Answer:
1/250
Step-by-step explanation:
Final answer:
To convert the recurring decimal 0.004 into a fraction, you can set up an equation by writing 0.004 = x and solve for x to find the fraction.
Explanation:
To convert the recurring decimal 0.004 into a fraction, we need to understand the concept of converting decimals to fractions. We can do this by setting up an equation where the decimal is equal to a fraction, and then solving for the fraction. In this case, we can set up the equation 0.004 = x, where x is the fraction we're trying to find. To eliminate the decimal, we can multiply both sides of the equation by 1000, which gives us 4 = 1000x. Now, we can divide both sides of the equation by 1000 to solve for x, which gives us x = 4/1000. Simplifying the fraction gives us x = 1/250. Therefore, the recurring decimal 0.004 can be written as the fraction 1/250.
What is the value of X?
These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:
x + 40 = 3x
Combine like terms
(x-x) + 40 = 3x - x
40 = 2x
Isolate x
40/2 = 2x/2
x = 20
Hope this helped!
Please do help I'm very confused
Answer: 1,760 centimeters
Step-by-step explanation: Your Answer is above
Solve the equation for x: c a−x/x−a =5x Answer: , a ≠ − 1/5
Answer:
[tex]\large\boxed{x=-\dfrac{1}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{a-x}{x-a}=5x\\\\\dfrac{(a-x)}{-(a-x)}=5x\qquad\text{cancel}\ (a-x)\\\\-1=5x\qquad\text{divide both sides by 5}\\\\-\dfrac{1}{5}=\dfrac{5x}{5}\to\boxed{x=-\dfrac{1}{5}}[/tex]
What is the simplified
square root of 130??
I’m really stuck
Answer:
The square root of 130 would be 11.4017543. Rounding to the nearest tenth, we would get 11.4, because the value 0 is below 5. Rounding 11.4 to the nearest whole number, we would get 11, because the value 4 is below 5. So either 11 or 11.4 works, depending on if you are looking for a decimal or a whole number.
Hope this helps ya :D
Final answer:
The simplified square root of 130 is √130 and cannot be further simplified using integers as 130 does not have pairs of identical prime factors.
Explanation:
The question asks for the simplified form of the square root of 130. To simplify a square root, you want to factor the number under the square root into its prime factors and look for pairs of identical factors, because the square root of a pair of identical factors is just that number. In this case, 130 = 2 x 5 x 13, and since there are no pairs of identical factors, we cannot simplify it further without using a decimal or fractional answer. Therefore, the simplified square root of 130 is √130, which cannot be further simplified using integers.
What is the value of f(15) for the given function? What does this value mean in the context of the situation you described in part a?
Answer:
[tex]f(15)=525\ ft^{2}[/tex]
f(15) is the area of the rectangular garden for a width of 15 ft
Step-by-step explanation:
we know that
[tex]f(x)=x(2x+5)[/tex]
where
x----> is the width of the rectangular garden
(2x+5) ----> is the length of the rectangular garden
so
f(15) -----> is the value of f(x) for x=15 ft
That means
f(15) is the area of the rectangular garden for a width of 15 ft
substitute the value of x and solve
[tex]f(15)=15(2(15)+5)[/tex]
[tex]f(15)=525\ ft^{2}[/tex]
Answer:f(15) is the area of the rectangular garden for a width of 15 ft
Step-by-step explanation:
we know that
where
x----> is the width of the rectangular garden
(2x+5) ----> is the length of the rectangular garden
so
f(15) -----> is the value of f(x) for x=15 ft
That means
f(15) is the area of the rectangular garden for a width of 15 ft
substitute the value of x and solve
Step-by-step explanation:
Find the measure of each interior angle of a regular convex dodecagon. Show equations and all work that leads to your answer.
The exterior angles to any convex polygon sum to 360 degrees in measure, so that for a regular dodecagon (12-gon) each exterior angle has measure
[tex]\dfrac{360^\circ}{12}=30^\circ[/tex]
Exterior angles are complementary to interior angles, which means each interior angle has measure
[tex]180^\circ-30^\circ=\boxed{150^\circ}[/tex]
which statements are true about the ordered pair (-1,5) and the system of equations x+y=4 x-y=-6
Answer:
A) x+y=4
B) x-y=-6
We add both equations and get
2x = -2 so x = -1
and y = 5
So the ordered pair (-1, 5) is the solution to the equations.
