Mark is driving at a speed of 72 mph. How many hours does it take him to drive 468 miles? Express your answer as a number to the nearest tenth.

Answers

Answer 1

Answer:

It would take him 6.5 hours, but rounded it would take 7 hours I think.

Step-by-step explanation:


Related Questions

A maritime flag is shown. What is the area of the shaded part of the flag?

A maritime flag is shown. What is the area of the shaded part of the flag?

Answers

Answer:

Area of shaded part = 72 in²

Step-by-step explanation:

Given:

Length of shaded part = 6 + 6 = 12 in

Width of shaded part = 4 + 4 = 8 in

Height of triangle = 4 in

Find:

Area of shaded part

Computation:

Area of shaded part = Area of shaded rectangle - Area of triangle

Area of shaded part = (12 × 8) - (1/2)(4)(12)

Area of shaded part = 96 - 24

Area of shaded part = 72 in²

Which expression is a sixth root of -1 + i√3?

A.6rt2(cos(90°) + isin(90°))
B. 6rt2 (cos(60°) + isin(60°))
C. 6rt2 (cos(300°) + sin(300°))
D. 6rt2 (cos(20°) + isin(20°))
Pls help

Which expression is a sixth root of -1 + i3?A.6rt2(cos(90) + isin(90))B. 6rt2 (cos(60) + isin(60))C.

Answers

\(-1 + i\sqrt3\) lies in the second quadrant of the complex plane, so its argument is

\(\arg(-1 + i\sqrt3) = \pi - \tan^{-1}\left(-\sqrt3\right) = \dfrac{2\pi}3 = 120^\circ\)

Then any sixth root of \(-1+i\sqrt3\) will have an argument of

\(\dfrac{120^\circ + 360^\circ n}6\)

where \(n\in\{0,1,2,3,4,5\}\).

When \(n=0\), we have

\(\dfrac{120^\circ}6 = 20^\circ\)

so D is a sixth root.

The other sixth roots are separated by arguments of 60 degrees (80, 140, 200, 260, and 320).

. A cocoa blender makes a profit of 30% be selling a super mix cocoa at Kshs.650 for 250 grams tin. He makes a super mix cocoa by blending two varieties of cocoa., A and which cost him Kshs. 1 800 and Kshs.2 400 per kg respectively. B In what proportion the cocoa types A and B mixed? were (3 marks)​

Answers

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Estimating percents 19% of 72

Pleas explain how because I don’t understand this

Answers

Answer:

13.68

Step-by-step explanation:

72 * 0.19 = 13.68

19% can be converted to 19/100 or .19 to change out of a percentage. .19 is the multiplied by 72 to find 19% of 72.

For example

a fourth of something is the same as 25%.

if you want to find 1/4 of 8 you would multiply 8 by 1/4.

It is a similar concept with percentages.

rachel has 4 notebooks.Her mother gives her n notebooks.she wants to use the same number of notebooks in each of her 7 classes. which expression shows the number of notebooks rachel will use for each class?
A.n+4/7
B.4÷7/n
C.4n+7
D.4+n+7​

Answers

Answer:

i think its b

Step-by-step explanation:

Select all of the linear transformations from ℝ3 to ℝ3 that are invertible. There may be more than one correct answer.A. Identity transformationB. Projection onto the xz-planeC. Reflection in the y-axisD. Rotation about the x-axisE. Dilation by a factor of 6F. Projection onto the z-axis

Answers

A linear transformation is a function from one vector space to another that preserves each vector space's underlying (linear) structure. A linear transformation can also be referred to as a linear operator or map.

The correct answers are A, D, and E.

A linear transformation from ℝ3 to ℝ3 is invertible if and only if it is bijective, meaning it is both one-to-one and onto.

The following linear transformations are invertible:

A. Identity transformation: The identity transformation maps every vector to itself and is one-to-one, so it is invertible.

