9514 1404 393
Answer:
Oscar
Step-by-step explanation:
On the face of it, you can see that the number of kilometers representing a given distance is greater than the number of miles. (152 > 95)
This means the constant of proportionality (a) in the equation ...
k = am
must be greater than 1. You can find its value by solving this equation for 'a' and using the table entries for k and m:
a = k/m = 152/95 = 8/5 = 1.6
The correct relation is ...
k = 1.6m . . . . . Oscar wrote the correct equation
What is the sum? 4(^5sqrt x^2y)+3(^5sqrt x^2y)
Answer:
[tex]4( \sqrt[5]{ {x}^{2} y} ) + 3( \sqrt[5]{ {x}^{2}y } ) \\ [/tex]
factorise out the 5th root of x²y :
[tex] = \sqrt[5]{ {x}^{2}y } (4 + 3) \\ = 7( \sqrt[5]{ {x}^{2} y} )[/tex]
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Water flows out of a hose at a constant rate. After 2 1/3 minutes, 9 4/5 gallons of water have come out of the hose. At what rate, in gallons per minute, is water flowing out of the hose?
Time taken: 2[tex]\frac{1}{3}[/tex] minutes = 7/3 minutes
Water released: 9[tex]\frac{4}{5}[/tex] gallons = 49/5 gallons
Rate of water flowing out:
Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)
plugging the given values
Rate = [tex]\frac{\frac{49}{5} }{\frac{7}{3} }[/tex] = [tex]\frac{49}{5} * \frac{3}{7}[/tex]
Rate = 21/5 = 4.2 gallons/minute
Answer:
Time taken: 2\frac{1}{3}
3
1
minutes = 7/3 minutes
Water released: 9\frac{4}{5}
5
4
gallons = 49/5 gallons
Rate of water flowing out:
Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)
plugging the given values
Rate = \frac{\frac{49}{5} }{\frac{7}{3} }
3
7
5
49
= \frac{49}{5} * \frac{3}{7}
5
49
∗
7
3
Rate = 21/5 = 4.2 gallons/minute
Step-by-step explanation:
i hope it helps
suppose an object traveling in a straight line has a velocity function given by v(t)= t^2 -8t+ 15 km/hr. Find the displacement and distance traveled by the object from t=2 to t=4 hours.
v=t^2-8t+15
It has upper limit 4 and lower limit 2[tex]\boxed{\sf {\displaystyle{\int}^b_a}x^ndx=\left[\dfrac{x^{n+1}}{n+1}\right]^b_a}[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int}}vdt[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int^4_2}}t^2-8t+15[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-8\dfrac{t^2}{2}+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-4t^2+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{4^3}{3}-4(4)^2+15(4)\right)-\left(\dfrac{2^3}{3}-4(2)^2+15(2)\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-64+60\right)-\left(\dfrac{8}{3}-16+30\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-4\right)-\left(\dfrac{8}{3}+14\right)[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-4-\dfrac{8}{3}-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-\dfrac{8}{3}-4-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{46}{3}-18[/tex]
[tex]\\ \sf\longmapsto s=15.3-18[/tex]
Take it +ve[tex]\\ \sf\longmapsto s=|-2.7|[/tex]
[tex]\\ \sf\longmapsto s=2.7km[/tex]
I need help ASAP thanks!
The decimal for the first one is 0.4, and the fraction is 2/5.
The second one is also 0.4 and 2/5.
Yes, this means that both of these models are equal to each other. This is because Model 1 is equal to 4/10, while Model 2 is equivalent to 40/100. 4/10 is the same thing as 40/100, though. It's just a little bit more simplified, but the fully simplified answer would be 2/5.
So, therefore, the final answer is that both of these models are equal.
Anyways, I hope that this has helped you.
2) For a negative number, x, is the absolute value of x a positive number or a negative number? Explain.
Answer:
A positive number.
Step-by-step explanation:
Absolute value means that no matter if the number is positive or negative, it will always be positive, e.g. | -4 | would be 4 or | 4 | would also be 4.
An insurance company’s records indicate that the mean compensation paid to clients claiming on motor insurance is R10 800 with standard deviation R2 500. Suppose that 50 claims are made within one week. What is the probability that the mean compensation paid is less than R10 200?
Answer:
10800
Step-by-step explanation:
which statement below correctly describes the diagram
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Answer:
(a) the diagram is incorrect
Step-by-step explanation:
There is no overlap between the sets of rational and irrational numbers. The diagram is incorrect.
Find the perimeter and area of a rectangle of cardboard measuring 11.3 cm by 14.8 cm.
Area of rectangle = Length * Width
Length = 11.3 cmWidth = 14.8 cmArea = 11.3 cm * 14.8 cm
Area = 167.24
PerimeterPerimeter of rectangle = 2 (L + W)
Length = 11.3 cmWidth = 14.8 cmPerimeter = 2 (11.3 cm + 14.8 cm)
Perimeter = 2 (26.1 cm)
Perimeter = 52.2 cm²
Final AnswerArea of rectangle is 167.24 cm²
Perimeter of rectangle is 52.2 cm²
Find the measure of ∠2.
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Answer:
(a) 103°
Step-by-step explanation:
The trapezoid is isosceles, so left-side angles are congruent to right-side angles. That is, ∠2≅∠3.
Each side of the trapezoid is a transversal between two parallel lines. The interior angles of the trapezoid are "consecutive interior angles", so are supplementary.
∠2 = ∠3 = 180° -77° = 103°
Solve (x - 2 < 5) ∩ (x + 7 > 6).
Ø
{x | x < -1 x < 7}
{x | -1 < x < 7}
x - 2 < 5 ⇒ x < 7
x + 7 > 6 ⇒ x > -1
Together, we have -1 < x < 7, which in set notation is
[tex]\left\{x \mid -1 < x < 7\right\}[/tex]
(third choice)
Suppose carpet for a 12ft by 14ft room costs $400 find the cost to carpet a room 48ft by 56ft
Answer:
[tex]\$\ 6400[/tex]
Step-by-step explanation:
1. Approach
The easiest way to solve this problem is to find the area of the first room with the dimensions of (12ft) by (14ft). Then one will divide the cost of carpeting the room by the area of the room, this will yield the price of carpeting per square foot. After finding the price of carpeting per square foot, one will find the area of the second room, with the dimensions of (48ft) by (56ft). Finally, one will multiply the price per square foot of carpeting by the area of the second room to find the price for carpeting the second room.
2. Find the area of the first room
Assume that the first room is a rectangle. the following formula can be used to find the area of a rectangle,
[tex](length)(width)=Area[/tex]
The following are the dimensions of the given room,
[tex]length = 14\\width = 12[/tex]
Substitute into the formula to find the area and simplify to solve,
[tex](length)(width)=Area[/tex]
[tex](14)(12)=Area_1[/tex]
[tex]168=Area_1[/tex]
3. Find the price of carpeting per square foot
To find the price of carpeting per square foot, divide the total price for carpeting the first room by the area of the first room.
[tex]\frac{carpeting\ price_1}{area_1}[/tex]
[tex]=\frac{400}{168}[/tex]
Simplify,
[tex]=\frac{400}{168}[/tex]
[tex]=\frac{50}{21}[/tex]
4. FInd the area of the second room
Assume that the second room is also a rectangle. Use a similar strategy to find the area of this room as used for the area of the first room.
[tex](length)(width)=Area[/tex]
[tex]length = 48\\width = 56[/tex]
Substitute and simplify to sovle,
[tex](length)(width)=Area[/tex]
[tex](48)(56)=Area_2[/tex]
[tex]2688=Area_2[/tex]
5. Find the price for carpeting the room
Multiply the area of the room by the price for carpeting per square foot to find the price for carpeting the second room.
[tex](Area_2)*(carpeting\ price)[/tex]
[tex]2688=Area_2[/tex]
[tex]\frac{50}{21}=carpeting\ price[/tex]
[tex](Area_2)*(carpeting\ price)[/tex]
[tex]=(2688)*(\frac{50}{21})[/tex]
Simplify to solve,
[tex]=(2688)*(\frac{50}{21})[/tex]
[tex]=(2688)*(\frac{50}{21})[/tex]
[tex]=6400[/tex]
HELP PLS!! D:
The net of a rectangular prism is shown below. What is the total surface area of this prism?
A. 112 cm²
B. 142 cm²
C. 105 cm²
D. 71 cm²
=========================================================
Explanation:
Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.
To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.
------------------------------
The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.
Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas
3*7 = 21 cm^25*7 = 35 cm^23*7 = 21 cm^25*7 = 35 cm^2I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.
The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15
Lastly, we'll add up the sub-areas to get the grand total
A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area
------------------------------
Another pathway to the answer:
If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions
L = 7 cmW = 5 cmH = 3 cmThe order of L,W,H doesn't really matter.
