How are the shapes alike

Step-by-step explanation:

-10, -8, 0, 7 is the answer

The answer should be:

-10, -8, 0, 7

Answer:

Step-by-step explanation:

2/9 + x = 11/18

x = 11/18 - 2/9

x = 63/162

x = 7/18

2/9 + 7/18 = 11/18

11/18 = 11/18

Answer:

y will be 8??

Step-by-step explanation:

y = 8 x= 16

Answer:

I am going to assume that "y" varies directly as "x."

y = kx

4 = k(2)

2 = k

y = kx

y = 2(16)

y = 32

Step-by-step explanation:

There ya go. :)

Answer:

no solutions

Step-by-step explanation:

-8x + x + 15 = -7x + 12

Combine terms

-8x + x + 15 = -7x + 12

-7x +15 = -7x +12

Add 7x to each side

15 = 12

This is never true so there are no solutions

Steps to solve:

-8x + x + 15 = -7x + 12

~Combine like terms

-7x + 15 = -7x + 12

~Add 7x to both sides

-7x + 7x + 15 = -7x + 7x + 12

~Simplify

15 = 12

There are no solutions.

Best of Luck!

The answer  is that the quadratic function is the one that models the situation.

The function that models the situation is a quadratic function in the form of ax² + bx + c.

In this scenario, the engineer is designing a flashlight with a parabolic mirror. A parabolic mirror has a shape that can be represented by a quadratic function. Quadratic functions are typically in the form of f(x) = ax² + bx + c, where a, b, and c are constants.

The explanation for this is that a parabolic mirror reflects light in a way that the reflected rays converge at the focus, which is the vertex of the parabola. This means that the distance between the reflector and the light source should be the same as the distance between the reflector and the focus. The shape of the parabolic mirror is defined by a quadratic function, which is y = ax²

The variable y represents the height of the mirror at a given point, x represents the distance from the vertex, and a is a constant that determines the steepness of the curve. Therefore, the engineer can use this equation to design the parabolic mirror that will maximize the output of the flashlight.
.

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The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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Answer:

A person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.

Step-by-step explanation:

You can write an equation in which the amount charged by bank a is equal to the amount charged by bank b. The amount bank a charges is 6 plus 0.10 for the number of checks written and the amount bank b charges is 5.20 for the number of checks written.

6+0.10x=5.20x, where x is the number of checks written

Now, you can solve for x to find the number of checks written where the two banks charge the same amounts in fees:

6=5.20x-0.10x

6=5.10x

x=6/5.10

x=1.17

According to this, the answer is that a person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.

Answer:

-14.2, -7.8, 12.6, 15.3

Step-by-step explanation:

a) P[2Y< 1.9]

Let Z = 2Y. Then Z ~ Uniform(0, 4)

1.9 is in the support of Z.

So P[Z< 1.9] = (1.9)/4 = 0.475

b) P[Y(n) < 1.9]

Y(n) is the n^th order statistic of Y1, ..., Y100. Since the Yi's are Uniform(0, 2), Y(n) ~ Beta(n, 100-n+1)

To find P[Y(n) < 1.9], we evaluate the CDF of the Beta distribution at 1.9.

Since n is not given, we consider the extremes:

n = 1: Y(1) ~ Uniform(0, 2) so P[Y(1) < 1.9] = 1.9/2 = 0.95

n = 100: Y(100) ~ Beta(100, 1) so P[Y(100) < 1.9] = 0 (since 1.9 > 2)

Therefore, 0.95 < P[Y(n) < 1.9] < 1 for any n.

In summary:

a) P[2Y< 1.9] = 0.475

b) 0.95 < P[Y(n) < 1.9] < 1 for any n.

Let me know if you have any other questions!

For content loaded , Y1, ..., Y100 as independent Uniform(0, 2) random variables.

a) P[2Y< 1.9]:   = 0.475.

b) P[Y(n) < 1.9] =  0.994.

a) To solve this problem, we first need to find the distribution of 2Y. Since Y ~ Uniform(0, 2), we have that 2Y ~ Uniform(0, 4). Therefore, we can rewrite the probability as P[2Y < 1.9] = P[Y < 0.95].

Now, we know that the distribution of Y is continuous and uniform, so the probability that Y is less than any specific value a is equal to (a - 0)/(2 - 0) = a/2. Therefore, P[Y < 0.95] = 0.95/2 = 0.475.

b) For this question, we need to find the probability that the smallest value of Y, denoted by Y(n), is less than 1.9. Since the Y's are independent and identically distributed, the probability of Y(n) being less than 1.9 is equal to 1 - the probability that all Y's are greater than or equal to 1.9.

So, we can write P[Y(n) < 1.9] = 1 - P[Y(1) >= 1.9, ..., Y(100) >= 1.9]. Since the Y's are independent, we can use the fact that the probability of the intersection of independent events is the product of their probabilities, and rewrite this as:

P[Y(n) < 1.9] = 1 - P[Y >= 1.9]^100

Now, we know that P[Y >= 1.9] is equal to the length of the interval (1.9, 2) divided by the length of the entire interval (0, 2), which is 0.1/2 = 0.05. Therefore, we have:

P[Y(n) < 1.9] = 1 - (0.05)^100

Using a calculator, we can find that P[Y(n) < 1.9] is approximately equal to 0.994.

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The decibel level is 115.

From the question, we have

The decibel level is

\(D=10log \frac{I}{I_o}\\=10log \frac{10^{0.5} }{10^-12}\\\\=10log10^{11.5} \\=10*11.5=115\\\)

Decibel:

Since some noises are dangerous, we can measure the sound that surrounds us in order to be protected and informed. In actuality, loud noise can harm our hearing. Decibel is the unit of measurement for sound intensity. Because the human ear is so sensitive, you can hear anything, including a tremendous thunderclap, when your fingertip lightly brushes across your skin. The sound of a thunderclap is roughly 1,000,000,000,000 times more powerful than the tiniest audible sound in terms of power. That really does make a difference! Let's study more about the decibel unit in this article.

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To compute the orthogonal projection of q onto the subspace spanned by p, we need to first find the projection vector. Let's call this projection vector v. We know that v must be orthogonal to the error vector e, where e is the difference between q and the projection of q onto the subspace spanned by p.

We can express v as a scalar multiple of p, so let's write v as v = ap, where a is a scalar. Then, using the inner product given by evaluation at −1, 0, and 1, we have:
=  =
Since we want v to be orthogonal to e, we need  to be 0. So, we have:
= 0
Expanding this out, we get:
2(6 - a) - 10/3(1 - a^2) = 0
Simplifying and solving for a, we get:
a = 3/5
So, v = 3/5p = 6/5t. Therefore, the orthogonal projection of q onto the subspace spanned by p is:
proj_p(q) = /||v||^2 * v = 9/5 - 18/5t

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Answer:

\({ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} \)

a - 4b

= (-7) - 4(2)

= - 7 - 8

= - 15.

Hope it helps ya :))

Hello castilloesperanza399!

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

Evaluate the expression when a= -7 and b=2

a-4b.

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

It's given that,

Our expression is 'a - 4b'. We already have the values of a & b, so to solve it we need to substitute the values given in the place of a & b.

\(a - 4b \\ = ( - 7) - 4(2) \\ = - 7 - 8 \\ = \large\boxed{\boxed{ \bf- 15}}\)

__________________

Hope it'll help you!

ℓu¢αzz ッ

Loss aversion can be explained as the fact that people tend to feel the negative consequences of loss more strongly than the positive effects of an equal gain. This means that people will often take risks in order to avoid a loss rather than in order to make a gain.

Loss aversion is typically modelled in a Prospect Theory value function. This function takes into account both the probability and magnitude of a gain or loss. The value function has two different curves, one for gains and one for losses. These curves are both steeper in the loss domain than they are in the gain domain. This means that losses are generally seen as more important than gains of the same magnitude. Let's take an algebraic example to illustrate this: Suppose that a person has to choose between two options: A 50% chance of winning $100 A sure win of $50In this case, a rational decision maker would choose option A, .

