Marine biologist studies the population of seals in research area. how many Seals are in the research area?​

Answer:

Step-by-step explanation:

Use table for f(x) related questions and equation for g(x) related questions and both for the last one.

Answer: Look at step by step

Step-by-step explanation:

(ax + b)(ax + b) = [tex]a^{2}[/tex] [tex]x^{2}[/tex]+ 2abx + [tex]b^{2}[/tex]

Substitute g into x

[tex]a^{2}[/tex] = 7

a = [tex]\sqrt{7}[/tex]

2ab = -3

b = -3 / (2 x [tex]\sqrt{7}[/tex])

[tex]b^{2}[/tex] = 9 / (4 x 7) = 9/28

So the term to be added to make a perfect square is 9/28

When factorized would get ([tex]\sqrt{7}[/tex]x - 3/2[tex]\sqrt{7}[/tex])([tex]\sqrt{7}[/tex]x - 3/2[tex]\sqrt{7}[/tex])

If this doesn't help, maybe it is best you ask your teacher instead of listening to a random person on the internet. Hope this helps though

The division of (4+5i) / (2-4i) is performed by multiplying the numerator and denominator by 2+4i and the result of the given expression is (-3/5) + (13/10) i

The given expression is

(4+5i) / (2-4i)

Here we have to divide the given complex number

First multiply both numerator and denominator by 2+4i

(4+5i) / (2-4i) × (2+4i) / (2+4i)

= [tex]\frac{(4+5i)(2+4i)}{(2-4i)(2+4i)}[/tex]

Multiply the terms in the numerator and denominator.

= [tex]\frac{8+16i+10i-20}{2^2+4^2}[/tex]

= (-12+26i) / 20

= (-12/20) + (26/20)i

Divide both numerator and denominator by common terms

= (-3/5) + (13/10)i

Hence, the division of (4+5i) / (2-4i) is performed by multiplying the numerator and denominator by 2+4i and the result of the given expression is (-3/5) + (13/10)i

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Answer:

SSS

Step-by-step explanation:

The mean of the 10 sales amounts for store A is $40,000

The  least-squares regression line is

y=-3000+1.2x

where

x represents the sales amounts each day at store A

y represents the sales amounts each day at store B

we have

y=$45,000

substitute the value of y in the linear equation and solve for x

45000=-3000+1.2x

1.2x=48000

x=40000

therefore

The mean of the 10 sales amounts for store A is $40,000

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Answer:

Step-by-step explanation:

You want the area and perimeter of a rectangle that is 54 inches in length and 30.4 inches in width.

The area formula is ...

  A = bh

We can use the length as the "base" and the width as the "height", so we have ...

  A = (54 in)(30.4 in) = 1641.6 in²

The area of the television screen is 1641.6 square inches.

The perimeter of a rectangle is given by the formula ...

  P = 2(L +W)

Using the given length and width, the perimeter is found to be ...

  P = 2(54 in + 30.4 in) = 2(84.4 in) = 168.8 in

The perimeter of the television screen is 168.8 inches.

The area of the rectangular television screen is 1641.6 square inches and the perimeter of the television screen is 84.4 inches.

What is the area of a rectangle?
The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the product of its length and breadth. Its area is the space that the rectangle's boundary encloses.
Mathematically, area of a rectangle = length * width = l * w
What is the perimeter of a rectangle?
The perimeter is defined as the sum of all sides of the rectangle. Mathematically, perimeter of a rectangle = 2(length + width) = 2*(l + w)

Given, the length of the television screen = l = 54 inches
The width of the television screen = w = 30.4 inches
Using the formula mentioned in the literature above,
Area of the television screen = l * w = 54*30.4 = 1641.6 square inches
Also, perimeter of the television screen = l + w = 54 + 30.4 = 84.4 inches
Thus, the area of the rectangular television screen is 1641.6 square inches and the perimeter of the television screen is 84.4 inches.

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The statements that are true about the quadratic function and its graph include the following:

In Mathematics, the graph of any quadratic function or equation always forms a parabola because it is a u-shaped curve. For the given quadratic function, the graph is a upward parabola because the coefficient of x² is positive i.e when the value of "a" is greater than zero.

Next, we would determine the statements about the quadratic function and its graph that are true:

At point (-10, 82), we have:

f(x) = 1/5 x² – 5x + 12

f(x) = x²/5 – 5x + 12

f(-10) = -10²/5 – 5(-10) + 12

f(-10) = 82

At point (20, -8), we have:

f(x) = 1/5 x² – 5x + 12

f(x) = x²/5 – 5x + 12

f(20) = 20²/5 – 5(20) + 12

f(20) = -8

In conclusion, the graph of this quadratic function does not contain the point (0, 0) as shown in the image attached below.

