4. The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?

Therefore , the solution of the given problem of  Pythagoras theorem is the value of AB is 8cm.

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, , are equal to the squares on the legs.

Here,

Given, in △ABC, ∠B=90

∴AC²=AB²+BC²

By  Pythagoras theorem

=>  AC²=AB²+BC²

=> 17² = 15² + AB²

=> 289 = 225 + AB²

=> 289 - 225 = AB²

=>AB = 64

=>AB = 8

thus , 8cm is the side length of AB

Therefore , the solution of the given problem of  Pythagoras theorem is the value of AB is 8cm.

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Juan needs to spent 22.23 to buy 7.8 pounds of seedless red grapes.

A unitary method is a mathematical method for calculating the value of a single unit and then multiplying it by the number of given units.

Given that:

Juan purchased 7.8 pounds of seedless red grapes for $2.85 per pound.

The cost of the unit pound is already given here. To get the cost of 7.8 pounds, multiply the cost of the unit pound by the number of pounds,      i.e.  

= (7.8×2.85)

= 22.23.

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Any number will do as a starting point. Then, multiply that figure by 9. If the outcome is a multiple-digit number .

In mathematics, a sequence is a list of things that are in a particular order (or events). It has members, much like a set (also called elements, or terms). The number of ordered items determines the sequence's length (potentially infinite). Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary types of sequences that you should be aware with. A number sequence is a group of numbers connected by a rule. If you understand the rule, you can figure out the subsequent numbers in the series. Each number in this case differs from the others by 6. Because of this, the rule for this sequence is to add 6 each time.

given

Any number will do as a starting point.

Then, multiply that figure by 9. If the outcome is a multiple-digit number, add the digits to create a new number.

Add the digits of that new number together to create a new one if it is still a multi-digit number.

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In the given diagram, using similar triangles theorem, the value of x is 17

From the question, we are to determine value of x in the given diagram

From the similar triangles theorem, we can write that

JK/KL = UV/VW

From the given information,

JK = 4x - 23

KL = 25

UV = 2x + 2

VW = 20

Thus,

(4x - 23)/25 = (2x + 2)/20

20(4x - 23) = 25(2x + 2)

80x - 460 = 50x + 50

80x - 50x = 50 + 460

30x = 510

x = 510/30

x = 17

Hence, x is 17

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The finance charge for a $4,000, 2-year loan with a 4% APR would be $320.

A finance charge is the interest we will pay on a debt and it's generally used in the context of credit card debt. A finance charge is normally calculated by using your annual percentage rate, or APR, the amount of money you owe, and the time period.

To calculate the finance charge, you would use the formula: Finance Charge = (APR/12) x Principal x Time (in months)

In this case: Finance Charge = (4/100/12) x $4,000 x 24 = $320.

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1. The complete table is:

x  |  f(x)     |   g(x)                

0     1             0

1     3             3

2    9             6

2. g(x) has the greater rate of change between 0 and 1 is: g(x).

3. f(x) has the greater rate of change between 1 and 2 is: f(x).

4. f(x) is greater.

The rate of change = f(b) - f(a) / b - a.

Given the following functions as:

f(x) = 3^x

g(x) = 3x

1. Complete the table by plugging in each of the values of x:

x  |     f(x)                                  |                         g(x)                            

0    f(0) = 3^0 = 1                        g(0) = 3(0) = 0

1     f(1) = 3^1 = 3                         g(1) = 3(1) = 3

2    f(2) = 3^2 = 9                        g(2) = 3(2) = 6

2. Rate of change between 0 and 1:

a = 0

b = 1

For function f(x) = f(b) - f(a) / b - a = 3 - 1 / 1 - 0 = 2

For function g(x) = g(b) - g(a) / b - a = 3 - 0 / 1 - 0 = 3

The function with the greater rate of change between 0 and 1 is: g(x).

3. Rate of change between 1 and 2:

a = 1

b = 2

For function f(x) = f(b) - f(a) / b - a = 9 - 3 / 2 - 1 = 6

For function g(x) = g(b) - g(a) / b - a = 6 - 3 / 2 - 1 = 3

The function with the greater rate of change between 1 and 2 is: f(x).

4. Rate of change between 0 and 2:

a = 0

b = 2

For function f(x) = f(b) - f(a) / b - a = 9 - 1 / 2 - 0 = 4

For function g(x) = g(b) - g(a) / b - a = 6 - 0 / 2 - 0 = 3

The function with the greater rate of change between 0 and 2 is: f(x).

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Answer:5

Step-by-step explanation: 42 divided by 4 = 10.5

10.5 divided by 2 = 5.25

round it and you get 5 pies per peck of apples

Natural methods that may help to open the cervix include acupuncture, herbs such as red raspberry leaf, exercise, sex and nipple stimulation.

There are several natural methods that may help to soften and open the cervix in preparation for childbirth, including:

Acupuncture: Acupuncture has been found to be effective in helping to prepare the cervix for labor by promoting the release of oxytocin, a hormone that can help to soften and open the cervix.

Herbs: Certain herbs, such as red raspberry leaf, can help to tone the uterus and prepare the cervix for labor.

Exercise: Regular physical activity can help to maintain good health and prepare the body for labor.

Sex: Semen contains prostaglandins which can help to soften the cervix.

Nipple stimulation: Stimulating the nipples can also cause the release of oxytocin, which can help to soften and open the cervix.

It is important to note that these methods may not work for everyone, and it is best to consult with a healthcare provider before trying any new method.

Also, It's not advisable to self-induce labor or try to open the cervix before it's time as it can cause problems for both mother and baby.

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The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.

Comparing amounts is done using a ratio. A ratio demonstrates how many times one amount fits inside another or how much larger one amount is than another.

If I need to mix some cement, I would add two parts cement to four parts sand. The two numbers are both portions of the entire. Hence, the 2:4 ratio (6 parts in total). The written version is crucial; 4:2 would produce a different blend.

Ratios are expressed in their most basic form. There are five green and fifteen red dots in the figure on the right. The ratio is 15:5, but like with fractions, this can be boiled down to its most basic form.

If you look at the relationship between the numbers 15:5 as is 3:1, you can see that 3 is multiplied by 5 to obtain 15 and that 1 is multiplied by 1 to get 5. The ratio, as we can see in the image, is also 3:1.

Therefore,

The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.

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In the table that shows the  the length, in inches, of fish in a pond, there are no outlier. Last option

In mathematics, an outlier is a value that is significantly different from the other values in a dataset. Outliers can be caused by measurement error, data entry errors or by extreme values that are genuinely different from the bulk of the data. They can skew the overall picture of the data and can affect the results of statistical analyses.

Outliers can be identified in several ways, one way is to use a box-and-whisker plot, which shows the distribution of a dataset by displaying the minimum, first quartile, median, third quartile, and maximum values.

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Answer: D

Step-by-step explanation:

I got it right on the test

The full price of the wallet that Nathan bought before the discount is $18.60

In this case, we are given that:

The total price after the discount = $17.67

Let’s assume that the full price of the wallet is X

The discount = 5% off = 0.05 X

We can find the full price by using this following formula:

Full price – discount price = total price after discount

X – 0.05X = 17.67

0.95X = 17.67

X = 17.67 : 0.95

X = 18.6

Therefore, the full price of the wallet before the discount is $18.6

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The value of x is 70°

Solution:

Interior angle = (n-2) . 180°

(6 - 2) . 180°

Measure of Interior angle = 720°

x + 102 + 146 + 120 + 124 + 158 = 720°

x = 70°

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Answer:

2 sides of equal length meaning the poster is a rectangle

When graphing the dots the first number is x and the second is y. when you graph the dots it should line up and look like a straight line, it doesnt matter if its diagonal as long as its straight. thats one of the reasons on why its proportional. graph the third box. (-2,-4) (-1,-2) (1,2) (2,4). thats the only box with a proportional relationship because when checking if its proportional you put the y over x to make it a fraction. for example, 2/1  which simplified is just 2. then you do that again with the rest of the table. using the third table it would be -4/-2 which simplified is 4/2 2/1 also known as 2. -2/-1 2/1 2. 2/1 2. 4/2 2/1 2. all of those simplified is 2 meaning its proportional. hope this helps!

It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).

In the given question, we have to check that it is possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 4.8 and 6.2

4.8 + 6.2 < 12

11 < 12

Now we add 6.2 and 12

6.2 + 12 > 4.8

18.2 > 4.8

Now we add 4.8 and 12

12 + 4.8 > 6.2

16.8 > 6.2

It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).

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It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.

In the given question, we have to check that it is possible to construct a triangle whose sides are 5 cm 6 cm and 11cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 5 and 6

5 + 6 = 11

11 = 11

Now we add 6 and 11

6 + 11 > 5

17 > 5

Now we add 5 and 11

5 + 11 > 6

16 > 6

It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.

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Step-by-step explanation: hi I also need help with this when the answer is posted pls let me know

Answer:

1.  17

2.  6

3.  (9/8)

4.  (2/3)

Step-by-step explanation:

1. 3(x-12) =15

   3x-36=15

   3x = 51

     x = 17

2. -5(-2×+10) =10

    10x - 50 = 10

    10x = 60

      x = 6

3. 8(6-4x) = 12

    48 -32x = 12

     -32x = -36

        x = (-36/-32)

        x = (9/8)

4. 3(2+6X) = 18

     6 + 18x = 18

       18x = 12

          x=(12/18)

         x = (2/3)

The train left Vicky's town at 7:38 A.M. after traveling for  4 hours and 50 minutes to Wildgrove.

To calculate this, we need to work backward from the arrival time in Westminster. The train arrived in Wetminter at 12:28 P.M. and it took 2 hours to travel from Wildgrove to Westminster. So, if we subtract 2 hours from 12:28 P.M., we get 10:28 A.M.

Next, we need to take into account the time it took for the train to travel from Vicky's town to Wildgrove. The train traveled for 4 hours and 50 minutes to Wildgrove.

So, if we convert 4 hours and 50 minutes to minutes (4*60+50 = 290 minutes) and subtract it from 10:28 A.M., we get 7:38 A.M. This is the time the train left Vicky's town.

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Answer:

m<T = 36*

m<V = 54*

Step-by-step explanation:

2x + 90 + 3x = 180

5x + 90 = 180

5x = 90

x = 18

<T = 2x = 18 * 2 = 36

<V = 3x = 18 * 3 = 54

Hope this helps!

D) it has indefinite shape but define volume

Liquids take shape of whatever container you put them in but flow freely if un-restrained, it has a volume because it doesn't grow or disappear unless acted upon

Answer:

B. Isosceles

Step-by-step explanation:

It is 7th grade, maybe even 5th or 6th.

A scalene has no equal sides.

An isosceles has 2 equal sides

An Equilateral has 3 equal sides

Acute has angles less than 90 degrees

The box in the corner means 90 degrees so it's a right triangle and the ticks mean congruent. Obviously right isn't one of the options so isosceles is correct

Answer:

Isosceles Triangle

Step-by-step explanation:

An Isosceles or a scalene can have a right angle, but a scalene right triangle has a longer side that isn't equivalent like the sides of this triangle. So this makes it isosceles.

-Hope this helped

A pyramid with a square base has a volume of 42.67 cubic meters.

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.

Here,

perimeter=12.8 m

side=12.8/4

=3.2 m

volume=1/3*3.2²*12.5

=1/3*128

=42.67 m³

The volume of a pyramid with a square base is 42.67 m³.

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The image of Point A, after a dilation which is centered at the origin with a scale factor of 2 is ( 4, 2 )

When a dilation is centered at the origin with a scale factor of 2, the coordinates of a point are multiplied by 2.

Given a point A(2,1) , the image of point A after a dilation centered at the origin with a scale factor of 2 is:

Point X :

= 2 x 2

= 4

Point Y:

= 1 x 2

= 2

So the image of point A after the dilation is the point A' with coordinates ( 4, 2 )

It's important to note that dilation either expands or contracts the figure and the center of dilation is the fixed point around which the expansion or contraction occurs.

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Answer:

(3,1)

Step-by-step explanation:

The number of games that the team won away from home is given as follows:

2 games.

The number of games that the Paris Saint Germain team won away from home is obtained applying the proportions given in the context of this problem.

60% of the 20 games he attended were at home, hence 40% of the games were away games, hence the number of away games attended by Monsieur is given as follows:

0.4 x 20 = 8 games.

The team also won 2/3 of the home games, hence the number of wins at home is given as follows:

2/3 x 12 = 8 games.

They won 50% of all games Monsieur le Gacy attended, hence the number of wins is given as follows:

0.5 x 20 = 10 wins.

The wins are then divided as follows:

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Answer:

Step-by-step explanation:

its 6

Answer: Goals can give you a reason to save.

Amount is paid for a tip = $1.48 that is 15% of the total cost.

Amount of money paid by the customer himself to express the gratitude.

towards the hospitality made by the certain service sector.

cost of meal = $7.24

cost of coffee = $2.65

total cost including meal and coffee = $(7.24+2.65) = $9.89

tip is given by customer 15 % of total cost

the amount of tip paid = 15/100×9.89 =$1.48

The customer paid $1.48 along with total cost $9.89.

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2x - 4y + 9 is the equation of the line in standard form.

Ax + By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y=5.

Finding both intercepts of an equation in this format is fairly simple (x and y). When resolving systems of two linear equations, this form is also really helpful.

Lets write the equation of the line in standard form:

4y=2x+9

We know that standard form =  Ax + By=C

⇒ 4y = 2x + 9

⇒ 2x - 4y + 9

Here,

Ax = 2x

By = -4x

C = 9

Thus, 2x - 4y + 9 is the equation of the line in standard form.

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