Answer:
23,000,550
Step-by-step explanation:
A million has six zeroes, so twenty three million is
23,000,000
Since five hundred fifty is not in the thousands, it replaces the last trio of zeroes.
We have the number in standard form as
23,000,550
Answer:
23000550
Step-by-step explanation:
An architect was designing a rectangular room with a length of 16 feet, a width of 14 feet,
and a height of 10 feet.
What is the volume, in cubic feet of the room?
Show your work
cubic feet
Answer
The architect changed his design and added 2 feet to the length and width of the room.
In cubic feet, how much greater is the volume of the room in his new design?
Show your work
cubic feet
Answer
Hurrryyy knowww
Answer:
(1) 16 x 14 x 10 Room: 2240 ft^3.
(2) How much greater the 18 x 16 x 10 Room is: 640 ft^3.
Step-by-step explanation:
To find the volume of a given space, all we need to do is multiply length*width*height. In this case, the values are 16*14*10, which equals 2240 ft^3.
The changed design would have a volume of 18*16*10, which would equal 2880 ft^3.
To find the difference in volume between the two rooms, all we have to do is subtract the smaller room from the bigger room. 2880 - 2240 = 640 ft^3.
PLS HELP !! Is the following a fair sampling of the contents of the jar? Why?
Pour a 2” layer of lentils into a jar. Then pour a 2” layer of kidney beans into the jar. Then pour a 2” layer of pinto beans into the jar. Stir the contents of the jar well. Then pull out a handful of beans.
Because the P-value is ____ than the significance level 0.05, there ____ sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α= 0.05.
Do the results suggest that imported lemons cause carfatalities?
a. The results suggest that an increase in imported lemons causes car fatality rates to remain the same.
b. The results do not suggest any cause-effect relationship between the two variables.
c. The results suggest that imported lemons cause car fatalities.
d. The results suggest that an increase in imported lemons causes in an increase in car fatality rates.
Answer:
H0 : correlation is equal to 0
H1 : correlation is not equal to 0 ;
Pvalue < α ;
There is sufficient evidence
r = 0.945 ;
Pvalue = 0.01524
Step-by-step explanation:
Given the data :
Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230 15.8
264 15.6
359 15.5
482 15.3
531 14.9
Using technology :
The regression equation obtained is :
y = 16.3363-0.002455X
Where, slope = - 0.002455 ; Intercept = 16.3363
The Correlation Coefficient, r = 0.945
H0 : correlation is equal to 0
H1 : correlation is not equal to 0 ;
The test statistic, T:
T = r / √(1 - r²) / (n - 2)
n = 5 ;
T = 0.945 / √(1 - 0.945²) / (5 - 2)
T = 0.945 / 0.1888341
T = 5.00439
The Pvalue = 0.01524
Since Pvalue < α ; Reject the Null and conclude that there is sufficient evidence to support the claim.
The bowling alley and the swimming pool both offer birthday party rentals the bowling alley coast $5 per person plus a $15 room rental fee. The swimming pool costs $4 per person plus a $12 room rental fee.you have $40 at which location can you invite more people
Answer:
Swimming pool
Step-by-step explanation:
Let's say that we invite x people. The cost of the bowling alley will be $15 for the room, and we add $5 dollars for each person. Therefore, we can represent the cost of the bowling alley as
5 * x + 15
Similarly, the cost of the swimming pool is
4 * x + 12
To find the maximum of the function, one thing we can do is set the expressions of the cost equal to 40. This will give us the amount of people we can invite for exactly 40 dollars. Because cost increases with amount of people, this will give us the maximum number of people we can invite with $40.
We thus have
5 * x+ 15 = 40
subtract 15 from both sides to isolate the x and its coefficient
25 = 5 * x
divide both sides by 5 to isolate x
25/5 = x = 5
We can therefore invite 5 people to the bowling alley
4 * x+ 12 = 40
subtract both sides by 12 to isolate the x and its coefficient
28 = 4 * x
divide both sides by 4 to isolate x
x = 7
Therefore, we can invite 7 people to the swimming pool. As 7 > 5, we can invite more people to the swimming pool.
A quicker way to solve this could be by looking at the cost of each location. Because the bowling alley costs more both per person and for the room, and there is no way to decrease the cost except by decreasing the amount of people, there is no way that the bowling alley could get as many people as the swimming pool with the same amount of money
How many ways are there to choose three distinct integers between 1 and 20 inclusive such that the numbers form an arithmetic sequence?
*please try to answer by tomorrow/
Answer:
probability of the product of the chosen integers being a multiple of 3 is P(E)= 1 - (91/285)
=194/285 or 0.6807.
