A motorboat maintained a constant speed of 14 miles per hour relative to the water in going 33 miles upstream and then
returning. The total time for the trip was 7.0 hours. Use this information to find the speed of the current.
What is speed of the current is miles per hour?

Answer:

It is B because

Step-by-step explanation:

3 x 9 x 4 = 108

Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

Answer:

Step-by-step explanation:

The current world population is 7.9 billion as of July 2021 according to the most recent United Nations estimates elaborated by Worldometer. The term "World Population" refers to the human population (the total number of humans currently living) of the world.

Answer:

The hypotenuse is about 32

Step-by-step explanation:

32.016

Hope this helps!

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.

The reciprocal of the divisor 5 1/5 divided by 1/10

To the reciprocal of the divisor.

Equation: 5 1/5 divided by 1/10

1st: Flip the 1/10 to become 10/1

2nd: Change division to multiplication

New equation: 5.1/5.10/1

⇒ 50/5

       ⇒ 10.

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

To learn about more about the reciprocal of the divisor visit: brainly.com/question/11490331 #SPJ9.

Answer:

Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.

But 5 years with interest you'd have 5750$ in the bank.

Step-by-step explanation:

With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.

With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.

Answer:

Option 4. m=6 or m=8

Step-by-step explanation:

4+(7-m)=5

7-m=1

-m=-6

m=6

-4+(7-m)=-5

7-m=-1

-m=-8

m=8

Answer:

Step-by-step explanation:

Answer is option 4

When you plug in the 6 into the equation you get 5.

Work for

Plugging in 6:

4+(7-6)=5

4+(1)=5

5=5

Answer:

3/8

Step-by-step explanation:

0.375 im hoping thats correct good luck

The missing terms in the logarithmic equation are solved

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

log₄ 11 + log₄ 5 = log₄ ( a )

Now , the value of a is

From the logarithmic properties , we get

log A + log B = log AB

So , a = 11 + 5 = 16

b)

log₅ 3 - log₅ ( a ) = log₅( 3/5 )

From the logarithmic properties , we get

log A − log B = log A/B

So , a = 5

c)

log₇ 8 = 3 log₇ ( a )

From the logarithmic properties , we get

log Aⁿ = n log A

8 = 2³

So , a = 3

Hence , the logarithmic equation is solved

To learn more about logarithm click :

https://brainly.com/question/12049968

#SPJ1

1. 4 inside angles must sum to 360:

X = 360-45-65-95 = 155

2. All the outside angles must sum

To 360:

2x + 70+ 86 + 9 = 2x + 248

2x = 360-248

2x = 112

X = 112/2 = 56

3. Sum of interior angles for 6 sides figure = 720.

X = 720 - 90-120-130-140-150

X = 90

4. Exterior angles sum to 360

4x +x + 98 + 162 = 360

5x + 260 = 360

5x = 100

X = 100/5

X = 20

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

for such more question on linear inequalities.

https://brainly.com/question/5370236

#SPJ11

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

Learn more on volume of a solid obtained by rotating curve here;

https://brainly.com/question/32301706

#SPJ1

The total surface area of the square pyramid is 99 cm²

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

To get the surface area:

Area of base = 10 cm * 2 cm = 20 cm²

Area of first triangle lateral face = (1/2) * 2 cm * 8 cm = 8 cm²

Area of second triangle lateral face = (1/2) * 10 cm * 6.3 cm = 31.5 cm²

Total surface area = 20 cm² + 2(8 cm²) + 2(31.5 cm²) = 99 cm²

The total surface area is 99 cm²

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

IT CAN BE

Step-by-step explanation:

BECAUSE ISOSCELES TRIANGLE IS A TRIANGLE WITH 2 SIDES EQUAL....

EQUILATERAL TRIANGLE HAS ALL SIDES AND ANGLES EQUAL, so equilateral triangle also has 2 sides equal

Answer:

no it is not can you look at your coments

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Answer:

11/4     0.75    60%    1/2     0.2

Step-by-step explanation:

Given

11/4  0.2   60%   0.75   1/2

Required

Order from largest to smallest

Convert all numbers to decimal

\(11/4 = 2.75\) ; \(60\% = 0.60\) and \(1/2 = 0.50\)

So, the numbers are:

2.75    0.2     0.60     0.75     0.50

From largest to least, we have:

2.75    0.75     0.60   0.50   0.2

Convert all numbers back to their original form

11/4     0.75    60%    1/2     0.2

Answer:

1050 times larger

Step-by-step explanation:

simply multiply two expression and divide the first by the the second

(8×105)/(8×10^-1)= 1050

Answer:

1.1764705882

Step-by-step explanation:

1.1764705882

Answer:

No they do not

Step-by-step explanation:

On a coordinate plane there are 4 quadrants 1,4 is in quadrant 1 and 4,1 is in quadrant 2

(hope this is what you were asking good luck!)

The ordered pairs (1,4) and (4,1) do not represent the same point on the coordinate plane because:

(1,4) represents a point that at x = 1 when y = 4 (at Quadrant 1)

(4,1) represents a point that at x = 4 when y = 1. (at Quadrant 2)

Recall:

Thus, the points,  (1,4) and (4,1), represents different points:

(1,4) represents a point that at x = 1 when y = 4 (at Quadrant 1)

(4,1) represents a point that at x = 4 when y = 1. (at Quadrant 2)

Therefore, the ordered pairs (1,4) and (4,1) do not represent the same point on the coordinate plane because:

(1,4) represents a point that at x = 1 when y = 4 (at Quadrant 1)

(4,1) represents a point that at x = 4 when y = 1. (at Quadrant 2)

Learn more about coordinate plane on:

https://brainly.com/question/24675494

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.

For this problem, the numbers are given by:

\(3 \times 10^{-4}, 2 \times 10^{10}\)

The result of the multiplication is given by:

\(3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}\)

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

More can be learned about scientific notation at https://brainly.com/question/16394306

#SPJ1

Answer:

Step-by-step explanation:

.02

Answer:

20 grams

Step-by-step explanation:

I might be wrong though.

m=F/a

m=11.2/520

m=0.02kg

0.02kg=20grams

Hope that helped! :)

The area of the net of the solid figure is 96 square inches

The image that completes the question is added as an attachment

From the image, we have:

Squares = 6

Length = 4

The area of the net is then calculated as:

Area = Squares * Length^2

This gives

Area = 6 * 4^2

Evaluate

Area = 96

Hence, the area of the net of the solid figure is 96 square inches

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

For more questions on fraction

https://brainly.com/question/78672

#SPJ8

Answer: 2,594.4 is your answer for fund A and 165.6 is your answer for Fund B

Step-by-step explanation:

The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5  d ) -25/12

Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent.  Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse

the give parameters are:

tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2

a)  sin(α+β)

Using the trig ratios tan = opp/adj

but from pyth. rule, 4² + 3² = h²

16+9 = h²

h = √25 = 5

Now from trig Sin(α+β)

4/5 + 3/5

=- 7/5

b) cos(α+β)

cos = ad/hypo

4/5 + 3/5

= -7/5

c) Sin(α-β)

4/5 - 3/5

-1/5

d) tan(α-β)

= -4/3 - 3/4

= (-16 - 9)/ 12

-25/12

Learn more about trigonometric ratios on https://brainly.com/question/23130410

#SPJ1

Answer:

The mean of y

Step-by-step explanation:

In statistics, correlation is the degree of the linear relationship between two variables. The correlation coefficient is the numerical measure of the linear relationship of two variables, It is measured in the range -1 to 1. When the coefficient is negative, the variables are said to have a negative correlation, while it is a positive correlation or have a strong linear relationship if the correlation coefficient is positive.

When the correlation coefficient is zero, both variables have no linear relationship and the best predictions of each variable would be the mean.

Answer:

Step-by-step explanation:

Applying the formula for the car deprecation we have

\(f(t)=P(1-\frac{r}{100} )^n\)

Where,

A is the value of the car after n years,

P is the purchase amount,

R is the percentage rate of depreciation per annum,

n is the number of years after the purchase.

1. The depreciated value of the car after 1 yr is ​

n=1

\(f(t)= 15000(1-\frac{12}{100} )^1\\\f(t)= 15000(1-0.12 )\\\f(t)= 15000(0.88)\)