\(12^6\), ? = 6
Step-by-step explanation:We are given instructions by the problem. When dividing exponential expressions with the same base, we can find the difference (subtraction) between the exponents and keep the base.
\(\displaystyle 12^9 \div 12^3=12^{9-3}=12^6\)
But why does this work?Let us write it out.
\(\displaystyle 12^9 \div 12^3 = \frac{12^9}{12^3} =\frac{12*12*12*12*12*12*12*12*12}{12*12*12}\)
Now, 12 divided by 12 (aka \(\frac{12}{12}\)) is equal to 1.
\(\displaystyle 1*1*1*12*12*12*12*12*12}\)
And anything times one is itself. Then, we can rewrite this as 12 to the power of 6 because we are multiplying 12 by itself 6 times.
\(\displaystyle 12*12*12*12*12*12} =12^6\)
I am the Real Da Baby
LESS GOOO!
Answer:
yuuhhhhh
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
I am da real baby :) lol
If a quadratic has x-intercepts at (-1,0) and (6,0), what would be the factored form of the equation?
Answer:
(x+1)(x-6)
Step-by-step explanation:
Can someone help with this please.
\(log\frac{8}{3}\)
ANS
\( log \frac{(8)}{3} \)
\( = 0.30102999566\)
Thank You !!!!
what is the absolute value of -6
Answer:
6
Step-by-step explanation:
What is the volume of a sphere with a radius of 41 in, rounded to the nearest tenth of a cubic inch?
Step-by-step explanation:
Volume of a sphere is given by
\(V = \frac{4}{3} \pi {r}^{3} \)
Where r is the radius of the sphere
From the question
radius = 41 in
Substitute the value into the above formula
We have
\(V = \frac{4}{3} \times {41}^{3} \pi\)
\( = \frac{275684}{3} \pi\)
= 288695.6097
We have the final answer as
Volume = 288695.6 in³ to the nearest tenthHope this helps you
The answer on deltamath is
288695.6 in³
find the slope between the given two points
Slope can be found using the following equation:
slope (m) = \(\frac{y_2 - y_1}{x_2 - x_1}\)
7) Let:
\((x_1 , y_1) = (-1 , -11)\\(x_2 , y_2) = (-6 , -7)\)
Plug in the corresponding numbers to the corresponding variables:
m = \(\frac{-7 - (-11)}{-6 - (-1)} = \frac{-7 + 11}{-6 + 1} = \frac{4}{-5} = -\frac{4}{5}\)
Slope: \(-\frac{4}{5}\)
8) Let:
\((x_1 , y_1) = (-7 , -13)\\(x_2 , y_2) = (1 , -5)\)
Plug in the corresponding numbers to the corresponding variables:
m = \(\frac{-5 - (-13)}{1 - (-7)} = \frac{-5 + 13}{1 + 7} = \frac{8}{8} = 1\)
Slope: \(1\)
9) Let:
\((x_1 , y_1) = (-5 , 3)\\(x_2 , y_2) = (8 , 3)\)
Plug in the corresponding numbers to the corresponding variables:
m = \(\frac{3 - (3)}{8 - (-5)} = \frac{0}{8 + 5} = \frac{0}{13} = 0\)
Slope: \(0\)
10) Let:
\((x_1 , y_1) = (3 , -2)\\(x_2 , y_2) = (15 , 7)\)
Plug in the corresponding numbers to the corresponding variables:
m = \(\frac{7 - (-2)}{15 - 3} = \frac{7 + 2}{15 - 3} = \frac{9}{12}\)
Simplify the slope. Divide common factors from both the numerator and denominator:
\((\frac{9}{12})/(\frac{3}{3} ) = \frac{3}{4}\)
Slope: \(\frac{3}{4}\)
11) Let:
\((x_1 , y_1) = (-5 , -10)\\(x_2 , y_2) = (-5 , -1)\)
Plug in the corresponding numbers to the corresponding variables:
m = \(\frac{-1 - (-10)}{-5 - (-5)} = \frac{-1 + 10}{-5 + 5} = \frac{9}{0} =\) undefined.
Slope: undefined
12) Let:
\((x_1 , y_1) = (-4 , -2)\\(x_2 , y_2) = (-12, 16)\)
Plug in the corresponding numbers to the corresponding variables:
m = \(\frac{16 - (-2)}{-12 - (-4)} = \frac{16 + 2}{-12 + 4} = \frac{18}{-8} = -\frac{18}{8} = ((-\frac{18}{8})/( \frac{2}{2}) = -\frac{9}{4}\)
Slope: \(-\frac{9}{4}\)
~
(6)
4 yd
2 yd
Perimeter:
Area:
Step-by-step explanation:
The area = 4 × 2 = 8
The perimeter = 2(4 + 2) = 12
please give me a brainliest answer
In a survey of 400 likely voters, 215 responded that they would vote for the incumbent and 185 responded they would vote for the challenger. Let p denote the fraction of all likely voters who preferred the incumbent at the time of the survey, and let p^ be the fraction of survey respondents who preferred the incumbent. a. Use the survey results to estimate p. b. Use the estimator of the variance, np^(1−p^), to calculate the standard error of your estimator. c. What is the p-value for the test of H0:p=.5 vs. H1:p=.5 d. What is the p-value for the test of H0:p=.5vs.H1:p>.5 e. Did the survey contain statistically significant evidence that the incumbent was ahead of the challenger at the time of the survey? Explain.
