A.Are the expressions 3(m2) + 2(m2) and 5(m2) equivalent expressions?B.in two or more complete sentences justify ur answer to A

Answer:

maximum value is 17.

Step-by-step explanation:

8.5=1/2(x-0)

8.5=1/2x

8.5=x/2

8.5×2=x

17=x

x=17

Answer:

1\(\frac{2}{3}\)

Step-by-step explanation:

(2)(5/6) = 10/6 = 5/3 = 1  2/3

Answer:

2x 5/6 is 10/12. 10/12 is the simplest form

Step-by-step explanation:

Hope I am right and this helps!

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Answer:

Step-by-step explanation: its a

Answer:

No,

No

because every line has to equal 180. (for both of them)

The probabilities from the binomial probability mass function P(x ≤ 2) will be 0.9298.

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as

\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)

q = 1 - p = 1 - 0.10 = 0.90

Let x be a binomial random variable with p = 0.1 and n = 10.

The probabilities from the binomial probability mass function P(x ≤ 2) will be

P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x ≤ 2) = ¹⁰C₀ × (0.1)⁰ × (0.9)¹⁰ + ¹⁰C₁ × (0.1) × (0.9)⁹ + ¹⁰C₂ × (0.1)² × (0.9)⁸

P(x ≤ 2) = 0.3487 + 0.3874 + 0.1937

P(x ≤ 2) = 0.9298

Your question was incomplete but the complete question is given below.

Let x be a binomial random variable with p = 0.1 and n = 10. Calculate the probability from the binomial probability mass function less than or equal to 2.

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Typically, a score in the top 25th percentile for a student's grade level is considered to be a strong performance, while a score in the bottom 25th percentile may indicate a need for additional support.

The I-Ready Diagnostic is a widely used assessment tool that measures student proficiency in math and reading. It's commonly used in K-12 schools to help teachers and administrators track student progress and identify areas where students may need additional support.

Here's a more detailed explanation: A "good score" on the I-Ready Diagnostic depends on several factors, such as the student's grade level, the state's standards, and the student's past performance.

It's important to note that the I-Ready Diagnostic is designed to provide a snapshot of a student's current skills and understanding, and it should not be used as the sole measure of a student's ability.

A student's score on the I-Ready Diagnostic can change from year to year based on their progress and the new material they are exposed to.

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Answer:

Step-by-step explanation:

Just as the “stop sign” uses its 8 sides to communicate about “sharing the stop in all directions”, the yield sign’s 3 sides communicate as well. That triangle communicates that things’ll get tighter and tighter for you, as you move up. It’s sort of implicit - your space is going away. You need to stop and yield to others whose space hasn’t gone away.

-lukelaws

please brainiest in almost another level up!

the conclusion that G is a group is false if G is infinite.

To show that the conclusion may be false if G is infinite, we need to provide a counterexample of an infinite set with an associative binary operation that satisfies the given conditions but does not form a group.

Counterexample:

Let G be the set of all positive integers under the operation of multiplication.

1. Closure: The set G is closed under multiplication since the product of two positive integers is always a positive integer.

2. Associativity: Multiplication is associative, which means for all a, b, c ∈ G, (a * b) * c = a * (b * c).

3. Identity Element: The identity element is 1, as multiplying any positive integer by 1 results in the same integer.

4. Inverse Elements: For every positive integer a, there is no guarantee that there exists a positive integer b such that a * b = 1. This is because not all positive integers have multiplicative inverses within the set of positive integers. For example, there is no positive integer b such that 2 * b = 1.

Since G does not satisfy the requirement of having inverse elements for all its elements, it fails to be a group.

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(a)The levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units. (b)So, it is possible to make a profit of more than $359,400.

