Answer:
where is the graph
Step-by-step explanation:
Find and simplify the following for f(x)= x(21-x), assuming h#0 in (C). (A) f(x +h) (B) f(x+h) – f(x) (C) f(x+h) – f(x) (D) f(x+h)=
Answer:
A
[tex]f(x + h) = 21x -x^2 -2xh+ 21h+h^2[/tex]
B
[tex]f(x-h)-f(x) = 21h+h^2 -2xh[/tex]
C
[tex]\frac{f(x-h)-f(x)}{h} = 21+h -2x[/tex]
Step-by-step explanation:
From the question we are told that
The equation given is
[tex]f(x) = x (21 - x )[/tex]
Considering A
[tex]f(x + h) = (x + h) (21 - (x + h))[/tex]
[tex]f(x + h) = (x + h) (21 - x - h)[/tex]
[tex]f(x + h) = 21x -x^2 -2xh+ 21h+h^2[/tex]
Considering B
[tex]f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -[ x(21 -x)][/tex]
[tex]f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -21x + x^2[/tex]
[tex]f(x-h)-f(x) = 21h+h^2 -2xh[/tex]
Considering C
[tex]\frac{f(x-h)-f(x)}{h} = \frac{21h+h^2 -2xh}{h}[/tex]
[tex]\frac{f(x-h)-f(x)}{h} = \frac{h(21+h -2x)}{h}[/tex]
[tex]\frac{f(x-h)-f(x)}{h} = 21+h -2x[/tex]
Simplify 200xyz3 .
Simplify the Integer part of the SQRT
Step-by-step explanation:
Factor 200 into its prime factors
200 = 23 • 52
An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10 cm on the drawing for every 8 meters on the sculpture. What is the area of the scale drawing? Show your work.
Answer:
Area of drawing= 0.315 m²
Step-by-step explanation:
Base = 6m
Height = 4.2 m
Area = height* base
Area= 4.2*6
Area= 25.2 m²
The scale is 10 cm on the drawing for every 8 meters on the sculpture.
Which is 10 cm to 800 cm
Or
0.1m to 8m
Arra of sculpture= 25.2 m²
area of drawing= (25.2*0.1)/8
Area of drawing= 0.315 m²
shipping box that is length=3 3/4ft width=3ft height=3 1/4 what is the volume and how to work it out
Answer:
36 9/16 ft^3
Step-by-step explanation:
volume = length * width * height
volume = 3 3/4 ft * 3 ft * 3 1/4 ft
Change all mixed numerals to fractions.
volume = 15/4 * 3/1 * 13/4 ft^3
volume = 585/16 ft^3
volume = 36 9/16 ft^3
A product costs $70 today, how much will the product cost in t days if the price is reduced by $5 a day
Answer:
P ($)=70-5(t)
Where p = price at t days
t = number of days
Step-by-step explanation:
The product price initially = $70
Now, every day , it reduces $5
The rate=$5 per day reduction
The price in the days will be determined by the formula below
P ($)=70-5(t)
Where p = price at t days
t = number of days
So let's assume it's on the second day
The price after the second day
P($) = 70-5(2)
P($) = 70-10
P($)= $60
The price after two days will be reduced to $60
Find the area of each
Answer:
The area should be 56.4
Step-by-step explanation:
When you try to find the area of a triangle you have to multiply the base and height, which was 12km and 9.4 km,and you divide it by 2.
Xavier caught a football and ran for eight yards before being pushed 17 yards backward.
Which equation correctly shows his change in yardage?
А
8 + (-17) = -9
-17 + (-8) = -25
B
С
17 + (-8) = 9
D
8 + 17 = 25
Answer:
Answer A
Step-by-step explanation:Option B is saying that he went back 8 yards and was pushed even farther. Option C is saying he ran foward 17 yards and got pushed back 8. Option D is saying he got pushed foward 17 yards.
Option A is saying that he ran 8 yards and then lost 17 by getting pushed back.
Hiii, helpp thxxxxxx
Answer:
because angles on a straight line add up to 180 degrees substract (180-110), step 2; you will get 70 degrees afterwards the angle y is perpendicular it's 90 degrees.step 3;add (90+70) you get 160 .step 4;then substract (180-160) you get your answer as 20 degrees
Answer:
x = 20º
Step-by-step explanation:
Since it is a triangle, the sum of the internal angles is 180º.
We know that y = 90º, because 110º + 70º = 180º, and the line intercepts it, splitting the larger triangle into 2.
