if x is the number of years since 2000 and y is the percent of people using travel services, the following equations represent the percent of people using travel and the percent of people using the internet to plan travel. Travel agents: y=-2x+30 Internet: y=6x+41. Estimate the year travel agents and the internet were used equally.

Answer:

27

Step-by-step explanation:

6 pizzas with six slices: 6*6=36---> she has 36 slices

1/4 of 36= how many she sold

1/4(36) or 36/4= 9

she sold 9 slices

36-9= the amount she has left

which is 27

Answer: 27 slices were left

Step-by-step explanation: If Mrs. Hilt had a total of 6 pizzas with 6 slices in each she would have 36 slices of pizza in total she sold 1/4 of the so set up you equation as 36/4 which equals 9 since it ask how many she had left you would subtract 9 from 36 {36-9=27)

Answer:

A keeper is someone who is responsible for something, especially a property or a lot of animals. A keeper might take care of a big summer house during the winter months. You can use keeper to mean "caretaker", someone whose job involves maintaining a house, farm, estate, or grounds.

Hope it helps :)

Answer:

Step-by-step explanation:

You want the amount spent on ads in each medium given the total and relations between amounts spent for newspaper, television, and radio ads.

Let n, t, r represent the amounts spent on ads in newspapers, television, and radio, respectively. The given relations tell you ....

  n +t +r = 87.5

  -n +t +r = 2.9

  n -t = 5.4

The augmented coefficient matrix can be reduced to row-echelon form using a suitable calculator or spreadsheet. This tells you the amounts spent in each medium. The attachment shows this.

__

Additional comment

The value of n can be found by subtracting the second equation from the first. That can be used in the third equation to find t, and both of those values can be used in either of the first two equations to find r.

The equation of the straight line is 2x+5y=340.

The x-intercept point of that line is (170,0).

A straight line has different forms like point-slope form, standard form, slope-intercept form, and others. A specific form is used according to the given data for convenience.

here, we have,

As f(-10)=64 and f(15)=54, two points can be wriiten as (x₁,y₁)=(-10,64) and (x₂,y₂)=(15,54).

Now, use the two-point form of the equation of a line.

(y-y₁)/(x-x₁)=(y₂-y₁)/(x₂-x₁)

(y-64)/(x-(-10))=(54-64)/(15-(-10))

(y-64)/(x-10)=-10/25

25(y-64)=-10(x-10)

5(y-64)=-2(x-10)

5y-320=-2x+20

2x+5y=340

Therefore, the required equation of the line is 2x+5y=340.

To find the x-intercept, substitute y=0 into the equation of the line.

2x+5×0=340

2x=340

x=170

Therefore, the x-intercept point is (170,0).

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Answer:

∠R=∠C

∠U=∠A

∠G=∠R

∴∠RUG=∠CAR

Answer:

Step-by-step explanation:

Jdhbdzbzvdksksskdjdjhdjdjdjjdjdjjfnfndjffjdjxbbx jasjsjs hahahas

Answer:

Range is \(\{y|y\neq 1\}\)

Step-by-step explanation:

\(f(x)=x+1\\g(x)=\frac{1}{x}\\ \\(f\circ g)(x)=f(g(x))=f(\frac{1}{x})=\frac{1}{x}+1\)

Thus, the range of the composite function is \(\{y|y\neq 1\}\), indicated by the horizontal asymptote.

The solution for the linear system will be , x(t) = 4 c₁e^t +  4 c₂e^t and

y(t) = -c₂e^t + c₂(1 - t)e^t .

The solution is given by ,

matrix | x y | = c₁ .v . e^λt  + c₂( w + v.t ) e^λt

Given that the matrix has repeated eigenvalue with eigenvector  generalized  vectors ,

λ = 1 with eigenvector v = [ 4 , -1 ] and  generalized  vectors w =[ 0,1 ].

then the solution will be,

c₁ [ 4 , 1 ] e^t +  c₂[ 0 , 1] + [ 4 , -1 ] )e^t

therefore,

x(t) = 4 c₁e^t +  4 c₂e^t

y(t) = -c₂e^t + c₂(1 - t)e^t

Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.

Matrix multiplication, for example, depicts the combination of linear maps.

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Answer:

∠A = 88°

∠B = 92°

∠C = 88°

∠D = 92°

Step-by-step explanation:

∠A + ∠B = 180°

(2x + 4) + (3x - 34) = 180

reduce:

5x - 30 = 180

5x = 210

x = 42

∠A = 2(42) + 4 = 88°

∠B = 3(42) -34 = 92°

∠C = ∠A = 88°

∠D = ∠B = 92°

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

5

Step-by-step explanation:

The mean value is simply the average of the numbers.

(8+2+4+1+x)/5=4

15+x=20

x=5

The number on the fifth envelope is 5 if there are five envelopes on a table. Four of the envelopes are marked 8, 2, 4, and 1.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that:

There are five envelopes on a table. Four of the envelopes are marked 8, 2, 4 and 1.

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

From the data given in the question:

Let x be the number on the fifths envelope:

(8 + 2 + 4 + 1 + x)/5=4

15 + x = 20

x = 5

Thus, the number on the fifth envelope is 5 if there are five envelopes on a table. Four of the envelopes are marked 8, 2, 4, and 1.

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To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.

Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.

Using trigonometry, we can set up the following equation:

tan(32°) = h / 750

To find the value of h, we can rearrange the equation:

h = tan(32°) * 750

Using a calculator, we can find the value of tan(32°) ≈ 0.6249.

Now we can calculate the height of the shuttle:

h ≈ 0.6249 * 750

h ≈ 468.675 meters

Therefore, the height of the shuttle is approximately 468.675 meters.

