Using the ruler postulate, find the distance between-9 and 2.

Answer:    [tex]f'(1)=\dfrac{4}{2y+1}[/tex]

Step-by-step explanation:

To find the tangent, you need to find the derivative with respect to x.

Then substitute x = 1 into the derivative.

Given:         0 = 2x² - xy - y²

Derivative:  0 = 4x - y' - 2yy'

Solve for y': 2yy' + y' = 4x

                   y'(2y + 1) = 4x

                   [tex]y'=\dfrac{4x}{2y+1}[/tex]

[tex]\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}[/tex]

Answer:

[tex]351.8mi^2[/tex]

Step-by-step explanation:

Hey there!

Well the formula to find the surface area of a cylinder is,

[tex]2\pi rh+2\pi r^2[/tex],

So with the h and r being 10 and 4 lets plug it in.

[tex]2\pi (4)(10)+2\pi (4)^2[/tex]

Let's solve!

2π40 + 2π16

80π + 32π

251.3 + 100.5

= [tex]351.8mi^2[/tex]

Hope this helps :)

Answer:

351.9 mi^2

Step-by-step explanation:

The surface area of a cylinder can be found using the following formula.

[tex]SA=2\pi r^2+2\pi rh[/tex]

We know that the height of the cylinder is 10 miles and the radius is 4 miles.

h= 10 mi

r= 4 mi

[tex]SA=2\pi (4 mi)^2+2\pi (4 mi)(10 mi)[/tex]

First, evaluate the exponent 4 mi^2.

4 mi^2= 4 mi * 4 mi = 16 mi^2

[tex]SA=2\pi 16 mi^2+2\pi (4 mi)(10 mi)[/tex]

Next, multiply 16 and 2pi

[tex]SA=100.530965 mi^2+2\pi(4 mi)(10mi)[/tex]

Next, multiply 4 and 10

[tex]SA=100.530965 mi^2+2\pi40mi^2[/tex]

Multiply 40 and 2 pi

[tex]SA=100.530965 mi^2+251.327412mi^2[/tex]

Add the 2 numbers together

[tex]SA=351.858377 mi^2[/tex]

Round to the nearest tenth. The 5 in the hundredth place tells us to round the 8 to a 9 in the tenth place.

[tex]SA=351.9 mi^2[/tex]

The surface area of the cylinder is about 351.9 square miles.

Answer:

The population in 2003 was 234  million

Step-by-step explanation:

In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:

p(y)=ir^t

According to the given data:

p(y)=233 million

i=231 million

t =1999-1991

Therefore, 233 million=231 million r^(1999-1991)

(233 million/231 million)^(1/8)=r

p(y)=231 million(233 million/231 million)^((y-1991)/8)  

Therefore, in 2003   p(2003)=231 million(233 million/231 million)^((2003-1991)/8)

p(2003)=231 million(233 million/231 million)^(1.5)

p(2003)=234  million

The population in 2003 was 234  million

Answer:

Inconsistent; No Solution

Step-by-step explanation:

I used a graphing tool to graph the equations. When graphed, the lines are parallel.  The lines have the same slope but a different y-intercept. This means that there is no solution.

The system is inconsistent, and therefore has no solution.

Answer: 12 days

Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day

He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.

He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days

Answer:

Add the two equations: 5y=5 so y=1, therefore x=3-2y=1.

What did you mean by Dx? If it's the determinant for x then it's:

| 3 2 |

| 2 3 | = 9-4=5

Dy is:

| 1 3 |

| -1 2 | = 2-(-3)=5

And D is:

| 1 2 |

| -1 3 | = 3-(-2)=5

x=Dx/D=5/5=1 and y=Dy/D=5/5=1

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

Answer:

Step-by-step explanation:

sec (-x)-sin (-x) tan (-x)=cos x

sec(x)-(-sin x)(-tan x)=cos x

1/cos x-sin x(sin x/cos x)=cos x

multiply by cos x

1-sin ²x=cos²x

or 1=sin²x+cos²x

which is true.

