4.
A turtle crawls 567 mm in 27 minutes. How far (measured in cm) can the turtle
crawl in a minute?

Answer:

Hello,

Step-by-step explanation:

1)

[tex]g(x)=4*\dfrac{x-3}{5} \\g(-7)=4*\dfrac{-7-3}{5} =4*\dfrac{-10}{5} =4*(-2)=-8\\\\[/tex]

2)

[tex]f(a)=-|-3a-1|\\f(-1)=-|-3*(-1)-1|=-|3-1|=-|2|=-2\\\\[/tex]

3)

[tex]f(a)=4^{a+2}+3\\f(1)=4^{1+2}+3=4^3+3=64+3=67\\\\[/tex]

4)

[tex]p(t)=\dfrac{5\sqrt{2t+8} }{4} +3\\p(4)=\dfrac{5\sqrt{2*4+8} }{4} +3\\=\dfrac{5\sqrt{16} }{4} +3\\=\dfrac{5*4 }{4} +3\\=5+3\\=8\\[/tex]

Step-by-step explanation:

a+b+c=22

abc=?

2+3+17=22

2×3×17=102

Answer:

The numbers are 2, 7 and 13

Step-by-step explanation:

2+7+13 = 22

2X7X13 = 182

Answer:

k=7

Other root=3

Step-by-step explanation:

If x=4 is a root of the given equation, then it satisfies the given equation.

4^2-k(4)+12=0

We can solve this equation for k.

16-4k+12=0

28-4k=0

28=4k

28/4=k

7=k

So the equation is x^2-7x+12=0

Factor form is (x-3)(x-4)=0 since-3(-4)=12 and -3+-4=-7.

This implies x=3 and x=4 are roots.

Answer:

Step-by-step explanation:

6cos^2(x) + 7cos(x) +2 = 0

Call cos(x) = y to change this to something a little bit more familiar.

6y^2 + 7y + 2 =0

This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)

This equation factors into 2 possible answers

(3y + 2)(2y + 1) = 0

3y + 2  = 0

3y = - 2

y = - 2/3

2y + 1 = 0

2y = - 1

y = - 1/2

Now let's start with

cos(x) = - 1/2

That means that x is in quadrant two or three.

cos-1(1/2) = 60 degrees.

Quad 2: x = 180 - 60 =  120

Quad 3: x = 180 + 60 =  240

Now cos(x) = - 2/3

cos-1(2/3) = 48.19

Quad 2: x = 180 - 48.19 = 131.81

Quad 3: x  = 180 + 48.19 = 228.19

Answer:

First we need the formula to solving a cone :

[tex]V=\pi r^2\frac{h}{3}[/tex]

We substitute pi as 3.14!

62.8 is the answer

Why?

3.14 x 5 squared x 12/3 is 62.8

Therefore the answer is 62.8

Answer:

y=1 and x=2

Step-by-step explanation:

Add the two linear equation and you will have 2y=2, y=1. Plugging this in any equation, we have x=2

Answer:

The solution is (2,1)

Step-by-step explanation:

Set the two equations equal

y=3x-5 and y=-3x+7

3x-5 = -3x+7

Add 3x to each side

3x-5+3x = -3x+7+3x

6x-5 = 7

Add 5 to each side

6x-5+5 = 7+5

6x = 12

Divide by 6

6x/6 = 12/6

x=2

Now find y

y =3x-5

y=3(2)-5

y = 6-5

y=1

The solution is (2,1)

Answer:

factors of 36 are 1,2,3,4,6,9,12,18,and 36

We know

[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]

Answer:

Step-by-step explanation:

the dot means multiply

Answer:

p=8^9

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

integers like 5 or 4 can be put over one to be a fraction.

For example: 5/1 or 4/1

Answer:true

Step-by-step explanation:

they can

eg 1/1, 7/1

Answer:

u need to give more points for thouse kind of questions

Step-by-step explanation:

Answer:

Standard Form: y = 0.0625x²-0.375x+2.5625    

Graphing Form: y = (1/16)(x-3)²+2    

Step-by-step explanation:

Answer:

1.6<x<9.6

Step-by-step explanation:

Triangle says the sum of any 2 sides is bigger than the third.

Assume a,b,c are side measurements of a triangle.

So if you know two sides a and b then the third number, c, is such that |b-a|<c<a+b.

