A segment with endpoints at $A(2, -2)$ and $B(14, 4)$ is extended through $B$ to point $C$. If $BC = \frac{1}{3} \cdot AB$, what are the coordinates for point $C$? Express your answer as an ordered pair.

Answer:

D.  2i√3

Step-by-step explanation:

You have the expression √-12.  You can divide the number in the radical sign into the numbers that make up the expression.  After you do this, you will be able to take numbers out of the radical sign

√(-12)

√(-1 × 4 × 3)

√-1 = i

√4 = 2

√3 = √3

2i√3

The answer is D.

Answer:

y = 700x - 400

Step-by-step explanation:

A negative number represents an altitude below sea level.

Beginning: -400

y = mx + b

y = mx - 400

In 2 hours the altitude was now 1000 m.

1000 m - (400 m) = 1400 m

The altitude went up 1400 m in 2 hours. The rate of change is

1400/2 m/h = 700 m/h

The rate of change is the slope.

y = 700x - 400

Answer:

The graph answer is below :)

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

Since the group of men remains the same, number of hours is proportional to number of radios.

1300/26 = 450/h

h = 26 * 450 / 1300 = 9 hours

In provided diagram angle WXY = angle YXZ

Angle WXY =( 7x-7)°

Angle YXZ = ( 5x +3)°

We have to find out the value of Angle WXZ

→ 7x-7 = 5x +3

→ 7x - 5x = 7+3

→ 2x = 10

→ x = 10/2

→ x = 5 .

Putting the value of x .

→ Angle WXY = 7(2)-7

→ 14-7 = 7°

→ Angle YXZ = 5(2)+3

→ 10+3 = 13°

Angle WXZ = 13° + 7 ° → 20°

So 20° is the required answer .

Answer:

SI

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Okay first we know that for every one baboon there is 2 orang-utans (6 / 3 = 2)

So, I like to play the guess and check:

Lets just use the numbers 12 orang-utans and 6 baboons. We know that those two don't equal 27, so thats not it.

Now we can have 18 orang-utans and 9 baboons. 18 + 9 = 27, which means there are 18 orang-utans.

Hope this helps, and have a good day.

Answer:

The correct answer would be 15.5 or C.

Answer:

[tex]\frac{8}{5}[/tex]

Step-by-step explanation:

Given

7.2 : 4.5 ← multiply both parts by 10

= 72 : 45 ← divide both parts by 9

= 8 : 5

= [tex]\frac{8}{5}[/tex]

Answer:

Yes

Step-by-step explanation:

18 × 200 = 3600

120 × 25 = 3000

270 × 5 = 1350

in total 7950

tickets = 10 × 1000 = 10000

7950 < 10000

Answer:

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

Step-by-step explanation:

Let p be the probability of heads in a single toss of the coin. Then our null hypothesis that the coin is fair will be formulated as

H0 :p 0.5   against   Ha: p ≠ 0.5

The significance level is approximately 0.05

The test statistic to be used is number of heads x.

Critical Region: First we compute the probabilities associated with X the number of heads using the binomial distribution

Heads (x)        Probability (X=x)                        Cumulative     Decumulative

0                        1/16384 (1)             0.000061     0.000061

1                         1/16384  (14)         0.00085             0.000911

2                       1/16384 (91)           0.00555             0.006461

3                       1/16384(364)         0.02222

4                       1/16384(1001)         0.0611

5                       1/16384(2002)       0.122188

6                        1/16384(3003)      0.1833

7                         1/16384(3432)      0.2095

8                        1/16384(3003)       0.1833

9                        1/16384(2002)       0.122188

10                       1/16384(1001)        0.0611

11                       1/16384(364)        0.02222

12                      1/16384(91)            0.00555                             0.006461

13                     1/16384(14)              0.00085                           0.000911

14                       1/16384(1)            0.000061                            0.000061

We use the cumulative and decumulative column as the critical region is composed of two portions of area ( probability) one in each tail of the distribution. If  alpha = 0.05 then alpha by 2 - 0.025 ( area in each tail).

We observe that P (X≤2) =   0.006461 > 0.025

and

P ( X≥12 ) = 0.006461 > 0.025

Therefore true significance level is

∝=  P (X≤0)+P ( X≥14 ) = 0.000061+0.000061= 0.000122

Hence critical region is (X≤0) and ( X≥14)

Computation x= 12

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

Step-by-step explanation:

(AUB)' means they are all outside the set A and B so thats 0. Hope it helps

Answer: x=3.2     AC= 42.8

Step-by-step explanation:

As point B lies at segment AC      AC=AB+BC

Otherwise we can write the equation

5x+9x-2=11x+7.6

14x-2=11x+7.6

14x-2+2=11x+7.6+2

14x=11x+9.6

14x-11x=11x-11x+9.6

3x=9.6

x=9.6:3

x=3.2

AC= 11*x+7.6= 11*3.2+7.6=35.2+7.6=42.8

Answer:

a. 2

b. x^2 + 10x + 26

c. x^2 + 2x + 2

Step-by-step explanation:

For each part, replace x with the value you are given and simplify.

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

a.

f(2) = 2^2 - 2(2) + 2 = 2

b.

f(x + 6) = (x + 6)^2 - 2(x + 6) + 2

= x^2 + 12x + 36 - 2x - 12 + 2

= x^2 + 10x + 26

c.

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

= x^2 + 2x + 2

Rewrite 3 3/4 as an improper fraction

3 3/4 = 15/4

Now you have

15/5 / 5/7

When you divide fractions, change the division to multiplication and flip the second fraction over:

15/4 x 7/5

Now multiply the top numbers together and the bottom numbers together:

( 15 x 7) / (4 x 5) = 105/20

Write as a proper fraction:

105/20 = 5 1/4

Answer:

The effect size of the sample gets larger

Step-by-step explanation:

The effect size of the sample gets larger when the mean difference gets larger and the sample standard deviation stays the same. because the Cohen's effect size is proportional to mean difference  and this can be proven below using the Cohen's formula

Cohen's effect size  = Mean difference / standard deviation

form the question standard deviation is constant while the mean difference gets larger, hence the effect size will get larger as well

Answer:

The answer is:

C. [tex]\bold{x = -1.25h+220}[/tex]

Step-by-step explanation:

Given:

[tex]h=0.8( 220-x )[/tex]

Where [tex]h[/tex] is the heartbeats per minute and

[tex]x[/tex] is the age of person

To find:

Age of person in terms of heartbeats per minute = ?

To choose form the options:

[tex]A.\ x=176-h\\B.\ x=176-0.8h\\C.\ x=-1.25h+220\\D.\ x=h-0.8220[/tex]

Solution:

First of all, let us have a look at the given equation:

[tex]h=0.8( 220-x )[/tex]

It is value of [tex]h[/tex] in terms of [tex]x[/tex].

We have to find the value of [tex]x[/tex] in terms of [tex]h[/tex].

Let us divide the equation by 0.8 on both sides:

[tex]\dfrac{h}{0.8}=\dfrac{0.8( 220-x )}{0.8}\\\Rightarrow \dfrac{1}{0.8}h=220-x\\\Rightarrow 1.25h=220-x[/tex]

Now, subtracting 220 from both sides:

[tex]\Rightarrow 1.25h-220=220-x-220\\\Rightarrow 1.25h-220=-x[/tex]

Now, multiplying with -1 on both sides:

[tex]-1.25h+220=x\\OR\\\bold{x = -1.25h+220}[/tex]

So, the answer is:

C. [tex]\bold{x = -1.25h+220}[/tex]

Answer:

Step-by-step explanation:

Given

Garden: [tex]x^2+18x+81[/tex]

One Bag: [tex]x^2 - 81[/tex]

Requires

Determine the number of bags to cover the whole garden

This is calculated as thus;

[tex]Bags = \frac{x^2+18x+81}{x^2 - 81}[/tex]

Expand the numerator

[tex]Bags = \frac{x^2+9x+9x+81}{x^2 - 81}[/tex]

[tex]Bags = \frac{x(x+9)+9(x+9)}{x^2 - 81}[/tex]

[tex]Bags = \frac{(x+9)(x+9)}{x^2 - 81}[/tex]

Express 81 as 9²

[tex]Bags = \frac{(x+9)(x+9)}{x^2 - 9\²}[/tex]

Evaluate as difference of two squares

[tex]Bags = \frac{(x+9)(x+9)}{(x - 9)(x+9)}[/tex]

[tex]Bags = \frac{(x+9)}{(x - 9)}[/tex]

Hence, the number of bags is [tex]Bags = \frac{(x+9)}{(x - 9)}[/tex]

Answer:

64

Step-by-step explanation:

Let us consider E_abc to be the event that a, b and c appear on the first, second and third slot of the spin machine.

Now, we are told that each slot has 4 possibilities which are a cherry, a lemon, a star, or a bar when spun.

Thus, from mn rule in probability, the total number of simple events in the sample space is = 4³ = 64

Answer:

9

Step-by-step explanation:

The mean squared error (MSE)of a set of observations can be calculated using the formula :

(1/n)Σ(Actual values - predicted values)^2

Where n = number of observations

Steps :

Error values of each observation (difference between actual and predicted values) is squared.

Step 2:

The squared values are summed

Step 3:

The summation is the divided by the number of observations

The difference between the actual and predicted values is known as the ERROR.

