What is the ratio of 98 to 63? please answer and i will mark the first one to say as the brainliest

Answer:

x = 80

Step-by-step explanation:

4x - 8 = 3x + 72

4x - 3x = 72 + 8

x = 80

The graph of the equation y = \(2^{x}\) - 5 is obtained by shifting the graph of

y =\(2^{x}\)  downside by 5 units.

To find a graph of equation y = \(2^{x}\) - 5, we can start with the reference of the parent function y = \(2^{x}\) and also apply the necessary transformations.  Initiating with the graph of the parent function y =\(2^{x}\) - 5.

This is an exponential function that passes through the point( 0, 1) and has a positive pitch. Apply the transformation -5 units over. This means we shift the entire graph over by 5 units. The point( 0, 1) will now come( 0,-4).thus, the graph of the equation y =  \(2^{x}\)- 5 is attained by shifting the graph of y =  \(2^{x}\) downcast by 5 units. The factual shape of the graph will act as that of the parent exponential function, but it'll be shifted over by 5 units.

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The correct question is given below-

Graph the equation shown below by transforming the given graph of the parent function. y= \(2^{x}\) obtain  y=\(2^{x}\)-5.

Given that plate A is continental and plate B is oceanic, the eastward movement of the plate margins, plate A and plate B are both moving eastward while plate C remains stationary or moves at a slower rate.

To represent this on the map, we can use symbols, arrows, and labels as follows:

Plate A (continental plate): Draw an arrow pointing eastward with an appropriate symbol to represent a continental plate. Label it as "Plate A."

Plate B (oceanic plate): Draw an arrow pointing eastward with an appropriate symbol to represent an oceanic plate. Label it as "Plate B."

Plate C (continental plate): Draw a dashed line to represent the plate margin of plate C, indicating that it is stationary or moving at a slower rate compared to plates A and B.

After 25 years, considering the rates of plate motion given, the triple junction will have moved in the following direction:

Plate A will have moved 2 cm/yr (eastward) for 25 years, resulting in a total eastward movement of 50 cm.

Plate B will have moved 4 cm/yr (eastward) for 25 years, resulting in a total eastward movement of 100 cm.

Based on these movements, the triple junction will be located 50 cm east and 100 cm east of its current position with respect to observer X.

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Answer: 19.5

Step-by-step explanation:

obtuse + acute = 180

131 + t = 180

t = 49 degrees for the top angle

49 + 61 + 4x-8 = 180 degrees in a triangle

110 + 4x - 8 = 180

102 + 4x = 180

4x = 78

x = 19.5

Answer:

x = 19.5

Step-by-step explanation:

The interior angles of a triangle will ALWAYS have a sum of 180°

By using the fact that the sum of the interior angles of a triangle must be 180°, we will get:

Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write:

m∠B + m∠C + m∠D = 180°

Then:

13x - 35 + 5x - 19 + 2x + 14 =180

20x -40 = 180

20x = 180 + 40

20x = 220

x = 220/20

x = 11

Now that we know the value of x, we can find the measures of the angles.

m∠B = (13x- 35)° = (13*11 - 35)° = 108°

m∠B = (5x - 19)° = (5*11 - 19)° = 36°

m∠D = (2x + 14)° = (2*11 + 14)° = 36°

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Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate y

5y = 20

y = 4

Step 6: Find x

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

Answer:

(23,4)

Step-by-step explanation:

x-5y=3

 +5y=+5y

    x=3+5y

-- Plug that into X for the other Equation

2(3+5y)-5y=26

Solve for y

2(3+5y)-5y=26

Distribute the 2

6+10y-5y=26

Simplify

6+5y=26

-6     =-6

5y=20

(divide by 5)

y=4

plug 4 in the either equation and solve for x

x-5(4)=3

x-20=3

+20=*20

X=23

The dimensions of his model of the train station would be

3 inches by 6 inches by 4 inches.

Scale factor is a dimensionless constant value that is used to compare the size of two objects. It is denoted by [K]. Mathematically -

K = O[1]/O[2]

Given is Lewis who is building a train layout and wants to build a model of the train station in his city. He wants it to be exactly to scale to match his engine. The engine measures 8 inches long and is the model of a train that is 80 feet long. The station in his city is 30 feet by 60 feet by 40 feet.

Now, it is given here that Lewis assumed a dilation model in which 80 feet is 8 inches long. Then -

80 feet = 8 inches

So one feet will be -

1 ft = 8/80 = 1/10 inches

Now, the dimensions of station in Lewis native city is 30 feet by 60 feet by 40 feet.

Now, dilating the dimensions with a scale factor of 1/10 inches, we get -

30 feet = 30 x 1 feet = 30 x 1/10 = 3 inches

60 feet = 60 x 1 feet = 60 x 1/10 = 6 inches

40 feet = 40 x 1 feet = 40 x 1/10 = 4 inches

Therefore, the dimensions of his model of the train station would be

3 inches by 6 inches by 4 inches.

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The fewest number of posts required to fence an area of 36 meters by 60 meters is 12 posts.

According the information given by the statement, the number of posts (\(n\)) is determined by the following formula:

\(n = 1 + \frac{2\cdot x_{1}+x_{2}}{d} \) (1)

Where:

The fewest number of posts is represented by the minimum \(n\) associated to a combination of \(x_{1}\) and \(x_{2}\).

\(n = 1 + \frac{2\cdot (36\,m)+60\,m}{12\,m} \)

\(n = 12\)

\(n = 1 + \frac{2\cdot (60\,m)+36\,m}{12\,m} \)

\(n = 14\)

Hence, the fewest number of posts required to fence an area of 36 meters by 60 meters is 12 posts. \(\blacksquare\)

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Answer:

The difference of 0.5 is not significant because the re-randomizations show that it is within the range of what could happen by chance.

Step-by-step explanation:

For the means which are given as 5.375 and 4.875 respectively, for a difference of 0.5.

The best conclusion for Jorge to make based on the data is that - The difference of 0.5 is not significant because the re-randomizations show that it is within the range of what could happen by chance

The 95% confidence interval for the slope of the population regression line relating BMI to soda consumption is 0.07291 + 2.048(0.03863). The correct option is (A) for Q15 and option (c) for Q16.

For question 15:

The 95% confidence interval for the slope of the population regression line relating BMI to soda consumption can be calculated using the formula:

b ± t*(SE(b))

From the provided information, the slope (b) is 0.07291 and the standard error (SE(b)) is 0.03863.

We need to find the critical value of t for a 95% confidence interval with (n-2) degrees of freedom, where n is the sample size. In this case, the sample size is 30, so the degrees of freedom would be 30-2 = 28.

Using a t-table or statistical software, the critical value of t for a 95% confidence interval with 28 degrees of freedom is approximately 2.048.

Now we can calculate the 95% confidence interval:

0.07291 ± 2.048 * 0.03863

The correct answer is (a) 0.07291 + 2.048(0.03863).

For question 16:

The correct interpretation of "95% confidence" is (c) The probability that the true slope of the population regression line for the relationship between BMI and soda is in the interval (a, b) is 0.95.

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Answer:

-8/7/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5 2/3 +-3 1/9

-79/9 or - 8 7/9

The length of side BC, |BC|, is 2 units. The correct option is C. 2 units

From the question, we are to determine the length of side BC

First, we will determine the length of side BD

From Pythagorean theorem, we can write that

|BD|² = |AB|² + |AD|²

From the given information,

|AB| = 1

|AD| = 1

Thus,

|BD|² = 1² + 1²

|BD|² = 1 + 1

|BD|² = 2

|BD| = √2

Also, we can write that

|BC|² = |BD|² + |DC|²

From the given information,

|BD| = |DC|

Thus,

|BC|² = (√2)² + (√2)²

|BC|² = 2 + 2

|BC|² = 4

|BC| = √4

|BC| = 2

Hence, side BC is 2 units

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Answer:

\( C = \dfrac{5}{9}(F - 32) \)

Step-by-step explanation:

\( F = \dfrac{9}{5}C + 32 \)

Switch sides to have C on the left side.

\( \dfrac{9}{5}C + 32 = F \)

Subtract 32 from both sides.

\( \dfrac{9}{5}C = F - 32 \)

Multiply both sides by 5/9.

\( \dfrac{5}{9} \times \dfrac{9}{5}C = \dfrac{5}{9} \times (F - 32) \)

\( C = \dfrac{5}{9}(F - 32) \)

The information needed through Email from Alyssa to Stuart to create a personalized budget is:

What is Personalized Budget?

A personal budget, or household budget, simply tracks a household’s money in versus money out. Though a budget can be used to help an individual or family spend less and save more, it is, at its most basic, a planning and tracking tool.

Hello! It was so great catching up with you at the supermarket! You

mentioned that you might be able to help me create a personalized budget.

I am currently employed as a director at a day care center on the corner of 1st and Main Street. My birthday is on June 3. My largest expense is my mortgage payment of $1,200 per month. I picked a house in this neighborhood because it is close to work. Last year, my annual salary was $40 030. Please let me know if you can help!

Thank you,

Alyssa Palmer

Thus, from the above letter, Stuart will need the following;

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Answer:

x=3

Step-by-step explanation:

Because the line lies on x =3

Answer:

x=3

Step-by-step explanation:

This is a vertical line ( up and down)

Vertical lines are of the form x=

x=3

Answer: Answer is 24 though

Answer:

24 weeks of lessons

Step-by-step explanation:

use y = mx + b

y = total pieces Colin can sing = 50

m = pieces learned each week of lessons = 2

x = number of weeks = ?

b = pieces colin knew before lessons = 2

50 = 2x + 2              (subtract 2 from both sides)

48 = 2x                     (divide both sides by 2)

x = 24 weeks

Answer:

D .8

Step-by-step explanation:

hypotenuse (h) = 10

base (b) = 6

perpendicular (p) = a= ?

We know by using Pythagoras theorem we get

p = √ h² - b²

a = √ 10² - 6²

a = √ 64

a = 8

Hope it will help :)

The temperature of the liquid at 3PM will be -7.5 °C

The initial temperature of the liquid at 9 AM  = 0°C

Given that the temperature changes by -5/4 °C each hour.

That is the rate of change of temperature = -5/4 °C

We have to find the temperature of the liquid at 3 PM.

Let x denote the number of hours.

Then the temperature after x hours, t = 0 + ( -5/4)x = -(5/4)x is the linear equation modelling this set up.

So from 9 AM to 3PM, the number of hours =  6 hours

Put x = 6 .

Then, t = (-5/4) x 6

            = -7.5

Therefore, the temperature of the liquid at 3 PM = -7.5°C

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Answer:

y = -1x + 2

Step-by-step explanation:

Answer:

The TSA of a cylinder is equal to 2πr2 + 2πrh, where r is the radius and h is the height.

In this case, the TSA is equal to 2π(17 cm)2 + 2π(17 cm)(5 cm) = 2π(289 cm2) + 2π(85 cm2) = 2π(374 cm2).

Answer:

approximately 2349.842cm^2

Step-by-step explanation:

the formula for TSA of the cylinder is 2pi r(r+h)

(I'm taking the value of pi to be 3.1415)

2(3.1415)(17)(17+5)

=2,349.842cm^2 and that's the answer

Answer:

It has negative run, between two points so the slope is negative. the y intercept if 4. y=-2x+4

Answer:

A.

Step-by-step explanation:

Get the two points first.

(2, 0) and (0, 4)

The slope is -2

y = -2x + b

y = -2x + 4

Answer:

The snail will reach the top of the coconut in 18 hours.

Step-by-step explanation:

If the snail will climb 2 meters in 1 hour but it will slip down one meter for every 2 meters climbed, then the distance traveled will be:

\( d = 2 m - 1 m = 1 m \)                                        

Since in 1 hour, it climbs 2 meters minus 1 meter, the time in which the snail will reach the top is:

\( t = \frac{1 h}{1 m}*18 m = 18 h \)      

Therefore, the snail will reach the top of the coconut in 18 hours.

I hope it helps you!                                          

If "f" is function with derivative as f'(x) = √(x³ + 1), then length of graph of y = f(x) from x = 0 to x = 1.5 is (b) 2.497.

To find the length of the graph of y = f(x) from x = 0 to x = 1.5, we use the arc-length formula for a function y = f(x):

Length = ∫ᵇₐ√(1 + [f'(x)]²) dx,

Given the derivative : f'(x) = √(x³ + 1), we substitute it into the arc-length formula:

Length = \(\int\limits^{1.5}_{0}\) √(1 + (√(x³ + 1))²) dx,

Simplifying the expression inside the square root:

We get,

Length = \(\int\limits^{1.5}_{0}\) √(1 + x³ + 1) dx

= \(\int\limits^{1.5}_{0}\)√(x³ + 2) dx

= 2.497.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Let f be a function with derivative given by f'(x) = √(x³ + 1). What is the length of the graph of y = f(x) from x = 0 to x = 1.5?

(a) 4.266

(b) 2.497

(c) 2.278

(d) 1.976

Starting with the least likely event, the chances of a politician fulfilling all his or her campaign promises can be quite low due to the complexities of politics and the potential for unforeseen circumstances.

Next, while full moons are relatively common, they occur approximately once a month, making it more likely than the politician's scenario but less likely than the other events.

Rolling a die and getting a 6 has a higher likelihood as there is a 1 in 6 chance of rolling a 6 on a fair six-sided die. The safe arrival of a person in New York City from Chicago is more probable than the previous events but still has an element of uncertainty regarding the fate of their luggage.

Randomly selecting an ace from a regular deck of 52 playing cards has a higher probability compared to the previous events, as there are four aces in a deck. The likelihood increases further when randomly selecting the queen of hearts, which is only one specific card out of the 52-card deck.

Finally, selecting a black card from a regular deck has the highest probability among the listed events since there are 26 black cards in the deck, including all the clubs and spades.

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Answer:

Step-by-step explanation:

The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.

The whole journey took him 1hr.

Let S denotes the average speed (in km/hr) for the first 40 km.

Hence we get the following relation,

40/S + (90 - 40)/(S + 20) = 1

or 50/(S + 20) = 1 - 40/S = (S - 40)/S

or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0

or S = 80 (km/hr) [Ans]

[S cannot be negative value]

Answer:

To find a line of symmetry, look for two halves of the E that are mirror images of each other. The bottom half of E is the mirror image of the top half. So, the horizontal line that passes through the middle of E is a line of symmetry.

Answer: (7,-6)

Step-by-step explanation:

9-x = 2  --> x=7

-8-y = -2  --> y = -6

B = (7,-6)