1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor
(e.g., 100 = 102= 10 x 10).
a. 1,000
b. 100 x 100
2. Write the following in standard form (e.g., 4 x 102 = 400).
a. 3 x 102=
C.
800 - 103 =
I
b. 2.16 x 104 =
d. 754.2 - 102 =
Answers
Answer:
1. a. 1,000 = 10³ = 10 × 10 × 10
b. 100 × 100 = 10² × 10² = 10 × 10 × 10 × 10
2. a. 3 × 10² = 300
b. 2.16 × 10⁴ = 21,600
c. 800 ÷ 10³ = 0.8
d. 754.2 ÷ 10² = 7.542
Step-by-step explanation:
3. a. 1,000
There are 3 zeros in 1000. This is equivalent to 10 raised to the power of 3. Writing this in multiplication sentence using 19 as the only factor, we would have:
1,000 = 10³ = 10 × 10 × 10
b. 100 × 100
Using the same logic as explained in (a) above, we would have:
100 × 100 = 10² × 10² = 10 × 10 × 10 × 10
2. a. 3 × 10²
Convert 10² to 100 and multiply both numbers
3 × 10² = 3 × 10 × 10 = 3 × 100 = 300
b. 2.16 × 10⁴
2.16 × 10 × 10 × 10 × 10 = 2.16 × 10,000
Multiplying both numbers, since we have 4 zeros, move the decimal point 4 places to the right.
2.16 × 10,000 = 21,600
c. 800 ÷ 10³ = 800 ÷ 10 × 10 × 10
800 ÷ 1,000
There are 3 zeros in 1000, since we are dividing, move the decimal point 3 places to the left.
800 ÷ 1,000 = 0.8
d. 754.2 ÷ 10² = 754.2 ÷ 10 × 10
754.2 ÷ 100
Move the decimal point 2 places to the left.
754.2 ÷ 100 = 7.542
Related Questions
What would happen if I press the "Restart" button on my android phone?
Answers
Answer:
?
Step-by-step explanation:
Your phone restarts, and then boots up when u hit the on button again. you should not lose any data or anything.
please mark as brainlest.
Answer:
What would happened is all your apps will be closed and it will reboot all of your apps.It won't delete any apps.It's just like an iphone.
Step-by-step explanation:
Brainly Please
Identify the domain of the function show in the graph.
A.-1 <x <0
B.x>0
C.x is all real numbers.
D.-1 <x<1
Answers
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[tex]
x \: \: is \: \: all \: \: real \: \: numbers.[/tex]
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Thus the correct answer is (( C )) .
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Which fruit has the lowest unit price?
A.
2.5 pounds of grapes for $4.19
B.
4 pounds of apples for $5.49
C.
5 pounds of oranges for $6.99
D.
6.5 pounds of strawberries for $9.59
Answers
Answer:
A unit is a measure of ratio between two quantities. In this instance, the unit is a pound. The ratio you need to take is the price of each fruit and divide it by the number of pounds each fruit has to get a price per pound. See below for solution.
Step-by-step explanation:
A. 4.19 dollars / 2.5 pounds = 1.676 dollars / pound
B. 5.49 dollars / 4 pounds = 1.3725 dollars / pound
C. 6.99 dollars / 5 pounds = 1.398 dollars / pound
D. 9.59 dollars / 6.5 pounds = 1.475 dollars / pound
The lowest is B, the apples.
Find the roots of the equation 9x^2-1-(3x -2)^2=0
Answers
Answer: 5/12
Step-by-step explanation:
Which line has an undefined slope?
y = x-5
3y - 6x = 0
x= 10
y = -5
Answers
Answer:
x = 10
Step-by-step explanation:
Y = x-5 has a slope of 1
3y - 6x = 0 is a clear linear equation with a Y-intercept of 0
y = -5 has no slope
x = 10 is a line going straight up and intersects the point (10, 0)
Which is an undefined slope
Which point would not be a solution to the system of linear inequalities shown below?
Answers
Answer:
The coordinates (12,7) would NOT be a solution to the system of linear inequalities shown below.
Step-by-step explanation:
If you do the graphing and you look at all your options of coordinates, (12,7) is the only one that is not in the shaded areas or in the lines of the inequalities. Therefore, (12,7) should be the answer to that question. :)
16(2x + 3) (3x + 5) ÷ 8 (2x + 3)
Answers
Answer:
2(3x+5) OR (6x+10)
Step-by-step explanation:
16 (2x+3) (3x+5)8 (2x+3)
16 (3x+5)8
2 (3x+5) = 6x+5 ThxWhat letter is located at approximately right answers only
√
22
A E
B F
C G
D H
Answers
Answer: B
Step-by-step explanation:
Which expression is a polynomial
Answers
Answer:
Second one
Step-by-step explanation:
Polynomial is when there are multiple terms
Second one is the only one that has more than one term and thus is a polynomial
Please help (explain pls)
Answers
Answer:
C
Step-by-step explanation:
The reason it is C is mainly because it is the only line with a negative slope. A negative slope this direct \. It is not A because that is a positive slope (/). It is not B because that line is undefined which means it would look like this x = 2. And D is wrong because that is a zero slope line which looks like this y = 5. So it is C.
