Answers
Answer:
5^20 • 7^40
Step-by-step explanation:
each exponent needs to multiply each 10.
Answer:
D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]
Step-by-step explanation:
Original Equation= [tex](5^2 \cdot 7^4)^{10}[/tex]
Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]
= [tex](5^2)^{10}[/tex] x [tex](7^4)^{10}[/tex]
Distribute them
= [tex]5^{20}[/tex] x [tex](7^4)^{10}[/tex]
= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]
Hope this helps!
Related Questions
Shelly biked 21 miles in 4 hours what is shellys average speed per hour?
Answers
Answer:
The average speed per hour of Shelly is 5.25 minutes.
Step-by-step explanation:
We can do proportion to solve this.
[tex] \frac{21 \: miles}{4 \: hours} = \frac{x}{1 \: hour} \\ \frac{4x}{4} = \frac{21}{4} \\ x = 5.25[/tex]
what is 0.94 (m) in (cm)
Answers
Answer:
the answer is 94cm
Step-by-step explanation:
1m=100cm
0.94m= 0.94×100
= 94cm
Hope it will help you.......Answer: Convert 0.94 Meters to Centimeter (m to cm) with our conversion calculator and conversion tables. To convert 0.94 m to cm use direct conversion formula below.
0.94 m = 94 cm.
Hope this helps....... Stay safe and have a Merry Christmas!!!!!!! :D
I just want to say that my account got deleted yesterday and i would love if i could get at least 18-25 friends by Christmas.
whats the answer? if you know it
Answers
Answer:
Step-by-step explanation:
360
part 1
Solve the following equation
3(2y + 4) = -2y + 20
(show steps)
part2
what is the value of y?
Answers
Answer:
1
Step-by-step explanation:
3(2y+4)=-2y+20 distribute
6y+12=-2y+20 isolate variable
8y+12=20 subtract number
8y=8
y=1
Hope this helps plz hit the crown :D
At a football match, 10 men bought either a pie or a cup of
coffee. A pie costs 60p and a coffee costs 50p. The total
amount spent on pies and cups of coffee was £5.80. How many
of each must have been bought? (show all your working)
Answers
Answer:
8 pies and 2 coffees
Step-by-step explanation:
10 men bought pie or a cup of coffee.
x=pie
y=coffee
x+y=10
0.6x+0.5y=5.8
0.6x+0.6y=6
0.1y=0.2
y=2
x=8
Hope this helps plz hit the crown :D
QUICK PLS ASSESSMENT ENDS IN 30 mins
The lengths of nails produced by a machine are known to be distributed normally
with mean u mm and standard deviation 0.7 mm. The lengths, in mm, of a
random sample of 5 nails are 107.29, 106.56, 105.94, 106.99, 106.47.
Calculate the 80% confidence interval for u.
Answers
Answer:
69
Step-by-step explanation:
Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = xe^−x^2/32, [−2, 8]
Answers
The question is missing parts. Here is the complete question.
Find the absolute maximum and absolute minimum values of f on the given interval.
[tex]f(x)=xe^{-\frac{x^{2}}{32} }[/tex] , [ -2,8]
Answer: Absolute maximum: f(4) = 2.42;
Absolute minimum: f(-2) = -1.76;
Step-by-step explanation: Some functions have absolute extrema: maxima and/or minima.
Absolute maximum is a point where the function has its greatest possible value.
Absolute minimum is a point where the function has its least possible value.
The method for finding absolute extrema points is
1) Derivate the function;
2) Find the values of x that makes f'(x) = 0;
3) Using the interval boundary values and the x found above, determine the function value of each of those points;
4) The highest value is maximum, while the lowest value is minimum;
For the function given, absolute maximum and minimum points are:
[tex]f(x)=xe^{-\frac{x^{2}}{32} }[/tex]
Using the product rule, first derivative will be:
[tex]f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )[/tex]
[tex]f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )[/tex] = 0
[tex]1-\frac{x^{2}}{16}=0[/tex]
[tex]\frac{x^{2}}{16}=1[/tex]
[tex]x^{2}=16[/tex]
x = ±4
x can't be -4 because it is not in the interval [-2,8].
[tex]f(-2)=-2e^{-\frac{(-2)^{2}}{32} }=-1.76[/tex]
[tex]f(4)=4e^{-\frac{4^{2}}{32} }=2.42[/tex]
[tex]f(8)=8e^{-\frac{8^{2}}{32} }=1.08[/tex]
Analysing each f(x), we noted when x = -2, f(-2) is minimum and when x = 4, f(4) is maximum.
Therefore, absolute maximum is f(4) = 2.42 and
absolute minimum is f(-2) = -1.76
The absolute maximum and absolute minimum values of f(x) are 2.426 and -1.765, respectively.
