it took Otis 6 hours to travel to the Grand Canyon. Along the way he took 18 min. to get gasoline and 53 min. to eat. How much time did Otis spend driving

Answer:

it's ax+b form answer is Q(x-2)=4x-6

Step-by-step explanation:

ax+b=Q(x),Q(x-2)=a(x-2)+2

Q(3x)=a(3x)+b=12x+2, 3a=12 =>a=4,b=2

the original q of x is 4x+2

Q of x-2 =4(x-2)+2=4x-8+2=4x-6

Answer:

Step-by-step explanation:

Answer:

-1.88cm/min

Step-by-step explanation:

Given

dh/dt = 1.5cm/min

dA/dt = 3.5cm²/min

Height h = 10cm

Area A = 86cm²

Required

db/dt

b is the base

h is the height.

Area of a triangle A = 1/2bh

dA/dt = dA/db•db/dt + dA/dh •dh/dt

dA/db = h/2 = 10/2 = 5cm

Get the base

86 = 1/2(10)b

5b = 86

b = 17.2cm

dA/ dh = 1/2b = 1/2(17.2)

dA/dh = 8.6cm

.substitute given values into the formula above;

dA/dt = dA/db•db/dt + dA/dh •dh/dt

3.5 = 5 db/dt + 8.6(1.5)

3.5 = 5 db/dt + 12.9

5 db/dt = 3.5-12.9

5 db/dt = -9.4

db/dt = -9.4/5

db/dt = -1.88cm/min

Hence the base is changing at -1.88cm/min

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Answer:

A

Step-by-step explanation:

m - 11 = 43

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ1

The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

For more such answers on volume

https://brainly.com/question/463363

#SPJ8

Answer:

200 step by step

Step-by-step explanation:

The statement which is true about the quadrilateral is D. Some rhombuses have four right angles.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

Rectangles, squares, trapezium, parallelogram, rhombus are all quadrilaterals.

A. All squares are rectangles but all rectangles are not squares, since for squares, all sides need to be equal.

But for a rectangle, opposite sides only need to be equal.

B. A rhombus has all the sides equal and opposite sides are parallel.

So there are 2 pairs of parallel sides.

C. A trapezoid can have only one pair of sides parallel.

D. Some rhombuses have four right angles.

This is true since square is a rhombus and it has 4 right angles.

Hence the true option is D.

Learn more about Quadrilaterals here :

https://brainly.com/question/29934440

#SPJ1

Answer:

x=36

y=54

Step-by-step explanation:

tan(x) = 15/21

x=tan^-1(15/21)

x=35.537677792

x~36

To solve for y, either repeat the same process:

tan(y)=21/15

y=tan^-1(21/15)

y=54.462322208

y~=54

OR

180-90-x=y

180-90-36=54

y=54

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Answer:

8000 inv^3

Step-by-step explanation:

We will find the probability of getting each color of marble, and we will see that getting red and blue is equally likely, while getting green is less likely.

If we draw a marble at random from the box, all of them will have the same probability of being drawn.

Then the probability of getting a given color is given by the quotient between the number of marbles of that color and the total number of marbles.

Probability of getting red:

P = 11/25 =  0.44  This is really close to 50%, so this is equally likely.

Probability of getting blue:

P = 11/25 =  0.44  This is really close to 50%, so this is equally likely.

Probability of getting green:

P = 3/25 = 0.12 This is really close to 0%, so this is less likely.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

The video had played 104 frames when the time was equal to -3 2/5 seconds.

We can start by finding how many frames were played during the time that the timer did not start counting. Since the video plays 25 frames per second, the number of frames played during this time is 25 frames/second × several seconds = 190 frames.

Next, we need to convert the time of -3 2/5 seconds to frames. We can do this by multiplying the time by the frame rate of 25 frames/second:

-3 2/5 seconds × 25 frames/second = -86 frames

Note that the negative sign indicates that the timer is behind the actual playback time.

Finally, we add the number of frames played before the timer started counting to the number of frames that had played by the time the timer was at -3 2/5 seconds:

190 frames + (-86 frames) = 104 frames

To learn more about frames click on,

https://brainly.com/question/22687870

#SPJ4

Answer:

7.55 inches

Step-by-step explanation:

Add the two values together:

0.75 + 6.8 = 7.55

The combined length of Jackie's ribbons is 7.55 inches!

Answer:

k=7x^(2)-4x^(2)y^(2)-3xy+3

          x^(2)y^(2)-xy

pretend the underline is like the line for a fraction/ division

Step-by-step explanation:

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.

Learn more about variable here

brainly.com/question/29583350

#SPJ4

Answer:

here you go! i hope i could help :)

Step-by-step explanation:

Answer: 1/2 or 50%

Step-by-step explanation:        

A dice has 6 numbers; 1,2,3,4,5,6

3 of which are odd numbers

which means:

p(event)= number of favorable outcomes/ number of possible outcomes

p(odd)=3/6

3/6=1/2 or 50%

Answer:

1

Step-by-step explanation:

See attached image for explanation.

Answer:

Choice C

Step-by-step explanation:

Appropriate Question:

Solution:

Rewrite csc x as

Solving through the laws:

Canceling them;we have

Choice C is accurate.

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

Learn more about Sequence here:

https://brainly.com/question/30262438

#SPJ1

Answer:

$1.44

Step-by-step explanation:

1.80x20%

Answer:

$ 1.44

Step-by-step explanation:

Multiply 1.80 and 20%

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

For more such question on cost. visit :

https://brainly.com/question/2292799

#SPJ8

Answer:

240

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

Use Pythagorean Theorem \(20^{2} = 12^{2} +x^{2}\)

Solve for x and you get 16.

To prove congruence using SAS Theorem, you must understand that pairs of two angles are congruent as well as the pair of sides that are next to one of the specified angles.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

All triangles are contained in a single plane if all geometry is on the Euclidean plane, but in higher-dimensional Euclidean spaces, this is no longer the case.

The definition of the terminology used to classify triangles can be found on the first page of Euclid's Elements, which dates back more than two thousand years. In modern classification, names are either directly transliterated from Euclid's Greek or translated from Latin.

Hence, To prove congruence using S Theorem, you must understand that pairs of two angles are congruent as well as the pair of sides that are next to one of the specified angles.

learn more about triangle click here:

brainly.com/question/1058720

#SPJ4

a) The speed of Sam on weekdays from home to work is 50 km/hr.

b) The speed of Sam on fridays from home to work is 50 km/hr.

What is speed?

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The distance between Sam's work place and home is D = 25 km

The time it takes for Sam to cover the distance on weekdays T1 = 30 minutes = 1/2 hours

The time it takes for Sam to cover the distance on fridays T2 = 20 minutes = 1/3 hours.

The formula to calculate the speed is -

Speed = Distance / Time

The speed of Sam on weekdays is -

Speed = D / T1

Substitute the values in the equation -

Speed = 25 / (1/2)

Speed = 25 × 2

Speed = 50 km/hr

The speed of Sam on fridays is -

Speed = D / T2

Substitute the values in the equation -

Speed = 25 / (1/3)

Speed = 25 × 3

Speed = 75 km/hr

Therefore, Sam's speed is 50 km/hr and 75 km/hr.

To learn more about speed from the given link

https://brainly.com/question/6504879

#SPJ1

Every weekday, from Monday to Thursday, Sam drives the distance of 25km between his home and work in 30 minutes. However, on Fridays it only takes him 20 minutes to cover the same distance.

Answers should be in kilometres/hour

a) Calculate his speed on weekdays, except on Fridays.

b) Calculate his speed only on Fridays.