Answer:
Number of dollars bills that can be fitted in Olympic pool = 1.67 billion.
Step-by-step explanation:
The dimensions of a dollar bill are 15.5956 cm by 6.6294 cm by 0.010922 cm. The U.S. federal government spent $3.8 trillion in fiscal year 2011.
An Olympic swimming pool is 50 m long, 25 m wide, and 1.5 m deep. How many Olympic pools would be filled by the dollar bills spent by the U.S. federal government in 2011
From above,
The volume for the dimension of the dollar bill = 15.5956 cm × 6.6294 cm × 0.010922 cm
The volume for the dimension of the dollar bill = 1.12922 cm³
The volume for the dimension of the dollar bill = 1.12922 × 10⁻⁶ m³
The volume of the pool = 50 m × 25 m × 1.5 m
The volume of the pool = 1875 m³
Number of dollars bills that can be fitted in pool = volume of the pool/volume of the dimension of dollar bills
Number of dollars bills that can be fitted in Olympic pool =1875 m³ / 1.12922 × 10⁻⁶ m³
Number of dollars bills that can be fitted in Olympic pool = 1,660,438,180
Number of dollars bills that can be fitted in Olympic pool = 1.67 billion.
Can someone please help me with this !! ❤️
Answer:
(x, y) → (x + 6, y + 13)
Step-by-step explanation:
Let's use one of the points to determine the transition:
Coordinates of D = (-5, -7)Coordinates of D' = (1, 6)Transition:
x' - x = 1 - (-5) = 6 y' - y = 6 - (-7) = 13So the rule is:
(x, y) → (x + 6, y + 13)Answer:
up 13 , right 6
Step-by-step explanation:
up 13 , right 6
E(-8,-3)
right 6 for x : -8+6=-2
up 14 for y : -3+13=10
E'(-2,10)
for D : (-5,-7)
right 6 : -5+6=1
up 13 : -7+13=6
D'(1,6) and E'(-2,10)
The total number of points scored during 10 football games are shown below 45,47,23,30,27,31,21,31,22,38 select the correct five-number summary from the data set
Answer:
[tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].
Step-by-step explanation:
The given data set is
45, 47, 23, 30, 27, 31, 21, 31, 22, 38
Arrange the data is ascending order.
21, 22, 23, 27, 30, 31, 31, 38, 45, 47
Divide the data in 4 equal parts.
(21, 22),23, (27, 30),( 31, 31), 38, (45, 47)
Now,
Minimum value = 21
First quartile, [tex]Q_1=23[/tex]
Median, [tex]M=\dfrac{30+31}{2}=30.5[/tex]
Third quartile, [tex]Q_3=38[/tex]
Maximum value = 47
Therefore, the five-number summary for the given data set is [tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].
Ben and Sam are diving in a lake at 14 feet below the surface been spot Sam 9 feet directly below him find sams depth
Answer:
23
Step-by-step explanation:
1
14
+ 9
--------
2 3
hope this helps
The depth of Sam's from the surface is 23 feet.
We are given that Ben and Sam are diving in a lake.
Ben and Sam are 14 feet below the surface.
But after a while, Ben spots Sam 9 feet directly below him.
We have to find sam's depth from the surface.
Let the depth at which both Ben and Sam were diving in the lake be X.
i.e X = 14 feet.
Let the depth of Sam from Ben be Y.
i.e Y = 9 feet.
Now Sam's depth from the surface would be:
= X + Y
= 14 + 9
= 23 feet.
Thus, the depth of Sam's from the surface is 23 feet.
Learn more about addition word problems here:
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a saleswoman earns 60% commission on all that she sells. Last month she sold $400 worth of merchandise. How much commission (In dollars) did she earn last month?
Answer:
$240
Step-by-step explanation:
If she earns 60% commission, that means she only earns 60% of all sales. So if you take that 60% or (.60) you can multiply that 400 by .60, that equates to 240.
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}. 27 71 121
Answer:
Step-by-step explanation:
h(2)= 2
g(2)= 3(2) + 2 = 6 + 2 = 8
f(8)= 2(8) - 1 = 16 - 1 = 15
Answer:
27
Step-by-step explanation:
Set up the composite result function.
F(G(H(x)))
Evaluate F(G(H(x))) by substituting in the value of H into G.
Multiply 3 by x^2
F(G(x2))=F(3x2+2)
Evaluate F(G(x)) by substituting in the value of G into F
F(3x2+2)=2(3x2+2)-1
Simplify each term.
Apply the distributive property.
F(3x2+2)=2(3x2)+2⋅2-1
Multiply 3 by 2
F(3x2+2)=6x2+2⋅2-1
Multiply 2 by 2
F(3x2+2)=6x2+4-1
Subtract 1 from 4
F(3x2+2)=6x2+3
Evaluate the result function by replacing x with 2 in the function.
6(2)2+3
Simplify the evaluated function.
Simplify each term.
Raise 2 to the power of 2
6⋅4+3
Multiply 6 by 4
24+3
27
what valúe of x solves the equation?
