Team People on Each Team A 7 B 3 C 7 D 5 E 6 F 7 G 8 H 5 I 3 J 5 K 7 Think about a line plot using the data from the table. Which statement is true?

Think about a line plot using the data from the table. Which statement is true?

A. The greatest value with a dot above it is 11.

B. There will be 11 dots in total.

C. There will be 4 more dots above 7 than above 8.

D. There will be 5 dots above 7.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

The value of angle LAF in the intersecting chords is determined as  104⁰.

The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

m∠LAF = ¹/₂ (arc LF + arc YS)

From the diagram, we have arc LF = 160⁰ and YS = 48⁰

m∠LAF = ¹/₂ (160 + 48)

m∠LAF = 104⁰

Thus, the value of angle LAF is calculated by applying intersecting chord theorem.

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\(2x^{6}\) is the Simplify of the expression   2x² x x³

\(2x^{2} xx^{3} = 2x^{6}\)

what is simplify?

To simplify means to make anything basic or simpler, for example. a: to reduce to the bare minimum. b: to become simpler or broader in scope: It was advised to streamline management processes.

The fundamental guidelines and procedures to simplify any algebraic statement are as follows:

When you describe a complex mathematical idea to a child in words they can easily understand, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.

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Dum white animal ew stop

Answer:

240a+373c=2906

Step-by-step explanation:

240 times 9

373 times 2

add together

Answer:

The measure of angle ABC is;

Explanation:

Given the triangle ABC.

Recall that the sum of angles in a triangle is 180 degrees;

solving for x, we have;

From the diagram,

Therefore, the measure of angle ABC is;

Answer: The the fossil is approximately 8,267 years old.

Step-by-step explanation: To solve this problem, we can use the formula for exponential decay:

N(t) = N₀ * (1/2)^(t/T)

where:

N(t) = the amount of carbon-14 remaining after time t

N₀ = the initial amount of carbon-14

T = the half-life of carbon-14

Let's assume that the fossilized leaf originally contained 100% of its normal amount of carbon-14. Since it now contains only 33% of its normal amount, we can say that:

N(t) = 0.33N₀

Substituting this into the formula above, we get:

0.33N₀ = N₀ * (1/2)^(t/5600)

Dividing both sides by N₀ and taking the logarithm base 2 of both sides, we get:

t/5600 = log₂(0.33)

t = 5600 * log₂(0.33)

t ≈ -14187 years

This result is negative, which doesn't make sense in the context of the problem. It means that the fossil must be older than our initial assumption of 100% carbon-14. Let's assume instead that the fossil originally contained 50% of its normal amount of carbon-14 (which is more realistic). Then, we can say that:

N(t) = 0.5N₀

Substituting this into the formula above, we get:

0.5N₀ = N₀ * (1/2)^(t/5600)

Dividing both sides by N₀ and taking the logarithm base 2 of both sides, we get:

t/5600 = log₂(0.5)

t = 5600 * log₂(0.5)

t ≈ 8267 years

Therefore, the fossil is approximately 8267 years old.

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

14)The sum of the tangent and the sine of the angle is obtained as 1.21.

15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.

16)The angle opposite the largest side is  130°.

The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the  trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.

14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;

a = √2^2 + 3^2

a = √ 4 + 9

a = 3.6

We know that;

tan θ = 2/3 = 0.66

sin θ = 2/3.6 = 0.55

Then;

tan θ + sin θ

0.66 + 0.55

= 1.21

We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.

15)

The area of the segment is obtained as;

Area of the triangle;

1/2r^2 sinθ

r= radius of the circle

θ = angle of inclination

1/2 * (10)^2 * sin 60

= 43.3

Area of the sector;

60/360 * 3.142 * (10)^2

= 52.3

Therefore the area of the triangle is;

43.3 +  52.3 = 95.6 m

b)The perimeter of the segment;

(2πr * θ/360) + 2rsin(θ/2)

(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))

1.047 + 10

= 11.047 m

16)

Using;

c^2 = a^2 + b^2 - 2abcos C

20^2 = 13^2 + 9^2 - 2(13 * 9) cos C

400 = 250 - 234cosC

400 - 250 = - 234cosC

150 =  - 234cosC

Cos C = -(150/234)

C = Cos-1-(150/234)

C = 130°

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The value of z is 8633/137 or 63.01, approximately.

\(\frac{x}{y} =\frac{z}{100}\)

\(\frac{x}{y}*100 =\frac{z}{100}*100\\ \\100\frac{x}{y} =z\\ \\z=100\frac{x}{y}\)

\(z=100\frac{(86.33)}{(137)}\\ \\z=\frac{8633}{137}=63.01\)

If the calculated value of "z" is correct, then the original equation should return the same value on both sides of the equal symbol (=) when substiting all the variables by their respective value.

\(\frac{86.33}{137} =\frac{\frac{8633}{137}}{100}\\ \\0.63=0.63\)

That's correct!

Hence, the value of z is 8633/137 or 63.01.

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Answer:

46 hours and 5 minutes she worked

Answer is 15.60

we can say 4h and 15 min is 4.15

4.15 + 5.00 + 6.45 =

15.60

so the answer would be B

please mark me as a brainliest:)

A function modeling the volume of the box can be found, and the values of x for which the volume is greater than 230 in2 are x = [-2.636, 2.636]. The largest volume is 480 in2, which is achieved when x = 5.

A function that models the volume V of the box can be found by subtracting four \(x2\)from both the length and the width, and then multiplying the result to get the volume:

V = \((12 - 4x2)(20 - 4x2)\)

To find the values of x for which the volume is greater than 230 in2, we can solve the equation

V = \((12 - 4x2)(20 - 4x2) = 230\) for x.

This gives x values of ±2.636

Thus, the values of x for which the volume is greater than 230 in2 are x = [\(-2.636, 2.636\)].

The largest volume that such a box can have is 480 in2, which is obtained when x is equal to the length or width divided by two. This occurs when x = 10/2 = 5. Thus, the largest volume that such a box can have is 480 in2.

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The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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Answers:

====================================================

Explanation:

Part A

By definition, a trapezoid has exactly one pair of parallel sides. The other opposite sides aren't parallel. In this case, we'd need to prove that PQ is parallel to RS by seeing if the slopes are the same or not. Parallel lines have equal slopes.

------------------------

Part B

The midsegment has both endpoints as the midpoints of the non-parallel sides.

The midpoint of segment PS is found by adding the corresponding coordinates and dividing by 2.

x coord = (x1+x2)/2 = (-4+(-2))/2 = -6/2 = -3

y coord = (y1+y2)/2 = (-1+(-4))/2 = -5/2

The midpoint of segment PS is (-3, -5/2)

Repeat those steps to find the midpoint of QR

x coord = (x1+x2)/2 = (-2+1)/2 = -1/2

y coord = (x1+x2)/2 = (3+2)/2 = 5/2

The midpoint of QR is (-1/2, 5/2)

Join these midpoints up to form the midsegment. The midsegment is parallel to PQ and RS.

Answer:

square root of 37

Step-by-step explanation:

Answer:

B) in the modern art section of an art museum

Step-by-step explanation:

Hope it helps! =D

The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

From the question, we have the following parametes that can be used in our computation:

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

The function that represents exponential decay is f(x) = 1(2)ˣ.

Exponential decay describes the process of reducing an amount at a consistence rate.

The general exponential decay formula is given as;

\(y = ab^x\)

From the given options, we can conclude that the option that corresponds to the above general equation is option A.

\(y = ab^x\\\\f(x) = 1(2)^x\\\\y = f(x)\\\\a = 1\\\\b = 2\\\\\)

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A circle has rotational symmetry, and  it in such a way that it looks different from its original position by rotating it with an angle that is not a multiple of 360 degrees.

A circle in such a way that it looks different. This is possible because a circle has rotational symmetry, meaning it looks the same from every angle of rotation around its center.

To make it look different, rotate the circle by any angle other than a multiple of 360 degrees (or 2π radians). For example, if you rotate the circle by 90 degrees, 180 degrees, 270 degrees, etc., it will still look the same as the original circle. However, if you rotate the circle by any other angle, it will change its appearance and look different from the original position.

For instance, consider rotating the circle by 45 degrees. After this rotation, the circle will appear rotated and look different from its initial orientation. The same applies to any non-multiple of 360 degrees rotation.

