how many more seconds does it take to drive 1 mile at 40 miles per hour than 60 miles per hour​

The stocks are worth $ 1396.29 nine months later.

Using the continuous compounding formula,

[tex]A = Pe^{rt}[/tex] where

Substituting the values of the variables into the equation, we have

[tex]A = Pe^{rt}[/tex]

[tex]A = 1200e^{0.202 X 0.75}\\A = 1200e^{0.1515}\\A = 1200(1.1636)\\A = 1396.29[/tex]

So, the stocks are worth $ 1396.29 nine months later.

Learn more about continuous compounding here:

https://brainly.com/question/24722580

Answer:

<N=<T

<P=<Q

<O=<R

<M=<S

Step-by-step explanation:

they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.

Answer:

20°

Step-by-step explanation:

∡EFJ = 70°

∡JFK = 90°

So, ∡KFG = 180 - ∡JFK - ∡EFJ = 180 - 90 - 70 = 20°

Answer:

60

Step-by-step explanation:

i put 30 then it said the answer was 60

Answer: b

Step-by-step explanation: graph b is correct hope it helps

Answer:

(-5,-3)

(1,3)

Step-by-step explanation:

Solving with substitution

Set both equations to y =  ...

y = x^2 + 5x - 3

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

y - x =2

y = x + 2

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

Substitute one of the Y's with the other Y = equation.

x + 2 = x ^2 + 5x -3

Set one side to 0

0 = x^2 + 4x -5

x^2 + 4x - 5 = 0

Simplify by factoring

(x-1) (x+5)

Get your X values

x-1 = 0

x = 1

x+5 = 0

x = -5

Plug in each X into one of the equations to get your Y value.

1st X

y = x + 2

y = 1 + 2

y = 3

When X = 1, Y = 3

2nd X

y = x + 2

y = -5 + 2

y = -3

When X = - 5, Y = -3

Your answers are (1,3) and (-5,-3)

Answer:

marked price=1400

discount=10%

VAt= 15%

selling price=?

Now

we know that,

sp= mp - discount%of mp

1400- 10% of 1400

1400 - 10÷100* 1400

1400

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: -1 = (-3/3)

Step-by-step explanation

You go from one point to another, i started from 3,1 and went to 3,0. I got down -3 which is my rise and right 3 for the run. Tell me if this is correct

Answer:

The coordinates of the focus are [tex](-3,0)[/tex]

Step-by-step explanation:

Since [tex]B^2-4AC=0^2-4(1)(0)=0[/tex], the conic section is a parabola.

Convert general form into standard form by completing the square:

[tex]x^2+6x-4y+5=0[/tex]

[tex]x^2+6x+5=4y[/tex]

[tex]x^2+6x+9=4y+4[/tex]

[tex](x+3)^2=4(y+1)[/tex]

Now that the equation is in the form of [tex](x-h)^2=4p(y-k)[/tex], we can see that [tex]h=-3[/tex] and [tex]k=-1[/tex] which tells us that the vertex is at [tex](-3,-1)[/tex]. To determine the coordinates of the focus, we need to solve the equation [tex]4p=4[/tex] and plug the value of [tex]p=1[/tex] into [tex](h,k+p)[/tex] to get [tex](-3,-1+1)[/tex] which is [tex](-3,0)[/tex].

In conclusion, the coordinates of the focus for the conic section are [tex](-3,0)[/tex].

Step-by-step explanation:

We can prove KK'M and LL'M are congruent by using ASA (Angle side angle). Angle side angle means that if we know two angles and one side, we can prove that they are congruent.

First, we know that ∠KMK' = ∠LML' because they are alternative angles. (That's our fist A)

Next, The problem states that KK' and LL' are equal. (so that gives our S)

Finally, we know that ∠ML'L and ∠KK'M are both 90 degrees, making them both equal. (That's our final A)

Hope this helped :D

Answer:

it is the first one

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

60% of 125 is 75

75+125=200

hope this helped!!!

Answer:

I think the answer is $200.

Step-by-step explanation:

hope this helps.

Answer:

32/60

Step-by-step explanation:

because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)

numerator: 8*4=32

denominator: 15*4=60

final equivalent fraction: 32/60

πr²/2

22×7×7/7×2

77cm²

πr²/2×2

πr²

22/7×3.5×3.5

38.5cm²

77-38.5=38.5cm²

Answer:

B

Step-by-step explanation:

======================================================

Explanation:

Race 1

Let's convert Malcom's distance to inches so we can compare his distance to his sister's.

1 yard = 3 feet

10 yards = 30 feet (multiply both sides by 10)

1 foot = 12 inches

30 feet = 360 inches (multiply both sides by 30)

In Malcom's first race, he ran 360 inches. He has run the furthest compared to his sister who ran 300 inches.