Answer:

P(white region) = 0.75 or 75%

Step-by-step explanation:

Find the area of the shaded region:

A = πr²

A = π(2)²

A = 12.56

Find the area of the entire dartboard:

A = πr²

A = π(4)²

A = 50.24

Find the probability that the dart hits the blue region:

P(blue region) = Area of blue region/ Total Area

P(blue region) = 12.56 / 50.24

P(blue region) = 0.25

As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1

P(white region) = 1 - P(blue region)

P(white region) = 1 - 0.25

P(white region) = 0.75

Answer:

48 cups

Step-by-step explanation:

4 gallons = 64 cups

1 gallon =  64 ÷ 4

1 gallon = 16 cups

3 gallons = 16 * 3 = 48 cups

Answer:

48 cups are in 3 gallons

Step-by-step explanation:

In the picture, it says that there are 64 cups in 4 gallons.

If we divide [tex]\frac{64}{4}[/tex], (to find out how many cups are in 1 gallon) we get 16 cups.

And 16 x 3 equals 48 cups.

Hope dis helps you

Answer:

D

Step-by-step explanation:

Since AC is 18

Midpoint is B

Therefore AB is 18÷2=9.

Hope this helps.

The length of AB shown in the circle is 9.

Hence option D is correct.

In the given circle

The Centre of the circle is o

Length of chord  AC = 18

Since we know that,

The line segment connecting any two locations on a circle's circumference is known as the chord of the circle. It should be emphasized that the diameter is the circle's longest chord, which runs through its centre.

And we can see that,

B is the midpoint of the chord AC of the circle

Therefore The length of AB is just half of chord AC

Therefore,

AB = AC/2

And it is given that AC = 18

Therefore,

AB = 18/2

Hence,

AB = 9

To learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

it is the last one

Step-by-step explanation:

by simplifying powers it becomes

8g^8/64h ^5

simplifying it further gives

g^8/ 8h^5

Answer:

[tex]\boxed{\sf \ \ 36 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to sum all sides, we know all of them except two sides that we can guess as this is

for the horizontal one 11 - 2 - 2 - 2 = 11 - 6 = 5

for the vertical one 5 - 3 = 2

so in total it comes

11 + 5 + 2 + 2 + 2 + 2 + 2 + 2 + 5 + 3 =16 + 12 + 8 = 16 + 20 = 36

hope this helps

Answer:

x ≤ -1

Step-by-step explanation:

The domain is the x-values.  Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:

x ≤ -1

Answer:

(D) Their angle measures cannot be equal.

Step-by-step explanation:

(A) It's fine if both angles are acute.

(B) None of the angles can be a right angle.

(C) Their sum has to be 90°.

(D) Their angle measures can be equal.

Answer:

Step-by-step explanation:

D is correct.  Complementary angles can certainly be equal (e. g., 45 and 45 degrees) or unequal (e. g., 30 and 60 degrees).

Answer:

(x-9)(x+2)

Step-by-step explanation:

x^2-7x-18

Factor

What two numbers multiply to -18 and add to -7

-9*2 = -18

-9+2 = -7

(x-9)(x+2)

Answer:

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

C = 2 * pi * 3.5

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Answer:

The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.

Step-by-step explanation:

Let's answer the question correctly this way:

Population of New York State = 19'650,000

Population of New York City = 8'406,000

Population that do not live in New York City = 19'650,000 - 8'406,000

Population that do not live in New York City = 11'244,000

Population that do not live in New York City in scientific notation = 1.1244 * 10⁷

The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.

Answer:

y ≤ x + 3

y ≤ -2x + 3

Step-by-step explanation:

Graph attached shows two solid lines having equal y-intercepts as 3 units.

Since one line passes through two points (0, 3) and (-3, 0),

Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                  = [tex]\frac{3-0}{0+3}[/tex]

                                  = 1

Let the equation of the this line is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line having slope = 1 and y-intercept = 3 units,

y = 1.x + 3

y = x + 3

Since, shaded region shown is on the left of the line y = x + 3

Therefore, y ≤ x + 3 will be the inequality with shaded area in green.

