Answers
Put the equation in standard linear form.
[tex]x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}[/tex]
Find the integrating factor.
[tex]\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5[/tex]
Multiply both sides by [tex]\mu[/tex].
[tex](t+5) x'(t) + x(t) = 5(t+5)e^{5t}[/tex]
Now the left side the derivative of a product,
[tex]\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}[/tex]
Integrate both sides.
[tex](t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt[/tex]
On the right side, integrate by parts.
[tex](t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C[/tex]
Solve for [tex]x(t)[/tex].
[tex]\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}[/tex]
Related Questions
100 POINTS Consider this piecewise function.
Plot f (x) on the graph.
NO LINKS
Answers
Answer:
The intervals represent the domain, or the values on the horizontal axis.
When x ≤ -3, the graph should form a straight line at y = 3. Because the interval includes x = -3, the rightmost part of the line should be capped with a closed dot. The line should continue for infinity to the left.
When -3 < x < 4, the graph should form a line with the equation (2x + 1). Because the interval does not include the endpoints, the endpoints should have open dots.
When x ≥ 4, the graph should form a straight line at y = -4. Because the interval includes x = 4, the leftmost endpoint should be a closed dot. The right of the line should continue for infinity.
**The included graph does not take the endpoints into account
Answer:
See attached for graph.
Step-by-step explanation:
Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.
Given piecewise function:
[tex]f(x)=\begin{cases}3 & \textsf{if }x\leq -3\\2x+1 & \textsf{if }-3 < x < 4 \\ -2 & \textsf{if } x\geq 4 \end{cases}[/tex]
Therefore, the function has three definitions:
[tex]f(x)=3 \quad \textsf{when x is less than or equal to 3}[/tex]
[tex]f(x)=2x+1 \quad \textsf{when x is more than -3 and less than 4}[/tex]
[tex]f(x)=-2 \quad \textsf{when x is more than or equal to 4}[/tex]
When graphing piecewise functions:
Use an open circle where the value of x is not included in the interval.Use a closed circle where the value of x is included in the interval.Use an arrow to show that the function continues indefinitely.First piece of function
Substitute the endpoint of the interval into the corresponding function:
[tex]\implies f(-3)=3 \implies (-3,3)[/tex]
Place a closed circle at (-3, 3).
As this piece of the function is f(x) = 3 for any value of x that is less than or equal to -3, draw a horizontal straight line to the left from the closed circle. Add an arrow at the end.
Second piece of function
Substitute the endpoints of the interval into the corresponding function:
[tex]\implies f(-3)=2(-3)+1=-5 \implies (-3,-5)[/tex]
[tex]\implies f(4)=2(4)+1=9 \implies (4,9)[/tex]
Place an open circle at (-3, -5) and (4, 9).
Join the points with a straight line.
Third piece of function
Substitute the endpoint of the interval into the corresponding function:
[tex]\implies f(4)=-2 \implies (4,-2)[/tex]
Place a closed circle at (4, -2).
As this piece of the function is f(x) = -2 for any value of x that is more than or equal to 4, draw a horizontal straight line to the right from the closed circle. Add an arrow at the end.
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find cube roots of -117 + 44i
Answers
By De Moivre's formula, the cubic roots of the complex number are 3 + i 4, - 4.96 + i 0.60 and 1.96 - i 4.60.
How to find the cube root of a complex number
Herein we have a complex number in rectangular form, from which we need its magnitude (r) and direction (θ) and the De Moivre's formula as well. The root formula is introduced below:
[tex]z^{\frac{1}{n} } = r^{\frac{1}{n} }\cdot \left[\cos \left(\frac{\theta + 2\pi\cdot k}{n}\right) +i\,\sin \left(\frac{\theta + 2\pi\cdot k}{n}\right)\right][/tex], for k ∈ {0, 1, ..., n - 1} (1)
Where n is the grade of the complex root.
The magnitude and direction of the complex number are 125 and 0.886π radians, respectively. Thus, by the De Moivre's formula we obtain the following three solutions:
k = 0
z₁ = 2.997 + i 4.002
k = 1
z₂ = - 4.964 + i 0.595
k = 2
z₃ = 1.967 - i 4.597
By De Moivre's formula, the cubic roots of the complex number are 3 + i 4, - 4.96 + i 0.60 and 1.96 - i 4.60.
