Width of second pan become 11.2 inches
What do you mean by similar figures?
Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape.
The term "similar figures" refers to two figures that share the same shape but differ in size.
When two figures are comparable, the sign ‘∼’ is used to indicate that they are.
It is given that Amelia has similar cake pans. The first pan is 10 inches long and 8 inches wide. The second pan is 14 inches long.
We know that the ratio of the sides of the similar figures is always equal,
So , [tex]\frac{10}{8}=\frac{14}{x}[/tex]
where x is the width of second pan.
Solve the above equation using cross multiplication we get,
x = [tex]\frac{14 \times 8}{10} = \frac{112}{10}=11.2[/tex]
Hence, width of second pan become 11.2 inches
To learn more about the similar figures from the given link.
https://brainly.com/question/4381215
#SPJ1
the gas mileage for a certain model of car is known to have a standard deviation of 4 mi/gallon. a simple random sample of 81 cars of this model is chosen and found to have a mean gas mileage of 27.5 mi/gallon. construct a 95% confidence interval for the mean gas mileage for this car model.
The 95% confidence interval for the mean gas mileage for this car model is (26.26, 28.74) mi/gallon.
The confidence interval for a statistical data is written as-
(x+ zr/√n, x- zr/√n)
Here, we are given that-
Mean ⇒ x = 27.5 mi/gallon.
Standard deviation ⇒ r = 4 mi/gallon
Number of samples ⇒ n = 49
and Confidence interval = 95%
z-score at 95% confidence level = 2.17
Substituting the values we have;
= [27.5 - 2.17(4.0) /(√49), 27.5 + 2.17(4.0) /(√49)]
= (27.5 - 8.68 / 7, 27.5 + 8.68 / 7)
= (27.5 - 1.24, 27.5 + 1.24)
= ( 26.26, 28.74)
Therefore, the 95% confidence interval for the mean gas mileage for this car model is (26.26, 28.74) mi/gallon.
Learn more about confidence interval here-
https://brainly.com/question/29570668
#SPJ4
What value does each equation need to be multiplied by in order to eliminate the x-terms?
Equation 1: 6x − 5y = -4
Equation 2: 4x + 2y = 28
Please help
You need to find what x is equal to for each equation, so you can sub why x is equal to in the place I'd x to eliminate the variable
1. 6x-5y=-4
6x=5y-4
X=5/6y-2/3
2. 4x+2y=28
4x=-2y+28
X=-1/2y+7
Hope this helps!
An airplane flies 370 miles from point A to point B with a bearing of 24" . It then flies 240 miles from point B to point € with a bearing 0f 37" Draw diagram of the information. Then find the distance from point A to point C and the bearing from point A to point C
229.5 miles separate point A from point C
What is the short definition of cosine law?
According to a trigonometrical rule, the square of a side in a plane triangle is equal to the sum of the squares of the other sides minus twice that amount plus the cosine of the angle between the other two sides.
Given:
Angle AB = 370 miles 24 degrees is A.
Angle BC = 240 miles 37 degrees is B.
Since we have two angles and two sides of a regular triangle, we can apply the cosine law to calculate the distance between points A and C.
Angle B, which is 37 degrees, is the angle opposite side AC.
(AC)^2 =(AB)^2 + (BC)^2 - 2(AB)(BC)cos(B)
solve for AC:
(AC)^2 =(370)^2 + (240)^2 - 2(370)(240)cos(37)
229,48 miles equal AC.
Therefore, 229.5 miles separate point A from point C.
Learn more about cosine law
https://brainly.com/question/4372174
#SPJ4
Which angle is an adjacent interior angle to ∠jkm? ∠jkl ∠mkl ∠klm ∠lmk
∠mkj angle is an adjacent interior angle to ∠jkm
Adjacent interior angles are two angles that share a common vertex and a common side. In the given angle ∠jkm, the common vertex is at point "k" and the common side is the line segment joining points "j" and "m". Therefore, the adjacent interior angle to ∠jkm is ∠mkj.
Learn more about angle here
https://brainly.com/question/28451077
#SPJ4
a 28 year old man plays 165 for a one year life insurance policy with coverage of 140000 if the probability that he will live through the year is 0.9994 what is his expected value for the insurance polixy
The insurance policy's anticipated value is -$81 for the one year life insurance policy.
