81 is what percent of 3600?

Answer:

\( \sf \: 12th \: term = 37\)

Step-by-step explanation:

Common difference (d) is,

→ d = a2 - a1

→ d = -3 - (-7)

→ d = -3 + 7

→ [ d = 4 ]

Now the 12th term will be,

→ a1 + (d × (n - 1))

→ -7 + (4 × (12 - 1))

→ -7 + (4 × 11)

→ -7 + 44

→ 37 => 12th term

Hence, the answer is 37.

Answer:

121

Step-by-step explanation:

Given

f(x) = - (x + 8)(x - 14) ← expand factors using FOIL

     = - (x² - 6x - 112) ← distribute by - 1

     = - x² + 6x + 112

Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

\(x_{vertex}\) = - \(\frac{b}{2a}\)

f(x) = - x² + 6x + 112 ← is in standard form

with a = - 1 and b = 6, thus

\(x_{vertex}\) = - \(\frac{6}{-2}\) = 3

Substitute x = 3 into f(x) for corresponding value of y

f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121

vertex = (3, 121 ) ← with y = 121

Answer:

D. 121

Step-by-step explanation:

2(5 + X) - 1 = 3X + 9

Step 1: Expand the terms in the bracket

=> 2 x 5 + 2 x X - 1 = 3X + 9

=> 10 + 2X - 1 = 3X + 9

Step 2: collect like terms

=> 2X - 3X = -10 + 1 + 9

=> -X = 0

Step-by-step explanation:

This is an equation of a straight line (A standard equation).

y = mx + c

Where C is the Intercept

M is the slope

Therefore from your question

The equation has a slope of 0.5 and an intercept of -0.2.

The surface area of the given pyramid is calculated as: ¹/₄ yd²

The formula for the area of a triangle is:

A = ¹/₂ * b * h

where:

A denotes Area

b denotes base

h denotes height

We are given from the image of the net that:

base length = ¹/₄ yard

Height of triangle = ¹/₂ yard

Thus:

Area of one triangle = ¹/₂ * ¹/₄ * ¹/₂ = ¹/₁₆ yd²

Now, we have exactly 4 of this same triangle and as such:

Total surface area of the pyramid = 4 * ¹/₁₆ yd²

= ¹/₄ yd²

Read more about Square Pyramid Surface Area at: https://brainly.com/question/22744289

#SPJ1

The calculated surface area of the figure is 152 square feet

From the question, we have the following parameters that can be used in our computation:

The triangular prism

The surface  area is calculated as

SA = hp + 2B

Where

h = height

p = perimeter of base

B = base area

From the figure, we have

B = 1/2 * 6 * 4 = 12

p = 5 + 5 + 6 = 16

h = 8

So, we have

SA = 8 * 16 + 2 * 12

Evaluate

SA = 152

Hence, the surface area is 152 square feet

Read more about surface area a

https://brainly.com/question/26403859

#SPJ1

The first step to conducting a statistical study is to clearly define the research question or problem.

This involves identifying the population of interest, the variables to be measured, and the hypothesis or objective of the study. Once the research question is clearly defined, the next step is to design the study, including selecting an appropriate sample size, choosing a sampling method, and determining the data collection method.

It is also important to consider potential sources of bias and confounding factors that may impact the study results. Overall, a well-designed statistical study should be able to produce reliable and accurate results that can be used to draw meaningful conclusions about the population of interest.

To know more about statistical study:

https://brainly.com/question/23276495

#SPJ4

The limit of lim (x − 9)/ (x² − 81)  using the l'Hospital's Rule is 1/18.

                  x→9

We can directly substitute the value 9 in the given limit expression.

We get,

lim (x − 9)/ (x² − 81) = (9 - 9)/(9^2 - 81)

= 0/0

The given limit is in indeterminate form. We can apply L'Hospital's rule here.

Differentiating both the numerator and the denominator with respect to x, we get,

lim (x − 9)/ (x² − 81) = lim (1)/(2x)

Now we can directly substitute the value of x in the above expression.

lim (x − 9)/ (x² − 81) = lim (1)/(2x) = 1/18

Therefore, the limit of the given expression is 1/18.

