The required answer is ⅖¹³.
Step-by-step explanation:Given terms to us is :-
[tex]=\bf \dfrac{2}{5}^8 \times \dfrac{2}{5}^{-2}\times \dfrac{5}{2}^{-7}[/tex]
We can see here that two terms have same base that is ⅖ . And the other is 5/2. So for simplifing the expression we will use some laws of exponents , which are :-
a ^m + aⁿ = a^{m + n }a -ⁿ = ( 1/a )ⁿUsing these we have ,
[tex]\bf = \dfrac{2}{5}^8 \times \dfrac{2}{5}^{-2}\times \dfrac{5}{2}^{-7} \\\\\bf= \dfrac{2}{5}^8 \times \dfrac{2}{5}^{-2}\times \dfrac{2}{5}^7 \\\\\bf= \bigg(\dfrac{2}{5}\bigg)^{(8+7-2)}\\\\\boxed{\red{\bf= \dfrac{2}{5}^{13}}}[/tex]
4.6x10^10/ 1.2x 10^3 simplified
Answer:
i hope this helps
Step-by-step explanation:
Bob puts $500 into an account that pays 5% interestc ompounded anually. What is the balance after 5 years?
a
$525.25
b
$625.00
c
$526.72
d
$638.14
Answer:
b
Step-by-step explanation:
How many 1/3 blocks can fit into a 1/2 block?"
Can u help me
Answer:
Step-by-step explanation:
two blocks 1/3 size would fit into 1/2
Answer:
36 rectangular blocks will fit into the cube-shaped block. ... this problem is asking for how many full blocks could fit, not how many parts of blocks could fit. ... For example, suppose each block was 12" by 1" by (1/2)
Step-by-step explanation:
HELP ME ILL GIVE BRAINLIEST AND A THANK YOU There are 650 people expected to donate to the fundraiser. Each person who donates to the fundraiser will receive 10 tickets to put towards prizes. There are 100 tickets on each strip of tickets.
i need help figuring this out step by step
Answer:
X-intercepts: (2,0) and (4,0)
Vertex: (3,-1)
Step-by-step explanation:
1) First, let's find the x-intercepts. The x-intercepts are the points at which the graph intersects the x-axis. Look at the x-axis. The x-axis is crossed at two points, (2,0) and (4,0). Therefore, those are the x-intercepts.
2) Now, let's find the vertex. For parabolas, the vertex can either be the lowest point of the graph (the minimum) or the highest point on the graph (the maximum). So, seeing how the graph goes up until infinity, find the lowest point the graph hits. Reading the graph, it would be (3,-1).
Does anyone know the answer to this?
Answer:
Rectangle
Step-by-step explanation:
(hope this helps!!)
I NEED HELPP IT A QUIZ PLSSS
Answer:
A
Step-by-step explanation:
-6(12p-8n) Please help me with this distributive property question.
Answer:
=48n−72p
Step-by-step explanation: Good luck
Answer:
48n−72p
Step-by-step explanation:
−6(12p−8n)
=(−6)(12p+−8n)
=(−6)(12p)+(−6)(−8n)
=−72p+48n
=48n−72p
8 rows of 7 squares.
What is 56 ÷ 7?
Answer: 56 ÷ 7 = 8
because 58 divided by 7 equals 8 and 7 times 8 equals 54
Please help me! I'm stuck and really confused, thank you so much!
Answer:
(a) [tex]5 * (2x - 1) = 10x - 5[/tex]
(b) [tex]6 * x = x + 2x + 3x[/tex]
(c) [tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - 3[/tex]
(d) [tex]y(3x + 4z) = 3xy + 4yz[/tex]
(e) [tex]z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex]10x - 5[/tex]
Required
Express as a product
Express 10x as 5 * 2x
[tex]10x - 5 = 5 * 2x - 5[/tex]
Apply distributive property
[tex]10x - 5 = 5(2x - 1)[/tex]
[tex]10x - 5 = 5 * (2x - 1)[/tex]
So:
[tex]5 * (2x - 1) = 10x - 5[/tex]
Solving (b):
Given
[tex]x + 2x + 3x[/tex]
Required
Express as a product
Express 2x and 3x as 2 * x and 3 * x, respectively
[tex]x + 2x + 3x = x + 2*x + 3*x[/tex]
Apply distributive property
[tex]x + 2x + 3x = x(1 + 2 + 3)[/tex]
[tex]x + 2x + 3x = x(6)[/tex]
[tex]x + 2x + 3x = 6*x[/tex]
So:
[tex]6 * x = x + 2x + 3x[/tex]
Solving (c):
Given
[tex]\frac{1}{2}(x - 6)[/tex]
Required
Express as a sum/difference
Apply distributive property
[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{1}{2}*6[/tex]
[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{6}{2}[/tex]
[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - 3[/tex]
Solving (d):
Given
[tex]y(3x + 4z)[/tex]
Required
Express as a sum/difference
Apply distributive property
[tex]y(3x + 4z) = 3x * y + 4z * y[/tex]
[tex]y(3x + 4z) = 3xy + 4yz[/tex]
Solving (e):
Given
[tex]2xyz - 3yz + 4xz[/tex]
Required
Express as a product
Factorize
[tex]2xyz - 3yz + 4xz = 2xy * z - 3y * z + 4x * z[/tex]
Apply distributive property
[tex]2xyz - 3yz + 4xz = z(2xy - 3y + 4x)[/tex]
So:
[tex]z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz[/tex]
Please please help no scames ty
Answer:
not mine sorry
Answer:
7059079318
Step-by-step explanation:
M1ZLSm9lRFozZmR1M0N1QXEwd2pidz09
The table below shows the height and the hand span of five students.
