A big pitcher holds 2 quarts of lemonade.
How many 6 ounce servings can you get from that?

The area of rectangle B is 64,896 square meters.

What is rectangle?

A rectangle is a geometric shape that has four sides and four right angles (90 degrees) with opposite sides being parallel and equal in length.

To find the area of rectangle B, we need to first determine the dimensions of the rectangle after it has been scaled up from rectangle A using a scale factor of 52.

To do this, we can multiply the length and width of rectangle A by the scale factor of 52:

Length of rectangle B = Length of rectangle A x Scale factor = 6m x 52 = 312m

Width of rectangle B = Width of rectangle A x Scale factor = 4m x 52 = 208m

Now that we know the dimensions of rectangle B, we can find its area by using the formula:

Area of rectangle B = Length x Width

Area of rectangle B = 312m x 208m

Area of rectangle B = 64,896 square meters

Therefore, the area of rectangle B is 64,896 square meters.

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Answer:

13m

Step-by-step explanation:

Circumference = 2×3.14.R = 40.82 => R = 40.82÷(2×3.14) = 6.5m

d = 2R = 2×6.5 = 13m

The fraction that has been given illustrates that the person who ran further is Lisa and Jane.

Your information isn't complete. Therefore, an overview of the fraction will given.

Let's assume that Lisa ran 1/2 of a mile and Jane ran 3/6 of a mile. In order to know who ran more, you can convert the fraction to percentage.

This will be

[tex]\text{Lisa} = \dfrac{1}{2} \times 100 = \bold{50\%}[/tex]

[tex]\text{Jane} = \dfrac{3}{6} \times 100 = \bold{50\%}[/tex]

Therefore, both Lisa and Jane ran more.

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Answer: 3:7

Step-by-step explanation: since the simplest form of the fraction 36/84 is 3/7 that means 36:84 in simplest form is 3:7.

Answer:

32 I hope this helps please make me a brianlist that would help :)

a. i. The function f(x)/g(x) = (2x - 1)/√(3x - 5)

ii.  The domain is x > 5/3

b. i. The function f(x) - g(x) = (2x - 1) - √(3x - 5)

ii.  The domain is x > 5/3

A function is a mathematical relation ship between two variables.

Since we have the functions f and g defined as follows

f(x) = 2x-1

g(x) = √3x-5

a. i To find f/g we note that

(f/g)(x) = f(x)/g(x)

So, substituting the values of the variables into the equation, we have that

f(x)/g(x) = (2x - 1)/√(3x - 5)

ii. The domain of f(x)/g(x) = (2x - 1)/√(3x - 5) is the value for which the denominator g(x) > 0.

So,g(x) > 0

⇒ √(3x - 5) > 0

⇒ 3x - 5 > 0²

⇒ 3x > 5

⇒ x > 5/3

So, the domain is x > 5/3

b. i. to find f - g, we note that

f - g = f(x) - g(x)

So, substituting the values of the variables into the equation, we have that

f(x) - g(x) = (2x - 1) - √(3x - 5)

ii. The domain of f(x) - g(x) is the value of x at which g(x) > 0

So. g(x) > 0

⇒  √(3x - 5) > 0

⇒ [√(3x - 5)]² > 0

⇒  3x - 5 > 0

⇒ 3x > 5

⇒ x > 5/3

So, the domain is x > 5/3

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Answer:

[tex]81\pi[/tex] [tex]mm^2[/tex]

Step-by-step explanation:

Let's recall the formula for the area of a circle:

[tex]A = \pi r^2[/tex]

We are given the diameter, but the formula uses the radius. Since the radius is equal to one-half of the diameter, we can find the radius by doing this:

[tex]r = \frac{1}{2}d=\\\\r=\frac{1}{2}(18)= \\\\r=9[/tex]

Now that we've found the radius is 9 mm, let's substitute the values into the formula for the area of a circle. We have:

[tex]A = \pi r^2=\\A=\pi (9^2)=\\A=\pi (81)=\\A=81\pi[/tex]

So, we've found that the exact area, in terms of pi, of either face of the coin is [tex]81\pi[/tex] [tex]mm^2[/tex].

To find the area of the coin/a circle use this equation:

(a = area, r = radius, d = diameter)

[tex]\text{a = r}^2[/tex]

So we need to do for the radius.

[tex]\text{r} = \dfrac{\text{d}}{2}[/tex]

[tex]\text{r} = \dfrac{18}{2}[/tex]

[tex]\text{r} = 9[/tex]

Then solve

[tex]\text{a = 9}^2[/tex]

[tex]\boxed{\bold{a = 81}}[/tex]

We find that P(Z > 2.46) is roughly 0.007 using a calculator or a basic normal distribution table. The probability that a bag will contain more than 20% blue jellybeans is therefore approximately 0.007 or 0.7%.