Slope of the second line passing through (0, 3) and (1.5, 0)

m' = [tex]\frac{3-0}{0-1.5}[/tex]

    = -2

Therefore, equation of the second line will be,

y = (-2)x + 3

y = -2x + 3

Since shade area (In yellow) is below the given solid line, equation of the inequality will be,

y ≤ -2x + 3

Answer:

(Picture below)

Step-by-step explanation:

To solve this you will first need to make a coordinate plane that is 10 by 10.

After you have done that you will need to know what slope intercept form is. Slope intercept form is [tex]y=mx+b[/tex] and the equation that was given was [tex]y=-x-6[/tex]. In the formula [tex]y=mx+b[/tex], [tex]m[/tex] is the slope or rise over run and b is where the line crosses the y axis.

Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x  we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.

Answer:

7. 1/3    8. 3/8

Step-by-step explanation:

7. 5 - 1/6 chance           1 out of 6 possibilities

6 - 1/6 chance           1 out of 6 possibilities

1/6+1/6 = 1/3

8. 3 a's out of 8 letters. 3/8

Answer:

7. 2/3

8. 3/8

Step-by-step explanation:

5 - 1/6

1/6

6 - 1/6

1/6

1/6+1/6 = 2/6 = 1/3

3 out of 8

3/8

Answer:

pen: $1.50 notebook: $2.00

Step-by-step explanation:

4×1.50 =6

5×2 = 10

6+10= 16

3×1.50= 4.50

8×2= 16

4.50 + 16 = 20.50

Answer:

45 square inches

Step-by-step explanation:

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom

Total surface  =  surface area of the base square + area of 4 triangles

Calculate the surface area of the base square

surface area of the square =  s^2

where s= side length

s=3 in

The surface area of the base  =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles  =  4 x 9  

= 36 square inches

Therefore,

Total surface  =  surface area of the base square + area of 4 triangles

=  9 + 36

= 45 square inches

Answer:

IT'S 216 TRUST ME!

Step-by-step explanation:

Answer:

Hey there!

-6 ft is 6 ft below sea level.

Hope this helps :)

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5) now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Answer:

1

Step-by-step explanation:

If z < 5, then both |z-6| and |z-5| gets negative value, so:

Answer is: 1

Answer:

ob:1

Step-by-step explanation:

ob:1

Answer \

c land on yellow 90 time

Answer:

all but B & D

Step-by-step explanation:

the sum of all data=314

314-120=194

164-44=150

I WAS WRONG THE ANSWERS WERE A AND D: DONT BELIEVE ME VIEW COMMENTS BELOW

Answer:

This is WAYYYYYYYYYYY too hard. You should ask ur teacher or friends. And parents.

Assuming he works at a constant rate, the daily rate Mark rakes lawns in the fall is 40% of the daily rate he mows lawns in the summer.

Fall:

5 neighbors' lawns / 2.5 hours = 2 lawns per hour

Summer:

6 neighbours' lawns / 1.2 hours = 5 lawns per hour

2 x 100% / 5 = 40%

2 is 40% of 5

Answer:

Yes you are correct.

Step-by-step explanation:

The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!

Answer:

600 blocks

Step-by-step explanation:

Well this question is asking us to find the volume of the rectangular prism.

Dimensions)

L: 12

W: 10

H:5

The formula for the volume of a rectangular prism is l*w*h or B*h.

So 12*10 = 120

120 * 5 = 600 blocks

Thus,

the fort contains 600 blocks.

Hope this helps :)

Answer:

[tex]\boxed{280\ blocks}[/tex]

Step-by-step explanation:

The blocks at the base are:

Length * Width = 10 * 12 = 120 blocks

On the 2nd Layer:

=> 9+11+9+11 = 40 blocks

There are 3 more layers as the 2nd layer:

So, the blocks of these 4 layers are => 4 * 40 = 160 blocks

Total Blocks = Base Blocks + Layer Blocks

=> 120 + 160

=> 280 blocks