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Answer:

The standard form of the equation of a circle is

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

where (a,b) are the coords of the centre and r , the radius.

x

2

+

y

2

=

16

is in this form

with a = b = 0 and r = 4

hence this circle has centre at the origin (0,0) and radius 4

The intercepts will therefore be (± 4,0) and (0, ± 4 )

The algebric expression \(cot(sin^{(-1)}\sqrt{(x^2}\)simplifies to sqrt(1 - |x|^2) / |x|.

The expression "cot(sin^(-1)(sqrt(x^2)))" involves trigonometric and square root functions. Let's break it down step by step to simplify the expression.

Inside the square root: x^2.

The square root of x^2 is |x| (the absolute value of x), as the square root eliminates the square and keeps the positive value.

The expression sin^(-1)(sqrt(x^2)) is equivalent to arcsin(sqrt(x^2)).

Since we already know that the square root of x^2 is |x|, we can rewrite the expression as arcsin(|x|).

Now, we have cot(arcsin(|x|)).

The cotangent (cot) of an angle is equal to the reciprocal of the tangent (tan) of the same angle.

So, cot(arcsin(|x|)) can be written as 1 / tan(arcsin(|x|)).

Using the inverse trigonometric identity, tan(arcsin(x)) = x / sqrt(1 - x^2), we can simplify further.

In our case, x = |x|.

Therefore, tan(arcsin(|x|)) = |x| / sqrt(1 - |x|^2).

Substituting this result back into the expression, we have 1 / (|x| / sqrt(1 - |x|^2)).

To divide by a fraction, we multiply by its reciprocal.

Hence, the final simplification of the expression is sqrt(1 - |x|^2) / |x|.

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Answer:

-279.63

Step-by-step explanation:

Answer:

-279.63

Step-by-step explanation:

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

Answer:

X = 2/3

Hope this helps :D

Answer:

y = -1/4x + 2

Step-by-step explanation:

First you have to pick 2 points on the line, then you find the slope of the line from those 2 points. The slope formula is m = (y2-y1) / (x2-x1), and filling the variables in with the points (0,2) and (4,1) gives you m = (1-2) / (4-0), which gives you m = -1/4.

Once you have found the slope, you look for the y-intercept which is the point where the x-value is 0, and that is 2 in this graph.

You can then put this information into slope-intercept form, y= mx + b. m represents the slope and b represents the y-intercept. The answer is y = -1/4x + 2

Answer:

3/8

Step-by-step explanation:

45/72=5/8

(5/8)+x=72/72

x=1-(5/8)

x=3/8

The correct option E: A hypothesis test with an alternative hypothesis that the number of students per school is more than the average capacity of the schools in the district.

In response to the issue,

Thus, a hypothesis test using the alternative hypothesis that now the number of pupils per school exceeds the average capacity of a schools in the district would be the most suitable statistical approach.

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The complete question is-

A school district wants to justify building a new elementary school in the district. Which statistical method would be most appropriate?

Group of answer choices

A: Regression with number of students as the independent variable

B: Regression number of students as the dependent variable

C: Use a confidence interval with expected number of students per school as the mean

D: A hypothesis test with an alternative hypothesis that the number of students per school is less than or equal to average capacity of the schools in the district

E: A hypothesis test with an alternative hypothesis that the number of students per school is more than the average capacity of the schools in the district

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

The equivalent expressions of 45 + 2i are (13 + 4i) + (32 - 6i) and  (9 + 4i) + 2(4 + 7i)(1 - 2i)

From the question, we have the following parameters that can be used in our computation:

Complex number: 45 + 2i

Next, we test the options:

(13 + 4i) + (32 - 6i) = 13 + 4i + 32 - 6i

(13 + 4i) + (32 - 6i) = 45 - 2i --- true

(13 + 4i) + 2(7 + 2i)(2 -i) = (13 + 4i) + 2(14 - 7i + 4i - 2)

(13 + 4i) + 2(7 + 2i)(2 -i) = 13 + 4i + 28 - 14i + 8i - 4

(13 + 4i) + 2(7 + 2i)(2 -i) = 37 - 2i --- false

(2 + 8i) + (30 - 6i) = 2 + 8i + 30 - 6i

(2 + 8i) + (30 - 6i) = 32 + 2i--- false

(9 + 4i) + 2(4 + 7i)(1 - 2i) =  (9 + 4i) + 2(4  - 8i + 7i + 14)

(9 + 4i) + 2(4 + 7i)(1 - 2i) =  9 + 4i + 8  - 16i + 14i + 28

(9 + 4i) + 2(4 + 7i)(1 - 2i) =  45+ 2i --- true

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The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.

The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.

The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:

= 5 - 1

= 4

The level of significance would be:

= 1 - 99. 0 %

= 0. 01

The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.

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Answer:

px^2= (3)4= 12^2= 144

Step-by-step explanation:

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

The mother is 30 and the daughter is 6

Step-by-step explanation:

When solving for this, you can derive the equations

x=5y and x+6= 3(y+6)

x= mother and y= Daughter

Solve the equations by substituting the first equation into the places of x in the second equation to get the value of x. Next, pug in the value of x and solve for y.

Answer:

V=326.725636 or V=104\(\pi\)

Step-by-step explanation:

V=\(\pi\)\(r^{2}\)h

V=\(\pi\)\(2^{2}\)(26)

V=\(\pi\)4(26)

V=326.725636

Answer:

$13.50.

Step-by-step explanation:

80% = 0.80 as a decimal fraction.

The marked up price

= 7.50 + 0.80 * 7.50

= $13.50.

so the new price will just be 7.5 plus 80% of 7.5

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 7.50}}{\left( \cfrac{80}{100} \right)7.50}\implies 6\hspace{5em}\underset{selling~price}{\stackrel{7.50~~ + ~~6}{13.50}}\)