Learn more about l'hospital's rule

brainly.com/question/14105620

#SPJ11

The probability of drawing a blue card on the first draw is 5/15. After drawing the first blue card, there are only 4 blue cards left out of 14 cards. Therefore, the probability of drawing a second blue card is 4/14. To find the probability of both events happening (drawing two blue cards in a row), we multiply the probabilities together:

(5/15) x (4/14) = 20/210 = 2/21

So the probability of Annika winning by drawing two blue cards in a row is 2/21.


1. There are 15 cards left in the deck, and 5 of them are blue cards.

2. For the first card to be blue, the probability is the number of blue cards divided by the total number of cards left in the deck. So the probability is 5/15, which simplifies to 1/3.

3. If the first card is blue, there will be 14 cards left in the deck and 4 of them will be blue cards.

4. For the second card to be blue, given that the first card is blue, the probability is the number of remaining blue cards divided by the total number of cards left. So the probability is 4/14, which simplifies to 2/7.

5. To find the probability of both events happening together (first card is blue and second card is blue), multiply the probabilities from step 2 and step 4: (1/3) * (2/7) = 2/21.

So, the probability that the two cards dealt to Annika will both be blue is 2/21.

To know more about probabilities together:- https://brainly.com/question/4620401

#SPJ11

You must include both the mean and the standard deviation in order to fully describe the shape of a normal distribution. This is thus because the normal distribution's shape and spread are determined by its mean and standard deviation.

You must include both the mean and the standard deviation in order to fully describe the shape of a normal distribution. This is so because the Normal distribution, which is by its mean and standard deviation, is a continuous probability distribution. The distribution's mean represents the average value, while the standard deviation represents the range of values. Together, these two numbers define the bell-curve form, peak, and spread of the normal distribution. Understanding a Normal distribution's mean and standard deviation enables us to We can anticipate the chance of seeing specific values in the data with accuracy by knowing the mean and standard deviation of a normal distribution. For instance, if the mean is 5 and the standard deviation is 3, we may infer that the range of values between 8 and 12 is more likely to occur than the range between 2 and 6. So, the only way to correctly forecast the shape of a normal distribution is to know its mean and standard deviation.

Learn more about standard deviation here

https://brainly.com/question/13905583

#SPJ4

Answer:

\(y = a +( n - 1)d = \\ y = - 20 + 2.5 \times (17 - 1) = - 20 + 2.5 \times 16 = \\ - 20 + 40 = 20 \\ \\ \\ \\ y = - 15 + 4 \times (31 - 1) = \\ - 15 + 4 \times 30 = \\ - 15 + 120 = 105\)

Answer:

42.  20

40.  105

Step-by-step explanation:

42.

a_n = a_1 + (n - 1)d

a_1 = -20

d = 2.5

n = 17

a_17 = -20 + (17 - 1)(2.5)

a_17 = -20 + 16(2.5)

a_17 = 20

40.

-15, -11, -7, -3

d = -11 - (-15) = -11 + 15 = 4

a_31 = -15 + (31 - 1)4

a_31 = -15 + 30(4)

a_31 = -15 + 120

a_31 = 105

To find the consumer's and producer's surplus, we need more information about the demand and supply functions or the market equilibrium.

You provided the demand function D(x) = 25, but we require additional details to proceed with the calculations. The consumer's surplus is the difference between the maximum price consumers are willing to pay and the price they actually pay. It represents the benefit or surplus gained by consumers in a market transaction.

The producer's surplus is the difference between the minimum price producers are willing to accept and the price they actually receive. It represents the benefit or surplus gained by producers in a market transaction.

To calculate these surpluses, we typically need information about the supply function, equilibrium price, and equilibrium quantity. These values help determine the areas of the consumer's and producer's surpluses on the supply-demand graph.

Please provide the necessary information about the supply function, equilibrium price, or any other relevant details so that I can assist you in calculating the consumer's and producer's surplus accurately.

Learn more about equilibrium here

https://brainly.com/question/24735820

#SPJ11

The requried linear function, slope, and time are y = 502x + 18272, m=502 and 21 months respectively.

We have the following data:

x y

18 27308

27 31826

Using the formula for slope, we have:

m = (31826 - 27308) / (27 - 18)

m = 502

Therefore, the slope of the linear function is 502. This means that for every month that Jeffrey owns the SUV, the odometer reading increases by an average of 502 miles.

