Answer:
Step-by-step explanation:
multiplication of two rational numbers produce a rational number.
Help please!!!!! I’m using Plato
Answer:
[tex]\frac{y^{6} }{ x^{2} }[/tex]
Step-by-step explanation:
[tex]y^{6} x^{-2}[/tex]
Answer and Step-by-step explanation:
When there is a set of values within parenthesis, and an exponents on the values and on the parenthesis, you multiply the outer exponent with the inner exponent.
When a value has a negative exponent, the value that has the negative exponent will become a fraction and go to the denominator of the fraction (or go immediately to the denominator), or if it is already a fraction, goes to the denominator. If the value that has the negative exponent is in the denominator, the value will go to the numerator. In both instances, the negative exponent will then change to positive.
First, we need to simplify the expression inside the parenthesis.
[tex]y^{\frac{3}{2} } x^{-\frac{1}{2} } --> \frac{y^{\frac{3}{2} } }{x^{\frac{1}{2}} }[/tex]
Now we multiply the 4 to the exponents.
[tex]\frac{y^{\frac{3}{2} *\frac{x4}{1} } }{x^{\frac{1}{2}}*\frac{4}{1} } = \frac{y^{\frac{12}{2}} }{x^{\frac{4}{2}}} = \frac{y^6}{x^2}[/tex]
[tex]\frac{y^6}{x^2}[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
find the measures of m and n.
Answer:
m = 4
n = 5
Step-by-step explanation:
[tex]m + 8 = 3m\\\\m - 3m = - 8\\\\-2m = - 8\\\\m = 4[/tex]
[tex]2n - 1 = 9 \\\\2n = 9 + 1\\\\2n = 10\\\\n = 5[/tex]
Kobe is a basketball player. He is able to make a free throw 70% of the time. What is the probability that Kobe makes his 10th free throw on his 14th shot
Answer:
0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either he makes it, or he misses. The probability of making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
He is able to make a free throw 70% of the time.
This means that [tex]p = 0.7[/tex]
What is the probability that Kobe makes his 10th free throw on his 14th shot?
9 of his first 13(P(X = 9) when n = 13), and then the 10th with 0.7 probability.
Thus
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{13,9}.(0.7)^{9}.(0.3)^{3} = 0.2337[/tex]
0.7*0.2337 = 0.1636
0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot
What is 233,193 rounded to the nearest thousand
The function in the table is exponential:
True
False
Answer:
true ...
believe it or not there is an exponential sequence that can make that
result
f(x) = [tex]2^{(2(x+2) -1)}[/tex]
x /// 2(x+2) -1
-1 /// 1
0 /// 3
1 /// 5
2 /// 7
[tex]2^{1} = 2\\2^{3} = 8\\\\2^{5} = 32\\\\2^{7 = 128\\\\[/tex]
Step-by-step explanation:
find the slope of a line perpendicular to the line below. y=2x+4
The endpoints of a line are (10, 4) and (-2, 8). Find the slope of
the line.
The degree of polynomial 8x^2y^2-5x^2y^2-x^3y is
Answer:
The degree is the highest number exponent....
that is hard to see in your question...
it does appear to be a 2?
Step-by-step explanation:
change the following basis to Base 10 134 in base seven
Answer:
74 base 10.
Step-by-step explanation:
134 base 7 = 7^2 + 3*7 + 4
= 49 + 21 + 4
= 74 base 10
Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper and pencil. You decide to use a third-degree Taylor polynomial expanded around x =0. Use the fact that e^0.4 < e < 3 and the Error Bound for Taylor Polynomials to find an upper bound for the error in your approximation.
|error| <= _________
Answer:
0.0032
Step-by-step explanation:
We need to compute [tex]e^{0.4}[/tex] by the help of third-degree Taylor polynomial that is expanded around at x = 0.
Given :
[tex]e^{0.4}[/tex] < e < 3
Therefore, the Taylor's Error Bound formula is given by :
[tex]$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$[/tex] , where [tex]$M=|F^{N+1}(x)|$[/tex]
[tex]$\leq \frac{3}{(3+1)!} |-0.4|^4$[/tex]
[tex]$\leq \frac{3}{24} \times (0.4)^4$[/tex]
[tex]$\leq 0.0032$[/tex]
Therefore, |Error| ≤ 0.0032
write expanded notion of 752 863?
Answer:
7 hundred thousands, 5 ten thousands, 2 thousands, 8 hundreds, 6 tens, 3 ones
Step-by-step explanation:
to write a number in expanded notation all you need to do is write out the number in words.
Which function has least rate of change?
O y = 4x + 5
O 3x - y = 9
O x + y = 8
0 4x + 2y = 8
Answer:
O 4x+2y=8.
Hope this helps you
Please help asap I needs someone to find the addition property added
A
Step-by-step explanation:
you can notice that at step 2 9 is added on both sides that is the addition property of equality
Which statement about y=x^2-14x+45 is true
What was the original price of the car? Show all work
Answer:
I got u, it is litearly 16540/83.8 = $19737.5
Step-by-step explanation:
its very simple sincen 100-16.2=83.8
Jimmy thought he had purchased 7 folders, but purchased 6. What was his percent error?
