What is the end behavior of the graph of the polynomial function f(x)= 3x^6+30x^5+ 75x^4
9514 1404 393
Answer:
f(x) → ∞ as |x| → ∞
Step-by-step explanation:
The degree is even and the leading coefficient is positive. When the magnitude of x gets large (either positive or negative), the value of f(x) will be a large positive number.
f(x) → ∞ as |x| → ∞
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi and in June it cost her $444 to drive 620 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)
Answer:
[tex]C(d) = \frac{1}{5}d + 320[/tex]
Step-by-step explanation:
Given
[tex]d \to miles[/tex]
[tex]C \to cost[/tex]
So:
[tex](d_1,C_1) = (500,420)[/tex] --- May
[tex](d_2,C_2) = (620,444)[/tex] --- June
Required
Express as a function
Start by calculating the slope (m)
[tex]m = \frac{\triangle C}{\triangle d}[/tex]
[tex]m = \frac{444-420}{620-500}[/tex]
[tex]m = \frac{24}{120}[/tex]
Simplify
[tex]m = \frac{1}{5}[/tex]
The equation is:
[tex]C(d) = m(d - d_1) +C_1[/tex]
[tex]C(d) = \frac{1}{5}(d - 500) +420[/tex]
[tex]C(d) = \frac{1}{5}d - 100 +420[/tex]
Take LCM
[tex]C(d) = \frac{1}{5}d + 320[/tex]
please, this is the last time I'm asking, just help me with the Volume.
Answer: 4374
Step-by-step explanation:
The relationship between the actual air temperature x (in degrees Fahrenheit) and the temperature y adjust for wind chill (in degrees Fahrenheit, given a 20 mph wind) is given by the following formula:
y= -22 + 1.4x
Estimate the actual temperature if the temperature adjusted for wind chill is -15 degrees Fahrenheit.
The actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have the relationship between the actual air temperature x (in degrees Fahrenheit) and the temperature y adjust for wind chill (in degrees Fahrenheit, given by 20 mph wind) is given as:
y = -22 + 1.4x
When.
The temperature adjusted for wind chill, y = -15 degrees Fahrenheit
Put this value in the given linear equation, we get:
-15 = -22 + 1.4x
-15 + 22 = 1.4x (add 22 on both sides)
7 = 1.4x
x = 5 degrees Fahrenheit (divide by 1.4 on both sides)
Thus, the actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.
Learn more about the linear equation here:
brainly.com/question/11897796
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes. What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week
Answer:
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes.
This means that [tex]\mu = 112, \sigma = 12[/tex]
What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week?
This is the p-value of Z when X = 90. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{90 - 112}{12}[/tex]
[tex]Z = -1.83[/tex]
[tex]Z = -1.83[/tex] has a p-value of 0.0336
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
will mark as brainliest!
y=acos(b(x-c))+d
give an explanation for how each letter a, b, c and d are shown in the graph compared to y=cosx
REFERENCE: LESSON 8 TO 12.
1.
Simplify the ratios 52 : 39
(1 mark)
Answer:
2.
Simplify 4/16:23
(1 mark)
Answer:
(1 mark)
3.
Express the ratio 8 : 56 in the form 1:n
Answer:
(1 mark)
4.
Solve for the unknown in the given proportion.
Answer:
(1 mark)
5.
Express the ratio 40 cm: 5 m in the form m:n.
Answer:
Answer:
Step-by-step explanation:
1. 52:39
Divide both sides by 13:
= 4:3.
2. 4/16 : 23
= 1/4 : 23
= 1 :92.
3. 8:56
= 1:7.
4. ?
5. 40 cm 5 m
= 40 : 500
= 4:50
= 2:25.
Jom!
06 PM
What is the slope of the line that passes through the points (-4, 4) and (-6, 6)?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
1x1=
9x6 =
18×6=
54×6=
10x2=
Answer:
1x1=1
9x6 =54
18×6=108
54×6=324
10x2=20
Step-by-step explanation:
find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]
Answer:
View the graph for a visual
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]
f'(x)=0, gives x=-2
we find f(x) at x=-3,-2,1
f(-3)=-3e^(-3/2)≈-0.67
f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74
f(1)=1 e^(1/2)=√e≈1.65
A researcher wants to survey 2000 Americans for an obesity study. Match the strategies to their corresponding sampling techniques
The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
The researcher gets the complete list from the Census Bureau and uses a computer to randomly selc 2000 people.
The researeher makes sure that the proportion of respondents from each state matches the propontion of each state's population to the US population
The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people.
Then the researcher makes sure that everyone from each group answers the survey question.
a. Stratified Sampling
b. Systematic Sampling
c. Simple Random Sampling
d. Cluster Sampling
e. Convenience Sampling
Hint: Sampling Methods License Points possible: 1 This is attempt 1 of 1.
Answer:
a. The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.
b. The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
c. The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.
d. The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.
e. The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
First 2000, so convenience.
The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
Every kth element, k = 1500, so systematic.
The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.
Randomly selects 2000 people, so random sampling.
The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.
Divides the population into groups(by state), and a few members of each group are surveyed, so stratified.
The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.
Each element of the cluster is surveyed, so cluster sampling.
