The function that represents the total charge for renting a truck for a certain number of hours is c(h) = $90 + $20(h) and the value of the function for an input of 5, is $190 and this represents the total charge for a rental of 5 hours.
Given,
A truck rental company charges $90 plus $20 per hour.
Here we need to identify a function that represents the total charge for renting a truck for a certain number of hours. And we also need to find the value of the function for an input of 5.
The problem statement tells you the total charge is the sum of $90 and a charge of $20 per hour. That is, for h hours, the total charge is ...
c = 90 + 20h
In functional form, this is
c(h) = 90 +20(h) . . . . . . total charger for a rental of h hours
The function value with an input of 5 is ...
c(5) = 90 +20(5)
c(5) = 90 + 100
c(5) = 290
Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 5 hours.
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Answer:
f(h)=90+20h
$190
Step-by-step explanation:
Suppose there is a 1.1°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 59.7°F, what will be the temperature at an altitude of 11,000 feet?
The temperature at an altitude of 11,000 feet will be 47.6°F
Calculating temperatureFrom the question, we are to calculate the temperature at an altitude of 11,000 feet
From the given information,
There is a 1.1°F drop in temperature for every thousand feet
and
The temperature on the ground is 59.7°F
Now,
We are to determine the temperature at an altitude of 11,000 feet
Since the temperature drops by 1.1°F for every thousand feet,
Then,
At an altitude of 11,000 feet, the temperature would have dropped by 1.1°F 11000/1000 times
That is, the temperature would have dropped by that magnitude 11 times
Thus,
The temperature at an altitude of 11,000 feet = 59.7°F - 11×1.1°F
The temperature at an altitude of 11,000 feet = 59.7°F - 12.1°F
The temperature at an altitude of 11,000 feet = 47.6°F
Hence, the temperature at an altitude of 11,000 feet will be 47.6°F
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A jar of 60 coins contains 12 pennies. What percent of the coins are pennies?
[tex]\%( \alpha ) = \frac{cardinality( \alpha )}{cardinality( \omega) } \times 100 \\ [/tex]
[tex]\%(pennies) = \frac{12}{60} \times 100[/tex]
[tex]\%(pennies) = \frac{1}{5} \times 100 = \frac{100}{5} = 20 \% \\ [/tex]
Answer:
20%
Step-by-step explanation:
0.12 as a reduced fraction
Answer:
3/25
Step-by-step explanation:
0.12 multiplied by 100 equals 12
which means 12/100 is 0.12
now simplify
6/50
3/25
When an integer is subtracted from 8 times the next consecutive integer, the
difference is 43. Find the value of the lesser integer.
The value of the lesser integer is 5
How to determine the valueFrom the information given, we have the following deductions;
Let the lesser integer be xLet the larger integer be x + 1The expression can be represented as;
8(x + 1) - x = 43
expand the bracket, we have;
8x + 8 - x = 43
collect like terms
8x - x = 43 - 8
Subtract like terms
7x = 35
Make 'x the subject of formula
Divide both sides by 7
7x /7 = 35/7
x = 5
The lesser integer is x = 5
Thus, the value of the lesser integer is 5
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simplfy 4x2 - 3 x + 11 - 2x
Answer:
4x^2−5x+11
Step-by-step explanation:
combine like terms
The students at Emir's school voted for a new school color. 738 students voted for orange and the other 82 students voted for yellow. What percentage of the students voted for yellow?
We can conclude that 10 percentage of the students voted for yellow.
What do we mean by percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" is also used. A percentage is a number with no dimensions; it has no unit of measurement.Total number of students = 738 + 82 = 820
As we can notice that total number is 820 and the number of students that voted for yellow is 82.
So, 82/820 = 10%
Therefore, we can conclude that 10 percentage of students voted for yellow.
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Need help please quick asap thank you giving brainlest
Answer C :
[tex](5 {}^{ - 3} ) {}^{6} = 5 {}^{ - 3 \times 6} = 5 {}^{ - 18} = \frac{1}{5 {}^{18} } [/tex]
Answer:
C is correct.