So just add the given numbers and find the positive difference.

5.6+4=9.6

5.6-4=1.6

Answer:

Below

Step-by-step explanation:

To find the volume of a sphere you can use this formula!

     V = 4/3πr^3

Plugging in the values....

V = 4/3π(49.5)^3

V = 5.08047 × 10^5

V = 5.1 x 10^5 in^3

If you wanted to write this is standard form it would be

V = 508047 in^3

Hope this helps!

Answer:

x³ (4x + 1)(4x - 1)

Step-by-step explanation:

Answer:

x^3 (4x-1)(4x+1)

Step-by-step explanation:

16x^5-x^3

Factor out x^3

16* x^2*x^3 - x^3

x^3(16x^2 -1)

The term inside the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

x^3 ( (4x)^2 -1^2)

x^3 (4x-1)(4x+1)

Answer:

y = -1/11

Step-by-step explanation:

-10y= y+ 1

-11y = 1

y = -1/11

[tex]\\ \sf\longmapsto -10y=y+1[/tex]

[tex]\\ \sf\longmapsto -10y-y=1[/tex]

[tex]\\ \sf\longmapsto -11y=1[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{1}{-11}[/tex]

Answer:

The score that they got on the IQ test is the dependent variable

Step-by-step explanation:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line. A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.

I hope this helps! Brainliest would be appreciated.

line is cool segment is cool ray is cool btw the other persons answer is right

Refer to the attachment

The complete version of the question is attached below :

The length of Cityscape Bike Path is [tex]3 \frac{1}{9} miles[/tex]

Given that :

Cityscape Bike Path is [tex]2 \frac{2}{3}[/tex]

times longer than Bay View Bike Path

Length of Bay View Bike Path = [tex] \frac{7}{6} miles[/tex]

Hence, to compute the length of Cityscape Bike Path :

Cityscape Bike Path = [tex]2 \frac{2}{3} \times [/tex] Length of Bay View Bike Path

Therefore, length of Cityscape Bike Path =

[tex]2 \frac{2}{3} \times \frac{7}{6} [/tex]

Length of Cityscape Bike Path =

[tex] \frac{8}{3} \times \frac{7}{6} = \frac{56}{18} = 3 \frac{1}{9} miles[/tex]

Hence, the length of Cityscape Bike Path is [tex]3 \frac{1}{9} miles[/tex]

Learn more : https://brainly.com/question/12213307

Answer:

D. Exponential growth

Step-by-step explanation:

Hope this helps

Function that is similar to exponential.

Option (A) is correct.

Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula  [tex]y=a(1-b)^{x}[/tex] wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

We can observe that

First, y increases as x increases

Last it is a function that is similar to exponential.

Function is an exponential decay.

Option (A) is correct.

Find out more information about exponential decay here

https://brainly.com/question/14355665

#SPJ2

Answer:

Domain is [tex]x \ge d[/tex]

You'll check the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d". So you'll have 3 boxes checked.

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

Explanation:

We cannot have a negative number under the square root, and get some real number output. For example, the result of [tex]\sqrt{-4}[/tex] isn't a real number.

That means we need to have the "x-d" under the square root to be 0 or larger.

[tex]x-d \ge 0\\\\x-d+d \ge 0+d\\\\x \ge d[/tex]

The domain is [tex]x \ge d[/tex] telling us that x = d is the smallest x value we can plug in

So that's why we check off the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d" as shown below.

Answer:

Angle BCD=35°

HOPE IT HELPS

Answer:

<b = 133

<c = 47

Step-by-step explanation:

<b and 133 are vertical angles and vertical angles are equal

<c and 133 form a straight line so they add to 180

<c+133 = 180

<c = 180-133

<c =47

Answer:

I think E

Step-by-step explanation:

You know the shortest building is 25 m.

to find the rest, use trigo so Tan(20)=opposite/adjacent.

Adjacent is 50. Do the math and add the answer with 25.

Answer:

The answer would be E. 43.2

According to TOA, The opposite side is tan(20) x adjacent side( 50m)

the answer is 18.2( to 1 dp). Add the height of the second building together with 18.2 and you will get ur answer. HOpe this helps:)

Answer:

If Point A (8,4) is reflected over point (6,−2), then that point becomes (4, -8).

Let me know if this helps!

Answer:

-

Step-by-step explanation: