The solution of the given function will be F(4)=14
Since we know that Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, it is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable . In physical sciences, functions are indispensable for formulating physical relationships.
We have been given a function as;
F(x)=3x+2
F(4)=3x+2
WE have to substitute the value of x as 4 then we get;
F(4)=3(4)+2
F(4)=14
Therefore, the value of the given function will be as 14.
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Find the midpoint and the distance between these 2 points. (-4,8) and (6,-2)
Answer:
Midpoint = (1,3)
Distance = 10√2
Step-by-step explanation:
Midpoint
[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-4,\:8\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)\\\\=\left(\frac{6-4}{2},\:\frac{-2+8}{2}\right)\\\\=(\frac{2}{2} , \frac{6}{2} )\\\\Simplify\\=\left(1,\:3\right)[/tex]
Distance
[tex]Distance = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,8)=(x_1,y_1)\\(6,-2)=(x_2,y_2)\\\\d=\sqrt{\left(6-\left(-4\right)\right)^2+\left(-2-8\right)^2}\\\\d = \sqrt{(6+4)^2+(-2-8)^2}\\ \\d = \sqrt{(10)^2 +(-10)^2}\\ \\d = \sqrt{100+100} \\\\d = \sqrt{200}\\ \\d = 10\sqrt{2}[/tex]
What is the volume of the rectangular prism?
1/3ft
Answer:V=whl
Step-by-step explanation:
L=Length
W= Width
H= Height
What do all rational numbers have in common?
All rational numbers have the following in common:
1. They can be expressed as a fraction
2. They can be represented on a number line.
3. They can be added, subtracted, multiplied, and divided.
4. They can be written as terminating or repeating decimals.
What do all rational numbers have in common?1. Fractional representation: All rational numbers can be expressed as a fraction, where the numerator is an integer and the denominator is a non-zero integer.
2. Number line representation: All rational numbers can be represented on a number line.
3. Arithmetic operations: All rational numbers can be added, subtracted, multiplied, and divided.
4. Decimal representation: All rational numbers can be written as terminating or repeating decimals.
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The maximum weight your office building's elevator can carry is 1,500 pounds. You
need to move boxes each weighing 50 pounds from the fifth floor to the third
floor. Let n represent the number of boxes you place in the elevator. If you weigh
140 pounds, what is the correct inequality that can be used to determine the
maximum number of boxes that you can place in the elevator at one time? Assume
only you and the boxes are in the elevator.
Answer:
50n+140=1500
Step-by-step explanation:
Find the cost function for the marginal cost function. C(x) =0.06 e 0.08x; fixed cost is $10 C(x)=_______
Answer:
The cost function for [tex]C(x) = 0.06\cdot e^{0.08\cdot x}[/tex] is [tex]c(x) = 0.75\cdot e^{0.08\cdot x}+10[/tex].
Step-by-step explanation:
The marginal cost function ([tex]C(x)[/tex]) is the derivative of the cost function ([tex]c(x)[/tex]), then, we should integrate the marginal cost function to find the resulting expression. That is:
[tex]c(x) = \int {C(x)} \, dx + C_{f}[/tex]
Where:
[tex]C_{f}[/tex] - Fixed costs, measured in US dollars.
If we know that [tex]C(x) = 0.06\cdot e^{0.08\cdot x}[/tex] and [tex]C_{f} = \$\,10[/tex], then:
[tex]c(x) = 0.06\int {e^{0.08\cdot x}} \, dx + 10[/tex]
[tex]c(x) = 0.75\cdot e^{0.08\cdot x}+10[/tex]
The cost function for [tex]C(x) = 0.06\cdot e^{0.08\cdot x}[/tex] is [tex]c(x) = 0.75\cdot e^{0.08\cdot x}+10[/tex].
What is (5•3) - 18 and can u explain y
Answer:
-3
Step-by-step explanation:
You would find what the answer to (5•3) is then subtract that answer with 18. So it would be 15-18=-3
Answer:
The answer is -3
Step-by-step explanation:
The answer is -3 because of the order of operations PEMDAS (parenthesis, exponent, multiplication/division, addition/subtraction)
Therefore, you would multiply the two numbers inside the parenthesis first, which would give you 15-18, and from there you can subtract 18 from 15 which would give you -3.
What is the volume of the rectangular prism?
1/3ft
The volume of the rectangular prism given the information in the question is 10 feet³.
What is the volume of the rectangular prism?
A rectangular prism is a three-dimensional shape. It also known as a cuboid. It has six faces, 12 sides and 6 vertices
Volume = length x width x height
Volume = 1/3 (number of squares that make up the length x number of squares that make up the width x number of squares that make up the height)
1/3 (5 x 2 x 3) = 10 feet^3
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TC AB - 21 centimeters, and BC = 28 centimeters, which does AC equal? B O A. 30 centimeters ов. 33 centimeters ос. 35 centimeters D. 37 centimeters © 2020 Edmentum. All rights reserved.
Answer:
c would have to be your answer
Step-by-step explanation:
Which statement best describes the function below? fx) = 2x² – 3x+1 O A. It is a one-to-one function. O B. It fails the vertical line test. C. It is a many-to-one function. O D. It is not a function. .
Answer:
f(x)=2x^2-3x+1
the graph of the function is attached with the answer
As we can see that equation is quadratic and its graph is a parabola facing upward.
As we can see it passes the Vertical line test
As it passes the Vertical line test , So it is a function
And two values of x has one value of y
So it is a many to one function.
Step-by-step explanation:
Answer:
It is a many to one function!
Step-by-step explanation:
Just took the quiz and got id correct! Hope this helped! <3
The area of the above polygon
A cleanup crew is picking up litter from the sides of the road. If one crew member can clean up a mile
of the road in 45 minutes, and another crew member can clean up a mile of the road in 70 minutes,
approximately how much time will it take the crew members to clean up a mile of the road if they work
together?
Answer:
Step-by-step explanation:
h hubuj
ANSWER:
EXPLANATION
so this is an easy question ur mom and dad they are smart that how th
how many solutions does the equation have? 0 = -8q + 8q
Answer:
None really
Step-by-step explanation:
Q=0
ayo who wants to help me out here (the question in the middle btw)
Answer:
z = -3
Step-by-step explanation:
5z+3=-12
-3 -3
5z=-15
/5 /5
z = -3
Hope this helps :)
7/5 + 4/20
Answers should be in format example: 5/2 or 2/5. No decimals or mixed numbers.
8/5
turn 4/20 into 1/5 then do 7+1/5 and your final answer will be 8/5
Answer: 32/20 or 8/5
Step-by-step explanation: :)
A student was performing an experiment that compared a new protein food to the old food for goldfish. He found the mean weight gain for the new food to be 12.8 grams with a standard deviation of 3.5 grams. Later he realized that the scale was out of calibration by 1.5 grams (meaning that the scale weighted items 1.5 grams too much). What should the mean and standard deviation be for the new food
Answer:
Mean = 11.3 grams
Standard Deviation = 3.5 grams
Step-by-step explanation:
Mean is affected by change of origin but standard deviation is not affected. Hence the scale weighed items 1.5 grams affect only the mean not standard deviation. Hence, the mean for new food item is 12.8 - 1.5 = 11.3 grams as weight gain by 1.5 gram due to wrong calibration and the standard deviation remains the same as 3.5 grams.
Find the slope of a parallel line -10+x-2y=0
Answer: 1/2
Step-by-step explanation:
First convert the equation into slope-intercept form.
-10 + x -2y = 0
+10 +10
x - 2y = 10
-x -x
-2y = 10 - x Divide both sides by -2
y = 1/2x - 5
In this case the slope is 1/2 and the slopes parallel lines are the same but they must have different y intercepts. Meaning that the slope of the other line will be 1/2.
Please help me! Anyone?
Answer:
118°
Step-by-step explanation:
E=180-145=35
C=180-132=48
D=720-150-100-145-35-48=242
x=360-242=118
Answer:
145-132=13
150-100=50
50±13=63
63-46=100±19=119-10=
The quantities xxx and yyy are proportional.
xxx yyy
999 4.54.54, point, 5
141414 777
303030 151515
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer:
1/2
Step-by-step explanation:
I got this wrong it gave me this step by step equation on khan I hope this helps
1 / 3
What times x gives us y?
2 / 3
If we multiply each x-value by 1 / 2 we get to each corresponding y-value:
y = 1 / 2x
3 / 3
The constant of proportionality (r) in the equation y =rx is 1 / 2
this was the exact same explanation and answer khan academy game me, so it should be right
Answer:
1/2
Step-by-step explanation:
Estimate the square root of 125
Answer:
[tex]5\sqrt{5}[/tex]
Step-by-step explanation:
find the measure of the angle marked with a? Using the inverse trig functions. Round your answer to the nearest degree. part 2
Answer:
sine(?)=opposite/hypotenuse
sine(?)=2/8
sine(?)=0.25
sine inverse of 0.25
angle?=14.48°
Answer:
14° (nearest degree)
Step-by-step explanation:
Please see the attached picture for full solution.
Which are the coordinates of the transformed point?
(6,-3), vertical stretch of 2
(6,6)
(6-6)
(12,-6)
(12, 6)
Answer:
Did you ever get the answer
Step-by-step explanation:
3(3+2x)=2(-4+3x) has how many solutions?
Answer:
no solution
Step-by-step explanation:
Answer:
1x.
