222+209-789-678+1000​

The direct relationship of the variables is y = (t^2 - 6t)/(t - 5) * x

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

x = t - 5 and y = t^2 - 6t

The direct relationship between x and y is calculated using

Y = (y/x) * X

Substitute the known values in the above equation, so, we have the following representation

y = (t^2 - 6t)/(t - 5) * x

Hence, the direct relationship is y = (t^2 - 6t)/(t - 5) * x

Read more about direct relationship at

https://brainly.com/question/6499629

#SPJ1

Answer:

36 more elves

Step-by-step explanation:

90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.

0.25 * 144 = 36

36 more elves can fit.

Answer:

36 elves

Step-by-step explanation:

Hope this helps

The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.

The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:

1. Margin of Error:

The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).

Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).

The margin of error (E) can be calculated using the following formula:

E = critical value * (standard deviation / sqrt(n))

However, since we don't have the standard deviation, we can't compute the margin of error in this case.

2. Confidence Interval:

The confidence interval represents a range of values within which the true population parameter is likely to fall.

The confidence interval can be calculated using the formula:

CI = x ± (critical value * standard deviation / sqrt(n))

The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.

To know more about Confidence level.

https://brainly.com/question/20309162

#SPJ11

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

For more such questions on estimated value

https://brainly.com/question/27898355

#SPJ8

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ1

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

Learn more about cylinder from the given link

https://brainly.com/question/27440983

#SPJ1

Answer:

side 1^2 + side 2 ^2 = hypotenuse ^ 2

18^2 + 20^2 = hypotenuse^2

324 + 400 = 724

hypotenuse^2 = 724

hypotenuse = 26.9072480941474

hypotenuse = 26.9

Step-by-step explanation:

Answer:

The answer are

B and C

Step-by-step explanation:

r=d/2=12/2=6

r=16/2=8

Circumference=2pir

C=2×6pi

C=12pi

C=2pir

C=2×8pi

C=16pi

Answer:

I think c but I'm not sure

Answer:

C: (-3,6)

Step-by-step explanation:

add both equations

5x+2x+2y-2y=-15+(-6)

7x=-21

x=-3

input x=3 into any equation in system and solve for y

2(3)-2y=-6

-2y=-12

y=6

solution: (-3, 6)

Answer:

10+m=58

Step-by-step explanation:

The sum- meaning addition, so 10+Mai's score is 58

We replace the words "Mia's score" with the variable "m"

so we get 10+m is 58

the word "is" can be replaced with "=" hence-

10+m=58

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Answer

a = 200 + 0.5 (200) = $210

Step-by-step explanation:

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

for more such questions on logarithmic properties

https://brainly.com/question/30226560

#SPJ8

By using the concept of ratio, it can be obtained that

The ratio of teachers to students at happy hill school is 2:29, which means that for every 2 teachers there are 29 students

There are 7 doctors and 27 nurses at happy hill hospital. The ratio of doctors to nurses is, therefore, 7: 27

What is ratio?

Ratio of two numbers compares two numbers with the same unit and  determines how much one  number is bigger than the other.

The first number is called antecedant and the second number is called consequent

The ratio of teachers to students at happy hill school is 2:29, which means that for every 2 teachers there are 29 students

There are 7 doctors and 27 nurses at happy hill hospital. The ratio of doctors to nurses is, therefore, 7: 27

To learn more about ratio, refer to the link-

https://brainly.com/question/2328454

#SPJ1

The sine relation is given by the length of the opposite leg to the angle over the length of the hypotenuse.

So, for the given triangle, we have:

Therefore the value of sin A is 20/29.

Answer:

5

7

9

11

13

Step-by-step explanation:

u just have to plot the x values into the x variable if that makes sense

here is an exampla

Answer:

3400 ft-lbs

Step-by-step explanation:

The Workdone in lifting the rope :

Number of feet = x

Distance = 25 feets

2.5x + 35

Taking the integral :

∫2.5x + 35 dx at x = 40

Integrating, we have :

1/2(2.5x² ) + 35x at x = 40

1/2(2.5(40)²) + 35(40)

1/2(4000) + 1400

2000 + 1400

= 3400

Hence, Workdone in lifting the rope = 3400 ft-lbs

Answer:

c

Step-by-step explanation:

with the knowledge that we are comparing the x position we can get the equation |x_1-x_2|=4, then just do the maths

(4,2) (8,2) points are separated by a distance of 4 units.

The 2D distance formula gives the shortest distance between two points in a two-dimensional plane.

