Carl has been recording the number of pears on his pear tree each week:

The function representing Carl's pears per week is f(w) = 5w + 2.

What does the 2 represent?
a. The week number when Carl recorded the pears
b. The number of pears at the start
c. The number of pears Carl had in total
d. The number the pears increased by each week Incorrect

I hope this helps you

s-28+s-17=s+22

s=22+28+17

s=67°

Answer:

67°

Step-by-step explanation:

By remote exterior angle theorem of a triangle:

s - 28° + s - 17° = s + 22°

2s - 45° = s + 22°

2s - s = 45° + 22°

s = 67°

Answer:

Jamie must sprint 107 meter to pass Shelly at point A.

Step-by-step explanation:

Circumference of a sector of the circle is represented by,

Circumference = [tex]\frac{\theta}{360}(2\pi r)[/tex]

where θ = central angle subtended at the center by an arc

r = radius of the circle

[tex]m(\widehat{AB})[/tex] = [tex]\frac{123}{360}(2\pi )(50)[/tex]

           = 34.1667π

           = 107.34 meter

           ≈ 107 meter

Therefore, Jamie must sprint 107 meter to pass Shelly at point A.

Answer:

(15)(0.75) and 0.7(15 – x) + 0.9x

Step-by-step explanation:

I did that assignment.

Answer:

its A

Step-by-step explanation:

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answer:

it is D just took the test

Step-by-step explanation:

Answer:

3) [tex]\frac{(25)^{3/2} * (243)^{3/5}}{(16)^{5/4}*(8)^{4/3}}[/tex]

=> [tex]\frac{(5^2)^{3/2}*(3^5)^{3/5}}{(2^4)^{5/4}*(2^3)^{4/3}}[/tex]

=> [tex]\frac{5^3*5^3}{2^5*2^4}[/tex]

=> [tex]\frac{5^6}{2^9}[/tex]

4) [tex]\frac{3-2\sqrt{2} }{3+2\sqrt{2} }[/tex]

Multiplying and dividing by conjugate [tex]3-2\sqrt{2}[/tex]

=> [tex]\frac{(3-2\sqrt{2})(3-2\sqrt{2}) }{(3+2\sqrt{2})(3-2\sqrt{2})}[/tex]

=> [tex]\frac{9-6\sqrt{2}-6\sqrt{2} +8 }{9-8}[/tex]

=> [tex]\frac{17-12\sqrt{2} }{1}[/tex]

=> [tex]17-12\sqrt{2}[/tex]

Comparing it with [tex]a+b\sqrt{2}[/tex], we get

a = 17, b = -12

Answer:

Step-by-step explanation:

We that the area of a circle is Pi times r^2 where r is the radius

Let A be the area of the first circle and S the area of the second one and T the total one

A=4^2× Pi

S=6^2× Pi

T = Pi( 4^2 +6^2)

= Pi ( 16+36) = Pi× 52

52 is the radius square

So r = root square 52 = 2 root square 13

Answer:

it is the second option

Step-by-step explanation:

Answer:

  (A)  At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.

Step-by-step explanation:

Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)

_____

Comment on orientation

If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.

Answer:

(A) the first diagram

Step-by-step explanation:

Answer:

A. x > -3

Step-by-step explanation:

Well by looking at the graph we can tell that,

the line we can tell that the line goes to the right of of the number line,

Meaning x is greater than -3.

Thus,

x > -3.

Hope this helps :)

Answer:

-Absolute value is a measure of distance. 5 is in fact 5 units from 0 on the number line, just like +5.  Its all about distance, and there are 2 things in math that will NEVER be negative...distance/length and time.

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

The absolute value measures the distance from 0. In this case, since the number is -5, the absolute value will be 5 since -5 is 5 units away from 0.

Hope this helps!

Answer:

Answers are below

Step-by-step explanation:

a) I graphed the scatter plot below

b) As the length of the boats increases, the capacity of the boats increase as well.

c) When the boat is 20 ft long, it has a capacity of 8 passengers. You can tell this because at 19 ft, there are 8 passengers and at 21 ft, there are 10 passengers.

d) When the boat is 29 ft long, it has a capacity of 16 passengers. You can tell this by continuing the graph to reach 29 ft in the length of boats.

