please show me a step by step on how to solve this Math problem!
thank you in advance!
You are studying meteorology and collect weather data for Gainesville, FL for the months of April, May, and June 2015. The function T(x)=.18 x+80.25 gives an estimate of the daily high temperatu

Answer:

1.35$

Step-by-step explanation:

Answer: 1.35

Step-by-step explanation:

\(\frac{15}{100}\)×9= 1.35

hope this helps :)

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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5 cm or 29 cm

Step-by-step explanation:

Let x length is cut off from each measurements.

Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.

Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.

Therefore, by Pythagoras theorem:

\( {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29\)

So, the length that is cut off will be either 5 cm or 29 cm.

Total number of selecting three partners randomly in which at least one junior partner must be there out of 23 senior and 24 junior partners is 14,444

Combination:

                       Combination is the number of possible ways, where order is irrelevant and replacements are not permitted, to select a sample of r elements from a set of n different objects.

                             \(C(n,r)=nCr = \frac{n!}{(n-r)! r!}\)

  C(n, r) means, Selection of r things out of n different things

           According to question,

        Given,

                    A firm has 23 senior and 24 junior partners.

      We have to select three partners randomly in which at least one junior partner must be there.

Case I : 2 senior and 1 junior partners

            2 senior partners can be selected out of 23 in C(23,2) ways

            1 junior partner can be selected out of 24 in C(24,1) ways

      hence number of ways of selecting 2 senior and 1 junior partners is equal to

                      C(23,2) x C(24,1)

Case II :  2 senior and 1 junior partners

               1 senior partners can be selected out of 23 in C(23,1) ways

               2 junior partner can be selected out of 24 in C(24,2) ways

      hence number of ways of selecting 1 senior and 2 junior partners is equal to

                          C(23,1) x  C(24,2)    

Case III :  0 senior and 3 junior partners

               0 senior partners can be selected out of 23 in C(23,0) ways

               3 junior partner can be selected out of 24 in C(24,3) ways

      hence number of ways of selecting no senior and 3 junior partners is equal to

                          C(23,0) x  C(24,3)    

Thus,

        Total number of selecting three partners randomly in which at least one junior partner must be there is

           C(23,2) x C(24,1) +  C(23,1) x  C(24,2)   + C(23,0) x  C(24,3)  

Using formula,

                           \(C(n,r)=nCr = \frac{n!}{(n-r)! r!}\)

       C(23,2) x C(24,1) +  C(23,1) x  C(24,2)   + C(23,0) x  C(24,3)  

    =    253    x 24        +  23        x  276        + 1           x 2024

    =    6072   +  6348 + 2024

    =    14,444

Total number of selecting three partners randomly in which at least one junior partner must be there is 14,444

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In the database system, the entities are referred to as Employee, Housekeeper, Cleaning, Condo, Booking, Guest, GuestAddress, Family, Guide, Reservation, and Activity. The attributes of Employee are EmplD, LName, MName, FName, Gender, Phone, HireDate, MgrNum, Department, Salary, EType.

The attributes of Housekeeper are HKID, Shift, Status. The attributes of Cleaning are SchedulelD, HKID, BldgNum, Unit Num, Date Cleaned. The attributes of Condo are BldgNum, UnitNum, SqrFt, Bdrms, Baths, DailyRate. The attributes of Booking are BooklD, BldgNum, UnitNum, GuestlD, StartDate, EndDate, TotalBookingAmt. The attributes of Guest are GuestlD, LName, FName, Street, City, State, Phone, SpouseFName.

The attributes of GuestAddress are GuestiD, Street, City, State. The attributes of Family are FName, Relationship, GuestlD, Birthdate. The attributes of Guide are GuldelD, Level, CertDate, CertRenew, BadgeColor, TrainingHours. The attributes of Reservation are ResiD, Guestid, NumberinParty, GuidelD, RDate, ActID, TotalActivityAmt. The attributes of Activity are ActiD, Description, Hours, PPP, Distance, Type.

This database will help in keeping track of all the guest details, bookings, reservations, activities, and other important data. With this information, the management can make informed decisions and provide better service to guests

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Answer:

z^2 = -12y

or y = -(z^2/12)

Step-by-step explanation:

Answer:

z^2 = -12y

Step-by-step explanation:

Given the vertex at origin;

This is same as (0,0)

The focus (0,-3)

The general form is;

(z-h)^2 = 4p(y-k)

(h,k) is the vertex (0,0); so h = 0 and k = 0

The focus is given as;

(h,k + p)

so ;

k + p = -3

but k =0

so p = -3

Thus, the equation of the parabola is;

(z-0)^2 = 4(-3)(y-0)

z^2 = -12y

The expression that represents the total cost of games after w weeks is 1000w + 2000wg.

The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) = 500 + 1000g. The number of games produced in w weeks is given by the function g(w) = 2w.

The expression that represents the total cost of games after w weeks can be represented as follows;

Therefore,

v(g) = 500 + 1000g

g(w) = 2w.

total cost = v(g) × g(w)

total cost = (500 + 1000g)2w

Therefore,

total cost = 1000w + 2000gw

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Answer:

x+y= idk

Step-by-step explanation:

sorry i need the points

Answer:

15

Step-by-step explanation:

so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.

Given data:

The cloth bought by Jakke is C 1 1/2 yards.

The cloth used in the project is P=2/3 yards.

The expression for the cloth left is,

Substitute the given values in the above expression.

Thus, the amount of cloth left is 5/6 yards.

Calculating the correlation coefficient, which runs from -1 to 1, will reveal how strong a correlation is.

Positive Correlation, A relationship between two variables such that as one variable increases, the other variable also increases.

Negative Correlation, A relationship between two variables such that as one variable increases, the other variable decreases.

No Correlation, A relationship between two variables such that there is no relationship or pattern between the two variables.

The strength of a correlation can be determined by calculating the correlation coefficient, which ranges from -1 to 1. A value of -1 indicates a perfect negative correlation, a value of 1 indicates a perfect positive correlation, and a value of 0 indicates no correlation. The closer the correlation coefficient is to either -1 or 1, the stronger the correlation is.

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we know that

6.2 pounds of seed to plant one acre of grass

so

Applying proportion

Find out how many acres can be planted with 9.92 pounds of seed

1/6.2=x/9.92

solve for x

x=9.92/6.2

x=1.6

therefore

Answer:

Area of rectangle cage = 336 feet²

Step-by-step explanation:

Given:

Wire required for fencing = 100 feet

Width of rectangular cage = 8 feet

Find:

Area of rectangle cage

Computation:

Wire required for fencing = perimeter of cage

Perimeter of rectangular cage = 100 feet

2[l + b] = 100 feet

l + 8 = 50 feet

Length of rectangular cage = 42 feet

Area of rectangle cage = Length x Width

Area of rectangle cage = 42 x 8

Area of rectangle cage = 336 feet²

The values of a, R and T are:

i. a = 6

ii. R = 106^o

iii. T = 74^o

A transversal implies a straight line which passes through two or more parallel lines, thus producing a set of angles. These angles are referred to as angles formed by a transversal. Some of the angles formed have similar properties.

Considering the question, to find the values of a, R and T we have;

(5x - 19) + (3x - 1) = 180^o

8x - 20 = 180

8x = 200

x = 200/ 8

  = 25

x = 25^o

Thus we can deduce that;

i. R = (5x - 19)     (vertical opposite angle theorem)

     = 5(25) - 19

     = 125 - 19

     = 106

R = 106^o

ii. T = (3x - 1)        (vertical opposite angle theorem)

      = 3(25) - 1

      = 75 - 1

      = 74

T = 74^o

iii. Since the lines cut by the transversal are parallel, then;

a = 6

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There are option (b) 12 integers between 1000 and 1999 that have distinct odd digits.

To find the number of integers between 1000 and 7400 that have distinct odd digits, we can break down the problem into smaller parts. First, we can count the number of integers between 1000 and 1999 that have distinct odd digits. We can then count the number of integers between 2000 and 2999, and so on, until we count the number of integers between 7000 and 7400.

Let's focus on the first part of the problem, which is finding the number of integers between 1000 and 1999 that have distinct odd digits. To do this, we can use the following steps:

Using the multiplication principle, we can multiply the number of choices we have for each digit to find the total number of integers between 1000 and 1999 that have distinct odd digits. This gives us:

4 x 3 x 2 x 1 = 24/2 = 12

Therefore, we find that the answer to the problem is (b) 12 integers.

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The equation of the line of fit can be written as y = x + 4.