Since, y = 90º, and the other angle is 70º, we add those together to 160º.
Then, we take 180º - 160º = 20º.
x = 20º
Hope this helps.
:)
5. Based on the data in the table, how many
members would you expect in the band in 2018?
Year
Year Number of Band
Members
2014 40
2015 46
2016 54
2017 64
A sequence is defined as an arrangement of numbers in a particular order.
The number of Band members in the year 2018 is expected to be 76.
What is a sequence?A sequence is defined as an arrangement of numbers in a particular order.
We have,
Year Number of Band members
2014 40
2015 46
2016 54
2017 64
We can make a sequence with the number of band members that increases each year.
i.e
40 46 54 64
We see that,
46 - 40 = 6
54 - 46 = 8
64 - 54 = 10
We see that the difference between the consecutive terms is increasing by 2.
So, the next term in the sequence will be 64 + 12 = 76.
Thus the number of band members in the year 2018 is expected to be 76.
Learn more about sequence here:
https://brainly.com/question/16977578
#SPJ5
what are the steps for multiplying monomial algebraic terms where they have exponents with like bases
Answer:
See below.
Step-by-step explanation:
Rule:
[tex] a^m \times a^n = a^{m + n} [/tex]
Explanation:
When multiplying monomials with the same base, write the same base and add the exponents.
Circle the letter for the correct answer.
7 Last summer, we drove cross-
country. The road trip was a total
of 6,765 miles. If we go the same
distance each day for 33 days,
what was the average number of
miles we drove each day?
Answer:
Step-by-step explanation:205
for what value of c is the relation a function?
Answer:the answer is 1, b option i just take the tes
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
the answer is one
Find equations of the spheres with center(3, −4, 5) that touch the following planes.a. xy-plane b. yz- plane c. xz-plane
Answer:
(a) (x - 3)² + (y + 4)² + (z - 5)² = 25
(b) (x - 3)² + (y + 4)² + (z - 5)² = 9
(c) (x - 3)² + (y + 4)² + (z - 5)² = 16
Step-by-step explanation:
The equation of a sphere is given by:
(x - x₀)² + (y - y₀)² + (z - z₀)² = r² ---------------(i)
Where;
(x₀, y₀, z₀) is the center of the sphere
r is the radius of the sphere
Given:
Sphere centered at (3, -4, 5)
=> (x₀, y₀, z₀) = (3, -4, 5)
(a) To get the equation of the sphere when it touches the xy-plane, we do the following:
i. Since the sphere touches the xy-plane, it means the z-component of its centre is 0.
Therefore, we have the sphere now centered at (3, -4, 0).
Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (3, -4, 0) as follows;
[tex]d = \sqrt{(3-3)^2+ (-4 - (-4))^2 + (0-5)^2}[/tex]
[tex]d = \sqrt{(3-3)^2+ (-4 + 4)^2 + (0-5)^2}[/tex]
[tex]d = \sqrt{(0)^2+ (0)^2 + (-5)^2}[/tex]
[tex]d = \sqrt{(25)}[/tex]
d = 5
This distance is the radius of the sphere at that point. i.e r = 5
Now substitute this value r = 5 into the general equation of a sphere given in equation (i) above as follows;
(x - 3)² + (y - (-4))² + (z - 5)² = 5²
(x - 3)² + (y + 4)² + (z - 5)² = 25
Therefore, the equation of the sphere when it touches the xy plane is:
(x - 3)² + (y + 4)² + (z - 5)² = 25
(b) To get the equation of the sphere when it touches the yz-plane, we do the following:
i. Since the sphere touches the yz-plane, it means the x-component of its centre is 0.
Therefore, we have the sphere now centered at (0, -4, 5).
Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (0, -4, 5) as follows;
[tex]d = \sqrt{(0-3)^2+ (-4 - (-4))^2 + (5-5)^2}[/tex]
[tex]d = \sqrt{(-3)^2+ (-4 + 4)^2 + (5-5)^2}[/tex]
[tex]d = \sqrt{(-3)^2 + (0)^2+ (0)^2}[/tex]
[tex]d = \sqrt{(9)}[/tex]
d = 3
This distance is the radius of the sphere at that point. i.e r = 3
Now substitute this value r = 3 into the general equation of a sphere given in equation (i) above as follows;
(x - 3)² + (y - (-4))² + (z - 5)² = 3²
(x - 3)² + (y + 4)² + (z - 5)² = 9
Therefore, the equation of the sphere when it touches the yz plane is:
(x - 3)² + (y + 4)² + (z - 5)² = 9
(b) To get the equation of the sphere when it touches the xz-plane, we do the following:
i. Since the sphere touches the xz-plane, it means the y-component of its centre is 0.