To find the y-intercept (b) and complete the linear function, we can use one of the data points and the slope. Let's use the first data point (18, 27308):

27308 = 502(18) + b

b = 18272

Therefore, the linear function that represents the relationship between the odometer reading and time is:

y = 502x + 18272

To find how long it took for the odometer to read 28,814 miles, we can plug in 28,814 for y and solve for x:

28,814 = 502x + 18272

x = 21

Therefore, it took 21 months for the odometer to read 28,814 miles.

Learn more about linear functions here:

https://brainly.com/question/20286983

#SPJ1

The first step in finding the percent markdown is determining the discount, the difference between the original selling price and the sale price. The percent markdown is 15%.

The discount when an item is on sale can be calculated by

D = d% × P

S = P - D

Where

Let's see the situation below!

Determine the first step in finding the percent​ markdown!

Then, find the percent markdown!

We have

We see that there is a markdown price. To find the percent markdown, the first step to do is determining the markdown price (the discount).

So, the discount is

D = P - S

D = ​$175.90 - $149.62

D = $26.28

The percent discount is

D = d% × P

d% = D/P

d = $26.28/$175.90 × 100%

d = 0.1494 × 100%

d ≈ 15%

Hence, the first step to find the percent markdown is calculating the markdown price (the discount) and the percent markdown is 15%.

Learn more about percentage here:

brainly.com/question/29832925

#SPJ1

Based on the calculations, the measure of angle YUV is equal to 42°.

A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.

Based on the information given, we can deduce the following:

From triangle UOV, we have:

∠OUV + ∠OUV + ∠UOV  = 180°

2OUV + 84 = 180

2OUV = 180 - 84

2OUV  = 96

OUV  = 96/2

OUV  = 48°

Now, we can determine the measure of angle YUV:

∠YUV = ∠YUO - ∠OUV

∠YUV = 90 - 48

∠YUV = 42°.

Read more on line segment here: brainly.com/question/18315903

#SPJ4

Answer:

42

Step-by-step explanation:

Answer:

the second option is correct sorry if i’m wrong

Step-by-step explanation:

Answer:

The answer is B. The Commutative Property of Addition

Step-by-step explanation:

I really don't know to be honest

Minimalism and geometric abstraction share several common elements. Both artistic movements prioritize simplicity, reduction, and the elimination of unnecessary elements. They strive to distill the essence of a subject or idea, focusing on the fundamental elements of form, shape, color, and line.

Minimalism emphasizes clean lines, geometric shapes, and a sense of order and precision. Similarly, geometric abstraction uses simple geometric forms such as squares, circles, and triangles as the primary visual language. Both movements often employ a restricted color palette, favoring monochromatic or limited color schemes.

Additionally, both minimalism and geometric abstraction reject representational or narrative elements, aiming for pure abstraction and non-objectivity. They seek to evoke a contemplative and meditative experience, allowing viewers to engage directly with the formal qualities and inherent beauty of the artwork. Through their shared emphasis on simplicity, reduction, and abstraction, minimalism and geometric abstraction offer viewers a sense of clarity, harmony, and visual purity.

To know more about geometric abstraction, refer here:

https://brainly.com/question/29113472#

#SPJ11

Answer:

yes

Step-by-step explanation:

it is a fraction

The congruent figures are given as follows:

Congruent figures are figures whose outer side lengths have the same measures. They may have different orientations, but the outer side lengths have to be the same.

Hence the congruent figures in this problem are given as follows:

They have different orientations(rotated), but same side lengths.

More can be learned about congruent figures at https://brainly.com/question/1675117

#SPJ1

Answer:

C or A

Step-by-step explanation:

can i have one brainliest plz

Answer:

let's say you wanted to know if Gatorade increased athletic performance. Your experimental group would be given the Gatorade and your control group would be given regular water.  or  an experiment in which the researcher tests whether or not a new fertilizer has an effect on plant growth.

Step-by-step explanation:

Answer:an example of a treatment and a control group a human experimental group could receive a new medication, a different form of counseling, or some vitamin supplements. A plant treatment group could receive a new plant fertilizer, more sunlight, or distilled water. The group that does not receive the treatment is called the control group

Step-by-step explanation:

The integral test to determine the following  series converges.

Part 1: Convergence condition for the series

n=2 (-1)-¹√√n (n-3)², converge, diverge absolutely.

We will apply the Cauchy Condensation

Test to determine the convergence condition of the given series.

n=2 (-1)-¹√√n (n-3)²

Let's rewrite the general term an in terms of 2^n.

2^n an = 2^n (-1)-¹√√2ⁿ (2ⁿ-3)²

= -2^(n-½)√√(2-³)²= -2^(n-½)2-³/2

= -2^(n-1/2-3/2)=-2^(n-2)

Thus, by Cauchy's condensation test, the convergence of the given series is equivalent to the convergence of the following series: n=0 2ⁿ (-2)ⁿ,

This is a convergent Geometric Series with a = 2 and r = -2.

Since the absolute value of r is less than 1, the series converges.

Therefore, the given series converges.

Part 2: Use the integral test to determine the following series converges or diverges.

4n³ / x=2(1+2n²)³

Here, a_n=4n³/ (1+2n²)³

Integrate this from 1 to infinity, ∫[4n³/(1+2n²)³]dn=a=-2/[(1+2n²)²] which is less than infinity.

Therefore, the given series converges.

To know more about converge visit:

https://brainly.com/question/29258536

#SPJ11

The 95% confidence interval for the true proportion of tails in the population is (0.510, 0.572). This means that we are 95% confident that the true proportion of tails in the population is between 51.0% and 57.2%.

To find a 95% confidence interval for the true proportion of tails in the population, we can use the following formula:

\(CI = p + z\times (\sqrt{(p\times (1-p)/n))}\)

Where:

p = the proportion of tails in the sample (541/1000 = 0.541)

z = the z-score associated with a 95% confidence level (1.96, since the distribution is approximately normal for large sample sizes)

n = the sample size (1000)

Substituting the values we have:

\(CI = 0.541 + 1.96\times (\sqrt{(0.541\times (1-0.541)/1000))}\)

Simplifying:

CI = 0.541 ± 0.031

Therefore, the 95% confidence interval for the true proportion of tails in the population is (0.510, 0.572). This means that we are 95% confident that the true proportion of tails in the population is between 51.0% and 57.2%.

for such more question on confidence interval

https://brainly.com/question/14771284

#SPJ11

Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz is (c) 0.0035.

To compute the probability that Peter will pass the quiz (i.e., get at least 7 questions correct), we need to sum the probabilities of getting exactly 7, exactly 8, exactly 9, and exactly 10 questions correct.

So, the probability of passing the quiz is:

P (getting at least 7 correct) = P (getting exactly 7 correct) + P (getting exactly 8 correct) + P (getting exactly 9 correct) + P (getting exactly 10 correct)

= 0.0031 + 0.000386 + 2.86 × 10⁻⁵ + 9.54 × 10⁻⁷

= 0.0035

Therefore, the result is c. 0.0035.

The binomial formula can be used to solve a wide range of problems in probability and statistics. The binomial formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).

Learn more about Probability of Passing Quiz here:

https://brainly.com/question/30308932

#SPJ4

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

For similar questions on Wages

https://brainly.com/question/29251394

#SPJ11

To determine the intervals where the function f(x) = ∫x^10(-t^2 + 2t - 3) dt is increasing, we need to follow these steps:

Step 1:To get the derivative of f(x).
Since f(x) is defined as an integral from 10 to x, we can use the Fundamental Theorem of Calculus. The derivative of f(x) is simply the integrand with x replacing t: f'(x) = -x^2 + 2x - 3
Step 2: To get  the critical points.
To find the critical points, we need to set f'(x) equal to 0 and solve for x: 0 = -x^2 + 2x - 3
Step 3: Solve the quadratic equation.
We can solve this quadratic equation using the quadratic formula, factoring, or other methods. In this case, factoring works: 0 = (x - 3)(-x + 1)
The critical points are x = 3 and x = 1.
Step 4: Test the intervals between the critical points.
Now, we will test the intervals between the critical points to see if f'(x) is positive or negative. This will determine if the function is increasing or decreasing.
Interval 1: x < 1
Choose any number in this interval, such as x = 0, and plug it into f'(x):
f'(0) = -(0)^2 + 2(0) - 3 = -3 (which is negative)
Interval 2: 1 < x < 3
Choose any number in this interval, such as x = 2, and plug it into f'(x):
f'(2) = -(2)^2 + 2(2) - 3 = -3 (which is negative)
Interval 3: x > 3
Choose any number in this interval, such as x = 4, and plug it into f'(x):
f'(4) = -(4)^2 + 2(4) - 3 = -7 (which is negative)
The function f(x) is not increasing in any interval.

Learn more about derivatives here, https://brainly.com/question/12047216

#SPJ11

Answer:

Sample Response:

No, he is not correct. Jay drew a line through the origin, but the line did not connect all three points. Not all the points lie on the line, which is necessary for a proportional relationship.

alternative response:

No. He is not correct, this graph does not represent a proportional relationship. The graph of a proportional relationship must be a straight line connecting all points and passing through the origin.. as well as not even connecting all three points on the graph.

In a directly proportional relationship, increasing one variable will increase another. It is not a proportional relationship graph.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

 p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

\(m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}\)

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

\(m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}\)

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

A proportional relationship is a relationship in which the value of one variable changes with the change in another variable. This change is always in a fixed ratio. Thus, when the relationship is plotted on the graph it creates a straight line and all the data points lie on this line.

Since in the graph made by Jay the line is not able to connect all the data points, it is not a proportional relationship graph.

Learn more about Directly inversely proportional relationships:

https://brainly.com/question/13082482

#SPJ2

Adjust the parameters as needed, such as the step size (h) and the final x-value (xn), and run the code to obtain the solution for y(x).

The resulting plot will show the solution curve.

To solve the given set of differential equations using the Runge-Kutta method in MATLAB, we need to convert the second-order differential equations into a system of first-order differential equations.

Let's define new variables:

y = y(x)

z = dz/dx

Now, we have the following system of first-order differential equations:

dy/dx = z (1)

dz/dx = -k/(2y) (2)

To apply the Runge-Kutta method, we need to discretize the domain of x. Let's assume a step size h for the discretization. We'll start at x = 0 and proceed until x = infinite.

The general formula for the fourth-order Runge-Kutta method is as follows:

k₁ = h f(xn, yn, zn)

k₂ = h f(xn + h/2, yn + k₁/2, zn + l₁/2)

k₃ = h f(xn + h/2, yn + k₂/2, zn + l₂/2)

k₄ = h f(xn + h, yn + k₃, zn + l₃)

yn+1 = yn + (k₁ + 2k₂ + 2k₃ + k₄)/6

zn+1 = zn + (l₁ + 2l₂ + 2l₃ + l₄)/6

where f(x, y, z) represents the right-hand side of equations (1) and (2).

We can now write the MATLAB code to solve the differential equations using the Runge-Kutta method:

function [x, y, z] = rungeKuttaMethod()

   % Parameters

   k = 1;              % Constant k

   h = 0.01;           % Step size

   x0 = 0;             % Initial x

   xn = 10;            % Final x (adjust as needed)

   n = (xn - x0) / h;  % Number of steps

   % Initialize arrays

   x = zeros(1, n+1);

   y = zeros(1, n+1);

   z = zeros(1, n+1);

   % Initial conditions

   x(1) = x0;

   y(1) = 0;

   z(1) = 0;

   % Runge-Kutta method

   for i = 1:n

       k1 = h * f(x(i), y(i), z(i));

       l1 = h * g(x(i), y(i));

       k2 = h * f(x(i) + h/2, y(i) + k1/2, z(i) + l1/2);

       l2 = h * g(x(i) + h/2, y(i) + k1/2);

       k3 = h * f(x(i) + h/2, y(i) + k2/2, z(i) + l2/2);

       l3 = h * g(x(i) + h/2, y(i) + k2/2);

       k4 = h * f(x(i) + h, y(i) + k3, z(i) + l3);

       l4 = h * g(x(i) + h, y(i) + k3);

       y(i+1) = y(i) + (k1 + 2*k2 + 2*k3 + k4) / 6;

       z(i+1) = z(i) + (l1 + 2*l2 + 2*l3 + l4) / 6;

       x(i+1) = x(i) + h;

   end

   % Plotting

   plot(x, y);

   xlabel('x');

   ylabel('y');

   title('Solution y(x)');

end

function dydx = f(x, y, z)

   dydx = z;

end

function dzdx = g(x, y)

   dzdx = -k / (2*y);

end

% Call the function to solve the differential equations

[x, y, z] = rungeKuttaMethod();

Learn more about differential equations click;

https://brainly.com/question/32645495

#SPJ4