mr. carl burl, an artist, has recorded the number of visitors who visited his exhibit in the first 8 hours of opening day. he has made a scatter plot to depict the relationship between the number of hours and the number of visitors.

Answer:

Step-by-step explanation:

2,4

Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

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Step-by-step explanation:

Answer:

6 ≤x<∞

Step-by-step explanation:

The inside of the square root must be greater than or equal to zero

x-6≥0

x-6+6≥0+6

x≥6

6 ≤x<∞

The 101st term for the sequence is -2400.

Sequences are ordered lists of numbers that follow a certain pattern or rule. To find the 101st term of the sequence an=12 (n-1)*-2, we first need to understand the formula.

In this formula, n represents the position of a term in the sequence, and an is the value of that term. To find the value of the 101st term, we can substitute n=101 into the formula and simplify.

Step 1: Plug in n=101 into the equation:
a101=12 (101-1)*-2

Step 2: Simplify the equation:
a101=12 (100)*-2

Step 3: Multiply 12 and 100:
a101=1200*-2

Step 4: Multiply 1200 and -2:
a101=-2400

Therefore, the 101st term for the sequence is -2400.

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Answer:

Step-by-step explanation:

Answer:

The correct answer is letter C

Step-by-step explanation:

Answer:

1st pic is y=2x, 2nd pic is y=2x-4

Step-by-step explanation:

2 is the slope. with the slope. if 2 wasnt simplified, it'd be 2/1. with this, you go up 2 and to the side one (left if negative, right if positive). for the -4, you graph it on the -4 and just do it again.

Answer:

3x-2 = 7

After that, -2 go in right side like given below:

3x = 7+2

3x = 9

x = 9/3

x = 3.

Answer:

Explanation:

Given the equation of the line as;

We can express y in terms of x by subtracting x from both sides of the equation;

Let the point on the line be P(x, y)

We'll use the below distance formula to determine the distance between point P(x, y) to the given point (6, 8) as seen below;

Answer:

hii

Step-by-step explanation:

=25

Answer:

25

Step-by-step explanation:

(6^2 + 4) - 15

(36 + 4) -15

40 - 15

25

Hope this helps!

The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a product of primes. Using strong induction, we can prove this.

Let's proceed with the strong induction proof. We start by considering the base case, where m = 2. Since 2 is prime, it can be written as a product of primes itself.

Next, we assume that for all natural numbers k such that 2 ≤ k ≤ m, the statement holds true, i.e., k can be expressed as a product of primes. Now, we aim to prove that m+1 can also be expressed as a product of primes.

We know that m+1 is either prime itself or composite. If m+1 is prime, then it can be written as a product of a single prime, satisfying the theorem.

On the other hand, if m+1 is composite, it can be written as a product of two positive integers a and b, where 2 ≤ a ≤ b ≤ m. Since a and b are both less than or equal to m, we can apply the inductive hypothesis to express a and b as products of primes. Therefore, we can write m+1 as a product of primes by combining the prime factorizations of a and b.

By strong induction, we have shown that for any natural number m greater than 1, it can be expressed as a product of primes. This completes the proof of the fundamental theorem of arithmetic.

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Answer:

United States medals to Soviet Union medals:

Fraction: 1211/1010

Decimal: 1.198

Percent: 119.8%

Soviet Union medals to Great Britain medals:

Fraction: 1010/867

Decimal: 1.165

Percent: 116.5%

United States medals to Great Britain medals:

Fraction: 1211/867

Decimal: 1.397

Percent: 139.7%

The number of countries that have won between 2,250 and 2,499 total medals to the number of countries that have won between 0 and 249 total medals:

Fraction: 2/1

Decimal: 2

Percent: 200%

Only one country participating in the Summer Olympics has never won a medal. Write a comparison of the number of countries that have never won a medal to the number of participating countries:

Fraction: 1/205

Decimal: 0.00488

Percent: 0.488%

Step-by-step explanation =

United States medals to Soviet Union medals:

The fraction represents the ratio of medals won by the United States to those won by the Soviet Union. To find it, you can divide the number of medals won by the United States (1,211) by the number of medals won by the Soviet Union (1,010): 1211/1010.

To convert this fraction to a decimal, divide the numerator (1211) by the denominator (1010): 1.198.

To convert the decimal to a percent, multiply it by 100: 119.8%.

Soviet Union medals to Great Britain medals:

The fraction represents the ratio of medals won by the Soviet Union to those won by Great Britain. To find it, you can divide the number of medals won by the Soviet Union (1,010) by the number of medals won by Great Britain (867): 1010/867.

To convert this fraction to a decimal, divide the numerator (1010) by the denominator (867): 1.165.

To convert the decimal to a percent, multiply it by 100: 116.5%.

United States medals to Great Britain medals:

The fraction represents the ratio of medals won by the United States to those won by Great Britain. To find it, you can divide the number of medals won by the United States (1,211) by the number of medals won by Great Britain (867): 1211/867.

To convert this fraction to a decimal, divide the numerator (1211) by the denominator (867): 1.397.

To convert the decimal to a percent, multiply it by 100: 139.7%.

The number of countries that have won between 2,250 and 2,499 total medals to the number of countries that have won between 0 and 249 total medals:

The fractions represent the ratios of the number of countries that have won between two ranges of total medals. To find these fractions, you need to count the number of countries that fall into each range, and then divide one by the other. According to the information provided, there are 2 countries that have won between 2,250 and 2,499 total medals, and 1 country that has won between 0 and 249 total medals. So the fraction is 2/1.

To convert this fraction to a decimal, divide the numerator (2) by the denominator (1): 2.

To convert the decimal to a percent, multiply it by 100: 200%.

Only one country participating in the Summer Olympics has never won a medal. Write a comparison of the number of countries that have never won a medal to the number of participating countries:

The fraction represents the ratio of the number of countries that have never won a medal to the total number of participating countries. According to the information provided, only one country has never won a medal, and there are 205 participating countries. So the fraction is 1/205.

To convert this fraction to a decimal, divide the numerator (1) by the denominator (205): 0.00488.

To convert the decimal to a percent, multiply it by 100: 0.488%.

The actors should be positioned in the original coordinate system at locations A(-5, -4), B(-2, -7), and C(1, -4).

If they move 5 units left and 4 units down from each of the original points, then the following becomes the new coordinates:

A: (-5, -4)

B: (-2, -7)

C: (1, -4)

To graph these new coordinates, draw the new coordinate plane and plot the points:

So for Scene 2, the actors should be positioned at points A(-5, -4), B(-2, -7), and C(1, -4) with respect to the original coordinate system.

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Answer:

C

Step-by-step explanation:

parallel means no matter how far you stretch it the 2 lines will never touch and these 2 lines won’t EF and CD

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The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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The line segment /AB/ would have the length of 18

A triangle with two equal sides is known as an isosceles triangle. In other words, two of the three sides of an isosceles triangle are congruent. The third side, known as the base, is usually longer than the other two sides.

In an isosceles triangle, the angles opposite the congruent sides are also congruent. These angles are referred to as the base angles, while the angle directly across from the base is referred to as the vertex angle.

We know that the base angles of the isosceles triangle are equal as such the two sides are equal in length thus;

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 3

Thus the length/AB/= 6(3) = 18

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Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

Answer:

the answer is B

Step-by-step explanation:

your welcome

Answer:

y=3x-17

Step-by-step explanation:

Answer:

0.09381663113

Step-by-step explanation:

The cost of the utility pole is approximately $1273.99 when rounded to the nearest cent.

To calculate the cost of the utility pole, we need to find its volume first. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base of the cylinder and h is its height.

Here, the diameter of the utility pole is given as 1.5 ft. We need to find the radius, which is half of the diameter, so r = 0.75 ft. The height is given as 30 ft.

Using the formula, we get:

V = πr^2h = π(0.75 ft)^2(30 ft) = 53.36 ft^3

Now, we can calculate the cost of the utility pole by multiplying its volume by the cost of wood per cubic foot, which is $23.89 per cubic foot.

Cost = 53.36 ft^3 x $23.89/ft^3 ≈ $1273.99

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Answer:

-27

5

10

-13

Step-by-step explanation:

-9*3=-27   -*+=-

-25/-5=5   -/-=+

7-(-3)=7+3=10  -(-)=+

-2+-11=-13   -+-=-

1) The relationship between ∠2 and ∠6 is that they are alternate angles.

2) The relationship between ∠1 and ∠3 is that they are corresponding angles.

Corresponding angles are defined as the angles that are formed in  corresponding corners with the transversal when two parallel lines are intersected by any other line.

Alternate angles are defined as the angles that are formed by the intersection of a transversal and two parallel lines.

This alternate angle could either be interior alternate or exterior alternate.

1) Since we are told that Line 1 is parallel to Line 2, then it means that from definition of alternate angles that ∠2 and ∠6 are alternate angles.

2) Since we are told that Line 1 is parallel to Line 2, then it means that from definition of corresponding angles that ∠1 and ∠3 are corresponding angles.

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Answer:

He worked out 45 minutes longer.

Step-by-step explanation:

Answer:

2√3

Step-by-step explanation:

Since this is a 30-60-90 triangle, we can find s by finding the short leg (bottom), then the hypotenuse (s).

To find the short leg, we can divide the long leg (which is 3mm) by sqrt 3 (also  √3, as any of them are fine), and we will have 3/√3. Since we don't want the square root on the bottom, we can multiply √3 on both sides, giving us 3√3/3, which is technically √3 because of simplifying.

Since you have the short leg now, you can find s. By finding s, you can multiply the short leg by 2, which will be √3 * 2 which is 2√3.

Answer:

a=y-k/(x-h)^2

The probability of getting at least one green card is 55/64.

Part (a)A tree diagram can help to keep track of the possibilities when drawing two cards with replacement from a deck of eight cards.

In this case, we have two events: G1 = first card is green G2 = second card is green The tree diagram for the given problem is as shown below: 5/8 G 3/8 Y 5/8 G 3/8 Y 5/8 G 3/8 Y G1 G1 Y G1 G2 G2 G2 G2

Part (b) Probability of first card being green P(G1) = 5/8 Probability of second card being green given that the first card was green P(G2|G1) = 5/8

So, P(G1 and G2) = P(G1) x P(G2|G1) = 5/8 x 5/8 = 25/64

Therefore, P(G1 and G2) = 25/64

Part (c)Probability of getting at least one green card means the probability of getting one green card and the probability of getting two green cards.

P(at least one green) = P(G1 and Y2) + P(Y1 and G2) + P(G1 and G2) P(at least one green)

= P(G1) x P(Y2) + P(Y1) x P(G2) + P(G1) x P(G2|G1) P(at least one green)

= (5/8) x (3/8) + (3/8) x (5/8) + (5/8) x (5/8)

= 15/64 + 15/64 + 25/64

= 55/64

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11.1% of porcelain tile has strength up to 185 per square inch, while 6% has strength of 206.4 per square inch.

a. To find the percent of its popular porcelain tile that will have breaking strengths at most 185 pounds per square inch, we can use the Z-score formula. The Z-score formula is Z = (x - μ) / σ. In this problem, x is 185, μ is 200, and σ is 6.2. Plugging these values into the formula, we get Z = -2.42. To find the percent of tiles that have a breaking strength of at most 185 pounds per square inch, we can use a Z-score table. Looking up -2.42 on the Z-score table, we get a probability of 0.011, or 11.1%.

Z = (x - μ) / σ.

x=185

μ =200

σ = 6.2

Z = -2.42

Hence, probability = 0.011, or 11.1%.

b. The strongest 6% of its popular porcelain tile will have a breaking strength of 206.4 pounds per square inch. To find this value, we can use the Z-score formula again. This time, we will use a positive Z-score of 1.645, which corresponds to a probability of 0.06. Plugging this value into the formula, we get,

x = μ + (Z * σ).

Thus, x = 200 + (1.645 * 6.2) = 206.4.

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Answer:

2x -y+13=0

Step-by-step explanation:

the given equation of the line is ,

\(\implies \rm y = 2x + 6 \)

as we know that the slope of parallel lines are same so the line parallel to the given line will have the same slope as the given line . Comparing it to slope intercept form of the line we have ,

\(\implies \rm m = 2 \ (slope)\)

Now we may use the point slope form of the line to find out the equation of the line as ,

\(\implies \rm y - y_1 = m(x-x_1)\\\)

\(\implies \rm y -(-5) =2\{ x -(-9)\}\\\)

\(\implies \rm y +5 = 2(x+9)\\ \)

\(\implies \rm y +5 = 2x +18\\\)

\(\implies \rm 2x -y+18-5=0\\\)

\(\implies \rm 2x - y +13=0\)

And we are done!

-Rishabh

All of the possible answers aren't quite right, but the third option—0, -4i6, 4i6—comes the closest. However, it misstates the value as -4i6 rather than -2i6.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

We can factor out 4x first in order to find the solution to the equation 4x3 + 96x = 0.

\(4x(x^2 + 24) = 0\)

There are two answers to this equation: x = 0 and x2 + 24 = 0.

The following can be used to solve the second solution:

\(x^2 + 24 = 0 x^2 = -24 x = ±√(-24) = ±2i√6\)

The three answers to the equation are therefore 0, -2i6, and 2i6.

All of the possible answers aren't quite right, but the third option—0, -4i6, 4i6—comes the closest. However, it misstates the value as -4i6 rather than -2i6.

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