Plllsss solve dis three questions pls simplify it I’ll mark da critical answer as brainlist
Answer:
use a calculator and you can find:
3. 3.9342208 x 10^(-6)
4. 162/3125
5. 1/60
Answer:
Step-by-step explanation:
Exponent Law:
[tex]\sf \left(\dfrac{a}{b} \right)^{m}=\dfrac{a^{m}}{b^n}\\\\a^m *a^n =a^{m+n}\\\\\dfrac{a^{m}}{a^n}=a^{m-n}[/tex]
In exponent law, in multiplication, if bases are same add the powers and in division, if the bases are same, subtract the powers.
3)
[tex]\sf \left(\dfrac{7}{3} \right)^{-2}*\left(\dfrac{1}{7}\right)^{5}*\left(\dfrac{3}{5} \right)^{2}=\dfrac{7^{-2}}{3^{-2}}*\dfrac{1}{7^5}*\dfrac{3^2}{5^{2}}[/tex]
[tex]= \dfrac{7^{-2-5}*3^{2-[-2]}}{5^2}\\\\= \dfrac{7^{-7}*3^{2+2}}{5^{2}}\\\\=\dfrac{3^{4}}{7^7*5^{2}}[/tex]
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4)
[tex]\sf \left(\dfrac{2}{5}\right)^3*\left(\dfrac{2}{3}\right)^{-2}*\left(\dfrac{3}{5}\right)^2=\dfrac{2^3}{5^3}*\dfrac{2^{-2}}{3^{-2}}*\dfrac{3^2}{5^2}[/tex]
[tex]= \dfrac{2^{3-2}*3^{2-[-2]}}{5^{3+2}}\\\\=\dfrac{2*3^{2+2}}{5^{5}}\\\\=\dfrac{2*3^4}{5^5}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`````
5)
[tex]\sf \left(\dfrac{3}{10}\right)^4*\left(\dfrac{10}{15}\right)^{2}*\left(\dfrac{5}{3}\right)^{3}=\left(\dfrac{3}{2*5}\right)^4*\left(\dfrac{2*5}{3*5}\right)^{2}*\left(\dfrac{5}{3}\right)^{3}[/tex]
[tex]=\left(\dfrac{3}{2*5}\right)^4*\left(\dfrac{2}{3}\right)^{2}*\left(\dfrac{5}{3}\right)^{3}\\\\=\dfrac{3^4}{2^4*5^4}*\dfrac{2^2}{3^2}*\dfrac{5^3}{3^3}\\\\=3^{4-2-3}*2^{2-4}*5^{3-4}\\\\=3^{-1}*2^{-2}*5^{-1}\\\\=\dfrac{1}{3*2^{2}*5}\\\\=\dfrac{1}{3*4*5}\\\\=\dfrac{1}{60}[/tex]
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo. For every 12-foot leap of
the kangaroo, the rabbit makes a 7-foot leap. How many leaps will the kangaroo have to make to
catch up to the rabbit if the two animals always leap at the same time?
Answer:
30 leaps
Step-by-step explanation:
Equation of rabbit:
y=7x+150
Equation of kangaroo:
y=12x
To solve the system of equations, use substitution
12x=7x+150
5x=150
x=30
please mark brainliest!
help please i will give u brainlest
Answer:
For the first question, your answer would be 65 degrees. The reason for this is that complementary angles add up to 90 degrees. So, 90-25= 65 degrees.
Step-by-step explanation:
For supplementary angles- 180-the angle given= ?
I will give Brainliest!!!!!!!
Reason:
There are 6 angles shown. If they are all the same measure, then they must be 360/6 = 60 degrees each. This is because the angles all glue together to form a full 360 degree rotation. There are no gaps or overlaps.
Could use some help! :(
Step-by-step explanation:
14(3.8) ×3 + 2(1/2)×3×4
= 159.6 + 12
= 171. 6
what is the cube root of 27/64?
Answer:
⅜
Step-by-step explanation:
We want to find the cube root of 27/64.
∛(27/64)
We know that;
3³ = 27 and 8³ = 64
Thus;
∛(27/64) = ⅜
Suppose a jar contains 14 red marbles and 31 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. Answer should be in fractional form.
Answer:
P = 91/990
Step-by-step explanation:
first red marble: [tex]\frac{14}{45}[/tex]
second red marble: [tex]\frac{13}{44}[/tex]
The probability
[tex]P=(\frac{14}{45})(\frac{13}{44} )=\frac{(14)(13)}{(45)(44)} =\frac{182}{1980} =\frac{91}{990}[/tex]
Hope this helps
luka tried to define a rotation about point c
Answer:
C
Step-by-step explanation:
As properties are preserved
A bag of marbles contains: 50 green, 12 blue, 2 yèllow, 10 purple and 10 red. Write
each answer as a DECIMAL.
23. P (blue) =
24. P(not red)
25. P(green) =
Answer:
p(blue)=0.14
p(not red)=0.9
p(green)=0.6
Step-by-step explanation:
p(blue)=12/84=0.14
p(not red)=74/84=0.9
p(green)=50/84=0.6
Hope it helps
Answer:
See below ~
Step-by-step explanation:
Q23)
P (blue) = No. of blue marbles / Total marblesP (blue) = 12/(50 + 12 + 2 + 10 + 10)P (blue) = 12/84P (blue) = 1/7P (blue) = 0.14Q24)
P (not red) = No. of marbles that are not red / Total marblesP (not red) = 74/84P (not red) = 37/42P (not red) = 0.88Q25)
P (green) = No. of green marbles / Total marblesP (green) = 50/84P (green) = 25/42P (green) = 0.59
2k=18
Find the value of k that makes the equation true.
Group of answer choices
k=10
k=9
k=7
k=6
Answer:
k=9
Step-by-step explanation:
K=9, because if you plug in 9 as k(2(9)=18)the equation is true.
Answer:
k=9
Step-by-step explanation:
2 × 9 = 18 which is the same as 9 + 9=18
I am really bad at percentages, please help me. Thank you so much!!
what percentage did Mr. Tanaka use of the stock in the recipe.
Answer:
80%
Step-by-step explanation:
We can find this by dividing 4 by 5 to get 0.8. Then we can convert this to a percent.
Please help me with this one!
Answer:
how do u do that....I have never did this before
A certain ore contains 21 percent gold. How much ore (in tons) is needed to obtain 882 tons of gold?
Answer:
it would be 4200 ore
Step-by-step explanation:
because 882/.21
Which statement is true of a rectangle that has an area of 4x2 39x – 10 square units and a width of (x 10) units? the rectangle is a square. the rectangle has a length of (2x – 5) units. the perimeter of the rectangle is (10x 18) units. the area of the rectangle can be represented by (4x2 20x – 2x – 10) square units.
The length and width of the rectangle are (4x - 1) and (x + 10) then the perimeter of the rectangle is 10x + 18. Then the correct option is C.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The polynomial of the rectangle will be given below.
4x² + 39x – 10
The factor of the polynomial will be
(4x - 1)(x + 10)
Then the perimeter of the rectangle will be
Perimeter = 4x - 1 + 4x - 1 + x + 10 + x + 10
Perimeter = 10x + 18
More about the factorization link is given below.
https://brainly.com/question/6810544