=
-x- 2x + 1 on the interval from
What is the average rate of change of the function g(x)
X = 2 to x = 6?
Pleaseeeee help

Answer:

6.4 seconds

Step-by-step explanation:

Using the second equation of motion.

d= 200m/s.

a= 9.8ms^-1 . Acceleration due to gravity.

t= time.

substituting,

t=

[tex] \sqrt{2 \times \frac{200}{9.8} } [/tex]

t= 6.4 seconds

Answer:

x = 6

Step-by-step explanation:

The isosceles triangle is divided into two forming two right triangles

in right triangles the square value of hypotenuse is equal to sum of other two side lengths

x^2 + 4^2 = 52

x^2 + 16 = 52 subtract 16 from both sides

x^2 = 36 find the root for both sides

x = 6

Answer:

10 ships

Step-by-step explanation:

did it on Khan and

There can be many ways to solve this problem. Here, we will do this by thinking about units.

Let's say that Astrid can build

x

ships

xshipsx, start text, s, h, i, p, s, end text if she receives deliveries of wood for the maximum possible number of days, which is

100

days

100days100, start text, d, a, y, s, end text. How can we relate these two quantities with an equation?

100

days

⋅

y

ships

day

=

x

ships

100days⋅y

day

ships

​

=xships

​

So in order to find the number of ships

x

xx, we need to figure out the value of

y

yy, which is the rate of ships per day.

Hint #22 / 4

Notice what other information we are given:

40

tons

ship

40

ship

tons

​

40, start fraction, start text, t, o, n, s, end text, divided by, start text, s, h, i, p, end text, end fraction

300

sailors

ship

300

ship

sailors

​

300, start fraction, start text, s, a, i, l, o, r, s, end text, divided by, start text, s, h, i, p, end text, end fraction

4

tons

day

4

day

tons

​

4, start fraction, start text, t, o, n, s, end text, divided by, start text, d, a, y, end text, end fraction

2100

sailors

2100sailors2100, start text, s, a, i, l, o, r, s, end text

Which of these quantities can help us calculate a rate whose units are

ships

day

day

ships

​

start fraction, start text, s, h, i, p, s, end text, divided by, start text, d, a, y, end text, end fraction?

Hint #33 / 4

We can combine the following quantities:

4

tons

day

40

tons

ship

=

4

40

tons

day

⋅

ships

ton

=

0.1

ships

day

​

=

40

ship

tons

​

4

day

tons

​

​

=

40

4

​

day

tons

​

⋅

ton

ships

​

=0.1

day

ships

​

​

Now we can plug that in the original equation:

100

days

⋅

0.1

ships

day

=

x

ships

10

ships

=

x

ships

100days⋅0.1

day

ships

​

10ships

​

=xships

=xships

​

Hint #44 / 4

In conclusion, assuming Astrid receives the maximum possible amount of wood, she can build

10

1010 ships.

Answer:

A) No because the theater did not survey everyone in the theater.

Answer:

Yes, because the theater surveyed a random sample.

Step-by-step explanation:

The survey is valid because there was a random sample. They surveyed every fifth person, so there was a variety of age groups, genders, and preferences included in the sample. Therefore, the correct answer is yes, because the theater surveyed a random sample.

Answer:

2 days

Step-by-step explanation:

Expected number of days until prisoner reaches freedom=E(x)=?

E(x)=x*p(x)

Where x is the number of days and p(x) is the probability associated with them.

X    1    2    3

P(x) 0.5 0.3 0.2

E(x)=1*0.5+2*0.3+3*0.2

E(x)=0.5+0.6+0.6

E(x)=1.7.

Thus, the expected number of days until prisoner reaches freedom are 2 days.

Answer:

6 children

Step-by-step explanation:

Given

[tex]1\ Pencil = \$0.59[/tex]

[tex]1\ Notebook = \$1.09[/tex]

Required

Determine the number of students that can get pencils and notes worth $15

First, we need to calculate the amount that can be allotted to a child

[tex]1\ child= 1\ Notebook + 2\ Pencils[/tex]

[tex]1\ child= 1 * \$1.09 + 2 * \$0.59[/tex]

[tex]1\ child= \$1.09 + \$1.18[/tex]

[tex]1\ child= \$2.27[/tex]

From the given parameters, we have that

[tex]n\ children= \$15[/tex]

Where n is the number of child

Represent both as ratios;

[tex]1 : 2.27 = n : 15[/tex]

Convert to division

[tex]\frac{1}{2.27} = \frac{n}{15}[/tex]

Multiply both sides by 15

[tex]15 * \frac{1}{2.27} = \frac{n}{15} * 15[/tex]

[tex]\frac{15}{2.27} = n[/tex]

[tex]6.608 = n[/tex]

[tex]n = 6.608[/tex]

Because "a child" is discrete, we have to round down the above figure to

[tex]n = 6[/tex]

Hence, the maximum number of children that can be provided with supplies worth $15 is 6

Answer:

f(-2)=13

Step-by-step explanation:

We are given the function:

f(x)= 5-4x

and asked to evaluate f(-2). We want to find what f(x) is when x is equal to -2.

We must substitute -2 in for each x.

f(-2)= 5 - 4(-2)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, multiply 4 and -2.

⇒ 4 * -2 = -8

f(-2) = 5 - -8

Two negative signs in a row become a positive sign.

f(-2)= 5+8

Finally, add 5 and 8.

f(-2)= 13

The function f(x)= 5-4x evaluated for f(-2) is 13.

Answer:

7+(-3)[(14-4)/(-5)]+7

7+3[2]+7

7+6+7

20

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

Answer:

h = 10

Step-by-step explanation:

Given

[tex]\frac{3}{7}[/tex] = [tex]\frac{h}{14}[/tex] - [tex]\frac{2}{7}[/tex]

Multiply through by 14 to clear the fractions

6 = h - 4 ( add 4 to both sides )

10 = h

Answer:

10

Step-by-step explanation:

We start out with 3/7 = h/14 - 2/7

add 2/7 to both sides:

(5/7) = h/14

Multiply both sides by 14 to get rid of the fraction:

h = 10

Answer:

x = 13

Step-by-step explanation:

- 4 = -17 + x

Add 17 to each side

- 4+17 = -17+17 + x

13 =x

Answer:

-4+17=x

13=x

you substitute and then solve for the answer

Answer:

C, at 0/25, 1/20, 2/15, 3/10,...

Answer:

C

Step-by-step explanation:

Answer:

got it

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Given

5 - (4 - 3x) = 10 ← distribute the terms in the parenthesis by - 1

5 - 4 + 3x = 10, that is

1 + 3x = 10 ( subtract 1 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Answer:

His kinetic energy at the faster speed is 160 J

Step-by-step explanation:

Here in this question, we are interested in calculating the kinetic energy at the faster speed.

Firstly, we need to know the mass of the boy’s body. We can do this by using the kinetic energy formula;

Mathematically;

K.E = 1/2 * m * v^2

From the question;

K.E = 40 Joules

m = ?

v = speed = 2 m/s

Now, plugging these values into the kinetic energy equation, we have;

40 = 1/2 * m * 2^2

40 = 1/2 * m * 4

40 = 4m/2

4m = 40 * 2

4m = 80

m = 80/4

m = 20 kg

Now that we know the mass of the boy’s body, we can proceed to calculate the new K.E

Let’s follow the third statement in the question;

We were told that he doubles his speed upon sighting his friend.

Recall, he was traveling at a speed of 2 m/s.

Now doubling this means the new speed will

be 2 * 2 = 4 m/s

Now, we want to calculate the kinetic energy value at this new speed.

Mathematically, we use the same formula for kinetic energy.

K.E = 1/2 * m * v^2

We know that m is the mass that we calculated as 20kg and our v here is 4 m/s

Plugging these values, we have;

K.E = 1/2 * 20 * 4^2

K.E = (20 * 16)/2

K.E = 320/2

K.E = 160 J

Answer:

A boy weighing 20 kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is 160 joules.

Explanation : As you can see, [tex]\sqrt{-16}[/tex] is not a real number, and hence should be expressed as 4[tex]i[/tex], [tex]i[/tex] being an imaginary number. Respectively [tex]\sqrt{-64}[/tex] will be 8[tex]i[/tex]. Therefore this expression boils down to [tex]\left(3+4i\right)\left(6-8i\right)[/tex]. All we have to do from now on is expand this expression.

Apply the rule [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex], in this case where [tex]a=3,\:b=4,\:c=6,\:d=-8[/tex],

[tex]\left(3\cdot \:6-4\left(-8\right)\right)+\left(3\left(-8\right)+4\cdot \:6\right)i[/tex]

Let's simplify each part, [tex]3\cdot \:6-4\left(-8\right)[/tex] and [tex]3\left(-8\right)+4\cdot \:6[/tex]. Afterwards we can add [tex]i[/tex], and refine.

[tex]3\cdot \:6-4\left(-8\right) = 50[/tex] ; [tex]3\left(-8\right)+4\cdot \:6 = 0[/tex]

Therefore our simplified expression will be [tex]50+0i[/tex], otherwise known as just 50. That is our solution.

Answer:

Step-by-step explanation:

Answer:

So if x= 1 , y= -20 , z = -5 , we just have to replace those values on the equation

[tex]\frac{\sqrt{yz}}{(z-x)^{2} + y } =[/tex]  [tex]\frac{\sqrt{(-20) * (-5)}}{(-5-1)^{2} + (-20) } =[/tex]  [tex]\frac{\sqrt{100}}{(-6)^{2} -20 }[/tex]  [tex]= \frac{10}{16} =\frac{5}{8}[/tex]

Answer:

Answer:

3 mph

Step-by-step explanation:

Let the speed of the river's current be x

Upstream (against the river's current)

Resultant velocity = 6 - x

Distance covered = (6-x)t

10.5 = (6-x)t

t = 10.5/(6-x)

Downstream (with the river's current)

Resultant velocity = 6+x

Distance covered = (6+x)t

t = 31.5/(6+x)

Therefore.......

