Which one is a function?

If alpha is greater than 90 degrees but beta and gamma are less than 90 degrees, the vector resides in the second octant.


The octant is a three-dimensional coordinate system that is divided into eight parts. Each octant contains vectors with different signs of x, y, and z coordinates. In this scenario, since alpha is greater than 90 degrees, it means that the vector extends from the negative x-axis. Also, beta and gamma are less than 90 degrees, so the vector is pointing upwards in the y and z directions. Therefore, the vector is in the second octant, which includes all vectors with a positive y-coordinate and a negative x and z-coordinate.


If the values of alpha, beta, and gamma are known, it is possible to locate a vector in the octant system. The second octant is defined as a space where the x-coordinate is negative, the y-coordinate is positive, and the z-coordinate is negative.

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Answer:

Blue

Green

White

Transparent

Yellow

Answer:

63

Step-by-step explanation:

Answer:  

The answer to 441 divided by 7 calculated using Long Division is:

63

0 Remainder

Step-by-step explanation:

Always choose the alpha level as 0.05.

The given statement;

When conducting a significance test in practice, how should you choose the alpha( α ) level,

→ When the repercussions of incorrectly rejecting the null hypothesis are more severe, use a greater alpha. Since it's the most appropriate in every case, choose alpha ( α ) = 0.05 always. When the repercussions of incorrectly rejecting the null hypothesis are more severe, use a smaller alpha.

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Answer:

B) Exactly one solution

Step-by-step explanation:

since both equations are linear, this must mean the system can only have 1 solution, where the lines can only intercept once with ech other.

The arc length of the curve x =\(y^4/4 + 1/8y^2\), for 1 <= y <= 5, is approximately 33.93 units.

To find the arc length of the curve, we use the formula for arc length integration. Given the equation x = \(y^4/4 + 1/8y^2\) and the interval 1 <= y <= 5, we want to determine the length of the curve within this range.

First, we differentiate the equation with respect to y to obtain dx/dy. In this case, dx/dy = \(y^3 + 1/4y\). Then, we use the formula for arc length:

L = ∫[a,b] \(\sqrt{(1 + (dx/dy)^2)}\) dy

Plugging in the values from the given interval, a = 1 and b = 5, we integrate the expression \(\sqrt{(1 + (y^3 + 1/4y)^2)}\) with respect to y. Evaluating this integral gives us the arc length of the curve within the specified interval, which is approximately 33.93 units.

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When constructing a histogram, the horizontal (x) axis represents the range of values of the variable being measured or observed, while the vertical (y) axis represents the frequency or count of observations falling within each interval or bin.

More specifically, the x-axis usually represents the range of possible values of the variable being measured or observed, divided into a series of intervals or bins. Each bin represents a range of values that fall within a certain interval or category. The width of the bins should be chosen carefully to ensure that the data is displayed clearly and accurately.

The y-axis represents the frequency or count of observations that fall within each bin. This can be represented as either the number of observations that fall within each bin or as a percentage of the total number of observations. The y-axis should also be chosen carefully to ensure that the data is displayed clearly and accurately.

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Answer:

I believe 72

Step-by-step explanation:

Answer:

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum = (12 -2) * 180

Sum of the interior angles = 1,800 degrees

Source:  http://www.1728.org/polygon.htm

Step-by-step explanation:

The probability that at least one of Jack or Rose can solve the math problem, given that Jack solves it with probability 0.4 and Rose solves it with probability 0.5 is 0.7.

To solve this, we can use the formula: P(at least one solves) = 1 - P(neither solves).

1. Find the probability of neither solving the problem:
P(Jack doesn't solve) = 1 - 0.4 = 0.6
P(Rose doesn't solve) = 1 - 0.5 = 0.5
P(neither solves) = 0.6 * 0.5 = 0.3

2. Calculate the probability that at least one of them solves the problem:
P(at least one solves) = 1 - P(neither solves) = 1 - 0.3 = 0.7

The probability that at least one of them can solve the problem is 0.7.

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Answer:

Let's solve your equation step-by-step.

p+8=14.1

Step 1: Subtract 8 from both sides.

p+8−8=14.1−8

p=6.1

Answer:p=6.1

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Answer:

315 Children

Step-by-step explanation:

a+c=330

21a=c

Substitute the c's

a+(21a)=330

22a=330

Divide by 22 on each side

a=15

15 Adults

Now put "a" back into one of the equations.

21(15)=c

315=c

So 315 children and 15 adults.

9(x + 2)

Hi !

6(x+4)+3(x−2) =

= 6x + 24 + 3x - 6

= 6x + 3x + 24 - 6

= 9x + 18

= 9(x + 2)

Good luck !

The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

According to statement

In location A the chance that two people have four repeats is  1 in 100.

