The function a represents the cost of manufacturing product a, in hundreds of dollars, and the function b represents the cost of manufacturing product b, in hundreds of dollars
Answer:
7t^2 + 3t + 6
Step-by-step explanation:
The computation of the expression is shown below:
The function describes the manufacturing cost of product A.
a(t) = 5t + 2
Likewise for product B, the manufacturing cost function is
b(t) = 7t^2 - 2t + 4
So if we combined these two, the equation would be presented below
= a(t) + b(t)
= 5t + 2 + 7t^2 - 2t + 4
= 7t^2 + 3t + 6
Hence, the correct option is D
Which 3-dimensional figure is associated with the volume formula V = 1/3 π r 2 h?
A. pyramid
B. cylinder
C. sphere
D. cone
Help ASAP!
Answer
c
Step-by-step explanation:
It is not d because of the way that it is formed
a hat company charges a design fee plus $4 per hat. the total cost of 5 hats is $30. how much will it cost for 3 hats?
Using Algebraic expression solution ,
The cost of three hats is $18 .
We have given that,
A hat company charge for design fee $4 per hat .
i.e design fee of one hat = $4
total cost of 5 hats = $30
let the cost of one hat without design fee be $x and total cost of one hat is $(x+4) .
using the above statement, we get an algebraic expression,
5( x+ 4)= 30
we solve the above algebra expression,
=> 5x + 20 = 30
=> 5x = 10
=> x = 2
so, cost of a hat without design fee is $2
and total cost of one hat is $6.
we have to calculate cost of 3 hats .
cost of one hat in hat company= $ 6
cost of three hats in hat company= $(6×3)
= $18
Hence, the total cost of 3 hats is $18.
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Which expression is equivalent to 9 x squared minus 2 y + 3 x squared minus 3 y? 6 x squared minus y + 6 x squared minus 5 y 6 x squared minus y + 3 x squared minus 4 y 10 x squared minus 4 y + 2 x squared minus y 11 x squared + 2 y + x squared minus 3 y
Answer:
10 x squared minus 4 y + 2 x squared minus y
Step-by-step explanation:
9x^2-2y+3x^2-3y
Collect like terms
9x^2+3x^2-2y-3y
=12x^2-5y
10 x squared minus 4 y + 2 x squared minus y
10x^2-4y+2x^2-y
Collect like terms
10x^2+2x^2-4y-y
=12x^2-5y
9x^2-2y+3x^2-3y is equivalent to
10x^2-4y+2x^2-y
Check all the options
6 x squared minus y + 6 x squared minus 5 y
6x^2-y+6x2-5y
12x^2-6y
6 x squared minus y + 3 x squared minus 4 y
6x^2-y+3x^2-4y
9x^2-5y
10 x squared minus 4 y + 2 x squared minus y
10x^2-4y+2x^2-y
12x^2-5y
11 x squared + 2 y + x squared minus 3 y
11x^2+2y+x^2-3y
12x^2-y
Answer:
C.) 12x squared- 2y- 3y
Step-by-step explanation:
i'm not 100 percent on this but it is the only logical answer, i will comment if i am right or not :) good luck luvs
Help if I don’t do this imma get kicked out
Answer:
A = (-2.5, -1.5)
B = (4.5, -3.5)
Step-by-step explanation:
X coordinates come first, and A is in between -2 and -3 at -2.5, and B is between 4 and 5 so we have 4.5
Then we have y coordinates, and A is between -1 and -2 so -1.5, and B is between -3 and -4, so -3.5.
Verify that W is a subspace of V. Assume that V has the standard operations.
W is the set of all 3x2 matrices of the form [a,b;(a+b),0;0,c] and V=M[-subscript-(3,2)]
The zero vector: The zero vector 0 = [0,0;0,0;0,0] is also a member of W. Thus, the third criterion is satisfied.
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giving brain help please!
help
thanks!!!!!!!!!!!!!!!!!!!!!!!!!
23. What are the roots of the quadratic equation seen below?
f(x) = x? - 16x + 60
(A) x = 6, 10
(B) x =-6, 10
(C) x =- 10, 6
(D) x =- 10,- 6
Is the pair of equations y 0 and y =- 7 will have?
No Solution.
Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution
Three Types of Solutions of a System of Linear EquationsConsider the pair of linear equations in two variables x and y.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.
2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables
3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.
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Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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Why does the expression i to the power 4n+2 is always equal to -1
Answer:
See Below.
