Question 5 options:
The radius of a circle is 18.4 inches. The circle's circumference is about ___ inches.

Use 3.14 for ​.

Answer:

-2

Step-by-step explanation:

Given equation

x - 2y = 4

2y = x - 4

y = ( x - 4 ) / 2

y = x/2 - 4 /2

y = x/2 - 2

Comparing with y = mx + b

y-intercept (b) = - 2

Hope it will help :)❤

Answer:

The projectile will hit the ground after 38.8 seconds.

Step-by-step explanation:

You know that the height s (t) in feet of the projectile after t seconds is given by the function

s(t) = - 16t² + 600t + 800.

To know the time at which the projectile will hit the ground, you must replace s(t) by height 0:

0=- 16t² + 600t + 800

This is a quadratic function of the form ax2 + bx + c, where a= -16, b=600 and c=800.

To solve a quadratic function, you must apply the expression:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

In this case:

[tex]x1,x2=\frac{-600+-\sqrt{600^{2}-4*(-16)*800 } }{2*(-16)}[/tex]

Solving:

[tex]x1,x2=\frac{-600+-\sqrt{360000+51200 } }{-32}[/tex]

[tex]x1,x2=\frac{-600+-\sqrt{411200 } }{-32}[/tex]

[tex]x1,x2=\frac{-600+-641.25 }{-32}[/tex]

So:

[tex]x1=\frac{-600+641.25 }{-32}[/tex]

[tex]x1=\frac{41.25 }{-32}[/tex]

x1= -1.289 seconds

and

[tex]x2=\frac{-600-641.25 }{-32}[/tex]

[tex]x2=\frac{-1241.25 }{-32}[/tex]

x2= 38.789 ≅ 38.8 seconds

Time cannot be negative. So, the projectile will hit the ground after 38.8 seconds.

Answer:

[tex]m=-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{9-10}{6-4}[/tex]

Answer:

She has completed 4 problems

Step-by-step explanation:

Take the total number of problems and multiply by the percent completed

20 * 20%

20 * .20

4

She has completed 4 problems

Answer:

4

Step-by-step explanation:

Answer:

the answer is D :)

Step-by-step explanation:

Answer:

5 / 8

Step-by-step explanation:

Total possible outcomes = (1, 2, 3, 4, 5, 6, 7, 8)

Odd outcomes = (1, 3, 5, 7)

Outcomes > 7 = 8

Required outcomes = (1, 3, 5, 7, 8)

Number of required outcomes = 5

P(pointer stops on odd or number > 7) = required outcome / Total possible outcomes

P(pointer stops on odd or number > 7) :

= 5 / 8

Answer:

1/9

Step-by-step explanation:

P(G3 and R6) = 2/6 x 2/6 = 1/9 simplified

Answer:

a. x = 180 - (j + k)

b.

j + k = (5x - 2) + (2x - 2) = 7x - 4

l = x

x = 180 - (7x - 4)

x = 180 - 7x + 4

8x = 184

x = 184/8

x = 23

l = 23°

j = 5x - 2

j = 5 × 23 - 2

j = 115 - 2

j = 113°

k = 2x - 2

k = 2 × 23 - 2

k = 46 - 2

k = 44°

or k = 180 - (23 + 113) = 180 - 136 = 44°

Answer:

A.

Explanation:

4 goes up 2 to 6. 6 goes up 3 to 9. 9 goes up 4 to 13. Therefore, you can expect 13 to go up 5 to 18, and 18 to go up by 6 to 24.

Answer:

A = 11²/{4π}

Step-by-step explanation:

The circumference equation is C = 2πr.  Thus, r = C / (2π), and:

         C²                                                   (22π)²          2²11²π²             11²  

r² = ----------     so, if C = 22π units, r² = -------------- = ---------------- = -------------

       (2π)²                                                    (2π)^4        (2π)²(2π)²       (2π)²

             11²π²

or  r² = ---------------

The area equation for a circle is A = πr² which here is π·11²/(2π)²

This reduces to 11²/{4π}

Answer:

hello your question has a missing diagram attached below is the missing diagram

answer :  

Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )

Step-by-step explanation:

when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between  the given circles and then construct a line through it

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points.  If your in FLVS, it would be in lesson 7.04.  I also got this right on my test.  Good luck!

Answer:

[tex]Length = Width = 6\ units[/tex]

Step-by-step explanation:

Given

[tex]Area=36[/tex]

Required

The least possible material

Sandboxes usually, are rectangles or squares.

Using the above assumption, the area is calculated as:

[tex]Area= Length * Width[/tex]

[tex]Area= L* W[/tex]

[tex]L * W = 36[/tex]

Make L the subject

[tex]L = \frac{36}{W}[/tex]

The material of the outer edge is calculated by the perimeter.