(a) To determine the level(s) of production that will yield a profit of $359,400, substitute P=359400 in the equation.6400x−18x^2−400 = 359400Adding 400 to both sides:6400x − 18x² = 359800

Dividing both sides by -2:9x² − 3200x + 179700 = 0

Applying the quadratic formula:

x = (-(-3200) ± √((-3200)² - 4(9)(179700))))/(2(9))

= (3200 ± √(10240000 - 6464400))/18

= (3200 ± √(3785600))/18

= (3200 ± 1946.55)/18x

= 292.36 or 651.64

Thus, the levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units.

(b) To determine if a profit of more than $359,400 can be made, we need to determine the maximum profit by completing the square, and comparing it to $359,400.P=6400x−18x^2−400

Completing the square: P= -18(x - 88.89)² + 710937.2

Maximum profit is $710,937.20, which is more than $359,400.

So, it is possible to make a profit of more than $359,400.

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Answer:

\(x \approx 9.823\ ft\)

Step-by-step explanation:

Remember that the area of a sector is defined as:

\(A = \frac{\theta}{360^\circ}\times \pi r^2\)

In this problem, we are given the area \(A\), and the angle \(\theta\). We can set up an equation to solve for the radius, which is x:

\(A = \frac{\theta}{360^\circ}\times \pi r^2\\128 = \frac{152}{360}\times \pi r^2\\128 \times \frac{360}{152} = \pi r^2\\\frac{5760}{19} = \pi r^2\\r = \sqrt{\frac{5760}{19 \pi}}\\r \approx 9.823\)

Answer:

r ≈ 9.8 feet

Step-by-step explanation:

Formula of A Sector

Substitute the given values in the formula to find r.

Answer:

The answer is option A) r and s

The limits are evaluated as limₓ→∞ (3x + 15)/(x² + 2) = 0, limₓ→-∞ (9x² + 2)/(3x + 17) = -∞, and limₓ→∞ ln[(3x³ + 4)/(5x⁴ + 23x)] = ln(3/5).

We need to sketch a function given the conditions: f(x) is continuous on its domain (x ≠ 3), f(1) = 0, limₓ→3 f(x) = -∞, limₓ→∞ f(x) = 1, limₓ→-∞ f(x) = -2.

So, let us summarize all the given conditions:At x = 1, f(x) = 0limₓ→3 f(x) = -∞limₓ→∞ f(x) = 1limₓ→-∞ f(x) = -2.

Now, we can make the following graph with the help of these conditions:Figure 1: Sketch of function f(x)Note: The sketch may not be perfect but it should give a rough idea about how the function may look like.

We are given the following limits: limₓ→∞ (3x + 15)/(x² + 2), limₓ→-∞ (9x² + 2)/(3x + 17), limₓ→∞ ln[(3x³ + 4)/(5x⁴ + 23x)].We need to determine these limits one by one. (a) limₓ→∞ (3x + 15)/(x² + 2).

We can use the method of division by highest power of x to determine this limit. So, the numerator and denominator should be divided by the highest power of x, i.e., x². We get, limₓ→∞ (3x + 15)/(x² + 2) = limₓ→∞ (3/x + 15/x²)/(1 + 2/x²).

Now, taking the limit on both sides, we get, limₓ→∞ (3x + 15)/(x² + 2) = 0. (b) limₓ→-∞ (9x² + 2)/(3x + 17)We can again use the method of division by highest power of x to determine this limit.

So, the numerator and denominator should be divided by the highest power of x, i.e., x. We get, limₓ→-∞ (9x² + 2)/(3x + 17) = limₓ→-∞ (9 - 2/x)/(3/x + 17/x²).

Now, taking the limit on both sides, we get, limₓ→-∞ (9x² + 2)/(3x + 17) = -∞. (c) limₓ→∞ ln[(3x³ + 4)/(5x⁴ + 23x)].

We can write this limit as the difference of two logarithmic limits.

We get, limₓ→∞ ln[(3x³ + 4)/(5x⁴ + 23x)] = limₓ→∞ [ln(3x³ + 4) - ln(5x⁴ + 23x)]Now, applying the logarithmic limit rule, we get, limₓ→∞ ln[(3x³ + 4)/(5x⁴ + 23x)] = ln(3/5).

