Can you help me with this please?

Answer: x = 7°

Explanation:

We know that sum of angles of a quadilateral is = 360°

Therefore ATQ

⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360

⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360

⇒ 50x + 10 = 360

⇒ 50x = 360-10

⇒ 50x = 350

⇒ x = 350/50

⇒ x = 7

Therefore value of x is 7°

Must click thanks and mark brainliest

Your answer is: x* = Py/Px. The solution for x* in terms of Px, Py, and I is Py / Px.

Explanation:
Step 1: Given U = ln(x) + y, find the partial derivatives with respect to x and y.
∂U/∂x = 1/x
∂U/∂y = 1

Step 2: According to the theory of utility maximization, the consumer maximizes utility subject to the budget constraint Px * x + Py * y = I.

Step 3: Set up the Lagrangian function L(x, y, λ) = ln(x) + y + λ(I - Px * x - Py * y).

Step 4: Find the partial derivatives of the Lagrangian function with respect to x, y, and λ, and set them equal to zero.
∂L/∂x = 1/x - λ * Px = 0
∂L/∂y = 1 - λ * Py = 0
∂L/∂λ = I - Px * x - Py * y = 0

Step 5: Solve the system of equations to find the optimal values of x and y.
From ∂L/∂x: λ * Px = 1/x
From ∂L/∂y: λ * Py = 1
Divide the first equation by the second equation to eliminate λ:
(Px * x) / (Py * y) = 1

Step 6: Rearrange the equation to find x* in terms of Px, Py, and I.
x* = Py / Px

Know more about the partial derivatives click here:

https://brainly.com/question/28750217

#SPJ11

Therefore, the volume of the paper cone to the nearest tenth is 418.7 inches cubed.

The volume of the paper cone that Gretchen made to hold a gift for a friend is given by;V= (1/3)πr²hWhere;r = radius of the paper coneh = height of the paper coneπ = 3.14

Given that;Height of the paper cone (h) = 16 inches Radius of the paper cone (r) = 5 inchesWe are to find the volume (V) of the paper cone to the nearest tenth of an inch.

To obtain the volume of the paper cone, we can substitute the values of r and h in the formula above to obtain;

\(V= (1/3)\pir^2hV\)= \((\frac{1}{3} ) \times 3.14\times5^2 \times16V = (\frac{1}{3} ) \times 3.14\times25\times16V = (\frac{1}{3}) \times 1256V=418.7\)

For such more question on paper cone

https://brainly.com/question/27270005

#SPJ8

Answer:

A. Another way to write g(h(x)) is (g×h)(x)

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

Learn more about triangle on https://brainly.com/question/1058720

#SPJ1

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

Learn more about the tangent arc theorem here:

https://brainly.com/question/29239907

#SPJ1

Answer:

p + (m × 1) = t

If a plant is already ___cm tall and it will grow one cm every month, an equation to find out how much the plant grew in __ months is this:

(Let t = total number of centimeters, m = number of months, and p = the length of the plant already.)

Therefore, the equation you can use is p + (m × 1) = t.

Answer:

135 cubes

Step-by-step explanation:

First, find the volume of the box with the equation V = Bh, where B is the area of the base and h is the height.

V = (2.25)(0.75)(1.25)

V = 2.109375

Next, find the volume of one cube with the side length 1/4 with V = Bh:

V = (0.25)(0.25)(0.25)

V = 0.015625

Then, divide the volume of the box by the volume of one cube:

2.109375 / 0.015625

= 135

The vector PQ, which connects the points P(0,0) and Q(-5,-3), can be visualized as an arrow pointing from P to Q in the xy-coordinate system. The magnitude of vector PQ is √34 (approximately 5.83) .

To sketch the vector PQ, we start at the origin (point P) and move 5 units to the left along the x-axis and 3 units downward along the y-axis to reach point Q. This creates an arrow that represents the direction and magnitude of the vector. The arrow starts at P(0,0) and ends at Q(-5,-3).

To compute the magnitude of vector PQ, we can use the distance formula derived from the Pythagorean theorem. The distance formula states that the distance between two points (x₁,y₁) and (x₂,y₂) in a Cartesian coordinate system is given by the square root of the sum of the squares of the differences in their x and y coordinates:

Magnitude = √(\((x₂ - x₁)² + (y₂ - y₁)²)\)

In this case, substituting the coordinates of P(0,0) and Q(-5,-3) into the formula, we get:

Magnitude = √((\(-5 - 0)² + (-3 - 0)²)\)\(-5 - 0)² + (-3 - 0)²)\)

= √\(sqrt{((-5)² + (-3)²)}\)

= √(25 + 9)

= √34

Therefore, the magnitude of vector PQ is √34 (approximately 5.83)

Learn more about magnitude here:

https://brainly.com/question/28173919

#SPJ11

There were 20 questions on the quiz.

