Sandra plotted the point whose ordered pair is (-4, 6). Which point did Sandra plot?
Point D
Point A
-10 6
Point B
Point C

Answer:

[tex](2,2)~ \text{and}~ (-2,-2)[/tex]

Step by step explanation:

[tex]x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\[/tex]

[tex]\text{Hence,}~ (x,y) = (\pm2, \pm 2)[/tex]

If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.

Binomial distributions consist of n independent Bernoulli trials.

The expected value will be given as

E(X) = np

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.

If 10 donuts are sold.

Then the number of the sprinkles will be

The probability will be

p = 3/6

p = 0.5

n = 10

Then the expected value of the number of the sprinkles will be

E(x) = 10 x 0.5

E(x) = 5

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Answer:

Step-by-step explanation: Just relax effortlessly. Communion Kant be for All unless we are primed for purpose...

A free market is one where voluntary exchange and the laws of supply and demand provide the sole basis for the economic system, without government intervention. A key feature of free markets is the absence of coerced (forced) transactions or conditions on transactions.

Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.

This is know to be the thought method or act that helps a consumer to identify a need, gather options, and choosing a given product and brand.

Note that Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.

If I am to purchase 550 frozen treats, I will buy:

Ice cream bar fruit  = 300

Frozen bar fruit = 250

Therefore,  for  Ice cream bar fruit , it will be = amount x cost price

300 x  0.85 = 255

For Frozen bar fruit = 250 x  0.50

= 125

Add up the total cost= 255 + 125

Total amount spent will be= 380

Therefore we can see that the total price spent falls within the budget allocated and so I will choose both  Ice cream bar fruit and frozen bar fruit.

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Answer:

76°

Step-by-step explanation:

Taking the cosine ratio of the angle of depression :

Answer:

∠J = 31.06°

Step-by-step explanation:

Taking the inverse sin function :

400 dollars

4000/10=400 dollars

Answer:

[tex]800\pi yd^3[/tex]

Step-by-step explanation:

[tex]A = 10\pi ^2(8)\\= 800\pi yd^3[/tex]

Answer: 2513.27 yd³

Step-by-step explanation:

     Volume of a cylinder:

-> This formula means we are finding the area of the base circle and multiplying it be the height

V = πr²h

V = πr²h

V = π(10)²(8)

V ≈ 2513.27 yd³

The volume of the figure is about 2513.27 yd³.

Answer:

0.03

Step-by-step explanation:

You can do this on a calculator.

6 ÷ 161 = 0.0372670807

Hope this helped

Answer:

-24 + (-55) = -79

Step-by-step explanation:

-4x+6+11x - 5​

Step-by-step explanation:

[tex] = x + 6 + 11x - 5[/tex]

Organize the expression....

[tex] = x + 11x + 6 - 5[/tex]

Simplify the expression...

[tex] = 12x + 1[/tex]

...

Answer:

Complete the following statements.

The functions f and g have the same axis of symmetry.

The y-intercept of f is greater than the y-intercept of g.

Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.

The choice that could represent the surface area of a pyramid is  75.6 feet squared

The surface area of an object is the total sum of the area of its net. The surface area of any object is expressed in square units.

For instance, a pyramid with 4 triangles and a base area with al the units in feet can be expressed as:

TSA = area of 4 triangles + area of the base

Hence the choice that could represent the surface area of a pyramid is  75.6 feet squared

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Answer:

C/3

Step-by-step explanation:

Answer:

“teenager protagonists confronting horror”

Step-by-step explanation:

Marney herself said that she wrote the story specifically about “teenager protagonists confronting horror” for a teenage audience to give them “comfort” and impart a powerful message: “you are strong enough to deal with this. You have been in far worse situations and survived.

Answer:

I love sleep

Step-by-step explanation:

Answer:

12.9 cm

Explanation:

Volume of rectangular box = Length × Width × Height

Given following:

Solve for volume:

Answer:

B

Step-by-step explanation:

let me know if you need an explanation, I'll add one :D

An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.

Dimensions of the bottom of the box: L x W

Height of the box:

SOLUTION

Diagram

Cardboard with x2 area cutouts...

··················14 - 2x

···x··¦¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¦···x··

¦——¦·······························¦——¦

¦·············································¦

¦·············································¦ 6 - 2x

¦·············································¦

¦——¦·······························¦——¦

···x··¦___________________¦··x···

Volume = l·w·h

After cutouts:

l = 14 - 2x

w = 6 - 2x

h = x

V = (14 - 2x)(6 - 2x)(x) in3

V = 4x3 - 40x2 + 84x in3

To maximize the volume, take the derivative of V with respect to x, set it equal to zero, and solve for x:

dV/dx = 0 = 12x2 - 80x + 24

x2 - (20/3)x + 7 = 0

x = (10 ± √37)/3 in

Since (6 - 2x) yields a negative number for x = (10 + √37)/3 we use only x = (10 - √37)/3

Thus, the dimensions are:

l = 14 - 2x = 11.39 in

w = 6 - 2x = 3.39 in

h = x = 1.31 in

Base = l·w = 38.59 in2

Volume = 50.39 in3

Answer:37

Step-by-step explanation:

just took the test

Answer:

$162000

Step-by-step explanation:

8% of 10000

10000÷100=100×8=800

10000+800=10800

10800×15=162000

Answer:

9

Step-by-step explanation:

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:

x = 5

Step-by-step explanation:

The triangles are similar by AA similarity.

They share a common angle (∠A) and have an angle of 90°.

Since they are similar, we can takes the sides in proportion.

Answer:

x = 10.

Step-by-step explanation:

Triangles ABC and ADE are similar so their corresponding sides are in the same ratio.

So we have:

8/16  =  x / (x + 10)

16x = 8(x + 10)

16x - 8x = 80

8x = 80

x = 10

The expression that represents the volume of the empty space is  9³ -  4 / 3 π(4.5)³ cubic units.

The volume of the empty space can be represented as follows

volume of the empty space = volume of cube - volume of sphere

Therefore,

volume of sphere = 4 / 3 πr³

where

Volume of cube = L³

where

Therefore,

volume of cube = 9³

volume of sphere = 4 / 3 π(4.5)³

Hence,

volume of the empty space = 9³ -  4 / 3 π(4.5)³

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Answer:

D

Step-by-step explanation:

other dude typed too much lam

A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.

Simple random sampling is known to be a  types of sampling where there are no laws, rules etc., on how to select the samples.

Note that it is seen easiest way of sampling and as such, A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.

See full question below

A simple random sample from an infinite population is a sample selected such that:

a. each element is selected independently and from the same population

b. each element has a 0.5 probability of being selected

c. each element has a probability of at least 0.5 of being selected

d. the probability of being selected changes

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See attached for a sketch of some of the cross sections.

Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).

If the thickness of each cross section is ∆x, then the volume of each cross section is

∆V = (√(x + 1))² ∆x = (x + 1) ∆x

As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,

[tex]\displaystyle \int_{-1}^1 (x+1) \, dx = \left(\frac{x^2}2 + x\right) \bigg|_{-1}^1 = \boxed{2} ~~~~ (B)[/tex]

Considering the surface area of a cube, and that the figure has two cubes, the total surface area is of 1470 m².

The surface area of a cube of edge length a is given by:

S(a) = 6a².

In this problem, we have two cubes, one with a = 14 m and the other with a = 7 m. Hence, the total surface area, in m², is given by:

S(a) = 6 x 14² + 6 x 7² = 1470.

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There are about 3.5 * 10¹⁶  human hair follicles.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

given, If there are about 5 × 10^6 hair follicles on the human body and about 7 × 10^9 people on the plane.

=35×10⁹⁺⁶

=35x10¹⁵

=3.5×10¹⁶

So the answer is "There are about 3.5 x 10¹⁶ human hair follicles"

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