Step-by-step explanation:
(5^-3)^6
= 5 ^(-3*6)
= 5^-18
= 1 /5^18.
what is the anwser i really an not figure out what it is and it due tomorrow
Answer:
M is (-5,6)
N is (1,0)
P is (-4,2)
Step-by-step explanation:
We have to move all our coordinates in the same position and distance so we add and subtract the x and y values
M (-6,1) we add 1 to the x value and add 5 to the y value
M (-6+1,1+5)
So M prime is (-5,6 and we do that for the rest
Answer:
Here, I might have messed up one part , I think ;-;
Step-by-step explanation:
using the following quantities, calculated from these data, estimate the correlation between the percentage of dopamine receptors blocked and subjects’ ratings of the cocaine high. provide a standard error with your estimate. sum of products: 957.5 sum of squares (receptors blocked): 8145.441 sum of squares (rating of high): 372.5
correlation coefficient,r = 0.5497
Standard Error,[tex]SE_{r} = 0.1477[/tex]
What is dopamine?Dopamine, also known as DA or 3,4-dihydroxyphenethylamine, is a neuromodulatory chemical with a variety of crucial functions in cells. It is an organic substance that belongs to the phenethylamine and catecholamine families. About 80% of the catecholamines in the brain are made up of dopamine. It is an amine produced by removing a carboxyl group from a molecule of L-DOPA, which is used as a precursor and is produced in the kidneys and brain. Plants and the majority of animals can produce dopamine as well. Dopamine performs the role of a neurotransmitter in the brain, which is a substance secreted by neurons (nerve cells) to communicate with other nerve cells. Although neurotransmitters are only produced in some parts of the brain, they have a systemic impact on numerous areas.
Let the random variable, X = % of dopamine receptors blocked and Y= subject's ratings of cocaine high.
The correlation coefficient, r
Given:
[tex]SS_{XY}[/tex] = 957.5
[tex]SS_{X}[/tex] = 8145.441
[tex]SS_{Y}[/tex]= 372.5
The correlation coefficient between the variables, X and Y is obtained using the following formula,
[tex]r=\frac{SS_{XY} }{\sqrt{SS_{X} \times SS_{Y} } }[/tex]
[tex]r=\frac{957.5 }{\sqrt{{8145.441} \times372.5 } } }[/tex]
r = 0.5497
The standard error for the estimate of the correlation coefficient is obtained using the following formula,
[tex]SE_{r} = \sqrt{\frac{1-r^{2} }{n-2} }[/tex]
From the scatterplot, the sample size, n = 34
[tex]SE_{r} = \sqrt{\frac{1-(0.5497)^{2} }{34-2} }[/tex]
[tex]SE_{r}=0.1477[/tex]
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A transformation maps shape A onto shape B.
Each of the side lengths of shape B is four times as long as the corresponding side length of shape A.
Fill in the gaps to describe this transformation.
Answer: Enlargement with a scale factor 4
Step-by-step explanation:
Since shape B is four times as long as shape A, this is an enlargement with a scale factor of 4.
What is scale factor?
Scale factor is a ratio between the original and transformed objects. Here, it is 4.
Find an equation for the surface obtained by rotating the line x = 4y about the x-axis.
The equation: [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex], represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.
What is surface of revolution?A surface created by rotating a two-dimensional curve about an axis is known as a surface of revolution. As a result, the final surface is always symmetric along the azimuth.Now,
If we consider the point (6y, y, 0) in the xy plane, it appears to be a circular path that is a cone when the curve is rotated about the x axis. The cone's equation takes the following form:
[tex]\frac{x^{2}}{c^{2}}=\frac{y^{2}}{a^{2}}+\frac{z^{2}}{b^{2}}[/tex]
Given that x = 6y, we square x = 6y to give the equation the form shown above, which results in:
x² = (6y)²
x² = 36y²
Circular paths go parallel to the y-axis, hence the equation should be circular in nature. 36z² needs to be added, so:
x² = 36y² + 36z²
=> [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex]
Hence, This equation represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.