Answer:
Step-by-step explanation:
Percent Error = | Actual Yield-Theoretical/ Theoretical Yield | *100%
Error= |-1/7|*100%= 14.29%
Help please I don’t get may I please have help with this
Answer:
[tex]1)\:2\frac{2}{3} ft[/tex]
[tex]2)\:4[/tex]
[tex]3)\:\frac{20}{3} ft^{2}[/tex]
[tex]4)\:10\frac{2}{3} ft^{2}[/tex]
------------------------
hope it helps...
have a great day!!
Robert paid $4.5 for 3 apples. Find the cost per apple.
Answer:
$1.50
Step-by-step explanation:
so its
4.5 ÷ 3
which
1.5
what is 3 squared ÷ 48 - 6
Answer:
[tex] {3}^{2} \div 48 - 6 \\ 9 \div 48 - 6 \\ = - 5.8125[/tex]
find the slope of the tangent line [tex]m_{tan}[/tex] = f'(a) and then find the equation of the tangent line to f at x = a
f(x) = [tex]\frac{10}{x}[/tex] ; a = 3
9514 1404 393
Answer:
10x +9y = 60
Step-by-step explanation:
The equation for the tangent line at a point is ...
y -f(a) = f'(a)(x -a)
For the given function,
f(x) = 10/x
The derivative is ...
f'(x) = -10/x^2
Then the equation of the tangent line is ...
y -10/3 = -10/9(x -3) . . . . equation of the tangent line (point-slope form)
Clearing fractions, we have ...
9y -30 = -10(x -3) = -10x +30
10x +9y = 60 . . . . . equation in standard form
Private nonprofit four-year colleges charge, on average, $26,208 per year in tuition and fees. The standard deviation is $7,040. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(
26208
Correct,
7040
Correct)
b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 22,924 per year.
c. Find the 60th percentile for this distribution. $
(Round to the nearest dollar.)
Answer:
#########
Step-by-step explanation:
Find the interquartile range of the data set represented by this box plot.
25
20
45
35
Answer:
25
Step-by-step explanation:
im pretty sure i think only ok i think no saying bad things in the comment
Write the geometric sequence in function notation.
4,2,1,1/2,1/4,...
A) AX) = (2) - (1/4)x - 1
OB) Ax) = (2) - (1/2)x - 1
C) Ax) = (4) · (/4)x - 1
D AX) = (4) · (1/2)x - 1
Answer:
D
Step-by-step explanation:
Match the graph with the correct equation.
A. Y-1 = -1/4(x+5)
B. Y+1= -1/4(x+5)
C. Y-1= -4(x+5)
D. Y-1 =-1/4 (x-5)
Answer:
y - 1 = -1/4(x+5)
Step-by-step explanation:
Select the correct answer.
Tom gets $12 off a box of chocolates that had an original price of $48. What percentage is the discount
Answer:
25
Step-by-step explanation:
divide 48 by 4 which is 25%
Jill has 32 crayons. She loses 4 of the crayons. How many are left?
Answer:
the answer here is d
the answer is d
Answer:
28
Step-by-step explanation:
Total number of crayons = 32
Number of crayons lost = 4
Therefore, number of crayons she is left with is : 32 - 4 = 28
Working :
[tex]32\\04 - \\\overline{28}[/tex]
What is the expression (x+1)(x2+3x+2) as a polynomial in standard form?
Step-by-step explanation:
hope u like it.......
Is this a function? Yes or no?
Answer:
NO
Step-by-step explanation:
NO
For the same set of observations on a specified dependent variable, two different independent variables were used to develop two separate simple linear regression models. A portion of the results is presented below.
Based on the results given above, we can conclude that:_______.
A. A prediction based on Model 1 is better than a prediction based on Model 2.
B. A prediction based on Model 2 is better than a prediction based on Model 1.
C. There is no difference in the predictive ability between Model 1 and Model 2.
D. There is not sufficient information to determine which of two models is superior for prediction purposes.
Answer:
A. A prediction based on Model 1 is better than a prediction based on Model 2.
Step-by-step explanation:
Given :
Model 1 :
R² = 0.92
s = 1.65
Model 2 :
R² = 0.85
s = 1.91
The Coefficient of determination of the first model is 0.92 which is greater than the coefficient of determination of the Second model, the coefficient of determination gives the proportion of variation in the dependent variable which is caused by the regression line. Hence, we can say a prediction based on Model 1 is better than a prediction based on Model 2 because a larger proportion of the variation in the dependent variable is predictable from the independent variable.
write an equation in slope intercept form for the line with slope 1/4 and y-intercept -6.
Answer:
y=¼x-6
Step-by-step explanation:
y=mx+c
y=¼x+-6
y=¼x-6
