i need the answers please

I Need The Answers Please

Answers

Answer 1

Answer:

(7) AB is a tangent , (8) AB is not a tangent

Step-by-step explanation:

the angle between a tangent and the radius is 90°

if AB is a tangent then Δ ABC is right with hypotenuse AC

using Pythagoras' identity

the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides.

if AC² = AB² + BC² , then AB is a tangent to the circle

(7)

AC² = 34² = 1156

AB² + BC² = 30² + 16² = 900 + 256 = 1156

since AC² = AB² + BC² , then AB is a tangent to the circle

(8)

AC² = 28² = 784

AB² + BC² = 21² + 20² = 441 + 400 = 841

since AC² ≠ AB² + BC² , then AB is not a tangent to the circle


Related Questions

A rectangle has an area of
72 square centimeters. The width of the rectangle is 8 centimeters.

Answers

Answer:

[tex]\boxed{\bf length=9\; cm}[/tex]

Step-by-step explanation:

Given:-

Area = 72

width = 8

Area = length  × width

[tex]\bf 72=length \times 8[/tex]

Divide 72 / 8:-

[tex]\bf length=9\; cm[/tex]

If you're asking to find the length, this's your answer.

____________________________

Hope this's what you're looking for!

A fair die is tossed three times - Find the probability that a prime even number Showed twice.​

Answers

Answer:

Step-by-step explanation:

Total no. of possible outcomes = 6 (1,2,3,4,5,6,)

As given we have only one prime even no. from the above given set, that is 2.

Let's call this event A.

Total no. of favourable outcomes =P(A)= 1

Therefore the probability is  P(A)= 1/6

What is the area of figure?
A. 56 square meters
B. 80 square meters
C. 120 square meters
D. 136 square meters
E. 152 square meters
(quiz help )​

Answers

Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D

Two trains leave towns 648 miles apart at the same time and travel toward each other. One train travels 14 mi/h faster than the other. If they
meet in 4 hours, what is the rate of each train?

Answers

We can conclude after answering the presented question that Hence the equation slower train's speed is 13.25 miles per hour, while the faster train's speed is 27.25 miles per hour (13.25 + 14).

What is equation?

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or readings of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the calculation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Because we know the two trains are going in the same direction, their relative speed equals the total of their speeds, which is (x + x+14) = 2x + 14.

We also know that the distance between them is shrinking at a pace of 648 miles in 4 hours, or at a rate of 648/4 = 162 miles per hour.

[tex]162 = (2x + 14) x 4 = distance = rate x time\\162 = 8x + 56\\106 = 8x\sx = 13.25\\[/tex]

Hence the slower train's speed is 13.25 miles per hour, while the faster train's speed is 27.25 miles per hour (13.25 + 14).

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the worlds population hit 8 billion in 2022. suppose the population increases exponentially with doubling time of 60 years. what population can we expect in the year 2100. Answer in billions

Answers

Therefore, we can expect the world population to be around 17.6 billion in the year 2100 if it continues to increase exponentially with a doubling time of 60 years.

What is decimal place?

A decimal place is a position in a number that is to the right of the decimal point. It represents a fractional part of the number. For example, in the number 3.14159, the digit "1" is in the tenths place, the digit "4" is in the hundredths place, the digit "1" is in the thousandths place, and so on. Each place value to the right of the decimal point represents a power of 10 that is negative, such as tenths, hundredths, thousandths, ten-thousandths, and so on. The number of decimal places determines the degree of precision in the number.

by the question.

To determine the population in the year 2100, we need to calculate how many times the population will double between 2022 and 2100, which is 78 years.

78 years divided by 60 years is approximately 1.3, which means that the population will double 1.3 times between 2022 and 2100.

2 to the power of 1.3 is approximately 2.2, which means that the population in 2100 will be 2.2 times the population in 2022.

So, the population in 2100 will be:

8 billion x 2.2 = 17.6 billion (rounded to one decimal place)

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Three friends, Nakobe, Mikah, and Ashton, are saving up money to buy microphones for their podcast. The total cost of the microphones is represented by the expression 8x2 − 4x + 9.