In location B the chance that two people have eight repeats is  1 in 50.

In location C the chance that two people have three repeats is  1 in 200.

So, to find the probability that two people would have matching DNA fingerprints for these three locations

Multiply the all chances in these locations:

1/100 x 1/50 x 1/200 = 1/1,000,000    

So, The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

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Answer:

30-5ab-14+6ab

16-ab ans

Answer:

\( \boxed{ab + 16} \)

Step-by-step explanation:

5 (6 – ab) + 2 (-7 + 3ab)

[distribution property]

(6)(5) – (ab)(5) + (-7)(2) + (3ab)(2)

30 – 5ab – 14 + 6ab

[group like terms]

(6ab – 5ab) + (30 – 14)

ab + 16

Answer:

You cannot put this in an input output chart because one value of x has 2 y values.

Step-by-step explanation:

Answer:

p = 15

Step-by-step explanation:

Step 1: Original Expression

\(\frac{p - 9}{3} = 2\\\)

Step 2: Multiply both sides by 3 to remove the denominator

\(p - 9 = 6\)

Step 3: Add 9 to both sides to isolate the variable

p = 15

33.2 miles per gallon is the unit rate for miles per gallon.

Given, Grace drove 41 1/2 miles.

She used 1 1/4 gallons of gasoline.

So, Grace drove 41 1/2 miles = Grace used 1 1/4 gallons of gasoline

41(1/2) miles = 1(1/4) gallons of gasoline

83/2 miles = 5/4 gallons of gasoline

as, 5/4 gallons of gasoline = 83/2 miles

1 gallon of gasoline = (4/5)×(83/2)

1 gallon of gasoline = (2/5)×83

1 gallon of gasoline = 166/5

1 gallon of gasoline = 33.2 miles

33.2 miles/gallon is the unit rate.

Hence, 33.2 miles per gallon is the unit rate for miles per gallon.

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According to the information, it will take 2.75 seconds for the T-shirt to reach its maximum height. The maximum height of the T-shirt is 107.375 feet above the field.

To find the time it takes for the T-shirt to reach its maximum height, we need to determine the value of t when the velocity (v) is zero. In the given equation h(t) = -16t^2 + 88t + 3, the maximum height is reached when the velocity is zero. We can find the time by taking the derivative of the equation and setting it equal to zero:

So, it will take 2.75 seconds for the T-shirt to reach its maximum height.

To find the maximum height, we substitute the value of t back into the equation:

h(2.75) = -16(2.75)^2 + 88(2.75) + 3

h(2.75) = 107.375 feet

According to the above, the maximum height of the T-shirt is 107.375 feet above the field.

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Answer:

a=4

Step-by-step explanation:

Add like terms. You get 7a-6=3a+10. Subtract 3a from 7a and get 4a. Add 6 to both sides and get 16. After this, divide by 4.

Answer:

a=4

Step-by-step explanation:

Equation: 2a-6+5a=3a+10

Combine like terms:

2a+5a-3a=4a

4a-6=10

4a=10+6

solve. /algebra

4a=16

a=4!

Cheers!

The given inequality is

First, we need to isolate y

To do that we want to move 2y from the right side to the left side, then

To do that subtract 2y from 3y and subtract 2y from (2y + 3)

Since 3y - 2y = 1y

Since 2y - 2y = 0

Since 0 + 3 = 3

Then the answer is

The answer is B

Answer:

Step-by-step explanation:

First do 4 -2 to get 2. Then do 30-15 to get 15. It’s 2:15.

You can also do this on a calculator by doing 4.15-2.30. You get 1.85

Remember that time is only up to 60 So you have to subtract 15 from 85 to get 60. So it’s 2 hours and 15 minutes. Hope this helps!

Answer:

21:1

Step-by-step explanation:

84 / 4=21

21

The value of the home after 21 years is 200,000(1.035)^21=411,886.29

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that four siblings Brandon, Brooke, Trent, and Trisha owe their parents $100.

The number sentence that will show how much each sibling owes if they share the debt equally will be:

= $100 ÷ 4

= $25

This mean that each child owes $25

Answer:

B. Negative

Step-by-step explanation:

A slope of zero would cause the red line (the slope) to be horizontal/sideways

A negative slope goes down

A positive slope goes up

An undefined slope is vertical/up and down

Hope this helps!

Answer:

Hi there!

The answer is:

B. Negative

Step-by-step explanation:

Slopes that increase to the left and decrease to the right are negative! Think about is as rise/run (which determines slope). It rises 4 for every -2 units (or units to the left!)

Hope this makes sense!

If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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Answer: 4 and 39/100 is the most farthest in can go in simplest form.

Answer:

It would be 4 39/100.