Answer:
To solve this problem, we need to write each number in two different ways, we could use percetanges or fractions.
(A) 40,000,000.00.This number can be written in scientific notation like [tex]4 \times 10^{7}[/tex], where the exponent depends on the amount of zeros the quantity has.
A second way to write this number would be as a product [tex]2 \times 20,000,000.00[/tex].
(B) 0.02.Similarly, this number can be written in scientific notation [tex]2 \times 10^{-2}[/tex], also, we can write it as a fraction [tex]\frac{2}{100}[/tex].
(c) 105,000,000.This number in scientific notation would be [tex]1.05 \times 10^{8}[/tex]. As a product would be
[tex]1050 \times 100000[/tex].
(d) 0.000000007.In scientific notation would be [tex]7 \times 10^{-9}[/tex]. As a fraction would be [tex]\frac{7}{1000000000}[/tex].
(e) 456,983.In scientific notation would be [tex]4.56983 \times 10^{5}[/tex]. Also, we can write it as a sum
[tex]450,000 + 6,983[/tex]
(f) 0.000000673.In scientific notation would be [tex]6.73 \times 10^{-7}[/tex]. As a fraction would be [tex]\frac{673}{1000000000}[/tex]
In training for a swim meet, Kelly swam 600 meters in 1/3 hour. Her swimming partner Eva swan 2/3 of Kelly’s distance in 1/5 hour. How many meters did Eva swim in 1/5 hour and what was her average swimming speed?
Answer:
Eva swam 400 meters in 1/5 hour. Her average swimming speed was 2000 meters per hour.
Step-by-step explanation:
Eva swam 2/3*600 meters in 1/5 hour. 2/3*600=400. She swam 400 meters in 1/5 hour, which means she swims 5*400 meters in a whole hour. Eva swims 2000 meters per hour.
what is the center of a circle whose equation is x^2+y^2-12x-2y+12=0
Answer:
(6, 1)
Step-by-step explanation:
Answer:
centre = (6, 1 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 2y + 12 = 0
Collect the x and y terms together and subtract 12 from both sides
x² - 12x + y² - 2y = - 12
To obtain the equation in standard form use completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 1)y + 1 = - 12 + 36 + 1
(x - 6)² + (y - 1)² = 25 ← in standard form
with centre = (6, 1 ) and radius = [tex]\sqrt{25}[/tex] = 5
Find the slope and y-intercept of the line through the pair of points L(-9,6),M(-1,9)
Answer:
The slope is 3/8
The y intercept is 75/8
Step-by-step explanation:
The slope is found by
m= (y2-y1)/(x2-x1)
= (9-6)/(-1- -9)
= (9-6)/(-1+9)
=3/8
The y intercept is found by
y = mx+b where m is the slope and b is the y intercept
y = 3/8 x+b
9 = 3/8(-1) +b
Getting a common denominator
72/8 = -3/8 +b
Add 3/8 to each side
75/8 = b
The y intercept is 75/8
Answer:
3/8, 9 3/8
Step-by-step explanation:
y= mx+b
m=(y2-y1)/(x2-x1)
L (-9, 6) and M(-1, 9)
slope is:
m= (9-6)/(-1+9)= 3/8y- intercept is:
6=3/8*(-9)+bb= 6+27/8= (48+27)/8= 75/8= 9 3/8Write each as an algebraic expression
Answer:
4^3
11>6
y>2
13-x
Step-by-step explanation:
4 is to the third power
11 is greater than 6 which means u use this sign >
y is greater than 2
13 subtract x
What is the slope? Help me please
Answer: Slope of 2.
Step-by-step explanation:
Start at where the line meets on the y-axis, -7. Then work your way upwards until you see the line align with a value of x, like (1,-5). Then you see a trend of it going up 2 units and over 1. 2/1 or 2 is your slope.
HURRRYYYYYYY
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 4.