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On the grid draw y = 4x - 5 for values of c from -2 to 2
Answers
Step-by-step explanation:
shown above but I need words so
A data set contains three points, and two of the residuals are -10 and 20.
What is the third residual?
Answers
If a data set contains three points, and two of the residuals are -10 and 20, the third residual is 10 (option B).
What is a residual?A residual is the difference between the observed value and the estimated value of the quantity of interest.
The residual of a data points should normally sum up to zero (0). This means the following applies:
-10 + 20 + x = 0
x = 10
Therefore, if data set contains three points, and two of the residuals are -10 and 20, the third residual is 10.
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A 2-liter bottle of juice costs $2.80. A box containing six 1/2 liter bottles sells for $3.90. Which option has a higher cost per liter? What is that cost?
A. 2-liter bottle; $1.40
B. Box of six 2-liter bottles; $1.30
C. 2-liter bottle; $2.80
D. Box of six-liter bottles; $3.90
Answers
Answer:
A. 2-liter bottle;$1.40
Step-by-step explanation:
We have to find out which option has the higher cost per liter. To do this we must find out how much each option would be if it was a liter.
1st set up each equation
2-liter = $2.80 we can divide by 2 on both sides of the equal sign and we get 1 liter = $1.40.
6(1/2) liter bottles = $3.90 this becomes 3 liters = $3.90 then we divide by 3 on both sides of the equal sign and we get $1.30
2nd we compare
$1.40(2 liter bottle) > $1.30 (6 1/2 liter bottles)
A total load of 28,800 watts is distributed equally over 15 circuits. What is the load per circuit in watts? i need help with solving this, need a step by step for later on
Answers
Answer:
1,920 watts per circuit
Step-by-step explanation:
To find the load for 1 circuit (per circuit) we can divide 28,800 watts by 15 circuits
28800/15 = 1,920 watts per circuit
There are values of t so that the equation cos t = 5/3.
A. True
B. False
Answers
the statement is false, as there no exist a value of t such that cos(t) > 1.
Is the statement true or false?
Here we have the statement:
"There are values of t so that the equation cos(t) = 5/3"
Now, remember that the range of the sine and cosine equations is given by:
R: -1 ≤ y ≤ 1
And 5/3, the value in the statement, is larger than 1, which is the maximum in the range.
Then the statement is false, as there no exist a value of t such that cos(t) > 1.
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Find (g*f)(3)
f(x)= 7x + 8
g(x)= -1/x
Answers
Answer:
-21-24/x
Step-by-step explanation:
f(x) is a function on his own which is f(x)=7x+8
we multiple it with another function which is g(x)=-1/x
that gives us (g*f)=-7-8/x
then multiple it by 3 we have -21-24x
Drag each pair of coordinates to the correct location on the image. Match each pair of pilar coordinates to the equivalent polar coordinates on the image.
Answers
Answer:
(2, -60) = (-2, 120°) = (2, 300°) = (-2, -240°)(-2, 240°) = (-2, -120°) = (2, 60°) = (2, -300°)Step-by-step explanation:
Equivalent polar coordinates will have the same modulus and some multiple of 360° added to the argument, or the opposite modulus and some odd multiple of 180° added to the argument.
a∠b° = a∠(b+360n)° = -a∠(b +180 +360n)°
(2, -60°)Equivalents will be ...
(2, (-60 +360n)°) = (2, 300°)
(-2, (-60 +180 +360n)°) = (-2, -240°) = (-2, 120°)
(-2, 240°)Equivalents will be ...
(-2, (240 +360n)°) = (-2, -120°)
(2, (240 +180 +360n)°) = (2, -300°) = (2, 60°)
An electrician plans to install solar panels on a rectangular section of roof with an area 180m2. This width of this section of roof is 7 1/5 m across. What is the length of this section of roof?
Answers
Answer: I believe the answer is 25.
Step-by-step explanation:
You convert 1/5 to a decimal.