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

Race 2

Convert Malcom's distance from feet to inches.

1 foot = 12 inches

18 feet = 216 inches (multiply both sides by 18)

Malcom runs 216 inches compared to his sister's distance of 180 inches. Malcom is the winner again.

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

Race 3

120 inches = 120/12 = 10 feet

Divide by 12 to convert from inches to feet, or you could have these steps

12 inches = 1 ft

120 inches = 10 feet

after multiplying both sides by 10.

Malcom runs 10 feet compared to 5 feet which his sister runs.

In each race, Malcom has ran the furthest.

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

If we take points [tex](1,1)[/tex] and [tex](4,0)[/tex] from the line, we can determine the slope:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{4-1}=\frac{-1}{3}=-\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex]

Answer:

  b.  256 m²

  d.  324 cm²

  f.  35 in²

Step-by-step explanation:

The shaded area is the difference between the areas of the outer rectangle and the inner one:

  A = (24 m)(12 m) -(8 m)(4 m) = 288 m² -32 m² = 256 m²

__

The steps are all the same height and width. Their height is (18 cm)/3 = 6 cm, so the height of the middle step is 2×6 cm = 12 cm. The area of the figure will be the product of the base and the average step height:

  A = (27 cm)(12 cm) = 324 cm²

You might be able to visualize this as cutting off the top step even with the middle on and placing it on top of the bottom step.

__

The triangle area formula applies.

  A = 1/2bh = 1/2(4" +10")(5") = 35 in²

_____

Additional comment

The formula for area of a rectangle is ...

  A = LW . . . . . the product of length and width

Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.

Answer:

the result is -9

Hope this helps

Please mark brainlest

Answer:

x =-27

Step-by-step explanation:

X/3= -9

or,X=-9×3(cross multiplication)

or, X=-27

Answer:

The ramp's horizontal distance is the distance in the x-axis. So the ramp's vertical distance I.e y-axis is 14 inches. And its length which is actually the hypotenuse ofthe right angled triangle 16 feet. But let's convert feet to inches first. 1 feet makes 12 inches Hence 16 feet makes 192 inches. From pythagoras a^2 =b^2 + c^2 where a the hypotenuse is 192 and b is 14. C is the ramp's horizontal distance. So we have (192)^2 = (14)^2 + c^2 C^2 = 192^2 - 14^2 = 36668 C = 191.48 From SOHCAHTOA. We have to use Sin So sin theta = (14/192) Theta = sin^(-1) (14/192) = 4.1815. Yes, it meets the FAC standard since the ramp's angle is less than 4.78

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} > \frac{1}{6} [/tex]

Answer: B. >

#CarryOnLearning

Answer:

Here is your answer

Step-by-step explanation:

A cubic spline is a spline constructed of piecewise third order polynomials which pass through a set of control points. The second derivative of each polynomial is commonly set to zero at the endpoints since this provides a boundary condition that completes the system of equations.

Answer:

A cubic spline is a spline constructed of piecewise third-order polynomials in which pass through a set of control points. __________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

you are in the 45 and 56 zone so yes

Step-by-step explanation:

[tex]\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}[/tex]

Answer:

an = 1/4 * an-1

a1 = 2

Step-by-step explanation:

2, 1/2, 1/8, 1/32

To find the common ratio, take the second term and divide by the first term

1/2 ÷ 2

1/2 * 1/2

1/4

The common ratio is 1/4

1/2 * 1/4 = 1/8  and 1/8 *1/4 = 1/32

The first term is a1 so a1 = 2

an = the common ratio * an-1

an = 1/4 * an-1

Answer:

Below.

Step-by-step explanation:

The common ratio = 1/2 / 2 =  1/2 * 1/2 = 1/4.

Also 1/8 / 1/2 =2/8 = 1/4 and 1/32 / 1/8 = 1/32 * 8 = 1/4

an = 1/4 * an-1 is the answer.

Answer:

hi there !

The answer is "30/40"

because by dividing each nominator and denominator by "10" it gives 3/4

Check the picture below.  Notice, we didn't go below 0 on the x-axis, assuming the x-axis is the hours, because she couldn't do -1hours, but the area is between 0 - 7 hours.

Answer:

1. 50

2. 130

Step-by-step explanation:

If we number the angle opposite 2 as 3 we know that angle 3 is equal to the 130 already provided.

Therefore, resulting in number 2 being equal to angle 3.

If we know that angle 2 and 3 is 130, we should add the numbers together to get 260.

A circle has a degree of 360, so we minus 260 from the 360.

We would get 100, so we divide it by 2.

Thus, angle 1 would be equivalent to 50.

Hope this makes sense :)

Answer:

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