Solution :
Given that the expression is :
[tex]$10^3 \times 0.006$[/tex]
This can be written as,
[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]
[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]
[tex]$\Rightarrow 10^0 \times 6$[/tex]
a). Therefore the exponent in the power of 10
= 0
b). Factors of 10 in [tex]$10^3$[/tex]
= 10 x 10 x 10
= 1000
= [tex]$10^3$[/tex]
So there are 3 factors of 10 in [tex]$10^3$[/tex]
c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.
But in part a), we are finding exponent in the power of 10 in the expression which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.
d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.
The population of a town is 9,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years ?
Answer:
13410
Step-by-step explanation:
So, first we find 4.6% of 9000
9000 x .046 = 414
Then we multiply the 414 by 10 because they gain 414 people every year and we need to find how many people after 10 years
414 x 10 = 4140
now add 4140 and 9000
Answer = 13140
WORTH 15 POINTS!! - Eileen's Energy Bars has determined that an energy bar measuring 3.25 inches long has a z-score of +1 and an energy bar measuring 3.50 inches long has a z-score of +2.
What is the standard deviation of the length of energy bars produced at Eileen's Energy Bars?
3.5
3.25
0.75
0.25
Answer:
0.25
Step-by-step explanaition:
The z-score represents how many deviations a value is from the mean. When the bar measures 3.25, the z-score is +1. When the bar measures 3.50, the z-score is +2. You'll notice that whenever the bar size increases by 0.25, the z-score goes up +1. So, the standard deviation from the mean must be 0.25.
Answer:
0.25
Step-by-step explanation:
i took the test
What are the answers?
Answer:
Step-by-step explanation:
I need the statements please.
Mrs. Cohen has 950 pencils and she has 2 huge boxes, how many pencils is in each box?
Answer:
475 pencils in each box
Step-by-step explanation:
950/2= 475
Youd divide 950 by 2 where 2 represents the 2 boxes
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
Which lengths make sense for possible values of b? Check all that apply.
–2 in.
0 in.
0.5 in.
2 in.
7.9 in.
Answer:
0.5 in, 2 in
Step-by-step explanation:
It cannot be a negative number, so -2 is out.If we use Pythagorean's theorem ([tex]a^2+b^2=c^2[/tex]), we know that only 0.5 and 2 are correct values of b.Solve for w.
9- w = 224
Answer:
-215
Step-by-step explanation:
-w = 215
w = -215
hope this helped
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Step-by-step explanation:
The sum of all angles in a triangle is always 180.
So we can set up an equation
3/2x+1/2x+x= 180
3/2+1/2x+2/2x=180
3x+1x+2x=360
6x=360
x=60
the width of a rectangle is ycm and its length is y+2 cm. if the perimeter of the rectangle is 32cm what is the width of the rectangle
Answer:
[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]
ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴
⇒WIDTH = Y cm
⇒LENGTH =( y+2 )cm
⇒PERIMETER = 32cm
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
solution ↴
perimeter of rectangle = 2 ( length + width)
[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm
[/tex]
☛ so the width of the rectangle is 7cm
so we all done :D
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
find the value of a-9 when a = 8
Answer:
-1
Step-by-step explanation:
if a is 8 plug it in to the problem, and you get 8 - 9 which is -1
Hope this helps!
Answer:
-1
Step-by-step explanation:
Solve for w.
−(1/4w+8)+8=3
w=134
w = 52
w=−34
w=−12
Solve for w by simplifying both sides of the equation, then isolating the variable.
D. w = −12
In 2018, researchers examined a random sample of 1455 "disadvantaged" Australian school children (children aged 6 – 15 from rural and outer suburban areas) and found that 4.3% of them were nearsighted. In 2014, the rate of nearsightedness among such children was 3.5%. Is this strong evidence that the parameter has changed since 2018?
Answer:
No, this is not a strong evidence that the parameter has changed since 2018. This is because, there are so many factors that could have led to the fall in percentage of "disadvantaged school students" from the initial 3.5% to 4.3%.
Some of the factors could be reduction in the number of disadvantaged students, sample size considered being considered as well as the geographic location upon which the random sampling was made.
Step-by-step explanation:
A $400 table is on sale for 33% off. There is a 6.8% sales tax. How would you find the final price of the table?
Answer:
if i am right it 260
Step-by-step explanation:
Given h(x) = 3x + 4, find h(-1).
The value of h(-1) for the given funciton h(x) = 3x + 4 will be 1.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the function h(x) = 3x + 4
If we want to calculate the value of the function at a certain point then we need to keep that point in the function.
So,
Value of function at = -1 will be
h (-1) = 3(-1) + 4
h(-1) = 1
Hence " The value of h(-1) for the given funciton h(x) = 3x + 4 will be 1".