Step-by-step explanation:
The sample space of all possible choices of three integers from the set {1,2,…..,20} has C(20,3) = (20×19×18)/3! elements.
The complement of the event space E consists of all possible choices of three integers from the complement of the set of all the multiples of 3 in the above set because the product of the chosen integers is a multiple of 3 if and only if at least one of them is a multiple of 3. Hence we have to choose three elements from the set {1,2,4,5,7,8,10,11,13,14,16,17,19,20} which has 14 elements.
Hence
|E'| = C(14,3)
= 14×13×12/3!.
Therefore probability P(E')
= |E'|/|S|
= (14×13×12)/(20×19×18)
= (14×13×2)/(20×19×3)
=(7×13)/(5×19×3)
= 91/285.
Therefore the required probability of the product of the chosen integers being a multiple of 3 is P(E)= 1 - (91/285)=194/285 or 0.6807.
A certain bell rings every 60 minutes. Another Bell rings every 90 minutes. Both bells begin ringing at midnight (12:00 a.m). How many more times will both bells ring by 1 p.m
Answer in picture
….
In the picture below, which lines are lines of symmetry for the figure?
A. only 2
B. 1, 2, and 3
C. 2 and 4
D. 1 and 3
Answer:
Option C
Step-by-step explanation:
2 and 4 makes the figure look symmetrical
The required lines of symmetry are 2 and 4. option C is correct.
A given picture line of symmetry is to be determined from 1, 2, 3, and 4.
the line is a curve showing the shortest distance between 2 points.
A line of symmetry is defined as the line that draw across any curve or shape, The curve and shape have equal proportion across the line, that line is called the line of symmetry.
Clearly, from observation, it is seen that line 1 and line 3 does not have the same proportion of area across it, so this is not a line of symmetry.
Line 2 and line 4, is lines of symmetry because it has equal proportion of the area across it.
Thus, the required lines of symmetry are 2 and 4. option C is correct.
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A lighthouse casts a
revolving beam of light as far as the pier. What
is the area that the light covers?
Answer:
First, let's find how far away the pier is.
Using the distance formula, we can see that the pier is [tex]\sqrt{58}[/tex] units away.
So, the radius is sqrt 58.
Area = pi (r)^2
So, the area is 182.82 square units.
Let me know if this helps!
We have that The area that the light covers is is mathematically given as
[tex]A=\pi x^2[/tex]
From the Question we are told that
Revolving beam of light as far as the pier
Let distance to pier be x
Generally the revolving beam turns a complete angle of 360
Therefore
Its goes in a circle
The area that the light covers is is mathematically given as
[tex]A=\pi r^2[/tex]
[tex]A=\pi x^2[/tex]
In conclusion
The area that the light covers is is mathematically given as
[tex]A=\pi x^2[/tex]
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∫∫D(x2 + y2 + 2020)dxdy D: x2 +y2 +2ax ≤ 0 (a > 0)
Answer:
good morning
Step-by-step explanation:
hope u have a nice day
If 1100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Round to two decimal places if necessary.
volume= a^2 * h
area= a^2+4ah
take the second equation, solve for h
4ah=1100-a^2
h=1100/4a -1/4 a now put that expression in volume equation for h.
YOu now have a volume expression as function of a.
take the derivative, set to zero, solve for a. Then put that value back into the volume equation, solve for Volume.
Cited from jiskha
please help me with geometry
Answer:
x = 5Step-by-step explanation:
triangol BCD = triangle BDA
so
3x - 1 = 34 - 2x
5x = 35
x = 35 : 5
x = 5Answer:
x = 7
Step-by-step explanation:
BD is an angle bisector , so
∠ ABD = ∠ DBC , that is
3x - 1 = 34 - 2x ( add 2x to both sides )
5x - 1 = 34 ( add 1 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
There is a path of width 2.5 m inside around a square garden of length 45m.
(a) Find the area of the path.
(b) How many tiles will be required to pave in the path by the square tiles of length 0.5m? Find it.
Help ! 도와주세요, 제발 :(
Answer:
2.5+2.5+45+45
=95.0m
therefore area of the square= 95.0m
45m×0.5=45.5÷95=
Step-by-step explanation:
2.5m
2.5 m tiles are required
[tex]area = 2.5 \times 45 = 192.5 \: squared \: cenimetre \\ \\ no \: of \: tiles = 0.5 \times 0.5 = 0.25 \\ 192.5 \div 0.25 = 770tiles[/tex]
Convert the following equation
into standard form.
y = 7 - 7x
[?]x + y = []
Answer:
[tex]y = 7 - 7x \\ y + 7x = 7 \\ 7x + y = 7[/tex]
Answer:
7x + y = 7
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = 7 - 7x ( add 7x to both sides )
7x + y = 7 ← in standard form
Select the correct answer from each drop-down menu.
The table represents function f, and the graph represents function g.
-2
- 1
1
2
3
4
0
х
Ax)
7
0
-5
-8
-9
-8
-5
у
A
6
4
2
g
X
.
-21
2
2
The line of symmetry for function fis
and the line of symmetry for function gis
The y-intercept of function fis
the y-intercept of function g.
Over the interval [2, 4], the average rate of change of function fis
the average rate of change of function g.
Answer:
Line of symmetry of f is x=2 and the line of symmetry for function g is x=1 as the graph starts repeating itself after x=1. Y intercept is the point at which x is 0, for f it is - 5 and for g it is - 6. Rate of change in interval [2,4] is given by (f(4)-f(2))/2=2 for f and for g it is, (g(4)-g(2))/2=-4
The true statements are:
The line of symmetry for function f is x = 2The line of symmetry for function g is x = 1The y-intercept of function f is -5The y-intercept of function g is -6Over the interval [2, 4], the average rate of change of function f is half the average rate of change of function g.Line of SymmetryThis is the point where the function is divided into equal halves.
From the figure, the table and graph are divided at points x = 2, and x = 1.
So, the line of symmetry for function f is x = 2 and the line of symmetry for function g is x = 1
Y-InterceptThis is the point where the function has an x value of 0
From the figure, the y values when x = 0 are -5 and -6
So, the y-intercept of function f is -5 and the y-intercept of function g is -6
Average rate of changeThis is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
For function f, we have:
[tex]m = \frac{-5 + 9}{4-2}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
For function g, we have:
[tex]m = \frac{2+ 6}{4-2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m = 4[/tex]
By comparison,
[tex]m_f = 0.5 \times m_g[/tex]
Hence, over the interval [2, 4], the average rate of change of function f is half the average rate of change of function g.
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Infues Gentamicin 100 mg in 100ml in 15 minutes. What will you set the infusion pump at ml/hr
9514 1404 393
Answer:
400 mL/h
Step-by-step explanation:
The required rate is ...
(100 mL)/(1/4 h) = 100×(4/1) mL/h = 400 mL/h
A family has a day of 7 activities planned: shopping, picnic, hiking, swimming, bike ride, video games, and movie. To make it more adventurous they decide to randomly pick the order of the activities out of a hat. Find the probability that bike ride and movie are chosen consecutively, in either order.
Answer:
[tex]Pr= \frac{1}{21}[/tex]
Step-by-step explanation:
Given
[tex]n(S) = 7[/tex] --- number of games
Required
Probability of bike and movie in consecutive order
This probability is represented as:
[tex]Pr = P(Bike\ and\ Movie) \ or\ P(Movie\ or\ Bike)[/tex]
So, we have:
[tex]Pr = P(Bike\ and\ Movie) \ +\ P(Movie\ or\ Bike)[/tex]
The probability is an illustration of selection without replacement;
So, we have:
[tex]P(Bike\ and\ Movie) = P(Bike) * P(Movie)[/tex]
[tex]P(Bike\ and\ Movie) = \frac{n(Bike)}{n(S)} * \frac{n(Movie)}{n(S) - 1}[/tex] ---- without replacement
Bike and Movie appear in the game list 1 time.
So, the equation becomes
[tex]P(Bike\ and\ Movie) = \frac{1}{7} * \frac{1}{7 - 1}[/tex]
[tex]P(Bike\ and\ Movie) = \frac{1}{7} * \frac{1}{6}[/tex]
[tex]P(Bike\ and\ Movie) = \frac{1}{42}[/tex]
Similarly,
[tex]P(Movie\ and\ Bike) = \frac{1}{42}[/tex]
So, we have:
[tex]Pr = P(Bike\ and\ Movie) \ +\ P(Movie\ or\ Bike)[/tex]
[tex]Pr= \frac{1}{42}+\frac{1}{42}[/tex]
Take LCM
[tex]Pr= \frac{1+1}{42}[/tex]
[tex]Pr= \frac{2}{42}[/tex]
[tex]Pr= \frac{1}{21}[/tex]
The cylinders shown are similar. What is the volume of the larger cylinder?
Step-by-step explanation:
Ratio of height (large to small) = ratio of radii (large to small).
(h / 14) = (8 / 2)
h / 14 = 4
h = 56
The height of the larger cylinder is 56m.
Volume of cylinder is
V = πr2h
V = π(8)2(56)
V = 3584π
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it.
