what fraction is equivalent to -0.5​

Jen's motorboat travels at a speed of 13 mph in still water. Given that the Booth River flows at a speed of 4 mph, it will take Jen approximately 2.00 hours to travel 20 miles upstream.

To calculate the time it takes for Jen to travel upstream, we need to consider the relative velocities of the boat and the river. When traveling upstream, the boat's speed is reduced by the speed of the river. Therefore, Jen's effective speed is 13 mph - 4 mph = 9 mph. To cover a distance of 20 miles at a speed of 9 mph, we divide the distance by the speed: 20 miles / 9 mph = 2.22 hours. Rounded to the nearest hundredth, the time it takes Jen to travel 20 miles upstream is approximately 2.00 hours.

It's worth noting that the time required to travel downstream would be different due to the added velocity of the river. However, the problem only asks for the time taken to travel upstream.

to learn more about nearest hundredth click here:

brainly.com/question/16345739

#SPJ11

Answer:

Given equation is, x+3y=6

To determine whether each order pair is a solution of the equation

(3,1)

we have that, when x=3 we get y=1

Let us check this in the equation.

Put x=3, we get

Hence (3,1) is the solution of the equation.

(6,0)

Put x=6, we get,

Hence (6,0) is the solution of the equation.

(-2,2/3)

Put x=-2, we get,

Hence (-2,2/3) is not the solution of the equation.

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

|

|

|

|

| x

|

|

|

-------------

|

|

|

|

|

|

|

|

|

B

|

|

|

|

|

|

|

|

|

|

|

A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

third one

Step-by-step explanation:

6 - 4 is it decreased by four

x = the number

the = sign means 8 is the answer

Answer: I think its going to be C

Step-by-step explanation:

Because the question is asking you six decreased by 4 times a  number is 8. So basically I guess it will be 6-4x=8. hope it helps :)

Answer:

Formula: divide the value in centimeters per second by 100 because 1 meter per second equals 100 centimeters per second. So, 9000 centimeters per second = 9000100 = 90 meters per second.

Step-by-step explanation:

The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Correct calculation:

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

Learn more about volume:

https://brainly.com/question/1972490

#SPJ1

Answer:

10=40

50=30

Step-by-step explanation:

Suppose the number of 10 paise coins =x

∴ the number of 50 paise coins =70−x

Now, value of 10 paise coins = Rs.  

10 x  and value of 50 paise coins = Rs.   2 70−x

Total value of coins =   10 x +  2 70−x

​∴  10 x  +  2 70−x  =19

Multiplying both sides by 10, (LCM of 10,2=10), we get  

x+5(70−x)=19×10    

x+350−5x=190

−4x=−160

−4 −4x  =  −4 −160

​∴x=40

∴ number of 10 paise coins =40  

Number of 50 paise coins =70−40=30.

Answer: 14

Step-by-step explanation:

Answer:

its the other won D

Step-by-step explanation:

The correct statement is: 'A standard normal distribution has a mean of 0 and a standard deviation of 1 '

The correct answer is an option (b)

In this question, we need to complete given statement.

We know that the normal distribution is a symmetrical and bell-shaped distribution.

In standard normal distribution the mean, median and mode are all equal. Also, it always has a mean of zero and a standard deviation of one.

So,  A standard normal distribution has a mean of 0 and a standard deviation of 1 .

Find more about standard normal distribution:

https://brainly.com/question/29509087

#SPJ4

Answer:

C

Step-by-step explanation:

C

Answer:

((-2c)(d^-3))^2

4c^2/ d^6

The quadratic equation is:

To find if the number of solutions, we use the discriminant of the equation. But first, we compare the given equation with the general quadratic equation:

By comparison, we find the values of a, b, and c:

Now, as we said previously, we have to use the discriminant to find the number of solutions. The discriminant is defined as follows:

• If the value of D results to be equal to 0, there will be 1 real solution.

• If the value of D results to be greater than 0, there will be 2 real solutions.

