Answer:
[tex](d)[/tex] [tex]5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}[/tex]
Step-by-step explanation:
Given
[tex]5^{8.13}[/tex]
Required
Select an equivalent expression
[tex]5^{8.13}[/tex]
Simplify the power
[tex]5^{8.13} = 5^{8 + 0.1 + 0.03}[/tex]
Apply law of indices:
[tex]5^{8.13} = 5^{8} * 5^{0.1} * 5^{0.03}[/tex]
Express decimal as fractions
[tex]5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}[/tex]
4) If x=5, y= 2 and z = 1, what is the value of 2 + 2y + 10Z
Answer: 16
Step-by-step explanation: I did the equation, hope this helps :)
please help, the answer i have picked is just a guess btw
Answer:
I D K buy hope you find the right answer
Step-by-step explanation:
Answer:
113.04in²it is the total and correct answer
what is the r value of the following geometric sequence?
a. 1/2
b. 3
c. 1/3
d. 2
e. none of the above
Answer:
What is the geometric sequence?
Step-by-step explanation:
The lengths in cm, of the sides of a triangle are 3x - 5, 2x-1 and x+1
3x - 5
2x - 1
(a) Write down an expression, in terms of x, for the perimeter of the triangle
(2)
The perimeter of the triangle is 31 cm.
(b) Work out the value of x.
Answer:
a) p = 6x - 5
b) x = 6
Step-by-step explanation:
a) p = a + b + c
p = 3x - 5 + 2x - 1 + x + 1
p = 6x - 5
b) p = 6x - 5 =31
6x - 5 = 31
6x = 36
x = 6
I need help ASAP will mark you the brainliest
Answer:
2
Step-by-step explanation:
Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich at dinner. How much of the sandwich did jimmy eat in all.
Answer:
Step-by-step explanation:
1/3+2/3=3/3=1
So he ate the whole sandwich.
Answer:
He ate the entire sandwich.
Step-by-step explanation:
1/3 + 2/3 = 1
Mark me as brainliest pls.
Write a polynomial that represents the area of the sqaure
Answer:
4x² + 28x + 49
Step-by-step explanation:
(x + x + 7)²
(2x+7)(2x+7)
4x² + 28x + 49
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answer:
4
Step-by-step explanation:
because
8÷2=4
16÷4=4
24÷6=4
32÷8=4
The actual distance between two buildings is 125 feet.
How far apart are the buildings on a map that has a
scale of 1 : 100?
a. 1.25 in
b. 16 in.
C. 1.25 ft
d. 12,500 ft
Round 694,553 to the nearest hundred thousand.
Answer:
pretty sure its 700,000
3
4
5
Lily has 8 dog toys that are red. One third of all her dog toys are red.
How many dog toys does Lily have?
Complete the explanation.
First, draw
circles to show
equal parts.
Next, draw
toys in
circle since
circle represents the number of red toys.
Last, draw
toys in each of the remaining circles. Find the total number of toys.
So, Lily has
dog toys.
Answer:
She has 24 dog toys
Step-by-step explanation:
8x3=24
What is 1 + 1 im stuck on it and i cant figure it out.
its 2...
20 leterssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
4g + 12 < 60 solve and graph
Answer:
g<12
Step-by-step explanation:
4g+12<60
Subtract 12 from both sides.
4g<60−12
Subtract 12 from 60 to get 48.
4g<48
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
g<48/4
Divide 48 by 4 to get 12.
g<12
Write and solve an equation to find the value of x and the missing angle measures.
1.
2.
6x
(4 + 5x)
30°
(x + 2)
3.
Answer:
Step-by-step explanation:
1). Since, both the angles are vertically opposite angles,
Measure of both the angles will be same.
6x = 30
x = 5
2). Since, both the angles are the linear pair of angles,
(4 + 5x)° + (x + 2)° = 180°
6x + 6 = 180
6x = 180 - 6
x = [tex]\frac{174}{6}[/tex]
x = 29
Therefore, (4 + 5x)° = 4 + 5(29)
= 149°
And (x + 2)° = (29 + 2)
= 31°
3). Since, both the angles are linear pair of angles,
5x° + (3x + 12)° = 180°
8x + 12 = 180
8x = 180 - 12
x = [tex]\frac{168}{8}[/tex]
x = 21
Therefore, 5x° = 5(21)
= 105°
(3x + 12)° = 3(21) + 12
= 75°
The proportion of twins born in a town is p = 0.12. Suppose we randomly select 100 women from this town who give birth in the next year.
Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat ?
Sigma Subscript p hat Baseline = 0.001 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.001 from the true proportion, p = 0.12.
Sigma Subscript p hat Baseline = 0.032 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, p = 0.12.
Sigma Subscript p hat Baseline = 0.035 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.035 from the true proportion, p = 0.12.
Sigma Subscript p hat Baseline = 0.106 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.106 from the true proportion, p = 0.12.
Answer:
B. Sigma Subscript p hat Baseline = 0.032 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, p = 0.12.
Step-by-step explanation:
took the quiz
The correct calculation and interpretation of the standard deviation of the sampling distribution of p hat is the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, 0.12.
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
The standard deviation of the sampling distribution of p hat is given as,
[tex]\sigma_{ \hat p}=\sqrt\dfrac{p(1-p)}{n}[/tex]
Here, p is the proportion and n is the number of sample.
The proportion of twins born in a town is p = 0.12. Now there is randomly select 100 women from this town who give birth in the next year.
[tex]\sigma_{ \hat p}=\sqrt{\dfrac{0.12(1-0.12)}{100}}\\\sigma_{ \hat p}=\sqrt{0.001056}\\\sigma_{ \hat p}=0.032[/tex]
Thus, the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat is the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, 0.12.
Learn more about the random sample here;
https://brainly.com/question/17831271
#SPJ2
Find the x coordinate of the vertex of the parabola sketched in the figure below ?
PLEASE HELP!
Answer:
Step-by-step explanation:
x-coordinate of vertex is 4
The voting method in which each voter votes for one candidate and the candidate receiving the most votes is declared the winner is called the ___ method
plz help, Randy is fencing off a semi-circular region in his backyard against a wall. The semi-circular region has a diameter of 24 feet. The fencing will go along the arc only. How much fencing does Randy need?
Answer:
[tex]Fence = 41.408ft[/tex]
Step-by-step explanation:
Given
[tex]d = 24ft[/tex]
Required
Determine the length of the wall
First, we calculate the circumference (C) of the semi-circle
[tex]C =\pi d[/tex]
[tex]C = 3.142 * 24[/tex]
[tex]C = 75.408[/tex]
The length of the fence is calculated by subtracting the diameter from the circumference:
[tex]Fence = C - d[/tex]
[tex]Fence = 75.408ft - 24ft[/tex]
[tex]Fence = 41.408ft[/tex]
Brian bought a computer
marked down from $380 to
$133. What is the discount,
as a percentage?
A:70%
B:60%
C:65%
D:75%
Answer:
Step-by-step explanation:
100(133-380)/380=-65%
So the discount was 65%
Marcus observed that 8 of the 20 games that he had bowled last week were over 180. What percent of his games were over 180?
Answer:
40%
Step-by-step explanation:
Ok so my brain is sorta not working but it said "hey! 20 divided by 2 is 10!"
So I was like ight and divided 80 by 2 to to get 40%.
Hope this helps.
what is the length of de
A. 2
B. 3
C. 4
D. 5
Answer:
DE=5
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The girls' volleyball has 10 seventh grade students and 7 sixth grade students. What is the ratio of sixth grade students to seventh grade students on the team?
10 : 17
7 : 17
10 : 7
7 : 10
Janice babysat 3 hours each night for 8 nights. She earned a total of $192 babysitting. What was her hourly rate?
A) $3 per hour
B) $8 per hour
C) $24 per hour
D) $192 per hour
Answer:
1) 7:10
2) $8 per hour
Step-by-step explanation:
Question 1
What we know:
- there are 10 seventh grade students
- there are 7 sixth grade students
Therefore, the ratio of sixth-grade students to seventh-grade students is 7:10.
Question 2
What we know:
- Janice babysat 3 hours each night
- Janice babysat for 8 nights
- she earned $192
First, we need to find the total number of hours that she babysat. Because she babysat for 3 hours each night for 8 nights, we can find this by multiplying 3 and 8:
3×8=24
Therefore, Janice babysat for 24 hours in total.
Because she earned a total of $192, divide 192 by 24 to find her hourly rate:
192÷24=8
Therefore, Janice has an hourly rate of $8 per hour.
I hope this helps!