However, if the person has loss aversion, they might choose option B because the thought of losing $100 is too painful to bear. This is reflected in the value function, where the curve for losses is steeper than the curve for gains. b. A reference point can be defined as the starting point from which a person evaluates their gains and losses. This reference point can be subjective and will vary from person to person. However, once a reference point has been established, people will tend to evaluate gains and losses relative to this point. This means that they will view gains above this point as positive and losses below this point as negative. A reference point can be anything from a person's initial investment to their current wealth status. The reference point is important because it determines how people view the outcomes of their decisions.

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\( \boxed{ \mathrm{Surface \: Area = 2\pi r(h +r )}}\)

_____________________________

\(\mathrm{ \#TeeNForeveR}\)

Required line is : \(y+2 = \frac{5}{3} x\)

What do you mean by slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of a linear equation y = mx + c. The values of m as well as c are real numbers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of a location where the line's graph crosses the y-axis.

Given , Slope, m = 5/3
Required line passes through (0,-2) and has slope m = 5/3.
So, Required line is : \(y+2 = \frac{5}{3} x\)

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Answer:

If 67.5% of the 540 km road between the two cities is paved, then the length of the paved road is:

Length of paved road = 67.5% of 540 km = 0.675 x 540 km = 364.5 km

The length of the unpaved road is the remaining distance:

Length of unpaved road = 540 km - 364.5 km = 175.5 km

Let's call the speed of the car on unpaved roads "x". Then, according to the problem, the speed of the car on paved roads is "x + 25". We can use the formula:

Time = Distance / Speed

to set up two equations based on the paved and unpaved parts of the road. We know that the total time to cover the entire road is 10 hours, so we can use this to solve for the two unknown speeds:

Time on paved road + Time on unpaved road = 10 hours

Length of paved road / (x + 25 km/h) + Length of unpaved road / x km/h = 10 hours

Substituting the values we found earlier, we get:

364.5 km / (x + 25 km/h) + 175.5 km / x km/h = 10 hours

Multiplying both sides by the LCD, we get:

364.5x + 175.5(x + 25) = 10x(x + 25)

Simplifying and solving for x, we get:

540x = 10000

x = 18.52 km/h

Therefore, the speed of the car on unpaved roads is 18.52 km/h, and the speed on paved roads is x + 25 = 43.52 km/h.

Expanded form of 804082 is 8 x 100000 + 0 x 10000 + 4 x 1000 + 0 x 100 + 8 x 10 + 2 x 1.

To write the number 804082 in expanded form, we need to break it down into its component parts based on place value.

Expanded form 1:

804082 = 8 x 100000 + 0 x 10000 + 4 x 1000 + 0 x 100 + 8 x 10 + 2 x 1

In this expanded form, we can see that the digit 8 is in the hundred thousands place, the digit 0 is in the ten thousands place, the digit 4 is in the thousands place, the digit 0 is in the hundreds place, the digit 8 is in the tens place, and the digit 2 is in the ones place.

Expanded form 2:

804082 = 8 x \(10^{5}\) + 0 x \(10^{4}\) + 4 x \(10^{3}\) + 0 x \(10^{2}\) + 8 x \(10^{1}\) + 2 x \(10^{0}\)

In this expanded form, we can see that each digit in the number is multiplied by its corresponding power of 10 based on its position in the number.

Both forms give us the same result, but they express the number in different ways based on the place value of each digit.

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Answer: 7= 1(5)+b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

y = mx + b

Given that the coordinate is (5, -7), you know that x = 5 and y = -7

Variable m represents the slope, so m = -1

Now simply plug in all the numbers:

y = mx + b

-7 = (-1)(5) + b

Answer: 120 is 120% of 100

Step-by-step explanation: Hope this helps :)

Answer:

120 of 100 is 120%

Step-by-step explanation:

120 of 100 can be written as:

120

100

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

120

100× 100

100= (

120 × 100

100 × 1 100 = 120

100

Therefore, the answer is 120%

If you are using a calculator, simply enter 120÷100×100 which will give you 120 as the answer.

Hope this helps! Have a great day! :)

The value of x in 1 1/8=2 1/4x by using inverse operation is 1 / 2.

Addition and subtraction, multiplication, and division are examples of inverse operations, which are pairs of mathematical operations where one operation reverses the effects of the other.

Given:

1 1/8=2 1/4x

Solve the above equation by using the inverse operation.

Solve the mixed fraction into improper fractions as shown below,

9 / 8 = 9 / 4 x

x = 9 / 8 × 4 / 9

x = 1 / 2

Therefore, the value of x in 1 1/8=2 1/4x by using inverse operation is 1 / 2.

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Any angle that shares a common vertex with <4 and whose measure adds up to 180 degrees is supplementary to <4.

To determine which angles are supplementary to <4, we first need to understand the concept of supplementary angles. Supplementary angles are pairs of angles whose sum is 180 degrees. In other words, if we have two angles, and their measures add up to 180 degrees, then they are supplementary to each other.

To find angles that are supplementary to <4, we need to look for other angles that add up to 180 degrees with <4. We can do this by examining the angles that intersect <4 or that share a common vertex with <4.

One way to identify such angles is to draw a diagram of the situation. Suppose we have a line with <4 marked on it. We can then draw another line that intersects the first line at <4, creating two angles on either side of <4. Let's call these angles A and B, where A is adjacent to <4 and B is adjacent to the other side of <4.

If we can find angle A or angle B, we can determine the other angle that is supplementary to <4. We know that A and B add up to 180 degrees, so if we find one of these angles, we can subtract it from 180 degrees to find the other angle.

To summarize, to find angles that are supplementary to <4, we can:

Draw a diagram of the situation, with <4 marked on a line and another line intersecting it at <4.

Identify the adjacent angles on either side of <4.

Label these angles A and B.

Determine the measure of either A or B.

Subtract the measure of the known angle from 180 degrees to find the measure of the other angle.

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one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

Answer:

Step-by-step explanation:

when there is a plus before a negative, ignore it, the negative makes it irrelavant.

-4-3=-7

-4y-7

Answer:

region D

Step-by-step explanation:

all other regions are higher than $300

Answer:

C

Step-by-step explanation:

because its either A or C and when I did it I picked C and it was wrong.

¯\_(ツ)_/¯

The following is true about the study: e. It has one factor (medication) blocked by age.

In statistics, when a factor (independent variable) is blocked by another factor, it means that the effect of the first factor is controlled or eliminated by the second factor.

In this case, the factor that is blocked is the medication, which means that the effect of medication on the outcome variable is controlled by age.

Blocking a factor is often done in experimental design to remove the effects of extraneous variables or to control the influence of certain factors on the outcome variable.

In this case, age is considered a blocking variable because it is not of interest in the study, but it may have an effect on the outcome variable. By blocking the effect of medication by age, the study can better isolate the effect of medication on the outcome variable.

In summary, the statement e. "It has one factor (medication) blocked by age" is correct which means that the study controlled for the effect of age on the outcome variable by blocking the effect of medication by age.

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: g ≤ −2

Step-by-step explanation:

Answer:

d=16

Step-by-step explanation:

d: distance (10,4),(-6,4)

d=√(x2-x1)^2+(y2-y1)^2

d=√(-6-10)^2+(4-4)^2

d=√16^2

d=16

Answer:

go 4 to right or where is positive then thats it

Step-by-step explanation:

lololololololololololololol

Answer:

The correct answer is 4,672.18.

Step-by-step explanation:

To solve this problem, we must look at the number we are given and determine what numbers are in which places.  The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.  

The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit.  In the number given, the number 8 is in the hundredths place.  Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place.  This makes our answer 4,672.18.

Hope this helps!

Answer:

x = 5

y = 40°

Step-by-step explanation:

the median and the base of the large triangle are parallel so angle y has the same measure as the one labeled as 40°

the median is half the base of the large triangle, so 5x = 8x + 10/2

cross-multiply:  10x = 8x + 10

2x = 10

x = 5