if someone could please answer this question I would really appreciate it!

Answer:

29x38= 950

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

x + 20 = 80 ( alternate angles )  

Subtract 20 from both sides

x = 60°

Answer:

96 ft/s toward home plate

Step-by-step explanation:

because I Know this because I actually teached a class about this

The velocity of the ball is 96.031 ft/second if a pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

A pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.

The distance baseball traveled = 60.5 ft

Time it takes = 0.63 seconds

As we know, the distance-time relationship:

u = d/t

Here, u is the velocity

d is the distance

t is the time

u = 60.5/0.63

u = 96.031 ft/second

Thus, the velocity of the ball is 96.031 ft/second if a pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.

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Answer:

always a real number

Answer:

Real number

Step-by-step explanation:

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:

= -$47.00

Step-by-step explanation:

Because -12-35=-47

Answer:

umm... This how I learned from the chapter simple equation. Hopefully helps

Step-by-step explanation:

5(x - 3) = 25  we have to find the value of 'x'

so transpose 5 x to the other side = (x - 3) = 25 divided by 5 becuz it was multiplication on the other side so it is equal to = (x - 3) = 5

Now we transpose -3 which is equal to = x = 5 + 3 = 8

so, x = 8

hopefully it helps!!!!!!!

Step-by-step explanation:

first use distributive property

like this 5(x-3)=25

5x-15=25

then 5x=25+15

5x=40

5x/5=40/5

x=8

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

Answer:

9x is answer for your question

Step-by-step explanation:

5 (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

You are right about the domain.

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:

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:

The explicit formula is  [tex]a_{n}[/tex] = - 13 - 7n

Step-by-step explanation:

Let us at first find the type of the sequence

∵ The terms are - 20, - 27, - 34, - 41, ............

→ Find the difference between each to consecutive terms

∵ - 27 - (- 20) = - 27 + 20 = - 7

∵ - 34 - (- 27) = - 34 + 27 = - 7

∵ - 41 - (- 34) = - 41 + 34 = - 7

→ There is a constant difference between each two consecutive terms

∴ The sequence is Arithmetic

→ The explicit formula of the nth term of the arithmetic sequence is

∵ a = - 20

∵ d = -7

∴ [tex]a_{n}=-20+(n-1)(-7)[/tex]

→ Simplify it

∴ [tex]a_{n}[/tex] = - 20 + (-7)(n) - (-7)(1)

∴ [tex]a_{n}[/tex] = - 20 + (-7n) - (-7)

∴ [tex]a_{n}[/tex] = - 20 - 7n + 7

→ Add the like terms

∴ [tex]a_{n}[/tex] = (- 20 + 7) - 7n

∴ [tex]a_{n}[/tex] = - 13 - 7n

The explicit formula is  [tex]a_{n}[/tex] = - 13 - 7n

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 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:

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)

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:

4x - 3 = 12x + 2

So,

-5 = 8x

x = -5/8 :)

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

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:

.50 each

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 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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For the given problem, the area of ∆DEF is (1/9) x.

In the problem, we are given that ∆ABC is similar to ∆DEF with a scale factor of 1:3. This means that the corresponding sides of ∆DEF are three times longer than those of ∆ABC. Since the area of a triangle is proportional to the square of its side length, the area of ∆DEF will be proportional to the square of the scale factor, which is (1/3)^2 = 1/9.
Given that the area of ∆ABC is x, the area of ∆DEF can be found by multiplying the area of ∆ABC by the proportionality constant. Therefore, the area of ∆DEF is (1/9) x.
To summarize, the area of ∆DEF is (1/9) x, where x represents the area of ∆ABC. Thus, option A, (1/3) x, is the correct answer.

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  the complete question is:

       ∆ABC is similar to ∆DEF. The scale factor between ∆ABC and ∆DEF is 1:3. If the area of ∆ABC is x, then find the area of ∆DEF. A.(1/3) x
B. 3x
C. (1/2)(9x)
D. 9x

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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The statement "the midpoint method is commonly used to compute elasticity because it gives the same answer regardless of the direction of change" is the correct option from the given options.

Generally, the midpoint method is used to calculate elasticity since it is not affected by the direction of change. As a result, the coefficient will be constant regardless of the direction of change.To calculate the slope of a straight line, the standard formula is used:

slope=change in y/change in x.

The slope of the line is the same whether we move from left to right or right to left because the numerator and denominator will have opposite signs, but the slope will always be the same.The same holds true for the concept of elasticity. Elasticity measures the responsiveness of one variable to changes in another variable. We use the same formula for the midpoint method:

elasticity=(change in Q/average Q)/(change in P/average P).

To compute elasticity, we must first determine the average values. The midpoint method calculates the elasticity by comparing two points, which is accomplished by taking the average of the two points. The denominator is the average price and quantity, which is the midpoint between the initial and final price and quantity. As a result, the numerator and denominator will have opposite signs, and the same elasticity will be calculated regardless of the direction of change.In contrast, using the standard method to calculate elasticity may yield differing results based on the direction of change. Because of the difference between the starting and ending points, the elasticity will be computed differently when moving from left to right versus right to left.

Thus, we can conclude that the midpoint method is commonly used to compute elasticity because it gives the same answer regardless of the direction of change.

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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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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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