Two points from which to write the equation of a line of fit can be determined by using the mean, median, and mode of the data set. The mean, median, and mode help to identify the center of the data set, which helps to identify two points that can be used to write the equation of the line of fit. The mean is calculated by taking the sum of all the data points and dividing it by the total number of data points. The median is the middle value of the data set when the data points are ordered from lowest to highest. The mode is the value that appears the most in the data set. By finding the mean, median, and mode of the data set, two points that can be used to write the equation of the line of fit can be determined. The two points can be determined by taking the mean, median, or mode value of the data set, and adding or subtracting an arbitrary value from that point. For example, if the mean of the data set is 8 and an arbitrary value of 2 is added to it, the two points of the line of fit can be (8, 10) and (8, 6). Using these two points, the equation of the line of fit can be written as y = x + 4.

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The horizontal component of the vector is 2.23 mm and the vertical component is 12.87 mm.

To find the horizontal and vertical components of the vector, we need to use trigonometric functions.

The magnitude of the vector is 13 mm and its direction is 84 degrees.

Let's call the horizontal component of the vector "x" and the vertical component "y".

Then, we have:

cos(84) = x/13 (using the definition of cosine)

sin(84) = y/13 (using the definition of sine)

Now we can solve for x and y:

x = 13 × cos(84) = 2.23 mm

y = 13 × sin(84) = 12.87 mm

Therefore, the horizontal component of the vector is 2.23 mm and the vertical component is 12.87 mm.

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Answer: The answer is A

Step-by-step explanation: All right angles are 90 degrees :))

The inverse of the statement is If an angle does not have a measure of 90°, it is not a right angle.

The inverse of a conditional statement is when both the hypothesis and conclusion are negated.

Given that, a statement, If an angle has a measure of 90°, it is a right angle.

Rule for inverse is ∼p→∼q (if not p, then not q).

Therefore, the inverse of the statement will be If an angle does not have a measure of 90°, it is not a right angle.

Hence, the correct option is c.

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Answer:

4^10 = 1,048,576

A, C, E

Step-by-step explanation:

A= 1,048,576

B= 10,000

C= 1,048,576

D= 16,384

E= 1,048,576

An expression is defined as a set of numbers, variables, and mathematical operations. The expressions are A, C, and E.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to 4¹⁰ is,

Hence, the expressions are A, C, and E.

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Answer:

The last answer w/6

Step-by-step explanation:

The quotient of a number and six is like saying a number divided by 6 which we represent with w.

Brainliest Please . . . .

Answer:

last option (w/6)

Step-by-step explanation:

Quotient=division

"the number" represents a variable, in this case W

divide it by six

that's W/6

horizontal transformation 1 unit left.

vertical translation 2 units down.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

f(x) = \(4^{x}\)

g(x) = \(4^{x+1} -2\)

As, we can see that g(x) is shifted left side by 1 unit

So, horizontal transformation 1 unit left.

Now, as 2 is subtracted

So, vertical translation 2 units down.

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Answer:

6 children passes

Step-by-step explanation:

a = adult and c = children

25a + 15c = 440           and          a + c = 20

                                                     c = 20 - a

25a + 15(20-a) = 440

25a + 300 - 15a = 440

25a - 15a = 440 - 300

10a = 140

a = 140/10

a = 14 and this is 14 adult tickets

Now we plug the a value into the equation to find the c value

14 + c = 20

c = 20 - 14

c = 6

Verify answer:

25(14) = 15(6) = 440

350 + 90 = 440

440 = 440

Based on the table, the number strings that Darnell needs to send an encoded message to Raya are 8 5 11 11 15 0 18 1 25 1.

Coding is the process of creating messages using a particular pattern or language.

The given table shows a coding pattern.

1. From the table, the number string that corresponds to Hello Raya is: 8 5 11 11 15 0 18 1 25 1

2. The number of 2 × 1 matrices in the sequence is five

3. The 2 × 1 matrices are as follows:

\(\left[\begin{array}{c}8&5\end{array}\right] \left[\begin{array}{c}11&11\end{array}\right] \left[\begin{array}{c}15&0\end{array}\right] \left[\begin{array}{c}18&1\end{array}\right] \left[\begin{array}{c}25&1\end{array}\right]\)

4. The enumerated matrix B is given below:

\(B = \left[\begin{array}{ccccc}8&11&15&18&25&5&11&0&1&1\end{array}\right]\)

5. The matrix A × B is given below as:

\(A * B = \left[\begin{array}{cc}3&4&1&-2\end{array}\right] * \left[\begin{array}{ccccc}8&11&15&18&25&5&11&0&1&1\end{array}\right]\)

\(A * B = \left[\begin{array}{ccccc}44&77&45&58&79&-2&-11&15&16&23\end{array}\right]\)

Therefore, the codes are as given above.