Explain the term insurance policy?Term insurance is a form of life insurance policy which offers protection for a certain "term" of years, or a set amount of time.A deceased person will be paid if the insured passes away while the term insurance is still in effect and the insurance is active.Consider the various factors and the man's potential benifits.
-$165 because he already paid that sum.
The beneficiary could earn as a potential profit.
140000-165 = $139835
The probability of surviving is 0.9994.
The likelihood of not living is 0.0006.
The expected value is given by;
E(v) = (-165)(0.9994) + (139835)(0.0006)
E(v) = -164.901 + 83.901
E(v) = -81.
Thus, the insurance policy's anticipated value is -$81.
To know more about the insurance policy, here
https://brainly.com/question/26924378
#SPJ4
mr. eaton is ordering sandwiches for a school picnic. the best deal is the 6-foot-long sandwich, which is cut into 4-inch-long pieces. mr. eaton expects 90 people to attend the picnic. he thinks each person will eat 2 pieces. how many 6-foot-long sandwiches should he order?
He should order 10 sandwiches of 6 foot long so, as to make sure that everyone will eat 2 pieces.
What is Conversion ?We need to convert between the units in order to ensure the accuracy and to prevent measurement misinterpretation. For example, we do not measure the pencil's length in kilometres. In this situation, one must convert from kilometres (km) to centimetres (cm) (cm). In most cases, multiplicative conversion factors are used to convert one unit to another of the same quantity. Let's see how to change the length and mass units.
1 Feet = 12 Inches
So, 6 Foot = 72 inches
The Length of sandwich- piece is 4 inch
So, when we convert 6 foot long sandwich into 4 inch,
Then we get number of piece is = 72/4 = 18
From 6 foot long sandwich we get 18 pieces of 4 inch long sub.
Now, Total people who will attend picnic is 40
and each people will eat 2 pieces.
It means total number of piece required = 2 (90) = 180
Mr. eaton required 180 pieces of sandwiches.
Number of sandwiches = 180 / 1.8 = 10
He should order 10 sandwiches of 6 foot long.
To learn more about, Conversion ,Visit :
https://brainly.com/question/28754686
#SPJ4
1. Malik wants to buy his brother a hover board for his birthday.
He was hoping to spend only $150 total on his gift. Target was
having a 20% off sale on their hoverboards. Can Malik afford
the hoverboard with the discount?
Using percentage formula, Malik can afford the board with the discount only if he has $120 with him
PercentageA percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
To know if Malik can afford the hoverboard, we have to calculate 20% of 150
20% of 150 = 20/100 = x /150
0.2 = x / 150
x = 150 * 0.2
x = 30
Subtracting the discount, the amount will be 150 - 30 = 120
Malik can afford the hoverboard if he has $120 with him.
Learn more on percentage here;
https://brainly.com/question/843074
#SPJ1
Please help me with this 2 problems
[9] Answer: x = 4
Step-by-step explanation:
Both of these problems use triangle's exterior angles. We will set up an equation and solve. The two opposite angles are equal to opposite exterior angle. After writing our equation, we will solve and isolate the variable using inverse operations.
17x + 1 + 18x + 3 = 144
35x + 4 = 144
35x = 140
x = 4
[10] Answer: x = 3
Step-by-step explanation:
Both of these problems use triangle's exterior angles. We will set up an equation and solve. The two opposite angles are equal to opposite exterior angle. After writing our equation, we will solve and isolate the variable using inverse operations.
20x + 23x + 1 = 130
43x + 1 = 130
43x = 129
x = 3
Sin y = 4xy + x^2. Find dy/dx
Answer:
dy/dx=(4y+2x)/(cos y-4x)Step-by-step explanation:
Siny= 4xy +x²
dy/dx(cos y) =4y+ 4x(dy/dx)+2x
making dy/dx the subject
dy/dx(cos y)-4x(dy/dx)=4y+2x
dy/dx(cos y -4x)=4y+2x
dy/dx=(4y+2x)/(cos y -4x)
What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2? enter your answer, as a decimal, in the box. do not round your answer.
