how to move from (0,0) to each point. Point y M N 2 6
Given the coordinate of the points below
\(\begin{gathered} M\Rightarrow(1,4) \\ \therefore x=1,y=4 \end{gathered}\)\(\begin{gathered} N\Rightarrow(5,2) \\ \therefore x=5,y=2 \end{gathered}\)The ordered pair for M and N are given as
\(\begin{gathered} (1,4)\rightarrow M \\ (5,2)\rightarrow N \end{gathered}\)To locate M, move from the origin (0,0) to the right 1 unit, then move upward 4 units
To locate N, move from the origin (0,0) to the right 5 units, then move upward units.
Recall that during the 2013-2014 academic year, the school board in Wichita Falls, Texas, began planning for new and renovated high school facilities. A committee of community members was formed to explore various options for a bond proposal to pay for the plan¹. The committee presented three options to the board of trustees
Plan A has the majority of votes.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given this, the school board in Wichita Falls, Texas, began planning for new and renovated high school facilities.
There is a total of 3 + 3 +1 = 7 votesthus we can say the total number of members who voted is 7.
For the majority, more than 50% of votes are required. In this case, 50% of 7 = 3.5Therefore, 4 votes are required for the majority.
Here, no plan received 4 Ist choice votes.Therefore, there is no plan that receives a majority of votes.
In the instant run-off method, the candidate with the lowest 1st choice votes is eliminated and his votes are transferred to the candidate of the next choice. This process continues till a majority winner is found. In the initial table:1st choice votes to A=3
1 choice votes to B=3 1st choice votes to C=1
So, C is to be eliminated and his 1 vote is to be transferred to A (as A is the next choice after C in column 3 of the table)
First choice vote to A = 3 + 1 = 4
First choice vote to B = 3
Since A gets the majority of votes A is the winner
Thus, Plan A has the majority of votes.
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Complete question:
Solve the problems.
The number a is less than the number b by (1)/(5) of b. By what part of a is b greater than a ?
Answer:
B is greater than A by 1/4 of A
Step-by-step explanation:
Let's use the information given in the problem to write expressions for the values of a and b:
a = b - (1/5)b = (4/5)b
b is greater than a by the difference:
b - a = b - (4/5)b = (1/5)b
To express this difference as a fraction of a, we divide by a:
(b - a)/a = ((1/5)b)/((4/5)b) = 1/4
Therefore, b is greater than a by 1/4 of a.