Answers
Answer:
the last one: f(x) = 1/(x-3)
Step-by-step explanation:
Vertical asymptote at x=3 means dividing by zero for x=3. If you examine all denominators with x=3, you find that the last one divides by zero (3-3).
Related Questions
DO NOW
1)_Write an equation that represents the
line whose slope is 5 and has a (-2,4) on
the line.
Answers
Answer:
y=5x+14
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.
If this helps please mark as brainliest
Chau rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 95 cents for each mile driven. Chau had to pay $198.50
when he returned the truck. For how many miles did he drive the truck?
Answers
Let's say John drove 2 miles. He had to pay the base fee of $18.99 and $.75(2) = $1.50, so he paid $20.49 total.
We are given his total, though, and asked to find the mileage.
18.99 + .75m = 199.74
-18.99 -18.99
.75m = 180.75
.75 .75
m = 241
So, John drove 241 miles.
Hope this helps!
I
Casey boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5.6 radians per minute and has a radius of 50 feet. The center of the Ferris wheel is 55 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating.
a. Write an expression (in terms of t) to represent the varying number of radians θ Ryan has swept out since the ride started.
b. Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.
Answers
Solution :
It is given that :
Casey boarded a Ferry wheel at position of 3 'o' clock.
The angular speed of the Ferry wheel = 5.6 radians per minute
The radius of the Ferry wheel = 50 feet
The height of the center wheel of the Ferry from the ground = 55 feet
Let the number of minutes be = t
a). The expression of the varying number of radians θ is given by :
After t minutes, θ = angle swept
θ = 5.6 t radians
b). Finding the height from the center of the wheel.
We know that : y = r sin θ
Given r = 50 feet
So, y = 50 sin (5.6 t) feet
Therefore, the height above the ground can be found by :
h = y + 55 (from ground)
h = 50 sin (5.6 t) + 55 feet
The population of a city decreases by 3.1% per year. If this year's population is 142,000, what will next year's population be, to the nearest individual?
Answers
Answer:
100 - 3.1 = 96.9
142000 - 96.9 = 1410903.1
What is the shape of the base of the cylinder?
Answers
Answer:
circle
Step-by-step explanation:
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answers
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
Meh need help, Im so confued
Answers
Answer:
3/6=4/8
Step-by-step explanation:
2/6=3/8
2*4 6*4=8/24
3*3 8*3=9/24
2/6 does not equal 3/8
3/6=4/8
3*4 6*4= 12/24
4*3 8*3=12/24
3/6=4/8 is true
Which of the following statements is equivalent to 28 + 16?
Answers
Answer:
You need to show the statements or I can't help.
Matthew decided to bake cupcakes for the school fundraiser. He wants to make 2 dozen cupcakes--one dozen strawberry and one dozen chocolate. He needs 2 1/4 cups of flour for the strawberry cupcakes and 2 1/3 cups of flour for the chocolate cupcakes, but he only has 4 cups of flour. Which two expressions could be used to correctly determine the amount of flour, in cups, Matthew still needs to bake his two dozen cupcakes? 2 part what is the total amount of flour, in cups, Mathew still needs for his cupcakes? NO LINK
Answers
Answer:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\\frac{7}{12}\:\text{more cups of flour}[/tex]
Step-by-step explanation:
The total amount of flour, in cups, Matthew needs is equal to [tex]2\frac{1}{4}+2\frac{1}{3}=4\frac{7}{12}[/tex]. Because he only has 4 cups, we can write the following expression to determine how many additional cups of flour he needs:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\4+c=\frac{7}{12}, \\\\c=\boxed{\frac{7}{12}\:\text{more cups of flour}}[/tex]
I need the answer to this pls.
Answers
Hope this helps :D
Answer:
C
Step-by-step explanation:
Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into each glass?
Answers
Answer:
4/5
Step-by-step explanation:
1/2 ÷6=4/5
How do you write 6.00 × 10–5 in standard form?
Answers
Answer:
[tex]60x-5[/tex]
Step-by-step explanation:
Multiply 10 by 6
60x - 5
If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
Answers
Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours. What is the approximate standard deviation of the sampling distribution of the mean for all samples with n
Answers
Answer:
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours
This means that [tex]\mu = 945, \sigma = 21[/tex].
What is the approximate standard deviation of the sampling distribution of the mean for all samples of size n?
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
4 more than a number is 12
Answers
Answer:
555
Step-by-step explanation:
Answer:
4 + x = 12
x = 8
Step-by-step explanation:
4 more than a number is 12
I will represent the mystery number as "x"4 + x = 12
x = 8
If you rolled two dice, what is the probability
that you would roll a sum of 4?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
3
second
first
1 2
4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
22,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
55,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Enter
Answers
Answer:
1/12
Step-by-step explanation:
3/36=1/12
HELP!!!!
5^m x (5^-7)^m = 5^12
Answers
Answer:
not sure lol but, like it up
Step-by-step explanation:
whats the answer. ill make this 20 pts
Answers
Answer:
B
Step-by-step explanation:
[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]
help me please I have to pass
Answers
Answer:
Step-by-step explanation:
15% of 400
15/100*400
15*400/100
6000/100
60
therefore ur answer is 60
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{15}{100} \times 400 \\ =15 \times 4 \\ = 60 [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
1
Abdullah tracked the scores of his Science tests this year.
93, 71, 86, 95, 72, 81, ?
He lost the score from his final test, but knows he had a mean score of 82.
Calculate his missing score.
76 O
Activate Windows
Go to Settings to activate Windows.
11:30 AM
5/31/2021
Desktop
4») GG ENG
O
10
Answers
Answer:
76
Step-by-step explanation:
Answer:
I believe the answer is 76
find the ratio of volumes of two cuboids whose sides are in the ratio 3/1
Answers
Answer:
The ratio of volumes is of 27.
Step-by-step explanation:
Volume of a cuboid:
A cuboid has dimensions length l, width w and height h. The volume is given by:
[tex]V = lwh[/tex]
Multiplying dimensions by 3:
This means that l = 3l, w = 3w, h = 3h. So
[tex]V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh[/tex]
Ratio of volumes:
[tex]\frac{V_m}{V} = \frac{27lwh}{lwh} = 27[/tex]
The ratio of volumes is of 27.
if f(x)= 9+3x, find f(-2)
Answers
Answer:
f(-2) =3
Step-by-step explanation:
f(x) = 9+3x
Let x=-2
f(-2) = 9+3(-2)
= 9-6
= 3
f ( -2 ) = 9 + 3( - 2 )
f ( -2 ) = 9 - 6
f ( -2 ) = 3
a rectangle has a base of 10 and height of 12 what is its area
Answers
Answer:
120 units squared
Step-by-step explanation:
How many students were questioned about the approximate number of text messages they send each day? Explain or
show how you arrived at your answer.
Answers
The area of a triangle is 14 square inches, and the triangle's height is 7 inches. Use the formula A = bh, where A is area, b is
base, and h is height, to find the length of the base of the triangle.
•49 inches
•1 inch
•2 inches
•4 inches
Answers
length of base is2 inches:
Answer:
Solution given:
According to the questionArea of triangle=14 square inches
bh=14
7*b=14
b=14/7
b=2
length of base is2 inches:
if
A=½bh
then
Area of triangle=14 square inches
½bh=14
½*7*b=14
b=14*2/7
b=4 inches
the length of the base of the triangle is 4inches.
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
What is mean by Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
The area of a triangle = 14 square inches
Height of a triangle = 7 inches
Now,
The given formula for a triangle is;
⇒ A = bh
Where, A is the area, b is base and h is the height of the triangle.
Substitute all the values in above equation, we get;
⇒ A = bh
⇒ 14 = b x 7
Divide by 7, we get;
⇒ 14/7 = b
⇒ b = 2 inches.
Therefore,
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
Learn more about the triangle visit:
https://brainly.com/question/21735282
#SPJ2
An equation is shown below:
8x + 2(x – 7) = 7x + 3x – 14
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
Answers
Use pemdas when solving these problems
PLEASE HELP IM BEGGING PLEASEEEE SEE ATTACHED DOCUMENT
Answers
Answer:
Step-by-step explanation:
5.
3x-1 = 4x+13
-1=x+13
12=x
3(12)-1
36-1
Answer: 35
Second 5.
I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)
6.
90+40+x=180
130+x=180
50=x
Answer: 50
7.
x+71=90
x=19
Answer: 19
What is the volume of the given picture below? ( HELP PLEASE )
Answers
The formula for the volume of a sphere is 4/3(pi)r^3. The diameter is 12. Half it to get the radius, which is 6. Plug 6 into the formula. The result is 904.77868.
Which of the following statements are true about solids shown above
Check all that apply
A prism a has a lateral surface are of 60 cm 2
B prism b has a total surface are of 110 cm 2
C prism b has larger surface area
D prisms A and B have different values for lateral surface area
Answers
Ans its b and c
Step-by-step explanation:
g A radio station’s poll found that 68% of the respondents in a random sample of listeners plan to see a live music show in the next month. A 95% confidence interval for the population proportion was 0.68 ± 0.04. What is the correct interpretation of the 95% confidence interval? We can be 95% confident that 68% of all listeners will see a live music show in the next month. There is a 95% probability that between 64% and 72% of the listeners will see a live music show in the next month. There is a 5% chance that less than 64% or more than 72% of listeners will see a live music show in the next month. We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%. If we repeatedly took samples of the same size from listeners of this radio station, approximately 95% of those samples would have between 64% and 72% of the sample going to see a live music show in the next month.
Answers
Answer:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
A 95% confidence interval for the population proportion was 0.68 ± 0.04.
We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.
Thus, the correct answer is:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.