• And if the value of D results to be less than 0, there will be no real solutions.

We substitute a, b and c into the discriminant formula:

Solving the operations:

As we can see, the value of D is less than 0 (D<0) which indicates that there will be no real solutions for this quadratic equation.

Answer: No real solutions

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

I dont have an explanation, sorry

Answer:

The interest is 1600

Step-by-step explanation:

Answer:

C=45+.35m

Step-by-step explanation:

I believe this would be right

Answer:the cycle repeats every 2pi radians

Step-by-step explanation:

Answer:

The statement which does not describe the tangent function is A. The cycle repeats every 2pi radians.

Step-by-step explanation:

The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It is also described  as the ratio of sine and cos .

If we analyses the tan function graph we will happened to find that it repeats itself after every π radian .

So, its cycle cannot repeat every 2pi radians.

Therefore,  The statement which says that The cycle repeats every 2pi radians does not describe the tangent function.

Click here to know more about the tangent function.

https://brainly.com/question/12561220

#SPJ2

The point on the graph that we need to use is point A (-2, 2).

Here we have the graph of the function y = f(x), the values of x are called the inputs and are represented on the horizontal axis.

While the values of y are the outputs and are represented on the vertical axis.

Then to find f(-2), first we need to find x = -2 on the vertical axis, and the point located there.

On the graph we only can see the point (-2, 2), so the value f(-2) is equal to 2.

Then the point used was A, that is the correct option.

Learn more about functions:

https://brainly.com/question/2328150

#SPJ1

Answer:

The man's height is 6.25ft

Step-by-step explanation:

Given

Represent the height of the tree with H, the height of the tree's shadow with S

Represent the height of the man with h, the height of the man's shadow with s

So, we have:

H = 35ft

S = 42ft

s = 7.5ft

Required

Solve for h

To answer this, we make use of the following ratio

h/s = H/S

Substitute values for S, H and s

h/7.5 = 35/42

Multiply both sides by 7.5

h = 7.5 * 35/42

h = 262.5/42

h = 6.25

The rule to translate triangle ABC to triangle A'B'C' is (x + 5, y - 5).

To find the rule that translates triangle ABC to triangle A'B'C', we need to determine the translation vector (a, b) that moves each vertex of triangle ABC to its corresponding vertex in triangle A'B'C'.

Let's calculate the translation vector by subtracting the coordinates of a vertex in triangle ABC from its corresponding vertex in triangle A'B'C'.

Translation vector for vertex A:

(a, b) = (4 - (-1), -3 - 2) = (5, -5)

Translation vector for vertex B:

(a, b) = (10 - 5, -8 - (-3)) = (5, -5)

Translation vector for vertex C:

(a, b) = (2 - (-3), -5 - 0) = (5, -5)

Since the translation vector is the same for all vertices, we can conclude that the rule to translate triangle ABC to triangle A'B'C' is (x + 5, y - 5).

To learn more on Translation click:

https://brainly.com/question/29712965

#SPJ1

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

Point form: (-1,1)

Step-by-step explanation:

y=2x+3, -y=2x+1

Point form: (-1,1)

Equation form: x = -1, y = 1

Answer: x=1/9

Step-by-step explanation:

\(2\left(\frac{1}{9}\right)x=\frac{2}{81}\)

\(\frac{2}{9}x=\frac{2}{81}\)

multiply both sides by 9

\(9\cdot \frac{2}{9}x=\frac{2\cdot \:9}{81}\)

\(2x=\frac{2}{9}\)

divide 2 on both sides

\(x=\frac{1}{9}\)

The completely factored form of 12x^5 - 6x^3 + 8x^2 is 2x^2(6x^3 - 3x + 4).

The completely factored form of 12x^5 - 6x^3 + 8x^2 is:

2x^2(6x^3 - 3x + 4).

To factor completely, we can look for the greatest common factor (GCF) among the terms. In this case, the GCF is 2x^2, as it is the largest factor that can be divided from each term.

