A river cruise boat sailed 96 miles down the Mississippi River for four hours. It took six hours to return. Find the rate of the cruise boat in still water and the rate of the current.

Answer:

What's the graph?

Step-by-step explanation:

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Answer:

17/25

Step-by-step explanation:

If one black pen is removed from the bag, there are 16 black pens and 34 red pens left in the bag, for a total of 50 pens in the bag.

The probability of a red pen being picked out is 34/50, or 17/25

Answer:

In these two parallelograms, the sides that are same are:

ST = WX

TU = XY

UV = YZ

SV = ZW

Therefore according to the question, the correct option is

d) ST = WX

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288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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The coordinate of point W should be -4 or point C such that the ratio of AW to WF is 1:3

Given data

ratio 1:3

the ratio implies every unit WF is equal to 3 x AW.

hence every unit of AW multiplied by 3 gives WF

using equivalent of fractions in the comparison as follows

1 : 3 = 2 : 6 = 3 : 9

comparing  3 : 9 gives

For point A

Point A = - 7

point A + 3 = -7 + 3 = - 4 = point C

For point F

point F = 5

point F - 9 = 5 - 9 = - 4 = point C

\(\frac{AW}{WF} = \frac{|+3|}{|-9|} = \frac{AC}{FC}\)

Hence the coordinate of point W should be -4 or point C such that the ratio of AW to WF is equal to 1:3

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Answer:

The second box plot represents the data

Step-by-step explanation:

A box and whisker plot gives you the five-number summary of the data, which includes:

the minimum (lowest value of the data)

the maximum (highest value of the data)

Q1 (25% of the data lies below this point)

Q3 (75% of the data lies below this point), and

the median (the middle of the data).

The two ticks at the far left and far right of the box-and-whisker plot are the minimum and maximum respectively.  From the data, we see that the minimum is 5 and the maximum is 10.

Although both plots have a minimum value of 5, only the second plot has the accurate maximum at 10.

We get that the cost of the battery is $ 8.24 per battery.

We are given that the cost of 88 batteries = $ 724.72

We need to find the cost of one battery.

We will do this by diving the cost of 88 batteries by 88.

Using division, we get that:

cost of one battery = $ 724.72 ÷ 88

Simplifying the expression, we get that:

cost of one battery = $ 8.24 per battery.

Therefore, we get that the cost of the battery is $ 8.24 per battery.

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The expression that represents "3 more than twice a number" is 2n + 3.

The expression "3 more than twice a number" can be translated into an algebraic expression as 2n + 3, where "n" represents the number in question. To understand this expression, we first need to know the order of operations. In this case, "twice a number" means "2n", and "3 more than" means adding 3 to that result. Therefore, the entire expression becomes "2n + 3". It's important to remember that expressions like this are not equations, but rather just a way to represent a mathematical relationship. This type of expression is commonly used in algebraic problem-solving and can be manipulated to solve for different variables.

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Complete question:

Which expression represents "3 more than twice a number"? Choices:

2n−3

3−2n

2n+3

2+n+3

Answer

138

Step-by-step explanation:

The answer is 138 because, when you take 258 and subtract it by 120, you will end up with 138!  

Answer:

It was most likely raised by 46%

Step-by-step explanation:

120/258

Answer:

6. Not so clear

7. 72 degrees

8. 5x + 60 = 180

9. 15 degrees

10. C

Step-by-step explanation:

7. 4x + 12 + 3x + 4 = 121 So this is the equation for the whole angle ADC.

7x + 16 = 121 Collect like terms

7x + 16 - 16 = 121 - 16 Bring 16 to the other side of the equation

7x / 7= 105 / 7

x = 15

After finding the value of x substitute it into the equation for angle ADB thus:

4 ( 15 ) + 12 = 72 DEGREES

8. When those two angles meet they form an angle in a straight line thus they sum to 180 degrees.

9. So we already know of all angles except for 1 which is the one you need to find and what you simply do is:

Add 120 + 30 + 15 = 165

Then subtract 165 from 180 because they are angles in a straight line:

180 - 165 = 15 degrees

10. The answer is C because they are adjacent and they form a perpendicular.

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The definite integral which represents the area of the region in the fourth quadrant enclosed by r = 10 - cos is A = 210π - 80/8

