Item 1
What is the radius of the button?


button is 26
Radius:
mm

Answer:

y = (1/4)*x + 3

Step-by-step explanation:

A linear equation can be written as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the line passes through the points (0, 3) and (8, 5)

Then the slope will be:

a = (5 - 3)/(8 - 0) = 2/8 = 1/4

Then this line is something like:

y = (1/4)*x + b

Now we want to find the value of b.

Here we can use one of the two points that we know, for example, I will use the point (0, 3), this means that when x = 0, we must have y = 3.

If we replace those two values in the line equation, we get:

3 = (1/4)*0 + b

3 = b

Then the equation for the line L is:

y = (1/4)*x + 3

The correct option is (b) i.e. In the given synthetic division, the remainder will be 7.

What is Remainder ?

The remainder is what "remains" after an activity is finished, as its name implies. In mathematics, it is impossible to divide 17 by 3 precisely. The leftover after division is the number 2, which is set aside.

Given : 1   |    4 6 -3

If we solve it further, we get

                               1   |    4 6 -3

                                   |        4  10

                                   |    4 10  7

Steps :

firstly we will write 4 as it is .

we will multiply 1 by 4 and write it in the second place, then we will add 6 and 4.

Similarly, we will multiply 1 by 10 and write it in the third place, then we will add -3 and 10 and finally get 7 as residual.

here, after solving, we get 7 in the end which is set aside.

So, the remainder will be 7.

Hence, the correct option is (b).

To learn more about Synthetic division, visit the link:

https://brainly.com/question/24662212

#SPJ1

Answer: they are equal because the exponents are equal. Right there are in different order but they are still the same.

Step-by-step explanation:

Answer:

7/20 0r 0.35

Step-by-step explanation:

Probability of been single = percentage of single adult / sum of percentages

sum of percentages = 35 + 60 + 5 = 100

35/100 = 7/20 or 0.35

Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.

Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.

Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:

[tex]C_N = 1 + (N - 1)*4[/tex]

Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.

[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]

¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?

Para ver esto calculamos:

[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]

Es decir, la image 12 tiene 20 circulos más que la imagen 7.

Sí quieres aprender más sobre secuencias, puedes leer:

https://brainly.com/question/7882626

Answer:

y = x/x+3 is a rational function

Step-by-step explanation:

Here, we want to select the equation that is a rational function

rational functions are such that could be expressed as the division of one function by another

For example;

f(x) = g(x)/h(x)

is a rational function

so, if we applied this here,

we have it that;

y = x/x+ 3 is a rational function

Answer:

8 cm

Step-by-step explanation:

If the 16 cm is the diameter then the radius is 8 cm. To find the radius of a circle you simply divide two by the diameter. 16 ÷ 2 = 8

Answer:

I'm pretty sure it's just 7.0 because seven is the nearest 10th because it's only .1

Answer:

2:5 12:30(?)

Step-by-step explanation:

the first ones right I'm not sure about 12:30

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

[tex]50.24 \div 3[/tex]

2) Simplify 50.24 ÷ 3 to 16.746667.

[tex]16.746667[/tex]

Therefor. the answer is 16.746667.

Answer:

x = 19.8

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

thus, we have it that;

16/28.8 = 11/x

16 * x = 11 * 28.8

x = (11 * 28.8)/16

x = 19.8

Answer:

if you use the 10 feet ladder base is 6 feet

if you use 12 feet ladder base is 8.94 feet

if you use 15 feet ladder base is 12.69 feet

Step-by-step explanation:

you know the ladder length so you know the hypotenuse

you can use a^2 + b^2= c^2

for example you use the 10 feet ladder

8^2+b^2 = 10^2

64 + b^2 = 100

subtract 64 from both sides

b^2=36

to get rid of the exponent find square root

b= 6

you can plug in the different values like 15 or 12

8 + 24 / 2 X 6 - 4

following order of operations divide 24 by 2:

8 + 12 x 6 -4

Multiply 12 by 6:

8 + 72 -4

Add 8 and 72:

80-4

Subtract to get 76

Answer:

It would be A

Step-by-step explanation:

when you rotate Clockwise goes -> Counterclockwise goes <-

So you want to go -> so we are going Clockwise because that brings us to the "square" that DOG is in and when you do CAT is still 2 spots farther to the right from DOG so you want to go 2 to the left.

CAT:

when you rotate it clockwise 90 degrees

C goes at  (0,6)

A goes at (4,-6)

T goes at (2, -2)

Answer:

35

Step-by-step explanation:

i believe it is 35 degree at is directly opposite to a 35 degree angle

Answer:

93.5ft

Step-by-step explanation:

(A−5)(A+4) I think that is the right answer

Answer:

20, 45

Step-by-step explanation:

A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles  must add up to 65.

The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9

A ratio partition parts of something. We can add the ratio intergers to find it full length.

4+9=13.

Divide 65/13=5.

Multiply 5x4 and 5x9 serpately.

We get 20 and 45

Answer:

the number is 5

Step-by-step explanation:

((n x 5 + 3.5) ÷ 2) -7.6 = 6.65

( 5n + 3.5) ÷ 2 = 14.25

5n + 3.5 = 28.5

5n = 25

n = 5

Answer:

What is 94 out of 200 as a percentage?

47

Percentage Calculator: 94 is what percent of 200? = 47.

Step-by-step explanation:

sorry if it is not correct :(

Answer:

-10/7

Step-by-step explanation:

w - 5 = 8w + 5

w - 8w = 5 + 5

-7w = 10

w = - 10/7

Answer:

Step-by-step explanation:

To solve this equation, group like terms together:  'w' terms on the right and constants on the left:

-10 = 7w.  Then:

w = -10/7 (exact) or w ≈ 1.43

Answer:

$23.22 per day.

Step-by-step explanation:

For a general function f(x), the average rate of change between A and B (when B > A) is:

[tex]r = \frac{f(B) - f(A)}{B - A}[/tex]

In this case we know that the function is:

f(x) = 0.01*(2)^x

And we want to find the average rate of change from day 7 to day 14

Then if we use the above equation we get that the rate of change from day 7 to day 14 is:

[tex]r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22[/tex]

Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.

An average rate of change between A and B (where B>A) for a generic function [tex]f(x)[/tex] is:

[tex]\to r=\frac{f(B)-f(A)}{B-A}\\\\[/tex]

[tex]\to f(x) = 0.01\times (2)^x[/tex]

[tex]\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22[/tex]

Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is [tex]\$23.22[/tex] each day.

Learn more:

brainly.com/question/12997887

Answer: 13.) 49,  14.) 64

Step-by-step explanation:

7x7=49, 8x8=64

Answer:

1272 ft^2

Step-by-step explanation:

The area is 144*106= 15264 inches and to convert inches to feet we divide by 12 because a foot has 12 inches

15264/12 = 1272 ft^2