I would appreciate if someone could answer this for a brainlist :)
Answer:
x is 40° because it's same side interior angle
y is 140° because it's a corresponding angle with the 140° angle
z is 40° because it's a corresponding angle with x
Answer:
X=40, Y=140, Z=40 because total sum is 360
What is the true meaning of absolute value?
Answer:
Change the value from negative to positive
Or
Change the value from positive to positive
Step-by-step explanation:
It is very simple
Any number's absolute value should be positive
Let's say absolute value of 3 - >answer is 3
But absolute value of - 3 - > is also 3
Hope you understood it.
Answer:
In math students think that the function just removes negative signs, and actually that is basically what happens...
BUT !!! the definition that you want is that absolute value is a measure of how far (distance) you are from ZERO.... and note that distances are not negative...
If you run out of gas one mile in front of behind a gas station, you have to travel "one mile" you don't walk "negative one mile"...
forward one mile or backward one mile are both "one mile" just in different directions
Step-by-step explanation:
hey can some one help with this plz
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Answer:
21 September
Step-by-step explanation:
Since Alicia is 12 days older, her birthday was 12 days before October 3rd. If we think of October 3rd as equivalent to September 33rd, then 12 days previous is the 33 -12 = 21st day of September.
Alicia's birthday is September 21st.
Simplify the expression below
Answer:
[tex]3\sqrt{10}[/tex]
Step-by-step explanation:
Identify a transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x|+4.
Answer:
its 9 plus 9 and equals 19.0
2. My wife and I are racing around a 400m track going opposite directions. I am
running at 8 m/s and she has a head start of 50 meters running at 5m/s, how long
does it take for us to reach the same point.
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
ADMC
Step-by-step explanation:
The secant of a circle is a line that cuts the cuts two points of the circumference with one end point external to the circle;
Fro the given diagram, the two lines that cuts the circumference of the circle at two points are AEB and ADMC
Hence the one that contains diameter with point M is line ADMC
NO LINKS NO FILES. After you add 3 to both sides of the equation 27 = m/6 - 3, what should you do next?
Answer:
Multiply each side by 6
Step-by-step explanation:
27 = m/6 - 3
Add 3 to each side
27+3 = m/6 - 3+3
30 = m/6
Multiply each side by 6
30*6 = m/6*6
180 = m
What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot
Answer:
22 ft²
Step-by-step explanation:
SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)
SA = 20 + 2 = 22
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Choose the answer that represents the product below as an exponential
expression
2•2•2•2
A. 5^2
B. 4^2
C. 2•4
D. 2^4
Answer:
2^4
Step-by-step explanation:
2*2*2*2
There are four 2's multiplied together
2 is the base and 4 is the exponent
2^4
Answer:
Hello There!!
Step-by-step explanation:
The answer is D. 2^4. 2^4 means the same as 2×2×2×2 which means 2 is multiplied my itself 4 times.
hope this helps,have a great day!!
~Pinky~
Find the distance between the two points in simplest radical form HELP
Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]
[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]
[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{36+25}[/tex]
[tex]d=\sqrt{61}[/tex]
Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.
Help please match with the words
Answer:
Perpendicular
Skew
Parallel
Step-by-step explanation:
First one : the lines intersect and they form right angles
The second one : they don't intersect and appear on separate planes
The last : they are both sides of a rectangle on the same plane
Answer:
1.) skew
2.) perpendicular
3.)parallel
Step-by-step explanation:
hope that helps:)
What is the slope of the line?
-3
Step-by-step explanation:
it is -3 because the line touches -3 on the y-intercept
some banks charge a fee on savings account that are left inactive for an extended period of time. the equation y=5000(0.98)^x represents the value, u of one account that was left inactive for a period of x years. what is the y-intercept of this equation, and what does it represent?
a. 0.98 the percent of money in the account initially?
b. 0.98, the percent of money in the account after x years
c. 5000, the account of money in the account initially
d. 5000, the amount of money in the account after x years
Answer:
it gotta be d cause i went with my instinct.
Step-by-step explanation:
solve write it out.
At a basketball game, a vender sold a combined total of 200 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
50 hot dogs
150 sodas
Step-by-step explanation:
set up a system of equations where 'h' = # hot dogs sold and '3h' = # sodas sold
h + s = 200
s = 3h
h + 3h = 200
4h = 200
h = 50
s = 200-50 or 150
Free Branliest Quick and Correct!
The dot plot below shows 6 data points with a mean of 16. 12 13 14 15 16 20 What is the absolute deviation at 19? 03 04 7 8
Answer:
The absolute deviation at 19 is 3.
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
|19-16|=3
subtract mean from expected value
Which of the following sets represents the range of the diagram.
Answer:
{3, 5, 7}
Step-by-step explanation:
From our knowledge of mapping, the domain is mapped to a range as given in the diagram above, the first set given is the domain while the seet which the arrow points to is the range, therefore, in simple terms, the range of the diagram given is the set {3 5, 7}
How many solutions exist for the given equation?
1/2(x + 12) = 4x -1
•
zero
one
two
infinitely many
Answer:
one
[tex] \frac{1}{2} (x + 12) = 4x - 1 \\ x + 12 = 8x - 2 \\ 7x = 14 \\ x = 2[/tex]