Then we can use the 3D block surface area formula like so
SA = 2*(LW + LH + WH)
SA = 2*(7*5 + 7*3 + 5*3)
SA = 2*(35 + 21 + 15)
SA = 2*71
SA = 142 cm^2 is the surface area
As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.
please help me ill give all points
Answer:
you go this! i ant expain but its mostly false and rue but sorry
Step-by-step explanation:
At a grocery store, you want to buy 4 1/10 lb of turkey. What decimal should the digital scale show? The digital scale should show .
This is because the fraction 1/10 turns into 0.1
Note that in 0.1, the "1" is in the tenths place to represent "one tenth".
Any mathematician am giving brainliest for this question
9514 1404 393
Answer:
(x, y) = (1/2, 1)
Step-by-step explanation:
Subtract twice the second equation from the first to eliminate the x-variable.
(2/x +3/y) -2(1/x -4/y) = (7) -2(-2)
11/y = 11 . . . . . . . simplify
y = 1 . . . . . . . . multiply by y/11
__
Substituting into the second equation gives ...
1/x -4/1 = -2
1/x = 2 . . . . . . add 4
1/2 = x . . . . . . multiply by x/2
The solution is (x, y) = (1/2, 1).
_____
Additional comment
The attached graph seems to show that the graphs of the two equations also intersect at (x, y) = (0, 0). However, careful consideration of these equations leads to the conclusion that x=0 and y=0 are not in the domain of either equation. (Division by 0 is undefined.) So, the only solution is (x, y) = (1/2, 1).
If you were to multiply both equations by xy to eliminate fractions, you would, indeed, arrive at the conclusion that (x, y) = (0, 0) is a solution. As we noted, that "solution" is extraneous. Whenever you multiply an equation by an expression that can have the value 0, you need to be careful to exclude any "solution" that makes that expression 0.
in a survey of 120 people it was found that 65 people like Messi and 60 like Ronaldo while 20 donot like both. by drawing Venn diagram find the number of people who like both Messi and Ronaldo
Answer:
15.
(P.S: Messi is the greatest footballer of all time) :)
To get the number of people who like both Messi and Ronaldo, you will add the two figures and the remain 20 that is not in the box minus x =120
The length of a rectangle is 10 meters more than its width. If the perimeter of the rectangle is 80 meters, find the dimensions of the rectangle
Answer:
Step-by-step explanation:
L = w + 10
w = w
P = 2w + 2L
P = 80 m
2L + 2w = 80 Substitute for L
2(w + 10) + 2w = 80 Remove the brackets
2w + 20 + 2w = 80 Combine on the left
4w + 20 = 80 Subtract 20 from both sides
4w = 80 - 20
4w = 60 Divide by 4
w = 60/4
w = 15
L = 15 + 10 = 25
Check
2*25 + 2*15
50 + 30
80
So this checks
Helppppppp pleaseeee
HELPP
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
Answer:
Given [tex]f(x)=2x^3+4[/tex], the average rate of change of [tex]f[/tex] on the interval [tex][4,6][/tex] is [tex]152[/tex]
Step-by-step explanation:
Applying the average rate of change formula, we find[tex]\frac{f(6)-f(4)}{6-4}=\frac{2\cdot6^3+4-2\cdot4^3-4}2=\frac{432-128}2=\frac{304}2=152[/tex]
A sample of single celled marine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 600,000 cells. Calculate the per capita rate of increase (r) for the population.
9514 1404 393
Answer:
r ≈ 19.6% per day
Step-by-step explanation:
The growth of the population can be modeled by ...
P = P0 × (1 +r)^t
where P0 is the initial population, r is the growth rate (per day), and t is the number of days. Using the given numbers, we can find r to be ...
600,000 = 100,000 × (1 +r)^10
6^(1/10) = 1 +r
r = 6^0.1 -1 ≈ 0.196231
The growth rate per day is about 19.6%.
A housepainter buys 40 gallon-size cans of paint for $920. Some of these are blue paint that cost $30 per gallon and the rest are white paint that cost $20 per gallon. How many gallons of white paint does the painter buy?
Answer:
28
Step-by-step explanation:
x=blue
y=white
x+y=40
30x+20y=920
30(x+y=40) ; 30x+30y=1200___[1]
30x+20y=920 ; 30x+20y=920___[2]
[1]-[2] : 30x+30y-30x-20y=1200-920
10y=280
y=28
painter buys 28 white gallons
The total number of elements in the power set of a set A containing ‘n’ elements is
Step-by-step explanation:
Number of Elements in Power Set - For a given set S with n elements, number of elements in P(S) is 2^n. As each element has two possibilities (present or absent), possible subsets are 2x2x2.. n times = 2^n. Therefore, power set contains 2^n elements.
Express 750 grams as a percentage of 3 kilograms
[tex]750[/tex] grams is [tex]25%[/tex][tex]%[/tex] percentage of [tex]3[/tex] kilograms.
PercentageA percentage is a number or ratio that represents a fraction of [tex]100[/tex].
How to find the percentage?[tex]\text{Percentage}=\dfrac{\text{actual value}}{\text{total value}}\times 100[/tex]
[tex]3[/tex] kilograms = [tex]3000[/tex] grams
So, the required percent = [tex]\frac{750}{3000}[/tex] × [tex]100[/tex] = 25
Thus, [tex]750[/tex] grams is [tex]25%[/tex][tex]%[/tex] percent of [tex]3[/tex] kilograms.
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Ernie writes this problem:
525 divided by 1500
Which expressions represent Ernie's problem?
Select each correct answer.
1500|525
525
____
1500
525Divied by 1500
525|1500
1500
____
525
Answer:
Pretty sure it would be 525/1500
Step-by-step explanation:
Read the problem outloud and you would hear that 525 is divided BY 1500, so 525 goes on top of the line since it is being divided by 1500. hope this helps!
Answer:
525 ÷ 1500
1500/525
525
-------
1500
are the correct answers.
Step-by-step explanation:
How many solutions are there to the equation below?
5x + 48 + 7 x = 12(x + 4)
A. 1
B. Infinitely many
C. 0
COM
what is a radian measure of a 75° angle?
Answer:
1.309
Step-by-step explanation:
75° =the radian of 1.309
hope it's right have a great day!
Answer:
[tex] \frac{5 {\pi}^{c} }{12} [/tex]
Step-by-step explanation:
Radian measure of 75°
[tex] = 75 \times \frac{ {\pi}^{c} }{180 \degree} \\ \\ = \frac{5 {\pi}^{c} }{12} [/tex]
Is quadrilateral DEFG a parallelogram? Why or why not?
Question 2 options:
A)
Yes, because adjacent angles aren't supplementary.
B)
No, because adjacent angles aren't congruent.
C)
There isn't enough information.
D)
Yes, because opposite angles are congruent.
Answer:
D ig?
Step-by-step explanation:
Because opposite angles are equal in parallelogram
Select the TRUE statement below regarding aggregate supply in the long and short run.
O if production is below the LRAS, it will eventually have to fall back.
In the long run, changes in price will affect output.
O In the short run, there is no relationship between price level and RGDP.
O The discovery of new resources can cause the LRAS curve to move.
C. ....................
Regarding aggregate supply in long and short run (C) is the correct option.
What is aggregate supply ?The whole supply of goods and services produced within an economy at a certain overall price in a given period is known as aggregate supply, also known as total output.
What is the TRUE statement below regarding aggregate supply in the long and short run ?
During short run there is no relationship between price level and RGDP.
The intersection of the aggregate demand and short-run aggregate supply curves determines real GDP and price level in the short run. However, keep in mind that in the near run, sticky pricing may impede the economy from attaining its natural level of employment and output.
Hence we can say that In the short run, there is no relationship between price level and RGDP , (c) option is the correct answer.
Learn more about the aggregate supply at
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Kelsey solved the following equation:
7x − one over two (8x + 2) = 6
Step Work Justification
1 7x − 4x − 1 = 6
2 3x − 1 = 6
3 3x = 7
4 x = 7 over 3
Which of the following has all of the correct justifications Kelsey used to solve this equation?
Question 8 options:
1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality
1. Distributive property 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality
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Answer:
(a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Replacement of -1/2(8x +2) by -4x -1 is use of the distributive property, eliminating choices B and D.
In step 3, addition of 1 to both sides of the equation is use of the addition property of equality, eliminating choice C. This leaves only choice A.
_____
Additional comment
This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.
In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.
In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as addition, and adding negative numbers as subtraction.
Answer:1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Solve UW. how do I get the answer?
Answer:
UW = 67
Step-by-step explanation:
UW = 6x - 35
VW = 4x - 20
UV = 19
So that means
4x - 20 + 19 = 6x - 35
4x - 1 = 6x - 35
-1 = 2x - 35
34 = 2x
x = 17
6(17) - 35
102 - 35 = 67
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
19 + ( 4x - 20 ) = 6x - 35
4x - 1 = 6x - 35
2x = 34
x = 17
UW = 6(17) - 35 = 67