BC is included between _______

The ordered Pair that describes the location of M' is (-5,-1).

Given that a point M is located at (5,-1) on the coordinate plane and it is reflected over the y-axis to create point M'.

We know that when a point is reflected over the y-axis, the x-coordinate changes its sign. Hence the x-coordinate of M will become negative.

The formula for reflecting a point over y-axis is (x,y) → (-x,y)

Therefore, the coordinates of the new point M' would be (-5,-1).

Hence, the ordered pair that describes the location of M' is (-5,-1).

So, the correct option is D) (-5, -1).

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Answer:

z = 68

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the opposite internal angles

z = 39+29

z = 68

Answer:

4x - 3 = 12x + 2

So,

-5 = 8x

x = -5/8 :)

You are right about the domain.

A. Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion.

The mean value of strength for the conceptual population of all beams manufactured in this fashion is 7.92 MPa. This is calculated by adding up the strength values for all 20 beams and dividing by 20.

B. Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%.

The strength value that separates the weakest 50% of all such beams from the strongest 50% is 7.5 MPa. This is calculated by finding the median of the strength values.

C. Calculate a point estimate of the population standard deviation

The population standard deviation is 1.43 MPa. This is calculated by using the following formula:

σ = SQRT[(Σ(x - μ)^2) / N]

where:

σ is the population standard deviation

x is the individual strength value

μ is the mean strength value

N is the number of beams

D. Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa.

The proportion of all such beams whose flexural strength exceeds 10 MPa is 0.45. This is calculated by counting the number of beams with a strength value greater than 10 MPa and dividing by the total number of beams.

E. Calculate a point estimate of the population coefficient of variation.

The population coefficient of variation is 0.18. This is calculated by dividing the population standard deviation by the mean strength value.

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Answer:

9x is answer for your question

Step-by-step explanation:

5 (x - 2) + 4

Answer:

Scale factor of 1/4, to go from F back to E

Step-by-step explanation:

Scale factor of E to F = 4

Since we are going backwards from F to E, we just multiply it by 1/4, or divide by 4. It is the opposite.

In order to scale figure F back to figure E, scale factor 4 should you use.

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

A scale factor is a numerical value that is used to represent an object's larger or shrunk shape. It is a number that can be used to alter the size of any geometric figure or shape in relation to its initial size. It aids in altering the figure's size but not its shape.

The scale factor is obtained by the ratio of their sides,

20/5=4

8/2=4

As a result, the scale factor is 4.

Thus, In order to scale figure F back to figure E, scale factor 4 should you used.

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Answer:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

The figures P, R, and S are similar to figure Q because the similar figures have the same shape but not the same size.

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

Emily draws figures P, Q, R, and S. The center of dilation is point Z.

It is claimed that two figures are comparable if they share the same shape. The ratios of the lengths of the corresponding sides are equal when the two figures are comparable.

The similar figures P, R, and S are comparable to figure Q since they share the same shape but differ in size.

Thus, the figures P, R, and S are similar to figure Q because the similar figures have the same shape but not the same size.

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The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

y = 9/4

Step-by-step explanation:

Step 1: Write equation

3(4y - 7) = 6

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

3(4(9/4) - 7) = 6

3(9 - 7) = 6

3(2) = 6

6 = 6

When the Tootsie Roll pop is 0.75 inches across, the radius is half of that, which is 0.375 inches.

The rate at which the radius is decreasing is what we are looking for.

To calculate this, we need to use the chain rule for differentiation.

The volume of the lollipop is given by the formula: V = (4/3)πr³ where V is the volume and r is the radius.

To find the rate of change of volume with respect to time, we differentiate the above expression with respect to time t. So we get:  dV/dt = 4πr²(dr/dt)

Now we know that the rate of change of volume is constant and is equal to -20 cubic inches per minute.

We also know that the radius is decreasing at the rate of dr/dt inches per minute.

The radius is given to us as 0.375 inches.

Hence, we can substitute all these values in the above expression to find the value of dr/dt.

Therefore, we get:-20 = 4π(0.375)²(dr/dt)dr/dt

                                     = -20/(4π(0.375)²)

                                     = -1.13 inches per minute

Hence, the radius is decreasing at a rate of 1.13 inches per minute when the Tootsie Roll pop is 0.75 inches across.

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Step-by-step explanation:

m=13 because you add the 7 to the 6 and then divide it too m

Answer:

6+7=m

13=m

m=13

Step-by-step explanation:

1. Add 7 to both sides

2. simplify 6+7 to 13

3. switch sides

Answer:

Step-by-step explanation:

Correct order to prove BD bisects ∠ABC is,

              Statements                              Reasons

1). AB ≅ BC                                1). Given

   D is the midpoint of AC                

2). AD ≅ DC                              2). A midpoint divides a segment into two

                                                       congruent segments.

3). BD ≅ BD                              3). Reflexive property

4). ΔABD ≅ ΔCBD                    4). SSS property

5). ∠ABD ≅ ∠CBD                    5). Corresponding parts of congruent

                                                      triangles are congruent (CPCTC)

Answer:

The answer is 20 minutes. Trust me, I chose 20 and got it right

The graphs show that Function composition is not commutative. This is observed from the graph of the compositions f(g(x)) and g(f(x)), which are not symmetrical about the y-axis. In other words, the order of function composition matters.

Based on the given information, the correct statements are:

1. f(g(x)) = g(f(x)) for at least one value of x. This means that there is at least one value of x for which the compositions f(g(x)) and g(f(x)) are equal.

3. f(g(0)) = 5 and g(f(–2.5)) = 5. This indicates that when plugging in specific values, f(g(0)) and g(f(–2.5)) both evaluate to 5.

4. Both f(g(x)) and g(f(x)) have the same domain. The domain of a function refers to the set of all possible input values. In this case, both compositions have the same domain.

5. The graphs show that function composition is not commutative. This is observed from the graph of the compositions f(g(x)) and g(f(x)), which are not symmetrical about the y-axis. In other words, the order of function composition matters.

Therefore, the correct answer is: 1, 3, 4, 5.

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Answer:

-8

Step-by-step explanation:

EDGE

Answer: -17y-16z

Step-by-step explanation:

The process involves serving clients using two resources, with the first resource having a capacity of 1.2 clients per minute and the second resource having a capacity of 1.3 clients per minute. Additionally, there is a limitation that only one client can be served by the first resource at a time.

Based on the given information, we can infer that the first resource is a bottleneck in the process because it has a lower capacity compared to the second resource. The capacity of 1.2 clients per minute means that on average, the first resource can serve 1.2 clients in a minute.
Since only one client can be served by the first resource at a time, this means that there will be instances where the first resource is idle while waiting for the second resource to become available. The second resource, with a capacity of 1.3 clients per minute, can potentially serve clients faster than the first resource.
To optimize the process and maximize efficiency, it may be necessary to analyze the workload distribution and consider ways to balance the workload between the two resources. This could involve allocating tasks strategically or identifying ways to improve the efficiency of the bottleneck resource.

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The answer is shown in the picture

Answer:

[tex] \huge{ \fbox{ \sf{ - 3}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \text{Given}} : [/tex]

[tex] \longrightarrow{ \sf{ \: x = - 4}}[/tex]

[tex] \underline{ \text{To \: find}} : \: \sf{Value \: of \: the \: given \: expression}[/tex]

[tex] \sf{ {x}^{2} + 3x - 7}[/tex]

[tex] \text{Step \: 1}[/tex] : Plug the value of x

[tex] \sf{ { \mapsto ( - 4)}^{2} + 3 * \: ( - 4) \: - 7}[/tex]

[tex] \text{Step \: 2}[/tex] : Evaluate the power

[tex] \underline{ \text{Remember!}}[/tex] : Multiplying a negative integer by a negative integers gives a positive integer.

[tex] \mapsto{ \sf{16 + 3 \: * \: ( - 4) - 7}}[/tex]

[tex] \text{Step \: 3}[/tex] : Multiply : 3 by -4

[tex] \underline{ \sf{Remember!}}[/tex] : Multiplying positive integer by any negative integer gives a negative integer.