Therefore, we have the sphere now centered at (3, 0, 5).
Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (3, 0, 5) as follows;
[tex]d = \sqrt{(3-3)^2+ (0 - (-4))^2 + (5-5)^2}[/tex]
[tex]d = \sqrt{(3-3)^2+ (0+4)^2 + (5-5)^2}[/tex]
[tex]d = \sqrt{(0)^2 + (4)^2+ (0)^2}[/tex]
[tex]d = \sqrt{(16)}[/tex]
d = 4
This distance is the radius of the sphere at that point. i.e r = 4
Now substitute this value r = 4 into the general equation of a sphere given in equation (i) above as follows;
(x - 3)² + (y - (-4))² + (z - 5)² = 4²
(x - 3)² + (y + 4)² + (z - 5)² = 16
Therefore, the equation of the sphere when it touches the xz plane is:
(x - 3)² + (y + 4)² + (z - 5)² = 16
By using the general sphere equation and what we know about planes, we will get:
a) (x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 5^2b) (x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 3^2c) (x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 4^2.General sphere equation.The general sphere of radius R centered in the point (a, b, c) is given by:
(x - a)^2 + (y - b)^2 + (z - c)^2 = R^2
If we want a sphere centered in (3, -4, 5) we will have:
(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = R^2
a) We want the sphere to touch the xy-plane, (with z = 0) then the radius must be at least equal to the z-component of the point, so we have R = 5, then the equation is:
(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 5^2
b) This time is the yz-plane, so the radius must be equal to the x-component.
(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 3^2
c) Finally, the xz-plane, this time the radius must be equal to the y-component.
(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 4^2
If you want to learn more about spheres, you can read:
https://brainly.com/question/10171109
You buy a new wheel for your bicycle. Thaw diameter of the bicycle wheel is 22 inches.What is the radius of the bicycle wheel?What is the circumference of the bicycle wheel?What is the area of the bicycle wheel?
Answer:
Radius= 11
Circumference= 69.12
Area= 380.133
Step-by-step explanation:
Radius is half of the diameter.
Circumference is 2[tex]\pi[/tex]r.
Area is [tex]\pi r^2[/tex].
What is the solution to the equation 1 + 3x = -13 + 5x? Convert your answer to a decimal, if necessary.
Answer:
x=7
Step-by-step explanation:
[tex]1 + 3x = - 13 + 5x[/tex]
Collect like terms and simplify
[tex]3x - 5x = - 13 - 1 \\ - 2x = - 14[/tex]
Divide both sides of the equation by -2
[tex] \frac{ - 2x}{ - 2} = \frac{ - 14}{ - 2} [/tex]
Simplify
[tex]x = 7[/tex]
Answer:
Step-by-step explanation:
1 + 3x = 5x - 13
-2x + 1 = -13
-2x = -14
x = 7
Rank the items from 1 to 4 based on their unit prices.
Use the drop-down menus to label the least expensive
item per pound with "1" and the most expensive item
per pound with "4."
Avocados:
Broccoli:
Carrots:
Onions:
Answer:Avocados:4
Broccoli:3
Carrots:2
Onions:1
Step-by-step explanation:I did the question it is correct.
Please answer this correctly without making mistakes
She will most likely finish graduation portraits.
I'm not to sure so try not to pick my answer.
I will give the brainiest
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more
per pound than the almonds. She pays a total of $48. Select all the correct statements about
this situation.
A.One pound of pistachios plus 1 pound of almonds cost $20.
B.Reducing the number of pounds of almonds by one results in a total cost of $40.
C.The pistachios cost twice as much per pound as the almonds.
D.The costa, in dollars of 1 pound of almonds is modeled as 2(a - 4) + 3a = 48.
E.
The cost p, in dollars, of 1 pound of pistachios is modeled as 2p + 3(p - 4) = 48.
