Let a, b, c be vectors with the same initial point, and whose terminal endpoints

do not lie along a line. Show that

v := (a ×b) + (b ×c) + (c ×a)

is parallel to a normal direction vector to the plane P containing the terminal endpoints of a,b, c

Answer: 6

Step-by-step explanation: .

Answer:

x=12.92

cube root of 9 Is 2.08 so you minus 15-2.08=12.92

In 25200 ways a committee of three men and four women be formed from a group of 10 men and 10 women.

What is combination?

Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.

Given: There is a group of 10 men and 10 women's.

We have to find the committee of three men and four women from this group of 10 men and 10 women's.

Therefore, the number of ways are,

= \((10_C_3)(10_C_4)\)

\(= (\frac{10!}{3!(10-3)!})(\frac{10!}{4!(10-4)!} \\ = (\frac{10!}{3!7!}) (\frac{10!}{4!6!}) \\= (120)(210)\\= 25200\)

Therefore, there are 25200 number of ways a committee of three men and four women be formed from a group of 10 men and 10 women.

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The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

R = (f(b) - f(a))/(b - a)

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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Answer:

The answer is X=15

Answer:

The value belonging to the green box is b

Step-by-step explanation:

QP uses the points Q and P

Q is (0,-a)

P is (b,-c)

The distance between the two points can be calculated using the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (0,-a)

(x2,y2) = (b,-c)

D = √(b-0)^2 + (-c + a)^2

D = √(b)^2 + (-c + a)^2

Let's say that the store starts with a coupon value of x.  On the first day, the probability of  drawing the pink tag is 1/n, where n is the total number of tags in the box.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain. Probabilities can be expressed as fractions, decimals, or percentages.

A Coupon refers to a discount or a voucher that can be redeemed for a specified value or product at a store or business.

If the tag is not drawn, the probability of drawing it on the second day is 1/(n-1), since there is one less tag in the box. If the tag is not drawn on the second day, the probability of drawing it on the third day is 1/(n-2), and so on.

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Answer:

Step-by-step explanation:

substitute p for 8, because p=8

question 1 :    8+4=12    ----Yes

question 2: 8x8 =64-------Yes

question 3  5x8=35, not 8----No

question 4 2+8=10, not 12----No

Answer:

n=1/2 after being simplified

Step-by-step explanation:

Use Division Distributive Property:

9^n-1=1/3^4n-1 then convert both sides to the same base

3^2(n-1) = 3^-(4n-1)

cancel the base of 3 on both sides

2(n-1) = -4n+1

then expand 2n-2=-4n+1

add 2 to both sides 2n=4n+1+2

simplify: -4n+1+2 to -4n+3

2n=-4n+3

add 4n to both sides: 2n+4n=3

simplify: 2n+4n to 6n

6n=3

divide both sides by 6

n=3/6

simplify and n=1/2

Answer:

A. ( -7, -3) and ( 7, -3)

Step-by-step explanation:

I looked at the picture and I know it is because I already learned this

Part (a)

The horizontal part of the rectangle goes from m = -1 to n = 4. This is a distance of 5 units because |m-n| = |-1-4| = 5

The height is some unknown variable h

It must multiply with the base (5) to get an area of 1

base*height = area

5h = 1

h = 1/5

h = 0.2

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

Part (b)

x = dismissal time minutes after class

Something like x = 2 means he dismisses class 2 minutes after the bell, while x = -1 is him dismissing class 1 minute early before the bell.

The phrasing "within 1 minute" means that x is between p = -1 and q = 1. So we can say \(-1 \le x \le 1\)

This is a span of 2 units because |p-q| = |-1-1| = 2. Divide this over the entire horizontal span: 2/5 = 0.4

Exactly 40% of the time the teacher lets his class out within one minute of the scheduled end time.

Answer:

26.5 miles.

Step-by-step explanation:

Given: Time for running Boston Marathon= 2.12 h

Speed= 12.5 mph

Distance covered in Boston Marathon  

Distance covered= speed x time  

Distance covered = 12.5 x 2.12=26.5 miles  

∴ Distance covered in the Boston Marathon is 26.5 miles.

Answer:

26.5

Step-by-step explanation:

You have two numbers. Do you think you should  add, multiply, substract, or divide..?

Multiply, 2.12 x 12.5 on paper or a calculator and you will get 26.5.