[tex]Perimeter = 2 * (L +W)[/tex]

[tex]P = 2 * (L + W)[/tex]

Substitute [tex]L = \frac{36}{W}[/tex]

[tex]P = 2 * (\frac{36}{W} + W)[/tex]

Open bracket

[tex]P = \frac{72}{W} + 2W[/tex]

[tex]P = 72W^{-1} +2W[/tex]

To get the minimum material needed, we differentiate P

[tex]P' = -72W^{-2} + 2[/tex]

Set: [tex]P' = 0[/tex]

[tex]-72W^{-2} + 2 = 0[/tex]

Collect like terms

[tex]72W^{-2} = 2[/tex]

Divide both sides by 72

[tex]W^{-2} = \frac{2}{72}[/tex]

[tex]W^{-2} = \frac{1}{36}[/tex]

Rewrite as:

[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]

Take positive square roots of both sides

[tex]\frac{1}{W} = \frac{1}{6}[/tex]

Cross multiply

[tex]W = 6[/tex]

Recall that: [tex]L = \frac{36}{W}[/tex]

So, we have:

[tex]L =\frac{36}{6}[/tex]

[tex]L = 6[/tex]

Hence, the dimension with the littlest material as possible is:

[tex]Length = Width = 6\ units[/tex]

Answer:

Step-by-step explanation:

h

Answer:

opposite angles

Step-by-step explanation:

Tn = a + (n-1) d

= 3 + (n-1) (-4)

= 3 -4n +4

= 7-4n

hope it helped you dear

Answer:

A

Step-by-step explanation:

I believe it is A If I remember correctly

Complete Question

Tyrone is making 52 cookies for a party. Some will be a pecan cookies and some will be honey ginger. The ratio of pecans to a honey ginger is 7:6. How many of each kind of cookie will he make

Answer:

28 pecan cookies and 24 Honey ginger cookies

Step-by-step explanation:

From the above question

Pecans : Honey ginger = 7:6

Sum of Proportion = 7 + 16 = 13

Total number of cookies = 52

Number of pecans

= 7/13 × 52 = 28 pecans cookies

Number of Honey ginger

= 6/13 × 52 = 24 Honey ginger cookies

Therefore, we have:

28 pecan cookies and 24 Honey ginger cookies

Answer:

the length of the rope gives the circumference of the tree trunk. the tree trunk is in the shape of a circle. the circumference of a circle = πD. the inches would be converted to foot and the diameter would be determined from the length of the  rope.

7 foot

Step-by-step explanation:

Here is the full question :

A group of students wants to find the diameter of the trunk of a young sequoia tree. The students wrap a rope around the tree trunk. the length is 21 feet 8 inches

Explain how they can use the length to determine the diameter of the tree trunk to the nearest half foot

What is the diameter of the tree trunk

the circumference of a circle = πD

π = 22/ 7

D = diameter

we need to convert 21 feet 8 inches to foot

1 inch = 0.0833333 foot

8 x 0.0833333 = 0.667

0.667 + 21 = 21.667 foot

21.667 = 22/7 x diameter

diameter = 21.667 x 7/22 = 6.89 foot

The nearest half foot of 6.89 is 7.

7 foot

Answer:

? = 13

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

?² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )

? = [tex]\sqrt{169}[/tex] = 13

Answer:

13

Step-by-step explanation:

If we use the Pythagorean theorem we have

hypothenuse^2 = 12^2 + 5^2 = 144 + 25 = 169

hypothenuse = √169 = 13

Step-by-step explanation:

Calculating your loan-to-value ratio

Current loan balance ÷ Current appraised value = LTV.

Example: You currently have a loan balance of $140,000 (you can find your loan balance on your monthly loan statement or online account). ...

$140,000 ÷ $200,000 = .70.

Current combined loan balance ÷ Current appraised value = CLTV.

Answer:

216

Step-by-step explanation:

(6 to the -4th) * (6 to the 7th)

Answer:

For a function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

While a reflection across the x-axis is written as:

g(x) = -f(x)

So, if the negative sign is outside the transformation, like in:

g(x) = -f(x + 2) - 8

We can conclude that this is a reflection over the x-axis.

While if the "x" inside the function has a negative sign, like in:

g(x) = 5*f(-x + 4) - 3

The reflection is over the y-axis.

Answer: 4 black marbles, 3 blue, 2 green, and one red.

Step-by-step explanation:

Answer:

19 yards 3 ft

60 ft

20 yards

Answer:

B

Step-by-step explanation:

Use the definition of a logarithm,  log b ( x ) = y  ⟹  b y = x , to convert from the logarithmic form to the exponential form. 10^ 4 = x

The exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by: Option B: 10^4 = x

When you raise a number with an exponent, there comes a result.

Lets say you get [tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.

Log with base 10 is written as [tex]\log(x)[/tex] simply.

The given logarithmic equation is;

[tex]\log x = 4[/tex]

Since, log with base 10 is written as [tex]\log(x)[/tex] simply, therefore, we have:

[tex]\log_{10} x = 4[/tex]

Using the definition of logarithm, we get;

[tex]x = 10^4[/tex]

Equivalently, [tex]10^4 = x[/tex] (option B).

Thus, the exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by: Option B: 10^4 = x

Learn more about logarithm here:

https://brainly.com/question/20835449