The friends have already saved the following amounts:

Nakobe: x2
Mikah: x − 14
Ashton: 2x + 6

Which expression represents the amount of money the friends still need to buy the microphones?

x2 + 3x − 8
x2 + 3x + 26
4x2 + 4x + 9
7x2 − 7x + 17

Answers

Answer:

7x^2 - 7x + 17

Step-by-step explanation:

we can subtract what they already have from what they total cost for the microphones:

8x^2 - 4x + 9 - (x^2) - (x - 14) - (2x + 6)

simplify this:

8^2 - 4x + 9 - x^2 - x + 14 - 2x - 6 =

7x^2 - 7x + 17

To the nearest tenth of a second, how long after the pebble falls will it hit the ground?
s

Answers

Answer:

Ask away by typing or recording your messageAdam, Ben and Carly work out the mean of their ages.Adam is 4 years older than the mean. Ben is 1 year younger than the mean.Is Carly older or younger than the mean?By how many years?Let's start by finding the mean of their ages. We can do this by adding their ages and dividing by the number of people: Mean = (Adam's age + Ben's age + Carly's age) / 3 Let's call the mean "M" for now. We can use this to create two equations based on the information given: Adam = M + 4 Ben = M - 1 We can substitute these equations into the mean equation to get: M = (M + 4 + M - 1 + Carly's age) / 3 Simplifying this equation gives us: 3M = 2M + 3 + Carly's age Carly's age = M - 3 So Carly's age is younger than the mean by 3 years.Hey ✋, are you still around? anything else on your mind?To the nearest tenth of a second, how long after the pebble falls will it hit the ground?sTo answer this question, we need to know the height from which the pebble was dropped. We can use the formula: time = sqrt(2 * height / acceleration due to gravity) Assuming the pebble was dropped from a height of 10 meters, and taking the acceleration due to gravity as 9.8 m/s^2, we get: time = sqrt(2 * 10 / 9.8) = 1.43 seconds (to two decimal places) Therefore, the pebble will hit the ground approximately 1.43 seconds after it was dropped.

0 / 350

(4,-3) with undefined slope

Answers

Answer:

x = 4

Step-by-step explanation:

assuming you require the equation of the line passing through the given point.

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (4, - 3 ) with x- coordinate 4 , then

x = 4 ← equation of line

Please help!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!

Golf Skydiving Fishing 100-yard dash
Drag racing

1. Brainstorm: Which of the above sports do you think the graph could represent? Why?

2. Brainstorm: What vocabulary and properties of graphs and functions do you see represented in the graph? How did any of those affect your choice for the sport?

(Photo of graph is added)

Answers

I think it could represent the 100-yard dash. The graph represents distance versus time, which is a common way to graphically display motion.

What is graph?

A graph is a visual representation of data that displays the relationship between two or more variables. Graphs can be used to illustrate numerical information in a clear and concise way, making it easier to understand and analyze complex sets of data. Graphs can be created using various types of software or by hand, and there are many different types of graphs, including line graphs, bar graphs, scatter plots, pie charts, and more.

Here,

The vertical axis represents the distance, and the horizontal axis represents time. The line on the graph shows how the distance traveled changes with respect to time.

The graph also shows that the runner covers a certain distance in a specific amount of time, which is a fundamental concept in physics. In the case of the 100-yard dash, the graph shows how the runner covers 100 yards in a certain amount of time.

Overall, the graph displays the key characteristics of motion and can be used to analyze and compare the performance of athletes in various sports.

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Divide: (x2 – 3x – 33) = (x + 4)

Answers

Answer:

x2-3x-33=x+4

<=> x2-3x-x-33-4=0

<=> x2-4x-37=0

<=> x=2 + square root(41) or 2- square root(41)

how many thirds in 6 2/3​

Answers

Answer:

20

Step-by-step explanation:

it take 3 ⅓ to make a whole so to makee 6 wholes it would take 18 and 2 more thirds and that would 20 ⅓ in 6 ⅔

The answer is 20. This does become a repeating decimal but it becomes 20 and you may have to round.

Find X using Sine law

Answers

[tex]\textit{Law of sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin(x)}{32}=\cfrac{\sin(50^o)}{40}\implies \sin(x)=\cfrac{32\sin(50^o)}{40} \\\\\\ x=\sin^{-1}\left[ \cfrac{32\sin(50^o)}{40} \right]\implies x\approx 37.79^o[/tex]

Make sure your calculator is in Degree mode.

Evaluate the expression. Round to the nearest tenth

Answers

Answer: 3.

Step-by-step explanation:

1 times 1/5 is 1/5.

1/5+ 2 times 1/5 is 1/5+2/5

1/5+2/5+ 3 times 1/5 is 1/5+2/5+3/5

1/5+2/5+3/5+ 4 times 1/5 is 1/5+2/5+3/5+4/5

1/5+2/5+3/5+4/5+ times 1/5 is 1/5+2/5+3/t+4/5+5/5

1/5+2/5+3/5+4/5+5/5=15/5

15/5=3

what is the value of b

Answers

Answer:

b=46

Step-by-step explanation:

First we know that the sum of all three angles is 180. So that gives us the equation 2b+88=180, then we can solve.

2b=180-88

2b=92

b=46

So that means b=46!

As you may know, a straight line = 180°

Since we already have 88° as one of the values, we can simply subtract that from 180.

180 - 88 = 92

Next, divide 92 by 2

92 ÷ 2 = 46

With that being said, we can conclude that the value of B is 46.

You can double check this by adding all of the values together: 46 + 46 + 88 = 180

if g(x) = f(1/3x) which statement is true

Answers

B. The graph οf functiοn f is stretched hοrizοntally by a scale factοr οf 3 tο create the graph οf functiοn g.

What is linear transfοrmatiοn?

A linear transfοrmatiοn is a functiοn that mοves frοm οne vectοr space tο anοther while maintaining the underlying (linear) structure οf each vectοr space.

The rules fοr linear transfοrmatiοns are that

g(x) = a·f(b·(x-c)) +d

stretches the graph vertically by a factοr οf "a" (befοre the shift)

cοmpresses the graph hοrizοntally by a factοr οf "b" (befοre the shift)

shifts it tο the right by amοunt "c"

shifts it up by amοunt "d".

Yοur equatiοn has b=1/3, sο the graph is cοmpressed by a factοr οf 1/3, which is equivalent tο a stretch by a factοr οf 3.

The apprοpriate chοice οf descriptiοn is ...

b) the graph οf g(x) is hοrizοntally stretched by a factοr οf 3

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Complete Question:

Select the correct answer. If , which statement is true? if g(x) = f(1/3x)

A. The graph of function f is stretched vertically by a scale factor of 3 to create the graph of function g.

B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.

C. The graph of function f is compressed horizontally by a scale factor of to create the graph of function g.

D. The graph of function f is compressed vertically by a scale factor of to create the graph of function g.

The point S=(8,7) is the center of the circle O. Through the point M=(-5,-2) is drawn a secant k, whose distance from the point S is equal to 5, and a tangent l to the circle O. The secant k intersects the circle O in the points B and C. Point A is the common point of tangent l and circle O, and segment AC is the diameter of this circle.
Determine the equation of the circle O.

Answers

The equation for the circle O, given the diameter, the secant K and the common point of tangent I, is:

(x - 8)² + (y - 7)² = 15²

(x - 8)² + (y - 7)² = 225

How to find the equation of the circle ?

To determine the equation of the circle O with center S(8, 7) and point M(-5, -2) on the secant k, we first need to find the radius of the circle.

Given that the distance from point S to secant k is 5, we can use the Pythagorean theorem to find the length of MA, which is equal to the radius of the circle.

MA² + AS² = MS²

MA² + 5² = MS²

Calculate the distance between points M and S:

MS = √((8 - (-5))² + (7 - (-2))²) = √(13² + 9²) = √(169 + 81) = √250

Now we can find the length of MA:

MA² + 5² = 250

MA² = 250 - 25 = 225

MA = √225 = 15

The equation of a circle with center (h, k) and radius r is given by:

(x - h)² + (y - k)² = r²

Using the given center S(8, 7) and radius 15, the equation of the circle O is:

(x - 8)² + (y - 7)² = 15²

(x - 8)² + (y - 7)² = 225

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A total of 5 identical pencils cost $6.50. What was the price for each individual pencil?

Answers

Answer:

Step-by-step explanation:

1.3

just divdve

5 inches is
times as big as 1 inch.
12.7 centimeters is
times as big as 2.54 centimeters.

Answers

Answer:

d

Step-by-step explanation:

believe me it's d because it says it in the text above u just have to read it carefully

jaquan ate 5 mangoes , 1//9 was what he pick. How much did he pick?​

Answers

0.5 because when you multiply 1/9 from 5 you get .5

PLEASE HELP. tons of points for reward

answer like this…
69)
70)
71)
72)

Answers

Step-by-step explanation:

69) If 10 packages of shallots cost $40, then the cost of one package of shallots can be calculated as:

$40 ÷ 10 packages = $4 per package

To find out how many packages of shallots can be purchased with $8, divide the total amount of money by the cost per package:

$8 ÷ $4 per package = 2 packages

Therefore, with $8, you can buy 2 packages of shallots.