A).1/4
B).1/3
C).1/2
D).2/3
Answer:
(C) ¹/₂
Step-by-step explanation:
Given;
A standard number cube with the numbers 1 through 6 = 1, 2, 3, 4, 5, 6
The probability of rolling a number less than 4 = 3, 2, 1
The probability of rolling 3, P(3) = ¹/₆
The probability of rolling 2, P(2) = ¹/₆
The probability of rolling 1, P(1) = ¹/₆
Probability of rolling a number less than = P(3) or P(2) or P(1)
= ¹/₆ + ¹/₆ + ¹/₆
= ³/₆
= ¹/₂
Therefore, the probability of rolling a number less than 4 is ¹/₂
Option (C) ¹/₂
Find the distance between (-3, 3) and (-3, -3).
Answer:
6
Step-by-step explanation:
Since they have the same x - value, just find the distance between the y - values.
6
A group of 10 friends are in line to see a movie. The table shows how much different groups will pay in all. Predict how much the group of 10 will pay.
Answer: Wheres the table
Step-by-step explanation:
Answer:
Step-by-step explanation:
40
On a shelf there are 6 novels, 8 poetry books, and 4 mystery books. What is the probability that person A chooses a novel,then a mystery and walks away, then person B picks a mystery and a poetry book?
Answer:
2/255
Step-by-step explanation:
In total, there are 18 books on the shelf.
The probability that person A will pick a novel is 6/18 = 1/3
There are now 5 novels and 17 total books on the shelf
The probability that person A then picks a mystery is 4/17.
There are now 3 mysteries and 16 total books on the shelf.
The probability that person B then picks a mystery is 3/16.
There are now 2 mysteries and 15 total books on the shelf.
The probability that person B then picks a poetry book is 8/15.
The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:
1/3 * 4/17 * 3/16 * 8/15 = 2/255
Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-fifth x minus four-fifths? f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Answer:
The inverse of the function is [tex]g (x)=-5x-4[/tex].
Step-by-step explanation:
The function provided is:
[tex]f^{-1}(x)=-\frac{1}{5}\ x-\frac{4}{5}[/tex]
Let us assume that:
[tex]y=f^{-1}(x)[/tex]
Then the equation will be:
[tex]y=\frac{-x-4}{5}[/tex]
To compute the inverse of the function substitute x as y and y as x.
[tex]x=\frac{-y-4}{5}[/tex]
Now solve for y as follows:
[tex]x=\frac{-y-4}{5}[/tex]
[tex]5x=-y-4[/tex]
[tex]y=-5x-4[/tex]
Thus, the inverse of the function is [tex]g (x)=-5x-4[/tex].
Answer:
The answer is "-5x-4"
Step-by-step explanation:
Given:
[tex]\bold{f^{-1} (x)=(-\frac{1x}{5}-\frac{4}{5})}[/tex]
solve the above equation:
[tex]\to f^{-1}(x)= \frac{-x-4}{5}\\\\\to f^{-1}(x)= -\frac{x+4}{5}\\[/tex]
Let
[tex]y= f^{-1} x= -(\frac{x+4}{5})\\\\[/tex]
inverse the above function:
[tex]\to x= -(\frac{y+4}{5})\\\\\to 5x= -(y+4)\\\\\to 5x= -y-4\\\\\to\boxed {y=-5x-4}\\\\[/tex]
The relationship between two variables a and b is proportional. When a is 3, b is 25.5. Write an equation to represent this relation.
Answer:
y = 8.5x
Step-by-step explanation:
A proportional relation in one in which change of value of y with respect to change of value of x remains proportional. It can be represented by equation
y = kx, where k is constant of proportionality
________________________________________________
Let the relation be
y = kx
but we have a as 3 and b as 25.5
thus
substituting value of and a and b in y = kx , we have
25.5 = k*3
=> k = 25.5/3 = 8.5
Thus, equation which can represent this relation is y = 8.5x
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
7-x
Step-by-step explanation:
49 - x^2 is a perfect square so
it factors to :(7+x)(7-x)
since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)
Forgive me for my lame explanation :')
Which graph represents the function f(x) =three-halves(2)x? On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 3), (2, 9). On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 2) and goes through (1, 3), (2, 4.5), (3, 7) On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 2), (2, 4), (3, 8). On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1.5) and goes through (1, 3), (2, 6).
