how do I
graph y+2= - 5/7 (x+6)

Answer:

Rock D.

Step-by-step explanation:

We can assume that the force that the catapult does is always the same.

So, here we need to remember Newton's second law:

F = m*a

force equals mass times acceleration.

Where acceleration is the rate of change of the velocity.

So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.

So, we can rewrite:

a = F/m

So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.

Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.

So we can assume that rock D is the correct option.

Answer:

7√2

Step-by-step explanation:

Leg of the right triangle = greater base - smallest base = 10- 3 = 7

Leg 2 = height = 7

x = [tex]\sqrt{7^2 + 7^2} = \sqrt{49 * 2} = 7\sqrt{2}[/tex]

Answer:

B

Step-by-step explanation:

LA = radius x 2 x pi x height = 6 x 2 x pi x 13 = 489.8 ft^2

Answer:

You haven't given a picture of the graph dear.

The point (-3,-2) lies in the third quadrant.

Answer:

5

Step-by-step explanation:

(5/6) / (1/6) = 5

Answer:

5 batches

Step-by-step explanation:

Divide yesterday's batches by the usual.

(5/6)/(1/6) = 5

Since it only takes 1/6 to make a batch and they used 5x that we know they made 5 batches.

Answer:

x = 11.

Step-by-step explanation:

√(x - 2) + 8 = x

√(x - 2) = x - 8

Square both sides:

x - 2 = x^2 - 16x + 64

x^2 - 17x + 66 = 0

(x - 6)(x - 11) = 0

x = 6, 11.

Test for an extraneous solution:

x = 6:

Left side = √(6-2) + 8 = 10

Right side = 6

x = 11:

Left side = √9 + 8 = 11

Right side =  11

So x = 6 is extraneous.

here,

f(x)=x-4

then, f(-3.2)=(-3.2)-4

[ replace the value of x in the equation by -3.2]

therefore,f(-3.2)=-7.2 answer....

HOPE THIS HELPS YOU.HAVE A NICE DAY/NIGHT.....

9514 1404 393

Answer:

  (a)  f(-3.2) = -7

Step-by-step explanation:

The ceiling function returns the smallest integer greater than or equal to its argument value. For an argument of -3.2, the next larger integer is -3.

  [tex]f(-3.2)=\lceil -3.2\rceil-4=-3-4=\boxed{-7}[/tex]

Answer:

78 miles

Step-by-step explanation:

Given that:

Original length, L = 47 miles

Additional length (miles) added per day, = 1 mile

Representing as an equation :

L(D) = original length + additional length per day * number of days

Let, D = number of days

L(D) = 47 + D

Length after 31 days :

L(31) = 47 + 31

= 78 miles

9514 1404 393

Answer:

  64.6

Step-by-step explanation:

One standard deviation is 4.3. Then +2 standard deviations is ...

  (+2)(4.3) = +8.6

This amount added to the mean gives ...

  56 +8.6 = 64.6 . . . . +2σ from the mean

Answer:

4.5 hours.

= 4 hours and 30 minutes.

Step-by-step explanation:

Distance = Rate x Time

in this case, D = 459 miles

because each driver will drive for the same length of time, we can use their average rate

so, D = average rate x Time

459 miles = (53mph + 49mph)/2 x Time

459 miles / 51mph = 9 hours

Since the total time is 9 hours, each driver will drive for 4 hours 30mins.

Proof: 53mph x 4.5h + 49mph x 4.5h

= 238.5m + 220.5m = 459 miles

Answer:

C(min) = 0.5*V  +  √V/1.256  $

Step-by-step explanation:

The volume of a circular cylinder is: V(c)  = π*r²*h    where r is the radius of the circumference of the base and h is the height

The cost of the can is = the cost of (base and top) + lateral cost

Base surface = top surface =  π*r²

Then cost of ( base + top ) is = (2* π*r² )*0,1

Lateral surface is  = 2*π*r*h

Then cost of lateral surface is:  (2*π*r*h)*0,5

Total cost C(t) = (2* π*r² )*0,1  +  (2*π*r*h)*0,5

V = π*r²*h

Total cost  as a function of (V >0 a parameter) and r then

h  =  V / π*r²

C(V,r)  =  (2* π*r² )*0,1  +  π*r*(V / π*r²)

C(V,r)  =  0.2*π*r²  + V*/r

Taking derivatives on both sides of the equation we get:

C´(V,r)  =  2*0.2*π*r  -  V/r²

C´(V,r)  =  0             0.4*π*r  - V/r  = 0

Solving for r

0.4*π*r² - V = 0      ⇒  1.256*r²  = V          r = √ V/ 1.256    cm

and  h  =  V /π *  (√ V/ 1.256)²

h =  1/ 1.256*π

h  =  0.254 cm

C(V,r)  =  0.2*π*r²  + V*/r

C(min) = 0.2*π* (√ V/ 1.256)²   +  V/ √ V/ 1.256

C(min) =  0.2*π*V/1.256  +   V/ √ V/ 1.256

C(min) = 0.5*V  +  √V/1.256  $

Answer:

[tex]area \: = \frac{165}{360} \times \pi {8}^{2} \\ = 92.1533845053 \\ = 92 \: in^{2} [/tex]

Answer:

50% or 3/6 (1/2).

