Answer:
f(8) = 13
Step-by-step explanation:
Step 1: Plug in 8 for the value of x.
[tex]f(8) = 2(8) - 3[/tex]Step 2: Multiply 2 by 8.
[tex]f(8) = 16 - 3[/tex]Step 3: Subtract 3 from 16.
[tex]f(8) = 13[/tex]Therefore, f(8) = 13.
Answer:
Step-by-step explanation:
Hi there!
Given;
f(x) = 2x - 3
To find: f(8)
Replace 8 in each place where there is "x" in f(x).
or, f(8) = 2*8 -3
= 16-3
= 13
Therefore, f(8) = 13.
Hope it helps!
Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
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Answer:
3.5 hours
Step-by-step explanation:
The separation distance is increasing at the rate of 20 mph + 60 mph = 80 mph. It will be 280 miles after ...
time = distance/rate
time = (280 mi)/(80 mi/h) = 3.5 h
The two cars will be 280 miles apart after 3 1/2 hours.
The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and seven years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.) P < x < =
Using the normal distribution, we have that:
a) The sketch of the situation is given at the end of this answer.
b) The probability is:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
Mean of 4.1 years, thus [tex]\mu = 4.1[/tex].Standard deviation of 1.3 years, thus [tex]\sigma = 1.3[/tex].Item a:
The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.
Item b:
The probability is the p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8, thus:
X = 7:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7 - 4.1}{1.3}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a p-value of 0.9871.
X = 2.8:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.8 - 4.1}{1.3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
0.9871 - 0.1587 = 0.8284, thus:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
A similar problem is given at https://brainly.com/question/25151638
A submarine dove to a level of 450 meters below the surface of the ocean. Later it
climbed 270 meters and finally dove 80 meters more. At what depth did it stop?
Answer:
260 Meters Below the Surface
Step-by-step explanation:
"Dove 450 meters" = - 450
"Climbed 270 meters" = +270
"Dove 80 meters more" = - 80
-450+270-80
-180-80
-180+(-80)
-260 or 260 Meters Below the Surface
The cost of a meal is split evenly between Alania and her two friends. They determine that each person owes $14.68. How much was the entire cost of the meal?
Answer:
$44.04
Step-by-step explanation:
let 3 be the number of people and 14.68 the person owes
3*14.68 = 44.04
burberry men's watch cost $425 markup 200% dollar markp selling price
Cost $425.00
Markup 200 %
Revenue $1,275
Profit $850
To find markup percentage, businesses use the markup percentage formula:
Markup Percentage = (Markup / Cost) x 100% Determine markup. Markup is the difference between selling price and cost:
Markup = Selling Price - Cost. Divide markup by cost. ...
Markup Percentage = (Markup / Cost) Convert to a percentage.
If
f(x) = 6x2 − x3,
find f '(1) and use it to find an equation of the tangent line to the curve
y = 6x2 − x3
at the point (1, 5).
Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:
[tex]\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9[/tex]
Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is
y - 5 = 9 (x - 1)
y = 9x - 4
The equation of "tangent-line" to the curve "y = 6x² - x³" at the point (1, 5) is : y = 9x - 4.
To find the derivative of the function f(x) = 6x² - x³, we differentiate each term with respect to x:
f(x) = 6x² - x³,
f'(x) = d/dx (6x²) - d/dx (x³),
f'(x) = 12x - 3x²,
Now, we need to find f'(1), which means evaluating derivative at x = 1;
f'(1) = 12(1) - 3(1)²,
f'(1) = 12 - 3,
f'(1) = 9,
The slope of tangent-line at point (1, 5) is given by f'(1), which is 9;
Using the point-slope form of equation of line (y - y₁ = m(x - x₁)), where m = slope and (x₁, y₁) is the given point (1, 5);
⇒ y - 5 = 9(x - 1),
Simplify the equation:
⇒ y - 5 = 9x - 9,
⇒ y = 9x - 4,
Therefore, the required equation of tangent-line is y = 9x - 4.
Learn more about Tangent Line here
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The test will have 25 questions. Each question will be worth
3 marks each. How many marks will the test be out of?
Answer:
75 marks
Step-by-step explanation:
one question worth 3 marks
so 25×3=75
Can someone pls help me Pls
Answer:
8/63
Step-by-step explanation:
(1/7)×(8/9)=8/63
yep
Solve.
-3.7 =-5.4x – 5.5
Enter your answer as a fraction in simplest form in the box.
Answer:
[tex] - \frac{1}{3} [/tex]
Step-by-step explanation:
[tex] - 3.7 = - 5.4x - 5.5 \\ - 3.7 + 5.5 = - 5.4x \\ 1.8 = - 5.4x \\ \ - \frac{1.8}{5.4} = x = - \frac{1}{3} [/tex]
Find the slope of the line that passes through (−1, 3) and (1, 13).
Answer:
Step-by-step explanation:
Slope = (change in y)/ (change in x)
= (13 - 3)/(1 - (-1))
= (13 - 3)/(1 + 1)
= 10/2
= 5
Question 8 of 10
A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
A. 2
B. 2
C. 5 sxs9
D. 5 < x < 9
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Answer:
D. 5 < x < 9
Step-by-step explanation:
The third side cannot be any shorter than the difference of the other two sides: 7 -2 = 5. It cannot be any longer than the sum of the other two sides: 7+2 = 9. It cannot be equal to either of those values. So, we must have ...
5 < x < 9
Which expression is equal to x + 5 + 5x + 10 + 2y? *
Answer:
x + 5 + 5x + 10 + 2y = 6x + 2y + 15
Step-by-step explanation:
Group like terms
= x + 5x + 2y + 5 + 10
Add the number 5 + 10 = 15
= x + 5x + 2y + 15
Add similar elements x + 5x = 6x
= 6x + 2y + 15
Have a good day :)
A football coach must order 9 new jerseys. The jerseys cost $23.79 each.