70) If three Bosc pears cost $2, we can use a proportion to determine how many pears we can buy for $4:

3 pears / $2 = x pears / $4

Cross-multiplying, we get:

3 pears × $4 = $2 × x pears

Simplifying, we get:

12 = 2x

Dividing both sides by 2, we get:

x = 6

Therefore, with $4, you can buy 6 Bosc pears.

71)If the exchange rate is 11 pounds for every $2, we can use a proportion to determine how many pounds we can get if we exchange $4:

11 pounds / $2 = x pounds / $4

Cross-multiplying, we get:

11 pounds × $4 = $2 × x pounds

Simplifying, we get:

44 = 2x

Dividing both sides by 2, we get:

x = 22

Therefore, if you exchange $4, you can get 22 pounds.

72) If 9 packages of basil cost $27, we can use a proportion to determine how many packages of basil we can buy for $9:

9 packages / $27 = x packages / $9

Cross-multiplying, we get:

9 packages × $9 = $27 × x packages

Simplifying, we get:

81 = 27x

Dividing both sides by 27, we get:

x = 3

Therefore, with $9, you can buy 3 packages of basil.

answer is 69) for this question

HELP ASAP
A net of a rectangular prism is shown.


A net of a rectangular prism with dimensions 5 and three-fourths centimeters by 4 centimeters by 11 and three-fourths centimeters.


What is the surface area of the prism?


five hundred fifty and one-fourth cm2

four hundred twelve and three-fourths cm2

two hundred seventy-five and one-eighth cm2

one hundred thirty-seven and nine-sixteenths

Answers

Hence, the rectangular prism has a surface area of 280 and 1/4 [tex]cm^2[/tex] as the  rectangular prism has the measurements .

what is rectangle ?

A hexagon having four right angles (90º angles) and opposing sides of equal length is called to as a rectangle. It is a particular kind of rectangle in which every angle is a right angle. A rectangle has parallel opposed sides and diagonals that cut it in half. The length (l) and breadth (w), which have been perpendicular to one another, define a rectangle. A rectangle's area is equal to the product of the its width and length, or lw, and its perimeter is equal to the sum of all of its sides, or 2(l+w). In geometry, math, and daily life, such as in doors, frames, and picture frames, rectangles are frequently occurring forms.

given

The rectangular prism has the following measurements: 5 centimetres by 4 centimetres by 11 and three-quarters centimetres.

The region of each face is thus:

Face 1: 5 3/4 cm x 4 cm equals 23 [tex]cm^2[/tex]

Face 2: 5 and 3/4 inches by 11 and 3/4 inches is 70 and 1/8 centimetres square.

Face 3: 4 cm x 11 3/4 cm equals 47 [tex]cm^2[/tex]

Total surface area = 23 cm2 + 70 eighths of a cm2 + 47 eighths of a [tex]cm^2[/tex] + 23 eighths of a cm2

Surface area total = 280 and 1/4 [tex]cm^2[/tex]

Hence, the rectangular prism has a surface area of 280 and 1/4 [tex]cm^2[/tex] as the  rectangular prism has the measurements .

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What would the answer be?

Answers

The dilation of the black figure to blue figure is a reduction with a scale factor of 0.5

How to find the scale of dilation?

A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.

It can either be an enlargement or a reduction.

An enlargement means a scale factor greater than 1 while a reduction is a scale factor less than 1.

Thus, this dilation is a reduction.

Coordinates of initial figure are:

(-8, 10), (10, 10), (8, -8), (2, -8)

Coordinates of dilated figure are:

(1, -4), (4, -4), (-4, 5), (5, 5)

Thus, it is clear that the scale factor is 0.5

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Can you solve this question?
f'(3)=?

Answers

Answer:

Step-by-step explanation:

[tex]f(x)=16e^x-ex^e[/tex]

[tex]f'(x)=16e^x-e^2x^{e-1}[/tex]

[tex]f'(3)=16e^3-e^23^{e-1}[/tex]

[tex]f'(3)=e^2(16e-3^{e-1})[/tex]

HELP PLS!!!!!!!!!!!!!!!

Answers

I believe the correct answer is H

Explain the theory of mathematics ​

Answers

Correct answer, ask more questions in you need it.

There are number of thesis that are given for mathematics by various professors and scientists at various levels that are being implemented from time to time.

