3 multiplied by what equals 4.5

The closure of a figure is the joining of two or more points in a continuous line.

It is used to determine the perimeter of the figure. The perimeter is the total length of the boundary of the figure.

The formula for perimeter is P = 2(L + W), where L is the length and W is the width. For example, if a rectangle has a length of 4 cm and a width of 5 cm, then the perimeter would be 2(4 + 5) = 18 cm.

To find the closure of a figure, you need to connect the end points of the figure. For example, if you have a triangle with three vertices (A, B, and C), then you would connect point A to point B, point B to point C, and point C to point A to form the closure of the figure.

In conclusion, closure is the joining of two or more points in a continuous line to determine the perimeter of a figure. The formula for the perimeter is P = 2(L + W), where L is the length and W is the width. To find the closure of a figure, connect the end points of the figure.

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Complete question:

Prove that two triangles are congruent using the closure property.

Answer:

142.24 centimeters

Step-by-step explanation:

To convert from inches to centimeters, you multiply the inches value by 2.54 and that will give you its equivalent in centimeters.

56 * 2.54 = 142.24

Please mark brainliest and hope this helped.

Step-by-step explanation:

1. 5+2+3=5+(2+3) 2. 9a is equivalent to 11a-2a 3. 7a + 04 - 2a is equivalent to 7a + -2a + 4 4. 8a-(8a-8) is equivalent or = to 8.

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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The rate of change of the area of a circle when the radius is 4 cm is 4π cm2/sec.

This can be calculated using the formula for the area of a circle (A = πr2) and the chain rule for derivatives. The chain rule states that when the radius (r) changes, the area of a circle (A) is equal to 2πr times the rate of change of the radius (dr/dt).

Therefore, the rate of change of the area of a circle when the radius is 4 cm is equal to 2π(4 cm) × (0.5 cm/sec) = 4π cm2/sec.

Note that if the rate of change of the radius were different, the rate of change of the area would also be different. This formula can be used to calculate the rate of change of the area of a circle at any given radius, as long as the rate of change of the radius is known.

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Answer:

The correct option is;

C. 3.25 + 5.50·S ≤ 30

Step-by-step explanation:

The given parameters are;

The cost of the chocolate milk ordered = $3.25

The unit quantity of pancake sales = Stack

The number of pancakes in a stack = 4

The amount a stack of four pancakes is sold = $5.50

The number of pancakes Benjamin wants to buy = As many as he can

The number of stacks of pancakes Benjamin buys = S

The cost of the pancakes Benjamin buys = $5.5 × S

The cost of the number of pancakes Benjamin buys

The maximum amount Benjamin wants his bill to amount to = $30

Therefore we have;

The cost of chocolate milk ordered + The cost of pancakes Benjamin buys  ≤ $30

Which gives;

$3.25 + $5.50 × S  ≤ $30

Therefore, the correct option is 3.25 + 5.50·S ≤ 30.

Answer:

The answer is $41.89

Answer:

He made 5 2-pointers and 4 3-pointers

Step-by-step explanation:

Let x = number of 2-pointers he scored.

Let y = number of 3 pointers he scored.

The total number of shots he made is x + y, and it it equals 9.

The first equation is

x + y = 9

The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.

The second equation is

2x + 3y = 22

We have a system of 2 equations.

x + y = 9

2x + 3y = 22

We will use the substitution method.

Solve the first equation for x.

x = 9 - y

Now substitute 9 - y in for x in the second equation.

2x + 3y = 22

2(9 - y) + 3y = 22

18 - 2y + 3y = 22

y + 18 = 22

y = 4

Now we substitute 4 for y in the first equation and solve for x.

x + y = 9

x + 4 = 9

x = 5

Answer: He made 5 2-pointers and 4 3-pointers

Check:

5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.

Now we check the number of points.

5 * 2 + 4 * 3 = 10 + 12 = 22

22 points is the correct total.

Our answer is correct.

The paths of two particles are described by parametric equations. The first particle follows a circular path, while the second particle follows a path with both circular and linear components.

We need to graph the paths and determine the number of points of intersection.

Additionally, we need to find the collision point where the particles occupy the same position at the same time.

Lastly, we need to determine if there is a collision when the x-coordinate of the second particle is modified.

(a) To graph the paths of both particles, we plot the parametric equations x1 = 3sin(t), y1 = 2cos(t) and x2 = -3 + cos(t), y2 = 1 + sin(t) on a coordinate plane for 0 ≤ t ≤ 2π. The paths of the particles will be represented by curves. By analyzing the graph, we can count the number of points of intersection.

(b) To find the collision point, we need to find the values of t where x1 = x2 and y1 = y2 simultaneously. By setting 3sin(t) = -3 + cos(t) and 2cos(t) = 1 + sin(t), we can solve for t. The obtained value(s) of t will give us the collision point (x, y) where the particles occupy the same position at the same time.

(c) If the x-coordinate of the second particle is modified to x2 = 3 + cos(t), we need to repeat the process of finding the collision point. By setting 3sin(t) = 3 + cos(t) and 2cos(t) = 1 + sin(t), we solve for t. Depending on the solution(s) of t, we can determine if there is still a collision or not.

Please note that since this question involves graphing and solving equations, it is best to draw the graphs and solve the equations visually or using numerical methods to obtain specific values.

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The null hypothesis is rejected if the absolute value of the test statistic is greater than 1.96, If the absolute value of the test statistic is less than or equal to 1.96, we fail to reject the null hypothesis.

Null hypothesis (H0): The percentage of homeowners in the US population is 75%.

Alternative hypothesis (\(H_1\)): The percentage of homeowners in the US population is not equal to 75%.

The analyst has collected data from all over the country. Let's assume she has a sample size \(n\) and the number of homeowners in the sample is \(x\).

The task mentions a 5% level of significance, which means we will reject the null hypothesis if the probability of observing the data given that the null hypothesis is true is less than 5%.

To perform the hypothesis test, we can use the \(z\)-test since we have a large sample size The formula for the z-test statistic is:

\(z = \dfrac{(x - np)} {\sqrt{(npq})},\)

where \(np\)  is the expected number of homeowners\((n \times 0.75)\)), \(q\\\) is the complement of \(p (1 - p)\)), and sqrt denotes the square root.

The critical value is:

Since the significance level is 5%, we need to find the critical value for a two-tailed test. For a 5% level of significance, the critical z-value is\(+1.96\)

On Comparing the test statistic with the critical value:

The null hypothesis is rejected if the test is static if the absolute value of the test statistic is greater than 1.96

If the absolute value of the test statistic is less than or equal to 1.96, we fail to reject the null hypothesis.

Based on the comparison between the test statistic and the critical value, we can make conclusions about the hypothesis.

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Tim drove at a distance of 511 km in 7 h. His average driving speed in km/h is 73.

By computing Tim's average driving speed, we have to divide the total distance that he traveled by the time it takes him to complete the whole journey. In this respect, Tim drove a total distance of 511 km in 7 hours.

Average driving speed = Total distance/Total time taken

By putting the values in the equation we get :

Average driving speed =\(\frac{ 511 km}{7 h}\)

Now by computing  the average driving speed:

Average driving speed = 73 km

So, Tim's average driving speed was 73 km/h.

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Answer:

Part A: x = 6

Part B: S = 3.51

Step-by-step explanation:

How to Find the Mean

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Calculate the mean of 2,3,4,5,8,8,12

Step 1: Add all the numbers together, to find the sum

2 + 3 + 4 + 5 + 8 + 8 + 12 = 42

Step 2: Count the number of values in your data set

There are 7 numbers

Step 3: Divide the sum by the count

42 ÷ 7 = 6

So the mean is 6

How to find sample standard deviation, look at the picture

Answer:

Part A: x = 6

Part B: S = 3.51

Step-by-step explanation:

How to Find the Mean

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Calculate the mean of 2,3,4,5,8,8,12

Step 1: Add all the numbers together, to find the sum

2 + 3 + 4 + 5 + 8 + 8 + 12 = 42

Step 2: Count the number of values in your data set

There are 7 numbers

Step 3: Divide the sum by the count

42 ÷ 7 = 6

So the mean is 6

Step-by-step explanation:

Got the answer from the last person who answere and they are correct

Answer:

We know that the distributive property says this:

a(b+c) = ab + ac

If we apply this to our case, we can put

3a(2b+c) = 3a * 2b + 3a * c

When we multiply numbers and letters, we should multiply both of them:

3a * 2b + 3a * c = 3*2*a*b + 3*a*c = 6ab +3ac

We can use this when we find a number multiplied by a parenthesis..

Answer:

6ab + 3ac

Step-by-step explanation:

3a(2b) + 3a(c)

6ab + 3ac

To solve this problem, we can use algebraic equations. Let's say that the number of weeks it takes for Ted and Carly to have the same account balance is "w".

Ted's account balance after "w" weeks can be represented by:

300 + 4w

Carly's account balance after "w" weeks can be represented by:

16w

We want to find out when their account balances will be equal, so we can set these two equations equal to each other:

300 + 4w = 16w

Simplifying this equation, we get:

300 = 12w

Dividing both sides by 12, we get:

25 = w

Therefore, it will take 25 weeks for Ted and Carly to have the same account balance.

Answer:

the answer to that is -18x^2

Answer:

radius=3.19 km

Step-by-step explanation:

32/3.14159=r^2

r=3.19 km

The inflection points of the given function are at x = 0 only. The answer is D.

To find the inflection points of the given function, we need to find the second derivative of the function and set it equal to zero.

y = 5x^4 - x^5

y' = 20x^3 - 5x^4

y'' = 60x^2 - 20x^3

Setting y'' = 0, we get:

60x^2 - 20x^3 = 0

20x^2(3 - x) = 0

x = 0 or x = 3

Now, we need to determine whether these values of x correspond to inflection points. To do this, we can examine the sign of the second derivative in the intervals around each value of x.

For x < 0, y'' is positive (since both terms are positive), so there is a local minimum at x = -3.

For 0 < x < 3, y'' is negative (since 60x^2 < 20x^3), so there is a point of inflection at x = 0.

For x > 3, y'' is positive (since both terms are positive), so there is a local minimum at x = 3.

Therefore, the inflection points of the given function are at x = 0 only. The answer is D.

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Answer:

363 ft

Step-by-step explanation:

We can use a ratio to solve

330ft               x ft

------------     = ---------------

10 seconds      11 seconds

Using cross products

330*11 = 10x

Divide by 10

330*11/10 = x

363 = x

Answer:

The elevator will travel 363 feet in 11 seconds.

Step-by-step explanation:

To get this answer, first we need to figure out how fast the elevator can travel in one second.

Since we know that it can travel 330 feet in 10 seconds, we can use the equation : 330 ÷ 10 = 33

Now we know that in 1 second, the elevator can travel 33 feet.

Lastly, we multiply 11 seconds by 33 feet to get 363 feet.

Hope this helps:) Goodluck!

Within his budget, he can still purchase 6 tickets. The inequality is 40 < 5x + 10.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

In light of the query

With his $40, Jamal may get tickets for himself, his friends, and a show.

If he spends $10 to join a membership,

Money remaining = $40 - $10 = $30

Now he may purchase the ticket at $5 apiece.

Now, tickets that he may purchase while staying within his budget found using utilizing the unitary technique.

Tickets= $30 / $5

Tickets = 6

As a result, he may purchase the remaining 6 tickets for his budget.

A:

Number of tickets = x

Hence, the inequality is 40 < 5x + 10.

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Answer:

Step-by-step explanation:

$ 50.24

Answer:

5 rooms

Step-by-step explanation:

4 rooms = 9 hours

9 hours = 540 minutes

1 room = 540 ÷ 4 = 135 minutes

60 x 12 = 720 minutes (12 hours)

720 ÷ 135 = 5.33333

5.3333 estimated to nearest whole number = 5

Answer:

3x+2-10-3x

Terms: ONE b/c 3x +2-10-3x

3x-3x+2-10

-8

Like terms:3x and 3x

Coefficient:3

Constant:2 and -10

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❤

Answer:

d) RTS

Step-by-step explanation:

1) match up the points visually, by angle

M=R

O=T

N=S

2) select the correct answer :)

The statement of congruence is: ΔMONX ≅ ΔASTR. The correct option is C.

Congruence is a term used in geometry to describe the relationship between two geometric figures that have the same shape and size.

Two figures are said to be congruent if they have exactly the same dimensions and shape, and can be transformed into each other by a combination of rotations, reflections, and translations.

In a congruence statement, the order of the vertices matters. The triangles are congruent because they have the same size and shape, and their corresponding sides and angles are equal.

The vertices of ΔMONX correspond to the vertices of ΔASTR in the following way:

M corresponds to A

O corresponds to S

N corresponds to T

X corresponds to R

Therefore, the correct statement of congruence is ΔMONX ≅ ΔASTR, which can also be written as ΔASTR ≅ ΔMONX. The answer is C. ASTR.

Answer:

4:7, For every 4 books Andrew read, Mia read 7 books.

Step-by-step explanation:

Andrew read 16, Mia read 28, so the ratio is 16:28. This reduces to 4:7.

Answer:

For every 4 books Andrew read, Mia read 7 books.

Step-by-step explanation:

The ratio for 16:28 simplifies to 4:7. hope this helped!!!

The cost of renting the car of given function is 350$.

A special kind of function called an algebraic function is the answer to a polynomial equation with polynomial coefficients. Numerous hints about an algebraic function's characteristics can be found in its informal formulation. To gain an intuitive understanding, it may be helpful to regard algebraic functions as functions which can be formed by the usual algebraic operations: addition, multiplication, division, and taking an nth root.

The function is S(x)=110+60(x-1)=50+60x, for x=number of days total/partial, rounded up to the next integer.

Day 1 $110

Day 2 $110+60=$170

So S(4.5)=S(5)

S(4.5)=$110+$240=$350

Hence, the cost of renting the car is 350$

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Step-by-step explanation:

(9)

97 = 10x + 27

70 = 10x

x = 7

(11)

-127 = -50x + 23

-150 = -50x

x = 3

(13)

7x + 4 = -38

7x = -42

x = -6

(15)

-8 = -6x - 2

-6 = -6x

x = 1

Circumference of a circle = 2πr

where, r = radius

Given, diameter, d = 7 cm

radius, r = diameter/2

= d/2

Circumference of the circle = 2π(d/2)

(2 gets cancelled out)

= πd

= 22/7 × 7

= 22 cm