Let's start by using algebra to solve the problem.

Let x be the total number of questions on the quiz.

If Jianna got 87.5% of the questions correct, then she got 0.875x questions

correct.

We also know that Jianna got 17.5 questions correct.

So we can set up the equation:

0.875x = 17.5

To solve for x, we can divide both sides by 0.875:

x = 20

Therefore, there were 20 questions on the quiz.

for such more question on word problem

https://brainly.com/question/1781657

#SPJ11

For right triangles, we can use the Pythagorean theorem in order to determine the length of the hypotenuse with the following formula:

a and b are the lengths of the legs of the triangle.

In this case, the lengths of the legs are 23 and 12. By replacing 12 for a and 23 for b, we get:

Then, the length of the missing side is 25.9 in

Answer:

247

Step-by-step explanation:

0.52x475=247

i hope this helps :)

Answer:

The answer is 247 because 52% of 475 is 247

(a) lim (х, у) — (0, 0) cos(xy) – 1, this limit does not exist.

(b) The limit of x^(y^(x/y)) as (x, y) approaches (0, 0) is 1.

(c) The limit of (x² + y + 2) as (x, y) approaches (0, 0) is 2.

a) The limit of (exy - 1)/(cos(xy) - 1) as (x, y) approaches (0, 0) does not exist. The reason is that when (x, y) approaches (0, 0), the expression becomes indeterminate form 0/0.

Applying L'Hôpital's rule, we differentiate the numerator and denominator with respect to xy. The derivative of exy is exy, and the derivative of cos(xy) is -sin(xy)xy. Evaluating the limit again, we get (1 - 1)/(0 - 0) = 0/0, which is still an indeterminate form. Therefore, the limit does not exist.

(b) The limit of x^(y^(x/y)) as (x, y) approaches (0, 0) exists and equals 1. To show this, we take the natural logarithm of the expression to simplify it. Let z = x/y, so x = zy. Then the expression becomes ln(x^(y^(x/y))) = ln((zy)^(y^z)) = y^z ln(zy). Now, as (x, y) approaches (0, 0), z approaches 0.

Applying the limit properties and the continuity of the natural logarithm and exponential functions, we find that ln(zy) approaches ln(0) = -∞. Multiplying by y^z, we have y^z ln(zy) approaches 0 * -∞ = 0. Finally, taking the exponential of both sides, we obtain e^(y^z ln(zy)), which simplifies to e^0 = 1. Therefore, the limit of x^(y^(x/y)) as (x, y) approaches (0, 0) is 1.

(c) The limit of (x^2 + y + 2) as (x, y) approaches (0, 0) exists and equals 2. Since the limit is a sum of continuous functions, we can evaluate it by substituting the values of x and y directly into the expression.

Plugging in x = 0 and y = 0, we get (0² + 0 + 2) = 2. Therefore, the limit of (x² + y + 2) as (x, y) approaches (0, 0) is 2.

Learn more about Limit:

brainly.com/question/12211820

#SPJ11

Answer:

Value of expression = -3 / 4

Step-by-step explanation:

Given:

(12x + 8) + 4 = 3

Find:

Value of expression

Computation:

Given expression

(12x + 8) + 4 = 3

Step 1: Use Distributive property

12x + 8 + 4 = 3.

Step 2: By adding like terms.

12x + 12 = 3

Step 3: Transfer

12x = 3 - 12

Step 4: Subtract

12x = -9

Step 4: Divide both sides by 12

12x / 12 = -9 / 12

x = -3 / 4

Value of expression = -3 / 4

The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities. By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.

Given,

Mean = 4 minutes

= 1/4

= 0.25

The probability that someone will be attended to in less than three minutes on any given day is:

P( X ≤3)

= 1- e⁻⁰²⁵⁽³⁾

= 0.5267

The probability is:

P( X ≥ 4)

= P( X = 4) +P( X = 5 ) + ( X = 6)

= 0.2594 + 0.1159 + 0.216

= 0.3969

The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.

To learn more about probability, visit:

https://brainly.com/question/18596455

#SPJ4

The test statistic for testing equality of proportions is a z-score. It is calculated by dividing the difference in sample proportions by the standard error. The resulting z-score is then compared to critical values from the standard normal distribution to determine the statistical significance of the difference in proportions.

