Of the 36 students in the environmental club, 15 or boys and 21 are girls. The president of the club wants to add more boys so that the boys represent 50% of the students in the club.

Hi!

Answer - Line R

Well refraction is the bending of something. I choose r because it may have refraction because of the 2 rectangles at the end of both sides.

Hope This Helps!

1. 4x = 7(x - 3)       1.Given

4x = (7)(x) + (7)(-3)

2. 4x = 7x - 21       2.Distributive property

4x - 7x = 7x - 7x - 21

3. -3x = -21            3.Subtraction property of equality

-3x : (-3) = -21 : (-3)

4. x = 7                  4.Division property of equality

The length of the longest bridge in the world is found by adding the length of the second longest bridge namely the Tianjin Grand Bridge, and the stated difference between the two bridges' lengths. After calculation, the length of the longest bridge in the world is found to be 540,700 feet.

To find the length of the longest bridge in the world, we should add the length of the Tianjin Grand Bridge (the second longest in the world) and the difference between the two bridges. In this case, the length of the Tianjin Grand Bridge is 373,000 feet and it's stated that this is 167,700 less than the length of the longest bridge.

So, we have to do the following calculation: 373,000 feet (length of the Tianjin Grand Bridge) + 167,700 feet (difference in length) = 540,700 feet.

So, the length of the longest bridge in the world is 540,700 feet.

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When a line is perpendicular to another line, the slope is the negative reciprocal of the other line's slope. So in this case, the slope would be 1, since the negative reciprocal of -1 is 1/1 which is 1.

To find the y-intercept, you have to substitute the point (8,2) into y = mx + b

2 = 1(8) + b

b = -6

The equation is y = x - 6

The equation of the line which is perpendicular and goes through the point (8,2) is y = x - 6

The equation of the required line in slope-intercept form is expressed as:

y-y0 = m(x-x0) where:

Given the equation of the line as y = -x

Get the slope of the line

mx = -x

m = -1

Since the required line is perpendicular to this line, the required slope will be 1 (M = -(-1/1))

Get the required equation

Recall that;

y-y0 = m(x-x0)

y - 2 = 1(x-8)

y - 2 = x - 8

y = x - 8 + 2

y = x - 6

Hence the equation of the line which is perpendicular and goes through the point (8,2) is y = x - 6.

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[tex]14n+6p-8n=18p\ \ \ \ |\text{subtract 6p from both sides}\\\\14n-8n=12p\\\\6n=12p\ \ \ \ |\text{divide both sides by 6}\\\\\boxed{n=2p}[/tex]

The correct solution for this equation is n = 2p.

I hope this helped! :)

To find dy/dx by implicit differentiation, differentiate both sides of the equation with respect to x. The derivative of sin(xy^2) with respect to x is cos(xy^2) * (y^2 * dx/dx + x * d(y^2)/dx). Simplify the expression to find dy/dx.

To find dy/dx by implicit differentiation, we will differentiate both sides of the equation with respect to x.

We have the equation 5+4x=sin(xy^2). Taking the derivative of both sides, the left side will be 0 since it is a constant. On the right side, we use the chain rule.

The derivative of sin(xy^2) with respect to x can be written as cos(xy^2) * (y^2 * dx/dx + x * d(y^2)/dx).

Simplifying further, dy/dx = (cos(xy^2) * (2xy^2 + x * 2y * dy/dx)) / (1 - x * 2y^2 * cos(xy^2)).

Answer:

y= 126

Step-by-step explanation:

The given equation is: y= 3x-2x^2+5x^3

Substituting the value x=3 in the above equation,we get

   y= 3(3)-2(3)^2+5(3)^3

⇒y= 9-2(9)+5(27)

⇒y= 9-18+135

⇒y= 126

The answer is 3 hours  40 minutes

Answer:

(1)  Rotation of 90° counterclockwise about the origin (2) Translation 2 units right .

Step-by-step explanation:

We have been asked to determine a sequence of transformations that maps △ABC to △A′B′C'.

To map △ABC to △A′B′C′ first of all we have to rotate △ABC 90° counterclockwise (positive rotation) about the origin. After rotating △ABC 90° our new coordinates will be A(-3,-4), B(-3,-1) and C (-1,-2).

We can see that distance between A and origin is [tex]\sqrt{5}[/tex] and distance between A' and origin is also [tex]\sqrt{5}[/tex]. Distance between A and A' is [tex]\sqrt{10}[/tex], which forms a right triangle.

To map △ABC to △A′B′C′ completely we will translate our △A′B′C' 2 units right. After translation our coordinates will be A'(-1,-4), B'(-1,-1) and C'(1,-2).

Therefore, a sequence of transformations that maps △ABC to △A′B′C′ is (1) rotation of 90° counterclockwise about the origin and (2) translation 2 units right.

Final answer:

The sequence of transformations is a rotation followed by a translation, which can map one triangle to another in the Euclidean plane.

Explanation:

A sequence of transformations that maps △ABC to △A′B′C′ can be described as a combination of basic transformations such as rotations, reflections, and translations. Based on the options given, the correct sequence to map △ABC to △A′B′C′ is a rotation followed by a translation. For example, if △ABC were rotated 90 degrees counterclockwise about the origin and then translated 2 units to the right, it could be mapped to a new position as △A′B′C′. It is important to note that the order of transformations can affect the outcome, and transformations are done in sequence.

I believe its asking you the formula to find the rows numbers moving forward

Examle row 5 will be 16, I believe that is B. 4n - 1

B) If you are a girl in this group, you are more likely to eat cereal for breakfast than not.

The answer is B I hope I helped

Answer:

the answer is B.28.7 hope i helped you learn something new

Step-by-step explanatio

Answer:

Remainder is 36.

Step-by-step explanation:

We are given that f(x) is divided by x+3 using synthetic division, and  we are given with table attached in the image.

In synthetic division, first row represents the coefficients of dividend. From the given table, dividend is f(x)=[tex]2x^{2}-5x+3[/tex] and  since f(x) is divided by x+3, divisor is -3.

First two numbers of last row represents coefficients of quotient and last most number of third row is remainder.

And we can write f(x) as (x+3)(2x-11)+36.

Hence remainder is 36 , when f(x) is divided by x+3.

Answer:

36

Step-by-step explanation:

this i believe is the settup u were describing

The answer is D, (3, -4)

f(x) = 8000 - (8000)(0.11)x

     = 8000 - 880x

f(5) = 8000 - 880(5)

     = 8000 - 4400

     = 3600

Answer: $3,600

Answer:

$4467.25

Step-by-step explanation:

We have been given that a jet ski depreciates at 11% of its original value each year. The jet ski was $8,000 as it’s time of purchase.

We will exponential decay function to solve our given problem.

[tex]y=a\cdot(1-r)^x[/tex], where,

a = Initial value,

r = Decay rate in decimal form.

[tex]r=\frac{11}{100}=0.11[/tex]

[tex]y=\$8,000\cdot(1-0.11)^5[/tex]

[tex]y=\$8,000\cdot(0.89)^5[/tex]

[tex]y=\$8,000\cdot 0.5584059449[/tex]

[tex]y=\$4467.2475592[/tex]

[tex]y\approx \$4467.25[/tex]

Therefore, the value of ski jet after 5 years would be $4467.25.

ANSWER

The correct answer is [tex]m=45,n=12[/tex].

EXPLANATION

We were given the matrix equation;

[tex]\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right][/tex].

We must first simplify the Left Hand Side of the equation by adding corresponding entries.

[tex]\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right][/tex].

That is;

[tex]\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right][/tex].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.

This implies that;

[tex]n-2=10[/tex]

We got this equation from row one-column one entry of both matrices.

[tex]n=12[/tex]

Also, the row three-column three entries of both matrices will give us the equation;

[tex]m-5=40[/tex]

[tex]m=45[/tex]

Hence the correct answer is [tex]m=45,n=12[/tex].

The correct option is option 2

The number that is divisible by 3 and 9 is 40,653.

The division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths.

We may face different situations every day where we use the division technique.

Given are numbers, we need to find which of them numbers are divisible by 3 and 9,

LCM of 3 and 9 is 9,

So numbers completely divisible by 9 will also be divisible by 3.

The only number from the option which is completely divisible by 9 is 40,653.

Hence, the number that is divisible by 3 and 9 is 40,653.

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[tex]y\geq2-2x\\\\\text{Let's the line}\ y=2-2x\\\\for\ x=0\to y=2-2(0)=2\to(0,\ 2)\\for\ x=1\to y=2-2(1)=0\to(1,\ 0)[/tex]

[tex]\text{draw a line and shade above the line}\\\\\text{Look at the picture}[/tex]

Answer:

Graph is attached below

Step-by-step explanation:

To graph the given inequality , replace the inequality sign by = sign

y≥2−2x

y=2−2x

Now make a table , assume some random number for x and find out y

x         y=2-2x

0          2

1           0

2          -2

Now graph all the points (0,2) (1,0) (2,-2)

Now we do shading. For shading use test point (0,0)

plug in 0 for x and 0 for y

[tex]y\geq 2-2x[/tex]

[tex]0\geq 2-2(0)[/tex]

[tex]0\geq 2[/tex] is false

So shade the region that does not contain (0,0)

The graph is attached below

The answer is B. If you look at a graph of -tan (which is cot), the places the graph crosses -1 are at pi/4 plus kpi. If you add pi to pi/4, you get 5pi/4, and these two answers are in B only.

Im adding an answer so the other guy that gave an answer gets his points.

x = 0

distribute parenthesis on both sides of the equation and simplify

3x - 7 - 4x = 10x - 8 + 1

- x - 7 = 10x - 7 ( subtract 10x from both sides )

- 11x - 7 = - 7 ( add 7 to both sides )

- 11x = 0 ( divide both sides by - 11 )

x = 0

[tex]\left[\begin{array}{ccc}2&4\\3&-9\end{array}\right]\\\\\det\left[\begin{array}{ccc}2&4\\3&-9\end{array}\right]=(2)(-9)-(4)(3)=-18-12=-30[/tex]

Answer:

-30 will be the determinant.

Step-by-step explanation:

We have to find the system determinant of the given matrix

[tex]\begin{bmatrix}2 & 4\\ 3 & -9\end{bmatrix}[/tex]

Determinant will be = 2(-9) - (4 × 3)

                                 = -18 -12

                                = -30

Therefore, as per given options by you in the comments.

option A is the answer.

Answer:

The answer is option (C), One cement bridge post weighs 9,135 pounds

Step-by-step explanation:

Step 1: Get the total volume of a cement bridge post

The cement bridge post is in the shape of a cuboid, therefor the volume of the cement bridge post can be expressed as;

Volume of cement bridge post=Base area×Length

where;

Base area=(24^2) inches square

1 foot=12 inches

Convert 24 inches to foot=24/12=2^2=4 feet²

Length=15 feet and 9 inches

1 foot=12 inches

Convert 9 inches to foot=9/12=0.75 feet

Total length=(15+0.75)=15.75 feet

replacing;

Volume of cement bridge post=(4×15.75)=63 cubic feet

Volume of cement bridge post=63 cubic feet

Step 2: Get the total weight of the cement bridge post

Total weight of the cement bridge post=Weight per cubic foot×total volume of the cement bridge post

where;

Weight per cubic foot=145 pounds per cubic foot

Total volume of the cement bridge post=63 cubic feet

replacing;

Total weight of the cement bridge post=(145×63)=9,135 pounds

One cement bridge post weighs 9,135 pounds

Yes, this table represents a function.

Function--

It is  a set of ordered pair of the type: (x,y) in which each input variable i.e. x is mapped to a single output i.e. y.

i.e. each of the value of x is mapped to a single y.

Here after looking the table we observe that each of the value of the independent variable i.e. Hours of training is mapped to a single value of the dependent variable i.e. monthly pay.

1. Qualitative

2. Quantitative

3. Quantitative, continuous data

4. Quantitative, discrete data

5. Quantitative, continuous data

x = - [tex]\frac{7}{4}[/tex] or x = 0

take out a common factor 2x

2x(4x + 7 ) = 0

equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

4x + 7 = 0 ⇒ x = - [tex]\frac{7}{4}[/tex]

Answer:

In a linear equation  of one variable there are two terms terms containing variable and constant.

Variable means term containing x,y,z which act as variables. and constant means any rational number . In higher classes you can include real number also.

The given equation is 3x + 5x = 10

So, the solution out of four options is A) 5x = 20.

Here variable is on one side of equation and constant on other side.

But Option (D) looks absolutely correct if we replace ? by either + sign or Negative (-) sign.

Answer:

D. [tex]4x-2x=10[/tex]

Step-by-step explanation:

We have been give an equation [tex]3x+5x=10[/tex]. The equation is solved by combining like terms. We are asked to choose the equation that an be solved by combining the like terms.

Let us check our given choices one by one.

A. [tex]5x=20[/tex]

We can see that equation A will be solved by dividing 20 by 5, therefore, option A is not correct choice.

B. [tex]2(x+5)=20[/tex]

We can see that equation B will be solved by dividing 20 by 5 and then subtracting 5, therefore, option B is not correct choice.

C. [tex]\frac{x}{4}=20[/tex]

We can see that equation C will be solved by multiplying 20 by 4, therefore, option C is not correct choice.

D. [tex]4x-2x=10[/tex]

We can see that equation D will be solved by combining like terms, therefore, option D is correct choice.

y = - [tex]\frac{2}{3}[/tex] x - 2

the equation of a line in ' slope - intercept form ' is

y = mx + c ( m is the slope and c the y- intercept ) calculate m using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0 , - 2 ) and (x₂ , y₂ ) = A( 6 , - 6 )

m = [tex]\frac{- 6+ 2}{6 - 0}[/tex] = [tex]\frac{-4}{6}[/tex] = - [tex]\frac{2}{3}[/tex]

y -intercept c = - 2 ( from graph )

y = - [tex]\frac{2}{3}[/tex] x - 2

Answer C, aka 3 is that line's slope.

Answer:

the slope of the line is 3

Step-by-step explanation:

Hello, I think I can help you with this

if you have two points of a line

[tex]P1=(x_{1},y_{1})\\ and\\P2=(x_{2},y_{2})[/tex]

you can find the slope using

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

Step 1

Let

P1( 1, 3) and P2(3,9)

put the values into the equation

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\m=\frac{9-3}{3-1}\\m=\frac{6}{2}\\ m=3[/tex]

the slope of the line is 3

I hope it helps,Have a great day.

That is 5 1/4 - 1 3/4

= 21/4 - 7/4

=14/4

= 3 1/2 inches