..................................
hope it will works
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The number of square feet per house is normally distributed with a population standard deviation of 154 square feet and an unknown population mean. If a random sample of 16 houses is taken and results in a sample mean of 1550 square feet, find a 80% confidence interval for the population mean. Round your answer to TWO decimal places.
Answer: (1500.66,1599.34)
Step-by-step explanation:
Confidence interval for population mean:
[tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex]
,where [tex]\overline{x}[/tex] = Sample mean , n= Sample size, z* = critical two tailed z-value , [tex]\sigma[/tex] = population standard deviation.
As per given , we have
n= 16
[tex]\sigma = 154[/tex] square feet
[tex]\overline{x}= 1550[/tex] square feet
[tex]\alpha= 1-0.80 = 0.20[/tex]
Critical z-value = [tex]z_{\alpha/2}=z_{0.2/2}=z_{0.1}=1.2815[/tex]
Confidence interval for population mean:
[tex]1550\pm (1.2815)\dfrac{154}{\sqrt{16}}\\\\ = 1550\pm (1.2815)\dfrac{154}{4}\\\\= 1550\pm 49.33775\\\\ =(1550-49.33775,\ 1550+49.33775)\\\\\approx (1500.66,\ 1599.34)[/tex]
Required confidence interval: (1500.66,1599.34)
true or false? the dependent variable corresponds to the x-axis
Answer:
true
Step-by-step explanation:
im really not sure. it just sounds true
Answer:
false
Step-by-step explanation:
the x-axis is the indipendent variable
Kayla,Devon,Maggie are working on translating verbal expressions into algebraic expressions. The question on their assignment asks them to translate “seven less than four times the square root of x”
Answer: maggie is right
Step-by-step explanation:
because the first number is 7 and the first number in the sentence is 7
1. Solve using any method:
2x – 3y = -2
4x + y = 24
Answer:
[tex]x=5,y=4[/tex]
Step-by-step explanation:
[tex]2x-3y=-2[/tex]
Add 3y to both sides:
[tex]2x-3y+3y=-2+3y[/tex]
[tex]2x=-2+3y[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=-\frac{2+3y}{2}[/tex]
[tex]x=\frac{-2+3y}{2}[/tex]
Substitute this into the second equation:
[tex]4* \frac{-2+3y}{2}+y=24[/tex]
[tex]2\left(3y-2\right)+y=24[/tex]
[tex]7y-4=24[/tex]
Add 4 to both sides:
[tex]7y-4+4=24+4[/tex]
[tex]7y=28[/tex]
Divide both sides by 7:
[tex]\frac{7y}{7}=\frac{28}{7}[/tex]
[tex]y=4[/tex]
We know that [tex]x=\frac{-2+3y}{2}[/tex]
Thus, [tex]x=\frac{-2+3* \:4}{2}[/tex]
[tex]x=\frac{10}{2}[/tex]
[tex]x=5[/tex]
Answer:
using elimination rule
multiply equation 2 by 3
we get, 12x+3y=72
now solve both equation
2x-3y= -2
(+)12x+3y=72
-----------------
14x=70
x=70/14=5
put value of x in any of the equation y=4
mark its as brainliest!!!!
Total Number of Fish in Tank
10
remaining in Tank
Use the graph shown to determine the TRUE statements.
The x-intercept tells the number of fish in the tank before any are sold.
The graph models an increasing function
The average rate of change for the function is 1
Coordinates (20.80) tell how many fish must be sold to have 80 fish remaining in the tank
Answer:
Look it up. it will help you work it out. hope this helped.
Step-by-step explanation:
14 - (9t - 2) < -t + 30
Answer:
t>−74
Step-by-step explanation:
I hope this help helps
What is an equation of the line that passes through the point (−1,−6) and is perpendicular to the line x+6y=6?
[tex]\text{Hello!}[/tex]
[tex]\boxed{y = 6x}[/tex]
[tex]\text{Given equation:}\\x + 6y = 6\\\\\text{Rewrite the equation in the form y = mx + b to find the slope:}\\\\x + 6y = 6\\\\6y = -x + 6\\\\\\\text{Divide all terms by 6:}\\y = -x/6 + 1\\\\\text{Remember that a perpendicular line contains aslope of the negative reciprocal, therefore:}\\\\-1/6x \text{ becomes } 6\\\\\text{Use the coordinates given to find the equation of the perpendicular line:}\\\\(-6) = 6(-1) + b\\\\\\-6 = -6 + b\\\\b = 0\\\\\text{Therefore, the equation is:}[/tex]
[tex]\boxed{y = 6x}[/tex]
Answer:
y=6x
Step-by-step explanation:
honestly i guessed and got it rigth
10.50h + 15c + 50 Identify a coefficient, a variable, and a constant in this expression.
Answer:
50- Constant
c- Variable
10.50- Coefficient
Step-by-step explanation:
