250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours

Answer:

The speed is still water is [tex]v = \frac{d}{h} - c[/tex].

Step-by-step explanation:

Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:

[tex]c + v = \frac{d}{h}[/tex]

Where:

[tex]c[/tex] - Current speed, measured in miles per hour.

[tex]v[/tex] - Speed of the person regarding current, measured in miles per hour.

[tex]d[/tex] - Distance travelled downstream, measured in miles.

[tex]h[/tex] - Time spent on travelling, measured in hours.

Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:

[tex]v = \frac{d}{h} - c[/tex]

The speed is still water is [tex]v = \frac{d}{h} - c[/tex].

Answer:

6

Step-by-step explanation:

Let the number be x.

2x - 7 = 5

Add 7 to both sides.

2x = 5 + 7

2x = 12

Divide 2 into both sides.

x = 12/2

x = 6

The number is 6.

Answer:

6

Step-by-step explanation:

2x-7=5

2x=12

x=6

x=the varible that represents the number

Answer:

third option

Step-by-step explanation:

When x is less than 3, f(x) is negative so the first statement is false. The second statement is also false because the entire function is not positive. The third statement is true because when x is less than 3 f(x) is negative. The fourth statement is false because the entire function is not negative.

Answer:

B

Step-by-step explanation:

Volume of Sphere = 4/3 x 3.14 (pi) x r^2

Answer:

(y-6)=-2/3(x+4)

Step-by-step explanation:

Answer:

5 people have pink cups

Step-by-step explanation:

10-5=5

:D

Answer:

5

Step-by-step explanation:

10-5=5

^--^

Answer:

needs more information!

Step-by-step explanation:

need more information

Answer:

the last option, all nums greater than -3

Step-by-step explanation:

Answer:

New dimensions are; Width = 12m and Length = 12m

Step-by-step explanation:

Let length of rectangle be L

Let width be W

Area of rectangle has a formula;

Area = Length x Width = LW

We are given the area = 144 m²

So,

LW = 144 - - - (eq1)

Now, we are told that width is doubled and length is decreased by 12m but area remains the same.

Thus, we have;

Width as 2W and Length as L - 12.

Area = 2W(L - 12)

So,

2W(L - 12) = 144 - - - (eq2)

Equating eq 1 and 2,we have;

LW = 2W(L - 12)

W will cancel out to give;

L = 2(L - 12)

L = 2L - 24

2L - L = 24

L = 24m

From equation 1, LW = 144

Thus; W = 144/L = 144/24

W = 6m

So new design of rectangle now has a dimension of;

Width = 2W = 2 × 6 = 12m

Length = L - 12 = 24 - 12 = 12m

So, new dimensions are; Width = 12m and Length = 12m

Answer:

Positive correlation

Step-by-step explanation:

From the scatter plot shown in the graph above, we can observe that the data points that are clustered in a band run upwards from left of the graph to the right.

In simple terms, both variables move along the same direction, which means, as variable on one axis increases, the variable on the other axis increases as well.

This shows that the variables depicted on the scatter plot are positively correlated. It shows a positive correlation between the variables.

The relationship between the variables on the scatter plot it a positive correlation

From the graph, we have the following highlights

When the x and the y values increase or decrease in the same direction, then the correlation of the graph is positive.

Hence, the relationship between the variables on the scatter plot it a positive correlation

Read more about correlation at:

brainly.com/question/7289927

Answer:

y=x_1 is the solution of system

Answer:

Step-by-step explanation:

When each of the dimensions is multiplied by 1/3, the result is a rectangle that is ...

   (12 mm)·(1/3) by (15 mm)·(1/3) = 4 mm by 5 mm

The result is ...

  a smaller rectangle with length 4 millimeters and width 5 millimeters

__

The perimeter of the smaller rectangle has the same ratio to the original that the side lengths do.

The new perimeter will be 1/3 times the perimeter of the original rectangle.

The change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.

For a known length and width of a rectangle, the expression for calculating the perimeter of a rectangle is 2(L × w).

From the given information:

A rectangle's length = 12 mm, and width = 15 mm

Therefore, we can deduce that the change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.

This is because by using the scale factor:

[tex]\mathbf{\dfrac{1}{3}(12) \times \dfrac{1}{3}(15)}[/tex]

We can get the value for the length and width of the new smaller rectangle as 4 mm and 5 mm respectively.

Learn more about the perimeter of a rectangle here:

https://brainly.com/question/19819849

#SPJ2

Answer:

x = 10000

Step-by-step explanation:

log x = 4

Raise each side to the base of 10

10^log x = 10 ^4

x = 10 ^4

x = 10000

Answer:

x = 10,000

Step-by-step explanation:

I got it right on the test.

Answer:

The answers are below

Step-by-step explanation:

a)67.592

b)21.748

c)241.402

Answer:

d.

Step-by-step explanation:

i looked at the graph!

Answer:

B. 116

Step-by-step explanation:

Answer:

D) 102

Step-by-step explanation:

Angle ABC is an inscribed angle.

Inscribed angle = 1/2 * Intercepted Arc

The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204

m<ABC = 1/2(204)

m<ABC = 102 degrees

You answer is D) 102

Answer:

The magnitude of the boat's velocity is 5.66 m/s

Step-by-step explanation:

Given;

Radius of curvature of the circular path, r = 40 m

speed of the boat, v = 0.8 t m/s

The magnitude of the boat's velocity when it has traveled 20 m is ?

a = dv / dt,

v = 0.8 t (differentiate with respect to t)

dv / dt = 0.8 = a

thus, a = 0.8 m/s²

If the boat starts from rest, initial velocity, u = 0

Apply kinematic equation, to solve for the boat velocity at 20 m

v² = u² + 2as

v² = 0 + 2 x 0.8 x 20

v² = 0 + 32

v² = 32

v = √32

v = 5.66 m/s

Therefore, the magnitude of the boat's velocity when it has traveled 20 m is 5.66 m/s

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-Step Explanation:

We want to find the limit:

[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}[/tex]

Use direct substitution.

Hence:

[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}\cos(\frac{\pi}{2}})[/tex]

Recall the unit circle. cos(π/2) is simply 0. Hence:

[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}(0)=0[/tex]

Therefore:

[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}=0[/tex]

So, our answer is A.

Answer:

A

Step-by-step explanation:

Answer:

Part A:

x = 80 degrees

Part B:

A => Corresponding Angles (They correspond to each other)

Hope This Helps!

Don't hesitate asking anything regarding this!

Answer:

12.7 years to the nearest tenth.

Step-by-step explanation:

The total of the ages for the 25 students = 10*25 = 250.

For the 30 students it is 15*30 = 450.

The average for the 2 classes = (250 + 450) / (25 + 30)

= 700 / 55

=  12.7 years to the nearest tenth.

Answer:

b) 5π/4

c) 7π/4

e) 13π/4

Step-by-step explanation:

sin θ = -½√2

There's really no algebra to be done here.  There are two ways you can solve.  One, you can use a calculator.  Two, you can memorize your unit circle.

Either way, it helps to draw the unit circle.  sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2.  This happens at two places: θ = 5π/4 and 7π/4.

Next, we need to check the options that are greater than 2π.

9π/4 is the same as π/4.

13π/4 is the same as 5π/4.

So the three correct answers are 5π/4, 7π/4, and 13π/4.

Answer:

B

C

D

Step-by-step explanation:

Answer:

I went into snippet and graphed the equations in the JPG.

Step-by-step explanation:

To start off, we'll begin with the first equation: y=-3x+8

When graphing an equation you want to find the y intercept first (where the line meets the y axis). In this equation the y intercept is the positive 8. You will count 8 up the y axis to find your first point in this equation, (0,8)

Next you will use the slope given to finish graphing the equation. The slope in this equation is -3x or -3/1x. Starting from point (0,8) you will travel down three and to the right once. This will give you your next point of the line (1,5) You will continue this process, traveling down three and to the right one starting from the point you left off on. Your final points of the line for the first equation are: (0,8) (1,5) (2,2) (3,-1) (4,-4) and (5,-7). Graph these 6 points and draw a line connecting them together.

Now for the next equation: y=4/5x-1

Like the last equation you will need the Y intercept first and this equation's is -1, so you will travel down one along the y axis, making the first point for this equation (0,-1)

Following the same steps as the last equation, you will now graph the slope which is 4/5x, meaning you will travel up 4 and to the right 5. The final points you should have for this equation on the graph are: (0,-1) (5,3) and (-5,-5). Draw the line connecting these points together and there you have it, the second equation on a graph.

P.S- Sorry the graphs are sloppy it's kind of hard to graph using a computer mouse

Answer:

Initially, they have £28 altogether

Step-by-step explanation:

Obi: Rudy=5:2

this means that Obi had 5x and Rudy has 2x in their wallets.

Obi spent £20 and 5x-20 left. Obi now had £8 less than Rudy

thus,

2x-(5x-20) =8

2x-5x+20=8

-3x=-12

x=4

obi =5x

=5*4

=20

Rudy =2x

=2*4

=8

This means that initially Obi had £20 and Rudy had £8

Total if Rudy and obi

=£8+£20

=£28

Answer:

6.8 nearly 7

Step-by-step explanation:

beacuse mean is sum of all terms in a data/number of terms in the data

Answer: 7

Step-by-step explanation:

To find the mean of a set, you take the sum of the set and divide it by the number of numbers in the set.

[tex]\frac{2+6+7+9+9+9}{6} =\frac{42}{6} =7[/tex]

Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

1 inch is two 1/2’s so it takes two strokes to lift the car 1 inch.

2 strokes per inch x 5 inches = 10 total strokes.

The answer is 10

Answer:

Step-by-step explanation:

Hello

(fog)(x)=f(g(x))=10(x-6)/10+6=x-6+6=x

(gof)(x)=(10x-6+6)/10=10x/10=x

So YES the functions are inverse

hope this helps

Answer:

  0.952

Step-by-step explanation:

You want to know the multiplier that causes a value to be decreased by 4.8%.

A value is said to be "decreased by 4.8%" when 4.8% of the original value is subtracted from the original value:

  value - 4.8% × value . . . . . . the meaning of "decreased by 4.8%"

  = value × (1 -4.8%) . . . . . . . . . factor out "value"

  = value × (1 -0.048) . . . . . . . . . express the percentage as a decimal

  = value × 0.952

The decimal multiplier that decreases a value by 4.8% is 0.952.