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how to rewrite the function to determine whether it represents exponential growth or exponential decay
Answer: look at the screenshot
The average temperature in the mountains is 62° in April. The average temperature in that same spot is −4° in December. Determine how much warmer this location is in April than in December, and determine which temperature is the farthest away from 0°.
Answer:
62-4=58
April is 58 much warmer than December and 62 is the farthest from 0
Answer:
I Can only tell you the temperature part, sorry...
Step-by-step explanation:
Basically 62 is actually farther away, and essay writers stink
I'm a bumblebee who likes to eat KFC - Ash the Fox
The enrollment of a community college last
year was 4500 students. It increased by 5%
this year. What is the enrollment this year at
the community college?
Answer:
4725 Students
Step-by-step explanation:
First, multiply 4500 by 0.05 (which is 5% in decimal format.) You should get 225. Next, add 225 to the original value of 4500; you should get the answer, which is 4725 :)
Answer:
4725 Students
Step-by-step explanation:
To find the total enrollment of the community college this year, all we have to do is add the previous year's enrollment to 5% of the same value.
So...
Previous enrollment: 4500
5% of Previous enrollment = 0.05 * 4500 = 225
This year's enrollment = 4500 + 225 = 4725
So the final answer is 4725 students.
please help am stuck ASAP
Answer:
linear
Step-by-step explanation:
y is always 1 behind x
25-(3x+10) the sum tear and share
Answer:
The Answer is -3x+15
Answer:
Step-by-step explanation:
25= (3x+10)
25-10 =
15=3x
15/3= 3x/3
5=x
Write the equation of the line in fully simplified slope-intercept form.
12
11
Ag 987 OS 32 -
10
-12-11-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
11
12
Answer:
y=3x-8
Step-by-step explanation:
Slope -intercept form is y=mx+b.
M represents the slope; b represents the y-intercept.
First, let's find the y-intercept.
It'll be found on the y-axis on the graph.
If you go down the y-axis, you'll see that -8 is the only point to be directly on the y-axis, so we can assume that that's the y-intercept.
Thus, the B in the equation is -8.
Now, let's find the slope.
You can think of it as rise over run. The rise is how many numbers the y-intercept either goes up or down until it can cross over to the x-axis. Crossing sideways is the run that's located on the x-axis.
You can begin from -8 and either count downward or upward.
For the sake of this graph, we'll go upward.
Do you see the dot on the coordinate (1,-5)?
Count upward and go to the side to get to that coordinate.
I count three upward and one to the right.
So as a fraction that would be 3 over 1 or 3/1.
But you can simplify that to just 3.
Thus, the M in the equation is 3.
Hence, y=3x-8.
Hope this helps.
PLEASE HELP ITS URGENT
Answer:
Hi, it's 8^9
Step-by-step explanation:
[tex]8^5\cdot \:8^4\\8^5\cdot \:8^4=8^{5+4}\\8^{5+4}\\=8^9\\[/tex]
I need help quickly,.............
The answer is -√125
Step-by-step explanation:
-√125 does not simplify to an integer as -√125 = -5√5
Sofias bank account statement said she had -25$ she dopsited 47$ Into her account what is Sofias balance after she made that deposite
Answer: $22
Step-by-step explanation:
47- 25= 22
solve the equation 2/3x+5=3
Answer:
x = -3
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
Help please!!!!!!!!!
Answer:
(a) 3.5
(b) x = 4
(c) -¹/₂
(d) -¹/₂
Step-by-step explanation:
Part (a)f(1) is the value of y when x = 1.
To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line. Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.
Therefore, f(1) = 3.5.
Part (b)To solve f(x) = 2, find the value of x when y = 2.
To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line. Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.
Therefore, the solution of f(x) = 2 is x = 4.