The correct options for the test statistic for testing the equality of proportions in a multiple-select question are:

Assumes when samples are large that p1 - p2 is normally distributed.

Uses a pooled proportion to calculate the standard error.

Is a z-score.

When the samples are large, the difference between two proportions (p1 - p2) can be approximated to follow a normal distribution. This assumption is based on the Central Limit Theorem.

To calculate the standard error in this scenario, a pooled proportion is used. The pooled proportion combines the proportions from both samples to estimate the common population proportion.

Know more about test statistic here;

https://brainly.com/question/31746962

#SPJ11

Answer:

23

Step-by-step explanation:

(f + g)(3) = f(3) + g(3)

f(3) = 3(3) - 3 = 9 - 3 = 6

g(3) = 4(3) + 5 = 12 + 5 = 17

Then

(f + g)(3) = 6 + 17 = 23

If the class has a mean (μ) of 60 and a standard deviation (σ) of 10, and your score is 65, then you would be above the mean but still within one standard deviation. In this case, the set of parameters μ = 60 and σ = 10 would likely give you a relatively good grade.

To determine which set of parameters would give you the best grade on the exam, we need to understand the grading scheme and how your score is compared to the rest of the class. Specifically, we need to know the mean (μ) and standard deviation (σ) of the exam scores for the entire class.

If the grading scheme involves a curve, where your score is compared to the mean and standard deviation of the class, then the set of parameters that would give you the best grade would depend on the distribution of scores in the class.

If the class has a mean (μ) of 60 and a standard deviation (σ) of 10, and your score is 65, then you would be above the mean but still within one standard deviation. In this case, the set of parameters μ = 60 and σ = 10 would likely give you a relatively good grade.

However, if the class has a different mean and standard deviation, or if the grading scheme does not involve a curve, then a different set of parameters might give you the best grade.

Without more specific information about the grading scheme and the distribution of scores in the class, it is difficult to determine the exact set of parameters that would result in the best grade for you.

Visit here to learn more about standard deviation brainly.com/question/29115611
#SPJ11

The statement '15 more than the sum of 5 and a number' is equivalent to the mathematical expression (5+n)+15.

Therefore the answer is (5+n)+15.

The statement "15 more than the sum of 5 and a number" is asking for an expression that represents the value that is 15 greater than the result of adding 5 and a number together. The mathematical way to express this is:

15 + (5 + n)

Where n is the number that we are adding to 5.

15 is being added to the sum of 5 and n. The parentheses around the 5 and n indicate that those two values are being added together before the 15 is added to them.

In other forms of representation

15+(5-n) or (5+n)+15 or (5-n) +15 or 15+5n does not convey the meaning you want it to convey as these forms does not represent "15 more than the sum of 5 and a number"

To know more on mathematical expression

https://brainly.com/question/1619296

#SPJ4

Answer:

2x + 4 = 10

Step-by-step explanation:

4 added, 2 times of a number means x times 2, the equation has to equal 10

Answer:

8m = 800cm

8m = 0.008km

Step-by-step explanation:

1 kilometer is 1000 meters

1 meter is 100 centimeters

You'd only have to multiply in the first one:

\(8 \times 100 = 800\)

8m = 800cm

Remember that when multiplying by 100 you only have to add zeros.

For km, as it is bigger than m you have to divide by 1000, when dividing this time you only have to carry an imaginary point starting from right to left, the amount of zeros there are:

\(8. \\ .8 \\ .08 \\ .008 \\ 8 \div 1000 = .008\)

8m = 0.008km

If you run out of numbers when carrying the point, just add zeros.

Answer:

24 units

Step-by-step explanation:

OM = ON, so

OP= 13-8

That means OP is 5.

Using the Pythagorean Theorom to find MP:

5^2+b^2=13^2

25+b^2=169

b^2=169-25

b^2=144

B=12

This means MP =12.  ML is twice as long as MP. 12x2=24

The answer is B. 24 units

Answer:

28.27 is answer because pi×3² is the area

Answer:

1,260 books (or C)

Step-by-step explanation:

1. 2/5 of fiction (12,500) are out, so 5,000 are out

2. 2/5 of non-fiction (19,000) are out, so 7,600 are out

3. Total books checked out are 12,600

4. 1/10 of checked out books are due this week, so 1,260 books (10%)

Total number of books out of 12,500 fiction books and 19,000 non fiction books that are due back this week is 1,260

When a whole number is divided by a natural number we get a fraction as a result. 1/3 , 4/9 ,-3/5 are some examples of fractions. The number above the divisor sign are called numerator and the number below the divisor sign are called denominator.

Given, total number of fiction books= 12,500

And total number of non-fiction books = 19,000

Therefore, total number of fiction books that are checked out

= (2/5)×12,500=5,000

Total number of non-fiction books that are checked out = (2/5)×19,000

                                                                                               =7,600

Therefore, total number of fiction and non fiction books that are checked out = 5,000+7,600=12,600

Now 1/10 of of checked out books are due back.

Thus, number of books that are due back=(1/10)×12,600

                                                                     =1,260.

Hence, total number of books that are due back this week is =1260

To learn more about fractions click here:

https://brainly.com/question/23578889

#SPJ3

Answer:

Step-by-step explanation:

ince

x

=

6

is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Find two points on the line.

x

y

6

0

6

1

Graph the line using the slope, y-intercept, and two points.

Slope: Undefined

y-intercept: No y-intercept

x

y

6

0

6

1

image of graph

The probability of drawing a card at random from a standard deck of 52 playing cards that is a 7 or lower is 7/13.

When drawing a card at random from a standard deck of 52 playing cards, there are 13 cards with values ranging from Ace (1) to King (13) in each of the four suits (hearts, diamonds, clubs, and spades). Out of these 13 cards, there are seven cards with values 7 or lower: Ace, 2, 3, 4, 5, 6, and 7. Therefore, the favorable outcomes are 7, and the total number of possible outcomes is 13. Thus, the probability can be calculated by dividing the number of favorable outcomes (7) by the total number of possible outcomes (13), resulting in a probability of 7/13.

In probability theory, the probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes. This ratio provides a measure of how likely the event is to occur. In the case of drawing a card from a standard deck, understanding the number of cards that meet the specified criteria and the total number of cards in the deck allows us to calculate the probability accurately. It's important to note that the probability is always expressed as a fraction or a decimal between 0 and 1, where 0 represents impossibility and 1 represents certainty.

Learn more about Probability

brainly.com/question/32117953

#SPJ11

An urn contains 4 blue and 3 yellow chips, two are removed in succession without replacement. The probability both chips are blue is 15/14

Since the balls are to be removed in succession,

For removing first ball:

Total probability to remove the ball from 7 balls = 7c1

The probability for removing one blue ball out of 4 blue balls = 4c1

So final probability = 4c1/7c1

Now the remaining balls = 7-1 = 6

The remaining blue balls = 4-1 = 3

For removing second ball:

Total probability to remove one ball out of 6 balls = 6c1

The probability for removing one blue ball out of 3 blue balls = 3c1

So final probability = 3c1/6c1

The final probability to remove two blue balls in succession out of 7 balls is = 4c1/7c1 + 3c1/6c1

   = 4/7 + 3/6

   = 15/14

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

The volume of an ice cube produced by this machine is of:

Volume ice cube = 1 inch³

  A volume is the physical space that an object occupies in space, although it is also defined as the capacity of space that a hollow object may have.

If this machine produces ice that has a cube shape with a side of 1 inch, then to know the value of the volume of these cubes we will use the following equation:

Volume cube = side x side x side

Volume cube = side³

side = 1 inch

Volume ice cube = 1 inch³

As the side is 1 the volume and area will be 1 but with corresponding unit

Learn more about volume at:

https://brainly.com/question/12410983

#SPJ4

The equation of the circle with a radius of 111 and a center at (9, 5) is:

To determine the equation of a circle, we use the standard form equation:

\((x - h)^2 + (y - k)^2 = r^2\)

Where (h, k) represents the center coordinates of the circle, and r represents the radius.

In this case, the center of the circle is (9, 5), and the radius is 111. Plugging these values into the equation, we have:

(x - 9)^2 + (y - 5)^2 = 111^2

Expanding and simplifying further:

\((x - 9)^2 + (y - 5)^2 = 12321\)

Therefore, the equation of the circle with a radius of 111 and a center at (9, 5) is:

(x - 9)^2 + (y - 5)^2 = 12321

This equation represents all the points (x, y) that are equidistant from the center (9, 5) by a distance of 111 units, forming a circle shape.

To graphically represent the circle, plot the center point (9, 5) on a coordinate plane and then draw the circle with a radius of 111 units around it. Any point on the graph that satisfies the equation will lie on the circle, while points outside the circle will not satisfy the equation.

It's important to note that the equation of a circle can also be expressed in other forms, such as the general form or parametric form. However, the standard form equation provided above is commonly used for representing circles.

for more such question on circle visit

https://brainly.com/question/28162977

#SPJ8