Here is a helpful website for problems like this Desmos. com
Can somebody help me solve this The diameter of a cylinder is 1 yd. The height is 12 yd. What is the volume of the cylinder type you answer with yards
Answers
Answer:
9.42
Step-by-step explanation:
Volume of cylinder= πr^2h
3.14 × 0.5 × 0.5 × 129.42 cube.ydAnswer:
37.68 yd
Step-by-step explanation:
= [tex]\pi[/tex]r²h
= (3.14)(1)²(12)
= 3.14 x 1 x 12
= 3.14 x 12
= 37.68 yd
You earn $1500 a month and 1/4 of your money goes to pay rent. What expression represents the money you have after you pay rent?
Answers
Answer:
x-375
Step-by-step explanation:
First, we find a fourth of $1500.
1/4*1500=375
Then we know that you need to pay $375. We will represent the money right before you pay as x, or any variable you choose.
= x-375
Carla is a waitress at Daybreak Diner, and she earns $5 for each hour she works. Last week, she
out earned $148 total, including $68 in tips. How many hours did Carla work last week?
Answers
Answer:
16 hours
Step-by-step explanation:
148 - 68 = 80
80 / 5 = 16
16
Explication:
148-68=80
80➗ 5= 16
Which polynomials are in standard form?
Choose all answers that apply:
(Choice A, Checked)
A
t^4-1t
4
−1t, start superscript, 4, end superscript, minus, 1
(Choice B, Checked)
B
-2t^2+3t+4−2t
2
+3t+4minus, 2, t, squared, plus, 3, t, plus, 4
(Choice C, Checked)
C
4t-74t−74, t, minus, 7
(Choice D)
D
None of the above
Answers
Answer:
a c
Step-by-step explanation:
Please help with this question :)
Answers
CS = x, and since AB = BC = CD = DA = 1cm -> SD = 1 - x
We see that angle DSP = angle APQ (because they simultaneously equal to 90 when added angle DPS)
So, triangle DSP = triangle APQ (equal hypotenuse - square side and equal angle.)
Similarly, we can prove triangle SCE and QBE in the same way
So, all 4 of the triangles are equal to each other.
-> SD = CE = BQ = AP = 1-x
Calculate the area of 4 triangles : [ x(1-x) : 2 ] x 4 = x(1-x) x 2
Area (PQRS) = 1 - [ x(1-x)] x 2 = 1 - 2x + 2x(squared) = [tex]2x^{2} -2x + 1[/tex]
ii) Half area of PQRS = [tex]x^{2} -x+1[/tex]
= [tex]x^{2} -\frac{1}{2} x-\frac{1}{2} x + \frac{1}{2} = x(x-\frac{1}{2} )- \frac{1}{2}(x-\frac{1}{2} ) + \frac{1}{4} = (x-\frac{1}{2})^{2} + \frac{1}{4}[/tex]
We have : [tex](x-\frac{1}{2}) ^{2}[/tex]
has the smallest value of 0 -> The smallest half value of PQRS = 1/4 -> The smallest value of PQRS = 1/2
In a setting where a situation is described for which optimal parameters are sought, how do we develop a function that models the situation and use calculus to find the desired maximum or minimum
Answers
In order to develop a function that models the situation regarding the optimal parameters, the following are needed:
Introduce the variables.Find an equation relating to the variable.Maximize the quantity.Look that the critical points to determine the extrema.Wnat is a function?It should be noted that a function simply means the relation or expression that has to do with two or more variables.
In this case, to develop a function that models the situation regarding the optimal parameters, one has to introduce the variables and find an equation relating to the variable.
Learn more about functions on:
https://brainly.com/question/24380382
f [ x ] = [ x - 3] [ x + 8 ]
Answers
Answer:
f [ x ] = [ x - 3] [ x + 8 ] = x^2 + 5x - 24
Step-by-step explanation:
f (x)=[ x - 3] [ x + 8 ]
x [ x + 8 ] -3[ x + 8 ]
x^2 + 8x - 3x - 24
x^2 + 5x - 24
What is 1/4 of a 3.5 radius of a circle?
Answers
Answer:
Let us divide the circle into 4 equal parts because they have told that 1/4 th part so there are 4 equal parts because,fractions represent equal parts of a whole or a collection.