Answer:
A;C;E
Step-by-step explanation:
Let cost of almond per pound be X
Cost of 3 pounds of almonds=3X
cost of pistachios per pound = X+4
Cost of 2 pounds of pistachios=2X+8
Total cost=5X+8=48
5X+8=48
5X=40
X=8
cost of one pound almond is $8
cost of one pound pistachios is $12
Please mark it brainly
The revenue from the sale of specialty golf hats is given by the function R(x) = 31x, where x is the number of hats sold.
a. What is R(200)? Interpret this result
b. What is the revenue from the sale of 3000 hats? Write this in functional notation.
a. R(200) =
Answer:
[tex]R(200) = 6200[/tex]
[tex]R(3000) = 93000[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 31x[/tex]
Solving (a): R(200)
[tex]R(x) = 31x[/tex]
Substitute 200 for x
[tex]R(200) = 31 * 200[/tex]
[tex]R(200) = 6200[/tex]
This means that the revenue from 200 hats is 6200
Solving (b): Revenue from 3000 hats
[tex]R(x) = 31x[/tex]
Substitute 3000 for x
[tex]R(3000) = 31 * 3000[/tex]
[tex]R(3000) = 93000[/tex]
The above represents the functional notation and the revenue sale is 93000
Somebody please help!!!
(Dont judge me I forgot)
Answer:
16. 200+3
17. 30+4+0.1+0.02+0.007
18. 200+70+6+0.1+0.03
19. 30000000+4000000+100000+20000+3000+6
Step-by-step explanation:
What is the value of the product (3 – 2i)(3 + 2i)? 5 9 + 4i 9 – 4i 13
Answer:
13
Step-by-step explanation:
(3-2i)(3+2i)
as (a+b)(a-b) =a²-b²
3²-(2i)²
=9-(4*-1)
=9-(-4)
=9+4
=13
Hope this helps you!
Answer:
13
Step-by-step explanation:
3^2=9, 2i*(-2i)=-4i^2=4
the 6i and -6i cancel leaving the positive 9 and 4
9+4=13
Use the slope formula to find the slope of the line through the points (1, -2) and (-2,8).
Sorn thatic in
Answer:
Step-by-step explanation:
(8 + 2)/(-2 - 1)= -10/3
Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is 1. -0.
Give an equation which describes the intersection of this sphere with the plane z = 0.
(a) x² + y² + z² + 18(x - y + z) + 218 = 0
(b) (x + 9)² + (y - 9)² + 56 = 0
Step-by-step explanation:
The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;
(x - x₀)² + (y - y₀)² + (z - z₀)² = r² ------------------(i)
From the question:
The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.
Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;
(x - (-9))² + (y - 9)² + (z - (-9))² = 5²
(x + 9)² + (y - 9)² + (z + 9)² = 25 ------------------(ii)
Open the brackets and have the following:
(x + 9)² + (y - 9)² + (z + 9)² = 25
(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25
x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25
x² + y² + z² + 18(x - y + z) + 243 = 25
x² + y² + z² + 18(x - y + z) + 218 = 0 [equation has already been normalized since the coefficient of x² is 1]
Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:
x² + y² + z² + 18(x - y + z) + 218 = 0
(2) To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;
(x + 9)² + (y - 9)² + (0 + 9)² = 25
(x + 9)² + (y - 9)² + (9)² = 25
(x + 9)² + (y - 9)² + 81 = 25 [subtract 25 from both sides]
(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25
(x + 9)² + (y - 9)² + 56 = 0
The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0
Solve for x
X + 2w = m
Answer:
X = m - 2w
Step-by-step explanation:
just isolate the variable.
Answer:
x=m-2w
Step-by-step explanation:
Just take the +2w to the other side where it becomes negative.
Mary brought chocolate and vanilla cupcakes to school for her birthday. 21 students picked a vanilla cupcake and 7 students picked a chocolate cupcake. What percentage of the students picked a vanilla cupcake?
Answer:
75%
Step-by-step explanation:
Total = 21 + 7
= 28 cupcakes
Vanilla cupcakes = 21 / 28 x 100
= 0.75 x 100
= 75%
Answer:
75%
Step-by-step explanation:
21+7=28
21 divided by 28 is equal to 0.75. 0.75 x 100 = 75%
Please choose my answer as the brainliest. It gets me to the next level!
A small apple weighs 4.5 ounces. if
it is divided into 4 equal Pieces, how
much dose each piece weighs
Answer:
1.125
Step-by-step explanation:
Each piece weighs 1.125 ounces
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that small apple weighs 4.5 ounces.
if it is divided into 4 equal Pieces then
Therefore, Weight of apple = 4.5 ounces
Total pieces = 4
Now Weight of 1 piece = 4.5 ÷ 4
= 1.125
Hence the answer is 1.125 ounces
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ5
*!* find the area and perimeter of the shapes below.
