Y’all help me, LIKE RNRNRN

ANSWER

13.5

EXPLANATION

It was given that, y varies directly as x.

Therefore, the variation equation is of the form:

If y is 4.5 when x is 3, then we can substitute to find the constant of variation.

Divide both sides by 3;

Hence the equation becomes:

When x=9,

Answer: \(x+y=45\\\\1000 x + 500y = $2500\)

Step-by-step explanation:

Let x =  Number of employees taking technology training

y= Number of employees taking customer service training

Given, The technology training costs $1,000 per person. The customer service training costs $500 per person.

Total cost = 1000 x + 500y

Since, Total cost = $25,000 and total employee to attend training= 45 .

That means , the required equations are:

\(x+y=45\\\\1000 x + 500y = $2500\)

Answer:

1,000x + 500y = 45

x + y =45

Step-by-step explanation:

So that means answer b is the correct answer, also I took the test.

Answer:

0 20

Step-by-step explanation:

x2 + y2 = r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .

The total number of students in the sample who visited campus bars on the weekend before the final exam week is an example of a discrete random variable.

Discrete Random Variable: A discrete random variable is a statistical variable that takes a finite or countable number of values. For instance, the number of cars on a street, the number of people in a movie theatre, and the number of students in a class are all examples of discrete random variables. For example, the total number of students in the sample who visited campus bars on the weekend before the final exam week can take a finite set of values from 0 to 250, making it a discrete random variable.

Know more about Discrete Random Variable here:

https://brainly.com/question/30789758

#SPJ11

Answer:

I think it's 7- 2i over 3. hopefully that helps

Answer:

y = (x+2) + 6

Step-by-step explanation:

Using the spring's force we know that 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

So, F is the 4 lb force required to maintain the spring's stretched position.

The labor of extending a spring is denoted by the formula:

So, calculate:

Therefore, 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

To learn more about the spring's force refer to:

brainly.com/question/25559287

#SPJ4

The variables are:

x: number of portraits

y: number of landscapes

She wants to sell at least 90 drawings, that is,

x + y ≥ 90

She sells the portraits for $14 each and the landscapes for $12. She needs to earn at least $504, that is,

14x + 12y ≥ 504

To graph the inequalities, first, we need to draw the lines. We can do that by finding two points on the line.

Line: x + y = 90

x = 0

0 + y = 90

y = 90

y = 0

x + 0 = 90

x = 90

The points are (0, 90) and (90, 0)

To know what area we have to shade, we need to check if a chosen point satisfies the inequality. For example, for the point (0, 0)

0 + 0 ≥ 90

0 ≥ 90

which is false, then (0, 0) is not a solution, and we have to shade above the solid line.

Line: 14x + 12y = 504

x = 0

14(0) + 12y = 504

y = 504/12

y = 42

y = 0

14x + 12(0) = 504

x = 504/14

x = 36

The points are (0, 42) and (36, 0)

Substituting with (0, 0) into the inequality,

14(0) + 12(0) ≥ 504

0 ≥ 504

which is false, then (0, 0) is not a solution, and we have to shade above the solid line.

The solution to the system of inequalities is the region above the upper line.

If Caitlyn sells 70 portraits and 40 landscapes she will meet the minimum sales and earn a profit (the point is on the solution)

If Caitlyn sells 60 portraits and 85 landscapes she will meet the minimum sales and earn a profit (the point is on the solution)

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

To know more about trigonometric visit :

https://brainly.com/question/29156330

#SPJ11

To calculate the interval for a high degree of confidence that at least 95% of all UHPC specimens adhered to steel will have work of adhesion values between the limits of the interval, we need to use a confidence interval formula. Assuming a normal distribution, we can use the formula:

1. Obtain the mean (µ) and standard deviation (σ) of the work of adhesion values from the sample data.
2. Determine the desired confidence level (95% in this case), which corresponds to a Z-score of 1.96 (from a standard normal distribution table).
3. Calculate the standard error (SE) by dividing the standard deviation (σ) by the square root of the sample size (n): SE = σ / √n.
4. Calculate the margin of error (ME) by multiplying the Z-score by the standard error: ME = 1.96 * SE.
5. Find the confidence interval by subtracting and adding the margin of error from the mean: (µ - ME, µ + ME).

Round your answers to two decimal places. This interval provides a 95% confidence that the true work of adhesion values for at least 95% of all UHPC specimens adhered to steel lie between these limits.

Learn more about interval here : brainly.com/question/30486507

#SPJ11

Answer:

Step-by-step explanation:

\begin{align*}

T_{1,1} &= \frac{1}{2} (f(0) + f(1)) \\

&= \frac{1}{2} (1 + \frac{1}{2}) \\

&= \frac{3}{4}

\end{align*}

Now, for two subintervals:

\begin{align*}

T_{2,1} &= \frac{1}{4} (f(0) + 2f(1/2) + f(1)) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \left(\frac{1}{2}\right)^2}\right) + \frac{1}{1^2}\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \frac{1}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{\frac{5}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \cdot \frac{4}{5} + 1\right) \\

&= \frac{1}{4} \left(1 + \frac{8}{5} + 1\right) \\

&= \frac{1}{4} \left(\frac{5}{5} + \frac{8}{5} + \frac{5}{5}\right)

\end{align*}

Thus, the approximate value of the integral using Romberg's method is T_2,1, and this can also be used to obtain an approximate value of π.

To know more about Romberg's method refer here:

https://brainly.com/question/32552896

#SPJ11

Answer:

y = -12x + 3

Step-by-step explanation:

The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:

y = mx + b

y = -12x + 3

Answer:

Yes, she is correct

Step-by-step explanation:

5 + -6= 5-6

When there is an addition and subtraction sign in the middle of two numbers, subtraction remains

yes she is correct.

5+-6=5-6

when there is an addition and subtraction sign in the middle of two number subtraction remain

Step-by-step explanation:

239000  -  7000  = 232 000     or    2.32 x 10^5

The function f(x) = 3x^2 + 4x - 5 represents a quadratic function. To find the value of f(-2), we substitute -2 into the equation and perform the necessary calculations. The resulting value is -1.

We are given the function f(x) = 3x^2 + 4x - 5, and we need to evaluate f(-2), which means finding the value of the function when x is equal to -2. To do this, we substitute -2 into the equation:

f(-2) = 3(-2)^2 + 4(-2) - 5

     = 3(4) - 8 - 5

     = 12 - 8 - 5

     = -1

By simplifying the expression, we find that f(-2) equals -1.

In conclusion, when we substitute -2 into the equation f(x) = 3x^2 + 4x - 5, we get a value of -1 for f(-2).

To know more about function, click here: brainly.com/question/11270390

#SPJ11

The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

\(\overline{x} = 1400, n = 64, s = 240\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

More can be learned about the t-distribution at https://brainly.com/question/17073112

#SPJ1

Answer:

ans - 25.77°

Step-by-step explanation:

tan a = 14/29

a = tan ^ -1 14/29

a = 25.77°

Answer:

25.77

Step-by-step explanation:

It's logically impossible for this angle to be .008.

Alternatively (the harder way), use trigonometric ratios to solve this problem.

Since you know the adjacent and opposite angle, you need to use tangent ratio.

tan = a/o

Use \(tan^-1\)

 \(tan^-1(14/29)\)

a = 25.76932762, ~25.77

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

By multiplying the value about one unit by the quantity of units required, one can apply the unit technique to solve a problem. The unit procedure is used to separate a single entity integer from a given many, to put it simply. One pen, or 400 rupees, would be needed to purchase 40 needle. There might be a common way to verify this. only one nation. Anything has a unique feature. Algebra, grid logic, and its laminates and reverse are all identical terms used to describe mathematical analysis.