Step-by-step explanation:
We are given:
\(i^{4n+2}\)
Using exponent properties:
\(=i^{4n}\cdot i^2\)
Rewriting:
\(=(i^4)^n\cdot i^2\)
Since i⁴ = 1 and i² = -1:
\(=(1)^n\cdot -1\)
1 to any power is still 1:
\(=1\cdot -1 = -1\)
Which expressions are equivalent to one-third 8 d startfraction 5 over 7 endfraction? check all that apply. 1 3 8 d 5 7 8 d one-third startfraction 5 over 7 endfraction startfraction 1 over 7 endfraction 8 d startfraction 5 over 3 endfraction one-third startfraction 5 over 7 endfraction 8 d 3 8 d 7 8 d one-third startfraction 7 over 5 endfraction startfraction 5 over 7 endfraction one-third 8 d
multiply Start Fraction 5 Over 7 End Fraction by 3.
What do math fractions mean?
An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.
Whether it is in the numerator or denominator, a complex fraction contains a fraction.
The numerator and denominator of a correct fraction are opposite each other.
What is basic fraction theory?
Every fraction has two components: the numerator, which is the actual number of parts, and the denominator, which is the total number of parts.
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Answer:
c is the answer i took the test
Step-by-step explanation:
Is (-5, -8) a solution of y > 3x +6?
Answer:
Yes
Step-by-step explanation:
y>3x+6 creates this graph:
Where (-5,-8) is in the shaded area
Write 0.4444 as a fraction in lowest terms:
Answer:
1111/2500
Step-by-step explanation:
or what value of g does the function f(g) = g2 + 3g equal 18?
Answer:
The 2 values that makes the function equal to 18 is 3 and -6
Step-by-step explanation:
First you can convert the quadratic equation from standard form to root form
Step 1: Substitute f(g) = 18
Step 2: Move 18 to the other side to create
0 = g² + 3g - 18
Step 3: Now we rearrange equation from standard form into root form
Step 4: Find what adds to 3 and multiples to -18
-3 and 6 adds to 3 and multiples to -18
Step 5: Now we substitute -3 and 6 into the root equation
0 = (g-3)(g+6)
Step 6: Set the brackets to 0 and solve
g - 3 = 0
g = 3
g + 6 = 0
g = -6
please help with this last question
Answer:
option D is the correct answer of this question .....
Step-by-step explanation:
(c+8 )×(c-5) = c²-5c+8c -40
= c²+3c - 40
plz mark my answer as brainlist plzzzz vote me also
Suppose f(x)=x^2 and g(x)=1/4x^2. Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 4.
B. The graph of g(x) is the graph of f(x) shifted 1/4 units right.
C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
D. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 4.
Answer:
Step-by-step explanation:
Statement A is closest to being correct. To get the graph of g(x), we compress the graph of f(x) vertically due to multiplying f(x) by (1/4).
Answer:
C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
Step-by-step explanation:
a p e x
In parallelogram GHJK if mJKG=115° find m&KGH.
Answer:
x = 65 degree
Step-by-step explanation:
x + 115 = 180 degree (sum of adjacent angles of a parallelogram is 180 degree)
x = 180 - 115
x = 65 degree
A new car can be purchased with a choice of three exterior colors ( g,h and j) and four interior colors ( 1,2,3 and 4). make a organized list of all the possible color combinations for the car.
An organized list of all the possible color combinations for the car is g1, g2, g3, g4
h1, h2, h3, h4
j1, j2, j3, j4
There are a total of 3 exterior colors (g, h, j) and 4 interior colors (1, 2, 3, 4), so there are 3*4 = 12 total possible color combinations for the car. Here is an organized list of all the possible color combinations:
g1, g2, g3, g4
h1, h2, h3, h4
j1, j2, j3, j4
This means that a car can have exterior color g and interior color 1, exterior color h and interior color 2, and so on. There are a total of 12 possible color combinations in this case.
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1. A traveling wave A snapshot (frozen in time) of a water wave is described by the function z=1+sin(x - y) where z gives the height of the wave and (x, y) are coordinates in the horizontal plane z=0. a) Use Mathematica to graph z =1+sin(x - y). b) The crests and the troughs of the waves are aligned in the direction in which the height function has zero change. Find the direction in which the crests and troughs are aligned. c) If you were surfing on this wave and wanted the steepest descent from a crest to a trough, in which direction would you point your surfboard (given in terms of a unit vector in the xy-plane)? d) Check that your answers to parts (b) and (c) are consistent with the graph of part (a).
The partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned.
The given water wave function is graphed as z = 1 + sin(x - y) using Mathematica. The crests and troughs of the wave are aligned in the direction of zero change in the height function, which can be determined by analyzing the partial derivatives. The steepest descent from a crest to a trough corresponds to the direction perpendicular to the alignment of crests and troughs. These conclusions are consistent with the graph of the wave.
The water wave function z = 1 + sin(x - y) represents a snapshot of a frozen water wave. To graph this function using Mathematica, the x and y coordinates are assigned appropriate ranges, and the resulting z-values are plotted.
To determine the alignment of the crests and troughs, we examine the rate of change of the height function. Taking the partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned. Setting dz/dx = 0 gives cos(x - y) = 0, which implies x - y = (2n + 1)π/2, where n is an integer. This equation represents lines in the xy-plane along which the crests and troughs are aligned.
For the steepest descent from a crest to a trough, we need to find the direction of maximum decrease in the height function. This direction corresponds to the negative gradient of the height function, which can be obtained by taking the partial derivatives dz/dx and dz/dy and forming the vector (-dz/dx, -dz/dy). Simplifying this vector, we get (-cos(x - y), cos(x - y)), which represents the direction perpendicular to the alignment of crests and troughs.
Upon examining the graph of the wave, we can observe that the lines of alignment for the crests and troughs match the lines where the height function has zero change, confirming our conclusion from part (b). Similarly, the direction of steepest descent from a crest to a trough, indicated by the negative gradient, aligns with the steepest downward slopes on the graph.
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94 POINTS!!! pls help
The solution to 13x = 78 is x = ___. (Only input whole number)
Numerical Answers Expected!
Answer for Blank 1:
Answer:
Hey love! x = 6
Step-by-step explanation:
because 13 x 6 = 78
HOPE THIS HELPS!
Answer:
x = 6
Work -
13x = 78
divide 13 on both sides to isolate x. 78 divided by 13 gives us 6, and 13/13 =1.
1 times x is x, as you can see, we have isolated x on one side. On the other side, we got 6, so x = 6
In the school competition jenny bounced a ball 150 times in 3 minutes. Express her bouncing rate in its simplest form
Answer:
Jenny bounced the ball 150 times She did that over an interval of 3 minutes To express rate of change over an interval you do \( \frac{change \: in \: motion}{change \: in \: time} \)So you get \( \frac{150}{30} = 50 \: bounces \: per \: minute\)Please rate positively and give brainlistCompare the data from the experiment to the public opinion poll. How does the data collected compare to the media source? Describe the trends in the data and compare the theoretical probability to the empirical probability.
Comparing experiment data to public opinion polls helps evaluate media accuracy, detect biases, and understand the influence on public opinion, while describing data trends and comparing theoretical and empirical probabilities aids in making informed decisions.
Data from an experiment and a public opinion poll have distinct characteristics. Experiment data is obtained through controlled studies, measuring the effects of a variable on another variable. Public opinion polls, however, rely on subjective input from individuals to gauge public sentiment. While both types of data have their significance, comparing the collected data to media sources helps assess accuracy, detect biases, and understand the media's influence on public opinion. Describing trends in the data involves identifying patterns or movements over time, while comparing theoretical probability (calculated mathematically) to empirical probability (based on observed data) aids in understanding likelihoods. These evaluations contribute to obtaining reliable and unbiased data for informed decision-making.In conclusion, comparing the data collected from experiments to public opinion polls allows for the assessment of media accuracy and biases, while analyzing data trends and comparing theoretical and empirical probabilities provides valuable insights for decision-making.
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where did Goku die nnnnnnnnnnnnnnnnnnnnnnnn
Answer:
Goku died you I just started watching
Evaluate p=4 q =2 r=3 s= - 7
Answer:
26
Step-by-step explanation:
solution;
here,
=(2p+3q)(P-q)
=(2*4+3*2)(4-2)
=(8+6)(2)
=13*2
=26
Find w (the measure of the exterior angle).
Answer:
136
Step-by-step explanation:
YALL PLEASE HELP, need to turn this in ASAP
Answer:
I believe the answer is 1,800 :)
Step-by-step explanation:
1,500x0.20=300+1,500=1,800
Hope this helped!
Geometry
Please help me with my homework! Thank you!
Answer:
DH, CG, BF
Explanation:
Since the question is asking which lines are parallel to AE and AE is a vertical line, you need to look at the other vertical lines that are making up the sides of the box. These vertical lines are 1. DH 2. CG 3.BF.
Hope this helps.
What is the slope of the line that passes through the points (0, 6) and (0, -5)?
Write your answer in simplest form.