Answer:

Geometric

Ratio

10:1

Step-by-step explanation:

The sequence is geometric because the common connection between the numbers is divided by 10.

It is ratio, because the sequence is geometric

The ratio is 10:1, because the previous number is 10 times as large as the following number

Hope this helps

Answer:

Solution,

[tex]10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

83.3 ft tall

Step-by-step explanation:

[tex]sin(40) = \frac{x}{125} \\x = 125 * sin(40)\\x = 80.34845[/tex]

Round to 80.3 and add Hudson's height

80.3 + 3 = 83.3ft tall

The kite is approximately 83.35 feet above ground.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

Sin = opposite side / hypotenuse

Sin 40 = x/ 125

x = Sin 40 (125)

x = 125 (0.642)

x = 80.3

In order to find the height of kite off the ground, we will add the height of Hudson to 80.35 feet as well as he is flying the kite.

80.3 + 3 = 83.3 ft tall

Hence, the kite is approximately 83.35 feet above ground.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Answer:

Measure of central angle is 3.665 radians

Step-by-step explanation:

In this question, we are trying to get the value of the central angle.

As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.

Mathematically the length of an arc is calculated as follows;

Length of arc = theta/360 * 2 * pi * r

Plugging the values we have from the question;

14 pi = theta/360 * 2 * pi * 12

divide both sides by 2pi

7 = theta/360 * 12

360 * 7 = 12 theta

theta = (360 * 7)/12

theta = 210

Since 1 degree = pi/180 radian

it means 210 degrees = 210 * pi/180 = 3.665 radians

Answer:

[tex]\frac{7\pi }{6}[/tex]

Step-by-step explanation:

Khan Academy

Answer:

The number of black pieces needed to manufacture the ball is 11 black pieces

Step-by-step explanation:

Given that the number of pieces in the soccer ball = 32 pieces

The shape of the white piece = Hexagon

The shape of the black piece = Pentagon

Each black piece borders with only white pieces

Each white piece borders with three black pieces and three white pieces

For the first black pie  piece is borders to 5 white pieces total 6 pieces

Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece

Each black piece holds one white piece to add extra 5 pieces to make the total = 26

At the outermost shell of the arrangement, each of the white piece attached  to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,

The last piece is white

Total black piece = 1 + 5 + 5 = 11 black pieces.

Answer:

3,000

Step-by-step explanation:

Loan = 20,000

Simple Interest per year = 5% of 20,000

=> [tex]\frac{5}{100}* 20,000[/tex]

=> 5 * 200

=> 1,000

Simple Interest for 3 years = 3 * 1000

=> 3,000

Answer:

3000

Step-by-step explanation:

SI = P × R × T

Use simple interest formula.

20000 × 5% × 3

1000 × 3

= 3000

Answer:

x= 15 and y=4

Step-by-step explanation:

Let's start by finding y first using the basic proportionality

now time to find x using the same way:

Hey there! I'm happy to help!

We want to find how much paper we need to make the cup. So, we need to find the surface area of the cylinder, which is basically the "walls and floors" of the cup. So, this is the circle on the bottom and the surrounding stuff that goes up. There is no circular top to this cup, which will be important when finding the total area of paper.

So, first we need to find how much paper we need to make the bottom circle. The formula for the area of a circle is A=πr². This r represents the radius, or the distance from the center of the circle to the edge. We are given that the cup is 3 cm completely across, and the radius is be half of that, so the radius is 1.5 cm. Let's find the area. We will use 3.14 for π.

π×1.5²=7.065

Now, we need  to find the area of the walls of the cup. The wall is a rectangle that is basically wrapped around the circle. The height of the rectangle is the height of the cup and the length of the rectangle is the circumference (perimeter) of the bottom circle because the length of the rectangle wraps completely around the circle.

First, let's find the circumference of the circle. The circumference is the diameter (distance across the circle, so 3 cm) multiplied by π. We will use 3.14 for π.

3π=9.42

So, this means that the long side of the rectangle is 9.42 cm, and now we multiply this by the height.

9.42×6.4=60.288

Now, we add the rectangle area and the bottom circle area.

60.288+7.065=67.353

But, they want us to round to the nearest centimetre, so we will just say 67 square centimetres.

An important thing to note is that this is not  the area of a normal cylinder (one with a top and a bottom circle) because it is a cup so it does not have a top. If you have a cylinder with a top and a bottom, you would just multiply the area of the circle by two, so then you have the top and bottom. If that were the case, the area of our cylinder would be 74 cm with the numbers we have been given here.

Have a wonderful day!

Answer:

The number of adults that said exactly one coping mechanism are 25 adults

Step-by-step explanation:

Total number of adult in the group = 60 adults

The number that go on vacation vacation = 34

The number that go for a smoke break = 27

The number that listen to music = 41

The number that go for a vacation and smoke = 13

The number that smoke and listen to music = 16

The number that go for a vacation and listen to music = 20

The number that said two of the coping mechanism = 28

Set theory

We have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)

Given that the following relations;

n(A∪B∪C) = 60

n(A) = 34

n(B) = 27

n(C) = 41

n(A∩B) = 13

n(A∩C) = 20

n(B∩C) = 16

Therefore;

60 = 34 + 27 + 41 -13 -  20 - 16 + n(A∩B∩C)

∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 -  20 - 16) = 7

Given that 28 said exactly 2, we have;

Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3

Total number of respondents = 60

Those that said exactly 2 = 28

Those that said exactly 3 = n(A∩B∩C) = 7

Therefore;

60 = Those that said exactly 1 + 28 + 7

Those that said exactly 1 = 60 - (28 + 7) = 25

Alternatively, we have;

Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C))  + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))  

= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25

60 - 28 - 7 = 25

The number of adults that said exactly one coping mechanism = 25.

Answer:

This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.

Answer:

It is 3 and 1/3 divided by 2/3.  None of the choices given work.

Hope it helps <3

Answer:

(12, 190). This represents that after selling 12 ice creams, I gain $190.

Step-by-step explanation:

I just found a scatter plot online. Ignore the current label on the x-axis that says TemperatureC, I just changed that to ice creams. You can change the title of the graph to whatever you want.

Answer: 0.0009

Step-by-step explanation:

Given : Babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036.

i.e. [tex]\mu=3366[/tex]  and [tex]\sigma^2 = 244036\Rightarrow\ \sigma= \sqrt{244036}=494[/tex]

Sample size = 1118

Let [tex]\overline{X}[/tex] be the sample mean weight of babies.

Then, the probability that the mean weight of the sample babies would be greater than 3412 gram:

[tex]P(\overline{X}>3412)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3412-3366}{\dfrac{494}{\sqrt{1118}}})\\\\=P(Z>\dfrac{46}{14.7743})\ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\\approxP(Z>3.11)\\\\= 1-P(Z<3.11)\\\\=1-0.9991=0.0009[/tex]

Hence, the required probability = 0.0009

Answer:

The Answer is 6 :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

f(x)=2^x

Let f(x) =8

8 = 2^x

Rewriting 8 = 2^3

2^3 = 2^x

The bases are the same so the exponents are the same

3=x

Answer:

A) 1/6

Step-by-step explanation:

There are six sides on a dice and one number 3.

That means that you have a chance in one of six roles to get a 3 one time.

This may not be very clear so you can ask more questions in the comments!

Answer:

31+34=65

hopefully petrified and useful and likewise please

Answer:

this is a right angled triangle

Step-by-step explanation:

It has a 90 degree angle

the hypotenuse is the longest

The other two sides adjacent to the right angle are perpendicular

It could also be called an isosceles right angled triangle

Answer:

Right angled and Isosceles

Step-by-step explanation:

Right angled because one corner of the triangle is marked with a square, which shows it is 90degrees.

Isosceles because 2 angles and 2 sides have been marked with similar lines and curves, which shows that they are equal in length. When 2 angles and 2 sides are equal, the triangle is isosceles.

Hope this helps.

Good Luck

Answer:

x = 12

Step-by-step explanation:

We can use the Cross Products Property.

9 / 12 = x / 16

12x = 9 * 16

x = 9 * 16 / 12 = 12

Answer:

x = 12

Step-by-step explanation:

→ First we work out the multiplier between 16 and 12 so,

16 ÷ 12 = 1.3 recurring

→ Multiply this multiplier by 9

9 × 1.3 recurring = 12

→ x = 12