Let us take a circle with centre 'O'
Now, the 1/4th part of circle is a sector with angle 90° & radius 3.5cm
We can find the area of sector in 2 methods
Method 1 :
Formula :
Here , r is radius & θ is the angle in sector where θ is measured in degrees
Hence , area of sector = 9.6cm²
Method 2 :
Formula:
Here , r is radius & θ is angle in sector where θ is measured in radians
First we have to convert 90° into radians
We know that π radians = 180°
90 ° = π/2 radians
Substituting
Hence , area of sector = 9.6 cm²
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Solve the inequality
Answers
t > 28
Hope this helped
Answer:
t > 28
Step-by-step explanation:
[tex]\dfrac{t}{4} > 7[/tex]
Multiply both sides by 4:
[tex]\implies t > 28[/tex]
Carlos and Diya perform the same transformations on the same pre-image, but in reverse order.
Carlos translates, then dilates.
Diya dilates, then translates.
Carlos claims the resulting images will always be the same. Diya disagrees.
Who is right? and why
Answers
Answer:Diya
Step-by-step explanation: she’s right because she is black and all black peoples is always right
helpppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
31
Step-by-step
161/52=can go in 3 times then you bring down the 2 then it becomes 1 because 52 /52 =1
31
1612
-156
52
-52
=0
Answer:The first error was made in step 1
The quotient should be 31
Step-by-step explanation:
50 POINTS!!!
SOLVE!!!!!!!!!!!
Answers
Answer:
Range of the function is {7,5,2,0}
Step-by-step explanation:
hope it helps you
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thanks
Answer:
{7, 5, 2, 0}
Step-by-step explanation:
The domain is essentially all the [tex]x[/tex] values of the function, where the range is the value of [tex]h(x)[/tex].
So in order to solve this we simply plug in each number into the equation and get:
[tex]h(x)=|-2-5| = |-7|=7[/tex]
[tex]h(x)=|0-5| = |-5|=5[/tex]
[tex]h(x)=|3-5| = |-2|=2[/tex]
[tex]h(x)=|5-5|=|0|=0[/tex]
Therefore the range is: {7, 5, 2, 0}
Congruent Triangle are?
Answers
Answer:
Triangles that have exactly the same size and shape are called congruent triangles. The symbol for congruent is ≅. Two triangles are congruent when the three sides and the three angles of one triangle have the same measurements as the three sides and three angles of another triangle.
Answer:
have exactly the same size and shape
Step-by-step explanation:
triangles are congruent when they have three sides
PLEASE ANSWER (100points)
When evaluating (6 x + 9) squared minus 5 for x = 1, the given value of 1 is substituted for what part of the expression?
the exponent
the constant
the variable
any numerical value
Answers
Answer:
the variable
Step-by-step explanation:
Given expression:
[tex](6x+9)^2-5[/tex]
When evaluating the expression for [tex]x=1[/tex], we need substitute 1 for the variable ([tex]x[/tex]) in the expression.
Evaluating the expression for [tex]x=1[/tex]:
[tex]\implies (6\cdot1+9)^2-5[/tex]
[tex]\implies (6+9)^2-5[/tex]
[tex]\implies (15)^2-5[/tex]
[tex]\implies 225-5[/tex]
[tex]\implies 220[/tex]
Answer:
Variable
As variable is x and we have to substitute x=1Step-by-step explanation:
Let's find the value
[tex]\\ \rm\Rrightarrow (6x+9)^2-5[/tex]
[tex]\\ \rm\Rrightarrow (6+9)^2-5[/tex]
[tex]\\ \rm\Rrightarrow 14^2-5[/tex]
[tex]\\ \rm\Rrightarrow 196-5[/tex]
[tex]\\ \rm\Rrightarrow 191[/tex]
Tyler painted 9/2 square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square yard wall?
Answers
Answer:
He would need 3/4 a gallon to paint the wall
Step-by-step explanation:
Suppose an exponential function can be written in the form y=ab^x, and we know the common ratio b and some point (ℎ,k). True or false: The function can also be written as y=k·b^x-h.
Answers
Answer:
true
Step-by-step explanation:
y = ab^x
the coordinates of the point are x and y values.
so, we can express "a" by these values :
k = ab^h
a = k/(b^h) = k × b^-h
now we use this identity in the original equation and get
y = k × b^-h × b^x = k×b^(x-h)
and that is exactly the same as the proposed form.
which of these is the correct way to write 21000 in words?
Answers
Answer:
Twenty-one Thousand
Step-by-step explanation:
Helppppp meeeeee question 2 pleaseeee !!
Answers
What is below the question is what I mean.
Find the distance between the points.
(5 ,10) and (negative 3 ,10)
Answers
Answer:
8 unit difference x, stays the same on y
Step-by-step explanation:
5 to -3 = 8 units
Owen has a mask collection of 300 masks he keeps 63 of the masks on his wall what percentage of Owens mask collection does he keep on his wall