(1/n)Σ(ERROR)^2

n = 3

Error = +3, +3, - 3

MSE = (1/3)Σ[(3)^2 + (3)^2 + (-3)^2]

MSE = (1/3) × [9 + 9 + 9]

MSE = (1/3) × 27

MSE = 9

Answer:

Step-by-step explanation:

[tex] \mathsf{(x - 2)(x - 3)}[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

[tex] \mathsf{x×x - 3x - 2x - 2 × ( - 3 )}[/tex]

Calculate the product

[tex] \mathsf{ {x}^{2} - 3x - 2x - 2 \times (- 3)}[/tex]

Multiply the numbers

[tex] \mathsf{ {x}^{2} - 3x - 2x + 6 }[/tex]

Collect like terms

[tex] \mathsf{ {x}^{2} - 5x + 6}[/tex]

Hope I helped!

Best regards!

Answer:

f(0) = 7

Step-by-step explanation:

f(x) = -3x + 7

Let x =0

f(0) = -3*0 + 7

f(0) = 7

Answer:

6h + 12 = 30

Step-by-step explanation:

Hence, the equation obtained for number of hours worked is given as  12 + 6h = 30.

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The total money required is given as $30.

Suppose the number of hours for babysitting be h.

Then, the money earned by doing it is $6h.

And, the total money with Karl is 12 + 6h.

As per the question, the following equations can be written as,

12 + 6h = 30

Hence, the equation for finding the number of hours is given as 12 + 6h = 30.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

Answer:

The answer is A 15,840, because 5,280 x 3 is equivalent to A

Answer:

A. x = 15,840 feet.

Step-by-step explanation:

[tex]\frac{5280 feet}{1 mile} =\frac{x feet}{3 miles}[/tex]

[tex]\frac{5280}{1} =\frac{x}{3}[/tex]

1 * x = 5,280 * 3

x = 15,840 feet

So, your answer is A. x = 15,840 feet.

Hope this helps!

Answer:

(x+3)^2=-4(y-3)

Step-by-step explanation:

(x-h)^2 = 4p(y-k)

P is the distance between the focus and vertex

P = 1 --> used distance formula for the points of -3,2 -3,3

Vertex is -3,3 --> according to picture

(x+3)^2=-4(y-3)

P is negative since it goes downwards in the picture.

Answer:

$5

Step-by-step explanation:

Let the notebook cost x, then Mark spent:

Notebook costs $5

Answer:

If we have an integer number N, the opposite of N will be:

-1*N = -N.

Then, the opposite of 0°C is:

-1*0°C = 0°C.

The number 0 is it's own opposite.

And for 32F, the opposite is:

-1*32F = -32F

So, while the numbers 0°C and 32F physically represent the same thing (the same temperature), mathematically, they behave differently.

Answer:

4.464 ml

Step-by-step explanation:

Given that:

mean (μ) = 5 mm, standard deviation (σ) = 0.4 ml

The z score is a score in statistics used to determine by how many standard deviation the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if the z score is negative then the raw score is below the mean It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

From the normal distribution table, the 9th percentile (0.09) corresponds to a z score of -1.34

[tex]z=\frac{x-\mu}{\sigma}\\\\-1.34=\frac{x-5}{0.4}\\\\x-5=-0.536\\\\x=5-0.536\\\\x=4.464[/tex]

The dye amount that represents the 9th percentile of the distribution is 4.464 ml

Answer: 247.92 euros

Step-by-step explanation:

Given, Varia is required pay $3,500 (in US dollars) per year to the university.

If she must pay in euros , then we convert $3,500 into euros.

Current rate : 1 US dollar = 0.85 euro

Then,  $3,500 = ( 0.85 x 3500) euros

= 2975 euros

She can expect 2975 euros to pay per year.

Also, [tex]2975\div 12\approx247.92[/tex]   [ 1 years = 12 months]

Hence, She can expect 247.92 euros to pay per month to the university.

Answer:

There is a typo near the equal sign.

There can be two different answers if we think that = sign as + or -.

First way: Making = as +

=> 10 - [14 + (3+4) x 2] +3

=> 10 - [14 + 7 x 2] + 3

=> 10 - [14 + 14] + 3

=> 10 - 28 + 3

=> 10 + 3 - 28

=> 13 - 28

=> -15

=> So, -15 is the answer if we consider "=" sign as "+" sign.

Second way: Making = as -

=> 10 - [14 - (3+4) x 2] + 3

=> 10 - [14 - 7 x 2] + 3

=> 10 - [14 - 14] + 3

=> 10 - 0 + 3

=> 10 + 3

=> 13

=> So, 13 is the answer if we consider "=" sign as "-" sign.