Your family drives to 3 locations on a trip. The distance between the locations is 47.8, 72, and 65.9 miles. What is the total number of miles driven?

Answer:

1.7

Step-by-step explanation:

Answer:

the unit cost per rubber tile is $$$$$$$$$$$$$6

Step-by-step explanation:

..

The exact length of the curve is approximately equal to 1.078 units.

To obtain the length of the curve, we are to integrate the function's derivative that is the square root of the sum of the squares of the first derivative and 1.

Hence we begin by finding the derivative of the given equation:

y = x³/3 + (1/4)xdy/dx = d/dx(x³/3 + (1/4)x)dy/dx = x² + (1/4)

The derivative of the equation is dy/dx = x² + 1/4

Now we can find the length of the curve by integrating the square root of the sum of the squares of the first derivative and 1.

Hence we obtain that:

L = ∫₁³√[(1 + dy/dx²)]dxL = ∫₁³√[(1 + (x² + 1/4)²)]dx

We can evaluate the indefinite integral of the above equation by letting u = x² + 1/4 so that du/dx = 2x.

Then we obtain:

du/dx = 2x ==> dx = du/2x

Thus the integral equation becomes:

L = ∫₁³√[1 + u²] du/2x

On integrating using the formula for the inverse hyperbolic tangent we obtain:

L = (1/2)∫₁³√1/u² + 1 du= (1/2)[arctanh(u)]₄₁= (1/2)[arctanh(16/13) - arctanh(5/4)]= (1/2)[2.351∣∣−0.804]= 1.078 units (approx)

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Answer:

angle v

please take a look at the gif

Answer:

v

Step-by-step explanation:

The exact perimeter of the quadrilateral ABCD plotted is 5 + √85 + 2√65.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

The perimeter of the quadrilateral ABCD is plotted. These are the points:

A(-5,-2)

B(1,5)

C(5,-2)

D(2,-6)

The distance of AB

\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(1-(-5))^2 + (5-(-2))^2} \: \rm units.\\\\D = \sqrt{85}\)

The distance of BC

\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(5-(1))^2 + (-2-(5))^2} \: \rm units.\\\\D = \sqrt{65}\)

The distance of CD

\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = \sqrt{65}\)

The distance of AD

\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(-5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = 5\)

Therefore, The perimeter of the quadrilateral ABCD is 5 + √85 + 2√65.

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Answer:

Step-by-step explanation:

FIRST ONE

Answer:

It is a scalene triangle because it has unequal sides

Answer:

A scalene triangle

Step-by-step explanation:

I'm just a smart guy

Answer:

62?

Step-by-step explanation:

I just subtracted 76 and 14, I don't know if i'm right

The revolution of the Earth and Moon refers to their orbits around the Sun. The Earth's revolution takes time of 365.24 days, and the Moon's revolution takes 27.32 days.

The revolution of the Earth and Moon is the path of the two celestial bodies around the Sun. The Earth takes 365.24 days to complete one revolution, which is also known as one year. The Moon, on the other hand, takes 27.32 days to complete one revolution, which is also known as one lunar month.

The revolution of the Earth and Moon refers to their orbits around the Sun, with the Earth taking 365.24 days and the Moon taking 27.32 days to complete one revolution.The revolution of the Earth and Moon refers to their orbits around the Sun. The Earth's revolution takes 365.24 days, and the Moon's revolution takes time of  27.32 days.

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Answer:

as below

Step-by-step explanation:

\(\frac{4}{13}\) = \(\frac{3}{13}\) + \(\frac{x}{13}\)

Because the denominators are all the same.. just do normal math on top... in the numerator...    so   1 /13 is  your answer

Answer:

282.7 (rounded to the nearest tenth)

Step-by-step explanation:

Using the given dimensions of the coffee mug, we can calculate the volume of coffee it can hold using the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.

The radius of the mug is half of its diameter, which is 6 cm, so r = 3 cm. The height of the mug is 10 cm.

Substituting these values into the formula, we get:

V = π(3 cm)²(10 cm) V = π(9 cm²)(10 cm) V = 90π cm³

Rounding this to the nearest tenth gives:

V ≈ 282.7 cm³

Therefore, the coffee mug can hold approximately 282.7 cm³ of coffee when filled to the top.

Answer: 282.7 (rounded to the nearest tenth)

Answer:

Step-by-step explanation:

The conditional probability that a randomly chosen student is left-handed, given that the student is a boy, can be represented as:

P(left-handed|boy) = P(left-handed and boy)/P(boy) = 3/16

The conditional probability that a randomly chosen student is left-handed, given that the student is a girl, can be represented as:

P(left-handed|girl) = P(left-handed and girl)/P(girl) = 2/14

Both expressions are examples of conditional probability, as they show the probability of one event (left-handed) given that another event (boy or girl) has occurred.

Answer:

d. (9, 0)

Step-by-step explanation:

(x, y) so...

Where the line crosses the x-plane, x = 9

Since this is the x-intercept y will always equal zero

Therfore x-int = (9, 0)

We need to know about area of a triangle to solve the problem. The area of the triangle is 36 square units.

The area of a triangle can be calculated from the base and height of the triangle. In this question we have two expressions for base and height of the triangle, we need to simplify the expressions to get the value of base and height of the triangle. We need to multiply the base and the height together and calculate  half of it to find the area of the triangle.

base = \(4^{2}\)-25\(\frac{4}{2}\)+20 =\(4^{2}\)-54/2+20=16-27+20=36-27=9

height =10-2=8

area=1/2x9x8=9x4=36

Therefore the area of the triangle is 36 square units.