The function is given as:
[tex]\mathbf{f(x) = xe^{-\frac{x^2}{32}}}[/tex]
Start by differentiating the function
[tex]\mathbf{f'(x) = e^{-\frac{x^2}{32}} - \frac{x^2}{16}e^{-\frac{x^2}{32}}}[/tex]
Set to 0
[tex]\mathbf{ e^{-\frac{x^2}{32}} - \frac{x^2}{16}e^{-\frac{x^2}{32}} = 0}[/tex]
Rewrite as:
[tex]\mathbf{ \frac{x^2}{16}e^{-\frac{x^2}{32}} = e^{-\frac{x^2}{32}}}[/tex]
Cancel out common factors
[tex]\mathbf{ \frac{x^2}{16}=1}[/tex]
Multiply both sides by 16
[tex]\mathbf{ x^2=16}[/tex]
Take square roots of both sides
[tex]\mathbf{ x=\pm 4}[/tex]
The interval is given as: [-2,8]
This means that the value of x = -4, is out of the interval.
So, we have the following critical points:
x = (-2, 4, 8)
Calculate f(x) at the these points
[tex]\mathbf{f(-2) = -2 \times e^{-\frac{(-2)^2}{32}}}[/tex]
[tex]\mathbf{f(-2) = -2 \times e^{-\frac{4}{32}}}[/tex]
[tex]\mathbf{f(-2) = -1.765}[/tex]
[tex]\mathbf{f(4) = 4 \times e^{-\frac{(4)^2}{32}}}[/tex]
[tex]\mathbf{f(4) = 4 \times e^{-\frac{16}{32}}}[/tex]
[tex]\mathbf{f(4) = 2.426}[/tex]
[tex]\mathbf{f(8) = 8 \times e^{-\frac{(8)^2}{32}}}[/tex]
[tex]\mathbf{f(8) = 8 \times e^{-\frac{64}{32}}}[/tex]
[tex]\mathbf{f(8) = 1.083}[/tex]
By comparison, the absolute maximum and absolute minimum values of f(x) are 2.426 and -1.765, respectively.
Read more about absolute maximum and absolute minimum values at:
https://brainly.com/question/12752779
four students wrote expressions using the variable t below. If t represents a positive integer, whose expression had the greatest value?
Answers
Answer:
Devon
Step-by-step explanation:
lets use t=1 to compare
1. -5(12t+9)
if t = 1, -5(12+9) = -5(21) = negative number
2. 2(-6t-8)
if t = 1, 2(-6-8) = 2(-14) = negative number
3. -6(-2t+18)
if t = 1, -6(-2+18) = -6(16) = negative number
4. (-4(-3t-2)
if t = 1, -4(-3-2) = -4(-5) = 20 positive number
please click red heart to give thanks :)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
480
33°
*
Answers
A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the immune response of the recipients. They claim the variance in the immune response is 1.9. It is known that the immune responses follow a normal distribution. A random sample of 30 individuals were given the vaccine and their immune response recorded. It was found that they had a sample variance of 0.9. At the 5% significance level, test the hypothesis that the population variance of the immune response is equal to 1.9 against the two-sided alternative, that it is not. a. State the null and alternative hypothesis. b. Perform the hypothesis test. (You may use any of the methods we discussed that are appropriate for the problem.) c. State your decision. d. State your conclusion in full sentences.
Answers
Answer:
a
The null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]
The alternative hypothesis is [tex]H_a : \ \sigma^2 \ne 1.9[/tex]
b
[tex]X^2 = 13.74[/tex]
c
The decision rule is
Reject the null hypothesis
d
The conclusion is
There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.
Step-by-step explanation:
From the question we are are told that
The variance is [tex]\sigma ^2 = 1.9[/tex]
The sample size is n = 30
The sample variance is [tex]s^2 = 0.9[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]
The alternative hypothesis is [tex]H_a : \ \sigma^2 \ne 1.9[/tex]
Generally the test statistics is mathematically represented as
[tex]X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }[/tex]
=> [tex]X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }[/tex]
=> [tex]X^2 = 13.74[/tex]
Generally from the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 30 - 1[/tex]
=> [tex]df = 29[/tex]
Generally from the chi distribution table the critical value of [tex]\frac{\alpha}{2} \ and \ 1 - \frac{ \alpha }{2}[/tex] at a degree of freedom of [tex]df = 29[/tex] is
[tex]X^2 _{ \frac{\alpha }{2} , df } = X^2 _{ \frac{0.05 }{2} , 29 } = 45.7[/tex]
=> [tex]X^2 _{ 1 - \frac{\alpha }{2} , df } = X^2 _{1 - \frac{0.05 }{2} , 29 } = 16.0 5[/tex]
Gnerally from the values obtained we see that
[tex]X^2 < X^2 _{ 1 - \frac{\alpha }{2} , df }[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.
Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?
Answers
Answer:
no
Step-by-step explanation:
here, f (x)=x^3 - 4x^2 + 3x + 7
when, factor is (x + 5)
x - a =x + 5
a = -5
Reminder= f (a)
= (-5)^3 - 4 (-5)^2 + 3×(-5) + 7
= -233
Since Reminder = -233 which is not 0 .
(x + 5) is not a factor of f (x)=x3-4x2+3x+7
Find the value of x
Answers
Answer:
x=39 degrees
Step-by-step explanation:
x + 31 equals 2x - 8 because both pair of expressions must add up to 180
The diagram shows two Parallel lines cut by a transversal. PLEASE HELP!
Answers
Answer:
you are right it is option a
Step-by-step explanation:
cause
sam was charged $1050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it back?
Answers
Answer:
$918.75
Step-by-step explanation:
2.5 ÷ 100 = 0.025 × 1050 = 26.25
26.25 × 5 = 131.25
1050 - 131.25 = 918.75
What is the slope of the following equation? y =- 1/2×+1
Answers
Answer:
-1/2
Step-by-step explanation:
Answer: -1/2
Reason: In the equation of y = mx + b. The m is the slope, and the b is the y intercept, so that is how I figured out the Slope of the equation. I hope this helps, and Happy Holidays! :)
Fun fact
I need help :(
Answers
Answer:
9
5
Step-by-step explanation:
Wyatt's class:
Each group of 3 students eats 1 1/2 pizzas.
There are 18 students.
18/3 = 6
There are 6 groups of 3 students.
Since each group of 3 students eats 1 1/2 pizzas, 6 groups eat
6 * 1 1/2 = 6 * 3/2 = 18/2 = 9
Answer: 9 pizzas
Jennifer's class:
There are 15 students. Each student eats 1/3 of a pizza.
15 * 1/3 = 15/3 = 5
Answer: 5 pizzas
Answer:
9
5
Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x
Answers
2) x=5
....................
Answer:
1( ×=2
2( x=5
ekekjejew
ms.watson earns more than $24 per hour. The inequalit x>24 represent the situation.which statement best represent the solution of the inequality
Answers
Answer:
All rational numbers greater than 24
Step-by-step explanation:
Ratio Relationships 5:9.
Answers
Answer:
What is the question?
Step-by-step explanation:
if angle 1 and angle 2 are vertical, and angle 2 and angle 3 are complentary, angle 3= 56^, what is angle 1
Answers
The lay in Burlington collected $3 930 in overdue fees last year. This year, the library
collectieted 3144 What is the percent of decrease in the amount collected?
Answers
Answer:
We conclude that the percent of decrease = 20%
Step-by-step explanation:
Given
Original amount = $3930Amount of decrease = $3930 - $3144 = $786Using the formula
Percent of decrease = ( amount of decrease / orignal amount × 100 ) %
= ( 786 / 3930 × 100 ) %
= ( 0.2 × 100 ) %
= 20%
Therefore, we conclude that the percent of decrease = 20%
Find the exact value of each trigonometric function tan -630
Answers
Answer:
1tan is 10sin
OK OK OK.
follow please
Which product is positive?
Answers
Answer:
The 3rd one
Step-by-step explanation:
Can have brainliest
Answer:
The 3rd one
Step-by-step explanation:
hope it helps
also can i have brainlist
1.Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20. What are the least numbers of packs you should buy in order to have the same number of plates, utensils, and cups?
Answers
Answer:
Least no of packs = 120
Step-by-step explanation:
Given that,
Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20.
We need to find least numbers of packs you should buy in order to have the same number of plates, utensils, and cups.
It means we need to find the LCM of 8,12,20
Prime factorisation of 8 = 2×2×2
Prime factorisation of 12 = 2×3×2
Prime factorisation of 20=2×5×2
LCM = 120
Hence, there are 120 least number of packs you should buy in order to have the same number of plates, utensils, and cups
What is the common difference for this arithmetic sequence?
-6, -1,4,9, 14, ...
A. 5
B. 3
C. 6
D. 4
Answers
Answer:
A. 5
Step-by-step explanation:
-6 + 5 = -1
-1 + 5 = 4
4 + 5 = 9
9 + 5 = 14
Plsss Help me but QUICK ASAP
Answers
Answer:
Step-by-step explanation:
THe second one
8. Find the GCF of *
40x3 and 50x2
Answers
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
help meeeeee please
Answers
Need help ASAP!!!
Please helppp
Answers
Tom got on a scale while on a vacation in France and noticed he weighed 75 kg. He read in a guidebook that 1 lb. = 0.45 kg. How much does Tom weigh in pounds
Answers
Answer:
166.67 pounds
Step-by-step explanation:
Set up a proportion where x is Tom's weight in pounds:
[tex]\frac{75}{x}[/tex] = [tex]\frac{0.45}{1}[/tex]
Cross multiply and solve for x:
75 = 0.45x
166.67 = x
So, Tom weighs approximately 166.67 pounds