The probability of an event is the ratio of good outcomes to all other potential outcomes. The number of successful outcomes for an experiment with 'n' outcomes can be expressed using the symbol x.

Here in the question,

We can utilise the binomial distribution formula to resolve this issue. In a bag of 200 jelly beans, let X represent the proportion of blue jelly beans. Following that, X exhibits a binomial distribution with parameters of n = 200 and p = 0.15, where p is the likelihood of drawing a blue jellybean.

The formula for determining the likelihood of finding more than 20% blue jellybeans in a bag is:

P (X > 0.2 × 200) = P (X > 40)

Since n is large (200) and p is not too near to 0 or 1, we can utilise the usual approximation to the binomial distribution. We may determine the equivalent mean and standard deviation of the normal distribution by using the mean and variance of the binomial distribution:

μ = np = 200 × 0.15 = 30

σ = √ (np(1-p)) = √ (200 × 0.15 × (1-0.15)) = 4.07

Then, we can standardize the random variable X as:

Z = (X - μ) / σ

So, we have:

P(X > 40) = P((X - μ) / σ > (40 - μ) / σ)

= P(Z > (40 - 30) / 4.07)

= P(Z > 2.46)

We find that P(Z > 2.46) is roughly 0.007 using a calculator or a basic normal distribution table. The likelihood that a bag will contain more than 20% blue jellybeans is therefore approximately 0.007 or 0.7%.

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The correct option - A) conflict of interest is caused due to ABC Ad Agency has two automotive tire chains as clients.

A conflict of interest arises when a person's personal interests, such as those related to their family, friends, finances, or social standing, potentially impair their judgement, choices, or actions at work. Conflicts of interest are taken seriously enough by government organisations that they are governed.

For the given data- The ABC Ad Agency has two automotive tire chains as clients.

This, could  lead to a(n) conflict of interest.

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The probability that a randomly selected score will be between 63 and 66 is approximately 0.0718, or 7.18%.

What is mean?

In statistics, the mean is a measure of central tendency, which is a way of describing the typical or central value of a set of data. The mean is also known as the average, and it is calculated by adding up all the values in a set of data and then dividing by the number of values in the set.

To find the probability that a randomly selected score will be between 63 and 66, we need to calculate the z-scores for these values and then find the area under the normal curve between these z-scores.

The z-score for a score of 63 is:

z = (63 - 74.4) / 8.3

z = -1.37

The z-score for a score of 66 is:

z = (66 - 74.4) / 8.3

z = -1.01

We can use a standard normal distribution table or calculator to find the area under the normal curve between these z-scores.

Using a standard normal distribution table, we find that the area to the left of a z-score of -1.01 is 0.1562, and the area to the left of a z-score of -1.37 is 0.0844. To find the area between these z-scores, we subtract the area to the left of -1.37 from the area to the left of -1.01:

P(-1.37 < z < -1.01) = 0.1562 - 0.0844 = 0.0718

So the probability that a randomly selected score will be between 63 and 66 is approximately 0.0718, or 7.18%.

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The truth table is given above for (A ⋀ B) → C.

What is the logical statement?

A logical statement, also known as a proposition or a statement of fact, is a declarative sentence that is either true or false, but not both. It is a statement that can be evaluated based on the available information or evidence to determine its truth value. In other words, a logical statement is a statement that can be either true or false, but not both.

To create a truth table for the logical statement (A ⋀ B) → C, we need to consider all possible combinations of truth values for propositions A, B, and C.

There are 2 possible truth values (true or false) for each proposition, so there are 2³ = 8 possible combinations.

We can organize these combinations into a table as follows:

| A | B | C | (A ⋀ B) | (A ⋀ B) → C |

|---|---|---|---------|-------------|

| T | T | T |    T    |      T      |

| T | T | F |    T    |      F      |

| T | F | T |    F    |      T      |

| T | F | F |    F    |      T      |

| F | T | T |    F    |      T      |

| F | T | F |    F    |      T      |

| F | F | T |    F    |      T      |

| F | F | F |    F    |      T      |

In this table, the column labeled (A ⋀ B) represents the truth value of the conjunction of A and B (i.e., A AND B), and the column labeled (A ⋀ B) → C represents the truth value of the conditional statement (A ⋀ B) → C.

The symbol "T" represents "true" and the symbol "F" represents "false".

Hence, The truth table is given above for (A ⋀ B) → C.

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Inorder to find the average dimensions of one large box of cornflakes, we need more information such as the total volume or weight of a large carton of cornflakes. Without that information, we cannot calculate the average dimensions.

Average refers to the central value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values. The average is also known as the mean.

Volume refers to the amount of space an object occupies in three dimensions, typically measured in cubic units such as cubic meters or cubic feet. It is a physical quantity that describes the size of an object or space.

(a) Assuming the boxes are packed tightly with no empty space, the dimensions of one carton of cornflakes can be calculated by multiplying the dimensions of one box by the number of boxes in a carton. However, without knowing the dimensions of one box or the total volume of a carton, we cannot calculate this.

(b) To calculate the volume required for the truck to deliver 37 cartons of cornflakes, we need to know the volume of one carton and multiply it by the number of cartons. Without that information, we cannot calculate the required volume for the truck.

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x is 25 and the congruent angles in the kite are 25 and 155 degrees.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x.

In a kite, the two pairs of adjacent angles are congruent. Let's call the congruent angles x and y:

   x       y

 +---+   +---+

/     \ /     \

+-------+-------+

\     / \     /

 +---+   +---+

   y       x

We know that the measurements of the angles in the kite are 3x, 75, 90, and 120, so we can set up an equation based on the sum of the angles in a quadrilateral:

3x + 75 + 90 + 120 = 360

Simplifying this equation, we get:

3x + 285 = 360

Subtracting 285 from both sides, we get:

3x = 75

Dividing both sides by 3, we get:

x = 25

So x is 25. To find y, we know that the sum of x and y must be 180 (because they are congruent angles that add up to a straight line). So we can set up another equation:

x + y = 180

Substituting x = 25, we get:

25 + y = 180

Subtracting 25 from both sides, we get:

y = 155

Therefore, x is 25 and the congruent angles in the kite are 25 and 155 degrees.

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Answer:

Step-by-step explanation:

You want the initial mass, and the mass after 7 weeks, of a sample of Palladium-100 with a half-life of 4 days and a mass of 2 mg after 16 days.

The amount of Palladium-100 remaining after t days can be modeled by ...

  a(t) = (initial amount)·(1/2)^(t/(half-life period))

  a(t) = a0·(1/2)^(t/4) . . . . . . where t is in days, and a0 is the initial amount

Using this model to find a0, we have ...

  a(16) = 2 mg = a0·(1/2)^(16/4) = a0/16

  a0 = 32 mg . . . . . . multiply by 16

The initial mass of the sample is 32 mg.

The mass after 7 weeks (49 days) will be ...

  a(49) = (32 mg)·(1/2)^(49/4) ≈ 0.0065698 mg

The mass after 7 weeks is about 6.57 µg or 0.00657 mg.

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Answer:

39.96

Step-by-step explanation:

the shape is a parallelogram ao the formula is base x height

A=10.8 x 3.7

A=39.97

Answer: The best interpretation of the number -24 in the equation p = 2.75c-24 is option D: What her profit is.

The equation is in slope-intercept form, where the coefficient of c (2.75) represents the profit per cupcake and the constant term (-24) represents the fixed costs or expenses that Violet incurs regardless of how many cupcakes she sells.

In this case, the constant term of -24 represents the fixed costs such as the cost of ingredients, supplies, and other expenses that Violet incurs to make the cupcakes. This cost is subtracted from the total revenue generated by selling cupcakes to determine the profit. Therefore, the number -24 represents the fixed costs or expenses and its inclusion in the equation allows us to determine Violet's profit as a function of the number of cupcakes sold.

Step-by-step explanation:

We can estimate that there are approximately 134 glass beads in the bin.

What is probability?

Probability is a measure of the likelihood of an event occurring.

To estimate the number of glass beads in the bin, we can use the proportion of glass beads in the handful that Jasper selected.

There are 15 beads in the handful, and 4 of them are glass. So, the proportion of glass beads in the handful is:

4/15 ≈ 0.267

We can assume that the proportion of glass beads in the bin is similar to the proportion in the handful. Therefore, we can estimate the number of glass beads in the bin as

0.267 x 500 ≈ 134

Therefore, we can estimate that there are approximately 134 glass beads in the bin.

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Answer:

x=90°

Step-by-step explanation:

As in the angle, there is a box giving us info that x has to be 90°.

But to be sure that there is no mistake we have to do the following:

So we are looking at the surroundings of angle x (which is on a straight line) we see that it is a right angle and look at the angle on the same line is a right angle too.

The equation right angle=90° helps us see that because there are two right angles on a 180° line (90°+90°+180°).

Therefore the answer is:

x=90°

Let's denote the amount that state D spends on tourism as "x" million dollars. According to the given information, state C spends $1.8 million more than state D, so state C would spend "x + 1.8" million dollars on tourism.

The total amount spent by state C and state D combined is $56.8 million. So we can write the equation:

x + (x + 1.8) = 56.8

Now, we can solve this equation to find the values of x and x + 1.8, which represent the amount spent by state D and state C, respectively.

x + x + 1.8 = 56.8

2x + 1.8 = 56.8

2x = 56.8 - 1.8

2x = 55

x = 55 / 2

x = 27.5

So, state D spends $27.5 million on tourism, and state C spends $27.5 + $1.8 = $29.3 million on tourism.

Thus, the volume of composite solid made up of cone and cylinder is found as: 1099 m³.

A form with a convex surface and a round base is called a cone. We can quickly recognise a cone thanks to the following characteristics.

Given data:

Volume of composite solid = volume of cylinder + volume of cone

Volume of composite solid = πr²H + 1/3*πr²h

Put the values

Volume of composite solid = 3.14 * 5² *12  + 1/3*3.14*5²*6

Volume of composite solid =  3.14 * 25 *12  + 2*3.14*25

Volume of composite solid = 942 + 157

Volume of composite solid = 1099 m³

Thus, the volume of composite solid made up of cone and cylinder is found as: 1099 m³.

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complete question:

What is the volume of this composite solid ?

The correct answer is Jared has absolute advantage in washing the dishes.

Answer: An even function is a function that satisfies the condition:

f(-x) = f(x)

Let's check which of the given functions satisfies this condition:

f(x) = (x - 1)^2

f(-x) = (-x - 1)^2 = x^2 + 2x + 1

f(x) = (x - 1)^2

The two expressions are not equal, so f(x) is not an even function.

f(x) = 8x

f(-x) = -8x = -f(x)

f(x) = 8x

The two expressions are equal with opposite signs, so f(x) is an odd function.

f(x) = x^2 - x

f(-x) = (-x)^2 - (-x) = x^2 + x

f(x) = x^2 - x

The two expressions are not equal, so f(x) is not an even function.

f(x) = 7

f(-x) = 7 = f(x)

f(x) = 7

The two expressions are equal, so f(x) is an even function.

Therefore, the only even function among the given functions is:

f(x) = 7.

Step-by-step explanation:

Answer:

oh

Step-by-step explanation:

idrk i just searched it up

The probability of randomly picking a yellow M&M is 5/22.

There are no orange M&M's in the bag, so the probability of randomly picking an orange M&M is 0.

There are 22 M&M's in the bag in total. We can use this information to answer the following:

The probability of randomly picking a yellow M&M is 5/22.

The of randomly picking a blue or green M&M is the sum of the probabilities of picking a blue M&M and a green M&M, since these events are mutually exclusive(i.e., they cannot occur at the same time). The probability of picking a blue M&M is 8/22, and the probability of picking a green M&M is 3/22. Therefore, the probability of picking a blue or green M&M is (8/22) + (3/22) = 11/22.

There are no orange M&M's in the bag, so the probability of randomly picking an orange M&M is 0.

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Answer:

x < 11    &   x < 12

Step-by-step explanation:

x - 3 < 8 and 6x < 72

x < 11    &   x < 12

Answer:

To solve the equation 2x + 6/5 = -1(x - 11), we can use the distributive property of multiplication over addition/subtraction to simplify the right-hand side of the equation:

2x + 6/5 = -x + 11

Next, we can rearrange the terms so that all the x terms are on one side of he equation and all the constant terms are on the other side:

2x + x = 11 - 6/5

Combining like terms and simplifying the right-hand side, we get:

3x = 49/5

Dividing both sides by 3, we get:

x = 49/15

Therefore, the value of x in the equation 2x + 6/5 = -1(x - 11) is 49/15.

the system of equations is: [tex]300x + 450y = 6000[/tex]

[tex]y = x + 5[/tex]

Let's define the variables:

Let "x" be the number of cans of soup purchased by Samuel.

Let "y" be the number of frozen dinners purchased by Samuel.

According to the given information, each can of soup has 300 mg of sodium and each frozen dinner has 450 mg of sodium. Samuel purchased 5 more frozen dinners than cans of soup, so we can write the following equations:

The total sodium from cans of soup: 300x mg

The total sodium from frozen dinners: 450y mg

The total sodium from both cans of soup and frozen dinners: [tex]6000 mg[/tex]

So the first equation is:

[tex]300x + 450y = 6000[/tex]  (since the total sodium from cans of soup and frozen dinners is 6000 mg)

Since Samuel purchased 5 more frozen dinners than cans of soup, we can write the second equation:

[tex]y = x + 5[/tex] (since y is 5 more than x)

Therefore,  the system of equations is:

[tex]300x + 450y = 6000[/tex]

[tex]y = x + 5[/tex]

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The original cost of a pair of gloves is 3.9