a. To estimate the fraction of all likely voters who preferred the incumbent (p), we can use the fraction of survey respondents who preferred the incumbent (p^). In this case, 215 out of 400 respondents preferred the incumbent. So, the estimate for p would be 215/400 = 0.5375, or 53.75%.
b. The estimator of the variance is np^(1−p^), where n is the sample size (400) and p^ is the fraction of survey respondents who preferred the incumbent (0.5375). Plugging these values into the formula, we get the variance estimate as 400 * 0.5375 * (1 - 0.5375) = 86.4.
To calculate the standard error of the estimator, we take the square root of the variance estimate. So, the standard error would be √86.4 ≈ 9.29.
c. The p-value for the test of H0:p=0.5 vs. H1:p≠0.5 can be calculated by conducting a two-tailed test. We compare the estimated p value (0.5375) to the assumed value (0.5) and use the standard error (9.29) to calculate the test statistic. Based on the test statistic, we can determine the p-value. Without the specific values for the test statistic, we cannot calculate the exact p-value.
d. The p-value for the test of H0:p=0.5 vs. H1:p>0.5 can be calculated by conducting a one-tailed test. We compare the estimated p value (0.5375) to the assumed value (0.5) and use the standard error (9.29) to calculate the test statistic. Based on the test statistic, we can determine the p-value. Without the specific values for the test statistic, we cannot calculate the exact p-value.
e. To determine if the survey contains statistically significant evidence that the incumbent was ahead of the challenger at the time of the survey, we need to compare the p-value obtained from the test to a significance level (such as 0.05). If the p-value is less than the significance level, we can conclude that there is statistically significant evidence that the incumbent was ahead of the challenger.
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you have 4 math books, 5 history books, and 2 science books. how many ways are there to arrange the books on a book shelf?
There are 5,760 ways to arrange the books on the bookshelf.
A permutation is an ordered arrangement of objects, and it can be calculated as follows:
ⁿPₓ = n! / (n - x)!
where n is the total number of objects and r is the number of objects that we are arranging.
To determine the total number of ways in which we can arrange the books on a bookshelf, we need to first calculate the total number of possible arrangements. We can do this by using the fundamental principle of counting, which tells us that the total number of possible arrangements is equal to the product of the number of ways in which each book can be arranged.
Therefore, the total number of possible arrangements can be calculated as follows:
Total number of possible arrangements = Number of ways to arrange math books × Number of ways to arrange history books × Number of ways to arrange science books
In our case, we have 4 math books, 5 history books, and 2 science books, so we can calculate the number of permutations for each type of book as follows:
Number of ways to arrange math books = ⁴P₄ = 4! / (4-4)! = 4! / 0! = 24
Number of ways to arrange history books = ⁵P₅ = 5! / (5-5)! = 5! / 0! = 120
Number of ways to arrange science books = ²P₂ = 2! / (2-2)! = 2! / 0! = 2
Now, we can substitute these values in the formula for the total number of possible arrangements:
Total number of possible arrangements = 24 × 120 × 2 = 5,760
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WILL GIVE BRAINLIEST. To who ever believes this.
SLOPE IN MATH IS MEANT TO TORTURE OUR MINDS.
A monster truck wheel has an area of 324 square inches. A toy company wants to create a scaled copy of the monster truck with a wheel area of 9 square inches.
What scale factor should the company use? Your answer should be exact, not rounded.
The toy company should use \(\frac{1}{36}\) as the scale factor. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
The four fundamental operations, often referred to as "arithmetic operations", are thought to be capable of fully explaining all real numbers. The mathematical operations quotient, product, sum, and difference come after division, multiplication, addition, and subtraction.
We are given that a monster truck wheel has an area of 324 square inches and a toy company wants to create a scaled copy of the monster truck with a wheel area of 9 square inches.
So, by using the division operation, we get
324 ÷ 9 = 36
This means that the monster truck wheel is 36 times bigger that what the toy company wants to create.
Hence, the toy company should use \(\frac{1}{36}\) as the scale factor.
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Im going to middel school and i want to pick the best sport (for girls)
Answer:
Basketball all the way!