Given:

the area of the region in the fourth quadrant enclosed by r = 10 - cos

we know that:

A = (limit a to b)∫ r²/2 dθ

we know that area of first quadrant = area of fourth quadrant (by symmetry)

A = (limit θ=0 to π/2)∫ (1-cosθ)²/2 dθ

= (limit θ=3π/2 to 2π)∫ (1-cosθ)²/2 dθ

A = 1/2(limit 0 to π/2)∫ (100 - 20cosθ + cos²θ)dθ

A = 1/2 (limit 0 to π/2)∫ (100 - 20cosθ + 1/2 + cos2θ/2)dθ

= 1/2 (limit 0 to π/2) ∫ (201/2 - 20cosθ + cos2θ/2)dθ

= 1/2 ( 201/2 θ- 20sinθ + sin2θ/4) limit π/2 to 0

= 1/2 ( 201π/4 - 20 + 0)

= 1/2 ( 210π - 80/4)

Hence we get the required answer.

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Answer:

24,000

Step-by-step explanation:

615 ≈ 600

38 ≈ 40

600 × 40 = 24,000

Therefore, 615 × 38 ≈ 24,000

, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: The fraction 3/9

Now we can simplify the fraction further by dividing both the numerator and denominator by 3

let p=3/9

then p=3/3 / 9/3

       p= 1/3

Hence, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

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Answer:

D. Move the decimal point in 132.9 three places to the left.

Step-by-step explanation:

Multiplication of a decimal by the nth power of 10:

We move the decimal point n places to the right.

Division of a decimal by the nth power of 10:

We move the decimal point n places to the left.

In this question:

There is a division by 1000, which is the 3rd power of 10, because \(10^3 = 1000\)

So, we should move the decimal point three places to the left, and the correct answer is given by option D.

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

A registered investment account, or RRSP, enables you to put money aside for retirement while delaying taxes on investment gains.

An annuity is a financial product that provides regular payments over a specified period of time in exchange for a lump sum of money. It's often used as a retirement income source and comes in different types such as fixed, variable, immediate, and deferred annuities. It's important to understand the terms, fees, and charges before purchasing an annuity.

Registered Retirement Savings Plan is the full form of RRSP.

In Canada, both workers and independent contractors can save and invest during their retirement through Registered Retirement Savings Plans (RRSP).

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The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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Answer:

1/480

Step-by-step explanation:

rolling a 5 is 1/6

rolling a 5 is 1/8

rolling a 5 is 1/10

total probability= 1/6*1/8*1/10

= 1/480

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

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Answer:

The answer is,

f(-2) = -2

Step-by-step explanation:

Since -2 < 0, and f(x) = x for x < 0,

so we get,

f(-2) = -2

Answer:

58 1/3

Step-by-step explanation:

14=.24x

14*25/3 = x

58 1/3

a. The table beside the graph should be completed as follows;

b. The table beside the graph should be completed as follows;

In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped.

Part a.

Based on the given graph of the first quadratic function, we can logically deduce that it is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) and the x-intercept (roots) are (-5, 0) and (-1, 0) while the y-intercept is (0, 4).

Additionally, the vertex is given by the ordered pair (-3, -4) and it has a minimum value of -4.

Part b.

Based on the given graph of the second quadratic function, we can logically deduce that it is a downward parabola because the coefficient of x² is negative and the value of "a" is less than zero (0) and the x-intercept (roots) are (-2, 0) and (4, 0) while the y-intercept is (0, 8).

In conclusion, the vertex is given by the ordered pair (1, 9) and it has a maximum value of 9.

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Complete Question

The complete is shown on the first uploaded image

Answer:

The correct option are option 2 and option 4

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 12  

    The test statistics is  \(t \approx 1.434\)

    The level of significance is  \(\alpha = 0.05\)

    The  rejection region is    t>1.796

   The null hypothesis \(H_o: \mu_d=0\)

    The alternative hypothesis is  \(H_a : \mu_d >0\)

 From the given values we see that t <  1.796(i.e   1.434 < 1.796 ) which implies that t is not within the rejection region

  Hence we fail to reject the null hypothesis

The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.

10*how to make sure you have any questions or concern I am not sure if you have any questions