Answer:
D
Step-by-step explanation:
It is because work is done when a force cause an object to move in the direction of the applied force.
so work is equal to force × distance
11. Find out price elasticity of demand from the following table:
Price per unit()=8,10
Quantity Demanded (Units)=200,150
Answer:
Price elasticity of demand = 1
Step-by-step explanation:
Old quantity demanded = 200
New quantity demanded = 150
Old price = 8
New price = 10
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
percentage change in quantity demanded = change in quantity demand / old demand × 100
= 50/200 × 100
= 0.25 × 100
= 25%
percentage change in price = change in price / old price × 100
= 2/8 × 100
= 0.25 × 100
= 25%
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
= 25% / 25%
= 1
Price elasticity of demand = 1
A chef cooked 7kg of mashed potatoes for a banquet. If guests only ate 3/4 of the amount he cooked, how much of the potatoes were eaten?
Answer:
5.25 kg of the mashed potatoes were eaten.
Step-by-step explanation:
(3/4) * 7 = 5.25
I hope this is helpful :)
Can someone please exlpain how to do this???
Answer:
40. A c=60
41 B z= 40
Step-by-step explanation:
The sum of the angles in a triangle is 180
40. 61+59+c = 180
Combine like terms
120+c = 180
c = 180-120
c =60
41. 90+50+z = 180
140 +z = 180
z = 180-140
z = 40
What is the simplest shape in Mathematics?
Martas school has 325 desks for 13 classrooms . If the desks are shared evenly how many desks will each classroom have
Answer:
25
Step-by-step explanation:
Determine which equations have the same solution set as 2/3 -x +1/6 = 6x by recognizing properties, rather than solving. Check all that apply.
Answer:
The answer is "0.1190".
Step-by-step explanation:
Given:
[tex]\to \frac{2}{3} -x +\frac{1}{6} = 6x\\\\\to \frac{2}{3} +\frac{1}{6} = 6x+x\\\\\to \frac{4+1}{6} = 7x\\\\\to \frac{5}{6} = 7x\\\\\to x=\frac{5}{6\times 7} \\\\\to x=\frac{5}{42}\\ \\\to x= 0.1190[/tex]
Answer:
A.) 4 - 6x + 1 = 36x
B.) 5/6 - x = 6x
F.) 5 = 42x
Step-by-step explanation:
edge.
The function m is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
m(x) = 2(x +4)^2 – 8
m(x)= 2x^2 + 16x + 24
m(x)=2(x+6)(x+2)
Write one of the zeros
Find the area of this circle. Use 3 for .
A = r2
12 cm
[?] cm2
Answer:
452.16 cm²
Step-by-step explanation:
Given :-
Radius = 12cm .To find :-
Area of circle .Solution :-
As we know that ,
A = πr² A = 3.14 * (12 cm)² A = 3.14 * 144cm² A = 452.16 cm²Step-by-step explanation:
[tex]area = \pi {r}^{2} \\ = \pi \times {12}^{2} \\ = \pi \times 144 \\ = 3.14 \times 144 \\ = 452.16 {cm}^{2} \\ thank \: you[/tex]
Answer the question to get points
Answer:
4. E=4x-15(vertically opposite)
F=E(corresponding angles)
E=4x-15
5.3x+6x+O=180(angles on a straight line)
9x+0=180
9x=180-0
9x/9=180/9
x=20
Jim removed 27 gallons of water from a rainwater storage tank. There are 59 gallons left in the tank. What equation can Jim use to find how much water was in the tank earlier? Use x to represent the amount of water originally in the tank.
Answer: X = 86 gallons
Step-by-step explanation:
X-27=59
X=59+27
Evaluate the expression when x=-6.
x^2-9x+4
Answer:
- 14
Step-by-step explanation:
x = - 6
x^2 - 9x + 4
= ( - 6 )^2 - 9 ( - 6 ) + 4
= 36 + 54 - 4
= 36 - 50
= - 14
Answer:
[tex]94[/tex]
Step-by-step explanation:
[tex]x^2 - 9x + 4[/tex]
[tex](−6 {)}^{2} −9 (−6) + 4[/tex]
[tex]36 − 9 (−6) + 4[/tex]
[tex]36 + 54 + 4[/tex]
[tex]90+4[/tex]
[tex]94[/tex]
Hope it is helpful....The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the negative reciprocal of the slope of the first.
The system described above is represented by the following equations:
Answer:
Hello,
First equation is false
Second equation is true
Step-by-step explanation:
1)
(4,-3) is a point of the line y=4x-19 since
-3=?4*4-19
-3=-3
2)
(4,-3) is not a point of the line y=1/4x-2 since
-3=? 1/4*4-2
-3=? 1-2
-3≠-1
I have written that because it is difficult for me to understand
"the negative reciprocal of the slope of the first"
the negative reciprocal of 4 should be -1/4.
Equation y=1/4x-2 is false.
A survey asked 60 students if they play an instrument and if they are in band.
1.35 students play an instrument.
2. 30 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?
=======================================================
Explanation:
The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.
We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.
This is enough to see that choice A is the final answer
Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.
Kasonga's TV plan costs $59.99 per month plus $5.49 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?
Answer:
7
Step-by-step explanation:
We can solve this problem by making an equation for the monthly bill. First, the cost is $59.99 per month, and that cannot be decreased, so we must add all costs to that amount. Next, it costs $5.49 per first run movie, so for each first run movie, we add $5.49 to the total. Therefore, we can write our equation as
59.99 + 5.49 per first run movie = monthly bill
Representing the number of first run movies as r, we can say
59.99 + 5.49 * r = monthly bill
Next, the monthly bill should be less than or equal to 100, so we can say
monthly bill ≤ 100
59.99 + 5.49 * r = monthly bill ≤ 100
Moreover, we want to maximize r, or the amount of first run movies. Because we add money to the monthly bill for each movie, to maximize r, we have to find the maximum money we can spend on the monthly bill that is still less than or equal to 100. To do this, we set the monthly bill to its maximum limit, or 100, so we have
59.99 + 5.49 * r = 100
subtract 59.99 from both sides to isolate the f and its coefficient
40.01 = 5.49 * r
divide both sides by 5.49 to isolate the variable
r ≈ 7.29
Since we can't buy .29 of a movie, and rounding up to 8 movies would cause us to go past 100 dollars, the maximum movies he can watch if he wants to keep his monthly bill ≤ 100 is 7
Defenation of time, distance and speed
Find the length of BW
Answer:
[tex]BW \approx 132.589[/tex]
Step-by-step explanation:
The given triangle (BWS) is a right triangle. This is indicated by the box around one of its angles, signifying that it is a right angle. One property of a right triangle is the right angle trigonometric ratios. These are a set of ratios that can be used to describe the relationship between the sides and angles in a triangle. These ratios are as follows:
[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the (opposite) and (adjacent) sides are subjective, the sides that are named these terms depend on the angle of reference. However the term (hypotenuse) refers to the sides opposite the right angle of a right triangle, this term is the same no matter the angle used in the ratio.
In this case, one is given the length of the side (SB) and the measure of angle (<W), one is asked to find the length of the side (BW). The best ratio to use in this case is the ratio tangent (tan).
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Substitute,
[tex]tan(9)=\frac{21}{adjacent}[/tex]
Inverse operations,
[tex]tan(9)=\frac{21}{adjacent}[/tex]
[tex]adjacent=\frac{21}{(tan(9))}[/tex]
[tex]adjacent\approx132.688782[/tex]
[tex]BW \approx 132.589[/tex]
What is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
O 100 cm
O 200 cm
O 280 cm?
O 380 cm?
a
Answer:
D
Step-by-step explanation:
380
Solve the following for the value of the pro-numeral:
(c - 7) / 2 = -5
Answer:
[tex] \frac{(c - 7)}{2} = - 5 \\ c - 7 = - 5 \times 2 \\ c - 7 = - 10 \\ c = - 10 + 7 \\ c = - 3[/tex]
I hope I helped you^_^
hi, please solve these three questions for me, i have to shoe solving steps.
question 3
Step-by-step explanation:
i only able to show you the step of question 3..so sorry
In 2010, 1 Canadian dollar cost .56 British pounds and in 2012 it cost .63 British pounds. How much would 1 British pound purchase in Canadian dollars in 2010 and 2012? 2010: 1.78 dollars, 2012: 1.57 dollars 2010: 1.79 dollars, 2012: 1.59 dollars 2010: 1.87 dollars, 2012: 1.65 dollars 2010: 1.97 dollars, 2012: 1.75 dollars
Answer:
2010: 1.79 dollars, 2012: 1.59 dollars
Step-by-step explanation:
In 2010,
1 Canadian dollar = .56 British pounds.
We want to find how many pounds go into a dollar, so we somehow have to make the equation equal to 1 pound. To do this, we can multiply the amount of pounds by its reciprocal to equal 1. To find the reciprocal of a number, we simply divide 1 by it. For .56, this is (1/.56). Therefore, we can multiply both sides by (1/.56) to get
1.79 Canadian dollars = 1 British pound
Similarly, for 2012, we have 1 dollar = .63 pounds. Multiplying both sides by 1/.63, we get
1.59 Canadian dollars = 1 British pound
HEEEEEEEEEEEEEEEEEEELP
Answer:
2 miles per hour
Step-by-step explanation:
To find her walking pace in 'miles per hour' we need to divide the distance (in miles) by the time (in hours).
Speed = Distance/ Time
The time is given in minutes , but 50 minutes = 50/60 hours
=5/6 hours
1 2/3 ÷ 5/6
=5/3 × 6/5 miles per hour
Now cut it
= 2 miles per hour
Write the exponential function that passes through (-1, 27), (0, 9), (1, 3).
Step-by-step explanation:
we see, for x=-1 we get 3³
x=0 we get 3²
x=1 we get 3¹
so the function is definitely a 3 to the power of x version.
but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".
the easiest way : 2-x as exponent.
it fits.
for x=-1 we get 2 - -1 = 3 as exponent.
for x=0 we get 2-0 = 2 as exponent.
for x=1 we get 2-1 = 1 as exponent.
so, the exponential function passing through these 3 points is
[tex]f(x) = {3}^{2 - x} [/tex]
If ? A² + b² = 7b and b² + (2b-a) ²= 7², what is (a - b) ²?
Answer:
7^2+2ab - 4b^2
Step-by-step explanation:
A² + b² = 7b
b² + (2b-a) ²= 7²
FOIL
b^2 +4b^2-4ba+a^2= 7^2
Rewriting
a^2 -2ab + b^2 +4b^2 -2ab = 7^2
Add 2ab and subtract 4b^2 from each side
a^2 -2ab + b^2 +4b^2 - 4b^2 -2ab+2ab = 7^2+2ab - 4b^2
a^2 -2ab + b^2 = 7^2+2ab - 4b^2
(a-b)^2 = 7^2+2ab - 4b^2
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
Answer:
Step-by-step explanation:
SIN TRIG PLEASE HELP 50 POINTS
If sin y° = s/8 and tan y° = s/t what is the value of sec y°
a. sec y° = 8s
b. sec y° = 8t
c. sec y° = 8/t
d. sec y° = t/8
Answer:
C
Step-by-step explanation:
We are given that:
[tex]\displaystyle \sin y^\circ = \frac{s}{8}\text{ and } \tan y^\circ = \frac{s}{t}[/tex]
And we want to find the value of:
[tex]\displaystyle \sec y^\circ[/tex]
Recall that tan(θ) = sin(θ) / cos(θ). Since sec(θ) = 1 / cos(θ), tan(θ) = sin(θ)sec(θ). Substitute:
[tex]\displaystyle \sin y^\circ \sec y^\circ = \frac{s}{t}[/tex]
Substitute:
[tex]\displaystyle \frac{s}{8}\sec y^\circ =\frac{s}{t}[/tex]
Solve for secant:
[tex]\displaystyle \sec y^\circ = \frac{8}{t}[/tex]
Hence, our answer is C.
Answer:
c. sec y° = 8/t
Step-by-step explanation:
I took the test
"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
enjoy it
it best answer for you
A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.
Answer: [tex]4004.76\ ft[/tex]
Step-by-step explanation:
Given
inclination is [tex]\theta=75^{\circ}[/tex]
Mountain is [tex]h=3900\ ft[/tex] high
Cable is tied [tex]x=910\ ft[/tex] from the base of the mountain
From the figure, length of the shortest path is [tex]l[/tex]
It is given by using Pythagoras theorem
[tex]\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft[/tex]
HELP PLS IM FAILING PYTHAGOREAN THEOREM
Answer: 4.6 km
Step-by-step explanation:
a^1 + b^2 = c^2
2^2 + b^2 = 5^2
4 + b^2 = 25
b = sqrt 25 - 4
b = sqrt 21 = 4.6 km
hello! HELP NEEEDED!!!!!!!!!!!
Answer:
$2.50
Step-by-step explanation:
Sally pays 2.5 lbs of chuck for 6.25. We need to convert this to 1 pound, to see how much money it take to equal 1 pound .
Set up proportion.
[tex] \frac{1}{x} = \frac{2.5}{6.25} [/tex]
[tex]2.5 x = 6.25[/tex]
[tex]x = 2.5[/tex]
it takes 2 dollar and 50 cents for 1 lb of ground chuck
Answer:
$2.50
Step-by-step explanation:
In my theory, I suppose that the key word to look at is "per"in the question above. All you need to do is to is to divide $6.25 with 2 1/2 lb
Find the missing segment in the image below
Answer:
10/2=15/?
Step-by-step explanation:
I can help you to your all question but it need time. I have to write short.
?=3