A theory is nothing but a set of statements which may be based on certain principles that might have been derived by performing some experiments and attaining a proper conclusion. For example, if we say 'the sky is blue'. It means this truth can never be changed irrespective of the situations. This will remain mortal.

Similarly, there are plenty of terms in mathematics such as decimals, percentage, geometry, algebra and more fundamentals. These are existing since ages and have been challenged also. But the theory remains the same. There operas-memoranda remains the same. So various scholars, have given various theories of mathematics.

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Acellus
Acellus
Length of Arcs
Find the length of AB. Leave
your answer in terms of π.
27
A
20° AB =[?]T
B
l'o

Answers

The length of arc-AB = 3π

Define the term Circle identities?

The Circle identities refer to a set of fundamental identities in trigonometry that relate the six trigonometric functions of an angle in a right-angled triangle.

Given circle;

arc-AB (θ) = 20°  and  radius, r = 27

We know the formula,

length of arc = (θ/360°) × 2πr

after putting the values,

length of arc-AB = (20°/360°) × 2π × 27

length of arc-AB = (1/18) × 54π = 3π

Therefore, the length of arc-AB = 3π

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The length of arc-AB = 3π. The Circle identities are a collection of trigonometric fundamental identities that relate to the six trigonometric properties of an angle in a right-angled triangle.

How do I find the length of an arc?

The central angle and sector area are required to compute arc length without radius: Divide the value by the central angle in radians after multiplying the area by two. Calculate the square root of this fraction. To get the arc length, multiply this root by the centre angle once more. The arc length is shown to be identical to the radius length. Radians are the ratio constant between an arc length and a radius length.

Given circle;

arc-AB (θ) = 20°  and  

radius, r = 27

The length of an arc,

length of arc = (θ/360°) × 2πr

after substituting the values,

length of arc-AB = (20°/360°) × 2π × 27

Simplify the above equation,

length of arc-AB = (1/18) × 54π = 3π

Therefore, the length of arc-AB = 3π

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In the given Fig. PQR is a triangle, right angled at Q. If XY || QR, PQ = 6 cm, PY = 4 cm and PX : XQ = 1 : 2. Calculate the lengths of PR and QR.

Answers

Basic Proportionality Theorem (BPT): If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. This is also known as Thales theorem.

Given:

[tex]\angle Q= 90^\circ , XY \ || \ QR, PQ = 6 \ \text{cm}, PY = 4 \ \text{cm} \ \text{and} \ PX : XQ = 1 : 2[/tex]

Since, [tex]XY \ || \ QR[/tex],

[tex]PX/XQ = PY/YR[/tex]

[ By Thales theorem (BPT)]

[tex]\dfrac{1}{2} = PY/YR[/tex]      [tex][PX : XQ = 1 : 2][/tex]

[tex]\dfrac{1}{2} = 4 /(PR - PY)[/tex]

[tex][YR= PR - PY][/tex]

[tex]\dfrac{1}{2} = 4 /(PR - 4)[/tex]

[tex]PR - 4 = 2 \times 4[/tex]

[tex]PR - 4 = 8[/tex]

[tex]PR = 8 +4[/tex]

[tex]PR = 12 \ \text{cm}[/tex]

In right [tex]\Delta PQR[/tex],

[tex]PR^2 = PQ^2 + QR^2[/tex]

[ By Pythagoras theorem]

[tex]12^2 = 6^2 + QR^2[/tex]    [tex][\text{Given} : PQ= 6 \ \text{cm}][/tex]

[tex]144 = 36 + QR^2[/tex]

[tex]144 - 36 + QR^2[/tex]

[tex]108= QR^2[/tex]

[tex]QR =\sqrt{108} =\sqrt{3\times36} = 6\sqrt{3} \ \text{cm}[/tex]

Hence, the lengths of PR and QR is 12 cm and [tex]6\sqrt{3}[/tex] cm.

Concerns about climate change and C02 reduction have initiated the commercial production of blends of biodiesel eg from renewable sources and petrodiesel from fossil fuels. Random samples of 38 blended fuels are tested in a lab to ascertain the bio total carbon ratio
URGENT ANSWER BOTH A/B and C

Answers

.....Answer:

..........Step-by-step explanation:

find the first three terms of the expansion of the following in acceding power of x ((x +2)/(1+x)*2)​

Answers

Step-by-step explanation:

((x+2)/(1+x)*2)2x +3*22x+6x+6*2x+12

Q6b. The teenager from the question above rejoins the group and another teenager is picked at random.
What is the probability that the teenager picked at random is male and their favourite hobby is playing video games? You can simplify this fraction if you wish.

