236/100, 59/25, or 2 9/25
Step-by-step explanation:
There are 100 cents in a dollar, so 236/100 is your starting fraction. The simplest improper fraction would be 59/25. But if you're looking for a mixed number, you get 2 9/25.
236 cents is equivalent to 118/50 or 2.36 dollars as a fraction of a dollar.
To solve this problem,
We need to convert 236 cents into dollars.
Since there are 100 cents in one dollar,
we can divide 236 by 100 to get the equivalent dollar value.
⇒ 236 cents ÷ 100 cents per dollar = 2.36 dollars
Now that we know that 236 cents is equivalent to 2.36 dollars,
we can express it as a fraction of a dollar.
To do this, we'll use the fact that one dollar is equivalent to 100 cents, which means that one dollar can be expressed as the fraction 100/100.
To find the fraction of a dollar that 2.36 dollars represents,
we'll divide 2.36 by 1.
⇒ 2.36 ÷ 1 = 2.36/1
To express this as a fraction of a dollar,
Multiply both the numerator and denominator by 100 to get,
⇒ (2.36 x 100) / (1 x 100) = 236/100
Simplifying this fraction, we get,
⇒ 236/100 = 118/50
Therefore,
236 cents is equivalent to 118/50 or 2.36 dollars as a fraction of a dollar.
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
Find the value of x.
x = [?]
Answer:
x = 14 units
Step-by-step explanation:
Distance of both the chords from the center of the circle is 9 units.-> Both the chords are equal. (Chords equidistant from the center of the circle are equal)Perpendicular drawn from the center of the circle bisects the chord.-> Measure of one chord = 7 + 7 = 14 unit-> Measure of the other chord = 14 units-> x = 14 unitsWhat is the maximum number of right angles in a triangle that lies on a sphere?
A.
three
B.
two
C.
zero
D.
one
Answer:
A. Three
explanation :
In Spherical Geometry, a triangle can have three right angles!
Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill Two years ago she has been at the hospital for twice as long How long has each been at r=the hospital
Answer:
Hoang has been at the hospital for 12 years while Bill has worked for 7 years.
Step-by-step explanation:
Let the years Hoang has worked as a nurse equal h and let the years Bill has worked as a nurse equal b.
Since Hoang has worked 5 years longer, h is five more than b:
h = b + 5
Now we move onto the situation 2 years ago. 2 years ago, Hoang had worked at the hospital two less than h or h-2 years while Bill has worked for b-2 which is two years less than b. We are also told that at the time, Hoang worked twice as longs, so
h - 2 = 2(b - 2)
This can be simplified:
h - 2 = 2b - 4
h = 2b - 2
We can use substitution. Since h = b + 5 and h = 2b - 2,
b + 5 = 2b - 2
b = 7
Therefore, since Hoang has worked five more years, h = 12. So, Hoang has been at the hospital for 12 years while Bill has worked for 7 years.
Help me please I been trying to figure out how to do this problem
sin 30 = x/4
sin 30 = 0.5
0.5 = x/4
x = 2
Write a quadratic equation in standard form given the roots: -3 and 4/5
Answer:[tex]x^{2}+\frac{11x}{5}-\frac{12}{5}[/tex]
Step-by-step explanation:
The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:
(x+3)(x-4/5)=y
however, this is not standard form. To get standard form we will need to expand the equation using FOIL.
x^2+3x-4x/5-12/5=
x^2+11x/5-12/5
and that would be your answer.
This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.
The numbers of pages in the books in a library follow a normal distribution. If the mean num
pages, what can you conclude?
O A. About 60% of the books have fewer than 150 pages.
OB.
About 16% of the books have fewer than 150 pages.
OC.
About 95% of the books have more than 150 pages.
About 16% of the books have more than 150 pages.
O D.
Reset
Next
Answer:
For the answer to the question above, the numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, you can conclude that about 16% of the books have fewer than 150 pages.
Question 1 of
Select the correct answer.
A rectangular sheet of steel is being cut so that the length is four times the width. The perimeter of the sheet must be less than
100 inches.
length (/)
width (w)
Which inequality can be used to find all possible lengths, I, of the steel sheet?
5/2L > 100
10L < 100
5/2L< 100
10L > 100
Answer:
5L/2 < 100
Step-by-step explanation:
Let's get started!
Let :
⇒ Length = L
⇒ Width = L/4
It mentions the perimeter must be less than 100 inches.
Perimeter Formula :
Perimeter (Rectangle) = 2(Length + Width)
Then, the inequality formed will be :
⇒ 2 (L + L/4) < 100
⇒ 2 (5L/4) < 100
⇒ 10L/4 < 100
⇒ 5L/2 < 100
Length be L
width be L/4
Now
Perimeter=2(Length+Breadth)
2(L+L/4)<1002(5L/4)<1005L/2<100The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 200 meter Relay Swim Teams
Team A
Team B
Mean
127.9 s
127.4 s
Mean Absolute Deviation
0.26 s
0.23 s
The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?
The difference between the mean times is about equal to the mean absolute deviation of the data sets.
The difference between the mean times is about 2 times the mean absolute deviation of the data sets.
The difference between the mean times is about 5 times the mean absolute deviation of the data sets.
The difference between the mean times is about 16 times the mean absolute deviation of the data sets.
The correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
127.9-127.4=0.5
0.26-0.23=0.03
0.5/0.03=16.6666
We can see that the ratio of the mean times difference is 16 times the mean deviation by solving the above.
Therefore the correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
To know more about mean follow
https://brainly.com/question/968894
#SPJ1
Answer: D
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS!!! EVEN IF IT IS WRONG!!!!! Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
Answer:
57 feet
Step-by-step explanation:
A formula is given for the height of the ball, and all of the values necessary to evaluate the formula are also given. The height of the ball after 4 seconds is found by substituting the given values into the formula and doing the arithmetic.
__
height = -16t² +vt +h . . . . . for t=4, v=72, h=25
height = -16(4²) +72(4) +25 = -256 +288 +25 = 57
The height of the ball is 57 feet above the bottom of the hill 4 seconds after it was kicked.
_____
Here's more about evaluating an expression for specific variable values:
https://brainly.com/question/26860222
X 49°
14
i will give points!!
In the given diagram, the length of the side marked x is 21.34
TrigonometryFrom the question, we are to determine the value of the side marked x
In the given diagram,
Hypotenuse = x
Adjacent = 15
Included angle = 49°
Using SOH CAH TOA
We can write that,
cos 49° = 14 / x
∴ x = 14 / cos 49°
x = 21.34
Hence, the length of the side marked x is 21.34.
Learn more on Trigonometry here: https://brainly.com/question/23505834
#SPJ1
(x-4)3/4 = 27
solve for x
Answer:
40
Step-by-step explanation:
Lets put the 3/4 at the beginning and expand this bracket :
3/4(x-4) = 27
3/4x - 3 = 27
Now we add 3 to both sides :
3/4x = 30
Now we times both sides by 4 :
3x = 120
Now we divide both sides by 3:
x = 40
Hope this helped and brainliest please
Which option is an even function?
The correct answer is option D. Which is the even function is f (x) = x⁴.
What is an even function?The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).
let us check the given four options:-
A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)
B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)
C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)
D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)
We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).
Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.
To know more about even functions follow
https://brainly.com/question/2284364
#SPJ1
An eight-sided die is tossed. Determine the odds against rolling an 8.
Reason:
There are 7 outcomes we don't want vs 1 outcome we do want
outcomes we don't want = rolling one of the following {1,2,3,4,5,6,7}
outcome we want = rolling an 8
I need help please ASAP?!!!
Answer:
Its 43.2
I hope this helps ^^
Answer:
43.2
Step-by-step explanation:
kilometers, hectometers, decameters, meters, decimeters, centimeters, millimeters
To go right once multiply be ten
To go left once divide by ten
4.32 • 10 = 43.2
Which of the following statements must be true about parallelogram ABCD?
Options are below
Answer: [tex]\angle A+\angle D=180^{\circ}[/tex]
Step-by-step explanation:
Adjacent angles of a parallelogram are always supplementary.
Perform the given operation and simplify.
(m-2)(m*2+2m-3)
Answer:
=4m^2−11m+6
Step-by-step explanation:
Given algebraic expression:
(m-2)(m•2+2m-3)
To:
Simplify
Solution:
(m−2)(m(2)+2m−3)
=(m)(m(2))+(m)(2m)+(m)(−3)+(−2)(m(2))+(−2)(2m)+(−2(−3)
=2m^2+2m^2−3m−4m−4m+6
=4m^2−11m+6
Five times a number decreased by nine is equal to twice the number increased by 23 which equation could be used to solve the problem
Answer:
(5 • x) - 9 = 2x + 23
A={j,a,c,k,p,o,t} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}, find A′.
Answer:
Answer: {b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}
Step-by-step explanation:
A' = U-A
={b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}
If the area of the region bounded by the curve y^2 =4ax and the line x= 4a is 256/3 Sq units, using integration find the value of a, where a > 0.
The value of a using integration is 2, such that the area of the region bounded by the curve y^2 =4ax and the line x= 4a is 256/3 Sq units
How to determine the value of a?The given parameters are:
Curve, y² = 4ax
Line, x = 4a
Substitute x = 4a in y² = 4ax
y² = 4a * 4a
Take the square root of both sides
y = ±4a
This means that the point of intersection between the line and the curve is (4a, -4a) and (4a, 4a)
Remove the negative interval
So, we have: (4a, 0) and (4a, 4a)
The area is then calculated as
[tex]A =2 \int\limits^{4a}_0 {\sqrt y} \, dx[/tex]
This gives
[tex]A =2 \int\limits^{4a}_0 {\sqrt {4ax}} \, dx[/tex]
Remove the constant
[tex]A = 2\sqrt{4a}\int\limits^{4a}_0 {\sqrt {x}} \, dx[/tex]
Integrate
[tex]A = 2\sqrt{4a} * \frac 23 x^\frac32 |\limits^{4a}_0[/tex]
Evaluate the exponent
[tex]A = 4\sqrt{a} * \frac 23 x^\frac32 |\limits^{4a}_0[/tex]
Expand
[tex]A = 4\sqrt{a} * \frac 23 (4a)^\frac32[/tex]
Rewrite as:
[tex]A = 4 * a^\frac12 * \frac 23 * 4^\frac32 * a^\frac32[/tex]
Evaluate the exponents by the laws of indices
[tex]A = 4 * \frac 23 * 8 * a^2[/tex]
Recall that the area is:
A = 256/3
So, we have:
[tex]\frac{256}3 = 4 * \frac 23 * 8 * a^2[/tex]
Evaluate the quotients
[tex]256 = 4 * 2 * 8 * a^2[/tex]
Divide both sides by 64
4 = a²
Take the square root of both sides
2 = a
Rewrite as:
a = 2
Hence, the value of a is 2
Read more about integration at:
https://brainly.com/question/19053586
#SPJ1
At a basketball game, 6% were supporting the visiting team. If total number of people attending the game was 2500, how many people were supporters of the home team?
There were 2350 people supporting the home team
How to determine the number of supporters?The given parameters are:
Total = 2500
Proportion that supports the visiting team= 6%
Let the number of people that supports the team be x.
So, we have:
x = (1 - Proportion that supports the visiting team) * Total
This gives
x = (1 - 6%) * 2500
Evaluate
x = 2350
Hence, there were 2350 people supporting the home team
Read more about proportions at:
https://brainly.com/question/1781657
#SPJ1
Which expression correctly shows 2x³y - 2y factored completely?
O 2xy(x - 1)(x² + x + 1)
O 2y(x - 1)(x² + x + 1)
O 2(x - y) (x² + xy + y²)
O-2y(x + 1)(x² - x + 1)
Answer:
[tex]2y(x-1)(x^2+x+1)[/tex]
Step-by-step explanation:
[tex]~~~2x^3y-2y\\\\=2y(x^3-1)\\\\=2y(x-1)(x^2+x+1)~~~~~~~~~~;[a^3-b^3 = (a-b)(a^2 +ab+b^2)][/tex]
WILL MARK BRAINLIEST 50 POINTS Find the area of the regular pentagon if the apothem is 7 ft and a side is 10 ft. Round to the nearest whole number.
175 ft2
350 ft2
35 ft2
70 ft2
Answer:
175 ft^2
Step-by-step explanation:
split the pentagon into 5 triangles with base length 10ft and height 7ft. each triangle then has an area of 10 * 7 * 1/2 = 35 ft^2
then the pentagon has an area 35*5 = 175 ft^2
Solve the proportion for b.
54
=
812
b = [?]
Answer:
Step-by-step explanation:
b = 8/2 *4
b = 16
PLS HELP!!! Explain how to use estimation to help find the product of two decimals. Give an example with both estimated and actual answers.
Answer: if you multiply decimals , the estimate value is necessary !
it could be understood easily, if at any place the number exceeds 4 , then the value in front is raised by one !
as;
2.234 = 2.23 , it will remain same but,
2.235 = 2.24 the 3 raised to 5 !!
Step-by-step explanation:
How to convert 1 kg into centigrams
Answer:
[tex]1 ~\text{kg}= 100000~ \text{centigram}.[/tex]
Step-by-step explanation:
[tex]1 ~ \text{kg}\\\\=1000~ \text{g}\\\\=1000 \times 100~ \text{cg}\\\\=100000~ \text{cg}.[/tex]
28) Which of the following sets of ordered pairs does not represent a linear function?
(a) {(1, 2), (3, 4), (4, 5), (6, 7)}
(b) {(0, 3), (1, 5), (3, 9), (1, 13)}
(c) {(2, 2), (3, 3), (4, 4), (5,5)}
(d) {(1, 2), (2, 2), (3, 5), (4, 8)}
Answer: D
Step-by-step explanation:
Answer: Choice D
Plot the points given for choice D. See below.
It is impossible to draw a single straight line through all of the points.
Therefore, this set of points do not represent a linear function.
x^2+ 4x +29=0 solve the quadratic equation by completing the square.
Answer + Step-by-step explanation:
x² + 4x + 29 = 0
⇔ [x² + 4x] + 29 = 0
⇔ [x² + 4x + 4 - 4] + 29 = 0 (just add and subtract 4)
⇔ [x² + 4x + 4] - 4 + 29 = 0
⇔ (x + 2)² - 4 + 29 = 0 (Replace x² + 4x + 4 by (x + 2)²)
⇔ (x + 2)² + 25 = 0
⇔ (x + 2)² = -25 impossible because (x + 2)² > 0 and -25 < 0
Then there is no solution to the quadratic.
Please help I will give the most points
The function h(x) = 1/4|x| is a transformation of the absolute value parent
function, F(x) = |x|. Which graph shows h(x)?
The graph of the dilated absolute value function can be seen below.
How to get the graph of h(x)?
We know that h(x) = (1/4)*f(x), where f(x) is the parent absolute value function.
Then we have a vertical dilation of scale factor k = 1/4. Then the graph of h(x) wil be four times wider than the parent absolute value function.
The graph of h(x) is the one you can see below. Where there is also the graph of f(x) so you can compare them.
If you want to learn more about dilations:
https://brainly.com/question/3457976
#SPJ1
You are asked to prepare a prescription for an Antihistamine 12.5mg/5ml elixir. What is the percent strength of the medication?
Answer:
1) 0.25%
Step-by-step explanation:
Ratio= weight in g/ volume in ml
1. percent strength = 12.5× 10-³g /5ml × 100%
=0.25%
Answer:
0.25%
Step-by-step explanation: Convert mg to g (1g = 1000mg)
12.5mg/1000mg = 0.0125g/5ml ( 0.0025) x 100 = 0.25%