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\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

The two spheres aren't congruent as B. no, because they have a different radius length

If two figures have the same shape but different sizes, they are similar. In particular, similar figures' similar lengths are proportional.

In geometry, two shapes or objects are said to be congruent if they have the same dimensions, or if one is the mirror image of the other. Congruent in geometry refers to being the same size and shape. Congruence can be used with figures, angles, and line segments.

Note that the complete information wasn't found but the correct option is B based on searches made.

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Answer:

no, because they have a different radius length

Step-by-step explanation:

we can only assume that 12 in and 7 in are the radius or diameter of the 2 spheres.

but it seems clear that whatever these 2 numbers really mean, they are some form of size information about the spheres.

and because they are different, that means that the sizes of the 2 spheres are different.

and therefore, they are not congruent.

congruent means that both compared objects would have to have to same form/shape, angles and overall size.

in other words, they are congruent, if you could place them really "on top of each other" (like holograms), and there would be no part anywhere of one object extruding from the other.

therefore, the first answer option does not make any sense at all. if the spheres would have the same diameter length, they would be congruent.

the third answer option does not make any scientific sense. we don't need to rely on the "looks", when we have precise measurement. and they tell us, that a complete "coverage" of each other of both spheres is not possible.

the fourth answer option is also nonsense, as with different size indicators (like radius or diameter lengths) they simply cannot have the same volume.

Step-by-step Explanation:

Each suits contains 3 face cards (king, queen and jack). Since there are four suits in a deck of cards, this means that there are 12 face cards in a deck. But since there 52 cards in a deck, that means the face cards make up 12/52 × 100% = 23.1% of the deck.

The table represents an exponential function given by:

\(f(x) = 24*(1/2)^x\)

Here we have the table:

x    f(x)

0    24

1      12

2      6

3       3

First, notice that for each unit that x increases, the value of f(x) decreases by its half.

This is clearly an exponential equation, whose base must be equal to (1/2).

And because when x = 0, f(0) = 24, we know that the initial value of the function is 24.

Then the exponential function is:

\(f(x) = 24*(1/2)^x\)

Such that:

\(f(0) = 24*(1/2)^0 = 24\\\\f(1) = 24*(1/2)^1 = 12\\\\f(2) = 24*(1/2)^2 = 24*(1/4) = 6\\\\f(3) = 24*(1/2)^3 = 24*(1/8) = 3\)

Concluding, the table represents an exponential function.

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Employee: "Great! I make $12.00 per hour now, and that extra 10% would put me at $13. 20 per hour."

The supervisor says that should an employee work the late shift, they would be paid 10% more than they are paid now.

This increase in the wage rate is:

= Current wage rate x Increase for late shift

= 12 x 10 %

= $1. 20

The new wage rate for the employee would therefore be:

= Wage rate per hour + Extra if late shift is worked

= 12 + 1. 20

= $13. 20

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Answer:

42

Step-by-step explanation:

3×14=42

7×6=42

42÷2=21

Please correct me if I'm wrong:)

An even  2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10 is, 42

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

An even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10.

Now, Let 2 - digit even number between 40 and 90 are,

⇒ 42, 44, 46, 68, 50, 52, ... 88

Clearly, The number 42 is an even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10.

Thus, An even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10 is, 42.

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Answer:

Step-by-step explanation:

No explanation is needed because there is no question.

Answer:

you got it

Step-by-step explanation:

no explanation needed

The perimeter of the triangle is 30 units

The vertices are (−7,−1), (5,−1), and (5,4).

Start by calculating the distance between the vertices using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2\)

So, we have:

\(d1 = \sqrt{(-1 + 1)^2 + (5 + 7)^2\)

d1 = 12

\(d2 = \sqrt{(-1 - 4)^2 + (5 - 5)^2\)

d2 =5

\(d3 = \sqrt{(-1 - 4)^2 + (-7 - 5)^2\)

d3 = 13

The perimeter is then calculated as:

P = d1 + d2 + d3

This gives

P = 12 + 5 + 13

Evaluate

P = 30

Hence, the perimeter of the triangle is 30 units

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Check the picture below.