The average rate of change of the function f(x) is found as -3.75.
Explain the term average rate of change?The rate about which one value in a function evolves in proportion to another is known as the average rate of change. The slope of a graphical representation function is typically calculated using the average rate of change.The formula for the average rate of change (A(x)) of f(x) over the interval [a,b] is:
A(x) = f(b) - f(a) / b - a
The function being:
f(x) = 20.(1/4)ˣ
Its average rate of change between x = 1 to x = 2 must be determined.
At x = 1
Then;
f(x) = 20.(1/4)¹
f(1) = 5
At x = 2
Then;
f(x) = 20.(1/4)²
f(2) = 1.25
Add these to the formula above to get;
A(x) = f(2) - f(1) / 2 - 1
A(x) = - 3.75
Consequently, the average rate of change of a function f(x) between x = 1 and x = 2 is -3.75.
To know more about the average rate of change, here
https://brainly.com/question/24313700
#SPJ4
HELPPP IT IS MATH AGIAN NOOO
Answer:
9 is 8 hours and 10 is 10 hours
Answer:
9. 8 Hours
10. 10 hours
Step-by-step explanation:
48 ÷ 4 = 12 The unit rate is 12 per hour
12x = 96 Divide both sides by 12
x = 8
54 ÷ 6 = 9 The unit rate is 9 per hour
9x = 90 Divide both sides by 9
x = 10
duke energy reported that the cost of electricity for an efficient home in a particular neighborhood of cincinnati, ohio, was $104 per month. a researcher believes that the cost of electricity for a comparable neighborhood in chicago, illinois, is higher. a sample of homes in this chicago neighborhood will be taken and the sample mean monthly cost of electricity will be used to test the following null and alternative hypotheses. h0: μ ≤ 104 ha: μ > 104 (a)assume the sample data lead to rejection of the null hypothesis. what would be your conclusion about the cost of electricity in the chicago neighborhood?
When the null hypothesis is rejected
The conclusion is that there is enough evidence to support the claim of the researcher
When a type I error occurs. The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect
When a type II error occurs. The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct
From the question we are told that,
Generally if the null hypothesis is rejected then the conclusion would be that there is enough evidence to support the claim of the researcher
Generally a Type I error is a an error that occurs when the null hypothesis is incorrectly rejected
So in the case of this question the consequence of making this type of error is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect
Generally a Type II error is an error that occurs when the null hypothesis is incorrectly not rejected
So in the case of this question the consequence of making this type of
error is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct.
To know more Null Hypothesis about this visit,
https://brainly.com/question/18120257
#SPJ4
if a person is making the minimum salary for a construction worker, they are making more than what percentage of teachers?
If a person is making a minimum salary for a construction worker, in that case, they will make more than 75% of the teachers.
A salary is a form of periodic fee from a corporation to a worker, which can be laid out in an employment contract. it is contrasted with piece wages, in which every task, hour, or other unit is paid one after the other, in place of on a periodic foundation. From the factor of view of going for walks in a commercial enterprise, revenue can also be considered as the fee of obtaining and keeping human sources for jogging operations and is then termed personnel fee or salary cost. Payroll accounts are used in accounting to record.
Salary is a hard and fast amount of cash or compensation paid to a worker via an enterprise in return for work executed. salary is generally paid in fixed durations, for example, monthly bills of 1-twelfth of the annual salary.
To learn more about Salary visit here:
brainly.com/question/3315407
#SPJ4
PLS HELP ASAP!!!!!! 100 PTS ANSWER BOTH REASON 6 AND 7! ALL CHOICES ARE THE SAME
Answer:
CPCTC
Step-by-step explanation:
BD is perpendicular to AC, forming two right triangles. The hypotenuses are congruent, as is our leg that we will call b. If we use Law of Sines to find our angles a and c (no matter the values), we would find that because b is the same leg in both triangles and the hypotenuses are congruent, angles a and c are congruent, so therefore your missing angle in both triangles is congruent, and using a trig function will find that AD and CD are congruent, making all of both triangles congruent.
What is the common difference in the sequence 17, 21, 25, 29, 33
Answer: 4
Step-by-step explanation:
Every number you get is 4 higher than the previous number
100 + 100 + 100 + 1000 = X
Answer:
1300=X
Step-by-step explanation:
Answer:
1,300
Step-by-step explanation:
You would first start off with adding 100 + 100= 200. Then you would add another 100 to 200 which is 300. Then comes the final step which is adding 1000 to 300 which = 1300
X= 1,300
ohnny is a sophomore in college and has a 1.5 cumulative grade point average (gpa). johnny's cumulative gpa will fall even further next semester if he performs worse than (i) his cumulative gpa. (ii) he ever performed before. (iii) he did last semester.
The value of the solution is B i.e., his cumulative gpa (i), he ever performed before (ii)
What do you mean by statistics?The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.
What are types of statistics?The two types of statistics are: Descriptive and inferential.
With the alternatives available, Johnny can only do worse if his performance falls short of both his lifetime GPA and his previous best performance. It's possible that the last scenario, in which Johnny performed worse than last semester, won't necessarily have an impact on his GPA. A cumulative GPA represents Johnny's overall GPA since he first began attending school. Considering that his most recent semester may have been one of his best and had a solid outcome, earning a result somewhat below that of his previous semester may not necessarily result in a drop in his cumulative GPA. Therefore, choice B is right.
To learn more about statistics click the following link:-
https://brainly.com/question/14976775
#SPJ4
If 6s=24, does 6s÷6=24÷6?
Answer:
i need points
Step-by-step explanation:
diego brought a box of 120 colored pencils to school. he gave 14 pencils to marcus and 32 pencils to anna. how many pencils did diego have left
Diego will have 74 pencils remaining after giving 14 pencils to Marcus and 32 pencils to Anna.
The question is about simple Subtraction. First, we know that the total number of colored pencils in the box is 120. Following is the step-by-step explanation for this question.
Let suppose,
Total Colored pencils = x = 120
Pencils given to Marcus = y = 14
Pencils are given to Anna = z = 34.
And, Total Pencil Remaining = R =?
We can show the given information in the equation as given below:
R = x - y - z
By putting the value in the above equation:
R = 120 - 14 -34
R = 74.
So, after giving the 14 and 32 pencils to Marcus and Anna, respectively. Marcus would remain with 74 Pencils.
To learn more about Subtraction, click here
brainly.com/question/27351494
#SPJ4
Aaron separates 11 carrot sticks equally among 3 bags.
Drag carrots to show how many carrots will be in each bag and how many carrots will be left over.
Answer:
there will be 3 carrots in each bag and you will have 2 carrots left over
Step-by-step explanation:
hope this helps
Please help i’m so confused !!
Answer: 40.24
Step-by-step explanation: Use the Pythagorean Theorem
a^2 + b^2 = [tex]\sqrt[2]{c}[/tex]
36^2 + 18^2 = [tex]\sqrt[2]{1620}[/tex]
1296 + 324 = 1620
[tex]\sqrt[2]{1620}[/tex] = 40.24
Choose the expression that is equivalent to the quantity 5 raised to the negative second power times 5 raised to the sixth power end quantity all raised to the negative third power.
1 divided by 5 raised to the twelfth power
negative 1 divided by 5 raised to the twelfth power
−5^12
5^26
5⁻¹² is the expression that is equivalent to the quantity 5 raised to the negative second power times 5 raised to the sixth power end quantity all raised to the negative third power.
What is Expression?An expression is combination of variables, numbers and operators.
Given,
5 raised to the negative second power times 5 raised to the sixth power end quantity all raised to the negative third power.
This sentence can be written in the form below
(5⁻² × 5⁶)⁻³
According to laws of indices, we know that;
(a²)³ = a⁶
Thus;
(5⁻² × 5⁶)⁻³=(5⁻² )⁻³×(5⁶)⁻³
⇒ 5⁶ × 5⁻¹⁸
When bases are same then the powers will be added
⇒ 5⁶ × 5⁻¹⁸
⇒ 5⁻¹²
Hence, 5⁻¹² is the expression that is equivalent to the quantity 5 raised to the negative second power times 5 raised to the sixth power end quantity all raised to the negative third power.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ1
Answer:
1 divided by 5 raised to the twelfth power
Step-by-step explanation:
both of them equal the same thing
what is the answer to 2 (x + 14)=90
Answer:
x = 31
Step-by-step explanation:
Distribute 2 to x which equals 2x, and 2 times 14 which equals 28, which gets you to 2x + 28 = 90, then subtract 28 from 90, which leads you to
2x =62, and the final step is to divide 2 from 62 which gets you 31.
The following information was collected from a simple random sample of a population. 9 13 15 15 21 24 The point estimate of the population standard deviation is Select one: O a. 59.1. O b. 7.688. O C. 7.018. O d. 49.25.
The point estimate of the population standard deviation is 5.91 (Option A)
Standard deviation refers to the spread of a data distribution and measures the distance between each data point and the mean. The sample standard deviation (s) is a point estimate of the population standard deviation σ.
The mean of the population ẋ = sum of all values/ total number of values = 97/6 ≈ 16
The point estimate of the population standard deviation S =√(∑(xi - ẋ)^2/n-1)
∑(xi - µ)^2 = (9 – 16)^2 + (13– 16)^2 + (15– 16)^2 + (15– 16)^2 + (21– 16)^2 + (24– 16)^2 = 79 + 9 + 1 + 1 + 25 + 64 = 179
s = √(179/5) = 5.98
Note: The question is incomplete. The complete question probably is: The following information was collected from a simple random sample of a population. 9 13 15 15 21 24 The point estimate of the population standard deviation is Select one: O a. 5.91. O b. 7.688. O C. 7.018. O d. 4.925.
Learn more about Standard deviation:
https://brainly.com/question/475676
#SPJ4
Simplify the radical ..... A) √12 B) √50 C)√84 D) √200
Answer:
√12 = 3.46410161514
√50 = 7.07106781187
√84 = 9.16515138991
√200 = 14.1421356237
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 9 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
a stone is tossed into a lake, sending out circular ripples whose area is increasing at the rate of 520 ft2/sec. how fast is the radius increasing when the radius is 30 feet?
The radius is increasing fastly at a rate of 2.75 feet per second when it is already 30 feet.
Here, it has been told that the rate of change of the area with respect to the time is = 520 ft²/sec - (i)
This can also be written as = dA/dt (ii)
We need to find the rate of change of radius with respect to the time at 30 feet. This can be written as = dr/dt (iii)
We already know that the area of a circle can be found out using the formula = πr² (iv)
Differentiating equation (ii) with respect to time, we get -
= d(πr² )/dt
= π*(dr²/dt)
= π*(dr²/dr)*(dr/dt)
= π*(2r)*(dr/dt)
= dr/dt = (dA/dt)*(1/ π*2r)
Using the given values, we get -
= (dr/dt) = 520 / π*2*30ft
= (dr/dt) = 2.75 ft/sec
Henceforth, we find that the rate of change of the radius with respect to time at 30 feet is going to be 2.75 ft/sec.
Learn more about the rate of change of quantities on
https://brainly.com/question/29518179?referrer=searchResults
#SPJ4
jacob is an american, has been a smoker since he was 21, and is now 48 years old. if he continues to smoke, his smoking habit might shorten his life expectancy by an average of how many years?
Jacob's smoking habit may shorten his life expectancy by an average of 10 years and 6 months.
Given,
The age of Jacob when he starts smoking = 21 years
Jacob's present age = 48 years
In generally if 1 year of smoking reduces 6 months from the life.
Why does smoking cause life to be shorter?
Only a few of the illnesses that are directly linked to smoking and have a significant role in the increased mortality rate among smokers include cancer, lung disease, and cardiovascular disease. The link between smokeless tobacco and cancer is well known.
Here,
Jacob may live 10 years and 6 months less than normal due to his smoking habit.
I have answered the question in general as given question is incomplete.
Learn more about smoking habit here;
https://brainly.com/question/16999740
#SPJ4
consider the process of throwing $m$ balls into $n$ bins, where each ball is thrown into a uniformly random bin, independent of other balls. what is the expected number of balls in a particular bin $b$?
The predicted quantity of balls in the first bin is (1/n)n.
Considering that,
There are the same number of balls and containers.
If so, then each container must always contain one ball. The probability of each ball landing in the first bin is (1/n)n.
