The double bar graph shows how long, on average, different
animals live both in the wild and in captivity.
Which animal's life span in captivity has the least difference from
its life span in the wild?
ears

Answer:

p = (2k + 1)i + j

q = 25i + (k + 4)j

p . q = 11

Find the dot product of p and q

(2k + 1)(25) + (k + 4) = 11

50k + 25 + k + 4 = 11

51k = -18

k = - 18/51 = –6/17.✅

b) p.q = |p||q|cos∅

p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j

|p| = √ (5/17)² + 1²

|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424

q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j

q = 25i + 62/17 j

|q| = √ 25² + (62/17)²

= 25.2646

Now applying them to the formula above

We already have p.q = 11 from the question.

11 = (1.0424)(25.2646)Cos∅

11 = 26.3358Cos∅

Cos∅ = 11/26.3358

Cos∅ = 0.4177

∅ = 65.31°.

This should be it.

Hope it helps

Answer:

Step-by-step explanation:

The correct function that represents this data is option A. f(x) = -5x - 2.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given are three functions in the option.

We have a set of points on the table.

We have to find which function is representing the table.

Input values are the x values and the output values are the y values.

From the table, the y value corresponding to the x value of 0 is -2.

Substitute in each of the function.

A. f(x) = -5x - 2

         = 0 - 2

         = -2

B. f(x) = -5x + 7

          = 0 + 7

          = 7

C. f(x) = -5x + 2

         = 0 + 2

         = 2

The function in A is the only function which got the value as -2 when x = 0.

Hence the function is represented in option A. f(x) = -5x - 2.

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Answer:

a horizontal translation 3 units to the right because-3 has been added to the exponent

Answer:

Step-by-step explanation:

Answer:

Answer:x>73.5

-

Inequality: 6x + 313> 754

-

Step-by-step explanation:

The number of sets of spoons Mila could buy for the restaurant to have enough spoons:

x ≥ 74

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Let x be the number of sets of spoons Mila buys. Each set contains 6 spoons, so the total number of spoons Mila will buy is 6x.

The restaurant needs at least 754 spoons, and there are currently 313 spoons, so the total number of spoons needed is:

754 - 313 = 441

we can write the inequality:

6x ≥ 441

To solve for x, we can divide both sides of the inequality by 6:

x ≥ 73.5

x ≥ 74

Therefore, Mila needs to buy at least 74 sets of spoons to ensure that the restaurant has enough spoons.

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Answer:

Cant do this problem since there is no x variable. So the answer would be :

f(x) = -22+2

Step-by-step explanation:

Answer:

You didn't put the question well but if I am right, the question is asking of g(x) if f(x) is 2x.

then g(x)=2x+2

Answer:

9000

Step-by-step explanation:

(x/2)-(x/3) = 1500

(x/6)=1500

x= 9000

Answer:

10⁸

Step-by-step explanation:

[tex]( \frac{10 ^{5} }{ {10}^{3} } ) ^{4} \\ (10 ^{5 - 3} ) ^{4} \\ (10 ^{2} )^{4} \\ (10 ^{2 \times 4} ) \\ (10^{8} )[/tex]

I hope it helped U

stay safe stay happy

because the expression is raised to a power, you're going to multiply the power inside the expression with the power outside the expression. Thus:

[tex] \frac{10 ^{20} }{10^{12} } [/tex]

Since the powers are being divided, you can just subtract 20 by 12. Then you would get:

[tex]10^{8} [/tex]

Answer:

3/10

Step-by-step explanation:

Difference = Red - blue

red = 9/10

blue = 3/5 = 6/10       multiply top and bottom by 2

Difference = 9/10 - 6/10 = 3/10

Answer:

For each point on the curve given, make a new point that has the same x value but double the y value.

Step-by-step explanation:

Pick several points on the graph given. the easiest points to pick would be (-2, 0), (0, 2) and (2, 0). That's the point on the far left, the point on the top of the curve in the middle, and the point on the far right. For each of these points, make a new point that's twice as high but has the same position left/right. For the far left point and the far right point, the new point will be the same as the old point because the height is zero and double zero is still zero. For the point in the middle the new height will be four since the old height was just two. Then draw a nice curve through those points and you will have the answer. It will be a mound that's twice as tall as the current mound but the same width.

Answer:

2

Step-by-step explanation:

Answer:

x = - 1, x = 2

Step-by-step explanation:

Given

x + (x + 1) + (x + 2) = (x + 1)² ← expand using FOIL , then

x + x + 1 + x + 2 = x² + 2x + 1 , that is

3x + 3 = x² + 2x + 1 ( subtract 3x + 3 from both sides )

0 = x² - x - 2 ← in standard form

0 = (x - 2)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 2 = 0 ⇒ x = 2

Answer:

x=6

AC = 28

Step-by-step explanation:

4x+4= AC

4x +4 = 14 + 3x -4

4x-3x= 14-4-4

x = 6

AC = 4(6) +4 = 24+4 = 28

Answer:

B

Step-by-step explanation:

To go from B' to B , perform the inverse operation

That is the translation rule is (x - 4, y - 5 ) , then

B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B

Answer:

Write in the box :....

30

Answer:

.zie8fieiosowdue7fieid92iqopq o ofoo pdoc

Answer:

4/5 ....

Step-by-step explanation:

N/1 = N

so... um...

4/5 = N/1

4/5 = N

N = 4/5

Answer:

N = 0.8

Step-by-step explanation:

4/5 = N/1

0.8/1 = N/1

0.8 = N

Answer:

L = 2W - 3

Step-by-step explanation:

If the length L of a rectangle is 3 less than twice the width W, then

L = 2W - 3

The expression for the length L of a rectangle is L = 2W - 3.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

The length L of a rectangle is 3 less than twice the width W can be expressed as:

L = 2W - 3

Therefore,

The length of the rectangle can be found by taking twice the width and subtracting 3 from the result.

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Answer:

your right it is a rational number

Answer:

Two numbers that have a mean of 10 and a range of 4 are the numbers 12 and 8.

Hope this helps!

Answer:

12 and 8 it is easy and i rlly hope it helps

Answer:

14 items

Step-by-step explanation:

20 seconds minus the six it takes to process purchase is 14 and if i takes 1 second to scan each item 14 times 1 is 14

Answer:

14

Step-by-step explanation:

to process payment = 6 sec

each item = 1 sec

total = 20 sec

From this information, we can formulate an equation where x = number of items being purchased.

[tex]6+1(x) = 20[/tex]

[tex]x=20-6\\x=14[/tex]

Answer:

The number is 0 or 100

Step-by-step explanation:

Let the number be x.

ATQ, x^3=100x^2, x^2(x-100)=0, x=0, 100

Answer:

Step-by-step explanation:

Answer:

[tex]x_{M}[/tex] = - 1

Step-by-step explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints , that is

[tex]x_{M}[/tex] = [tex]\frac{4-6}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

Answer:

un

Step-by-step explanation:

Answer:

(13, 5 )

Step-by-step explanation:

The translation

(x, y ) → (x + 3, y - 4)

Means add 3 to the x- coordinate and subtract 4 from the y- coordinate, so

(10, 9 ) → (10 + 3, 9 - 4 ) → (13, 5 )