1/5 = 0.2
then you divide
180 divided by 7.2 = 25
answer is 25.
The equation 2x = 3y − 5 when written in slope-intercept form
Answers
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
What does the problem want us to find:
[tex]\hookrightarrow \text {Slope-intercept form}[/tex]
What is the slope-intercept form:
[tex]\hookrightarrow \text {it is when the function has the y-variable isolated by itself to one side}\\\hookrightarrow \text{and everything else to the other side}[/tex]
Let's apply our knowledge:
[tex]2x =3y-5\\-3y=-5-2x\\y=\frac{2}{3} x+\frac{5}{3}[/tex]
Answer:[tex]y=\frac{2}{3} x+\frac{5}{3}[/tex]
Hope that helps!
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Find the distance between each pair of points. Round your answer to the nearest tenth if necessary
(IMAGE)
Answers
Step by step.
I used Pythagorean theorem to find the diagonal (hypotenuse) of the triangle.
We know the height (y) is 5 and the other leg (x) is 2.
a^2 + b^2 = c^2 is the formula.
Substitute the two legs in for a and b.
5^2 + 2^2 = c^2
29 = c^2
Now take the square root of both sides
5.385 = c
Round to nearest tenth = 5.4 units
Find the critical value Tc for the confidence level c=0.80 and sample size n=29
Answers
Using a calculator, the critical value for the t-distribution with a confidence level c=0.80 and sample size n=29 is of Tc = 1.3125.
How to find the critical value of the t-distribution?It is found using a calculator, with two inputs, which are given by:
The confidence level.The number of degrees of freedom, which is one less than the sample size.In this problem, the inputs are given as follows:
Confidence level of 80%.28 degrees of freedom, as there is a sample size of 29.Hence, using a calculator, the critical value for the t-distribution with a confidence level c=0.80 and sample size n=29 is of Tc = 1.3125.
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In parallelogram DEFG, DH equals X +3, HF equals 3Y, GH equals 2X -5 and HE equals 5Y plus to find the values of X and Y
Answers
The values of X and Y are 30 and 11 respectively
How to determine the values of X and Y?The figure that represents the complete question is added as an attachment
The given parameters are:
DH = X +3
HF = 3Y
GH = 2X -5
HE = 5Y
From the attached parallelogram, we have:
DH = HF
GH = HE
Substitute the known values in the above equation
X + 3 = 3Y
2X - 5 = 5Y
Make X the subject in X + 3 = 3Y
X = 3Y - 3
Substitute X = 3Y - 3 in 2X - 5 = 5Y
2(3Y - 3) - 5 = 5Y
Expand
6Y - 6 - 5 = 5Y
Evaluate the like terms
Y = 11
Substitute Y = 11 in X = 3Y - 3
X = 3*11 - 3
Evaluate
X = 30
Hence, the values of X and Y are 30 and 11 respectively
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Income Statements under Absorption Costing and Variable Costing
The demand for aloe vera hand lotion, one of numerous products manufactured by Smooth Skin Care Products Inc., has dropped sharply because of recent competition from a similar product. The company's chemists are currently completing tests of various new formulas, and it is anticipated that the manufacture of a superior product can be started on December 1, one month in the future. No changes will be needed in the present production facilities to manufacture the new product because only the mixture of the various materials will be changed.
The controller has been asked by the president of the company for advice on whether to continue production during November or to suspend the manufacture of aloe vera hand lotion until December 1. The controller has assembled the following pertinent data:
Smooth Skin Care Products Inc.
Income Statement—Aloe Vera Hand Lotion
For the Month Ended October 31
Sales (400,000 units) $32,000,000
Cost of goods sold 28,330,000
Gross profit $3,670,000
Selling and administrative expenses 4,270,000
Loss from operations $(600,000)
The production costs and selling and administrative expenses, based on production of 400,000 units in October, are as follows:
Direct materials $15 per unit
Direct labor 17 per unit
Variable manufacturing cost 35 per unit
Variable selling and administrative expenses 10 per unit
Fixed manufacturing cost $1,530,000 for October
Fixed selling and administrative expenses 270,000 for October
Sales for November are expected to drop about 20% below those of the preceding month. No significant changes are anticipated in the fixed costs or variable costs per unit. No extra costs will be incurred in discontinuing operations in the portion of the plant associated with aloe vera hand lotion. The inventory of aloe vera hand lotion at the beginning and end of November is expected to be inconsequential.
