Which store offers the lowest unit rate for lettuce in dollars per pound?

Answer: 24 pints

Step-by-step explanation:

16 oz = 1 pint

128 oz x 3 times = 384 oz

384 oz/ 16 oz per pint = 24 pints

The maximum distance the mouse can jump is 30.0029 ft. This means that the mouse can jump 30.0029 feet horizontally.

Given that y=−0.2222x2+1.3333x represents how high (in feet) the mouse can jump for a relatively long hop modeled, where x represents how far (in feet) the mouse can jump.

To determine how high the mouse can jump, we are given the equation of the hop as; y = −0.2222x² + 1.3333x

We will use the given equation to find out the maximum height attained by the mouse. We are given that a relatively long hop can be modeled by y=−0.2222x²+1.3333x.

Using the quadratic formula, we can determine the maximum height by evaluating the value of x using the formula;

x = -b/2a

Where a = -0.2222 and b = 1.3333x = -1.3333 / 2(-0.2222) = 30.0029 ft

We can substitute this value into the equation to determine how high the mouse can jump.

y = −0.2222(30.0029)² + 1.3333(30.0029)≈ 5.00 ft.

Therefore, the maximum height the mouse can jump is 5.00 ft.

To determine how far the mouse can jump horizontally, we need to determine the value of x that maximizes y.

We can achieve this using the formula;

x = -b/2a

Where a = -0.2222 and b = 1.3333x = -1.3333 / 2(-0.2222) = 30.0029 ft.

Therefore, the maximum distance the mouse can jump is 30.0029 ft.

This means that the mouse can jump 30.0029 feet horizontally.

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Answer:

C and D are equivalent.

Step-by-step explanation:

if you multiply 7/6 both by 2 it will =14/2 and also if you multiply 7/6 both by 10 you will get 70/60.

Answer:

20 percent

Step-by-step explanation:

There are 20 percent of the trees in the forest are the Oak trees.

The percentage of oak trees,  p , in the forest can be calculated using the following formula:

p = Number of oak  trees/ Total number of trees x  100

Given that there are 300 oak trees out of a total of 1,500 trees in the forest.

Plugging these values into the formula:

p = (300)/ (1500) x 100

   = 1/5 x 100

   = 100/5

   = 20

So, 20% of the trees in the forest are oak trees.

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Step-by-step explanation:

Between x = -5 to x = -1 the graph is positive ( > 0)   at -5 and -1 it is EQUAL to zero...so those numbers are not included

(-5,-1)    

The domain on which the graph of a function is positive involves finding the x-values for which the function's output is greater than zero. This can be visualized by identifying where on the graph the curve is situated above the x-axis.

The domain on which the graph of f(x) is positive is the set of x-values for which the y-values (the outputs of the function) are greater than zero.

So, for each point (x, y) on the graph, if y is larger than zero that means f(x) is positive. To find out where this is the case, simply look at the graph and identify where the curve lies above the x-axis. These will be the x-values that make f(x) positive.

For example, if the plot of the function is above the X-axis between interval a and b, then the domain on which f(x) is positive is the interval (a, b).

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Answer:

Wut WUt Wut oof :.

Step-by-step explanation:

The answer is 10,000

Answer:

a is the right answer you got this

Step-by-step explanation:

An account that pays 6% interest and is compounded monthly. At the end of five years, you will have approximately $6,691.13 in the account.

To calculate the amount you will have at the end of five years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal amount (initial investment)

r = annual interest rate (in decimal form)

n = number of times the interest is compounded per year

t = number of years

In this case, the principal amount (P) is $5,000, the annual interest rate (r) is 6% (or 0.06 in decimal form), the interest is compounded monthly, so the number of times compounded per year (n) is 12, and the number of years (t) is 5.

Plugging these values into the formula, we have:

A = $5,000(1 + 0.06/12)^(12*5)

Calculating the expression inside the parentheses first:

(1 + 0.06/12)^(12*5) ≈ 1.33822558

Now, substituting this value back into the formula:

A ≈ $5,000 * 1.33822558

A ≈ $6,691.13

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No, a quarter circle's negative charge is not always evenly distributed.

The shape and size of the charged object, the existence of other charged objects, and the material qualities of the object are only a few of the variables that affect charge distribution.

Therefore, the charge distribution may not be uniform if there are other charged items nearby or if the charged object is in an uneven electric field.

It relies on the particular circumstances and conditions in the instance of a charged quarter circle. For instance, the charge distribution may be homogeneous all around the quarter circle if it is isolated and has a uniform surface charge density.

Hence, no a quarter circle's negative charge is not always evenly distributed.

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(a) (f + g)(x) = 20x + 10, Domain of (f + g)(x): (-∞, +∞)

(b) (f - g)(x) = -10x - 16, Domain of (f - g)(x): (-∞, +∞)

(c) (fg)(x) = 75x^2 + 20x - 39, Domain of (fg)(x): (-∞, +∞)

(d) (f/g)(x) = (5x - 3) / (15x + 13), Domain of (f/g)(x): (-∞, -13/15) U (-13/15, +∞)

Given:

f(x) = 5x - 3 and

g(x) = 15x + 13

(a) (f + g)(x)

(f + g)(x) = ff(x) + g(x)

         = (5x - 3) + (15x + 13)

          = 20x + 10

Domain of (f + g)(x):

The domain of (f + g)(x) is the set of all real numbers since there are no restrictions on x. Therefore, the domain is (-∞, +∞)

(b) (f - g)(x)

(f - g)(x)  = f(x) - g(x)

           = (5x - 3) - (15x + 13)

           = -10x - 16

Domain of (f - g)(x): The domain of (f - g)(x) is the set of all real numbers since there are no restrictions on x. Therefore, domain is (-∞, +∞)

(c) (fg)(x)

(fg)(x) = f(x) * g(x)

     = (5x - 3) * (15x + 13)

     = 75x² + 65x - 45x - 39

     = 75x² + 20x - 39

Domain of (fg)(x): The domain of (fg)(x) is the set of all real numbers since there are no restrictions on x.

Domain: (-∞, +∞)

(d) (f/g)(x)

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

        = (5x - 3) / (15x + 13)

Domain of (f/g)(x): The domain of (f/g)(x) is the set of all real numbers except for values of x that make the denominator (15x + 13) equal to 0. To find these values, we solve the equation:

15x + 13 = 0

15x = -13

x = -13/15

Therefore, the domain of (f/g)(x) is all real numbers except x = -13/15.

Domain: (-∞, -13/15) U (-13/15, +∞)

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Answer:

40%

Step-by-step explanation:

In order to turn a fraction into a decimal or percentage, you need to make the denominator 100. In this case you just need to multiply the numerator and denominator by 20:

2/5 --> 2*20/5*20 --> 40/100

So, it is 40%. Though if you want to turn ANY fraction (specifically fractions with hard to multiply denominators) into a percentage, just follow this rule:

(100n/d)%

The 2/5 is equivalent to 40%.

To calculate what percent is equivalent to 2/5, we can use the formula:

Percent = (Part / Whole) * 100

In this case, the part is 2 and the whole is 5.

Percent = (2 / 5) * 100

Now, perform the division:

Percent = 0.4 * 100

To find the percentage, multiply 0.4 by 100:

Percent = 40%

Therefore, 2/5 is equivalent to 40%. To understand this better, consider that 2 out of 5 parts is 40% of the whole. The percentage represents the proportion of the part (2) in relation to the whole (5) expressed as a fraction of 100. In this scenario, 2/5 is equivalent to 40%, indicating that 40% of the whole is represented by the fraction 2/5.

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Center - radius equation for circle of radius r ,centered at (h,k) is :

\((x-h)^{2} + (y-k)^{2} = r^{2}\)

you have r = √21

\(r^{2} =\) (√21)^2 = 21

centre (h,k) = (0,0) so h =0 and k =0

\((x-h)^{2} + (y-k)^{2} = r^{2}\)

\((x-0)^{2} + (y -0)^2 = 21\)

\(x^{2} + y^{2} = 21\)

Answer:

y = -1/3x + 14/3

Step-by-step explanation:

We have the standard equation as;

y = mx + b

where m is the slope and b is the y-intercept

the given points are;

(-1,5) and (2,4)

So we plug x and y for each of the points

then we create two linear equations which we can solve simultaneously to get the values of m and b

From the points;

5 = -m + b•••••••(i)

4 = 2m + b

from i;

b = 5 + m

substitute this into equation ii

4 = 2m + 5 + m

4 = 3m + 5

4-5 = 3m

3m = -1

m = -1/3

Recall;

b = 5 + m

b = 5-1/3

b = 14/3

so we have the equation as;

y = -1/3x + 14/3

Multiply through by 3

3y = -x + 14

Answer: To find the unit rate that describes the number of gallons per dollar, we need to divide the number of gallons by the cost in dollars. In this case, we have:

Number of gallons = 5

Cost in dollars = $16.25

Dividing the number of gallons by the cost in dollars, we get:

Gallons per dollar = Number of gallons / Cost in dollars

= 5 / $16.25

= 0.3077...

Rounding to two decimal places, we get:

Gallons per dollar = 0.31

Therefore, the unit rate that describes the number of gallons per dollar is 0.31 gallons per dollar.

Step-by-step explanation:

Answer: Horizontal Shrink

Step-by-step explanation:

The positive value of c that makes the function f(x) = xe^(-x)ce^(-x) have an absolute minimum at x = -5 is approximately 16.05.

To find the value of c that gives an absolute minimum at x = -5, we need to analyze the behavior of the function. First, we differentiate f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -x^2e^(-2x)ce^(-x). Setting f'(x) = 0 and solving for x, we find x = 0 as a critical point.

However, we are interested in finding the value of c that results in an absolute minimum at x = -5. Plugging x = -5 into f(x), we get f(-5) = -5e^(5)c^(-5)e^(5). Since e^5 is positive, to minimize f(-5), c should be as large as possible. Taking the limit as c approaches infinity, we find that f(-5) approaches 0.

Therefore, c should be a large positive value. Calculating the exact value, we find c ≈ 16.05 gives an absolute minimum at x = -5 for the function f(x).

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Answer:which graph

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

hi

Answer:

diagram B

Step-by-step explanation:

all complementary angles have one right angle in it.

a) The null hypothesis (H0) states that the population average amount dispensed is equal to 8 ounces. The alternative hypothesis (Ha) states that the population average amount dispensed is different from 8 ounces.

b) To test the hypothesis, we can perform a one-sample t-test. The sample mean is 7.983 ounces, which is slightly below the hypothesized value of 8 ounces. We want to determine if this difference is statistically significant.

c) By conducting the one-sample t-test, we can calculate the p-value associated with the observed sample mean of 7.983 ounces. The p-value represents the probability of obtaining a sample mean as extreme as the observed value, assuming that the null hypothesis is true.

If the calculated p-value is less than the significance level (0.05 in this case), we reject the null hypothesis in favor of the alternative hypothesis, indicating evidence that the population average amount dispensed is different from 8 ounces. If the p-value is greater than the significance level, we fail to reject the null hypothesis, suggesting that there is not enough evidence to conclude that the population average is different from 8 ounces.

The interpretation of the p-value in this case is that it represents the probability of observing a sample mean of 7.983 ounces or a more extreme value, assuming that the true population mean is 8 ounces. A small p-value indicates that the observed sample mean is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, a small p-value provides evidence against the null hypothesis and suggests that the population average amount dispensed is likely different from 8 ounces.

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The length of the segment QS is 8 units and the length of the segment TV is 8 units and this can be determined by using similar triangle properties.

Given :

The following steps can be used in order to determine the length of QS and TV:

Step 1 - According to the given data, the triangle QRS is congruent to triangle TUV.

Step 2 - So, the length of the segment QS is equal to the length of the segment TV.

QS = TV

Step 3 - Substitute the values of QS and TV in the above expression.

3v + 2 = 7v - 6

7v - 3v = 6 + 2

4v = 8

v = 2

Step 4 - The length of the segment QS and TV is:

QS = 3(2) + 2 = 6 + 2

QS = 8

TV = 7(2) - 6 = 14 - 6

TV = 8

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Answer:

I would give myself a five, i am amazing either way

Step-by-step explanation:

On solving the provided, question, we have The probability distribution of x is  μ = 4.5 and P(x<μ) = 0.40951

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1.

The following details are provided in the query:

P(target) equals 0.90

Let the random variable X stand in for the number of times the arrow is fired at the target's ring.

The likelihood distribution for X is

\(x: 0 1 2 3 4 5\\P(x): 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049\)

On solving we have ,

μ = 4.5

and

P(x<μ) = 0.40951

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Answer:

A. 45 + 42p

Step-by-step explanation:

Answer:

502,655\(m{2}\)

Step-by-step explanation:

field's area to the nearest square is 1,40,000 m².

The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.

Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.

Hence, the area of the square is 640,000 m².

Therefore the remaining area of the space is 1,40,000 m².

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Answer:

15x2+10x-9x+7

8x3+20x2+3x+12

11x4+4x2-6x2-16

Step-by-step explanation:

The prime polynomials are;

⇒ 15x² + 10x – 9x + 7

⇒ 8x³ + 20x² + 3x + 12

⇒ 11x⁴ + 4x² – 6x² – 16

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

There are some polynomials.

Now,

Evaluate all options in order to check that the polynomials are prime or not as;

Since, The polynomial is called a prime polynomial if the polynomial has not lower degree factors.

1). 15x² + 10x – 9x + 7

15x² + 10x – 9x + 7 = 5x(3x + 2) - (9x - 7)

Thus, This polynomial can not be factored into lower degree polynomial. Hence, it is a prime polynomial.

2). 20x² - 12x + 30x - 18

20x² - 12x + 30x - 18 = 4x (5x - 3) + 6 (5x - 3)

                                = (4x + 6) (5x - 3)

Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). 6x³ + 14x² - 12x - 28

6x³ + 14x² - 12x - 28 = 2x² (3x + 7) - 4(3x + 7)

                               = (2x² - 4) (3x + 7)

Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). 8x³ + 20x² + 3x + 12

8x³ + 20x² + 3x + 12 = 4x² (2x + 5) + 3 (x + 4)

                                = (4x² + 3) (2x + 5)

Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). 11x⁴ + 4x² – 6x² – 16

11x⁴ + 4x² – 6x² – 16 = x² (11x² + 4) - 2 (x² + 8)

Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

Therefore, The prime polynomials are;

⇒ 15x² + 10x – 9x + 7

⇒ 8x³ + 20x² + 3x + 12

⇒ 11x⁴ + 4x² – 6x² – 16

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Answer:

Its probably 240

Step-by-step explanation:

If you divide 360 into 12 parts, you get 30 for each part, 8x30=240, so the answer is 240º I think, dont take my word for it though

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The measure of the smaller angle formed by the minute and hour hands is 120°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

A 360° rotation of the hour hand is made when a clock completed 12 hours, Therefore, the measure by which the hour hand moves in an hour is,

Movement in an hour = 360° / 12 hours = 30° per hour

Now, when it will be 8 in the clock, the minute hand will be at 12, while the hour hand will be at 8, therefore, the measure of the angle between the two will be,

Measure of the larger angle formed = 8 × 30° = 240°

A complete circle is 360°. Therefore, the measure of the smaller angle formed by the minute and hour hands is,

Mearsure = 360° - 240° = 120°

Hence, the measure of the smaller angle formed by the minute and hour hands is 120°.

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Answer:

y = 4x + 13

Step-by-step explanation:

m = 4 at point (-3,1)

y = 4x + b

1 = 4(-3) + b

1 = - 12 + b

b= 13

y = 4x + 13