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Answer:

7.8 cm

Step-by-step explanation:

Tan ( 1R) = opposite leg / adjacent leg = QR / 5

5 tan (1R) = QR = 7.787 cm =~ 7.8 cm

(Remember :   there are 2pi R = 360 degrees

     so   1R = 360 / (2pi) degrees

           tan ( 360/2pi) = tan 57.296 ° = 1.5574   )

Negative 5 οver 6 is greater than οr equal tο negative 1 οver 2 times w- is the inequality fοr the statement.

The οccurrence οf an unfair and/οr unequal distributiοn οf οppοrtunities and resοurces amοng the peοple that make up a sοciety is referred tο as inequality. Tο different peοple and in variοus settings, the wοrd "inequality" may indicate different things.

The phrase "the prοduct οf a number and negative five sixths is higher than οr equal tο negative οne half" can alsο be used tο express this idea.

Let N stand in fοr the quantity. The assertiοn is therefοre untrue, as fοllοws:

N × (-5/6) ≥ -1/2  

The prοnunciatiοn οf the sign ≥ is alsο knοwn as greater than οr equal tο.

Hence the cοrrect answer is b, negative 5 οver 6 is greater than οr equal tο negative 1 οver 2 times w.

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Answer:

a. To find the annual net income, subtract the annual expenses from the annual rental income.

The annual rental income = $750 * 12 months = $9,000

So, the annual net income = $9,000 - $6,890 = $2,110

b. To find the annual yield, divide the annual net income by the investment cost (the down payment) and multiply by 100 to get the answer as a percentage.

The annual yield = ($2,110 / $28,500) * 100 = 7.41%

c. To find the monthly rent required to get a yield of 90%, divide the investment cost by the desired yield and divide by 12 to get the monthly rent.

The investment cost = $28,500

The desired yield = 0.90

So, the monthly rent = ($28,500 / 0.90) / 12 = $2,306.25

Step-by-step explanation:

Answer:

lower=34.15 upper=34.25

Step-by-step explanation:

The degree to which two or more variables are associated with one another is referred to as correlation.

Correlation can range from a perfect positive correlation (where both variables increase or decrease together) to a perfect negative correlation (where one variable increases as the other decreases) to no correlation at all.

The strength and direction of the correlation can be measured using statistical methods, such as correlation coefficients.

What do you mean by variable?

An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are often employed in mathematical expressions and equations.

A variable, then, is a symbol denoting a number whose value is unknown. In this case, x + 5 equals 10. "X" in this case is a variable.

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Answer:

C: ratio of the horizontal change to the vertical change of a line

Step-by-step explanation:

A and B are correct.

C is incorrect.

As per the integral value of the closed path, the magnitude of I3 is 3.597

The term magnitude in math refers a measure of the size of a mathematical entity.

Here we have the value of the line integral around the closed path 1.96 x 10⁻⁵.

Now, we have to find the value of the magnitude I3,

Here we have also know that the value of I1 and I2 are 18A and 12 A respectively.

Now, as per the line integral of the magnetic field is written as,

=> 1.96 x 10⁻⁵ = 4π⋅10⁻⁷ (I3 + 12)

When we simplify this one then we get,

=> 1.96 x 10²/4π = I3 + 12

=> 15.597 = I3 + 12

Then the value of the magnitude is calculated as

=> I3 = 3.597

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It is proved that ca⇀ and cb⇀ are orthogonal .

Let AO = - u vector , OB = u vector and OC = α vector .

According to question ,

u * u = v * v = r ^ 2 and

AC vector = AO vector + OC vector = u + v

BC vector = BO vector + OC vector v - u ,

Applying dot - product ,

( AC vector ) . ( BC vector ) = ( v + u ) . ( v - u )

                                            = ( v . v ) - ( u . u )

                                          = ( r ^ 2 ) - ( r ^ 2 )

                                           = 0

Hence , AC and BC are orthogonal .

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Answer:

.549 (all under bar/repeted)

Step-by-step explanation:

Answer: 66% or 67% if you round it up

Step-by-step explanation: Add 23 and 11 together: 34

I'm not sure how many marbles you drew so I'll say subtract 1: 33

22/33 =.6 repeating.67 if you round it up or 67%

The probability that you draw no blue marble is 23/11.

Probability is a branch of math that deals with finding out the likelihood of the occurrence of an event.

A bag has 11 blue marbles and 23 red marbles.

Total number of marbles = 11 + 23 = 34

The probability of picking blue marbles is;

\(\rm Probability=\dfrac{Blue \ marbles }{Total \ marbles}\\\\Proability = \dfrac{11}{34}\)

The probability that you draw no blue marbel IS;

\(\rm Probabilty = 1- Blue \ marable\\\\Probability = 1-\dfrac{11}{34}\\\\Probability=\dfrac{34-11}{11}\\\\Probability =\dfrac{23}{11}\)

Hence, the probability that you draw no blue marble is 23/11.

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Answer:

5 meters to the left

Step-by-step explanation:

Given that :

First travel : 14 meters to the right

Second travel : 19 m to the left

Final position :

First travel - Second travel.

(14 m - 19m)

Final position = - 5 m

-5m = 5 meters to the left.

The correct statements are:

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

1)

There are four ways to choose the committee.

This statement is true.

since we have to choose 3 members out of the 4 members so we can use the method of combination.

2)

There are three ways to form the committee if person D must be on it.

This statement is also true.

since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3)

If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

i.e. there are 35 combinations possible.

4)

If persons B and C must be on the committee, there are two ways to form the committee.

if B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5)

If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be in the committee then as in last option we have to choose any one of the two person left.

so possible number of ways are 2.

Hence, the statement is false.

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Answer:

4

Step-by-step explanation: