Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 171717 to 666 points. In the last 444 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.

Write an inequality to determine the number of points per inning, ppp, Kim's team could have scored.

The expected value for each set of 50 items that Sammi sells is $1.82.

The expected value can be calculated by multiplying the profit from each successful sale by the probability of making that sale, and then subtracting the expected cost of each defective item.

Expected value = (Profit from each successful sale * Probability of making that sale) - (Expected cost of each defective item)

Let's assume that Sammi plans to sell 50 items. So, the probability of a successful sale is 49/50 = 0.98. The expected cost of each defective item is $7.

Expected value = ($2 * 0.98) - ($7 * 1/50) = $1.96 - $0.14 = $1.82

So, the expected value for each set of 50 items that Sammi sells is $1.82.

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Using Trigonometric identity and where the above is give, note that  the exact value of sin(x - y) is 0.

To find the exact value   of sin(x - y), we can use the trigonometric identity -

sin(x - y) = sin (x )cos ( y) - cos  (x ) sin(y )

Given that cos (x) = √ (6) /4 and cos(y) = √(2)/4,we can substitute these values into   the identity -

sin(x - y) =sin(x)  cos(y) - cos( x)sin(y)

       =   (√(6)/  4)(  √(2)/4) -(√( 6)/4)(√ (2)/4)

To simplify, we can multiply the numerators together and the denominators together  -

 sin(x - y) =(√(6)√(2))/( 4*  4) - (√(6)√(2))  /(4*4)

           = (√(6)√(2)  )/ (16) - (√(6)√(2))/ (16)

Combining the terms   we have

sin(x - y) =2(√(6)√(2))  /( 16)   - 2(√(6)√(2))/(16)

           = 0

Therefore, the exact value of sin(x - y) is 0.

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Answer: 5 cm

Step-by-step explanation:

since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number

30 x 2 = 60

area/base = height

60/12 = 5

When the significant figures are being calculated, the last digit of the result is always uncertain. If there are no remaining digits, it is significant. When multiplication or division is performed, the calculation's outcome is limited to the number of significant figures present in the number with the fewest significant figures.

To know how many significant figures are in the following calculation, (2.461 × 4.215) - 5.122, we need to follow the following steps;2.461 × 4.215 = 10.386915 (multiply first)10.386915 - 5.122 = 5.264915 (subtract next)To determine the final number of significant figures in the result, use the number with the least significant figures. So, 5.122 has the least number of significant figures, which is four (4), so the result is limited to four (4) significant figures. Therefore, the number of significant figures is four (4).This calculation has three (3) significant figures that are reliable. The trailing zeros to the right of the decimal place do not provide any additional information. So, the answer is:There are four (4) significant figures resulting from the given calculation.

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Answer:42/5.

21*8=168

4*5=20

168 divided by 20 is 8.4 which is 42/5

Answer:

There is a possibility of births and deaths. This also, informs us of a larger population.

Step-by-step explanation:

This is because there are 333% more rabbits without a tag than with one. This giving us the possibility shown above!

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Answer:  560 total rabbits

Step-by-step explanation:

Your assumptions are great but you can also add the assumption that the ratio of the rabbits caught on Monday is the same ratio of the rabbits caught on Tuesday.

\(\text{Tuesday:}\quad \dfrac{15\ tags}{70\ rabbits}=\dfrac{3\ tags}{14\ rabbits}\ \leftarrow simplified\)

Assumption:

3/14 of the total rabbits on the farm = 120 tagged on Monday

Let r represent the total rabbits on the farm

then (3/14)r = 120

                r = 120(14/3)

                r = 560

Answer:

m∠1 = 112°

Step-by-step explanation:

First, draw a line in the middle of the kite to split it into two isosceles triangles. See the image below for reference.

Because they're isosceles, that means the base angle are congruent. So:

180 = 46 + x + x

180 = 46 + 2x

134 = 2x

x = 67

90 + y + y = 180

90 + 2y = 180

2y = 90

y = 45

x + y = m∠1

67 + 45 = m∠1

m∠1 = 112°

1. Exponent:- An exponent is a mathematical term that refers to the number of times a number is multiplied by itself. Here are two examples of exponents:  (a)4² = 4 * 4 = 16. (b)3³ = 3 * 3 * 3 = 27.

2. Exponential functions: Exponential functions are functions in which the input variable appears as an exponent. In general, an exponential function has the form y = a^x, where a is a positive number and x is a real number. The graph of an exponential function is a curve that rises or falls steeply, depending on the value of a. Exponential functions are commonly used to model phenomena that grow or decay over time, such as population growth, radioactive decay, and compound interest.

3. Solving exponential functions 33 + 35 + 34 = 3^3 + 3^5 + 3^4= 27 + 243 + 81 = 351. 52 / 56 = 5^2 / 5^6= 1 / 5^4= 1 / 6254.

4. A logarithm is the inverse operation of exponentiation. It is a mathematical function that tells you what exponent is needed to produce a given number. For example, the logarithm of 1000 to the base 10 is 3, because 10³ = 1000.5.

5. Difference between logarithmic and trigonometric functionsThe logarithmic function is used to calculate logarithms, whereas the trigonometric function is used to calculate the relationship between angles and sides in a triangle. Logarithmic functions have a domain of positive real numbers, whereas trigonometric functions have a domain of all real numbers.

6. Characteristics of periodic functionsPeriodic functions are functions that repeat themselves over and over again. They have a specific period, which is the length of one complete cycle of the function. The following are some characteristics of periodic functions: They have a specific period. They are symmetric about the axis of the period.They can be represented by a sine or cosine function.

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Answer:

2,750+170d

Step-by-step explanation:

Calculation to Enter and simplify an expression for the amount in dollars that the company is paid

First step

Let d represent numbers of day

15(100+3d)

Second step is the Expression for the food booths

25(50+5d)

Third step is Expression for the game booths

15(100+3d)+25(50+5d)

Fourth step is the Expression for both game and food booths

15*100+15*3d+25*50+25*5d

=1,500+45d+1,250+125d

Fifth step is to make use of distributive Property

1,500+1,250+45d+125d

Last step is to make use of cumulative property

(1,500+1,250)+(45d+125d)

=2,750+170d (combine like terms)

Therefore expression for the amount in dollars that the company is paid is 2,750+170d

Answer:

f( -2) = 11

g(5) = - 18

Step-by-step explanation:

We're given a function "f" such that when it accepts a variable x, it's output, f(x), is:

\( \boxed{ \mathsf{f(x) = - 2 {x}^{3} - 5}}\)

The value of f(x) depends upon what value of x is being inserted.

If x = -2

All the places taken by x will be given to -2

\( \implies \mathsf{f( - 2) = - 2( { - 2}^{3} )- 5 }\)

(-2)³ is the cube of (-2) with -8 as it's result

\( \implies \mathsf{f( - 2) = - 2( { - 8}^{} )- 5 }\)

when there's no operating sign between two numbers from different origin, they're multiplied

\( \implies \mathsf{f( - 2) = 16 - 5 }\)

\( \implies \mathsf{f( - 2) = 11 }\)

That gives us the value of f(-2) :

11

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

Here's another function, "g", taking x as input and giving us an output g(x), such that:

\( \boxed{ \mathsf{g(x) = - 4x + 2}}\)

If x = 5

All the positions taken by x will be given to 5:

\( \implies \mathsf{g(5) = - 4(5) + 2}\)

no sign between two numbers from different origin results in their product.

\( \implies \mathsf{g(5) = - 20+ 2}\)

\( \implies \mathsf{g(5) = - 18}\)

Thus, the value of g(5) is:

-18

Answer:

see explanation

Step-by-step explanation:

The restriction a ≠ 0 and b ≠ 0 is applied since division by zero would make

\(\frac{a}{b}\) and its reciprocal \(\frac{b}{a}\) undefined, thus meaningless

These cards can be sorted into three pairs, where each pair adds to the same number. The number is -5. The correct option is C.

An integer is a whole number that can be positive, negative, or zero and is not a fraction.

The addition of these following three pairs is given as follows:

-5 + 0 = -5.

-3 - 2 = -5.

-8 + 3 = -5.

Hence, we got three pairs of values from these cards, all cards are used, and all the additions result in -5, hence, this number is -5.

The addition of integers used in this problem is as follows: Two negatives: keep the signal and add the numbers, hence -3 - 2 = -5. Positive and negative: signal of bigger absolute value, find the difference, hence: -8 + 3 = -(8 - 3) = -5.

Therefore, the correct option is C. -5.

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I think it's 28 units²

The appropriate conclusion for the given critical value and test statistic is reject the null hypothesis so that the3 correct answer is option (A)

To determine the appropriate conclusion for a hypothesis test, we compare the test statistic to the critical value. In this case, we are given a right-tailed hypothesis test with a critical value of 2.87 and a test statistic of 387.

Step 1: Identify the critical value and test statistic
Critical value = 2.87
Test statistic = 387

Step 2: Determine the type of hypothesis test
Since it is a right-tailed hypothesis test, we will compare the test statistic to the critical value on the right tail of the distribution.

Step 3: Compare the test statistic to the critical value
The test statistic (387) is greater than the critical value (2.87). In a right-tailed hypothesis test, when the test statistic is greater than the critical value, we reject the null hypothesis.

Therefore, the appropriate conclusion is to reject the null hypothesis (option A).

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Step-by-step explanation:

Is this some typing error? Please retype your question for assistance

Responsible financial plan will take into consideration both short term and long term goals.

Given,

A financial plan is to be made.

A financial plan protects you from life's surprises. A Personal financial plan reduces doubt or uncertainty about your decisions and make adjustments to help overcome obstacles that could alter your lifestyle.

Now,

To make a better financial plan one should consider his/her short term as well long term goals.

Short term goals:

Short term goals include the goals that are needed to be achieved in the time frame 2-4 years.

For example,

One has to buy a car in the coming 3 years than this type of goals are considered short term and financial plan is to be made according to the price of car that is to be paid after 3 years while buying a car.

Long term goals:

Long term goals include the goals that are needed to be achieved in the time frame 10-12 years.

For example,

Retirement can be considered as long term plan for which one has to save a big amount of corpus so that after retirement his/her expenses will be well taken care off.

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Answer:

\(5^{2}\)(7) = 175

Step-by-step explanation:

hope this helps! just follow the order of operations. :)

Based on the Theory of Constraints and using the highest profit per pound of clay (or limited resource), the number of each product to make is as follows:

Limited resources refer to the scarcity in the availability of production resources.

When there are constraints resulting from limited resources, production decision is rationalized to ensure that the highest profit or contribution per the limited resource, is obtained.

                                                   Plates      Bowls

Maximum units                               9              6

Pounds of clay for each                 4               6

Selling price per unit                  $30         $40

Selling price per pound of clay $7.50     $6.67 ($40/6)

Limited resource = 48 pounds of clay

To maximize profits with limited resources:

The number of plates to make = 9 with 36 pounds of clay

The number of bowls to make = 2 with 12 pounds of clay

Thus, using the selling price per pound of clay, the producer should produce 9 plates and 2 bowls.

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The graph of the piece-wise function for this problem is given by the image presented at the end of the answer.

A piece-wise function is a function that has different definitions, depending on the input of the function.

The two definitions for the function in this problem are given as follows:

Both of the lines will meet at the y-intercept of y = 1, as shown in the image presented at the end of the answer.

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Answer: The first one

Step-by-step explanation:

On a coordinate plane, a piecewise function has 2 connecting lines. The first line goes from (4, 5) down to (0, 1). The second line goes from (0, 1) up through (4, 5).  

Basically it should look like a wide V staring at point 1 on the y axis facing upwards.

Answer:

We do not consider 21 as a prime number, because it can be written as a product of two smaller natural numbers

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Let's say that r is the radius of the large circle or the diameter of the small circle.

Area of the big circle is \(\pi r^{2}\) .

Area of the small circle is \(\pi \frac{r}{2} ^{2} = \pi \frac{r^{2}}{4}\).

The ratio of these 2 circles is 1/4 (calculation in the comments).

So the shaded part represent 1 - 1/4 = 3/4.

To find the permutation that makes a matrix A upper or lower triangular, we use the process of Gaussian elimination to swap rows and columns until the resulting matrix is triangular.

To find such a permutation matrix P, we can use the process of Gaussian elimination. We start by considering the first column of A. If the entry A_{1,1} is already nonzero, we leave the first row unchanged.

This can be achieved by multiplying the matrix PA (which has the first row already sorted) on the left by a permutation matrix P2 that swaps the second row with the row that has the first nonzero entry in the second column below the second row.

We repeat this process for each subsequent column until we have an upper triangular matrix. The product of the permutation matrices P1, P2, ..., Pn-1 that we used to swap rows is the permutation matrix P that makes PA upper triangular.

Similarly, if there exists a permutation matrix P1 that rearranges the rows of A such that P1A is lower triangular, and a permutation matrix P2 that rearranges the columns of P1A such that P1AP2 is lower triangular, then we say that A is similar to a lower triangular matrix.

The product of the permutation matrices that we used to swap rows and columns is the desired permutation matrix.

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Complete Question:

which permutation makes PA upper triangular? which permutations make P1AP2 lower triangular?

A=(0,0,6;1,2,3;0,4,5)

Answer:

Distance between mall and library is 6.32 miles.

Step-by-step explanation:

Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).

Since, distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

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

By this formula,

Distance between (2, 4) and (8, 4) will be,

Distance = \(\sqrt{(8-2)^2+(2-4)^2}\)

               = \(\sqrt{36+4}\)

               =  \(\sqrt{40}\)

               = 6.32 miles

Faith's balance on January 1, 2022, would be €3,038.19.

First, we need to calculate the interest earned on the deposit. We can use the formula:

Interest = Principal x Rate

where Principal is the initial deposit amount and Rate is the annual interest rate.

So, for Faith's deposit of €3,000 and an interest rate of 1.9%, the interest earned in one year would be:

Interest = €3,000 x 0.019 = €57

Next, we need to apply the DIRT tax. The tax rate is 33%, so the tax amount is:

Tax = Interest x 0.33 = €18.81

Therefore, the balance on Faith's account on January 1, 2022, would be:

Balance = €3,000 + €57 - €18.81 = €3,038.19

So Faith's balance on January 1, 2022, would be €3,038.19.

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Answer: nope u get it

Step-by-step explanation:

∠ABC = ∠ADC

Here, we want to state an additional piece of information that would make triangle BAC and DAC confgruent by SAS

When we say they both are congruent by SAS, we mean they are congruent by side, angle and side.

From the diagram of the question, we already have two marked sides, with oe on either triangle. We also have the side C being a part of both triangles. So what we need now is the angle that will complete the SAS notation.

The angle in this case is ∠ABC = ∠ADC

A representative sample is one that accurately depicts the a population> This representative sample can be determined through sampling. The examples of sampling methods used are random sampling, stratified random sampling