Part (c)The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 2 ≤ x ≤ 4
Therefore:
a = 2b = 4[tex]\implies \dfrac{f(4)-f(2)}{4-2}=\dfrac{2-3}{4-2}=-\dfrac{1}{2}[/tex]
Part (d)The average rate of change between any interval of the given function will be the same as the graph is linear. Therefore, the average rate of change from 0 to 8 is the same as the rate found in part (c): -¹/₂.
Proof
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 0 ≤ x ≤ 8
Therefore:
a = 0b = 8[tex]\implies \dfrac{f(8)-f(0)}{8-0}=\dfrac{0-4}{8-0}=-\dfrac{4}{8}=-\dfrac{1}{2}[/tex]
PLEASE I NEED YOUR HELP !
Answer:
6 units
Step-by-step explanation:
To find out how far apart two points are on a graph, we must count the spaces that separate them along the x and y axis
Counting on the x-axis, Point A is 2 units to the left of Point B
On the y-axis, Point A is 4 units below Point B.
Add the two to get the total units
What are 3 items that need to be addressed in the coding quality plan that will help achieve the kpi of 98 ccuracy?
are the three items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.
KPI:
KPI = Key Performance Indicator
A performance indicator or key performance indicator is a type of performance measurement. It basically evaluate the success of an organization or of a particular activity in which it engages.
Given,
Here we need to find the 3 items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.
The following are the 3 major pillars that are helps to achieve the KPI of 98 accuracy.
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Camille rolls two number cubes​ together, and records the sum. if she does this 180​ times, how many times should she expect the sum to be​ 7? explain your answer. loading... click the icon to view the possible sums of the number cubes. question content area bottom part 1 the sum should be 7 approximately enter your response here ​time(s). the probability of a sum of 7 is enter your response here. ​so, to predict the number of times that a sum of 7 is​ rolled, solve the proportion ▼ one sixth equals startfraction x over 36 endfraction . one sixth equals startfraction x over 180 endfraction . seven twelfths equals startfraction x over 180 endfraction . seven twelfths equals startfraction x over 36 endfraction .
The total number of times 7 can occur as the sum on rolling two cubes for 180 times is 30. It is gained by applying the knowledge of probability to the given problem.
What is probability?
Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes
Calculation of the total number of times 7 can appear as a sum on rolling two cubes for 180 times
Number of cubes rolled = 2
Total number of outcomes on rolling two cubes = 36
Total possibility of getting 7 as sum = 6
The probability of getting 7 as a sum on rolling two dice only once is given by P(E1)
P(E1) = 6 / 36
= 1 / 6
She repeated the process 180 times so the needed probability, P(E) is obtained by multiplying 180 by P(E1)
P(E) = 180 × (1 / 6)
P(E) = 30
Hence, the required probability of getting 7 as the sum is given by 30.
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Try It!
Evaluate.
a. √27
Answer:
The root of 27 would be 5.196
Step-by-step explanation:
Four bags were divided equally among 5 people how much of a bag did each get? how??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answer:
Each person would get 80% of a bag
What is an exponent?
Answer:
An exponent is a power to a given number that will multiply the given number by itself the number of times the exponent's value represents. Exponents are represented by small, floating numbers that go after the given value in an equation.
Example A:
[tex]5^2 = 5 \times 5 = 25[/tex]
Example B:
[tex]x^4 + 8 = y[/tex]
Fourteen decreased by twice a number equals -32.
Simplify 2x (3x + 4) - (3x ² + 8x - 2)
Answer:
I think it’s 6x^3 + 16x^2 - 4x
After simplify of this equation 2x (3x + 4) - (3x ² + 8x - 2). We get, the two factors which are +√(-2/3), -√(-2/3).
Given Equation:
2x (3x + 4) - (3x ² + 8x - 2)
2x (3x + 4) - 3x ² - 8x + 2
6x² + 8x - 3x ² - 8x + 2
3x ² + 2
To find the factors
3x ² + 2 = 0
x ² = -2/3
x = ±√(-2/3).
Therefore, the factors of given equation are +√(-2/3), -√(-2/3).
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