Step-by-step explanation:
what is the slope of a line that is perpendicular to the line shown?
*please help
Answer:
[tex]m=\frac{3}{4}[/tex]
Step-by-step explanation:
We can use the slope formula in order to find the slope of the line
[tex]m=\frac{-2-2}{0-(-3)} \\m=\frac{-4}{3}[/tex]
For a line to be perpendicular, it must have a slope that is the negative reciprocal, so that means that we swap the numerator and denominator and then multiply it by -1, this means that
[tex]m=\frac{-4}{3}\\\\m=\frac{3}{-4} \\\\m=\frac{-3}{-4} \\\\m=\frac{3}{4}[/tex]
A moving person travels 24 feet in 7 seconds.The moving sidewalk has a length of 180 feet.how long will it talk to move from one end of the sidewalk to the other
Answer:
=53 seconds.
Step-by-step explanation:
24ft=7sec
180
180 x 7
_______=52.5=53
24
618 runners registered for the marathon. Of these runners 0.8% completed the race in under 2 hr 15 min. a) how many runners completed the race in this time?
EXPLAIN HOW TO SOLVE THIS
Answer:
Exact = 4.944 Rounded = about 5 Reality = 4 since there can’t be 99.4% of an human.
Step-by-step explanation:
0.8/100 = x/618
618(0.8) = 100x
494.4 = 100x
/100. /100
x = 4.944
The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
618 runners registered for the marathon. Of these runners, 0.8% completed the race in under 2 hr 15 min.
Let "N" be the number of runners who completed the race. Then the equation is given as,
0.8% = (N / 618) x 100
0.008 = N / 618
N = 0.008 x 618
N = 4.944
N ≈ 5
The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.
More about the percentage link is given below.
https://brainly.com/question/8011401
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y is two times the value of x
The equation is y=
Y=2x should be correct
Y is two times the value of X, which can be represented as Y = 2X.
This indicates a directly proportional relationship between Y and X, where Y increases as X increases.
10 points help due tomarrow
Answer:
[tex]\boxed{0.2}[/tex]
Step-by-step explanation:
Convert [tex]\dfrac{12}{60}[/tex] to a decimal
Step 1. Reduce the fraction to its lowest terms.
Divide both numerator and denominator by their greatest common factor (12)
[tex]\dfrac{12}{60} =\dfrac{1}{5}[/tex]
Step 2. Convert the denominator to a power of 10
Multiply both numerator and denominator by 2.
[tex]\dfrac{1}{5} \times \dfrac{2}{2} = \dfrac{2}{10}[/tex]
Step 3. Divide the numerator by the denominator
Dividing by 10 moves the decimal point one place to the left.
[tex]\dfrac{2}{10} = \boxed{0.2}[/tex]
If. F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)
Answer:
[tex](f + g) (2) = -4[/tex]
Step-by-step explanation:
We have the functions
[tex]F(x) =-3x^2-2[/tex]
And
[tex]g(x)=4x+2[/tex]
We want to find [tex](f + g) (x)[/tex]
Then
[tex](f+g)(x) = f(x) + g(x)\\\\(f+g)(x) = -3x^2-2 + 4x+2\\\\(f+g)(x)= -3x^2 +4x[/tex]
finally we find [tex](f + g) (2)[/tex]
[tex](f + g) (2) = -3(2)^2 + 4(2)\\\\(f + g) (2) = -3*4 + 8\\\\(f + g) (2) = -12+ 8\\\\(f + g) (2) = -4[/tex]
Answer:
(f+g)2 = 20
Step-by-step explanation:
18. if F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)?
We know, (f+g)2= f(2) + g(2)
We will put 2 in the place of x for f(x) and g(x) and then find their result.
Solving:
(f+g)2= f(2) + g(2)
=3(2)^2 -2 + 4(2) +2
= 3(4) -2 + 8 +2
= 12 -2 +8 +2
= 20
So, (f+g)2 = 20
If the area of BAC=8, what is the area of EDF. Enter a decimal rounded to the tenths.
PLEASE NEED HELP
Answer:
4.5 in²
Step-by-step explanation:
Given that the triangles are similar then
linear ratio of corresponding sides = 3 : 4, then
ratio of corresponding areas = 3² : 4² = 9 : 16
let the area of ΔEDF be x then by proportion
[tex]\frac{x}{9}[/tex] = [tex]\frac{8}{16}[/tex] ( cross- multiply )
16x = 72 ( divide both sides by 16 )
x = 72 ÷ 16 = 4.5
Area of ΔEDF = 4.5 in²
Which function is the inverse of (x) = -5x-42
Answer:
f-1(x) = (-1/5)x - 42/5
Step-by-step explanation:
f(x) = -5x - 42
Switch the x and y
x = -5y - 42
solve for y
-5y = x + 42
y = (-1/5)x - 42/5
Please answer right away
Answer:
0.42
Step-by-step explanation:
There are 12 different paths to the end. Five of those paths lead to money.
p(winning money) = 5/12 = 0.42
What is the value of -5(3+4)
-35
First, add the contents of the parentheses. 3 + 4 = 7. This gives you -5 * 7.
Now, just multiply. -5 * 7 = -35, so -35 is the answer.
please help . tjjhhhhhhhh
Answer:
19 - 8√3
Step-by-step explanation:
(-4 + √2)^2
= (-4)^2 + 2(-4)(√3) + √3)^2
= 16 - 8√3 + 3
= 19 - 8√3
Answer:
D
Step-by-step explanation:
note that ([tex]\sqrt{3}[/tex] )² = 3
Given
(- 4 + [tex]\sqrt{3}[/tex] )² = (- 4 + [tex]\sqrt{3}[/tex])(- 4 + [tex]\sqrt{3}[/tex])
Expand using (a + b)² = a² + 2ab + b²
= (- 4 )² + 2(- 4[tex]\sqrt{3}[/tex] ) + ( [tex]\sqrt{3}[/tex] )²
= 16 - 8[tex]\sqrt{3}[/tex] + 3
= 19 - 8[tex]\sqrt{3}[/tex]
In a circle with a 12-inch radius, find the length of a segment joining the mid-point of a 20 inch cord and the center of the circle
Check the picture below.
Footware manufacturing is projected to decrease output by 8.4% from 2006 to 2016. If footware manufacturing had 1.8 billion dollars of output in 2006, approximately how much output is expected in 2016?
Answer:
The output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion
Step-by-step explanation:
The output is decreased by 8.4% from 2006 to 2016.
Amount of output in 2006 = 1.8 billion dollars
Decrease in output = 8.4%
We need to find the 8.4% of 1.8 billion dollars and then subtract the result from 1 billion dollars.
We know 1.8 billion = 1,800,000,000 or 1.8 x 10^9
8.4% of 1.8 billion = 8.4/100 * (1.8 x 10^9)
= 151200000
So, Output expected in 2016 = 1.8 x 10^9 - 151200000
= 1648800000 or 1.6488 x 10 ^9
So, the output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion.
Answer:
It would be D
Step-by-step explanation:
$1.65 billion
What is the smallest prime factor of 1821?
Answer: 3×607
Step-by-step explanation:
Prime factor is a number that can be divided by itself and 1 to get the quotient 0. so according to 1821 this can be divided by 1 and 3 to get a 0 quotient so because 1(unique number ) is not considered as a prime factor 3 is the answer for this question.
What are the solutions of the equation 4x+21=−(13)x+4+6 ?
Answer is -11/17.
I've attached an image to show you how I got this answer.
11/17 THERE YOU GO YOU ARE WELCOME
How do I solve this?
Check the picture below.
Jerry has 61 percent on khan. She needs to get 100 percent in one week. How much percent should she get each night to reach her goal of 100%??????????.
Answer:
She would need to complete 5.57 each noght to reach her goal of 100%.
Step-by-step explanation:
39/7 is equal to 5.57
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 m³. What is the volume of the sphere? 6 m² 7 m³ 14 m³ 28 m³
Answer: Third option
[tex]V_s=14\ m^3[/tex]
Step-by-step explanation:
The volume of a sphere is:
[tex]V_s=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere
The volume of a cylinder is:
[tex]V_c = \pi r ^ 2 h[/tex]
Where h is the height of the cylinder and r is the radius
We assume that the height of the sphere is its diameter or 2 times its radius.
Then [tex]2r = h[/tex]
[tex]V_c= 21\ m^3=\pi r ^ 2 h[/tex]
[tex]V_c= 21\ m^3=\pi r ^ 2(2r)[/tex]
We solve the equation for r
[tex]\frac{21}{2\pi}=r ^ 3\\\\r= \sqrt[3]{\frac{21}{2\pi}}\\\\r=1.495\ m[/tex]
The radius of the cylinder is equal to the radius of the sphere
Finally
[tex]V_s=\frac{4}{3}\pi (1.495)^3[/tex]
[tex]V_s=14\ m^3[/tex]
A car cost $20,000 when it was purchased. The value of the car decreases by 8% each year. Find the rate of decay each month and select the correct answer below. −0.006924% −0.006667% −0.666667% −0.0081%
To find the monthly rate of decay, we convert the annual decay rate of 8% to a monthly rate using the formula for compound interest. The monthly rate comes out to be approximately -0.6734%, which is closest to the provided option of -0.667%.
To find the monthly rate of decay for a car that depreciates 8% annually, we should convert the annual decay rate to a monthly decay rate assuming compound interest. This calculation involves using the formula for converting an annual percentage rate to a monthly rate when compounded monthly:
Monthly rate = [tex](1 + Annual rate)^(1/12)[/tex] - 1
Substitute the given annual rate of decay (-0.08 or -8%) into the formula:
Monthly rate = [tex](1 - 0.08)^(1/12)[/tex] - 1
This calculation gives us:
Monthly rate = [tex](0.92)^(1/12)[/tex] - 1
Approximately -0.006734
Expressed as a percentage, the monthly rate of decay is approximately -0.6734%, which means the correct answer is not exactly presented in the choices. However, the closest value from the options provided is -0.667%.
the art museum charges $13 for each adult admission and $8 for each child the total bill for the 182 people from a achool trip was $1606 how many adults and children went to the museum?
Answer:
152 kids and 30 adults
Step-by-step explanation:
To solve this, we must create a system of equations
Suppose:
x = the number of adults
y = the number of children
We know that a total of 182 people attended the trip.
So:
x + y = 182
This equation represents the number of people attending the trip.
To find out the cost, look at the problem.
It costs 13$ for one adult and 8$ for a child.
So:
13x + 8y = 1606
This equation represents the total cost to attend the museum. Now, we must solve.
[There are two ways to solve a system of equations, substitution and adding/subtracting. I will use adding and subtracting. The steps to solving the system of equations is in the photos below]
The final answer is 152 kids and 30 adults
I hope this helps!!! :)
I need help please?!!!!!):
The mean is the average, add the numbers together and divide by the quantity of numbers:
10 + 12 + 15 + 12 + 13 + 11 + 10 + 13 = 96
96 / 8 = 12
The mean is 12
The median is the middle value.
Rearrange the numbers from smallest to largest:
10 , 10 , 11 , 12 , 12 , 13 , 13 , 15
There are an even amount of numbers, so find the middle two values, add together and divide by 2:
12 + 12 = 24 /2
Median = 12
Can someone please help me with this question please.
Step-by-step explanation:
[tex](a)\\h-\text{number of hours}\\\\8\dfrac{1}{5}\cdot h=32\dfrac{4}{5}\\(b)\\\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{8\cdot5+1}{5}h=\dfrac{32\cdot5+4}{5}\\\\\dfrac{41}{5}h=\dfrac{164}{5}\qquad\text{multiply both sides by 5}\\\\41h=164\qquad\text{divide both sides by 41}\\\\h=4[/tex]
[tex]\text{Answer:\ 4\ hours}[/tex]
How do you do this?
Express the area of a rectangle with length 5m4 and width 6m2 as a monomial
To express the area of a rectangle as a monomial, multiply the length and width. This gives 30m6.
Explanation:The area of a rectangle is calculated by multiplying its length and width. For a rectangle with length 5m4 and width 6m2, to express the area as a monomial, you multiply these two together. So, the area A = 5m4 * 6m2.
In terms of exponents, when we multiply terms with the same base (in this case, m), we add up the exponents. Thus, A = 30m4+2 = 30m6. Therefore, the area of the rectangle expressed as a monomial is 30m6.
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