5+x-6x=-5
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5 + x - 6x = - 5}[/tex]
Collect like terms
⇒[tex] \sf{5 - 5x = - 5}[/tex]
Move 5 to right hand side and change it's sign
⇒[tex] \sf{ - 5x = - 5 - 5}[/tex]
Calculate
⇒[tex] \sf{ - 5x = - 10}[/tex]
Divide both sides of the equation by -5
⇒[tex] \sf{ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} }[/tex]
Calculate
⇒[tex] \sf{x = 2}[/tex]
Hope I helped!
Best regards!!
Answer:
[tex]\Huge \boxed{x=2}[/tex]
Step-by-step explanation:
[tex]5+x-6x=-5[/tex]
Combining like terms.
[tex]5-5x=-5[/tex]
Subtracting 5 from both sides.
[tex]-5x=-10[/tex]
Dividing both sides by -5.
[tex]x=2[/tex]
Solve for r. 7(r+1) = 20.3
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{r = 1.9}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{7(r + 1) = 20.3}[/tex]
Distribute 7 through the parentheses
⇒[tex] \sf{7r + 7 = 20.3}[/tex]
Move 7 to right hand side and change it's sign
⇒[tex] \sf{7r = 20.3 - 7}[/tex]
Subtract 7 from 20.3
⇒[tex] \sf{7r = 13.3}[/tex]
Divide both sides of the equation by 7
⇒[tex] \sf{ \frac{7r}{7} = \frac{13.3}{7} }[/tex]
Calculate
⇒[tex] \sf{r = 1.9}[/tex]
Hope I helped!
Best regards!!
r is 1.9
Solve 7(r+1) = 20.3
Remove the brackets by dividing both sides by 7:
7(r+1) / 7 = 20.3 / 7
r + 1 = 2.9
Take 1 to the other side so that you can be left with r. When you do this, the sign will change from positive to negative:
r = 2.9 - 1
r = 1.9
r is therefore 1.9
Find out more at https://brainly.com/question/17289311.
I NEED HELP PLEASE HELP ME
Answer:
Step-by-step explanation:
y - 5 = 8
y = 13
10x=15 find value of x
Answer:
x= 1.5
Step-by-step explanation:
According to the question
10x = 15
x = 15 / 10
x = 1.5
Answer:
x=1.5
Step-by-step explanation:
Isolate x on one side of the equation by dividing both sides by the factor 10:
[tex]10x=15\\\frac{10\,x}{10} =\frac{15}{10}\\x=1.5[/tex]
iverse of f (x)= 3x
Answer:
Divide −x - x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x3 f - 1 ( x ) = - x 3 is the inverse of f(x)=−3x f ( x ) = - 3 x
Is the difference of two rational numbers always a rational number? Explain.
Answer:
yes, the subtracting of two rational numbers is like subtracting two fractions, and the result will always be a fraction which is a rational number. (All rational numbers is a number that can be represented as a fraction)
Step-by-step explanation:
a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial
Answer:
5
Step-by-step explanation:
a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial
A polynomial with one quadratic obtains the forms ( ax² +bx +c ) with 3 linear factors.
Suppose the three linear fractions are :
(x- P) (x-Q) (x- R)
∴
The polynomial = ( ax² +bx +c )(x- P) (x-Q) (x- R)
By factorization, the highest degree of the polynomial = 5
Pattern y: Starts at 0. Rule: Add 6. The values of Pattern x and Pattern y are graphed on a coordinate graph. Some of the ordered pairs for this pattern are (0,0), (3,6),(6,12), and (9,18). Which ordered pair also belongs to this pattern?
A.(12,24)
B. (15,24)
C.(12,36)
D.(1,6)
Answer:
A (12, 24)
Step-by-step explanation:
The pattern in the ordered pair is (Add 3, Times itself)
what is 0.7x in fraction form
Answer:
7/10x hope it helps
what is the percentage of the total variation in candy bar sales explained by the regression model? a. 78.39% b. 88.54% c. 100% d. 48.19%
Complete question :
A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:
City - - - - - Price ($) -- - Sales
River City - - 1.30 - - - - - - 100
Hudson - - - 1.60 - - - - - 90
Ellsworth - - - 1.80 - - - - - 90
Prescott - - - - 2.00 - - - - 40
Rock Elm - - 2.40 - - 38
Stillwater - - 2.90 - - 32
Answer:
78.39%
Step-by-step explanation:
what is the percentage of the total variation in candy bar sales explained by the regression model?
The question could be interpreted as meaning the percentage of the total variation in the dependent variable (candy bar sales) which can be explained by the regression model. Hence the independent variable is price. This variance can be known by calculating the Coefficient of determination (R^2) value of the regression model.
To save computation time, the R^2 value can be obtained using an online Coefficient of determination calculator.
To obtain the R^2 value, the values of the dependent and independent variables are entered. The R^2 value obtained is : 0.7839
Therefore the total proportion of variance in candy bar sales explained by the regression model is 0.7839 which is equivalent to:
(0.7839 * 100) = 78.39%
The area of a rectangle is the product of its length and width. Both length and width are whole numbers. A rectangular poster has an area of 204 square inches. The width of the poster is greater than 10 inches and is prime. What is the width of the poster?
Answer:
17 inches.