Answer:

i think its 1/16

Step-by-step explanation:

Answer:

900

Hopes this helps :)

862 rounded off the nearest hundred is 900

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

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Answer:

Step-by-step explanation:

Answer:

(4m - 1) × (2n + n)

Step-by-step explanation:

8m - 2 + 4mn - n

2(4m - 1) + 4mn - n

2(4m - 1) + n × (4m - 1)

= (4m - 1) × (2n + n)

The answer is (4m - 1) × (2n + n)

The simplest way of factorizing is:

Factorise: 8m-2+4mn-n

⇒ 8m - 2 + 4mn - n

⇒ 2(4m - 1) + 4mn - n

⇒ 2(4m - 1) + n × (4m - 1)

⇒ (4m - 1) × (2n + n)

Factorising is a way of writing an expression as a product of its factors using brackets.

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Answer:

Hey there!

\((2x-1)(x-3)\)

\(2x^2-1x-6x+3\)

\(2x^2-7x+3\)

Hope this helps :)

Answer:

see below

Step-by-step explanation:

the simple answer is a if you need an explanation just comment

Answer:

Binomial polynomial means that no negetive power on the no

(1) y² + √2 is correct answer

Answer:

AB = √(2^2 + 5^2) = √(4 + 25) = √29 = 5.4

Answer:

mass of mangos = 300g

mass of apples = 200g

mass of pears = 150g

Step-by-step explanation:

lets first reduce the ratio

12:8:6

is the same as

6:4:3

this means the the denominator of our fractions will be 6 + 4 + 3 = 13

hence

mangos = 6/13 of 650g

6/13 * 650 = 300

apples = 4/13 of 650g

4/13 * 650 = 200

pears = 3/13 of 650g

3/13 * 650 = 150

Answer:

I can't see the fourth option, but the answer would be C.

Step-by-step explanation:

It's the only graph that fits the question.

ANSWER:

y-6= -9 x (x-2)

Step-by-step explanation:

hope this helps!!! please mark me brainliest!

The critical value for a two-tailed test at α = 0.02 is approximately ±2.576.

To test the claim, we can use a hypothesis test. Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The percentage of female students at the college who use some form of birth control is equal to 63.5%.

Alternative hypothesis (H1): The percentage of female students at the college who use some form of birth control is not equal to 63.5%.

Let p represent the true proportion of female students at the college who use some form of birth control.

Based on the information given, we have the following data:

Sample size (n) = 120

Number of students who use some form of birth control (x) = 81

We can use the sample proportion (p-hat) to estimate the true proportion (p):

p-hat = x/n = 81/120 ≈ 0.675

To perform the hypothesis test, we can use a z-test since we have a large sample size. We can calculate the test statistic using the formula:

z = (p-hat - p) / √(p×(1-p)/n)

where sqrt denotes the square root.

Substituting the values:

z = (0.675 - 0.635) / √(0.635×(1-0.635)/120)

≈ 0.04 / 0.0406

≈ 0.983

To find the critical value at α = 0.02, we can use a standard normal distribution table or a calculator. The critical value for a two-tailed test at α = 0.02 is approximately ±2.576.

Since |0.983| < 2.576, we fail to reject the null hypothesis.

Therefore, based on the given sample data, there is not enough evidence to conclude that the percentage of female students at the college who use some form of birth control is different from 63.5% at a significance level of α = 0.02.

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To solve this Cyberchallenge, you will need to use browser dev tools and curl web requests.

Here are the steps to do it:
1. Open the browser dev tools by pressing F12 on your keyboard or right-clicking on the page and selecting "Inspect Element".
2. Go to the "Network" tab in the dev tools.
3. Start a curl web request by typing "curl" followed by the URL of the security gateway in the command line.
4. Add the "-v" option to the curl command to see the headers and response body of the request.
5. Look for the question asked by the gateway in the response body.
6. Use a calculator to quickly calculate the answer to the question.
7. Add the "-d" option to the curl command followed by the answer to the question to send the answer as a POST request.
8. Look for the flag in the response body of the POST request.
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Answer:

Rs 1,437.5

Step-by-step explanation:

VAT = 15% = 15/100 × Rs 1250 = Rs 187.5

the price inclusive of VAT = Rs 1,250 + Rs 187.5

= Rs 1,437.5

Answer:

Step-by-step explanation:

1

Answer:

1
Explanation:
Only one line can be drawn through any two different points.

Answer:

0.65 third option

Step-by-step explanation:

95×0.65= $61.75

Answer:

first photo

Step-by-step explanation:

We have three marbles R, Y, B, and two options on a spinner (1,2), so when we grab a marble and spin the spinner we only have the possibility of color, and either the number 1 or 2. So it has to be R1/R2, Y1/Y2, and B1/B2.

Answer:

#1 would be Right and #2 would be left

Step-by-step explanation:

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