Write the answer using scientific notation.
(2 x 10^13)^-2

The equation that has the steepest slope is y = -14x + 1

A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.

Analysis:

A line is said to be the steepest if it has the highest absolute value of the gradient or slope.

From the equations, the coefficient of x in the equations is taken as the slope.  y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.

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Answer:

Y=-14x+1

Step-by-step explanation:

Answer:

p(t) = 5 × [tex]2^{t}[/tex]

Step-by-step explanation:

Use the points on the curve to evaluate a and b

Using (0, 5 ), then

5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus

a = 5

p(t) = 5[tex]b^{t}[/tex]

Using (1, 10 ), then

10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

b = 2

Thus

p(t) = 5 [tex]2^{t}[/tex]

The exponential function  is

[tex]p(t) = 5(2^{t})[/tex]

An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

Where,

b>0 and b is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“b” is a constant, which is the base of the function.

and a is also constant.

According to the given question

We have an exponential function

[tex]p(t) = ab^{t} ...(i)[/tex]

And from the given graph,  the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)

Substitute  t = 0 and p(t) = 5 in (i)

⇒[tex]5 = a[/tex] or a = 5       ( because,   [tex]b^{0} = 1[/tex] )

Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]

⇒ 10 = 5[tex]b^{1}[/tex]

⇒ b = 2

Therefore, the exponential function p(t) is given by

[tex]p(t) = 5(2^{t})[/tex]

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Answer:

12 as well 45 78 u want to go 89

Answer:

Abigail was four times faster in the skateboard than when she is walking

Step-by-step explanation:

Let the total distance to travel be d

distance traveled on skateboard = 2/3 * d = 2d/3

distance walked = 1/3 * d = d/3

So let the time taken to skate be t, then time taken to walk home will be 2t since it is 2 times longer.

Now, the speed on both trips is distance/time

For the snowboard trip, speed is 2d/3/t = 2d/3t

For the walking trip, distance would be;

d/3/2t = d/6t

So let’s compare these two speeds.

Obviously the speed on the skateboard is greater than that walking.

So we can equally divide the speed on the skateboard by that while walking to know how many times faster it is.

Thus, mathematically we have

2d/3t divided by d/6t

So that would be;

2d/3t * 6t/d = 4

So this means she was four times faster on the skateboard

Answer:

bettween 30 and 150 yards

Step-by-step explanation:

test

Answer:

Between 30 yds and 150 yds.

Step-by-step explanation:

Got it right Edge 2021

Answer:

c.) x-2

Step-by-step explanation:

Answer:

X-2

Step-by-step explanation:

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = b,

where b = y-intercept

The y-intercept is -7, so the equation is

y = -7

Answer:

Y=-7

Step-by-step explanation:

No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).

Answer: valu of a

Step-by-step explanation: I Did the test

Answer:

The value of A affects the answer.

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

Answer:

The 2 pink ones

explanation: I got this right

The two pink diagrams in the given figure are parallelograms.

A unique kind of parallelogram created with parallel lines is called a parallelogram.

A parallelogram can have whatever angle between its neighboring sides, but for it to be a parallelogram, it's opposite sides must be parallel. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram.

So a rectangle both with pairs of separate sides being parallel and equal is known as a parallelogram.

The word "parallelogram" is a translation of the Greek term "parallelogrammon," which means "confined by line segments." As a result, a quadrilateral that is surrounded by parallel lines is called a parallelogram.

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Answer:

A

Step-by-step explanation:

the equation go from a negative Y value, to positive. The answer is A because it goes from (-2,-2), towards (0,1) increasing the Y value by 3, and the X by 2

Answer:

40

Step-by-step explanation:

First let x represent the first number.

Let 2x represent the second number.

Let 2x-16 represent the third number.

x + 2x + 2x-16 = 84

5x -16 = 84

5x = 84 + 16

5x = 100

Divide both sides of the equation by 5 so that x can stand alone.

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

x = 20

∴ First number = x = 20

Second number = 2x = 40

Third number = 2x - 16 = 24

Answer:

[tex]\boxed{-3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation is determined by the constant equation [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept of the line.

Therefore, we can use the equation given and implement it to find your slope.

[tex]y=-3x[/tex]

Our equation does not have a y-intercept, [tex]b[/tex]. Therefore, it can just be inferred as [tex]+0[/tex].

Because we do have a [tex]m[/tex], we can then find out what our slope is: [tex]\boxed{-3}[/tex].

Answer:

67°

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.

Before we can get the exterior angle Z, we need to first calculate the value of n.

In geometry, the sum of interior angles is equal to the remote exterior angle.

m∠z = m∠x + m∠y

(133-6n)° = (4n-18)°+(n+8)°

133-6n = 4n-18+n+8

-6n-4n-n = -18-133+8

-11n = -143

n = 143/11

n = 13°

Since the exterior angle m∠z =(133-6n)°

Substituting n = 11 into the equation will give:

m∠z = 133-6(11)

m∠z = 133-66

m∠z = 67°

The remote exterior angle is 67°

Answer: 55

Step-by-step explanation:

Answer:

(0, 2)

Step-by-step explanation:

The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).

Making a table of t and g values would be helpful here:

 t      g(t) = -(t - 1)^2 + 5

------ -----

  2     4

  0     4

 -1      1

  1      5

We're looking for an interval on which the average rate of change is zero.

Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).

The average rate of change of [tex]g(t)=-(t-1)^2+5[/tex] is 0 in interval [tex]-1\leq t\leq 3[/tex].

Given,

[tex]g(t)=-(t-1)^2+5\\[/tex].

We have to find the interval in which [tex]g(t)=-(t-1)^2+5\\[/tex] have an average rate of change of zero.

We know that, the function [tex]f(x)[/tex] will have average range of 0 when [tex]f(b)=f(a)[/tex].

Now we calculate g(1), g(2),g(3) and g(-1),

[tex]g(1)=-(1-1)^2+5\\g(1)=5[/tex]

[tex]g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4[/tex]

[tex]g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1[/tex]

[tex]g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1[/tex]

Since,

[tex]g(3)=g(-1)=1[/tex]  so the function [tex]g(t)=-(t-1)^2+5\\[/tex] has an average rate of zero at [tex]-1\leq t\leq 3[/tex].

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Answer:

-270

Step-by-step explanation:

Here, we want to know the coefficient of the fourth term.

The coefficients according to pascal triangle for the expansion is 1 5 10 10 5 1

So the expansion looks as follows;

1[(-x)^5(-3)^0] + 5[(-x)^4(-3)^1)] + 10[(-x)^3(-3)^2) + 10[(-x)^2(-3)^3] + ...........

So the fourth term we are dealing with is

10[(-x)^2(-3)^3)]

So the value here is

10 * x^2 * -27

= -270 x^2

So the coefficient is -270

Answer:

(a)Grade =7.5% (No warning sign is needed)

(b)Rise =90 feet

Step-by-step explanation:

[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]

(a)

Rise = 63 feet

Run (Horizontal distance) = 840 feet.

[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]

A warning sign should not be posted since its grade is less than 8%.

(b)

Grade = 9%

Run (Horizontal distance) = 1000 feet.

Recall that:

Grade = Slope X 100

[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]

The road rises 90 feet over a distance of 1000 feet.

Answer:

L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.

Option B is correct.

The number 0 represents the year when Gabriel was born.

Step-by-step explanation:

Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.

Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.

J'espère que cela t'aides!!!

English Translation

Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:

A) The year when Gabriel's sister was born

B) The year when Gabriel was born

C) The year when Gabriel's mother received a medal

Solution

It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.

Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.

Hope this Helps!!!

Answer:

B.   y = 6x^2 - 24x + 16.

Step-by-step explanation:

y = 6(x - 2)^2 - 8

y = 6(x^2 -4x + 4) - 8

y = 6x^2 - 24x + 24 - 8

y = 6x^2 - 24x + 16.

Answer:

$175.

Step-by-step explanation:

There are 100 centimeters in  meter and 1000 metres in a kilometer so we have 100,000 cm in a kilometer.

So the required cost

= 0.07 * 100,000 / 40

= 7000 / 40

= $175.

Answer:

Hello! :) The answer will be under “Explanation”

Step-by-step explanation:

As my answer I got $175

1km would equal to 100,000 cm

1m would be 100cm

That means 1 km = 100 000 cm

Now you have to divide.

100,000 divided by 40 equals to 2,500($0.07)

=$175

If we do the math correctly we can now see that the answer should be $175

Hope this helps! :)

By:BrainlyMember ^-^

Good luck!

Answer: c, b, a, d

Step-by-step explanation: that is correct

Answer:

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Step-by-step explanation:

In ascending order: (starting from the smallest)

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Answer:

.0604 < .604 < .06< .64 < .6

Step-by-step explanation:

.6= 6/10

.64=.64/100

.06=6/100

.604=604/1000

.0604=604/10000

Answer:

B

Step-by-step explanation:

On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.

On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.

Step-by-step explanation:

Simply you replace X and Y by their values

Given: x=-1 y=-4

10 - (-X)^3 + y^2

=10 + X^3 + Y^2

Now replace X and Y

=10 + (-1)^3 + (-4)^2

=10 - 1 + 16

= 25

Step-by-step explanation:

you will divide both sides of the ratio I.e the 4.5 and 2.25 by 2.25

Answer:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Step-by-step explanation:

Given that:

Radius of the circle, r = 10 cm

Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm

To find:

The error in area of circle = ?

Solution:

First of all, let us have a look at the percentage error in measurement of radius:

[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]

Now, we know that Area of a circle is given as:

[tex]A = \pi r^2[/tex]

[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]

Area according to r = 10

[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]

Now, error in area = 4% of 314 [tex]cm^2[/tex]

[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]

So, the answer is:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Answer: y = 6

Step-by-step explanation:

A square's area can be done by using s^2, where s is y in this case.  Because there are 5 squares, the area of the figure is 5y^2.  Because the area is also 180cm, 5y^2=180.

Then divide both sides of the equation by 5 to get y^2 = 36.  Then square root both sides of the equation to get y = 6.

Hope it helps <3

Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.