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Complete Question:

Consider the quadratic function f(x) = 1/5 x² – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

For the given function g(x) , the values at given points :

a. g(9) = 2

b. g(0) = -2.5

c. g(3) = -1

d. g(17) = 6

A function is a set of rules that assigns each element of a set a unique element of another set.

If f is a function and f(x) = x+2, then if we have to find value of at x= 1 ,put 1 in place of x,

Then f(1 ) = 1+2 =3

Given that a function g is such that

g(x) = (x -5)/2

This the values of the function g at given points:

a. g(9) = (9-5)/2 = 4/2 = 2

b. g(0) = (0-5)/2 = -5/2 = -2.5

c. g(3) = (3-5)/2 = -2/2 = -1

d. g(17 ) =  (17-5)/2 = 12/2 = 6

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Answer:54

Step-by-step explanation:

54mis the answer

The solution of the given conditions are;

a. Smallest possible value of 100 draws = 100

b. Largest possible value of 100 draws = 600

c. Average of the box = 3.6

d. The expected value of the sum = 360

e. Standard Error = 0.189

Given tickets: 5, 1, 2, 4, 3, and 6.

Value of n = 100

Question a :

Smallest possible value of 100 draws = 100 * (Least of the ticket values)

                                                              = 100 * 1

                                                              = 100

Question b :

Largest possible value of 100 draws = 100 * (Highest of the ticket values)

                                                             = 100 * 6

                                                             = 600

Question c :

Average of the box = (5+1+2+4+3+6) / 6

                                = 22/6

                                = 3.6

Question d :

The expected value of the sum = 100 * the Average of the box

                                                     = 100 * 3.6

                                                     = 360

Question e :

Given, SD = 1.89

Standard Error =?

Standard Error = SD/[tex]\sqrt{n}[/tex]

SE = 1.89/√100

    = 1.89 / 10

    = 0.189

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       A mathematical statement indicating an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

|x+1/3| < 3/2.

Consider the center of the group of numbers that fulfill 2|x+1/3|3 to be x = -1/3.

The maximum value of this set is obtained by adding 3/2 to this -1/3:

-1/3 + 3/2, or -2/6 + 9/6, or 7/6.

The bottom limit of this solution set is obtained by subtracting 3/2 from this and then -1/3:

-1/3 - 3/2, or -2/6 - 9/6, or - 11/6.

The answer range is (7/6, -11/6).

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If wasps had eaten 20 apples then, 50 rotten apples were there and the rest of the apples were quality apples in the ratio of 4: 10: 20 respectively.

This is a problem from simple mathematical equations. We can solve this problem by following a few steps.

Let's consider x as the highest common factor of apples eaten by wasps, rotten and quality apples.

So, the number of apples eaten by wasps is, 4 × x = 4x

The number of rotten apples is, 10 × x = 10x

The number of quality apples is, 20 × x = 20x

As, we all know HCF of the numbers × ratio of numbers = The numbers

So, 4x = 20 as per the question.

Therefore, x = 5.

Now, we can write that the HCF is 5.

So, the number of rotten apples ≡ HCF × 10 = 5× 10 = 50.

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We can solve with functions exactly as we do algebraic equations. Our goal is to isolate the variable.

We're given:

[tex]q(x) = \dfrac{1}{2}x-3\\\\q(x) = -4[/tex]

Solve using substitution:

[tex]\dfrac{1}{2}x-3=-4[/tex]

Isolate x:

[tex]\dfrac{1}{2}x=-4+3\\\\\dfrac{1}{2}x=-1\\\\x=-2[/tex]

x = -2

Answer:

[tex] \huge \sf \: x = 30[/tex]

Step-by-step explanation:

x/3 = 10

[tex] \frac{x}{3} = \frac{10}{1} [/tex]

Cross multiply

x = 30

By means of algebra properties for powers and roots, the radical expression [tex]\sqrt[3]{81\cdot x^7\cdot y^{9}\cdot z^{5}}[/tex] is equivalent to the expression [tex]4.327 \cdot x^{\frac{7}{3} }\cdot y^{3} \cdot z^{\frac{5}{3} }[/tex].