Required:
Question Content Area
1. Prepare an estimated income statement in absorption costing form for November for aloe vera hand lotion, assuming that production continues during the month.
Smooth Skin Care Products Inc.
Estimated Income Statement—Absorption Costing—Aloe Vera Hand Lotion
For the Month Ending November 30
Sales
$Sales
32,000,000
Cost of goods sold:
Direct materials
$Direct materials
Direct labor
Direct labor
- Select -
- Select -
- Select -
$- Select -
Selling and administrative expenses:
$- Select -
- Select -
blank
blank - Select -
$- Select -
Question Content Area
2. Prepare an estimated income statement in variable costing form for November for aloe vera hand lotion, assuming that production continues during the month.
Smooth Skin Care Products Inc.
Estimated Income Statement—Variable Costing—Aloe Vera Hand Lotion
For the Month Ending November 30
$- Select -
Variable cost of goods sold:
$- Select -
- Select -
- Select -
blank
blank - Select -
$- Select -
- Select -
$- Select -
Fixed costs:
$- Select -
- Select -
blank
blank - Select -
$- Select -
Answers
The estimated income statement for the month shows a loss of $840000.
How to illustrate the income statement?The estimated income statement for the month will be:
Sales = $25,600,000
Less: Cost of goods sold
Direct materials (320000 × 15) = $4,800,000
Direct labor (320000 × 17) = $5,440,000
Variable costing (320000 × 15) = $11,200,000
Fixed manufacturing cost = $1,530,000
Total cost of goods sold = $22970000
Gross profit = $25,600,000 - $22970000 = $2,630,000
Gross profit = $2,630,000
Less:
Variable selling and administrative expense = $3200000
Fixed selling and administrative = $270000
Loss from operations = $840000
Therefore, the estimated income statement for the month shows a loss of $840000.
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Evaluate (f. g)(x) if f(x) = 2x² and g(x) = 3x - 2
Answers
Answer:
18x2 -24 x + 8
Step-by-step explanation:
( f o g) (x) = f ( g(x) ) = f( 3x-2) = 2( 3x-2)2 = 2( 9x2 - 12x + 4) = 18x2 -24 x + 8
Which of the following is equivalent to √√8?
02
O√√2
2√√√2
2 + √2
Answers
Answer:
The correct answer is √2 (√√2)
Step-by-step explanation:
√8 = √(4.2) = 2 √2
√√8 = √(2√2) = √2 (√√2)
Answer:
2 √2 (C)
and to the second question the answer is..
1 (B)
9 (C)
Step-by-step explanation:
I answered it on ed 2022
Please answer asap! If 2 or more people answer I will give brainliest
Answers
Answer:
the answer will be 6 centimeter
A manufacturer of widgets wants to test a new widget-producing machine to determine if it can make an average of 25 widgets per second before deciding to invest in the machine. The standard to reject the new machine is if it makes an average of less than 25 widgets per second. Here are data from a small random sample:
25.6, 26.2, 22.5, 20.5, 26.4, 27.4, 23.6, 26.9, 25.7, 24.9
Assuming the population follows a normal distribution, is there evidence that the new machine should be rejected at the 0.01 significance level? State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.
Answers
Using the t-distribution, it is found that since the p-value is greater than 0.01, there is no evidence that the new machine should be rejected at the 0.01 significance level.
What are the hypothesis tested?At the null hypothesis, it is tested if the average is not less than 25, that is:
[tex]H_0: \mu \geq 25[/tex]
At the alternative hypothesis, it is tested if the average is less than 25, that is:
[tex]H_1: \mu < 25[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.Considering the situation described, the values of the parameters are given as follows:
[tex]\overline{x} = 24.97, \mu = 25, s = 2.16, n = 10[/tex]
Hence the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{24.97 - 25}{\frac{2.16}{\sqrt{10}}}[/tex]
t = -0.04
What is the p-value and the conclusion?Using a t-distribution calculator, for a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -0.04, the p-value is of 0.4844.