Answer:
its the fourth one on edg
Step-by-step explanation:
Answer:
The last option :)
Step-by-step explanation:
126/21 The simplest form
[tex] \dfrac{126}{21} = \dfrac{2 \times 3 \times 3 \times 7}{3 \times 7} = 6[/tex]
Answer: 6
Find the slope of the line that passes through (2, 5) and (7, 8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
(8-5)/(7-2)= 3/5
Step-by-step explanation:
proper fraction
factored form of 2x*2+13x+20
Answer:
(2x+5)(x+4)
Step-by-step explanation:
After factoring we can find that it equals
(2x+5)(x+4)
Answer:
(2x +5) (x+4)
Step-by-step explanation:
2x*2+13x+20
(2x + )(x+ )
Factoring 20 into 4 and 5 so we can get 13 in the middle
(2x +5) (x+4)
2*4 +5 = 13 for the middle term
can you help me with this range problem?
Answer:
A) 3
Step-by-step explanation:
The range is the highest value - the lowest value from the data
The data given is 1,2,3,4
Highest value: 4
Lowest value: 1
So range = 4-1
= 3
Find the volume of a pyramid with a square base, where the side length of the base is 7.5 cm and the height of the pyramid is 10.2. Round your answer to the nearest tenth of a cubic centimeter
Answer:
The volume is 191.3 [tex]cm^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by the formula:
[tex]Volume=\frac{B\,*H}{3}[/tex]
where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2
Now, we use this value and the height 10.2 cm to find the volume:
[tex]Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3[/tex]
which rounded to the nearest tenth is: 191.3 [tex]cm^3[/tex]
Answer:
191.3
Step-by-step explanation:
A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the surface area of the box in terms of length only
Answer:
[tex]\dfrac{2s^3+136}{s}[/tex]
Step-by-step explanation:
Let the side length of the square base =s feet
Let the height of the box = h
Given that the volume of the box = [tex]34$ ft^3[/tex]
Volume of the box =[tex]s^2h[/tex]
Then:
[tex]s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}[/tex]
Surface Area of a Rectangular Prism =2(lb+bh+lh)
Since we have a square base, l=b=s feet
Therefore:
Surface Area of our closed box[tex]= 2(s^2+sh+sh)[/tex]
[tex]S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}[/tex]
Find the third side in simplest radical form
Answer:
[tex] 2 \sqrt{71} \: units[/tex]
Step-by-step explanation:
Given is a right angled triangle in which third side is the hypotenuse.
Therefore, by Pythagoras theorem:
[tex]thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units[/tex]
sendo a função f(x) = 4x³ +8x² - 2 . x + 13, determine o valor de 9.f (3)
Answer:
The value of 9f(3) is 1683.
Step-by-step explanation:
This is a compound function, so let's call it [tex]g[/tex], where it is equal to:
[tex]g = 9*f(3)[/tex]
To solve it, we need to find [tex]f(3)[/tex] and apply it on the expression above, this is done below:
[tex]f(3) = 4*(3)^3 + 8*(3)^2 - 2*3 + 13\\f(3) = 4*27 + 8*9 - 6 + 13\\f(3) = 108 + 72 + 7\\f(3) = 187\\[/tex]
Applying it on [tex]g[/tex] we have:
[tex]g = 9*187 =1683[/tex]
Answer:
1,863
Step-by-step explanation:
First thing to do here is to substitute 3 for the value of x
f(3) =4)3)^3 + 8(3)^2 -2(3) + 13
= 4(27) + 8(9) -6 + 13
= 108 + 72 + 7 = 207
we now multiply this result by 9
= 9 * 207 = 1,863
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
f⁻¹(f(6.022)) = 6.022
f⁻¹(-10) + f(-6) = -6 + -10 = -16
Step-by-step explanation:
f⁻¹(f(x)) = x
so f⁻¹(f(6.022)) = 6.022
inverse function flips y and x coordinates so look at table where f(x)=-10 and read x so f⁻¹(-10) = -6
f⁻¹(-10) + f(-6) = -6 + -10 = -16
Find the area of the triangle. Round your answer to the nearest tenth.
A) 101.3 m^2
B) 58.5 m^2
C) 29.3 m^2
D) 50.7 m^2
Answer:
A
Step-by-step explanation:
The function f(x) = x + is used to complete this table.