Here,

Given : Ria purchases 19 books for £6.82 apiece.

Thus,

Total cost of book = 19 * 6.82

=> 129.58

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Step-by-step explanation:

See your image below:

Circumference of a circle = 2πr

So,

\(circumference = 2\pi \: r \\ = > circumference = 2 \times \frac{22}{7} \times \frac{63 \: cm}{2} \\ = > circumference = 2 \times \frac{11}{7} \times 63 \: cm \\ = > circumference = 2 \times 11 \times 9 \: cm \\ = > circumference = 198 \: cm\)

Answer: Therefore, the circumference of circle is 198 cm.

Step-by-step explanation:

diameter = 63 cm

radius = 63/2 = 31.5 cm

circumference = ?

circumference or perimeter of circle = 2*pi*r

= 2*(22/7)*31.5

= (44/7)*31.5

= 198 cm

The perimeter of the trapezoid ABFE and the prove that the triangle ΔABC is an isosceles are as follows;

First question;

The perimeter of the trapezoid ABFE is 100 units

Second question;

The sides AB and BC in the triangle ΔABC are congruent, therefore, triangle ΔABC is an isosceles triangle

An isosceles triangle is a triangle that has two sides that have the same lengths.

The specified parameters are;

The segment joining the midpoints of the side \(\overline{AC}\) and \(\overline{BC}\) of the equilateral triangle ΔABC = EF

EF = 2·x + 8 and AB = 7·x - 2

The midsegment theorem applied to the triangle ΔABC indicates that we get;

EF = (1/2) × AB

Therefore; 2·x + 8 = (1/2) × (7·x - 2)

(1/2) × (7·x - 2) = 2·x + 8

7·x - 2 = 2 × (2·x + 8)

7·x - 2 = 4·x + 16

7·x - 4·x = 16 + 2 = 18

3·x = 18

x = 18/3 = 6

x = 6

EF = 2·x + 8

Therefore; EF = 2 × 6 + 8 = 20

EF = 20

AB = 7·x - 2

Therefore; AB = 7 × 6 - 2 = 40

AB = 40

AB = AC = BC (Definition of an equilateral triangle)

Therefore;

AC = BC = AB = 40 (symmetric property)

The midpoints E and F, indicates that we get;

AE = CE and BF = CF

AC = AE + CE and BC = BF + CF (segment addition property)

Therefore; AC = AE + AE = 2 × AE

40 = 2 × AE

AE = 40/2 = 20

BC = 2 × BF

40 = 2 × BF

BF = 40/2 = 20

The perimeter of the trapezoid ABFE, P = AB + BF + EF + AE

P = 40 + 20 + 20 + 20 = 100

Second question

The coordinates of the vertices of the triangle are;

A(1, 2), B(-5, 3), and C(-6, -3)

The lengths of the sides of the triangle found using the distance formula are;

AB = √((-5 - 1)² + (3 - 2)²) = √(37)

BC = √((-6 - (-5))² + (-3 - 3)²) = √(37)

AC = √((-6 - 1)² + (-3 - 2)²) = √(74)

The lengths of the sides AB and BC in the triangle ΔABC are the same, therefore, the triangle ΔABC is an isosceles triangle.

Learn more on isosceles triangles here: https://brainly.com/question/2263856

#SPJ1

The area of trapezoid ABCD is 98 square units.