D. Rotation about the x-axis: A rotation about the x-axis is a bijective linear transformation that maps each point in ℝ3 to another point in ℝ3 in a one-to-one manner, so it is invertible.

E. Dilation by a factor of 6: A dilation by a factor of 6 scales every vector by 6, and the scaling factor is nonzero, so this transformation is bijective and invertible.

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ASAP!!! Answer the following include all steps

ASAP!!! Answer the following include all steps

Answers

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Formulate a definition of the integral b to a f(x) dx for a function continuous on [a,c) and on (c,b] and unbounded in every interval containing c. Supply an example.

Answers

The integral of a function that is continuous on [a, c) and on (c, b], but unbounded in every interval containing c.

The integral of a function f(x) over the interval [a, b], denoted as ∫ab f(x) dx, can be described as the maximum sum of the areas of rectangles beneath the f(x) graph as the rectangles' widths get closer to zero.

The integral is not defined throughout the full interval [a, b] in the situation of a function that is continuous on [a, c] and on (c, b), but unbounded in every interval including c.

In this case, the integral can only be defined over the intervals [a, c) and (c, b].

For example,

consider the function f(x) = 1/x.

This function is continuous on (0, 1) and on (1, ∞), but is unbounded in the interval [0, 1].

The integral of this function over the interval (0, 1) can be calculated as ∫01 (1/x) dx = -ln(x)|01 = -ln(1) + ln(0) = -∞.

Similarly, the integral over the interval (1, ∞) can be calculated as ∫1∞ (1/x) dx = ∞.

Therefore the integral of a function that is continuous on [a, c) and on (c, b], but unbounded in every interval containing c.

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88 student said they watch TV everyday. This number represents 80% of the students body. What is the total number of students in the student body? And i need you to give me the part,whole,and percent

Answers

The total number of students in the student body is 110.

How many students are in the student body?

Percentage is the ratio of an amount expressed as a number out of 100. The sign that is used to represent percentage is %.

In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.

In order to determine the total number of students in the student body, divide the number of students that watch TV everyday by the given percentage.

Number of students in the student body = number of students that watch TV everyday / percentage

88 / 80%

= 88 / 0.8 = 110

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A radio costing rs 6000 is depreciated per years and 2 year later its price becomes Rs 5415 find the rate of depreciation​

Answers

Answer:

pls write

Step-by-step explanation:

ididruururejejjeie

Add 10% of 300 to 50% of 20

Answers

Answer:

40

Step-by-step explanation:

10% of 300 = 300/10 = 30

50% of 20 = 20/2 = 10

30+10=40

Which answer choice best represents 3/15?

Select the Hint button to view a hint. You will get 14 points.
A: 5/6 5
B: 5/1 5
C: 6/1 5
D: 6/6 5

Answers

The equivalent fraction for the given fraction is 1/5.

What is an equivalent fraction?

Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.

The given fraction is 3/15.

The equivalent fraction is 3/15 =1/5

Therefore, the equivalent fraction for the given fraction is 1/5.

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Blueprints for the model of a new garage have a scale factor of 1 inch = 4 feet. If the garage is to be 18 feet long, what is the length of the model?

Answers

Using the scale factor of 1 inch = 4 feet, the length of the model is: 4.5 inches.

How to Apply the Scale Factor?

The scale factor relates the actual size in real life of an object to the size on paper or size of its model.

We are given the scale factor of 1 inch = 4 feet, this means that every 1 inch of the model represents 4 feet in real life.

If the garage is 18 feet long, use the scale factor to find, x, the length of the model.

1 inch = 4 feet

x = 18 feet

x = 18/4

x = 9/2

x = 4.5 inches

Therefore, using the scale factor of 1 inch = 4 feet, the length of the model is: 4.5 inches.

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In the last 24 days, it rained 18 days. What is the ratio of rainy days to total days written as a percent?

Answers

The ratio of rainy days to total days written as a percent will be 75%.

How to illustrate the ratio?

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Ratio is used to compare two or more numbers. It is also used to indicate how big or small a quantity is when it is compared to another. It should be noted that in a ratio, two quantities are compared using division.

Since in the last 24 days, it rained 18 days.

Number of rainy days = 18.

Number of total days = 24

The ratio of rainy days to total days written as a percent will be:

= Number of rainy days / Total days × 100

= 18/24 × 100

= 3/4 × 100

= 75%

Therefore, the ratio is 3:4 which is 75%.

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PLSSS HELP!! Ty whoever helped me! :) Question: Select the statement that is true about the two-dimensional figure.

A quadrilateral with the vertices labeled L, M, N and O. Angles M L O and L M N are greater than 90 degrees, and angles L O N and M N O are less than 90 degrees.

∠LMN is an acute angle.
∠LMN is an obtuse angle.
∠MNO is an obtuse angle.
∠MNO is a right angle.

Answers

Answer: Choice B

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

A. This is false. It is stated that "LMN is greater than 90 degrees", so this angle is obtuse. Acute angles are less than 90 degrees.B. This is true. See choice A above.C. This is false. We're told that "angle MNO is less than 90 degrees". That makes the angle acute. D. This is false. See choice C above. Right angles are 90 degrees exactly. Often a small square marker is used to denote a 90 degree angle.

Solve please! A pyramid with the sides of 2.24 cm and a height of 4 and the base of 3.

Solve please! A pyramid with the sides of 2.24 cm and a height of 4 and the base of 3.

Answers

1. The diagram below shows the net of a pyramid with all its labeled sides.

2. The surface area; S = L + B

3. The total surface area = 22.44 cm².

How do we solve for the total surface area?

To calculate the total surface area, we use the formula to find Area = (1/2) x b x h.

After we've found the area, we say

Total surface area = 1/2 x 2.24 x (3 x 4) + (3)²

= 22.44 cm²

The above answers are based on the full questions below;

A pyramid with the sides of 2.24 cm and a height of 4 and the base of 3.

1. Draw a net for the pyramid. Label all sides with measurement?

2. Write an expression for the surface area of the pyramid and then find the total surface area

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Solve please! A pyramid with the sides of 2.24 cm and a height of 4 and the base of 3.

the last one is 3/20​

the last one is 3/20

Answers

Answer:

the answer is C my man. I believe so

Answer:

I believe it is C.

Step-by-step explanation:

The following bar chart shows the distances run by Jay's family in a race.
Find the median distance in km.

The following bar chart shows the distances run by Jay's family in a race. Find the median distance in

Answers

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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What is the formula for net cost price

Answers

Answer:

Hope this helps lol !

Step-by-step explanation:

This is how to calculate net price. Start with the list price and add any taxes and other government-mandated charges. Then subtract any discounts, negotiated prices. The result you get will be the net price.

Pls I need help ASAP rn

Pls I need help ASAP rn

Answers

17 I’m pretty sure urjdkdb

Answer:

C (40)

Step-by-step explanation:

8^2 + 15^2 = C^2

64 + 225 = C^2

289 = C^2

17 = C

It's asking for the permiter, so you have to add up all the sides:

8 + 15 + 17 = 40

This is due today, please help me out and show me how you did it!!

This is due today, please help me out and show me how you did it!!

Answers

The area of the rectangular figure with two semicircles on the opposite side is  36.56 sq cm.

What are the circumference and diameter of a circle?

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A rectangle with two semicircles on two opposite sides.

The length of the rectangle is 6cm and the width of the rectangle is 4cm.

The two given semicircles have a diameter of 4cm seems obvious.

∴ The area of the total figure is an area of the rectangle added to the area of 2 semicircles which makes up to a circle with a radius 2 cm.

∴ (4×6) + π(2)² sq cm.

= 24 + 4π sq cm.

= 24 + 12.56 sq cm.

= 36.56 sq cm.

The area which is not taken up in the rectangle and two circle questions are

(area of the rectangle - 2 times the area of a circle).

