Option 1: use the applet to construct circles for problems 1 & 2 or 3 & 4.
take a screenshot and insert them into your student companion.
1. circle a, with a diameter of
6 cm.
2. circle c, with a radius that is
equal to circle a's diameter.
3. circle b, with a radius of 5
cm.
4. circle d, with a diameter
that is equal to circle b's
radius.

Answer:

$5.24 to nearest cent.

Step-by-step explanation:

Price of 2.2 pounds

= 2.38 * 2.2

= $5.236

Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day

The addition of the functions f(x) and g(x) will be ln (2x) + 3 sin(x) – 22. Then the correct option is C.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The functions are given below.

f(x) = ln (2x) – 15

g(x) = 3 sin(x) – 7

Then the addition of the function will be

(f + g)(x) = f(x) + g(x)

(f + g)(x) = ln (2x) – 15 + 3 sin(x) – 7

(f + g)(x) = ln (2x) + 3 sin(x) – 22

Then the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

See photo

Step-by-step explanation:

Plato/Edmentum

Answer:

5x² ( x² - 2x + 2 ) ( x² + 2x + 2 ) ( x² + 2 ) ( x² - 2 )

Step-by-step explanation:

→ Find the highest common factor from 5 and 80

5

→ Find the highest common factor of x¹⁰ and x²

x²

→ Write the partially factored form

5x² ( x⁸ - 16 )

→ Factor down ( x⁸ - 16 )

( x⁴ + 4 ) ( x⁴ - 4 )

→ Factor down ( x⁴ + 4 ) ( x⁴ - 4 )

( x² - 2x + 2 ) ( x² + 2x + 2 ) ( x² + 2 ) ( x² - 2 )

Answer:

Step-by-step explanation:

The greatest common factor is that factor that includes every prime factor that is found in both expressions. Once that is removed, the formula for the factorization of the difference of squares is needed.

__

Each expression factors as ...

  5x^10 = 5·x^2·x^8

  80x^2 = 5·x^2·16

The common factors in these expressions are 5, x^2, so the expression with the greatest common factor factored out is ...

  5x^2(x^8 -16)

__

The remaining factor is the difference of squares, which factors as ...

  a² -b² = (a -b)(a +b)

Here, we have a=x^4 and b=2^2, so the factors of the difference are ...

  x^8 -16 = (x^4 -4)(x^4 +4)

The first of these factors is also recognizable as a difference of squares, so it can be factored further:

  x^4 -4 = (x^2 -2)(x^2 +2)

The second factor can also be cast as the difference of squares, allowing it to be factored further:

  x^4 +4 = (x^4 +4x^2 +4) -(4x^2) = (x^2 +2)^ -(2x)^2

  = (x^2 +2x +2)(x^2 -2x +2)

So, the complete factorization of the original expression is ...

  5x^10 -80x^2 = 5x^2(x^2 +2x +2)(x^2 -2x +2)(x^2 +2)(x^2 -2)

_____

Additional comment

We could factor to linear terms if we wanted to use radicals and complex numbers. This is the factorization in integers.

Volume of a Cylinder = pi x r^2 x height

diameter = 10, so radius = 5

height = 6

Volume = pi x 5^2 x 6

Volume = pi x 25 x 6

Volume = 150pi

Answer: 150pi cubic feet

Hope this helps!

Answer:

8+2w=y

Step-by-step explanation:

Answer:

yes it represents it because the linear equation

Answer: 56

Step-by-step explanation:

you multitouch answers I think

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         What is the S.I. form of the equation that passes through (-6,3) and is parallel to y=2x-3?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

    Parallel lines have the same slope.

[tex]\bigstar[/tex] The line y=2x-3 has a slope of 2, therefore, the line parallel to it has a slope of 2.

Now let's write the equation of the new line in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with -3, m with 2, and then write -6 in lieu of x1:-

[tex]\sf{y-(-3)=2(x-(-6)}[/tex]

On simplification,

[tex]\sf{y+3=2(x+6)}[/tex]

On further simplification,

[tex]\sf{y=2x+12-3}[/tex]

Which results in:-

[tex]\sf{y=2x-9}[/tex]

▲ our slope-intercept equation

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

Answer:

240,600

Step-by-step explanation:

10⁵=100,000

2.4×100,000=240,000

10²=100

6×100=600

240,000+600=240,600

Hey there!

Do PEMDAS to solve.

PEMDAS simply means.

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtract

Some people use this method to make PEMDAS easier to understand

• Please
• Excuse
• My
• Dear
• Aunt
• Sally

4 + 4(5 + 2^2)

= 4 + 4(5 + 2 * 2)

= 4 + 4(5 + 4)

= 4 + 4(9)

= 4 + 36

= 40

Therefore, the answer should be: 40

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Four less than the product of five and a number, is eleven.

Step-by-step explanation:

"The product of five and a number":  5c

"Four less than":  - 4

"is eleven":  = 11

"Four less than the product of five and a number is eleven":  

5c - 4 = 11

Four less than the product of five and a number is eleven

Product of 5 and c is 5c

4 less than it means 5c-4

The result is 11

The missing number in the sequence is 31

The sequence is given as:

10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000

The above sequence is a base 16-n sequence numbers

In base 16-n, the next number after 24 is 31

So, the complete sequence is:

10,11,12,13,14,15,16,17,18,19,20,22,24, 31, 100, 121, 10,000

Hence, the missing number in the sequence is 31

Read more about sequence at:

https://brainly.com/question/7882626

#SPJ4

Answer:

This problem gives us the total amount of cans and it also gives us the total cost and asks us to find the cost of each can when every can costs the same amount.  To do this we need to $ to be on the top and the can on the bottom because we say price PER can.

[tex]\frac{total\ price}{total\ amount\ of\ cans}[/tex]

[tex]\frac{\$27.80}{10\ cans}[/tex]

[tex]\$2.78\ per\ can[/tex]

Therefore, our final answer is that each can costs $2.78

Hope this helps!  Let me know if you have any questions

Answer:

AB=5

Step-by-step explanation:

3x-4=5x-10

-4=2x-10

6=2x

3=x

AB= 3(3)-4

9-4

5

Answer:

ab = 5.

Step-by-step explanation:
As the 2 sides are equal in length:

3x - 4 = 5x - 10

3x - 5x = -10 + 4

-2x = -6

x = 3.

So ab = 3x-4 = 3(3)-4

= 5.

Answer:

First one is a, second one is d, and the third one is b

Step-by-step explanation:

hope this helps friend

Answer:

18%

Step-by-step explanation:

8/44

Answer:

18% or 8/44

Step-by-step explanation:

add 12+10+14+8=44 then do 8/44

Answer:

  -20, -18, -16

Step-by-step explanation:

For consecutive integer problems, it often works well to let a variable represent the middle one (or their average value).

__

Here, we can let x represent the second integer. Then the first is (x-2), and the third is (x+2). The given relation can be written as ...

  (5 +x)(-7) = 11 +5(-(x+2))

  -35 -7x = 11 -5x -10 . . . . . . eliminate parentheses

  -36 = 2x . . . . . . . . . add 7x -1

  -18 = x . . . . . . . . divide by 2

The three integers are -20, -18, -16.

The range is $0.39 which is the difference of the max value and min value.

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data given:

Max: $2.42

Min: $2.03

Mean: $2.098

Median: $2.06

Mode: $2.04

Variance: 0.0121

As we know, the range = Max value—Min value

Here, Max = $2.42

Min = $2.03

Range = 2.42 - 2.03 = $0.39

Thus, the range is $0.39 which is the difference of the max value and min value.

Learn more about the median here:

brainly.com/question/21396105

#SPJ1

Answer:

r = 9 units

Step-by-step explanation:

since AB is a tangent to the circle at B , then ∠ ABO = 90°

so Δ ABO is a right triangle

using Pythagoras' identity in the right triangle

OB² + AB² = AO² , that is

r² + 12² = 15²

r² + 144 = 225 ( subtract 144 from both sides )

r² = 81 ( take square root of both sides )

r = [tex]\sqrt{81}[/tex] = 9

Answer:

3.08 percent

Step-by-step explanation:

if you do proportions, then it would go like this:

12/390 = x/100

(cross multiply)

390x = 1200

(divide both sides by 390 to get x by itself)

x = 3.07692307692

round and its about 3.08 percent

sorry if its wrong im only in 6th grade

Answer:

x= 20,y= −36

Step-by-step explanation:

3x+2y=−12

2x+y=4

Subtract 2x

from both sides of the equation.

y=4−2x

3x+2y=−12

Replace all occurrences of y

with 4−2x

in each equation.

Tap for more steps...

−x+8=−12

y=4−2x

Solve for x

in −x+8=−12

.

Tap for more steps...

x=20

y=4−2x

Replace all occurrences of x

with 20

in each equation.

Tap for more steps...

y=−36

x=20

The solution to the system is the complete set of ordered pairs that are valid solutions.

(20,−36)

The result can be shown in multiple forms.

Point Form:

(20,−36)

Equation Form:

x=20,y=−36

Multiply 2 with (1) and 3 with (2)

Subtract

Answer:

Move the decimal point in 70.91 three places to the right

 so that it becomes 70910.

Answer:

10 1/6

Step-by-step explanation:

First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.

So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.

Then, you can rewrite your equation using the improper fractions:

x - 13/2 = 11/3

Then, add 13/2 to both sides since it is being subtracted:

x = 13/2 + 11/3

Add the fractions by multiplying the denominators of each by the fraction of the other:

3(13/2) = 39/6
2(11/3) = 22/6

Add the fractions:

39/6 + 22/6 = 61/6

Simplify the fraction:

10 1/6

Answer:

10 1/6 or [tex]10\frac{1}{6}[/tex]

Step-by-step explanation:

The BEST, BASIC, FAST trick to find x in these situtations

If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result.  If you're doing addition, then you do subtraction in the same way.

Multiplication -> Division

Divisioin -> Multiplication

these 2 also in the same way!

Why do to do this?

Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.

Now, solving the problem!

[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]

So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]

Thanks!

I hope I could help!

:D

Answer:

pi/2

Step-by-step explanation:

We know that,

Length of arc=r*(theta) where r=radius and theta is angle

Given- unit circle, it means  circle have raduis=1

       Theta=90° or (pi/2)

Hence,

Length of arc is = 1*(pi/2)

                            = pi/2

Hence option two is correct

Answer:

Answer:

A

Step-by-step explanation:

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

Angle 4 and 5 are both obtuse angles. There measurements are greater than 90 degrees and less than 180 degrees. Angle 4 and 5 could be either a 120 degree angle or a 130 degree angle.

Answer:

No

Step-by-step explanation:

15^2+15^2=450 not 900=3^2

Hope this helps! ;-)

Answer:

The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.

Step-by-step explanation:

We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.

Hope this helps:) Goodluck!

Answer:

.0013

Step-by-step explanation:

8 hours is 3 standard deviations BELOW the mean   z-score = -3

  from z scor table , tis corresponds to .0013