Applying the GCF, we divide each term by 2x^2:

12x^5 ÷ 2x^2 = 6x^3,

-6x^3 ÷ 2x^2 = -3x,

8x^2 ÷ 2x^2 = 4.

Therefore, factoring out 2x^2 from each term gives us:

2x^2(6x^3 - 3x + 4).

This is the completely factored form of the given expression.

Learn more about factored form here

https://brainly.com/question/43919

#SPJ11

Answer: (-1,2)

Step-by-step explanation:

Your solution is the intersecting point.

To find the reduced row-echelon form

�

�

A

R

​

 of matrix

�

A, we can use row operations. Here are the steps:

Step 1: Perform row operations to create zeros below the leading coefficient of the first row:

R2 = R2 - (1/3)R1

R3 = R3 - (4/3)R1

The matrix after Step 1 becomes:

(

3

2

−

12

0

−

5

3

5

0

−

5

3

5

)

⎝

⎛

​

3

0

0

​

2

−

3

5

​

−

3

5

​

​

−12

5

5

​

⎠

⎞

​

Step 2: Perform row operations to create a leading coefficient of 1 in the second row:

R2 = -\frac{3}{5}R2

The matrix after Step 2 becomes:

(

3

2

−

12

0

1

−

1

0

−

5

3

5

)

⎝

⎛

​

3

0

0

​

2

1

−

3

5

​

​

−12

−1

5

​

⎠

⎞

​

Step 3: Perform row operations to create zeros above and below the leading coefficient of the second row:

R1 = R1 - 2R2

R3 = R3 + \frac{5}{3}R2

The matrix after Step 3 becomes:

(

3

0

−

10

0

1

−

1

0

0

0

)

⎝

⎛

​

3

0

0

​

0

1

0

​

−10

−1

0

​

⎠

⎞

​

Step 4: Perform row operations to create a leading coefficient of 1 in the first row:

R1 = \frac{1}{3}R1

The matrix after Step 4 becomes:

(

1

0

−

10

3

0

1

−

1

0

0

0

)

⎝

⎛

​

1

0

0

​

0

1

0

​

−

3

10

​

−1

0

​

⎠

⎞

​

The reduced row-echelon form

�

�

A

R

​

 of matrix

�

A is:

�

�

=

(

1

0

−

10

3

0

1

−

1

0

0

0

)

A

R

​

=

⎝

⎛

​

1

0

0

​

0

1

0

​

−

3

10

​

−1

0

​

⎠

⎞

​

To find the matrix

Ω

Ω such that

Ω

�

=

�

�

ΩA=A

R

​

, we perform the same row operations on the identity matrix:

Ω

=

(

1

3

0

0

0

−

3

5

0

0

5

3

1

)

Ω=

⎝

⎛

​

3

1

​

0

0

​

0

−

5

3

​

3

5

​

​

0

0

1

​

⎠

⎞

​

Therefore,

Ω

�

=

�

�

ΩA=A

R

The length of DC is √102, which is the simplest radical form.

The proportion of corresponding sides in similar triangles is the same. This is known as the similar triangles theorem.

In other words, if two triangles are similar, then the ratio of the lengths of any two corresponding sides is the same.

Since DE is parallel to AB, we can use similar triangles to set up the following proportion:

DC/AC = DE/AB

Substituting the given values, we get:

DC/17 = 6/AB

Since AB is the same length as DC, we can replace AB with DC:

DC/17 = 6/DC

Cross-multiplying and simplifying, we get:

DC^2 = 17 * 6

DC^2 = 102

DC = √102 in simplest radical form

Learn more about similar triangles at:

https://brainly.com/question/2644832

#SPJ1

Answer:

x<3

Step-by-step explanation:

9x-6<21

9x<21+6

9x<27

x<27 divided by 9

x<3

To determine The probability of both of these occurring, you would multiply the probability of each together. So, there is a 1/7 chance of the first salesman getting the right key, and 1/6 chance of the second salesman getting the right key. 1/7 x 1/6= 1/42 chance of both occurring.