PLEASE HELP WILL MARK BRAINLIEST!!!

Answer:

To find out after how many months the cost of Option A will be the same as Option B, we can set up the following equation:

11.25 * x + 120 = 18.75 * x + 60

Where x represents the number of months.

Subtracting 18.75 * x from both sides gives us:

11.25 * x - 18.75 * x = 60 - 120

Simplifying the left side of the equation gives us:

-7.5 * x = -60

Dividing both sides of the equation by -7.5 gives us:

x = 8

This means that it will take 8 months for the cost of Option A to be the same as Option B.

Using substitution, it is found that k = 2 satisfies the differential equation.

The solution is:

\(y = e^{2x} + ke^{-3x}\)

The differential equation is:

\(4y - y^{\prime\prime} = 10e^{-3x}\)

We replace y and it's derivatives in the solution, then:

\(y^{\prime}(x) = 2e^{2x} - 3ke^{-3x}\)

\(y^{\prime\prime}(x) = 4e^{2x} + 9ke^{-3x}\)

Then:

\(4y - y^{\prime\prime} = 10e^{-3x}\)

\(4(e^{2x} + ke^{-3x}) - (4e^{2x} + 9ke^{-3x}) = 10e^{-3x}\)

\(4ke^{-3x} - 9ke^{-3x} = 10e^{-3x}\)

\(-5ke^{-3x} = 10e^{-3x}\)

\(5k = -10\)

\(k = -\frac{10}{5}\)

\(k = -2\)

k = 2 satisfies the differential equation.

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Answer:

k = -2

Step-by-step explanation:

Did the work

Answer: 166 Soft Drinks

Step-by-step explanation:

250 ÷ 1.50 = 166

Answer:

c is the and

no worries thank you to each of the Fourth of that mother you have any other questions please contact me

The given problem requires performing the matrix operation of matrix multiplication. The resulting matrix will be a 1x3 matrix.

To multiply matrices, we need to ensure that the number of columns in the first matrix matches the number of rows in the second matrix. In this case, matrix A is a 1x3 matrix, and matrix B is a 3x1 matrix. Since the number of columns in A matches the number of rows in B, we can perform the multiplication.

To calculate the product, we take the dot product of the corresponding elements in each row of matrix A and each column of matrix B. In this case, we multiply 3 with 4, -5 with 2, and 1 with -3. Summing up these products, we obtain the elements of the resulting matrix.

Performing the matrix multiplication, we get the matrix product AB as \(\[ AB = \left[\begin{array}{lll} 3 \cdot 4 + (-5) \cdot 2 + 1 \cdot (-3) \end{array}\right] = \left[\begin{array}{lll} 7 \end{array}\right]. \]\)

Therefore, the resulting matrix AB is a 1x1 matrix with the value 7 as its only element.

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Let us begin by defining the mode of a set of numbers

The mode of a set of numbers is the number which occurs most often.

From the given data, we can see that the number with the highest frequency is 1.

Hence, the mode is 1

Answer:

x = 31; AB = 74

Step-by-step explanation:

if ABC = JKL then AB = JK

2x + 12 = 4x - 50

2x + 12 - 4x + 50 = 0

- 2x = - 62

x = 31

AB = 2 * 31 + 12 = 62 + 12 = 74

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Answer:

b = 8

Step-by-step explanation:

-2 + 8(b + 3) = 86

Open the parenthesis

-2 + 8b + 24 = 86

Combine like terms

8b + 22 = 86

Subtract 22 from both sides of the equation

8b = 64

Divide both sides by 8

b = 8

The probability of a student chosen plays a sport is \(\frac{6}{27}\)

'Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.'

According to the given problem,

Total number of students = 27

Number of students playing a sport = 6

Number of students playing an instrument = 12

Number of students no playing a sport or instrument = 13

Probability = \(\frac{No of possible events}{Total number of students}\)

                  = \(\frac{6}{27}\)

Hence, we can conclude that the probability of a student chosen plays a sport is \(\frac{6}{27}\).

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Answer:

y=1/2x-5

Step-by-step explanation:

By solving for slope, we get 1/2

We use the equation b=y-mx to find the y intercept

b= -5

Equation: y= 1/2x - 5

Answer:

1 makes 7 people full, 3 makes 5 people full

Step-by-step explanation:

1) A=b*h=33(22)=726 square inches. Would make 7 people full.

3)A=b*h=20(25)=500 square inches. Would make 5 people full

Out of the total 68 students, number of boys in class is 28  and number of girls in class is 40.

Given that,   Total number of students = 68

   And number of boys exceed number of girls by 12

Let, number of girls be x

Therefore number of boys = x + 12

According to the question,

                   Number of boys + Number of girls = 68

                             (x + 12) + x = 68

Now solving the linear equation, we get

                                  2x + 12 = 68

                                       2x = 68-12

                                       2x = 56

                                        x = 56/2

                                        x = 28

Hence, number of girls = x = 28

And number of boys = x + 12 = 28 + 12 = 40

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72% of the fish caught by Josephine were cod.

Josephine's catch of 75 fish is comprised of 54 cod.

To determine the percentage of fish that were cod, we need to divide the number of cod fish by the total number of fish and then multiply by 100.

The calculation for the percentage is as follows:

Percentage of cod fish = (Number of cod fish / Total number of fish) \(\times\) 100

Plugging in the values from the given information, we have:

Percentage of cod fish = (54 / 75) \(\times\) 100

Simplifying the expression:

Percentage of cod fish = 0.72 \(\times\) 100

Percentage of cod fish = 72

Therefore, 72% of the fish caught by Josephine were cod.

