The surface area of the figure is the amount of area covered by the figure.
The figure is not given, so I will give a general solution.
The method followed by Brad to calculate the surface area of the prism is correct.
However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.
So, the conclusion is that:
If Brad's calculation of the surface areas of the prisms is correct, then the surface area of the figure is correct because 1104 + 1008 = 2112.If otherwise, then the solution is incorrectRead more about surface areas at:
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Simple true or false...
d/dx{x^3e^x]=x^3e^x(3x+2)
True or false
Answer:
False.
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringCalculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{d}{dx}[x^3e^x][/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = \frac{d}{dx}[x^3]e^x + x^3 \frac{d}{dx}[e^x][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3 \frac{d}{dx}[e^x][/tex]Exponential Differentiation: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3e^x[/tex]Factor: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex]∴ [tex]\displaystyle \frac{d}{dx}[x^3e^x] \neq x^3e^x(3x + 2)[/tex] but [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex].
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
X cube+6x-16=0
find all solutions by factoring.
answers
(-2,8)
(-8,2)
(2,8)
(-8,-2)
Answer:
(b) {-8, 2}
Step-by-step explanation:
The given equation
x³ +6x -16 = 0
cannot be factored in integers. It has one irrational real root near x=1.759, and two complex roots.
__
Perhaps you want to factor ...
x² +6x -16 = 0
(x +8)(x -2) = 0
This has solutions x = -8 and x = 2 that make the factors be zero.
_____
Additional comment
"Cubed" refers to an exponent of 3.
Answer:
Option b] (2,-8)
Step-by-step explanation:
⇒ x³ + 6x - 16 = 0
♦ the value of one root is irrational and other two are complex roots.
⇒ x² + 6x - 16 = 0
⇒ (x + 8)(x - 2) = 0
⇒ x = 2 , -8
Simplify: –5(3x – 11)
Answer:
40 i think
Step-by-step explanation:
Are these lines perpendicular?
yes
no
Answer: yes they are perpendicular
Please help me with this question.
Answer:
TrueTrueStep-by-step explanation:
Dilation does not affect angles or the direction of lines. The lines of a dilated figure will be parallel to the original, unless they go through the center of dilation.
Line CD does not go through P, so C'D' is distinct and parallel to it (True).
Angles B and B' are congruent. (True)
In which situation would you most likely factor out -1 from a trinomial?
A. When the coefficient of x is negative
B. When the constant term is negative
C. When the coefficient of x^2 is negative
Answer:
when the coefficient of x^2 is negative
Step-by-step explanation:
For this equation: I don't care what the answer is, I need to know how to solve for it. Thanks.
Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29? (4 points)
{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
======================================================
Explanation:
Solve the inequality for x.
5x + 4 < 29
5x < 29-4
5x < 25
x < 25/5
x < 5
I subtracted 4 from both sides (step 2). Then I divided both sides by 5 to fully isolate x (step 4). The inequality sign stays the same the entire time.
Since x < 5, this means the original set {3,4,5,6} becomes {3,4} since these values make x < 5 a true statement. In other words, we erase 5 and 6 because something like 6 < 5 is false.
That's why {3, 4} is the final answer.
---------------
An alternative method is to go through the set {3,4,5,6} and plug those items one by one into the original inequality. If you get a true result, then it's part of the answer.
Let's try x = 3
5x + 4 < 29
5(3) + 4 < 29
15+4 < 29
19 < 29
We get a true statement at the end, so x = 3 is part of the solution set. A similar story happens for x = 4 as well.
If we tried x = 5, then,
5x + 4 < 29
5(5) + 4 < 29
25 + 4 < 29
29 < 29
which is false. No number is bigger than itself (or smaller than itself). Therefore, x = 5 is crossed out of the original set. You should get a false statement for x = 6, which means we'll kick this value out as well.
100 inches = 254 centimeters
Use the conversion above to answer the following questions,
A pencil measures 10 inches, How many centimeters is the pencil?
The pencil measures
centimeters
Answer:
A pencil is about 19 centimeters long
Answer:
if 100 inches=254 centimeters
then 10 inches=x
100x=2540
x=2540/100
x=25.4 centimeters
An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same. Which of the following functions represents the new fees, N(h)?
Answer:
N(h) = 17.5h + 15
Step-by-step explanation:
N(h) = 8.75h + 15 | write original equation
N(h) = 8.75(2) + 15 | multiply the original hourly fee by 2
N(h) = 17.5 + 15 | solve
Stay healthy and happy <3.
Hope this helped.
The required function represents the new fees is given as N(h) = 17.5h + 15.
Given that,
An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function,
C(h) = 8.75h + 15.
Now,
According to the question,
N(h) = 2× 8.75h + 15.
N(h) = 17.5h + 15.
Thus, the required function represents the new fees is given as N(h) = 17.5h + 15.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
If √2 = 1.414, then the value of 1/2 √16200.
please friends koi to solve kar do.
Given that √2 = 1.414
The value of (1/2)√(16200)
16200 can be written as
16200 = 2×8100
16200 = 2×2×4050
16200 = 2×2×2×2025
16200 = 2×2×2×5×405
16200 = 2×2×2×5×5×81
16200 = 2×2×2×5×5×3×27
16200 = 2×2×2×5×5×3×3×9
16200 = 2×2×2×5×5×3×3×3×3
√16200 = √(2×2×2×5×5×3×3×3×3)
√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)
√16200 = 2×5×3×3√2
√16200 = 90√2
Now,
(1/2)√16200
⇛(1/2)×90√2
⇛90√2/2
⇛45√2
⇛45×1.414
⇛63.63
Answer: Hence, value of (1/2)√(16200) is 63.63
also read similar questions: if √2=1.414 and√3=1.732,find the value of 1/√2+√3..
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If √2 = 1.414 then the value of 5+√2 / 5-√2 is..
https://brainly.com/question/25047005?referrer
The value of 1/2√16200 given the value of √2 = 1.414 is 63.63
How to use prime factorization to solve square rootPrime factorization of √16200
= 3 × 3 × 5 × √2
= 90√2
Given:
√2 = 1.4141/2√16200
= 1/2 × 90√2
= 90√2 / 2
= 45√2
= 45 × √2
= 45 × 1.414
= 63.63
Therefore, the value of 1/2√16200 is 63.63
Learn more about prime factorization:
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The leader of the Protestant Reformation was a German monk called ___.
Solve the equation x^2 – 4x – 31=-2x + 25 to the nearest tenth.
Answer:
x=1+sqr57,1-sqr57
Step-by-step explanation:
Answer:
x = -6.5, x = 8.5
Step-by-step explanation:
The given equation ...
x^2 -4x -31 = -2x +25
can be rewritten to a form that facilitates completing the square:
x^2 -2x = 56 . . . . . add 2x+31
x^2 -2x +1 = 57 . . . add 1 to complete the square
(x -1)^2 = 57 . . . . . write the left side as a square
x -1 = ±√57 . . . . . take the square root
x = 1 ±√57 ≈ {-6.5, 8.5} . . . . . add 1, evaluate
Solutions are near x = -6.5 and x = 8.5.
What is the initial value of the exponential function shown on the graph?
A : 0
B : 1
C : 2
D : 4
Will's Burger Place made 29 burgers. 18 of the burgers had onions. What is the ratio of the number of burgers without onions to the total number of burgers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
11:18
Step-by-step explanation:
Hope this helped!
What is the correlation coefficient of y=2.6x+43.1?
Answer:
\mathrm{X\:Intercepts}:\:\left(-\frac{431}{26},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:43.1\right)
Step-by-step explanation:
4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
The zeros of
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
are
x=0,x=-2,x=-5x=0,x=−2,x=−5
EXPLANATION
The given function is
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
x(x + 2)(x + 5) = 0x(x+2)(x+5)=0
This implies that,
x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0
x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
x < - 5x<−5
When
x = - 10x=−10
y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0
The graph is below the x-axis.
- 5 \: < \: x \: < \: - 2−5<x<−2
When
x = - 3x=−3
y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0
The graph is above the x-axis.
- 2 \: < \: x < \: 0−2<x<0
when
x = - 1x=−1
y = -1(1)(4) \: < \: 0y=−1(1)(4)<0
The graph is below the x-axis.
Finally the interval,
x \: > \: 0x>0
when
x = 1x=1
y = 1(3)(6) \: > \: 0y=1(3)(6)>0
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above
Tien works in a music store and earns 10.4% commission on each sale. If Tien sells a guitar and earns $142.25, what is the price of the guitar? Round your answer to the nearest cent.
$1,367.79
$14.79
$13.68
$1,492.79
100 POINTS PLEASE HELP ME 100 POINTS (make fullscreen)
Answer:
1) 64, 2) 6, 3) 26, 4) 33Step-by-step explanation:
#1Sum of interior angles is 180
70 + 46 + x = 180116 + x = 180x = 64#2Sum of interior angles is 180
84 + 7x + 1 + 9x - 1 = 8416x + 84 = 18016x = 96x = 6#3Vertical angles are same, the sum of remaining angles is same for both triangles:
35 + 25 = 34 + x60 = 34 + xx = 60 - 34x = 26#4Exterior angle is same as the sum of non-adjacent interior angles:
5x - 7 + 6x + 3 = 8411x - 4 = 8411x = 88x = 8m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33identicalAnswer:
1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
#1
Sum of interior angles is 180
70 + 46 + x = 180
116 + x = 180
x = 64
#2
Sum of interior angles is 180
84 + 7x + 1 + 9x - 1 = 84
16x + 84 = 180
16x = 96
x = 6
#3
Vertical angles are identical, the sum of remaining angles is the same for both triangles:
35 + 25 = 34 + x
60 = 34 + x
x = 60 - 34
x = 26
#4
The exterior angle is the same as the sum of non-adjacent interior angles:
5x - 7 + 6x + 3 = 84
11x - 4 = 84
11x = 88
x = 8
m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
please help ASAP!!!
Answer: y = 115 and x = 78
Step-by-step explanation:
y = 115 because it is parallel with the angle 115 and parallel are congruent, for x find the angle beside the angle 102 and that angle is parallel with the angle x and that will be 180 - 102 = 78 which is x
Five times the difference of a number and 8 is 19.
The value of y varies directly with x. When y = 35, x=1/2.
what is the value of y when x is 1 1/4?
The function f(x) goes through the point (4, 7). What point will this translate to in the function f(x) = (x - 6) + 3?
a. (10,10)
b. (-2,4)
c. (10,4)
d. (-2,10)
Answer:
a. (10,10)
Step-by-step explanation:
This was by accident the first answer is right
Which number is divisible by both three and nine?
Select the Hint button to view a hint.
A.21,369 B. 36,359 C. 48,618 D. 56,783
Answer:
answer is
A.21,369 or D. 56,783
Step-by-step explanation:
am not sure but am mostly sure it is D but i dont know i think is A to but am
99% is D
hope it helps
Answer:
Your answer is C 48,618
Step-by-step explanation:
if you add the sum up of all of the digits it is divisible by both three and nine.
can i plz get brainliest.
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex](Side-Angle-Side)
༒Question༒
Refer to attachment
nonsense answer will get report
Answer:
Bro if you need help then tell me in comments section
the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.
Using the histogram, the mean of the data-set is estimated to be of 31.
The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.In this problem, the intervals and relative frequencies are:
The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].Hence, the mean is:
[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]
For more on mean of histograms, you can check https://brainly.com/question/24651197
I need help with this and show your work.
Answer:
Step-by-step explanation:
Determine which climbed at a constant rate
A constant rate would produce a straight line. The slope is the same for all the data for that climber. We can either calculate the slope between the first and last intervals and see if the slope changes. Or we can graph the points, which I chose to do. See the attachment.
Note that Joe's rate is not constant. It appears as though he's wearing down. Both Zas and Stephon have constant slopes, so their climbing rates are constant over the period measured.
The slope is the climbing rate:
Joe: Not Constant
Zas: 2.5 feet/sec
Stephon: 4.0 feet/sec
Time to Reach 30 feet
Joe: Unknown - he's slowing down at an unpredictable rate.
For Zas and Stephen, use their slopes in the expression:
Use m for slope (ft/sec): y = m(t) where t is time in seconds
Zas: 2.5 feet/sec: y = 2.5(t) Time to reach 30 is 30/2.5 or 12 sec.
Stephon: 4.0 feet/sec: y = 4.0(t) Time to reach 30 is 30/4.0 or 7.5 sec.
A bag with 12 marbles has 4 red marbles , 3 yellow Marbles ,5 blue marbles. A Marble is chosen from the bag at random . What is the probability that is not red
Answer:
2/3
Step-by-step explanation:
The answer is simple; the number of non-red marbles over the number of total marbles.
10 + (-3 3/8) = i need the answer
Answer:6 . 625 or 6 5/8
Step-by-step explanation
10 + (-3 3/8) (adding a negative is like subtracting a positive)
10 - 3 3/8
6 5/8
Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many pounds of honey is produced if 145 pounds of beeswax
Answer:
1,015
Step-by-step explanation:
7 pounds of honey equals 1 pound of wax
So if we have 145 pounds of was, we multiply 145 by 7
145x7= 1,015