[tex] \mapsto{ \sf{16 + ( - 12) - 7}}[/tex]

[tex] \underline{ \text{Remember!}}[/tex] : ( + ) * ( - ) = ( - )

[tex] \mapsto{ \sf{16 - 12 - 7}}[/tex]

[tex] \text{Step \: 4}[/tex] : Subtract 12 from 16

[tex] \mapsto{ \sf{4 - 7}}[/tex]

[tex] \text{Step \: 5}[/tex] : Subtract 7 from 4

[tex] \underline{ \text{Remember!}}[/tex] : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \mapsto{ \boxed{ \sf{ - 3}}}[/tex]

Remember to follow PEMDAS

Parentheses , Exponents , Multiplication , Division , Addition , Subtraction

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

7.4

Step-by-step explanation:

If you take 55 and square root it, you will get your answer. This is because to get an area you take the 2 sides and multiply it to get the final answer and the sides are equal because it is a square.

I hope this helps

The proper notation for the line segment is option A.

A line segment is bounded by two distinct points on a line.

In other words, a line segment is a section of a line bounded by two points or connecting two points.

Therefore, the proper notation that represent the length of the line segment can be represented as follows:

The line length is 4 units and the length is DE.

Hence, the line segment is named as DE = 4. The answer is option A.

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Answer:

x = 60°

Step-by-step explanation:

x + 20 = 80 ( alternate angles )  

Subtract 20 from both sides

x = 60°

9514 1404 393

Answer:

  f(x) = (x +4)(x +1)(x -6)(x -2)^4

Step-by-step explanation:

Each root p will contribute a factor of (x -p) to the function. Repeated factors can be written using an exponent.

  f(x) = (x +4)(x +1)(x -6)(x -2)^4

Answer:

see below

Step-by-step explanation:

h(t) = -16t^2 + 256

h(4) =0

This means at t=4 second the height above the ground is 0

At 4 seconds, the penny will hit the ground

Charles Darwin predicted that tetrapods evolved from lobe-finned fishes. The observation that led to this hypothesis is the similarity of the limb structure of tetrapods to lobe-finned fish fins. He observed that the fin structure of the fish contained a similar bone pattern as the limb structure of tetrapods.

To support the hypothesis, the evidence that we can expect to find are fossils that have the transitional structures between the two organisms. We can also expect to find evidence of how the fins in fishes changed over time and how they evolved into the limb structures that we see in tetrapods. This could be in the form of fossils with intermediate stages between the two groups, showing how the structure of the fins changed over time and how that might have influenced the development of tetrapod limbs.

To find such fossils, we would look for rocks from the Devonian period, which lasted from around 419 to 359 million years ago. This is because this is the time period when tetrapods are believed to have evolved from lobe-finned fishes. It was during this period that the early tetrapod species such as Ichthyostega and Acanthostega evolved. As such, fossils of these early tetrapods and the fish they evolved from, as well as any intermediate fossils, would be most likely found in rocks from this time period.

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Answer:

29x38= 950

Step-by-step explanation:

The pair of numbers that maximizes the product and has a sum of 83 is (41.5, 41.5), which can be written as the fraction 83/2 in reduced form.

To determine the pair of numbers with a sum of 83 and maximum product, we can use the concept of quadratic equations.

Let the two numbers be x and y, where x + y = 83.

We want to maximize the product xy.

To do this, we can express one variable in terms of the other and then find the maximum value of the product using calculus.

From the equation x + y = 83, we can express y in terms of x as y = 83 - x.

The product of x and y is given by P(x) = x(83 - x).

To determine the maximum value of P(x), we can take the derivative of P(x) with respect to x and set it equal to zero:

P'(x) = 83 - 2x = 0

Solving this equation, we find x = 41.5.

Substituting this value back into the equation x + y = 83, we get y = 41.5.

This can be written in reduced form as the fraction 83/2 .

So, the answer is (83/2, 83/2).

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[tex]|7x|>21\\7|x|>21\\|x|>3\\x>3 \vee x<-3\\x\in(-\infty,-3)\cup(3,\infty)[/tex]