which two expressions are equivalent?

a) x+x+x and x³

b) 14x + 10 - 2x and 16x + 10

c) 12x + 16x and 4(3x+4x)

d) 12x² + 5x + 10 and 17x² + 10

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It is true if two vectors point in opposite directions. This means their cross product must be zero.

Cross product is a vector product of two vectors in the three dimensional vector space.

In the case when the two vectors point in opposite directions so there cross product should be zero.

Impact on two points:

In the case when the two vectors point in opposite directions so there cross product should be zero.

Like

A*B = [A][B] sin

Here theta is be the angle that lies between them

So,

A*B = [A][B] sin 180

So, A*B = 0

hence, the given statement is true.

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Answer:

- 1/2

Step-by-step explanation:

Slope, m  , is the sama as 'gradient'....

 if slope of one line is m, the perpindicular is -1/m

2      then perpindicular = - 1/2

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-1/2

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If lines are perpendicular to each other , their gradients are opposite reciprocals of each other .

In order to find the opposite reciprocal of a number , we should change it's sign and turn it over as follows :

2 --> -2 --> [tex]-\displaystyle\frac{1}{2}[/tex]

So the gradient of the line perpendicular to the line with a gradient of 2 is -1/2.

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Answer:

She needs 168 more cels to draw to complete the film sequence

Step-by-step explanation:

120 Cells in 5 seconds

You want 12 seconds.

Ratio (Proportion)

120:5

Lets find the "unit rate" of the proportion.

120/5 = 24

So the unit ratio is 24:1

Now, we can deduce to it being:

120:5

240:10

264:11

288:12

She has 120 done.

So, 288-120 = 168.

She needs 168 more cels to draw to complete the film sequence

Answer:

6,812,019 ft cubed

Step-by-step explanation:

1/3(b*h)

1/3(153^2*873)

1/3(23,409*873)

1/3(20,436,057) = 6,812,019

The perimeter of the polygon, which is a trapezoid with the given parameters, is: A. 25 cm.

To find the perimeter of a polygon, sum all the length of the sides of the polygon.

Given the sides of the trapezoid as 8 cm, 5 cm, and two sides of 6 cm each

Perimeter = 8 + 5 + 6 + 6

Perimeter = 25 cm.

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Answer:

1558

Step-by-step explanation:

1/2(63) = radius = 31.5 /// pi(31.5)^2 = 3115.665 /// 3115.665/ 2 = the area of the semi circle is 1558.

Answer: 1413

Step-by-step explanation:

Answer: A large mean difference and small sample variances ​

Step-by-step explanation:

Effect size (η) is a statistical measure that determines the strength of the association (numerically) between two variables.  For example, if we have data on the weight of male and female candidates and we realize that, on average, males are heavier than females, the difference between the weight of males and the weight of female candidates is known as the effect size.

The larger the effect size, the larger the weight difference between males and females will be.  

Statistic effect size helps us in analyzing if the difference is factual or if it is affected by a change of factors.  

In hypothesis testing, effect size, power, sample size, and critical significance level are related to each other.

The effect size formula for a hypothesis test of mean difference is:

η = [tex]\frac{x1-x2}{\sqrt[]{8^2} }[/tex]

The denominator s² is the combined sample variance.

[tex]8^2 =[/tex] ⊕

The effect size is affected by two components:

Sample mean difference

Sample variance.

As the sample mean difference is directly proportional to the effect size, on increasing the sample mean difference value the effect size will also increase.

Ans the sample variance is inversely proportional to the the effect size, on decreasing the sample variance value the effect size will increase and vice-versa.

Thus, the correct option is A large mean difference and small sample variances

Answer:

D. 70 and 71

Step-by-step explanation:

It is an acute angle which is less than 90°

Answer:

C

Step-by-step explanation:

Answer:

C

Breh its right their!

Answer:

78

Step-by-step explanation:

You add 115 and 167 which will give you 282.

Subtract 282 from 360, which will equal 78.

Answer:

$12000

Step-by-step explanation:

P=CRT

C=cost

R=rate

T=time

P=3000 x 8 x 50/100= $12000

The congruency statements that are true about the congruent triangles are: ∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR.

Congruent triangles are triangles whose corresponding parts (angles and sides) are congruent to each other.