Step-by-step explanation:
If the area of a rectangle is the product of its length and width, then;
Area of a rectangle = Length × Width
Given that the width of the poster is greater than 10 inches and is prime, this means and W>10
Area of the rectangle = 204in²
On substituting the values in the formula;
A = LW
204 = LW
Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.
Let's test each values of the prime width that will give a length that is a whole number.
If W = 11
204 = 11×L
L = 204/11
L = 18.54
Since the length didn't give us a whole number, this means our width is not 11.
If W = 13
204 = L × 13
L = 204/13
L = 15.69
Also, we can see that the length is not also a whole number for the value of 13 as the prime width.
If W = 17
204 = L × 17
L = 204/17
L = 12
It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.
Answer:17 inches
Step-by-step explanation:
John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.
Answer:
he could by 2 pounds and still have a dollar left over because
15 11 6
-4 -5 -5 so yeah
11 6 1
Three students need to produce a prime factorization of 48. Donna states that the first factors in the tree should be 6 and 8. Larry states that the first factors in the tree should be 4 and 12. Trish states that the initial factors of 48 do not affect the prime factorization. Explain why Trish is correct. Why is trish correct?
Answer:
Below.
Step-by-step explanation:
The initial factors do not affect the prime factorisation.
Continuing the factorisation will lead to the same result whichever initial factors you choose.
48
4 * 12
2*2 * 2*2*3
= 2*2*2*2*3
48
6 * 8
2*3 * 2*2*2
= 2*2*2*2*3.
Answer:
A prime factorization is the product of the prime numbers that multiply to give the original number. 48 will have a prime factorization of 2(2)(2)(2)(3), or 24(3), regardless of the initial factors.
Step-by-step explanation:
It is correct!
Answer in simplest form -4/15 + 1/6 =
Answer:
The answer is -0.1
Step-by-step explanation:
You just need to calculate it in a calculator
Hope it helps :)
Mr smith and mr stein were driving to a buisness meeting 250 miles from their office. Mr Smith drove the first x miles, then Mr Stein drove the rest of the way. Write an algebric expression for how many miles mr stein drove
Please Help ASAP it's my Math HW
Step-by-step explanation:
Use segment addition/subtraction:
GK = GJ − HJ + HK
GK = 2x + 5 − x + 4x − 1
GK = 5x + 4
If GK = 39, then the value of x is:
39 = 5x + 4
5x = 35
x = 7
Use segment subtraction to find GH and JK.
GH = GJ − HJ
GH = 2x + 5 − x
GH = x + 5
GH = 12
JK = HK − HJ
JK = 4x − 1 − x
JK = 3x − 1
JK = 20
Can you please help me with this I will give you a Brainly list and it’s so hard
Answer:
-4-5
Step-by-step explanation:
The temp was at -4 and if it dropped that means you subtract another 5 from it which is -4-5
Answer:
The correct answer is -4 - 5.
Step-by-step explanation:
The original temperature is -4 degrees. Then, the temperature falls by 5 degrees. The temperature "falling" means that it is getting colder or that the temperature is getting lower. This lets us know that we need to use subtraction. The final answer is -4 - 5, which would give us the temperature of -9 degrees as the new temperature.
Hope this helps!
If you were to describe a rotation of triangle ABC what information would you need to include in your description
You would need to include the center of rotation. For many problems, the center is usually the origin (0,0). This is a default assumed center. Though the center could easily be any other point.
In addition, you also need the amount of rotation that is being applied (eg: 90 degrees).
The last bit of info you need is whether you're going clockwise or counterclockwise. For 180 degree rotations, it doesn't matter, but for everything else it does matter.
Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed 0.8 Mbps.
0.1 0.2 0.2 0.2 0.4
0.4 0.4 0.5 0.5 0.6
0.7 0.8 0.8 0.9 0.9
1.5 1.5 1.6 1.9 1.9
1.9 1.9 2.1 2.4 2.6
2.7 2.8 3.2 3.6 4.5
4.9 5.4 5.8 6.1 6.4
6.6 7.1 9.6 10.9 11.2
11.8 12.1 12.6 13.3 13.8
14.5 14.5 14.9 15.8 28.7
Find the decimal equivalent to 4 15 .
Divide 4 by 15:
4/15 = 0.2666666
Some of the possible rounding are: 0.267, 0.27 or 0.30
1. Original Sentence: My friend Cody can eat a sandwich faster than any human or animal I have ever seen. New Word: Definition: Two synonyms also considered:
Answer:
My friend Cody can eat a sandwich swiftlier than any human or animal I have ever seen.
The square root of ____________ like 4, 9, and 16 is a _________ number.
Answer:
The square root of numbers like 4, 9, and 16 is a square number.
Can you please help me I will give out extra points.
—4 + (—19) can u help me plz
Answer:
-23
Step-by-step explanation: Because when you are adding to negatives together, they add up forward, not backword.
Melinda poured herself 20 ounces of orange juice for breakfast. By the end of her meal, she only has 4 ounces left. What scale factor represents the amount of orange juice she has left ?
Answer:my profile pic is a throwing dart not a ding dong dirty
Step-by-step explanation: