Answer:
The student played basketball for 40 minutes.
Step-by-step explanation:
Given that one week a student exercised for 2 hours at school and for 2/3 of an hour at home, it can be stated that the student exercised for 2 hours and 40 minutes (since 60 x 2/3 is equal to 40 ). Thus, in total the boy exercised for 160 minutes (2 x 60 + 40).
Now, since he spent 1/4 of that time playing basketball, the time spent doing this sport is determined through the following calculation:
160/4 = X
40 = X
Thus, the student played basketball for 40 minutes.
Answer: 4/9
Step-by-step explanation:
Write the domain and range of each function using interval notation
In a nutshell, the domain and the range of each function are shown below:
Domain: x ∈ [- 4, 4], Range: y ∈ [1, 5].Domain: x ∈ [- 3, 1], Range: y ∈ [-5, - 1].How to find the domain and the range of a function graphically
In this problem we find a picture containing the graphs of two functions, of which we must find both the domain and the range of each expression. The domain of the function corresponds with all values from the horizontal axis such that the function exists, and range of the function with all the values from the vertical axis.
The domain and range of the first function are x ∈ [- 4, 4] and y ∈ [1, 5], respectively.
The domain and range of the second function are x ∈ [- 3, 1] and y ∈ [-5, - 1].
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Help
You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for the list price.
If the listing price for Candy Cane Creek is $864, 550, how much commission would you receive?
Answer: $60,518.50
Step-by-step explanation:
864,500 x 0.07
Answer:
he received commission amount =7% of $778,095=$54466.65
Step-by-step explanation:
commission =7%
marked price=$778,095
commission amount =7% of $778,095=$54466.65
Is the point (8,11) a solution of the equation y = 15x+10?
Answer:
x = ^ y - 10/ 15
Step-by-step explanation:
Omar’s watch shows that he takes 642 steps to walk a lap around his school’s track. If he takes a total of 12,198 steps while walking the track, how many laps does Omar walk? It is one of these.
a)18
b)19
c)20
d)21
Answer:
B. 19
12,198÷642 so the final answer will be 19.
Hellllllpppppppppppppppp Meeeeeeee Plz
1. Given Triangle ABC with A(2, 3), B(0, 6), and C(2,6). Write down the coordinates of the image after the following composition; reflection over the line y = -x followed by a rotation of 90 degrees clockwise.
A"( - 3, 2), B"( - 6, 0), and C"( - 6, 2)
(I don't get number 2-4)
2. Given triangle ABC with A(2, 3), B(0, 6), and C(2,6). Determine if the image A"B"C" is congruent to it's pre-image ABC after the following transformation; dilation of scale factor 1, rotation about the origin of 180 degrees, and a reflection over the line y = -1. Explain your answer.
3. Given triangle ABC with A(2, 3), B(0, 6), and C(2,6). Identify the coordinates of A'B'C' after a dilation centered at the origin having a scale factor of 2.
4. Triangle ABC with A(2, 3), B(0, 6), and C(2,6). Find the area of triangle ABC and its image after a reflection in the origin. What do you notice about the area of the image and its pre-image? Explain
Answer:
Step-by-step explanation:
For #1 and #2 you already have solutions.
#3. A(2, 3), B(0, 6) and C(2,6)
A'(4, 6), B'(0, 12) and C'(4,12)
#4.
[tex]A_{ABC}[/tex] = 3 × 2 ÷ 2 = 3 units²
ΔABC ≅ ΔA'B'C' ⇒ [tex]A_{A'B'C'}[/tex] = 3 units²
What is the slope of a line that passes through (0,5) and (3,2)?
Answer:
undefine
Step-by-step explanation:
slope=2-5/3-0
-2/0
Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk? (Please walk me through the question! With words please so i understand, i don't speak math)
14 units
21 units
28 units
35 units
Answer:
28
Step-by-step explanation:
In this question, the units are just the number of boxes/grid-squares. So count how many boxes they have to walk between each step. You start at the top left location, and go around to all of them counting the boxes they pass.
they should all add up to 28 boxes, or 28 units!
No I need 54 inches of wood to build a picture frame. if the wood cost $2.50 a foot, how much will be pay?
Answer:
135
Step-by-step explanation:
2 x 54 = 108 and .50 x 54 = 27 so 108 + 27 = 135
Simplify the expression: 2/3 (6e+9f-21g)
Answer:
4e + 6f - 14g
Step-by-step explanation:
Translate the sentence into an equation or formula.
The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.
Greetings from Brasil...
Let perimeter = P
then
P = sum of the lengths of sides a, b, and c
P = a + b + cGiven m| n, find the value of x.
Answer:
45°
Step-by-step explanation:
x° = (180 - 135)°
= 45°
Hope this helps
With interior alternate angles and adjacent angles concept, the value of x from the given parallel lines is 45°.
Given that, straight line m parallel to straight line n and t is the transversal.
When a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines. At two different locations, the transversal passes through the two lines that are coplanar.
Here, y=135° (Interior alternate angles are equal)
Now, y°+x°=180° (Adjacent angles on straight line)
135°+x°=180°
x°=45°
Therefore, the value of x from the given parallel lines is 45°.
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The acceleration of gravity on Mars is about 3.7 meters per second squared. Suppose a rock falls from a tall cliff on Mars. Which of the following equations indicates how fast the rock will be falling after 8 seconds?
An equation that indicates how fast (velocity) the rock will be falling after 8 seconds is V = (3.7 × 8) m/s.
Given the following data:
Time, t = 8 seconds.Acceleration of gravity on Mars, a = 3.7 meters per second squared (m/s²).How to determine the velocity of this rock?In order to determine the velocity at which this rock would fall after 8 seconds, we would apply the first equation of motion.
Mathematically, the first equation of motion is given by this formula:
V = u + at
Where:
V represents the final velocity.u represents the initial velocity.a represents the acceleration.t represents the time.Substituting the given parameters into the formula, we have;
V = 0 + 3.7 × 8
V = (3.7 × 8) m/s.
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Complete Question:
The acceleration of gravity on Mars is about 3.7 meters per second squared. Suppose a rock falls from a tall cliff on Mars. Write the equation that indicates how fast the rock will be falling after 8 seconds.
I will give 97 points and the brainliest to the right answer..
Answer:
4.5*10^(4)*(6.8*10^(-8)=3.06*10^-3
(2.8*10^(2)*(6.5*10^(-7)=1.82*10^-4
((5.6*10^(-3))*(7.7*10^(-9)))/((8*10^(-2))*(3.5*10^(-6)))=1.54*10^-4
then the other fraction one equals 9.45*10^-4
Step-by-step explanation:
Solving the first expression, we have:
(4.5⋅10^4)⋅(6.6⋅10^−8)
=30.6⋅10^−4
=3.06⋅10^−3
So the first expression goes into the second box.
For the second one, we have:
(2.8⋅10^2)⋅(6.5⋅10^−7)
=18.2⋅10^−5
=1.82⋅10^−4
So the second expression goes into the first box.
Put the third expression into the fourth box and the fourth expression into the third box
Tommy had a rectangular strip of paper that is 21 cm long. If he cuts it into smaller pieces, each 2 1/3 cm long, how many pieces of paper will he have?
Answer:
The answer is 9.
Explanation: 21÷ 2 1/3= 9
Answer:
9
Step-by-step explanation:
pls can probability be expressed as percentage
PLEASE HELPPPP IM ALMOST DONE IM REALLY SLEEPY AND I HAVE TO DO THIS TEST BEFORE I GO TO BED
Answer:
the tens place
Step-by-step explanation:
just need to know long division
Answer:
In the tens place :)
Step-by-step explanation:
Hope it helps. I am also doing a semester exam and would greatly appreciate if someone would help me with this:
Absolute value of 13+14
Answer:
27
Step-by-step explanation:
13 + 14 = 27
Answer: -13+-14
Step-by-step explanation: the Absolute value is the opposite value of something like 24-57 the absolute value of that would be -24-(-57)
How many laps would be 50 miles on a 2 1/2 mile track?
Answer:
20 laps
Step-by-step explanation:
50/2.5=20
The cost function for a certain company is
C = 70x + 200
and the revenue is given by
R = 100x − 0.5x2.
Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $200.
Hence , the value of x (production level) that will create a profit of $200 are 40 and 20.
We have given cost function C = 70x + 200 and revenue function R = 100x − 0.5x² .
It is given that profit is revenue minus cost.
P = R -C
P = 100x − 0.5x² - 70x - 200
P = 30x − 0.5x² -200 ........(1)
It is also given that it will create a profit of $200 .
Putting P = 200 in equation (1) , we get
200 = 30x − 0.5x² -200
0.5x² - 30x + 400 = 0
Multiplying by 10 we get
5x² - 300x + 4000 = 0
Taking 5 common , we get
x² - 60x + 800 = 0
By splitting in the middle term this equation can be represented by
x² -(40+20)x +800 = 0
(x² - 40x ) - (20x-800) = 0
x(x-40) - 20( x - 40) = 0
(x - 40) (x- 20) = 0
On comparing , we get
x - 40 = 0
x = 40
and x - 20 = 0
x = 20
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find the domain of the graphed function
Answer:
Domain= [0, 13]
Step-by-step explanation:
Domain refers to the possible input values on the x-axis.
while in Manchester, england, chelsea bought a sweater for bitirsh pound 28 . when she returned, she saw the same sweater for C$38. which sweater cost more by how much in canadian dollar show your work pls
The sweater that cost more is the sweater bought in Manchester. It is more expensive by C$7.40.
Which sweater is more expensive?The exchange rate is the price at which one currency is exchanged for another currency. For example, if the exchange rate of the pound and Canadian dollars is 1.60. It means that 1 unit of the pound would buy 1.60 of the Canadian dollars.
The first step is to convert the cost of the sweater that is priced in the British pound to Canadian dollars.
The exchange rate : 1 British pound = 1.6215 CAD
28 X 1.6215 = 45.402
Difference in price = 45.402 - 38 = C$7.402
Based on the above calculation, the sweater when converted from the British pound to the Canadian dollars, it is more expensive to buy the sweater in Manchester than it is to buy it in Canada.
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The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced to a
mass of 5 mg.
What was the initial mass (in mg) of the sample?
What is the mass (in mg) 4 weeks after the start?
You may enter the exact value or round to 4 decimal places
Answer:
A = (Ao)(0.5^(t/t1.2))
1 = (Ao)(0.5^(20/4)) = Ao(0.03125)
Ao = 1/0.03125 = 32mg
5 weeks = 5(7) = 35 days
A = 32(0.5^(35/4)) = 32(0.0232) = 0.074mg
Step-by-step explanation:
[9] X is a Gaussian random variable with variance 0.25. The mean of X is estimated by taking the sample mean of independent samples of X. If the mean needs to be estimated within 0.01 from the actual mean with a confidence coefficient of 0.99, find the minimum number of samples needed in the estimation.
Answer:
The minimum number of samples required is [tex]n = 16641 [/tex]
Step-by-step explanation:
From the question we are told that
The variance is [tex]\sigma^2 = 0.25[/tex]
The margin of error is [tex]E = 0.01[/tex]
From the question we are told the confidence coefficient is 0.99 , hence the level of significance is
[tex]\alpha = (1 - 0.99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the standard deviation is
[tex]\sigma =\sqrt{\sigma^2}[/tex]
=> [tex]\sigma =\sqrt{0.25}[/tex]
=> [tex]\sigma =0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{2.58 } * 0.5 }{0.01 } ] ^2[/tex]
=> [tex]n = 16641 [/tex]
Suppose you and 10 friends are taking a road trip for Spring Break. You plan on visiting multiple museums, national parks, and shopping locales along this trip. Your
road trip will a total of 10 days. You drive a total distance of 5000 miles. Some of the drive your average speed was 45 mph. While the rest of the trip was 70 mph.
1. How many hours were you driving each speed? Round 3 decimals
2. What distance did you drive for each speed? Round 3 decimals
Using the relation between velocity, distance and time, and supposing the group travels for 8 hours a day, it is found that:
1. You were driving 24 hours at 45 mph and 56 hours at 70 mph.
2. You drove 1080 miles at 45 mph and 3920 miles at 70 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
For the first part, we have that:
The velocity is of 45 mph.The distance is of d.The time is of t.Hence:
v = d/t
45 = d/t
d = 45t.
For the second part, we have that:
The velocity is of 70 mph.The distance is of 5000 - d.The time is of 80 - t. (10 days of 8 hours driving = 80 hours).Hence:
70 = (5000 - d)/(80 - t).
d = 45t, hence:
70 = (5000 - 45t)/(240 - t).
5000 - 45t = 5600 - 70t
25t = 600.
t = 600/25
t = 24. -> (80 - 24) = 56.
d = 45t = 45 x 24 = 1080 -> (5000 - 1080) = 3920.
Hence:
1. You were driving 24 hours at 45 mph and 56 hours at 70 mph.
2. You drove 1080 miles at 45 mph and 3920 miles at 70 mph.
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PLEASE HELP!!!!! 20 POINTS FOR ANSWER!!!
A cylinder has a radius of 9 inches and is 12 inches tall. What is the approximate volume of the cylinder? Express the answer in terms of π. Recall the formula V = πr 2h. Show work.
Answer:
if you convert inches to cm...
Step-by-step explanation:
9inch=22.86cm
12inch=30.48cm
V=TTr²h
TT= 3.14
V= 3.14×22.86²×30.48
V= 50014.6cm³
if you don't convert inches to cm...
V=TTr²h
V=3.14 ×9×12
V=339.12cm³
$75 lunch; 18% tip what is the total
Answer:
88.5
Step-by-step explanation:
75 x .18
tip= 13.5
75 + 13.5 = 88.5
ASAP PLEASE
what is 5/7 x 7/12 simplyfed
Answer:
I got 5/12 as my answer.
Evaluate the expression. Name the property used in each step.
3 (22-3-7)
= 3 (22-21)
=3 (1)
= 3
The value of the resulting expression is 3
Solving expressionsGiven the following expression as shown below;
3 (22-3-7)
According to the pemdas rule, the multiplication will come first inside the parenthesis
3 (22-3-7) = 3(22 - (21))
3 (22-3-7) = 3(22- 21)
Take the difference of the expression in parenthesis
3 (22-3-7) = 3(1)
Take the product of the result
3 (22-3-7) = 3
Hence the value of the resulting expression is 3
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PLZ HELP BRAINLIEST IF CORRECT Thanks
Answer:
0.5
Step-by-step explanation:
Answer:
0.5 quarts
Step-by-step explanation:
orange juice: punch
1.5 : 3
divide both sides by 3 to get:
0.5 quarts of juice: 1 quart of punch.
hope this helps!
i need help ASAP please and thanks