1. Is it proportional?
2. If so, what is the constant of
proportionality? (unit rate)
3. Write an equation that
expresses the table in the
form
Y = KX

Given:

The logarithmic expression is:

[tex]\log_718[/tex]

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

[tex]\log_ba=\dfrac{\log_ca}{\log_cb}[/tex]

The given expression is:

[tex]\log_718[/tex]

Using the change-of-base formula, we get

[tex]\log_718=\dfrac{\log_c18}{\log_c7}[/tex]

Where, is a constant and c>0.

Let [tex]c=10[/tex], then

[tex]\log_718=\dfrac{\log_{10}18}{\log_{10}7}[/tex]

Therefore, the correct option is a.

Answer:

A -3-[tex]\sqrt{5\\} \\[/tex]

Step-by-step explanation:

I use the quadratic formula to solve

Answer:

D. -6 + 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The answer is D because to solve for X you use the quadratic formula which is...

-b±[tex]\sqrt{b^{2} - 4ac}[/tex]

now just plug in which would be

-6±[tex]\sqrt{6^{2} - 4(1)(4) }[/tex]

then solve and the final answer would be

-6 ± 2[tex]\sqrt{5}[/tex] but there is only one answer for this which is a positive that is how I got  

-6 + 2[tex]\sqrt{5}[/tex]

Answer:

y + 1 = -14(x - 2)^2y = -14(x - 2)^2 - 1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A vertical line will have the steepest slope

Answer:

140

Step-by-step explanation:

ap3x

Answer:

x+84=180

Step-by-step explanation:

a triangle has a total angle degrees of 180

Answer:

x + 84 = 180

Step-by-step explanation:

The sum of all the interior angles of a triangle is 180. So basically, x plus the other two angles would have to equal 180.

Answer:

224 student ride the bus to school each day.

Step-by-step explanation:

Answer:

(2,2)

Step-by-step explanation:

Midpoint formula, and plug in the numbers.

Hope this helps.

(x1+x2)/2,(y1+y2)/2

(1+3)/2,(3+1)/2

4/2,4/2

(2,2)

Answer:

x = 1/2

Step-by-step explanation:

8x-(4x-3)=5

Distribute the minus sign

8x -4x +3 = 5

Combine like terms

4x+3 =5

Subtract 3 from each side

4x+3-3 = 5-3

4x = 2

4x/4 = 2/4

x = 1/2

Answer:

1/9

Step-by-step explanation:

I figured it out

Answer:

Area is 40

perimeter is 26

Step-by-step explanation:

area = l×w

[tex]8 \times 5 = 40[/tex]

Perimeter = 2L +2W

[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]

Answer: d < 1

I used A app and it said that

Answer:

area = 110.72 m²

Step-by-step explanation:

area of square = 8 x 9 = 72 m²

area of triangle = 1/2 x 3 x 9 = 13.6 m²

area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²

total area = 72 + 13.6 + 25.12 = 110.72 m²

Answer:

50°

Step-by-step explanation:

Let :

Let the angle = x

Second angle = x + 10

Third angle = x - 10

Sum of angles in a triangle = 180

x + (x + 10) + (x - 10) = 180

x + x + 10 + x - 10 = 180

3x = 180

x = 180 / 3

x = 60

Smallest angle :

x - 10 = 60 - 10 = 50°

Answer:

Hello! answer: 36

Step-by-step explanation:

6 × 7 = 42 3 × 2 = 6 42 - 6 = 36 therefore the area is 36 hope that helps!

Answer:

40cm^2

perimeter:24cm

Step-by-step explanation:

Area: First of all, you can see that the missing height of the shape is 3cm. By adding 4 and 3, you get 7. Then, by multiplying 7 and the length of the shape (6cm), you get 42cm^2. After that, you have to multiply 2cm and 3cm to get the blank area in the bottom right corner to get 6cm^2. Finally, you can subtract 42cm^2(the whole area) by 6cm^2 (the blank area) to get 40cm^2.

Perimeter: Okay! To get the first missing measurement (the one on the left), you have to imagine 4cm being moved to that side. 3cm is parallel to the missing blank space under the 4cm. This means you have to get 7cm (you add 4 and 3). To get the other missing measurement (bottom of the shape) you must see that 6cm would be parallel to the bottom. Since 2cm is also parallel to the bottom, you would have to subtract 2 from 6 to get the bottom of the shape's length, which is 4. Finally, you would have to add 6, 4, 3, 2, 4 and 7 together to get 24cm.

Answer:

G

Step-by-step explanation:

Because it is an equation

Answer:

you are correct :D

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

5400/9=600

Assuming you have the same amount of bricks in each crate there would be 600 bricks in each of the 9 crates. Hope this helps :)

Answer:

8.8 i think

Step-by-step explanation:

Answer:  B

Step-by-step explanation:  To find the best estimation to a simple decimal problem such as this one, first round each value to the nearest tenth, hundredth, or thousandth and then subtract.  So, for this problem, round each decimal to the nearest tenth.  

0.54 - 0.223

0.5 - 0.2

0.3

Please mark brainliest if I did this correctly.

Answer:

11 inches is your answer sorry if i am wrong i hope this helps

Step-by-step explanation:

Answer:

4.09

Step-by-step explanation:

Circumference=

[tex]2\pi \times r[/tex]

The circumference of the circular base of the object is 4.082 in

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center.

Given that, we need to find the circumference of the circular base of the object, whose radius is 0.5 in

The circular object is referred as circle, the circle's circumference is its boundary length measured in unit whose power is always 1, like m, cm, km etc.

Here, if we calculate the circumference of the object, we will get,

The circumference of any circular object given by :-

C = 2π×radius

C = 2×3.14×0.65 = 4.082 in

Hence, the circumference of the circular base of the object is 4.082 in

Learn more about circumference, click;

https://brainly.com/question/28757341

#SPJ6

Answer:

p is 5 by 7 the a is 3 by 6

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

24+8-(7x6)

Answer:

27

Step-by-step explanation:

14 + 17 + 28 + 49 = 108

108 / 4 = 27

Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers

Step-by-step explanation: