Jay is 4 years older than May. May is twice as old as Kay. How old is Jay if Kay is x years old ?

Answer:

143.81

Step-by-step explanation:

Trapezoid Area

A = 2b/2 * h

A = 9 + 23/2 * 7

A = 32/2 * 7

A = 16 * 7

A = 112

Semi-circle Area

A = πr²/2

A = π4.5²/2

A = π20.25/2

A = 63.62/2

A = 38.81

Total Area

112 + 38.81

143.81

Answer:

b = 131

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

b+49 = 180

Subtract 49 from each side

b = 180-49

b =131

Answer:

Angle b is 131°

Step-by-step explanation:

Angles on a straight line add up to 180°

To find b add 49 and b and equate it to 180°

That's

b + 49 = 180

b= 180 - 49

b = 131°

Hope this helps you

Answer:

a = -1/2

b = 2

Step-by-step explanation:

Step 1: Rewrite 1st equation

-b = -5 - 6a

b = 5 + 6a

Step 2: Substitution

4a - 3(5 + 6a) = -8

Step 3: Solve

4a - 15 - 18a = -8

-14a - 15 = -8

-14a = 7

a = -1/2

Step 4: Plug in a to find b

6(-1/2) - b = -5

-3 - b = -5

-b = -2

b = 2

Answer:

C).

Step-by-step explanation:

In A and B  they  are making generalisations . Their deductions are not valid.

Answer:

Option (2)

Step-by-step explanation:

Volume of a prism A (preimage) = 27 cubic units

Factor of dilation of the sides of this prism (image) = [tex]\frac{1}{3}[/tex]

Volume scale factor of these prisms = [tex]\frac{\text{Volume of image}}{\text{Volume of preimage}}[/tex]

Since, Volume scale factor = (Scale factor of dilation of the sides)³

                                             = [tex](\frac{1}{3})^3[/tex]

                                             = [tex]\frac{1}{9}[/tex]

Now from the formula of volume scale factor,

[tex]\frac{1}{9}=\frac{\text{Volume of image}}{\text{Volume of preimage}}[/tex]

[tex]\frac{1}{9}=\frac{\text{Volume of image}}{27}[/tex]

Volume of the image prism = [tex]\frac{27}{9}[/tex] = 3 cubic units

Therefore, Option (2) will be the answer.                                                    

Answer:

1 cubic unit

Step-by-step explanation:

Answer:

Options 2, 4, and 5 are correct (from top to bottom)

Step-by-step explanation:

g(0)=0

g(1)=1

g(-1)=1

g(4)≠-2

g(4)=2

g(1)≠-1

g(1)=1

Options 2, 4, and 5 are correct (from top to bottom)

Answer:

dx + t = 10

dx = 10 - t

x = (10 - t) / d

Answer:

[tex]x=\frac{10-t}{d}[/tex]

Step-by-step explanation:

[tex]dx + t =10[/tex]

Add [tex]-t[/tex] on both sides.

[tex]dx + t -t=10-t[/tex]

[tex]dx=10-t[/tex]

Divide both sides by [tex]d[/tex].

[tex]\frac{dx}{d} =\frac{10-t}{d}[/tex]

[tex]x=\frac{10-t}{d}[/tex]

Answer:

FALSE

Step-by-step explanation:

Since what Samantha is doing (varying) by including more batteries in her project, the number of batteries is the variable that she manipulates at her wish. So this is the independent variable.

The current increasing is the result to the changes she had made modifying the independent variable (number of batteries), therefore the current is the DEPENDENT variable (dependent on the number of batteries used).

So the statement is FALSE

Answer:

False

Step-by-step explanation:

Answer:

Exponential function:

[tex]f(d) =2^d[/tex]

Linear function:

[tex]f(d) = 2\times f(d-1)[/tex]

Step-by-step explanation:

Given that:

Number of clicks by the end of 2nd day = 4

Number of clicks by the end of 4th day = 16

To find:

The function f(d) to model number of clicks in exponential and linear form.

Solution:

Given that with a value d = 2, f(d) = 4 and

d = 4, f(d) = 16

4 is [tex]2^{2}[/tex]

and 16 is [tex]2^{4}[/tex]

We can see that 2 has a power 'Number of days'.

So, exponential function can be written as:

[tex]f(d) = 2^d[/tex]

As per the pattern given, at the end of 2nd day, there are 4 clicks

by the end of 3rd day there will be 8 clicks and

by the end 4th day it has 16 clicks.

It means that by the end of present day the number of clicks have doubled than that of clicks by end of previous day.

So, we can write the function

[tex]f(d) = 2\times f(d-1)[/tex]

So, the answer is:

Exponential function:

[tex]f(d) =2^d[/tex]

Linear function:

[tex]f(d) = 2\times f(d-1)[/tex]

Answer:

look at the image below

Step-by-step explanation:

imagine math

Answer:

1/20

Step-by-step explanation:

So, he eats 5/8 of 1/3 of the pizza. That would be 5/8*1/3=5/24

Then, he eats 2/5 of what is left. What is left is 3/8*1/3=1/8.

So, 1/8*2/5=1/20

Therefore, Teddy ate 1/20 of the original pizza

Answer:

the triangle, its interior , and its exterior best describes it.

Answer:

Hello!

__________________

Your answer would be Triangle.

the term that best describes a figure formed by three segments connecting three non-collinear points is:

Triangle.

___________________

Hope this helped you!

:D

Answer:

I think -1,14

Step-by-step explanation:

Because you add 5

Hi Plato/Edmentum Users!

The other person is correct!

Answer:

[tex]\boxed{BC = 11.62}[/tex]

Step-by-step explanation:

Tan 54 = [tex]\frac{opposite}{adjacent}[/tex]

Where opposite = 16, Adjacent = BC

1.376 = [tex]\frac{16}{BC}[/tex]

BC = 16/1.376

BC = 11.62

Answer:

11.62468045 or 11.6 to 1 decimal place

Step-by-step explanation:

→ We need to utilise trigonometry. The first step would be to list out the formula triangles

Tan = Opposite ÷ Adjacent

Sin =  Opposite ÷ Hypotenuse

Cos = Adjacent ÷ Hypotenuse

→ Now we need to know which triangle to use, we do that by identifying the side or length we are not given in the triangle and then finding a formula without the name of the given side. First let's identify all the sides.

Opposite = AC = 16

Adjacent = BC = We need to find this out

Hypotenuse = AB = No given value

→ Now we look for a formula with hypotenuse

Tan = Opposite ÷ Adjacent

→ The (Tan = Opposite ÷ Adjacent) is the formula we are going to be using. Since we want to find out the adjacent, we have to rearrange to get adjacent as the subject

Adjacent = Opposite ÷ Tan

→ Now we identify the Opposite and the Tan

Opposite = 16

Tan = 54°

Side note ⇒ Sin, cos and tan will always be the angles

→ Substitute in the values in the formula

Adjacent = Opposite ÷ Tan ⇔ Adjacent = 16 ÷ Tan (54) ⇔ Adjacent = 11.6

→ The adjacent is 11.6 to 1 decimal place

Answer:

30.96 [tex]in^2[/tex]

Step-by-step explanation:

Given that

Side of square = 12 in

Diameter of circle = 12 in

We know that, radius is half of diameter,

So, r = 6 cm

We have to find the area of square which is not covered by the circle.

i.e. Required Area = Area of Square - Area of Circle

Please refer to the attached to have a better understanding of the given situation.

Formula:

Area of square = [tex](side)^2[/tex]

Area of circle = [tex]\pi r^2[/tex]

Required Area = [tex]12^2[/tex] - [tex]\pi \times 6^{2}[/tex]

[tex]\Rightarrow 144 - 3.14 \times 36\\\Rightarrow 144 - 113.04\\\Rightarrow 30.96\ in^2[/tex]

So, the answer is 30.96 [tex]in^2[/tex].

Answer:

4.25

Step-by-step explanation:

Answer:15 I think

Step-by-step explanation:

Hey there! :)

Answer:

Choices 1, 4 and 5.

Step-by-step explanation:

To solve, we can go through each answer choice and check if they are Pythagorean Triples using the Pythagorean Theorem:

1) 26² = 10² + 24²

676 = 100 + 576

676 = 676. This is correct.

2) 49² = 14² + 48²

2401 = 196 + 2304

2401 ≠ 2500. This is incorrect.

3)

16² = 12² + 9²

256 = 144 + 81²

256 ≠ 225. This is incorrect.

4)

41² = 40² + 9²

1681 = 1600 + 81

1681 = 1681. This is correct.

5)

25² = 15² + 20²

625 = 225 + 400

625 = 625. This is correct.

Therefore, choices 1, 4 and 5 are correct.

Answer:

A, D, and E.

Step-by-step explanation:

Step-by-step explanation:

[tex]8x^3-8=2^3x^3-2^3=(2x)^3-2^3\\\\\text{Use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(2x-2)\bigg((2x)^2+(2x)(2)+2^2\bigg)\\\\=(2x-2)(4x^2+4x+4)\\=2(x-1)(4x^2+4x+4)\\=4(2x-2)(x^2+x+1)\\=8(x-1)(x^2+x+1)[/tex]

The equivalent expression of 8x³ - 8 is 8(x-1) (x² + x +1)

8x³ - 8 = 2³ x³ -2³  

=  (2x)³ - 2³

Using a³ -b³ = (a - b) (a² + ab + b²)

= (2x -2) ((2x)² + (2x) (2) + 2²))

= (2x -2) (4x² + 4x + 4)

= 2(x-1)(4x² + 4x + 4)

= 4(2x -2) (x² + x +1)

= 8 (x-1) (x² + x +1)

Learn more about expression  at:

https://brainly.com/question/1859113

#SPJ2

Answer:

x=8 degrees y=21 degrees

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The graph would be a curve because of the exponent.

Answer:

Rational.

Step-by-step explanation:

Irrational numbers are real numbers that can't be written as fractions.

One clue is that the decimal goes on forever (doesn't terminate) without repeating. (pi)

.14 can be written as a fraction: 14/100

Answer:

It's rational

Step-by-step explanation:

Because irrational numbers cannot be written s a fraction and rational numbers can

Answer:

[tex]a = 3[/tex]

Step-by-step explanation:

[tex]3 {a}^{2} = 27 \\ \frac{3 {a}^{2} }{3} = \frac{27}{3} \\ {a}^{2} = 9 \\ a = \sqrt{9} \\ a = 3[/tex]

Answer: 9

Step-by-step explanation:

First divide both sides by 3

[tex]a^2=9[/tex]

Then root both sides([tex]\sqrt{a^2}=\sqrt{9}[/tex])

a = 9

Hope it helps <3

Edit: :o this is my 250th answer

Answer:

1. 2 pinch of salt

2. 3/2 egg =1.5 eggs

3. 33g of flour=1/3 pinch of salt

33g of flour=1/3 tbsp of oil

33g of flour=1/3 egg

33g of flour=100ml of milk

4. 24 servings

5. 300g of flour

Step-by-step explanation:

12 servings

Plain flour=100g

Salt=a pinch

Oil= 1 tbsp

Egg=1

Milk=300 ml

1. Pinches of salt in 24 servings

24

12 servings=1 pinch of salt

24 servings=24/12*1 pinch of salt

=2*1 pinch of salt

=2 pinch of salt

2. Egg needed for 18 servings

12 servings=1 egg

18 servings=18/12 * 1 egg

=3/2* 1 egg

=3/2 egg

3. If there are 33 grams of flour,

The other ingredients will be

33g/100g=1/3

The other ingredients will be 1/3 of the original measurement

Salt=a pinch

33g of flour=1/3 pinch of salt

Oil= 1 tbsp

33g of flour=1/3 tbsp of oil

Egg=1

33g of flour=1/3 egg

Milk=300 ml

33g of flour=1/3 of 300ml

=1/3*300

=300/3

=100ml of milk

4. If two eggs were used, grams of flour needed is

1 egg =12 servings

2 eggs=2* 12 servings

=24 servings

5. Flour needed if 900ml milk is used

100g flour=300ml of milk

900ml of milk=300ml * 3

Therefore,

900ml of milk=100g of flour *3

900ml of milk=300g of flour

Answer:

Step-by-step explanation:

A square has equal sides. Let x represent the length of each side of the square carpet. The diagram representing the room and the carpet is shown in the attached photo. Therefore, the length of the room would be (x + 2)m while the width of the room would be (x + 1)m

Since the area of the room is 56m², it means that

(x + 2)(x + 1) = 56

x² + x + 2x + 2 = 56

x² + 3x + 2 - 56 = 0

x² + 3x - 54 = 0

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

x - 6 = 0 or x + 9 = 0

x = 6 or x = - 9

Since the dimension of the carpet cannot be negative, then x = 6

The dimension of the carpet is 6m × 6m

Answer:

P = 0.2517

Step-by-step explanation:

In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)

P (at least one woman) = 6C1 * 9C4 / 15C5

we know that nCr = n! / (r! * (n-r)!)

replacing we have:

6C1 = 6! / (1! * (6-1)!) = 6

9C4 = 9! / (4! * (9-4)!) = 126

15C5 = 15! / (5! * (15-5)!) = 3003

Therefore it would be:

P (at least one woman) = 6 * 126/3003

P = 0.2517

That is, approximately 1 out of 4 women.

Answer:

A y=1/2x(powerof)2+5

B 17.5

C x=√42 or x=−√42

Step-by-step explanation:

Answer:

a. y = x^2 + 10

b. when x=5,   y  = 35

c. when y = 26,   x =  +4 or -4

Step-by-step explanation:

Given

y = k (x^2/2 + 5), and

(2,14) is on the curve.

Solution:

Substitute x=2 and y=14 in the above equation

14 = k (2^2/2 + 5)

14 = k (2+5)

14 = 7k

k = 14/7 = 2

a. equation connecting x and y is

   y = 2 (x^2/2 + 5), or

   y = x^2 + 10

b. when x=5

   y = 5^2 + 10 = 25 + 10 = 35

c. when y = 26

  26 = x^2 + 10

  x^2 = 26-10 = 16

  x= sqrt(16) = +4 or -4

Answer:

-16

Step-by-step explanation:

Represent the number by n.

Then:

8(n + 18) = 16

Performing the indicated multiplication, we get:

8n + 144 = 16

Subtracting 144 from both sides results in 8n = -128.

Dividing both sides by 8:  n = -128/8  =  -16

The number was -16.

Answer:

3x - 8

Step-by-step explanation:

9x² - 64 is a perfect square binomial

3x - 8 and 3x + 8 are the factors

First factor the 2nd degree polynomial.

[tex]9x^2-64=(3x-8)(3x+8)[/tex]

We find that polynomial is factored to two binomials:

Hope this helps.

Answer:

factor: 5(2x'y'+3xy)

Step-by-step explanation:

thats for factoring, i didnt know what you needed

Answer:

25xy

Step-by-step explanation:

collect like terms

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

Work Shown:

Let x be the location of E on the number line.

Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2

midpoint = (endpoint1 + endpoint2)/2

C = (E+F)/2

Plug in E = x, C = -8 and F = 4. Then solve for x

C = (E+F)/2

-8 = (x+4)/2

(x+4)/2 = -8

x+4 = 2(-8) .... multiplying both sides by 2

x+4 = -16

x = -16-4 .... subtract 4 from both sides

x = -20

The location of point E on the number line is -20

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

As a check, lets add E and F to get E+F = -20+4 = -16

Then cut this in half to get -16/2 = -8, which is the proper location of point C

This confirms our answer.

Answer:

The answer is 13

Step-by-step explanation:

You'll say what will you multiply by itself to give you 169.

It will be 13 times itself and it will be =169.