For more about the function,
brainly.com/question/23712366
#SPJ5
Jerry borrowed $400 for 5 years at 6% simple interest rate. What will the value of Jerry’s account be after 5 years
Answer:
here's the answers...,........
Fiteen packs of fruit snacks cost $3. How much do 5 paxks of fruit snack cost?
Find the values of X and Y
Answer:
x=90, angle bisector theorem
y=43,
90+47+y=180
=137+y=180
y=43
Select the correct answer. What is the value of this expression if h = 8, j = -1, and k = –12?
Answer:
the answer is 12 thankyou lorcolantro for wasting our time
Step-by-step explanation:
ya lorcolantro you made me F
The value of the given expression j³k/h⁰ at h = 8, j = -1, and k = –12 will be 12 so option (B) will be correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression is
j³k/h⁰
Substituting h = 8, j = -1, and k = –12 into the expression
(-1)³(-12)/(8)⁰ = -1 × (-12)/1 = 12
Hence " The value of the given expression j³k/h⁰ at h = 8, j = -1, and k = –12 will be 12".
To learn more about expression,
https://brainly.com/question/14083225
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For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
O (3,-4)
O (-3,-4)
0 (-4,-3)
O (-4.3)
We can use the equation of tangent as a structure.
[tex]y - f(a) = f'(a)(x - a)[/tex]
Our f(a) is y-point and Our a is x-point..
Looking back at the equation, our f(a) would be 3 and a would be - 4
Therefore the answer is (-4,3)
y + 2/5y whats is its equivalent expression
Answer:
(7 y)/5 I think...
Step-by-step explanation:
I need help with number 3 and 4 please
Step-by-step explanation:
x 1 2 3 4 5 6
y 4 8 12 16 20 24
4
x 1 2 3 4 5. 6
y 2 7 12 17. 22. 27
There is 1/3 of a pie shared equally between 5 children. How much of the pie does each child receive?
1/9 pie
1/15 pie
1/18 pie
1/20 pie
Answer:
1/15 pie
Step-by-step explanation:
An easy way to do this is instead of dividing, multiply the denominator by 5. You get 15. You can say Im just making a coincidence, but try it yourself!
(1/3)/5 is basically multiplication. You may have heard the saying, "division with fractions is multiplication". Thats true. Turn 5 into 5/1 and multiply. 5/1x1/3.
you get 1/15. Hope it helps
Also you have to flip 5/1 to 1/5 and then multiply hehe. thats how you get 1/15
Answer:
Its B, 1/15 hope this helps
Step-by-step explanation:
plsssss pplssss helpppp
Answer:
Hold on i have to work it out real quick
Step-by-step explanation:
What is f(x) - g(x)
f(x)=x^2 + 2x - 5
g(x)= -3x^2 - 4x + 1
Answer:
f(x)=(−1,−6)
g(x)=(−2/3,7/3)
Step-by-step explanation:
What are we finding the vertex
Answer:
A. -2x^2-2x-4
Step-by-step explanation:
:D
**
Please help me out I’m giving you more points! This is really important ❤️ and I’m confused please :))) thank you so very much
Answer: A,C
Step-by-step explanation: They are facing each other making them interior angles
Please help if you can :(
Answer:
its b
Step-by-step explanation:
Allen has a 75 yard spool of yarn. He needs to cut the spool of yarn into 6 1/4
yard pieces of yarn.
How many 6 1/4
yard pieces of yarn can Allen create from the 75 yard spool of yarn?
A. 6 pieces
B. 12 pieces
C. 20 pieces
D. 36 pieces
Answer:
B. 12 pieces
Step-by-step explanation:
75 / 6 1/4 or 75 / 6.25 = 12
Answer:
b (12)
Step-by-step explanation:
[x]/[6]=-46 , what is x
Answer:
Step-by-step explanation:
x/6 = - 46
Multiply by 6 on both sides
x = - 46 x 6
x = - 276
Answer:
x= -276
Step-by-step explanation:
x/6=-46
x= -46(6)
x= -276
i think... :)
Why are inverse operations and
properties of equality important when solving
equations? Explain.
Answer:
An inverse operation is two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality. This gives us a couple of properties that hold true for all equations.
The admission fee at a museum is $5 for children and $16 for adults. Yesterday, 800 people came to the museum and $8400 was collected. How many children and how many adults came to the museum?
Question in the photo
Need an answer asap!
Answer:
25 = y
Step-by-step explanation:
We know that x = 4/5 y
20 = 4/5 y
Multiply each side by 5/4
5/4 * 20 = 5/4 * 4/5 y
25 = y