So, if △JMN ≅ △KQR, it means the corresponding angles and sides of both triangles are congruent.

Therefore, the true congruency statements are:

∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR

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Answer: D

Step-by-step explanation:

This is just definition.

Answer: A

Step-by-step explanation:

Only the first scatterplot has the first data point correctly plotted.

Using the formula for the closest integer, it is found that Alejandro is not correct, as the integer is of 48 and not 52.

The integer that has square root n is given by:

S(n) = n².

Hence the integer that has a square root closest to n is given by:

C(n) = n² - 1.

In this problem, we want the square root closest to n = 7, hence:

C(7) = 7² - 1 = 48.

Which is a different value than 52, hence Alejandro is not correct.

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Answer:

X=4

Step-by-step explanation:

Answer:

Both words are used to talk about how long the boundary is of a 2D figure.  Think of circumference as a special case of finding the perimeter.  The term circumference refers to the perimeter of a figure without sides or something like a circle or arc.

So if we were to look at a rectangle and try to determine how long the boundary is we would use perimeter.  On the other hand, if we have a circle we have no way to track how long each side is therefore we use circumference.

Perimeter is a wide term which means the total length of the surrounding (lines ) of the 2D figure.

circumference is the special case of the perimeter in which perimeter of Arc or circular lines are taken in count .

The f(x) is shifted 4 units up to g(x) is the correct choice because f(x) is up 4 units from the g(x) option (D) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = cosx

The above function is a parent function.

Transformed function:

f(x) = cosx - 4

As we can see in the graph of, g(x) is shifted 4 units down from the function f(x).

Thus, the f(x) is shifted 4 units up to g(x) is the correct choice because f(x) is up 4 units from the g(x) option (D) is correct.

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Answer: f(x) is shifted 4 units down to g(x)

Step-by-step explanation:

Answer:

area=72

Step-by-step explanation:

A=bh=12·6=72

Answer:

Wong was conducting a field study in the Amazon rainforest when he

discovered a prokaryotic organism that has a cell wall and circular

chromosomes. Which of the

Answer:

Answer:

Parallel" means same slope. Our line is y=3x-4 has slope m=3. So, our new line should also have slope m=3; we can immediately eliminated choices C and D.

Step-by-step explanation:

We can write our line y = 3x+b, and we can use the point given (3,2) to solve for b.

2 = 3*3 + b

b = -7

The required line is y = 3x - 7, choice B.

Compare to slope intercept form

parallel lines have equal slope

Equation in point slope form

Option B

Answer:

55.866 ft

Step-by-step explanation:

Use Pythagorean Theorem:

a² + b² = c²

(39)² + (40)² = c²

3121 = c²

Square root of both sides

c = 55.866 ft should be the answer.

Hope this helps

The value of x when the line segment st is dilated to create line s't' about point q is 2.5 units

The given parameters are:

qs = 2

qt = 1.2

tt' = 1.5

ss' = x

To calculate the value of x, we make use of the following equivalent ratio

ss' : qs = tt' : qt

So, we have:

x : 2 = 1.5 : 1.2

Express as fractions

x/2 = 1.5/1.2

Multiply both sides by 2

x = 2 * 1.5/1.2

Evaluate the product

x = 2.5

Hence, the value of x is 2.5 units

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Answer:

2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let S be the surface area of the prism

     B be the area the base (right-angered triangle)

     L be the lateral surface area

Formula :

S = 2×B + L

……………………

[tex]B=\frac{12\times 9}{2} = 54[/tex]

[tex]\text{Length \ of \ the \ third \ side}=\sqrt{12^{2}+9^{2}} =15[/tex]

L = 5×(9 + 12 + 15) = 180

S = 2×B + L

S = 2×54+180 = 288 in²

Answer:

64

Step-by-step explanation:

4*2=8*8=64
ur welcome
64 cm3

The total length of the paths will be 12.6 yards. Then the correct option is G.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

A city park is in the shape parallelogram as shown.

Two paths will be installed along the diagonals.

Then the total length of the paths will be

Total length = 2 (3.5 + 2.8)

Total length = 2 (6.3)

Total length = 12.6 yards

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Answer:

............................

Step-by-step explanation:

Answer:

im  helping

Step-by-step explanation:

I clicked on this..?