Answer:
Speed= 0.6666667 miles per hour
Step-by-step explanation:
You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
Complementary and supplementary angles
Evaluate each limit given that limit x->2 f(x)=9.
limit x->2 1/3[f(x)]^2= 27✔️
limit x->2 3f(x)+5= 32✔️
limit x->2 [f(x)]3/2= 27✔️
Answer:
27
32
27
Step-by-step explanation:
1) limit x->2 1/3[f(x)]^2= 27
2) limit x->2 3f(x)+5= 32
3) limit x->2 [f(x)]3/2= 27/2
What is limit?"A limit is the value that a function approaches as the input approaches some value."
Limit properties:If limit f(x) = m and constant 'a',
limit a (f(x)) = a × m
limit (f(x))^n = (m)^n
limit (a) = a
limit (f(x) + a) = m + a
Given: limit x->2 f(x)=9.
We need to evaluate each limit.
1) limit x->2 1/3[f(x)]^2
⇒ [tex]\lim_{x \to 2} \frac{1}{3} (f(x))^2[/tex]
= [tex]\frac{1}{3} \lim_{x \to 2} (f(x))^2[/tex]
= [tex]\frac{1}{3} (\lim_{x \to 2} f(x))^2[/tex]
= [tex]\frac{1}{3} \times (9)^2[/tex]
= [tex]\frac{81}{3}[/tex]
= 27
2) limit x->2 3f(x)+5
⇒ [tex]\lim_{x \to 2} (3f(x)+5)[/tex]
= [tex]\lim_{x \to 2} 3f(x)+ \lim_{x \to 2} 5[/tex]
= [tex]3\lim_{x \to 2} f(x) + 5[/tex]
= [tex](3 \times 9)+5[/tex]
=[tex]\bold{32}[/tex]
3) limit x->2 [f(x)]3/2
⇒ [tex]\lim_{x \to 2} (f(x))\frac{3}{2}[/tex]
= [tex]\frac{3}{2} \times (\lim_{x \to 2} f(x))[/tex]
= [tex]\frac{3}{2} \times 9[/tex]
= 27/2
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Given that P(B) = 0.4 and P(AB) = 0.25, what must the P(A and B) = ?
0.100
0.160
0.410
1.000
HELP FAST I GIVE BRAINLIEST
Answer:
1st option (c = 15.00 + 3.50n)
Step-by-step explanation:
Answer:
A. c=15.00+3.50n
Step-by-step explanation:
We can find how much a single charm costs by taking the 2nd term and subtracting it by the first.
22.00-18.50=3.50
A charm is $3.50.
We can also find the initial price of the bracelet by taking the first term and subtracting off one charm.
18.50-3.50=15.00
The bracelet by itself is $15.00
Knowing n goes up by a rate of 3.50 and the initial price is 15.00, we can find the answer is
A. c=15.00+3.50n
Can someone answer this please l
Answer:
Step-by-step explanation:
(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)
5a + 18 + 48 - a + 8a - 30 = 180
12a + 36 = 180
12a = 180 - 36
a = 144/12
a = 12
therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.
Therefore, the size of the smallest angle is 36 degree
If 154 pounds is the lightest weight, then
pounds is the heaviest.
170
163
169
Answer:
169 Pounds
Step-by-step explanation:
...
what is the equivlalent expression of 10 plus 10 plus 10
Answer:
10 + 10 + 10 = 10 x 3
= 30
Find the area of the figure shown below and choose the appropriate result.
Answer:
B 14 cm
Step-by-step explanation:
First, rectangle equation formula is w x l which means 4 x 2 = 8 then triangle formula is b x h which base is 4 and height is 3 which gets 6. So 8 + 6 = 14.
what is the x in x/5 +1 = 7
24427 correct to the nearest 1000
Answer:
24427 correct to the nearest 1000? 24000.
Step-by-step explanation:
So 24000 is your answer.
A model of a house uses a scale of 1 inch : 5 feet. The height of the model is 5 5/8
inches. What is the height of the actual house?
Answer:
scale = 1 in: 5 ft
= 1inch x 5 5/8 = 5.625
5 ft x 5 5/8 28.125 ft
The actual height of the house is 28.125 ft
picture included-11 points
Answer:
Using the Pythagoras theorem, we have:
[tex]c = \sqrt{a {}^{2} + b {}^{2} } [/tex]
with a = 5, b = 6, we have:
[tex]c = \sqrt{5 {}^{2} + 6 {}^{2} } = \sqrt{61} [/tex]
2(x+4)-6 = 2(x-8)+1
plz show work because if I don't have it then I can't pass
Answer:
no solution
Step-by-step explanation:
Given
2(x + 4) - 6 = 2(x - 8) + 1 ← distribute and simplify both sides
2x + 8 - 6 = 2x - 16 + 1
2x + 2 = 2x - 15 ( subtract 2 from both sides )
2x = 2x - 17 ( subtract 2x from both sides )
0 = - 17 ← not possible
This indicates the equation has no solution
PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x[9-(4+2)divide by 2
Answer:
4.5 or 9/2 using bodmas ruke
What growth factor would be needed to provide 1/12th of 12% interest each month
1.01 is the growth factor that would be needed to provide 1/12th of 12% interest each month.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
Given, the growth factor would be needed to provide 1/12th of 12% interest each month
Remember the formulas:
Increasing: y = a (1 + r)ˣ
Decreasing: y = a(1 - r)ˣ
(1 ± r is the growth factor, while r is the growth rate)
In our case,
since it is an interest It will show the growth rate
Growth rate = 12% of 1/12
Growth rate = 1%
Growth rate = 0.01
Thus,
Growth factor = 1 + r
Growth factor = 1 + 0.01
Growth factor = 1.01
Therefore, The growth factor will be 1.01.