Step-by-step explanation:
You should pick volleyball, its quite fun
A bag of popcorn is placed in a microwave. After the first kernel pops, the number of kernels popped doubles every 30 seconds. If it takes exactly two minutes for every kernel in the bag to have popped, what would the time be on the microwave when 25% of the kernels have popped?
Let there be N number of kernels in the bag.
Given that the number o
Vincent bought a movie ticket with a promo of free pizza, popcorn and a drink. How many possible meals can vincent choose from given that there is 8 flavors of pizza, 4 flavors of popcorn and 3 kinds of drinks?
A. 15
B. 56
C. 72
D. 96
Answer:
D. 96
Step-by-step explanation:
Using the Multiplication Principle, we multiply the number of choices for each item together:
\(8 \cdot 4 \cdot 3 = 96\)
I need help please :(
Answer:
\( 5^{-3} = \dfrac{1}{125} \)
Step-by-step explanation:
Rule of negative exponents:
\( a^{-n} = \dfrac{1}{a^n} \)
This problem:
\( 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} \)
Answer:
\(\boxed{\frac{1}{125}}\)
Step-by-step explanation:
\(5^{-3}\)
Apply rule:
\(\displaystyle a^{-b}=\frac{1}{a^b}\)
\(\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}\)
PLease help me with math problem
On solving the provided question, we can say that the function that can be made is f(x) = $81.90/x
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
As the manager of a coffee house, Paul created this table to help his
cashiers determine the total cost of multiple cups of coffee.
the function that can be made is
f(x) = $81.90/x
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1/5 de los animales en el zoológico son monos 5/7 de los monos son machos
¿Qué fracción de los animales en el zoológico son monos machos?
1/7 of the animals in the zoo are male monkeys.
What fraction of the animals in the zoo are male monkeys? Explain with workings.
To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.
Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:
= 1/5
= 5/25.
And 5/7 of the monkeys are male which is written as 5/7.
To get fraction of male monkeys, we will multiply these two fractions:
= (5/25) * (5/7)
= 25/175
= 1/7.
Full question:
1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?
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What is the measure of ZSPQ in the figure below?
10
P
S
28°
10
R
Q
A. 14°
B. 62°
OC. 56°
D. 28°
E. 15°
F. Cannot be determined
The measure of angle SPQ is 56°
What is trigonometric ratio?the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Sin(θ) = opp/hyp
cosθ = adj/hyp
tanθ = opp/adj
To calculate the hypotenuse , we have known the adjascent to angle 28°.
Therefore;
cos 28 = 10/x
0.883 = 10/x
x = 10/0.883
x = 11.3
Represent angle SPR by y
cos x = 10/11.3
cos x = 0.883
x = 28°
Therefore the measure of angle SPQ is 28+28 = 56°
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WHAT DO I DO NEXT!!!!!!!!!!
Names
Item 1
Price
Item 2
Price
Item 3
Price
Subtotal
Tip
Total Bill
Your name
My sister
Kids meal and chicken tenders
4.99
burger
3.99
Drink
small
2.50
49.77
3
50.00
Friend #1
family
Kids meal
4.99
Cheese burger
2.99
Drink
small
1.99
29.69
10
30.00
Friend #2
me
burger
2.30
fries
2.99
Coffe
mocha
2.00
13.75
20
14.00
Friend #3
Family and family
Burger with stuff in side
4.99
Burger with stuff in side
4.99
Two drinks for two people.
9.00
18.99
20
c
Part 2: Questions
Answer the following questions, showing all work:
What is the total cost of the entire bill (all four meals), including tip?
50 + 30+ 14 + 19 = 113
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
113
If you just multiply 4.99 by 3.99 by 2.50 you would get 49.77 thats just an example.
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.
There is no answer you did everything? :/
Answer:
what ????
Step-by-step explanation:
7/2 converted to a decimal
\(\huge\text{Hey there!}\)
\(\large\text{In order to convert a fraction, to a decimal you have to DIVIDE the}\\\large\text{numerator (TOP number) from the denominator (BOTTOM number)}\)
\(\large\text{Formula: }\rm{\dfrac{a}{b}\rightarrow a \div b \rightarrow decimal\ formula}\)
\(\large\text{Solving for your answer:}\)
\(\mathsf{\dfrac{7}{2}\rightarrow7\div2\rightarrow 3.5}\)
\(\large\text{Therefore, your answer should be:}\)
\(\large\boxed{\mathsf{3.5}}\large\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
To convert this fraction to a decimal, simply divide the numerator (7) by the denominator (2):
7 ÷ 2 = 3.5. A) Yes,7/2 = 3.5Skandar
Which statement correctly compares the average number of eggs laid per day for each barn?
By taking the average number of eggs for both barns, we will see that the correct option is A.
How to get the average?