Based on the data given, The area of  ΔDBA  = area of  ΔADE  + area of ΔABE  = 20 + 50  = 70. So  

area of Δ DBA  = 0.5 sin DBA (AB x DB)  = 70

sin DBA = 140 / ( AB x DB)

sin DBA = sin CDB

The area of  ΔCDB  would be 0.5 sin (DBA) (DB x DC)  

The area of  ΔCDB = 0.5 (140 / [(AB x DB] ) (DB x DC)

The area of  ΔCDB = 70 (DC/AB)  = 70 ( DE /BE)

The area of ΔAEB  would be 0.5 sin AEB ( AE * BE)

The area of ΔAEB = 50  (1)

Area Δ ADE  would be 0.5 sin DEA (AE * DE)  

Area Δ ADE  = 20  (2)

Because of  angle AEB  is  supplemental to angle DEA, their sines are equal. So  

sin AEB  = sin DEA

Let rearranging (1), (2). So we will have

sin AEB  =   sin DEA

100 / [ AE * BE] = 40 / [ AE * DE ]

DE / BE  = 40/100  = 2/5

Since area of ΔCDB  equal to  70 (DE / BE) then

ΔCDB = 70 (2/5)  =  28

So...area of trapezoid ABCD  = area of ΔDBA  + area of ΔCDB  

area of trapezoid ABCD =  70 + 28 = 98  

Learn more about trapezoid here

https://brainly.com/question/1410008

#SPJ4                                      

y = 25x

the x represents gallons

Answer:

BC = 1

Step-by-step explanation:

We Know

AD = 13

AB = 6

CD = 6

BC =?

AB + BC + CD = AD

6 + BC + 6 = 13

12 + BC = 13

BC = 1

So, the answer is BC = 1

In this question, the gradual, long-term movement in time series data is referred to as temporal variation.

The correct answer is a. temporal variation. Temporal variation describes the systematic and long-term changes that occur in time series data over an extended period. It is characterized by a gradual shift or trend in the data points, indicating an underlying pattern or direction.

Temporal variation can be observed in various contexts, such as economic indicators, population growth, weather patterns, and stock market trends. It reflects the impact of factors that change over time, such as demographic shifts, technological advancements, economic cycles, or environmental conditions.

It is important to differentiate temporal variation from other types of movements in time series data. Cyclical movement refers to regular fluctuations that occur within a specific time frame, while exponential smoothing and linear regression are statistical techniques used to analyze and forecast time series data. Therefore, the correct term to describe the gradual, long-term movement in time series data is temporal variation.

Learn more about variation here:

brainly.com/question/14254277

#SPJ11

Answer:

proportional bc all of them are 1 shirt = 12.95

The measure of arc FE is 27degrees,angle m<B is 112degrees, <GHJ = <GIJ = 73⁰ , m<S = 90 degrees in the given circles

The sum of angle in the triangle DEF is 180 degrees

mFE = <D

Recall that <D+<E+<F = 180⁰

<D+63+90 = 180

<D = 180-153

<D = 27 degrees

Hence the measure of arc FE is 27degrees

6) For this circle geometry, we will use the theorem

The sum of Opposite side of a cyclic quadrilateral is 180 degrees.

A + C = 180

m<A + 101 = 180

m<A = 180-101

m<A = 79degrees

Similarly

B + D = 180

m<B + 68 = 180

m<B = 180-68

m<B = 112degrees

7) The sum of angle in a circle is 360, hence;

arcGJ+68+31+115 = 36p

arcGJ = 360 - 214

arcGJ = 146⁰

Since the angle at the centre is twice angle at the circumference, then;

<GHJ = 1/2 arcGJ

<GHJ = 1/2(146)

<GHJ = 73⁰

<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)

8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.

P + R = 180

57 + <R = 180

m<R = 180-57

m<R = 123degrees

Similarly, m<Q+m<S = 180⁰

Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)

m<S = 180 - 90

m<S = 90 degrees

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

Answer:

B. 8.905, 8.007, 7.903, 7.093  :)

Step-by-step explanation:

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:f < 0 \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: 33 + 6f < 33\)

[ subtract 33 on both sides ]

\(\qquad \tt \rightarrow \: 33 - 33+ 6f < 33 - 33\)

\(\qquad \tt \rightarrow \: 6f < 0\)

\(\qquad \tt \rightarrow \: f < 0\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

To know more about ounces:

brainly.com/question/2853335

#SPJ4