Answers

Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.

what is probability ?

Probability is a mathematical concept that expresses the possibility or chance of an event happening. It is stated as a number between 0 and 1, where 0 denotes the impossibility of an event and 1 denotes its certainty. By dividing the number of favorable outcomes by the entire number of possible possibilities, the probability of an event is determined.

given

The odds of selecting a male adolescent at random are x/n, while the odds of selecting a teen whose preferred pastime is playing video games are y/n.

As these two occurrences are separate, the likelihood that both will occur is the product of the probabilities:

The odds of selecting a male teen who enjoys video games are (x/n) * (y/n) = xy/n2.

By dividing the numerator and denominator by the greatest common factor (GCF) of x and y, if one exists, this can be made simpler.

For instance, the probability is simplified as follows if x=4 and y=6, where the GCF is 2:

Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.

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g create the following sql script (save as w6 firstname lastname.sql) . create a simple database with the following 1) create insert script (10 inserts) 2) create update script (10 updates) 3) create the following:- a) select all records b) select all records sorted descending , ascending c) select all records with condition (where) d) count all records e) count all record with condition 4) create 3 delete scripts the percentage of people who prefer dogs to cats is 78% for a given population. what is the standard error of the sampling distribution of sample proportions for samples of size n lynne has \$8.00$8.00dollar sign, 8, point, 00 to spend on apples and oranges. apples cost \$0.65$0.65dollar sign, 0, point, 65 each, and oranges cost \$0.75$0.75dollar sign, 0, point, 75 each. if there is no tax on this purchase and she buys 555 apples, what is the maximum number of whole oranges she can buy? What did Adam Smith believe about self-interest and government regulation of the economy? A. He believed people should be allowed to pursue their own self-interest because it was necessary to support mercantilist economies. B. He believed governments should regulate people's economic activities to limit the harm caused by the industrialization of the economy. C. He believed governments should regulate people's economic activities to ensure that all people benefited from economic growth. D. He believed people should be allowed to pursue their own self-interest because doing so would create a collective benefit for the economy. Molly is filling bags of marbles. She makes each bag so that 3 out of every 8 marbles are blue. Which equation correctly compares the number of marbles she uses, x, to the number of blue marbles, y? while alice is under hypnosis, she expresses strong emotions about being in a car accident that caused the death of her oldest son. when not under hypnosis, she expresses no emotion about the death of her oldest son when talking about the accident. this absence of emotion when not under hypnosis is characteristic of Which type of sentence is this?An avid reader, Austin attends weekly book club meetings, and he finishes several novelsevery month. which theorist was among the first to point out the similarities between the expressions of humans and those of animals in modern democracies, courts and judges have taken over the power to settle conflicts by History of china's great wall. Consider the mass and velocity values of Object A and B below. Compared to Object B, Object A has _______ momentum.Object A: m=67 kg v=17m/sObject B: m=2 kg v=100m/s the single most important idea the company hopes to convey to its target audience about a product is the ________. Find the arc length of the semicircle. Either enter an exact answer in terms of pi or use 3.14 3.143, point, 14 for pi and enter your answer as a decimal. units What does a filter drier do? 20 points answer fast!Which is the correct use of the followingparticiple phrase:galloping as fast as the windA. Galloping as fast as the wind, four horses pulled atattered, brown stagecoach into the sleepy town.B. Galloping as fast as the wind, a brown, tatteredstagecoach was seen drawing into the sleepy town.C. Galloping as fast as the wind, a stagecoach drew nearthe sleepy town. the us postal service can serve as an analogy for internet transport protocols. the postal service offers various services: first class letter: the default service with no extras. certified mail: sent using the standard route but provides the sender with proof that the letter was delivered. registered mail: sent using secure mechanisms along the way (e.g. locked cages). similarly, there are multiple transport protocols that can be used on top of ip, with tcp and udp being the most popular. which analogy between the transport protocols and usps services makes the most sense? a ________ network is one that has at least one computer that provides centralized management, resources, and security. the main tube that carries air to and from the lungs is called ? what is the mitochondria often referred to as? In his Nobel Prize speech, Elie Wiesel states, "action is the only remedy to indifference, the most insidious danger of all" (120). In your own words, explain what this quote means and describe how it connects to the purpose of the memoir.Your response should be at leat 5-8 sentences. You can copy/paste the sentence above to begin your response.