What is the total cost for the jerseys?
Answer:
9 x 23.79 = $214.11
(5x+4)-3x
Solve it.
No scam
Answer:
=2x+4
Step-by-step explanation:
Let's simplify step-by-step.
5x+4−3x
=5x+4+−3x
Combine Like Terms:
=5x+4+−3x
=(5x+−3x)+(4)
=2x+4
Answer:
2x+4...
Step-by-step explanation:
Hopefully it helps
What is the y-intercept of the line graphed on the grid?
A) -1
B) 2
C) -2
D) 1
the cash cost is 4700.00 she decides to finance the project by paying 7.0% down and pays 740.00 for 6 months what is the finance charge
Estimate the sums and difference of 38.12 + 12.24 and round to the nearest tenth
Answer:
50.4
Step-by-step explanation:
38.12 + 12.24 = 50.36
6 is near 10
50.36 = 50.4
Line b passes through points (6, 7) and (1, 1). Line c passes through points (7, 10) and (2, 4). Are line b and line c parallel or perpendicular?
Answer:
b and c are parallel lines
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
Calculate the slopes m of the lines using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 7 ) and (x₂, y₂ ) = (1, 1 )
[tex]m_{b}[/tex] = [tex]\frac{1-7}{1-6}[/tex] = [tex]\frac{-6}{-5}[/tex] = [tex]\frac{6}{5}[/tex]
Repeat with (x₁, y₁ ) = (7, 10 ) and (x₂, y₂ ) = (2, 4 )
[tex]m_{c}[/tex] = [tex]\frac{4-10}{2-7}[/tex] = [tex]\frac{-6}{-5}[/tex] = [tex]\frac{6}{5}[/tex]
Since slope are equal then line b and line c are parallel lines
PLZ HELP IM TIMEDDDDDDDDDDDDD Which values of a, b, and c correctly complete the division?
1/4 divided by 5/6=1/a x b/c
Answer is:
a=4, b=6 c=5
What is the volume, in cubic cm, of a cube with an edge length of 20cm?
Answer:
Isn't it 8000 cubic cm sorry if it's wrong
wich of the following 7/18 closest to
Answer:
1/2
hope this helps
Answer:
1/2
Step-by-step explanation:
7/18 is close to 1/2
Cross multiply to determine whether the fractions are equivalent.
?
4/8=2/4
Answer:
16 = 16
Step-by-step explanation:
Cross multiplying is when you multiply the numerator and denominator of two fractions.
So, it would be 4 × 4 = 8 × 2 or 16 = 16. This is essentially proving they are equal to one another.
Hope this helps.
Help “ASAP” 50 points… What is the length of TU? Show all work proportions.
Answer:
48 unitsStep-by-step explanation:
Similar triangles given:
ΔQPR ~ ΔUTVThe ratio of corresponding sides:
TU/PQ = UV/QRTU/60 = (20 + 60)/(60 + 40TU/60 = 80/100TU = 60*4/5 TU = 48Find the probability that an observation randomly selected from the normal distribution is between 75 inches and 81 inches.
Answer:
Happy birthday to you
Nobody like you
U look like a an animal go back to the zoo
Step-by-step explanation:
HINDI PO NAKATAWA
The carpet costs $2.59 per square foot, and sales tax is 7.5%. What is the total cost of the carpet? (Round to two decimal places as usual.)
Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x
Answer:
[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
Determine the slope (m):
[tex]y = 1 -2x[/tex]
Rearrange into slope-intercept form:
[tex]y = -2x+1[/tex]
Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
Determine the y-intercept (b):
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
Plug in the given point (1,3) and solve for b:
[tex]3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}[/tex]
Therefore, the y-intercept is [tex]\displaystyle \frac{5}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2} x+b[/tex]:
[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]
I hope this helps!
The population of a certain inner-city area is estimated to be declining according to the model P(t)=184,000e^−0.012t, where t is the number of years from the present. What does this model predict the population will be in 6 years? Round to the nearest person.
__________ people
Answer:
EZ answer 9+10=21
Step-by-step explanation:
A die is rolled twice. What is the probability of showing a 4 on both rolls?
Answer:
1/36
Step-by-step explanation:
So what you have to do is take all the numbers on the dice. Getting a 4 would be a 1 in 6 (1/6) chance, but then you take the risk of rolling again and trying to get another 4. Nothing changes with the amount of sides, so it would just be another 1/6 change to get the 4. Then, you have to multiply the two changes together. SO 1/6 x 1/6 = 1/36. It is a 1/36 chance to role a 4 on both roles.
The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]. Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex].
The probability of the first throw [tex]4[/tex] is [tex]\frac{1}{6}[/tex].
And on the second throw is [tex]\frac{1}{6}[/tex].
For both, the throws probability [tex]4[/tex] would be
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{36}[/tex]
Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].
To know more about probability
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heeelllllllllpppppppp meeeeee
Answer:
32
Step-by-step explanation:
36-4
Use Pythagorean theorem
Answer:
B=4
Step-by-step explanation:
Find the derivative of J(w)= T-Re^x
YOUR INPUT:
[tex]T-Re^{x}[/tex]
FIRST DERIVATIVE:
[tex]\frac{d}{dx} [T-Re^{x} ]\\=\frac{d}{dx} [T]-R*\frac{d}{dx} [e^{x} ]\\=0-Re^{x} \\=-Re^{x}[/tex]
Root/zero found at:
[tex]x=ln(\frac{T}{R} )[/tex]