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A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 7 miles away from milepost 58. If m is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?​

Answers

Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

Enter the value of f(4) for the following function:

Enter the value of f(4) for the following function:

Answers

Answer:

648

Step-by-step explanation:

8x3x3x3x3=8x81=648

The graph shows a function of the form () = ab
.

Use the drop-down menus to complete the statements about the function, and then write an equation that represents this function.

The graph shows a function of the form () = ab.Use the drop-down menus to complete the statements about

Answers

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

The graph shows a function of the form () = ab.Use the drop-down menus to complete the statements about

URGENT!!!!!!!!
The diameter of circle P is 12 inches. The diameter of circle S is 16 inches. Anise wants to find the difference between the circumference of the circles.

Which two statements are true? \

Select TWO correct answers.



A The circumference of circle P is about 24π
inches.


B The circumference of circle S is about 50.24 inches.


C The difference between the circumferences of the two circles is 12.56 inches.


D The circumference of circle S is about 8π
inches.


E The circumference of circle P is about 75.36 inches.


F The difference between the circumferences of the two circles is 28π
inches.

Answers

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

What are the outputs of the function below?

-6, -3, 1, 5
-6, -3, 4, 6
-8, 2, 4, 6
-8, 2, 1, 5

What are the outputs of the function below? -6, -3, 1, 5 -6, -3, 4, 6 -8, 2, 4, 6 -8, 2, 1, 5

Answers

Answer:

\(5 { \times 54}^{2} \)

the answer is 5 x 54

y=9/4×2

sketch the graph of f and f on the same set of axes

Answers

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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y=9/42sketch the graph of f and f on the same set of axes

Calc II Question

The base of s is an elliptical region with boundary curve 9x^2 + 4y^2 = 36
Cross sections perpendicular to the x axis are isoscelees right triangle with hypotension in the base.


Correct answer is 24 but I don't know how they go that

Answers

Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

a bag has 5 yellow marbles, 3 red marbles, and 2 blue marbles. Quincy randomly picks a marble from the bag and returns it before another is picked. How many times would quincy expect to get a blue marble if he chose marbles 200 times?

Answers

Answer:

40

Step-by-step explanation:

2/10 are blue

so we need to find out 2/10's of 200

so in your calculator multiply 200 by 2/10

you get 40

Put the following numbers in order from least to greatest: π/2,-4,0.09,17,√3,-1/7,√225

Answers

Answer:

-4, -1/7,0.09,π/2,√3 ,√225,17

Step-by-step explanation:

π/2, is approx 1.5

-4,

0.09,

17,

√3 is approx 1.7

,-1/7, is approx -.143

√225 = 15

From most negative to greatest

-4, -1/7,0.09,π/2,√3 ,√225,17

Answer:

\(-4, -1/7, 0.09, \pi/2, \sqrt3, \sqrt{225}, 17\)

Step-by-step explanation:

So we have the numbers:

\(\pi/2, -4, 0.09, 17, \sqrt3, -1/7, \sqrt{225}\)

(And without using a calculator) approximate each of the values.

π is around 3.14, so π/2 is around 1.57.

17 squared is 289, so 1.7 squared is 2.89. Thus, the square root of 13 is somewhere between 1.7 and 1.8.

-1/7 can be divided to be about -0.1429...

And the square root of 225 is 15.

Now, use the approximations to place the numbers:

\(\pi/2\approx1.57; -4; 0.09;17;\sqrt3 \approx1.7; -1/7\approx-0.14;\sqrt{225}=15\)

The smallest is -4.

Next is -1/7 or about -0.14

Followed by the first positive, 0.09.

And then with π/2 or 1.57

And then a bit bigger with the square root of 3 or 1.7.

And then with the square root of 225 or 15.

And finally the largest number 17.

Thus, the correct order is:

\(-4, -1/7, 0.09, \pi/2, \sqrt3, \sqrt{225}, 17\)

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