Which pattern of association best describes the relationship between the height and the hand span?
A. no association
B. nonlinear association
C. positive linear association
D. negative linear association
There is no association between the height and the hand span.
We can only establish an association when there is a consistent rate of increase or decrease between two variables. The increase or decrease is linear when they occur smoothly.
As we can see, we can not establish any particular relationship between the height and the hand span hence we conclude that there is no association between them.
Learn more: https://brainly.com/question/165414
need help asap
please
What is 3\sqrt{2}\cdot2\sqrt{8}\cdot\sqrt{3}\cdot\sqrt{6} in simplest radical form?
Pls help i really need this :/
Step-by-step explanation:
3√2 * 2√8 * √3 * √6
= 3√2 * 2√4√2 * √18
= 3√2 * 2(2)√2 * √9√2
= 3√2 * 4√2 * (3)√2
= (3√2)² * 4√2
= (18) * 4√2
= 72√2.
the value of the expression is?
Answer:
24
Step-by-step explanation:
u can do mental math or use a calculator
What fraction is equavalient to 1/2
Hiiiiiiiiiiiiiiiii
Answer:
2/4
Step-by-step explanation:1/2= 2/4
Answer:
4/8, 3/6, 5/10, 6/12, 7/14, 8,16, ETC.
Step-by-step explanation:
Which two fractions name point P on the number line?
Number line and choices shown in picture..... plss help me btw I’ll give u branliest if u get it right
The two fractions that lie on point P on the number line will be 1/6 or 2/12. Then the correct option is A.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The section from zero to one is divided into 12 equal parts. And point P lies in the second section. Then the location of the point P will be given as,
⇒ 2 / 12
⇒ 1 / 6
The two fractions that lie on point P on the number line will be 1/6 or 2/12. Then the correct option is A.
More about the number line link is given below.
https://brainly.com/question/13189025
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Help Please! Brainliest if Correct!
Answer
[tex]\frac{6}{y^4}[/tex]
Step-by-step explanation:
6y−4
=6*y−4
=6*
1
y*y*y*y
=
6
y*y*y*y
=
6
y4
Answer:
[tex]\frac{6}{y^{4} }[/tex]
hope this helps
Step-by-step explanation:
pleaseeee
help
meeee
Answer:
rotate the object 90° about the point of origin
Step-by-step explanation:
Write the product using exponents. (pls help)
Help with the question plz
EXPLAIN TOO!
Answer:
it's B
Step-by-step explanation:
(HELPP PLEASE worth a lot of points)Use the bar graph to find the experimental probability of rolling a number less than 7. what is the experimental probability?
Answer:
7
Step-by-step explanation:
Good luck allllll the best! God bless youu
Without solving the systems, explain why the following systems must have the same solution.
System (a): 4 − 5 = 13 System (b): 8 − 10 = 26
3 + 6 = 11 − 11 = 2
Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?
Answer: A
Step-by-step explanation:
Ron's conclusion that the observed frequency will eventually be closer to the expected frequency is reasonable and supported by probability theory.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The law of large numbers states that as the sample size increases, the observed frequency of an event will converge to the expected frequency based on the theoretical probability of the event. In this case, the expected frequency of pulling a blue pen is 3/6 or 1/2, which is based on the theoretical probability of pulling a blue pen.
Although Ron pulled a blue pen only 1 time in 4 trials, it is important to note that he replaced the pen each time.
This means that each trial was independent of the others, and the probability of pulling a blue pen in each trial remained the same at 3/6 or 1/2.
As Ron continues to repeat the trials and increase the sample size, the observed frequency of pulling a blue pen will become closer and closer to the expected frequency of 1/2, as predicted by the law of large numbers.
Therefore, Ron's conclusion that the observed frequency will eventually be closer to the expected frequency is reasonable and supported by probability theory.
To learn more on probability click:
https://brainly.com/question/11234923
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Nikki, Kylie and Andy are arguing about who has the biggest candy bar. Below are their measurements of each candy bar:
Nikki's candy bar: 9.99 oz
Kylie's Candy Bar: 1.999 oz
Andy's Candy bar: 10.0 oz
Who has the heaviest candy bar? How do you know?
Answer:
Andy.
Step-by-step explanation:
10 is greater than 9.99 by 0.01. 10 is also greater than 1.999 by 8.001
20 times what equals 8
Answer:
The answer is 0.4
Step-by-step explanation:
Because 8 divided by 20 is 0.4
Hope this helped have a great day
A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets costs $1.50 and the volunteer has $75 to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.
Answer:
2.45$
Step-by-step explanation:
Sara and Ellie have $60 to spend on a gift for their mom. They want to buy her a bracelet that costs $62.50. What is the minimum discount that they need to be able to buy the bracelet including the CT tax?
Please show your work!
Answer:
Simplify the expression. 4x - 3 + 8x - 5 - 3x
Step-by-step explanation:
Please help!!! Due in 30 mins!!!
Solve for x.
Your answer must be simplified. −30< x/-4
Answer:
x<120 i think