Find the area of a rectangular field , if the length of the field is 80m and breadth is 45m
Answer:
3600m^2
Step-by-step explanation:
Area = length x width
Area = 80m x 45m
Area = 3600m^2
Answer:
3600m^2
Step-by-step explanation:
Area= length x width
A=80m x 45m
Area = 3600m^2
hope this helps ^^ (i wasn't sure what you meant by breadth tho)
Goran needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
The table shows the lengths of some wooden boards Matthew finds in his garage.
The table is titled Board Lengths. The table has two columns and four rows. The first column is labeled Board. The second column is labeled Length. Board A, three and one half feet. Board B, forty-one inches. Board C, four feet. Board D, one and twenty-five hundredths yards.
Which board is the shortest?
A
B
C
D help ASAP right now!!!
Answer:
b is the answer of this question
can you please help me!!!! thank you
Answer:
V = J = 92
Step-by-step explanation:
The angles are the same on both shapes.
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy
Answer:
1
Step-by-step explanation:
25 - 18.75 = 6.25
6.25 - 4.75 = 1.50
he won't have any more money left
Answer:
1
Step-by-step explanation: So first you
The speed of a boat is 36 kilometers per hour. How fast is the car going in miles
per second?
Answer:
0.0062137124 miles per second
Step-by-step explanation:
write an expression that represents the area of only the red shaded region in terms of x
Answer:
(9 × 3x+7) - (5 × x+2)
Step-by-step explanation:
Red area
9 × 3x + 7
white area
5 × x+2
For each recursively-defined sequence below, write the first few term. Then use the terms to write an explicit equation.
a. a_1 = 15
a_n+1 = a_n - 3
b. t(n+1) = 1/3*t(n)
t(1)= 108
Answer:
Step-by-step explanation:
a_1 = 15
a_2 = a_1 - 3
a_2 = 15 - 3
a_2 = 12
a_3 = a_2 - 3
a_3 = 12 - 3
a_3 = 9
a_4 = a_3 - 3
a_4 = 9 - 3
a_4 = 6
a_5 = 3
a_6 = 0 I'm leaving these last two to expand
a_n = a1 - (n - 1)*d
a_n = 15 - (n - 1)*3
a_n = 15 - 3n + 3
a_n = 18 - 3n
Example
a_6 = 18 - 3*6
a_6 = 0
Problem B
t(1) = 108
t(1 + 1) = 1/3 * 108
t(2) = 36
t(3) = 1/3 * t2
t(3) = 1/3 * 36
t(3) = 12
t(4) =1/3 (t(3))
t(4) = 1/3 * 12
t(4) = 4
t(5) = t4 / 3
t(5) = 4 / 3
t(5) = 1.3333333
So the explicit definition is
t(n) = 108 (1/3)^(n - 1) You could simplify this a little bit by realizing that 108 is made of three 3s.
t(n) = 4 * 3^3 * (1/3)^(n - 1)
t(n) = 4 * (1/3) ^ (n - 4)
Example
t(5) = 108 (1/3)^4
t(5) = 108(1/81)
t(5) = 1.3333333
And using the simplified formula, you get.
t(5) = 4 * (1/3)^1
t(5) = 1.333333 which is the same thing as the original result.
Answer:
see explanation
Step-by-step explanation:
(a)
Using the recursive rule and a₁ = 15 , then
a₂ = a₁ - 3 = 15 - 3 = 12
a₃ = a₂ - 3 = 12 - 3 = 9
a₄ = a₃ - 3 = 9 - 3 = 6
The sequence is 15, 12, 9, 6, ....
This is an arithmetic sequence with n th term ( explicit rule )
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = - 3 , then
[tex]a_{n}[/tex] = 15 - 3(n - 1) = 15 - 3n + 3 = 18 - 3n
----------------------------------------------------------------------
(b)
Using the recursive rule and t₁ = 108 , then
t₂ = [tex]\frac{1}{3}[/tex] t₁ = [tex]\frac{1}{3}[/tex] × 108 = 36
t₃ = [tex]\frac{1}{3}[/tex] t₂ = [tex]\frac{1}{3}[/tex] × 36 = 12
t₄ = [tex]\frac{1}{3}[/tex] t₃ = [tex]\frac{1}{3}[/tex] × 12 = 4
The sequence is 108, 36, 12, 4, ......
This is a geometric sequence with n th term
[tex]t_{n}[/tex] = t₁[tex](r)^{n-1}[/tex]
where t₁ is the first term and r the common ratio
Here t₁ = 108 and r = [tex]\frac{1}{3}[/tex] , then
[tex]t_{n}[/tex] = 108 [tex](\frac{1}{3}) ^{n-1}[/tex]