Answer:
a: 15 in
b:210 cm
c: 21 yds
Step-by-step explanation:
a: to find the area of a triangle multiply the base and the height, then divide the result by two.
b: to find the area of a trapezoid, multiply the median ( the point where the opposite corners cross) and the height.
c: to find the area of a parallelogram, multiply the lenght and the height.
Hope this helps!
design a Boolean circuit that verifies whether a given integer 0 ≤ x < 16 is divisible by 5
This question is incomplete, the complete question is;
Your boss asks you to design a Boolean circuit that verifies whether a given integer 0 < x < 16 is divisible by 5.
Every such number is represented in binary using four bits, say b₃b₂b₁b₀, and so your Boolean circuit will have four inputs. For instance, the number 13 is written in binary as 1101 and so to test its divisibility by 5 a user would feed the values b₀ = 1, b₁ = 0, b₂ = 1, and b₃ = 1 into the inputs of your circuit.
The Boolean circuit will have a single output, which should deliver the value 1 if the iput values represent a number that is divisible by 5 and 0 otherwise.
a) write down the truth table of the Boolean function F(b₀,b₁,b₂b₃) that implements this "divisible by 5" operation
b) construct a Boolean expression in disjunctive normal form that implements the Boolean function yo wrote down in a)
Answer:
Given that;
integer range = 0≤ x ≤ 16
within 4bits, we can represnt each number
(0,5,10,15)
a)
Truth table for function that implements divisible by 5
Integer B3 B2 B1 B0 Y
0 0 0 0 0 1
1 0 0 0 1 0
2 0 0 1 0 0
3 0 0 1 1 0
4 0 1 0 0 0
5 0 1 0 1 1
6 0 1 1 0 0
7 0 1 1 1 0
8 1 0 0 0 0
9 1 0 0 1 0
10 1 0 1 0 1
11 1 0 1 1 0
12 1 1 0 0 0
13 1 1 0 1 0
14 1 1 1 0 0
15 1 1 1 1 1
b)
Boolean expression that implements the Boolean function from a)
from the truth table;
Boolean expression Y is;
Y = b⁻₃b⁻₂b⁻₁b⁻₀ / y₁ + b⁻₃b₂b⁻₁b₀ / y₂ + b₃b⁻₂b₁b⁻₀ / y₃ + b₃b₂b₁b₀ / y₄
Answer:
circuit is in the second attachment
Step-by-step explanation:
Attached is a truth table for the desired circuit, where b3–b0 are the input bits, MSB–LSB. We notice that the output is true whenever b3=b1 and b2=b0. This can be written in DNF as ...
[tex]Y=b_3'b_2'b_1'b_0'+b_3b_2'b_1b_0'+b_3'b_2b_1'b_0+b_3b_2b_1b_0[/tex]
More compactly, it can be written in terms of the exclusive-nor function as ...
[tex]y=(b_3\odot b_1)\wedge(b_2\odot b_0)[/tex]
A circuit diagram showing this circuit is the second attachment. (A–D are the input bits, in order MSB–LSB (or its reverse)).
McCoy Brothers manufactures and sells two products, A and Z in the ratio of 5:2. Product A sells for $86; Z sells for $124. Variable costs for product A are $45; for Z $49. Fixed costs are $429,500. Compute the contribution margin per composite unit.
Answer:
the contribution margin per composite unit is $365
Step-by-step explanation:
The computation of the contribution margin per composite unit is shown below:
= Contribution margin per unit for product A × ratio of A + Contribution margin per unit for product B × ratio of B
= ($86 - $45) × 5 + ($124 - $49) × 2
= $205 + $160
= $365
Hence the contribution margin per composite unit is $365
ILL GIVE YOU BRAINLIST !!!
HAVE TO GET IT RIGHT
Evaluate the expression given the replacement values.
Answer:
[tex]-\frac{15}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} ^{2}[/tex]= [tex]\frac{1}{16}[/tex]
2*(pq)= 2([tex]\frac{1}{6}[/tex])= [tex]\frac{1}{3}[/tex]
-3[tex]q^{2}[/tex]= -3[tex](\frac{4}{9} )[/tex]= [tex]-\frac{4}{3}[/tex]
[tex]\frac{1}{16} +\frac{1}{3}-\frac{4}{3}[/tex]=
[tex]\frac{1}{16} -1[/tex]=
[tex]-\frac{15}{16}[/tex]