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Cynthia is mowing lawns for extra money. The amount of money she made after putting gas in the lawnmower is shown below.
Cynthia's Mowing
Money Made in Dollars 37 77 117 157
Number of Lawns 2 4 6 8
A.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.
B.
The amount of money Cynthia made is the 35 more than the number of lawns she mowed.
C.
The amount of money Cynthia made is the 35 less than the number of lawns she mowed.
D.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 plus 3.
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.
Write an equation and solve:
Kiran is trying to save $144 to buy a new guitar. she has $34 and is going to save $10 a week from money she earns mowing lawns. she wants to know how money weeks it will take her to have enough money to purchase the guitar.
Answer:
Step-by-step explanation:
10x + 34 = 144
10x = 110
x = 11 weeks
What is 5.8 written as a percentage?
A)
0.58%
B)
5.8%
o
58%
D)
580%
Answer:
D) 580%
Step-by-step explanation:
you move the decimal to the right twice.
5.8 ---> 580%
hope this helps :)
help me please. thank you if you do
Answer:
B
Step-by-step explanation:
After the introduction of a new soft drink, 200 people are asked to take a taste test to see how it is being received. Of those who participated, 48 said they preferred the new soft drink, 112 preferred the old soft drink, and 40 could not tell any difference. What is the probability that a person in this survey, chosen at random, preferred the new soft drink
Answer:
Step-by-step explanation:
The possibility is 48/200
The probability of people preferred the new soft drink is 6/25.
To find the probability.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.
Given that:
Total number of people taste test=200
Number of people who participated new soft drink=48
Number of people who participated old soft drink=112
Number of people who participated could not tell any difference=40
So, the probability of people preferred the new soft drink=
favorable outcome/total number of outcome
probability of people preferred the new soft drink=48/200
probability of people preferred the new soft drink=6/25
So, the probability of people preferred the new soft drink is 6/25.
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If x= 4, calculate the value of: 3x2 + 4x
Answer:
64Step-by-step explanation:
x = 4
Substitute x and calculate:
3x² + 4x = 3(4²) + 4(4) = 48 + 16 = 64Find the area of the parallelogram shown below 5 3
Answer:
15 square units
Step-by-step explanation:
If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.
All you have to do is length x height
5 x 3 = 15
Which table represents a function
Answer:
A
Step-by-step explanation:
because it passes the vertical line test and also for every x, there is only one y
1 +1
Deedederffetfrerggrrrggtrrttt
Answer:
11 or 2, it depends on how you think abt it
Answer:
2
Deedederffetfrerggrrrggtrrttt
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch). After the game the mean inflation was 12.5 psi.
Select the null hypothesis H0.
Group of answer choices
0=13
0=12.5
0<13
0>12.5
Answer:
The null hypothesis is [tex]H_0: \mu = 13[/tex]
Step-by-step explanation:
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).
This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:
[tex]H_0: \mu = 13[/tex]
please i really need help with this
Help PLZZ NO FILES PLZZZ
Answer:
B
Step-by-step explanation:
C is 31, so we add a negative to make it the opposite.
Pls help me with math
Answer:
true
Step-by-step explanation:
They are dependent because the outcome of the event affects them
What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth.
What is the volume of a sphere with a radius of 7 feet? Round to the nearest hundredth.
6
What is the volume of the sphere with a diameter of 18 centimeters? Round to the nearest
hundredth
Answer:
5. 4186.67 in³
6. 1436.03 ft³
7. 3052.08 cm³
Step-by-step explanation:
5. Determination of the volume of the sphere.
Radius (r) = 10 in
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 10³
V = 4/3 × 3.14 × 1000
V = 4186.67 in³
6. Determination of the volume of the sphere.
Radius (r) = 7 ft
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 7³
V = 4/3 × 3.14 × 343
V = 1436.03 ft³
7. Determination of the volume of the sphere.
We'll begin by calculating the radius. This can be obtained as follow:
Diameter (d) = 18 cm
Radius (r) =?
r = d/2
r = 18/2
r = 9 cm
Finally, we shall determine the volume of the sphere. This can be obtained as follow:
Radius (r) = 9 cm
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 9³
V = 4/3 × 3.14 × 729
V = 3052.08 cm³