[infinity]
â« e^-1.3x dx
1
solve for x ! please help . (show work)
Answer:
x = -3
Step-by-step explanation:
12 - 4x-5x = 39
Combine like terms
12 - 9x = 39
subtract 12 from each side
12 -9x-12 = 39-12
-9x = 27
Divide by -9
-9x/-9 = 27/-9
x = -3
150 is 40% of what number
Step-by-step explanation:
hope it helps youu.........
on a particular day, a man spent 12 minutes more driving to his office than driving home. His average speed from home to office is 12km/h and from office to home is 60m/h .How far is the man home to his office
Answer:
distance between home and office = 3 km
Step-by-step explanation:
Show that Reſiz) = -Im(z)
Step-by-step explanation:
[tex]re(i(x + yi) = - im(x + yi) \\ re(xi - y) = - im(x + yi) \\ - y = - (y) \\ - y = - y \\ proved \: is \: correct[/tex]
plez halppp mehh ;-;
Answer:
False
True
True
Step-by-step explanation:
Angle 1 cannot be equal to angle 4. Even by just viewing one can see that they can't be equal.
Angle 1 and 2 when combined give a 90 degree angle going from a to c.
Angle 3 and 4 form a 180 degree angle.
HOPE THIS HELPED
how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right. plz answer the question steps by step.
Given: AABC, AC = 5
m C = 90°
m A= 22°
Find: Perimeter of AABC
A
C
B
9514 1404 393
Answer:
perimeter ≈ 12.4 units
Step-by-step explanation:
The side adjacent to the angle is given. The relationships useful for the other two sides are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
From these, we have ...
opposite = 5·tan(22°) ≈ 2.02
hypotenuse = 5/cos(22°) ≈ 5.39
Then the perimeter is ...
P = a + b + c = 2.02 + 5 + 5.39 = 12.41
The perimeter of ∆ABC is about 12.4 units.
Complete the coordinate table for the given equation.
Xy=-4
Step-by-step explanation:
X= -4,-2,2,4 (respectively)
Y=4,-4 (respectively)
hope it helps
Question 6 of 11 Step 1 of 6 No Time Limit The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, û = bo + bjx, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Price in Dollars 23 34 44 46 50
Number of Bids 1 2 4 9 10
Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.
The estimated slope is approximately 2.344
The given table is presented as follows;
[tex]\begin{array}{ccc}Number \ of Bids &&Price \ in \ Dollars\\1&&23\\2&&34\\4&&44\\9&&46\\10&&50\end{array}[/tex]
The regression line formula to be considered = [tex]\bar u = b_0 + b\cdot \bar x[/tex]
The required parameter is;
The estimated slope
The method to find the estimate slope;
The least squares regression formula (method) is presented as follows;
[tex]\bar u = b_0 + b\cdot \bar x[/tex]
Where;
b₀ = The y-intercept
[tex]\mathbf{ b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right) }{\sum \left(x_i - \bar x\right )^2 } = The \ estimated \ slope}[/tex]
From MS Excel, we have;
[tex]\bar x[/tex] = 5.2, [tex]\bar u[/tex] = 39.4
[tex]\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right)[/tex] = 156.6
[tex]{\sum \left(x_i - \bar x\right )^2 }[/tex] = 66.8
Therefore;
The estimated slope, b = 156.6/66.8 ≈ 2.344 (by rounding the answer to three decimal places)
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Simplify the following expression.
3(2k + 3) -8k + 5 + 5
Answer:
Step-by-step explanation:
3*(2k + 3) - 8k + 5 + 5 Remove the brackets on the left
6k + 9 - 8k + 5 + 5 Combine like terms
6k-8k+9 + 5 + 5
-2k + 19
√10 Multiple √15 is equal to
(a) 6√5
(b) √30
(c) √25
step by step
Solve :-
dont answer stantham
[tex]\\ \sf\longmapsto \sqrt{10}\times \sqrt{15}[/tex]
[tex]\\ \sf\longmapsto \sqrt{10\times 15}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2\times 5\times 3\times 5}[/tex]
[tex]\\ \sf\longmapsto \sqrt{5\times 5\times 6}[/tex]
[tex]\\ \sf\longmapsto 5\sqrt{6}[/tex]
None of the above should be 4th option
Find the 100th term of the sequence 4, 7, 10, 13...
a) 301
b) 313
c) 281
d) 279
Answer:
A
Step-by-step explanation:
The first term of the sequence is 4, the common difference is 3. So the equation of this sequence is 4+(n-1)*3 or 1+3*n. Plug in n=100