This means that out of the total sample of 75 fish, 54 of them were cod. By expressing this as a percentage, we can understand that cod fish made up a significant portion of Josephine's catch.

It's worth noting that percentages provide a useful way to compare proportions and understand the relative distribution of different groups within a given sample or population.

In this case, the 72% indicates that cod was the dominant species among the fish caught by Josephine.

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um if you meant y=2.5 when x=5 then the answer would be y=10 when x=20

Answer: -5

Step-by-step explanation:

The value of negative zero in g(x) = 3x² + 14x - 5 is 1.

Descarte's rule for no. of at most positive real roots in a polynomial is the no. of sign changes in the polynomial.

Descarte's rule for no. of at most negative real roots in a polynomial f(x) is the number of sign changes in f(-x).

All the other left over roots are imaginary and come in conjugate pairs.

The number of negative of f is equal to the number of sign changes of successive terms of f(-x).

Given, g(x) = 3x² + 14x - 5.

Now, g(-x) = 3(-x)² + 14(-x) - 5.

g(-x) = 3x² - 14x - 5.

The signs are +, -, - so only one sign changes.

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The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.

Explanation :

To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.

Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93

To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.

This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.

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Using proportions, it is found that the sales tax is of 8%.

A proportion is a fraction of a total amount.

In this problem, he buys a shirt for $32.00, then the second at 35% off, hence the price of the second shirt is:

P = (1 - 0.35) x 200 = 0.65 x 20 = $13.

The total price of the shirts is:

T = $32.00 + $13.00 = $45.00.

Hence, he pays $3.60 in taxes, and the sales tax is given by:

Tax = (3.6/45) x 100% = 8%.

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The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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A critical value, z subscript alpha (zα), denotes the boundary or cutoff point for a statistical test where the level of significance, also known as alpha (α), is set.

A critical value, z subscript alpha (zα), denotes the value at which the probability of observing a test statistic in the tail(s) of the sampling distribution equals the pre-determined significance level (alpha).

The critical value can be defined as the value that is compared with the parameter value in the hypothesis test to determine whether the null hypothesis will be rejected. If the value of the parameter is less than the critical value, the null hypothesis is rejected.

However, if the measured value is higher than the critical value, reject the null hypothesis and accept the alternative hypothesis. In other words, cropping divides the image into acceptable and unacceptable areas. If the value of the index falls within the rejection range, the rejection of the fact is rejected, otherwise the negative hypothesis is rejected.

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The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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Answer:

option a.

abc(a+b+c).

.............

Answer: ∠ 5

Step-by-step explanation:

I got you fam

Answer:

4.2 team members per day

Step-by-step explanation:

5 + 4 + 2 + 7 + 3 = 21

21/5 = 4.2

An average is the arithmetic mean of a set of observations. The average number of team members who reached their goal per day is 4.2.

An average is the arithmetic mean of a set of observations. it is given by the formula,

\(\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}\)

As it is given that the Number of team members that reach their goal on the weekdays Monday, Tuesday, Wednesday, Thursday, and Friday are 5, 4, 2, 7, and 3 respectively. Therefore, the average number of team members who reached their goal per day can be written as,

\(\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}\\\\\\Average = \dfrac{5+4+2+7+3}{5} = \dfrac{21}{5}=4.2\)

Thus, the average number of team members who reached their goal per day is 4.2.

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The required inequality expression is 8x + 6.50y ≤ 200

Maximum amount he can spend = $200

Cost of doll, = $6.50

Cost of car = $ 8.00

Mathematically, the maximum amount he can spend on restocking is cars and doll is :

(Cost of cars × number of cars) + (cost of doll × number of dolls) ≤ maximum amount

8x + 6.50y ≤ 200

Hence, the required inequality expression is : 8x + 6.50y ≤ 200

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There are "P(20, 10) - P(15, 10)" options (ways) to distribute the coupons so that at least one woman receives a coupon.

What do you mean by permutation?

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

There are P(20, 10) ways to distribute the coupons if they are different, with the only restriction being that no more than one coupon can be given to a shopper. To ensure that all of the coupons go to the guys, there are P(15, 10) ways to distribute them. In order to ensure that at least one coupon is given to a woman, there are P(20, 10) - P(15, 10) options to distribute the coupons.

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Complete Question

10 coupons are given to 20 shoppers in a store. Each shopper can receive at most one coupon. 5 of the shoppers are women and 15 of the shoppers are men.

If the coupons are different, how many ways are there to distribute the coupons so that at least one woman receives a coupon?

Answer: (-1/2)^3

-0.125

Step-by-step explanation:

-.125 or 5/40. zzzzzzzzzzzzzzzzz

Answer:

-18

Step-by-step explanation:

Slope = (change in vertical coordinate in going from one point to the other) DIVIDED BY (change in the horizontal coordinate) = (48-12)/(32-34)=36/(-2) = -18.

Answer: Choice A

The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is   15   ​, which is not equal to the product of the numerator of the second fraction and the denominator of the first​ fraction    16    

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

Explanation:

We have the template \(\frac{P}{Q} = \frac{R}{S}\) which cross multiplies to \(PS = QR\)

So if \(\frac{3}{4} = \frac{4}{5}\) was true, then \(3*5 = 4*4\) must be true as well, and vice versa.

The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.

In short, \(3*5 = 4*4\) turns into \(15 = 16\) which is a false statement. So the original claim that \(\frac{3}{4} = \frac{4}{5}\) is also false.