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The degrees of freedom associated with within treatments are 12 within the variation sum of squares degrees of freedom mean square f between treatments 64 within treatments (error) 96.

The ANOVA table divides the overall variance into variation between treatments and variation within treatments. Each source of variation's degrees of freedom (DF) is also provided.

According to the information provided, there are three treatments and a total of 15 observations. As a result, the total degrees of freedom is:

\(DF_{total}\) = n - 1

where n is the number of observations

\(DF_{total}\)= 15 - 1 = 14

The degrees of freedom between treatments are equal to the number of treatments minus one:

\(DF_{between}\) = k - 1

where k is the number of groups being compared

\(DF_{between}\)= 3 - 1 = 2

The number of treatments minus one equals the degrees of freedom between treatments, that is 2

We may use the following formula to calculate the degrees of freedom within treatments:

\(DF_{within}\) = \(DF_{total} - DF_{between}\)

Substituting the values we have:

\(DF_{within}\) = 14 - 2 = 12

\(DF_{within}\) = 12

As a result, the answer is 12. The degrees of freedom associated with within treatments are 12.

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Answer:

x= 19

Step-by-step explanation:

Is given that the triangles are congruent so the corresponding sides are congruent as well.

Also congruent sides are equal in measure so we use the given picture to write the equality.

2x -1 = 37, add 1 to both sides

  2x = 38 , divide both sides by 2

    x = 19

Door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

The term sampling  selecting refers to the selection of a small proportion of the population extrapolating the results the results obtained from this small group to represent the characteristics of the entire population. This sample is chose in a manner as to reflect the properties the generality of the population.

Hence, door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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To find c, cdf and P(. 1 ≤ X <. 5), the calculation is given.

Suppose that X has the density function f (x) = cx² for 0 ≤ x ≤ 1 and f (x) = 0 otherwise.
a. Find c.
To find c, we need to use the fact that the integral of the density function over the entire range of x should equal 1. That is,
∫0¹ f(x) dx = 1
Substituting the given density function, we get
∫0¹cx² dx = 1
Integrating and simplifying, we get
c(1/3) = 1
Solving for c, we get
c = 3
So, the value of c is 3.
b. Find the cdf.
The cdf is the integral of the density function from the lower limit of x to a given value of x. That is,
F(x) = ∫₀ˣ f(t) dt
Substituting the given density function and simplifying, we get
F(x) = ∫₀ˣ 3t²dt
Integrating and simplifying, we get
F(x) = x³
So the cdf is F(x) = x³
c. What is P(.1 ≤ X < .5)?
To find this probability, we need to find the difference between the cdf at the upper limit and the cdf at the lower limit. That is,
P(.1 ≤ X < .5) = F(.5) - F(.1)
Substituting the cdf that we found earlier, we get
P(.1 ≤ X < .5) = (0.5)³ - (0.1)³
Simplifying, we get
P(.1 ≤ X < .5) = .125 - .001
P(.1 ≤ X < .5) = 0.124
So the probability that X is between .1 and .5 is .124.

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According to the linear cost function sneakers are produced in 8 hours is 4400.

Businesses employ a mathematical technique called a linear cost function to calculate the overall costs related to a certain level of production. When the cost of producing each item is constant regardless of the number of units produced, this approach of cost estimating can be used.

Given :

C(x) = 25x + 400

x(t) = 20t

∴ C(x) = 25(20t) + 400

∴ C(x) = 500t + 400

Now,

C(x(t)) =  C(x(8)) = 500t + 400

                         = 500(8) + 400

                         = 4400

∴   C(x(8)) =4400

sneakers are produced in 8 hours = 4400

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Answer:

ummm is there more to the problem?!

Cool.... the question???

Step-by-step explanation:

x^2 -y^2 = 25

x/y = 3/2    or   x = 3/2 y   <=====sub into first equation

(3/2 y)^2 - y^2 = 25

9/4 y^2 - y^2 = 25

5/4 y^2 = 25

y^2 = 25 (4/5) = 20

y = sqrt (20) = 2 sqrt 5

                then x = 3/2 y =  3 sqrt5