Step-by-step explanation:

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \: 1 \frac{1}{15} \:(or) \: 1.0667}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{4}{5} \div \frac{3}{4} [/tex]

= [tex] \: \frac{4}{5} \times \frac{4}{3} [/tex]

= [tex] \: \frac{4 \times 4}{5 \times 3} [/tex]

= [tex] \: \frac{16}{15} [/tex]

= [tex] \: 1 \frac{1}{15} [/tex]

( OR )

= [tex] \: 1.0667[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35\:♨}}}}⋆[/tex]

Step-by-step explanation:

[tex] \frac{4}{5} \div \frac{3}{4} \\ = \frac{4}{5} \times \frac{4}{3} \\ = \frac{16}{15} \\ thank \: you[/tex]

Answer:

[tex]k=-\frac{1}{42}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Given the equation [tex]y=14x+2[/tex], we can identify the slope (m) to be 14. This means that the slope of a perpendicular line would have to be [tex]-\frac{1}{14}[/tex] since that is its negative reciprocal.

In the equation [tex]y=k*3x+2[/tex], the slope would be 3k. 3k would be equal to [tex]-\frac{1}{14}[/tex]:

[tex]3k=-\frac{1}{14}[/tex]

Divide both sides by 3 to solve for k

[tex]k=-\frac{1}{42}[/tex]

I hope this helps!

Answer:

13km per day

Step-by-step explanation:

If this does not involve complex rules then we can calculate the rate just by dividing 52 with 4 which results 13km per day

Goodluck

Answer:

Given function:

This is the third degree polynomial, so it has total 3 roots.

Lets factor it and find the roots:

The roots are:

It has highest degree 3 so 3 roots

Lets find

Roots are

Answer:

3.6661

3.6661

A, Adding a constant does nothing to the standard deviation

Step-by-step explanation:

I'm gonna assume s=standard deviation

The standard deviation is just the square root of the second moment minus the first moment squared

Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely

Let's start by calculating the first moment (AKA The mean)

1/5(8+16+14+8+16)= 12.4

Let's then find the second moment

1/5(8²+16²+14²+8²+16²)= 167.2

√(167.2-12.4²)=3.6661

b.

While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun

same process

.2(16+24+22+16+24)= 20.4

.2(16²+24²+22²+16²+24²)=429.6

√(429.6-20.4²)= 3.6661

Answer:

12 meters

20cm*60 = 1200cm = 12 meters

100cm = 1m btw

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

Explanation:

The double tickmarks show that segments DE and EB are the same length.

The diagram shows that DB = 16 cm long

We'll use these facts to find DE

DE+EB = DB

DE+DE = DB

2*DE = DB

DE = DB/2

DE = 16/2

DE = 8

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

Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9

Use the pythagorean theorem to find x

a^2+b^2 = c^2

8^2+x^2 = 9^2

64+x^2 = 81

x^2 = 81 - 64

x^2 = 17

x = sqrt(17)

That makes EC to be exactly sqrt(17) units long.

If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6

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

So,

AC = AE+EC

AC = 6 + sqrt(17)

AC = 10.1231056256177

AC = 10.1 cm approximately

Answer:

Step-by-step explanation:

128.1

Answer:

260

Step-by-step explanation:

145-15=130

130 x 2 = 260

Answer:

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Step-by-step explanation:

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Answer:

[tex]Rate = -10[/tex]

Step-by-step explanation:

Given

The table

Required

The average rate if change over (4,6)

This is calculated as:

[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

From the table:

[tex]f(6) = -37[/tex]

[tex]f(4) = -17[/tex]

So:

[tex]Rate = \frac{-37 --17}{2}[/tex]

[tex]Rate = \frac{-37 +17}{2}[/tex]

[tex]Rate = \frac{-20}{2}[/tex]

[tex]Rate = -10[/tex]

Answer:

8,-9,9

Step-by-step explanation:

Answer:

We know that:

H(x) = |1 - x^3|

and:

We want to write H(x) as  f( g(x) ) , such that for two functions:

So we want to find two functions f(x) and g(x) such that:

f( g(x) ) = |1 - x^3|

Where neither of these functions can be an identity function.

Let's define g(x) as:

g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )

Answer:

80 degrees

Step-by-step explanation:

the angles in a triangle all add up to 180 degrees

Answer:

Let the third angle be [tex]{x°}[/tex]

Since the sum of all three angles of a triangle is 180°,

We have

40°+60°+[tex]{x}[/tex] = 180°

→ 100+[tex]{x}[/tex] = 180°

[tex]{x}[/tex] = 180-100 = 80°

The measure of the third angle is 80°

Answer:

51, 104, and the next number of series is 185

Step-by-step explanation:

I hope this will help u

Answer:

the next number in the sequence should be 45