Hence, the main answer is,limₓ→∞ (3x + 15)/(x² + 2) = 0limₓ→-∞ (9x² + 2)/(3x + 17) = -∞limₓ→∞ ln[(3x³ + 4)/(5x⁴ + 23x)] = ln(3/5).

In conclusion, we sketched the function given the conditions and determined the following limits: limₓ→∞ (3x + 15)/(x² + 2), limₓ→-∞ (9x² + 2)/(3x + 17), limₓ→∞ ln[(3x³ + 4)/(5x⁴ + 23x)]. The limits are evaluated as limₓ→∞ (3x + 15)/(x² + 2) = 0, limₓ→-∞ (9x² + 2)/(3x + 17) = -∞, and limₓ→∞ ln[(3x³ + 4)/(5x⁴ + 23x)] = ln(3/5).

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The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:

Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.

Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.

For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.

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Answer:

Step-by-step explanation:

It's a simple question as we know:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

Now, your line is in slope intercept form you can compare it with

y=mx+c

m=12 and c=16. You can also put your point to verify your answer.

Answer:

y = + or - sqrt (5) Please mark as the best answer.

Step-by-step explanation:

(2y)^2 = (2y)^1+1 = (2y)^1 * (2y)^1 = (2y)(2y) (When you multiply, exponents add)

2*2=4

y*y=y^2 (Use the same process again)

Put above back in the equation:

4y^2 + y^2 = 25 (Collect like terms. 4 and 1 both have y^2 so can add them)

5y^2 = 25 (Divide by 5 on both sides)

y^2 = 5 (Get rid of ^2 by sqrt symbol)

So,

y = + or - sqrt (5) (I normally write a smaller plus and then negative below. It is a + and a - because both +5 and -5 to the second power give 25.)

Concept and uses of image translation are explain below.

In math, a change is an activity that moves, flips, or changes a shape (called the preimage) to make another shape (called the picture). An interpretation is a sort of change that moves each point in a figure a similar distance in a similar course.

An interpretation is a kind of change that takes each point in a figure and slides it a similar distance in a similar course. This interpretation maps △ X Y Z \triangle{XYZ} △XYZtriangle, X, Y, Z onto the blue triangle. The outcome is another figure, called the picture. The picture is consistent to the first figure.

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The orthocenter of the ΔABC is ( -1,5 ).

In a right triangle, the orthocenter is the polygonal vertex of the right angle. When the triangle's vertices and orthocenter are joined, any point becomes the orthocenter of the other three points, according to Carnot (Wells 1991). These four locations thus form an orthocentric system.

Given the  co-ordinates A( -3,3 ), B( -1,7 ) and C( 3,3 ).

To find the orthocenter using below steps:

1. First, we find the equations of AB and BC.

The general form of a line is y = mx + b

where m is the slope and b is the y-intercept.

Using the formula of slope given \($m =\frac{y_2 - y_1}{x_2 - x_1}\)  , we will find the slope of AB and BC.

Now, slope of AB is m = (7-3/-1 + 3)  

i.e. m = (4/2) = 2

Putting this 'm' in the general form and using the point B(-1, 1), we get the y-intercept as,

y = mx + b

1 = 2 × (-1) + b

i.e. b = 3.

So, the equation of AB is y = 2x + 3.

Also, slope of BC is m=(3-7/3+1)  i.e. m=-4/4 i.e. m--1

Putting this 'm' in the general form and using the point B( -1,1 ), we get the y-intercept as,

y = mx + b i.e. 1 = (-1) × (-1) + b i.e. b = 0.

So, the equation of BC is y = -x.

2. We will find the slope of line perpendicular to AB and BC.

When two lines are perpendicular, then the product of their slopes is -1.

So, slope of line perpendicular to AB is \(m*2=-1\)  i.e. m = -1/2

So, slope of line perpendicular to BC is  i.e.\(m*-1=-1\) i.e. m = 1.

3. We will now find the equations of line perpendicular to AB and BC.

Using the slope of line perpendicular to AB m=-1/2 i.e.  and the point opposite to AB

i.e. C(3, 3), we get,

y = mx + b

i.e. \(3=-1/2*3+b\)  

i.e. b = 9/2

So, the equation of line perpendicular to AB is

\(y=-x/2+9/2\)

Again, using the slope of line perpendicular to BC i.e. m = 1 and the point opposite to BC

i.e. A( -3,3 ), we get,

y = mx + b

i.e. 3 = 1 × -3 + b

i.e. b = 6.

So, the equation of line perpendicular to BC is y = x+6

4. Finally, we will solve the obtained equations to find the value of (x, y).

As, we have y = x + 6 and  y = -x/2 + 9/2

This gives, y = -x/2 + 9/2 → x + 6

y = -x/2 + 9/2

simplifying the above equation, we get

2x + 12 = -x + 9

3x = -3

x = -1.

So, y = x + 6

simplifying the above equation, we get

y = -1 + 6

y = 5.

The value of x = -1 and y = 5.

Hence, the orthocenter of the ΔABC is ( -1,5 ).

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Answer: multiple the fractions

Step-by-step explanation:

1, 43/8 ÷3/2 when we write it as multiplication it is going to be 43/8*2/3

and the solution is

=86/24

simplify it

the result is

=43/12

2, 32/3÷4/3

then 32/3*3/4

=8

3, 51/4÷5/2

then 51/4*2/5

=51/10

So the annual rate of increase in the value of the soccer ball is 5%.

Percent is a term used to describe a proportion or a fraction of something in terms of 100. The word "percent" comes from the Latin term "per centum," which means "per hundred." In mathematics, a percent is represented by the symbol "%". Percentages are used in a variety of contexts, such as to describe a percentage increase or decrease in a quantity, or to express the probability of an event occurring. Percentages are also commonly used in finance, economics, and statistics to represent changes in values, interest rates, inflation rates, and other economic indicators.

Here,

To calculate the annual rate of increase in the value of the soccer ball, we can use the formula:

annual rate of increase = (new value - original value) / original value * 100%

Using the values given in the prompt, we can calculate the annual rate of increase in the value of Gwen's autographed soccer ball as:

annual rate of increase = ($388.50 - $370) / $370 * 100%

annual rate of increase = $18.50 / $370 * 100%

annual rate of increase = 5%

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Answer: Choose A my smart self just knew

6x³ -4x² +4 is the additive inverse of polynomial -6x³ +4x² -4

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is  -6x³ +4x² -4

Polynomial is minus six x cube plus four x square minus four.

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

6x³ -4x² +4 is the additive inverse of -6x³ +4x² -4

because -6x³ +4x² -4+6x³ -4x² +4=0

Hence, 6x³ -4x² +4 is the additive inverse of polynomial -6x³ +4x² -4

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Answer:

2/4 and 4/8 are equivalent because you can use the butterfly method of multiplication. Meaning you multiply the numerator by the other fractions denominator and vis-versa.

Step-by-step explanation:

2 x 8 = 16

4 x 4 = 16

The required equivalent expression to 2/4 is given as 4 / 8.

Given that,
To justify multiplication to show that two-fourths and four-eighths are equivalent.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
given fraction,
= 2 / 4
Multiply by 2 on both the numerator and denominator,
= [2 × 2 ] / [2 × 4]
= 4 / 8
or
2 / 4 = 4 / 8 = 1/2

Thus, the required equivalent expression to 2/4 is given as 4 / 8.

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You would expect approximately 136 numbers in the data set to be between 56 and 74.

To determine the number of numbers you would expect to be between 56 and 74 in a normally distributed data set with a mean of 65 and a standard deviation of 9, we can utilize the properties of the standard normal distribution.

First, we need to standardize the values of 56 and 74 by converting them to z-scores. The z-score formula is:

z = (x - μ) / σ

where z is the z-score, x is the data value, μ is the mean, and σ is the standard deviation.

For 56:

z = (56 - 65) / 9

z = -1

For 74:

z = (74 - 65) / 9

z = 1

Next, we need to find the area under the standard normal curve between the z-scores -1 and 1. We can use a standard normal distribution table or a calculator to find this probability.

Using a standard normal distribution table, the area between -1 and 1 is approximately 0.6826. This represents the proportion of the data that falls within one standard deviation of the mean.

To find the number of numbers expected to be between 56 and 74, we multiply the proportion by the total number of data points:

Expected number = Proportion * Total number of data points

Expected number = 0.6826 * 200

Expected number ≈ 136.52

As a result, you would anticipate that roughly 136 of the data set's numbers would fall between 56 and 74.

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In a queueing system with customer arrivals every 6 seconds and service times of 4 seconds, the task is to calculate the average number of customers in the queue

To calculate the average number of customers in the queue, we can use Little's Law, which states that the average number of customers in a stable queueing system is equal to the average arrival rate multiplied by the average time spent in the system.

First, we need to calculate the average arrival rate. Since customers arrive once every 6 seconds, the arrival rate is 1 customer per 6 seconds or 1/6 customers per second.

The total service time is 4 seconds, and the standard deviation is 5.9. Therefore, the average service time is 4 seconds.

Using Little's Law, we multiply the average arrival rate (1/6 customers per second) by the average service time (4 seconds) to obtain the average number of customers in the queue.

Average number of customers in the queue = (1/6) * 4 = 2/3 ≈ 0.667

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So in this question we say if N is a known positive injured For what value of K. is the integral from one decay of X to the power of n minus one dx Equal to one over N. Well let's see if I have the integral from one. Check X X to the power of N -1 DX. What do I do to evaluate that definite interval? The first thing I do is I add one to my exported X to the N power and then I divide by that new exposure. So X to the end over it. And I'm going to evaluate this On the interval from 1 to K. And so that's giving me okay to the end power over in minus 1 to the end power over in equals one over it. Now, certainly one to the power of N is just one. So I'm getting K to the power of N over and -1 over N equals one over N. Now I'll add one over end to each side so that I'm getting K to the N over N equals two over N. Now I multiply both sides by N. That gives us thank you K. To the power of N equals two. And now my goal is to solve for K. Right? So I'm going to have to raise both sides to some power to get rid of that ends power I can raise both sides to the power of one over N. I'm going to raise both sides To the power of one over N. The reason is when you have a power to a power, what do you do to those exponents? You multiply those expose right End Times one over N is just one. And so here on the left, I'm getting just K to the first power and this is equal to chew to the power of one of ren answer choice. D. My final answer. Another way that you might do it, you might take the route of each side. But then when you take the root of something, that's the same as raising it to the power of one over and as well. And so K two the K equals two to the power of one over N. We got our anti derivative plugged in our limits of integration and solve for K. That was our strategy. Hopefully that was helpful. Have a good rest of your day.

Answer:

-2

Step-by-step explanation:

f(x) = 3x + k

f(4) = 10

f(4) = 3×4+k

10 = 12 + k

10-12 = k

k = -2

\( \sin(a) = \frac{opposite}{hypotenuse \\ } \\ \\ \sin(a) = \frac{5}{8} \\ \\ a = \sin {}^{ - 1} ( \frac{5}{8} ) \\ \)

measure of A is approximately equal to 39°

HOPE IT HELPS

PLEASE MARK ME AS BRAINLIEST

Answer:

a^2=5^2+8^2

a^2=25+64

a^2=89

a=9.43398

9.43 to the nearest hundred

Step-by-step explanation:

we use the pythagorus theorem because our triangle is right angled

a^2=b^2+c^2

Answer:

8

Step-by-step explanation:

Let the number be n

6*n = 16 + 4*n

6n = 16 + 4n

6n - 4n = 16

2n = 16

2n/2 = 16/2

n = 8