In this question we need to simplify an expression by using algebra properties, that is, to transform an expression involving three variables (x, y, z), roots and power operators into an expression with only power operators, that is, where only we see power operators, no root operators of any kind. Now we proceed the entire procedure in detail:

In accordance to the algebra properties related to power and radical expressions, the radical expression [tex]\sqrt[3]{81\cdot x^7\cdot y^{9}\cdot z^{5}}[/tex] is equivalent to the power product [tex]4.327 \cdot x^{\frac{7}{3} }\cdot y^{3} \cdot z^{\frac{5}{3} }[/tex].

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Solution

Given the graphs below

For the graph of figure A and B:

Figure A and figure B are congruent.

Hence, yes they are congruent.

The transformation that map figure A onto figure B is to rotate figure A clockwise 90° about the origin.

For the graph of C and D:

Figure C and figure D are congruent.

Hence, yes they are congruent.

The transformation that map figure C onto figure D is reflect figure C over the y-axis

Answer:

4 books a day

Step-by-step explanation:

$30 ÷7=4.28

so If you sell 4 books a day you get $30 I'n the end of the week

The expressions which is equivalent to 2x + 3 would be 4x + 6.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions. To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We need to find the expressions which is equivalent to 2x + 3

Thus, we will Use the Distribute Property of Multiplication by multiplying the number outside the parenthesis with the numbers inside.

Let the expression be multiplying by 2 then;

2(2x + 3)

4x + 6

Hence, we can say that the expressions which is equivalent to 2x + 3 would be 4x + 6.

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Answer:

D

Step-by-step explanation:

Look at the original figure that is complete.  The left side of the figure has a length of 3 units, the top of the figure has a length of 2 units and the bottom of the figure has a length of 3 units.  

If you multiply each of those lengths, you will have  9 (3x3), 6 (2x3) and 9 (3x3).  Do you see in the large figure to the right, that you have a left side of 9, a top of 6 and a bottom of 9?  That is what you original figure looks like if we multiply the sides by 3.  We are missing the right side point.  That is the point on the right side that points inward.

If you look at the original shape and start at the left had bottom corner, you would have to move up one and one to the right to plot the point to finish the figure.  So, for the new figure we would need to go up three and three to the right to put the last point.  That would be point D.

Answer: 2.5 meters below sea level

Step-by-step explanation:

0.5 + 2 = 2.5

Hope this Helps!

Answer:4,3,8

Step-by-step explanation:

Explanation:

ASA = angle side angle

It refers to knowing two pairs of congruent angles, and a pair of congruent sides between the angles.

The angle markers tell us which angles are congruent. The shared overlapped sides are congruent (since any segment is congruent to itself; aka reflexive property).

ASA is slightly different from AAS in that the congruent sides for AAS are not between the congruent angles.

By using the table of values, we have the following:

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable (x-value) to an output variable (y-value or f(x)).

In this exercise, you're required to determine the value of each function based on the value of x shown in the table above. Therefore, you would identify the input variable (x-value) that corresponds to the value of the output variable (y-value or f(x)) in the given table and vice-versa.

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The value of the variable x is 2 and length of the segment AB = 25 and length of segment BC is 14.

If a Line segment AC is given in a plane and B is some point between the points A and C on the line segment AC. Then two segments of the line segment ac are formed that are AB and BC. and length of AC is equal to the sum of lengths of AB and BC.

Then AC = AB +BC

Given that  B is point on the line segment AC

Length of AB line = 9x+7

Length of BC = -3x +20

Length of AC = 39

Using segment addition postulate,

we have AC = AB +BC

⇒ 39 = 9x+7 + (-3x) +20

⇒ 39 = 9x -3x +7+20

⇒39 = 6x +27

⇒ 39-27 = 6x

⇒ 12 = 6x

⇒ 2 = x

∴ Length of AB will be = 9(2) +7 = 25

∴ Length of BC will be = -3x + 20 = -3(2) +20 = 14

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The complete question is mentioned in the picture below:

Answer:

Step-by-step explanation:

Find the value of s on one side of the equation to isolate it.

1.1=s+2.3/3

First, switch sides.

[tex]\sf{\dfrac{s+2.3}{3}=1.1}[/tex]

Multiply by 3 from both sides.

[tex]\sf{\dfrac{3\left(s+2.3\right)}{3}=1.1* \:3}[/tex]

Solve.

1.1*3=3.3

s+2.3=3.3

Then, subtract by 2.3 from both sides.

s+2.3-2.3=3.3-2.3

Solve.

Subtract.

3.3-2.3=1.0=1

s=1

Therefore, the final answer is s=1.

I hope this helps, let me know if you have any questions.