A 2-column table with 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f of x with entries 1, three-halves, 2, five-halves.
Which statements are true of the given function? Check all that apply.
fStartFraction negative 1 Over 2 EndFraction = –2
f(0) = three-halves
f(1) = –1
f(2) = 1
f(4) = seven-halves
Answer:
b & e
Step-by-step explanation:
The statements that are true of the given function are f(0)=3/2 and f(4)=7/2. This can be obtained by finding the function and checking the values of given in the question.
Check which statements are true :
Given, f(-1/2)= -2
f(0)= 3/2
f(1)= -1
f(2)= 1
f(4)= 7/2
The function is of the form, f(x)= mx +b
where m is the slope of the line and b is the cutting point with the y axis.
For x=0, the value of the function is f(0)=3/2
⇒b=3/2 and m=1/2
∴ The function is f(x) = (1/2)x + 3/2
f(-1/2) = (1/2)(-1/2) + 3/2 =5/4
f(0) = (1/2)(0) + 3/2 = 3/2
f(1) = (1/2)(1) + 3/2 = 2
f(2) = (1/2)(2) + 3/2 = 5/2
f(4) = (1/2)(4) + 3/2 = 7/2
Hence the statements that are true of the given function are f(0)=3/2 and f(4)=7/2.
Learn more about functions here:
brainly.com/question/32813328
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0.9a+4.96=3.6+1.4a what is the answer simplfy
Answer:
2.72
Step-by-step explanation:
the other one copied my answer from another website.
Explanation:
Move all the terms containing a to the left side of the equation
-0.5a+4.96=3.6
Subtract 4.96 from right side
-0.5a=3.6-4.96
Would be
-0.5a=-1.36
Divide each term by -0.5 and simplify
a= 2.72
Please help its not working
Answer:
[tex]33\%[/tex]
Step-by-step explanation:
To work out the percentage of the circle shaded blue, we first must work out the area of the whole circle.
Area of the whole circle = [tex]\pi r^2[/tex]
[tex]r=4+3+3\\\pi * (4+3+3)^2=\pi*10^2=100\pi[/tex]
Now we need to work out the area of the blue 2d torus, by finding out the area of the blue circle, then subtracting the area of the innermost white circle.
Blue shaded area = [tex]\pi(r_{0}{^2}-r_{1}{^2})[/tex]
[tex]r_0=4+3\\r_1 = 4\\\pi ((4+3)^2-(4)^2)= \pi (7^2-4^2)=33 \pi[/tex]
Now we have the total areas of each, we can work out the fraction of blue to non blue by dividing the blue area by the total area, and then working out the percentage by multiplying by 100.
[tex]\frac{33\pi}{100\pi}*100=\frac{33\pi}{\pi}=33\%[/tex]
Y=10 when x=8 what is x when y=30
Answer:
X= 24
Step-by-step explanation:
Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3
Answer:
28 or 24 im not sure which
Factor completely 10x2 + 2x − 8
Step-by-step explanation:
[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]
Answer:
[tex]2(5x-4)(x+1)[/tex]
You can check the answer by re-distributing the 2 and using the foil method :)
the compounding of this question
If someone could do this it’s be greatly appreciated!
Answer:
a). A = -2x² + 200x
b). Widths = 40 feet and 60 feet
Step-by-step explanation:
It is given that length of the fencing material = 200 feet
a). Peg wants to cover the vegetable garden from three sides with the given fencing material.
If length of the garden = l
and width of the garden = x
l + x + x = 200
l + 2x = 200
l = (200 - 2x) feet
Therefore, area of the garden = Length × width
A = [tex](200-2x)\times x[/tex]
A = -2x² + 200x
b). Foe A = 4800 square feet,
4800 = -2x² + 200x
2x² - 200x + 4800 = 0
x² - 100x + 2400 = 0
x² - 60x - 40x + 2400 = 0
x(x - 60) - 40(x - 60) = 0
(x - 60)(x - 40) = 0
x = 40, 60 feet
Therefore, widths of Peg's garden will be 40 feet and 60 feet.