For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:
\(M = \frac{x_1 + x_2 + ... + x_n}{N}\)
For barn 1, the set is {2, 5, 5, 6}
So the mean is:
M1 = (2 + 5 + 5 + 6)/4 = 4.5
For the barn 2, the set is {3, 6, 8, 9}
So the mean is:
M2 = (3 + 6 + 8 + 9)/4 = 6.5
Now, taking the quantity 100%(M2 - M1)/M1 we get:
100%*(6.5 - 4.5)/4.5 = 44%
So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.
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Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?
Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(0) EndRoot Over 2(3) EndFraction
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(2) EndRoot Over 2(3) EndFraction
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(1) EndRoot Over 2(3) EndFraction
x = StartFraction negative 3 plus or minus StartRoot 3 squared minus 4 (negative 2)(0) EndRoot Over 2(negative 2) EndFraction
Answer:
The correct equation would be:
\(x=\frac{-3±\sqrt{3^{2}-4(-2)}}{2(-2)}\)
-Therefore, the correct option is D
Answer:
d
Step-by-step explanation:
Point M is the midpoint of VW. Find the length of VW.
Answer:
15
Step-by-step explanation:
to have it equal on both sides x =4 and then you just substitute for x and you should have 15 on each side
4x-1=3x+3
x=2
4x-1+3x+3=VW
8-1+6+3=VW
16=VW
Find the average rate of change of f(x)=x-2 √{x} on the interval [1,9] .
The average rate of change of f(x) = x - 2√x on the interval [1,9] is 1 - √2.
To find the average rate of change of a function on a given interval, we need to calculate the difference in the function's values at the endpoints of the interval and divide it by the difference in the x-values of those endpoints. In this case, the function is f(x) = x - 2√x, and the interval is [1,9].
Evaluate f(x) at the endpoints.f(1) = 1 - 2√1 = 1 - 2(1) = -1
f(9) = 9 - 2√9 = 9 - 2(3) = 9 - 6 = 3
Calculate the difference in function values.Δf = f(9) - f(1) = 3 - (-1) = 4
Calculate the difference in x-values.Δx = 9 - 1 = 8
Average Rate of Change = Δf / Δx = 4 / 8 = 1/2 = 0.5
Therefore, the average rate of change of f(x) = x - 2√x on the interval [1,9] is 0.5.
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Can someone Help meeee!!
Answer:
428.464
Step-by-step explanation:
If you divide any number by 1, the answer will come out the same as the number you are trying to divide.
I put the Question here #1
Answer:
sqrt( 74)
8.602
Step-by-step explanation:
To find the distance between the two points we use the formula
d = sqrt( ( x2-x1)^2 +(y2-y1)^2)
= sqrt( ( 3- -2)^2 + ( -2 -5)^2)
= sqrt( (3+2)^2 + ( -7)^2)
= sqrt( 5^2 (-7)^2)
= sqrt( 25+49)
= sqrt( 74)
approximately 8.602325267
To the nearest thousandth
approximately 8.602
If the Brazoria County Fair had a weekend revenue of $12,000, how many dollars did the vendor fees being in?
Help please!Thank you
Answer:
f. 85
Step-by-step explanation:
All triangles add up to 180 degrees
BCE=25
then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60
isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)
we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees
since 70 (angle DBC) + 25 (Angel BCA)= 95
we just subtrract 95 from 180 to get the answer 85 (:
Answer:
85 degrees
Step-by-step explanation:
if Δ ABD is equilateral then the 3 sides and three angles are equal
sum of angles of Δ=180
180/3=60 degrees (∠A,∠B,∠D)
ΔBCA is isosceles then the two angles A and C are equal = 25
∠B=180-50=130
∠B in Δ BEC=130-60=70
∠E+∠B+∠C in Δ BEC=180
∠E= 180-70-25=85 degrees
Find two consecutive odd integers such that seven times the first equals five times the second.
Answer:
Odd integers are always one more that an even integer:
1st: 2n+1
2nd: 2n+3
Step-by-step explanation:
14n+7 = 10n+15
4n = 8
n = 2
------------
1st: 2n+1 = 5
2nd: 2n+3 = 7
7x=5*(x+2)
7x=5x+10
7x-5x=10
2x=10
x=5
5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.
What are Integers?Integers are the numbers consisting of whole numbers and the negatives of natural numbers.
Let 2n + 1 and 2n + 3 be the two consecutive odd integers.
We have the relation seven times the first integer equals five times the second.
7 (2n + 1) = 5 (2n + 3)
By distributive property,
(7 × 2n) + (7 × 1) = (5 × 2n) + (5 × 3)
14n + 7 = 10n + 15
Taking the terms containing unknowns on one side and constants on other side,
14n - 10n = 15 - 7
4n = 8
n = 8 / 4
n = 2
So the first number = 2n + 1 = (2 × 2) + 1 = 5
and the second number = 2n + 3 = (2 × 2) + 3 = 7
Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.
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