10.5/(6-x) = 31.5/(6+x)

10.5(6+x) = 31.5(6-x)

63 + 10.5x = 189 - 31.5x

Collect like terms

42x = 126

x = 3 miles per hour

HOPE IT HELPS!

PRETTY PLEASE MARK ME BRAINLIEST :-)

Answer:

Below

Step-by-step explanation:

All figures are squares. The area of a square is the side times itself

Let A be the area of the big square and A' the area of the small one in all the 5 exercices

51)

● (a) = A - A'

A = c^2 and A' = d^2

● (a) = c^2 - d^2

We can express this expression as a product.

● (b) = (c-d) (c+d)

■■■■■■■■■■■■■■■■■■■■■■■■■■

52)

● (a) = A-A'

A = (2x)^2 = 4x^2 and A'= y^2

● (a) = 4x^2 - y^2

● (b) = (2x-y) ( 2x+y)

■■■■■■■■■■■■■■■■■■■■■■■■■■

53)

● (a) = A-A'

A = x^2 and A' = y^2

● (a) = x^2-y^2

● (b) = (x+y) (x-y)

■■■■■■■■■■■■■■■■■■■■■■■■■■

54)

● (a) = A-A'

A = (5a)^2 = 25a^2 and A' =(2b)^2= 4b^2

● (a) = 25a^2 - 4b^2

● (a) = (5a-2b) (5a+2b)

■■■■■■■■■■■■■■■■■■■■■■■■■■

55)

● (a) = A - 4A'

A = (3x)^2 = 9x^2 and A'= (2y)^2 = 4y^2

● (a) = 9x^2 - 4 × 4y^2

● (a) = 9x^2 - 16y^2

● (a) = (3x - 4y) (3x + 4y)

Answer:

[tex] IJ = 2(KL) [/tex]

Step-by-step explanation:

From the information given, the smaller figure was dilated on a scale factor of 2, to produce the bigger figure. In essence, the bigger figure is times 2 of the smaller figure.

Therefore, line IJ would be twice the length of KL.

The relationship that both lines have can be represented as: [tex] IJ = 2(KL) [/tex]

Answer:

c = 7

Step-by-step explanation:

ax^2 + bx + c = 0

3x^2 + 5x + 7 = 0

c = 7

Answer:

4x+11

Step-by-step explanation:

you have to add the like terms,in this case the like terms are 7 and 4.4x isn't a like term cause it has a variable.

so you just have to add 7+4

4x+11

I hope this helps

Step-by-step explanation:

hope this may help you tq

Answer:

The first statement is incorrect

Step-by-step explanation:

1 1/5 is positive so it is greater than the negative numbers

-2 2/5 is more negative than -1 3/5 so it is to the left on the number line

-2 2/5 < -1 3/5 < 1 1/5

11/5  < -2 1/5 is not correct  because 1 is bigger than -2

Answer:

a) 3 x 20 = 60

b) -2x20 = -40

question c and d are unclear as we do not know how many questions were wrong and how many were not answered.

Sorry but I hope that helped

Answer:

a)  60 points

b)  0 point

c)  22 points

d)  -11 points

Step-by-step explanation:

a)  20 * 3 = 60 points (all answered correct)

b)   0 point (Minimum score if you don't answer any of the questions)

c)  10 * 3 = 30 points

    (14 - 10)  * -2 = -8 points

    right minus wrong =  30 - 8 = 22 points  

d)  5 * 3 = 15 points

    (18 - 5) * -2 = -26 points

    right minus wrong = 15 - 26 = -11 points

Answer:

as it is cbe the volume of cube is l*l*l

Step-by-step explanation:

the answercis 5*5*5= 125

Step-by-step explanation:

526 133 3821

P: 12345

j _o _I _n g _I _r l

o. n z-oo-o-m

Answer:

sin(A) = 5/13 ≈ 0.38

cos(B) = 5/13 ≈ 0.38

tan(A) = 5/12 ≈ 0.42

Step-by-step explanation:

If you need more explanations just say it :)

Answer:

I hope your dreams come true! Beileve in your self! and do ur best <3

Answer:

Needed to make one band = 3/5 / 6 meters.

The solution is 1/10 meters.

Step-by-step explanation:

The expression is 3/5 / 6

= 3/5 * 1/6

= 3/30

= 1/10

Answer:

6 x (3/5)

1/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)

Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games)

Step-by-step explanation:

The unit rate is the rate per unit of a quantity, that is the rate at which the denominator has been made a unit or one

The given parameters are;

The number of hours of homework or reading Jonathan needs to do for his parents to allow him to play video games for 30 minutes = 2 hours

The number of hours of homework or reading Lucas needs to do for his parents to allow him to play video games for 30 minutes = 1.5 hours

We note that 30 minutes = 0.5 hours

For Jonathan we have

Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)

Unit rate = (2 hours)/(0.5 hours) = 4 hours of reading or homework per hour of paying video games

Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)

For Lucas we have

Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)

Unit rate = (1.5 hours)/(0.5 hours) = 3 hours of reading or homework per hour of paying video games

Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games).