Since the p-value is greater than 0.01, there is no evidence that the new machine should be rejected at the 0.01 significance level.
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Please help it would be much appreciated
Answers
Answer:
calcium =1x40=40
chlorine=2x35=70
40+70=110
ca=40/110×100=36.36
when we approximate it become 36.4
thanks
The diagonals of a rectangle enclose an angle of measure 78 degree
. If the perimeter of the rectangle is 36cm, what is its area?
Answers
The area of the rectangle with a perimeter of 36 cm is determined as: 80.1 cm².
What is the Area of a Rectangle?Area of a rectangle = (length)(width).
Given the following:Angle of measure 78 degree enclosed by the diagonals of the rectangle
Perimeter = 36 cm
To find the area, we need to find the length and width of the rectangle using the trigonometric ratios.
A side of the rectangle = x cm
The other side = (36 - 2x)/2 = (18 - x) cm
Angle of the diagonal base = (180 - 78)/2 = 51°
Apply the tangent ratio to find x:
Tangent ratio is tan ∅ = opposite/adjacent side of a right triangle. We have the following,
∅ = 51°
Opposite side = x cm
Adjacent side = (18 - x) cm
Tan 51° = x/(18 - x)
1.235 = x/(18 - x)
1.235(18 - x) = x
22.23 - 1.235x = x
22.23 = x + 1.235x
22.23 = 2.235x
22.23/2.235 = 2.235x/2.235
x = 9.946 cm (one side length)
The other side length = 18 - x = 18 - 9.946 = 8.054 cm
Area of the rectangle = (9.946)(8.054)
Area of the rectangle = 80.1 cm²
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Choose the correct graph of the given system of equations. y + 2x = −1 3y − x = 4 graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1 graph of two lines that intersect at the point 1, 1, with text on graph that reads One Solution 1, 1 graph of two parallel lines with positive slopes with text on the graph that reads No Solution graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions Question 4(Mul
Answers
The system of equations has one solution (-1, 1)
Graph of system of linear equationsFrom the question, we are to graph the given system of equations.
The given system of equation is
y + 2x = −1
3y − x = 4
The graph of the given system of equations is shown below.
From the graph, we can observe that the solution to the given system of equation is given by two lines that intersect at the point (-1, 1).
Hence, the system of equations has one solution (-1, 1)
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I think the answer is A. The first one
What is the component form of the vector that translates the top house figure to the
bottom house figure?
Answers
The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).
What is the vector component form?The component form of a vector is known to be depicted as < x, y >.
Note that:
x - tells the distance or how far to the right or left, a vector is known or seen to be going.
y - tells the distance or how far to the upper part or downward a vector is known or seen to be going.
From the question and looking at the image attached, we were able to obtain (-4,4) and (2, 0)
So:
⇒ (-4,4) --------(-4+6)(4-4)-------(2,0)
⇒ (6,-4)
Hence, The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).
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2. This month Tania saved
6 times as much money
as last month. Last
month she saved $24.
How much did Tania
save this month?
3.
Answers
Hope this helps :)))
Answer:
144
Step-by-step explanation:
24*6
Because this month she saved 6 times as MUCH money compared to last month
how do you compare and contrast the steps of two different constructions using a compass?
Answers
In order to compare and contrast the steps of two different constructions using a compass, we simply take a note of the different steps followed in both the constructions.
How to compare and contrast the steps?
For both the constructions, observe the corresponding steps steps that have been performed in order.
Then, note down what similarity you find while constructing the two different constructions in the first step.
Once you know the the similarities, you can further trace down the differences in the procedure of the two constructions by observing the first step. This is how you can compare and contrast the first step of two different constructions using a compass.
This process can be followed for all the steps for comparing and contrasting two different constructions.
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A 25-pound bag of fertilizer is on sale for $40. What is the price per ounce of the fertilizer?
Answers
Answer:
1.60
Step-by-step explanation:
4 Given that
120 = 2 × 2 ×2×3×5
70 = 2 x 5 x 7
30 = 2 × 3 × 5
a find the highest common factor
b find the lowest common multiple.
Answers
Answer:
hcf is 2*5=10
lcm is 2*2*2*5*3*7*3
Carbon Company provides the following information about resources.
Unused Resources Capacity Cost Driver Volume
Resources used
Materials $ 2,300 9,000 pounds
Energy 2,210 380 machine-hours
Setups 0 87 setups
Purchasing 7,800 80 purchase orders
Customer service 9,700 70 returns
Long-term labor 4,650 330 labor-hours
Administrative 5,950 450 labor-hours
Resources supplied
Materials $ 101,300
Energy 21,590
Setups 24,360
Purchasing 26,200
Customer service 20,200
Long-term labor 29,400
Administrative 30,700
Sales revenue for Carbon Company is $600,000.
Required:
a. Prepare a traditional income statement.
b. Prepare an activity-based income statement.
Answers
a) The preparation of a traditional income statement for Carbon Company is as follows:
Carbon Company
Income Statement (Traditional)Sales revenue $600,000
Costs:
Materials $ 101,300
Energy 21,590
Setups 24,360
Purchasing 26,200
Customer service 20,200
Long-term labor 29,400
Administrative 30,700 $253,750
Operating Income $346,250
b) The preparation of an activity-based income statement for Carbon Company is as follows:
Carbon Company
Income Statement (Activity-based)Sales revenue $600,000
Resources supplied Unused Resources Used Resources
Materials $ 101,300 $ 2,300 $99,000
Energy 21,590 2,210 19,380
Setups 24,360 0 24,360
Purchasing 26,200 7,800 18,400
Customer service 20,200 9,700 10,500
Long-term labor 29,400 4,650 24,750
Administrative 30,700 5,950 24,750
Total $253,750 $32,610 $221,140
Operating Income $378,860
Data and Calculations:Unused Resources Capacity Cost Driver Volume
Resources used
Materials $ 2,300 9,000 pounds
Energy 2,210 380 machine-hours
Setups 0 87 setups
Purchasing 7,800 80 purchase orders
Customer service 9,700 70 returns
Long-term labor 4,650 330 labor-hours
Administrative 5,950 450 labor-hours
Resources suppliedMaterials $ 101,300
Energy 21,590
Setups 24,360
Purchasing 26,200
Customer service 20,200
Long-term labor 29,400
Administrative 30,700
Sales revenue $600,000
Activity-based Calculations:Resources supplied Unused Resources Used Resources
Materials $ 101,300 $ 2,300 $99,000
Energy 21,590 2,210 19,380
Setups 24,360 0 24,360
Purchasing 26,200 7,800 18,400
Customer service 20,200 9,700 10,500
Long-term labor 29,400 4,650 24,750
Administrative 30,700 5,950 24,750
Total $253,750 $32,610 $221,140
Thus, the traditional income statement for Carbon Company shows an operating income of $346,250, while the activity-based income statement shows an operating income of $378,860.
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If one wanted to solve the equation below using the quadratic formula, what would be the b value used to substitute into the quadratic equation.
3x 2 − 2 = - 5x
Answers
Answer:
b = 5
Step-by-step explanation:
All quadratic equations are formed in the format of [tex]a^{2}[/tex] + bx + c = 0
Using this formula, we can re-arrange the equation to fit the given format.
[tex]3x^{2}[/tex] - 2 = -5x
[tex]3x^{2}[/tex] + 5x - 2 = 0
5 is plugged in for "b" in this equation, therefore b = 5.
Evaluate this exponential expression.
OA. 19
OB. 63
OC. 66
OD. 207
6 (4+2)²-32
Answers
Answer: 184
(I am not sure if I have misunderstood the question, but the final answer I got was 184, which wasn't any one of the choices. I was wrong in understanding, please let me know and I will modify my answer)
Step-by-step explanation:
Given expression
6 (4 + 2)² - 32
Simplify values in the parenthesis
6 (6)² - 32
Simplify exponents
6 × 36 - 32
Simplify multiplication
216 - 32
Simplify subtraction
[tex]\Large\boxed{184}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