Distance Formula =  \(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }\)

Given

Distance of 4 units

Option A:

\((x_{1} ,y_{1})=(7,7)\)

\((x_{2} ,y_{2})=(1,7)\)

Distance = \(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }\)

= \(\sqrt{(1-7)^{2}+(7-7)^{2} } =6\)

Option B:

\((x_{1} ,y_{1})=(3,3)\)

\((x_{2} ,y_{2})=(1,3)\)

Distance = \(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }\)

= \(\sqrt{(1-3)^{2}+(3-3)^{2} } =2\)

Option C:

\((x_{1} ,y_{1})=(4,2)\)

\((x_{2} ,y_{2})=(8,2)\)

Distance = \(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }\)

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

Option C is correct.

Option D:

\((x_{1} ,y_{1})=(2,4)\)

\((x_{2} ,y_{2})=(5,4)\)

Distance = \(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }\)

= \(\sqrt{(5-2)^{2}+(4-4)^{2} } =3\)

Hence, (4,2) (8,2) points are separated by a distance of 4 units.

Find out more information about distance formula here

https://brainly.com/question/15958176

#SPJ3

Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

Answer:

x = 15

Step-by-step explanation:

To solve this question and find value of x, we need to use Euclidean relation.

According this relation:

\( {x}^{2} = 9 \times 25\)

\( {x}^{2} = 225\)

Find the root of both expressions,

x = 15

Answer:

5/96

Step-by-step explanation:

Fraction used to buy new books = 5/8

Amount for book money = 1/12 of amount of adult novels

Part used for adult movies = 1/12 * 5/8

Part used for adult movies = 5/96

Hence the  part of the budget that went towards buying young adult novels is 5/96

Answer: 0.3

Step-by-step explanation:

\(\frac{3}{10}\) = 0.3

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

48.8m

Step-by-step explanation:

Formula for square area = \(a^{2}\) = 148.84 \(m^{2}\)

=> a = \(\sqrt{148.84}\) = 12.2

Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m

The perimeter of the given square is 48.8 m.

The perimeter of any closed geometrical object is defined as the distance around that object. The perimeter of a square is the distance covered by its four sides.  Perimeter surrounds or outlines the shape in a two-dimensional plane.

Since all the sides of a square are equal, therefore, the perimeter of square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as m, cm, in, ft, etc.

According to question,

Given area of a square = 148.84 m²

We all know that,

Area of a square = (Side)²

⇒ (Side)² = 148.84 m²

⇒ Side = √(148.84 m²)

⇒ Side = 12.2 m

Therefore, perimeter of the given square = 4 × Side

                                                                     = 4 × 12.2

                                                                     = 48.8 m

Hence the perimeter of a square = 48.8

To learn more on perimeter of a square click :

https://brainly.com/question/5602071

#SPJ2

Answer:

(See explanation for all answers)

Step-by-step explanation:

4.

A. 3/16

It says in the chart that 4 text messages have a probability of 3/16.

5.

D. 13/16

You just have to add up all the probabilities under four.

6.

B. 5/8

At least two messages means that you need to add up all the probabilities 2 and above.

Hope this helps!

-Luna

\( \sf{\blue{«} \: \pink{ \large{ \underline{A\orange{N} \red{S} \green{W} \purple{E} \pink{{R}}}}}}\)

Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

We can use the confidence interval formula to estimate how much the drug will lower a typical patient's systolic blood pressure with 80% confidence.

The confidence interval formula is:

Sample mean ± (t-score × standard error)

Where the t-score is calculated from the t-distribution using the number of degrees of freedom (n-1) and the confidence level (80%).

Using the given information, we can calculate the t-score as follows:

t-score = 1.711 (for 80% confidence level and 28 degrees of freedom)

Therefore, the confidence interval is:

55.9 ± (1.711 × (7.4/√29))

= 55.9 ± 4.125

So, with 80% confidence, we can say that the drug will lower a typical patient's systolic blood pressure by between 51.8 and 60.0.

Learn more about confidence interval here

https://brainly.com/question/24131141

#SPJ4

Situation which illustrates best the concept of absolute advantage is: Option A - A German factory can build more sports cars than foreign factories.

Absolute advantage is the potential of an individual,  a company, or a  country to produce a higher quantity of output than its competitors while using the same inputs. It means an institution with absolute advantage has more efficiency in producing a particular commodity than its rivals. It utilizes lower marginal cost (materials and labor), making its output much cheaper than others.

A factory in German has an absolute advantage because it can produce more sports car  than foreign countries. Absolute advantage makes the factory more competitive in the market than its rivals.

Therefore, the correct answer is option A.

Learn more about absolute advantage here :-

https://brainly.com/question/27956614

#SPJ4