For instance -
Three balls and three bins should be present. Next to each ball, place an A, B, and C. There are numbers 1, 2, and 3 on the containers. Ball A has a 1/3 chance of landing in bin 1. Although there is a 1/3 probability that ball B will drop in bin 1 and a 1/3 chance that ball C will do the same, both outcomes are possible. Therefore, bin 1 should be equal to 1/3 + 1/3 + 1/3. The rationale behind the projected values of bins 2 and 3 is identical.
According to the same logic, bins 2 and 3 should also have expected values of 1.
How probable is it that the first bin will receive all three balls?
In general, (1/n)n, which equals (1/3)3, or 1/3 x 1/3 x 1/3, equals 1/27.
Therefore, (1/n)n would be the expected number of balls in the first bin.
Learn more about number of balls here;
https://brainly.com/question/28609617
#SPJ4
to make sure that a few unusual responses don’t skew results or lead to inaccurate judgements, a data analyst focuses on what element of the data collection?
The component of the data that a data analyst is most interested in is sample size.
Given,
To prevent results from being skewed or causing incorrect conclusions, we must identify the data element on which the data analyst should concentrate;
The data analyst;
A data analyst looks at data to uncover useful consumer insights and possible applications for the knowledge. They also tell the management of the business as well as other stakeholders of this information.
Although it is advisable for data analysts to have a foundational knowledge of statistics and mathematics, many of their responsibilities can still be carried out without it. However, knowledge in statistics, linear algebra, and calculus is often required for data analysts.
Here,
A data analyst's primary interest in the data is sample size
Learn more about data analyst here;
https://brainly.com/question/29457065
#SPJ4
A company produce two type of olar panel per year: x thouand of type A and y thouand of type B. The revenue and cot equation, in million of dollar, for the year are given a follow. R(x,y)=4x5y C(x,y)=x^2-3xy7y^23x-22y-4 Determine how many of each type of olar panel hould be produced per year to maximize profit
Using partial derivatives, we know that in order to optimize profit, the company should produce 7,000 type A solar panels and 8,000 type B solar panels annually.
What are partial derivatives?A function of two or more variables can yield partial derivatives.
Writing the derivative with regard to x while treating all other variables as constants allows one to determine the partial derivative of a function with respect to one variable, let's say x.
The partial derivatives for each of the other
So, for a business making two different types of solar panels, the revenue and cost functions are provided by:
[tex]\begin{aligned}&R(x, y)=4 x+2 y \\&C(x, y)=x^2-4 x y+9 y^2+22 x-114 y-5\end{aligned}[/tex]
If revenue and cost are stated in millions of dollars annually, x represents the thousands of type A solar panels produced and sold annually, and y represents the thousands of type B solar panels produced and sold annually.
By deducting costs from revenues, the profit function is obtained as follows:
[tex]\begin{aligned}&P(x, y)=R(x, y)-C(x, y) \\&P(x, y)=4 x+2 y-\left(x^2-4 x y+9 y^2+22 x-114 y-5\right) \\&P(x, y)=-x^2-9 y^2-18 x+116 y+4 x y+5\end{aligned}[/tex]
The profit function's partial derivatives with regard to x and y are as follows:
[tex]\begin{aligned}&\frac{\partial P}{\partial x}=-2 x+4 y-18 \\&\frac{\partial P}{\partial y}=4 x-18 y+116\end{aligned}[/tex]
When both of these partial derivatives are equal to zero, the profit is maximized:
[tex]\begin{aligned}&0=-2 x+4 y-18 \\&0=4 x-18 y+116\end{aligned}[/tex]
The first equation above is multiplied by two, and the two equations are then added to yield:
[tex]\begin{aligned}&0=-10 y+80 \\&y=8\end{aligned}[/tex]
Inputting into the first equation results in:
[tex]\begin{aligned}&0=-2 x+4(8)-18 \\&2 x=14 \\&x=7\end{aligned}[/tex]
Therefore, using partial derivatives, we know that in order to optimize profit, the company should produce 7,000 type A solar panels and 8,000 type B solar panels annually.
Know more about partial derivatives here:
https://brainly.com/question/17201048
#SPJ4