hello can you help me solve this plane trigonometry question

To reflect the figure, we have to draw the new vertex at the same distance from the line x = -4, the image below shows this reflection.

Notice that the new figure has the same distance from x = -4 as the pre-image.

Let

x -----> the number of milliliters of the 3.5% solution

y ----> the number of milliliters of the 6% solution

we have that

3.5%=3.5/100=0.035

6%=6/100=0.06

5%=5/100=0.05

so

0.035x+0.06y=0.05(500) -------> equation A

and

x+y=500 -----> x=500-y ------> equation B

solve the system of equations

substitute equation B in equation A

0.035(500-y)+0.06y=0.05(500)

solve for y

17.5-0.035y+0.06y=25

0.025y=25-17.5

0.025y=7.5

y=300

Find out the value of x

x=500-300=200

therefore

The number of bookshelves needed if each bookshelves contain 5 books is 10.

She has 47 books. . She wants to put them all on bookshelves.

Therefore, the number of bookshelves she will need if each shelf holds 5 books can be calculated as follows:

The total number of books she has in her possession is 47 books.

All the books must have a place in the bookshelves.

Each bookshelves can only contain 5 books.

Hence,

let

x = number of bookshelves

Therefore,  the equation to find the number of bookshelves is as follows:

5x = 47

divide both sides by 5

x = 47 / 5

x = 9.4

Therefore, Shiloh will require 10 book shelves.

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SOLUTION

In a photograph, a skyscraper measures 5.8 in, tall

The scale of the photo to the actual skyscraper is 1 : 245

That is 1 : 245 = 1 / 245 = 5. 8 / x

Cross- multiply we have:

1 X x = 5 . 8 X 245

x = 1421 inches in feet = 118.4167 feet

The rate at which the area of this square increases when the area of the square is 9 cm is 24 cm²/s.

The rate of change is a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.

Mathematically, the area of a square can be calculated by using this formula;

A = s²

Where:

Next, we would determine the side length of a square by making s the subject of formula as follows:

A = s²

s = √A

s = √9

s = 3 cm.

By applying chain rule of differentiation, the rate of change (da/dt) in area of this square with respect to time is given by:

dA/dt = 2 × s(t) × ds/dt

dA/dt = 2 × 3 × 4

dA/dt = 24 cm²/s.

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The value of g(x) will be expressed as g(x) = (x + 5)

A function may be defined as an expression in which for one value of input variable x there is only one value of output variable y. The input variable is called as independent variable and output variable is called dependent variable. Composite functions are the functions which are written as combination of two functions. A function f(x) may be defined as composite function of another function g(x) when it can be written as either f(g(x)) or g(f(x)). We know that f(x) = x⁹ and the composite function H(x) = f(g(x)) = (x + 5)⁹. So, from this we can say that the function g(x) will be given as (x + 50 as we put (x + 5) as x in the function H(x).

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Answer:7719

Step-by-step explanation:

Answer:

what is the problem text me

I can probably

Step-by-step explanation:

⇒First step is to find the gradient

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{8-(-3)}{-5-2} \\m=\frac{8+3}{-7} \\m=-\frac{11}{7}[/tex]

In the general equation y=mx+c let us find the value of c by plugging in the known values

I will use the point (-5,8) Note you can use any .You will get the same value of c.

[tex]8=-\frac{11}{7} (-5)+c\\8=\frac{55}{7} +c\\c=8-\frac{55}{7} \\c=\frac{1}{7}[/tex]

The equation now is:

[tex]y=-\frac{11}{7} x+\frac{1}{7}[/tex]

Answer: 80

Step-by-step explanation:

You do 2 times= 8 and multiply 8 to the 5 white and black tiles which equals 40+40=80.

The total area for the parallelogram shaped tiles Felix needs to buy is 80cm² at the price of $40.

In calculating for the area of parallelogram, the base is multiplied by the height, as the same way for calculating the area of a rectangle.

Given that, the base of one parallelogram shaped tile is 4cm with height as 2cm.

Area of one parallelogram shaped tile = 4cm × 2cm

Area of one parallelogram shaped tile = 8cm²

Total area for the 5black and 5white tiles = 10 × 8cm²

Total area for the 5black and 5white tiles = 80cm²

Therefore, Felix needs to buy a total of 80cm² of 10 parallelogram shaped tiles.

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After simplification the answer is 31.418 or 31.42

Define Radicals

The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root.

The given expression is,

2√6(√2 + 5)

First, open the brackets

2√6 * √2 + 5 * 2√6

we know, √6 = √3 * 2 = √3 * √2

so, 2√3 * √2  * √2 + 10√6

We didn't open the both √6 values it's because we want to remove  root from √2 so as we know √2 * √2 = 2

2√3 * 2 + 10 * √6

=> 4√3 + 10 * √6

Now, put the values of √3 = 1.732 and √6 = 2.449

=> 4 *  1.732 + 10 * 2.449

=> 6.928 + 24.49

=> 31.418 or 31.42

Therefore, the answer is 31.418 or 31.42

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a. Greg can eat 8 breakfasts from 1 box.

b. The cost of 1 breakfast from a regular-sized box is $34.32.

c. Greg will enjoy 4 breakfast more.

a. A regular-sized box contains 12 servings. If Greg eats 1 1/2 servings for breakfast every day, the number of breakfasts that Greg can eat from 1 box will be:

= 12 ÷ 1 1/2

= 12 ÷ 1.5

= 8

b. Since the regular-sized box of cereal costs $4.29. The cost of 1 breakfast from a regular-sized box of cereal cost Greg will be:

= 8 × $4.29

= $34.32

c. If Greg purchased the family-sized box of cereal that contains 18 servings, the number of breakfasts will be:

= 18 ÷ 1.5

= 12 breakfast

The difference will be:

= 12 - 8

= 4 breakfast more.

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The distances that the footballs travel before hitting the ground is 50 yards.

For the given question;

The football is kicked by the player.

The second kick is modeled by f(x) = -0.051x(x - 50).

Where, f is the height (in yards) and x is the horizontal distance (in yards).

For calculating the distances that the footballs travel before hitting the ground, Put f(x) = 0.

As, the ball will reach the ground the height of ball above ground will be zero, thus f(x) = 0.

f(x) = -0.051x(x - 50) = 0

Simplifying;

-0.051x² + 2.25x = 0

Or, divide wole equation by x.

0.051x = 2.25

x = 50 yards.

Thus, the distances that the footballs travel before hitting the ground is 50 yards.

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We have

1. The timing shown in the morning is from 8:15 to 12:15, this is the number of hours worked in the morning is 4 hours.

The pay is $13.50 per hour

Therefore, the pay earned in the morning is:

then, the pay earned in the morning is $54

2. The timing shown in the afternoon is from 13:00 to 17:30, this is the number of hours worked in the afternoon is 4 hours and 30 minutes. Therefore, the pay in the afternoon is:

then, the pay earned in the afternoon is $60.75

The pay per 1 day is:

pay in the morning + pay in the afternoon

Answer: pay for a day is $114.75

Given the following question:

The principal wants to estimate the percentage of students in the school who play video games, which is a good number of students. Selecting 30 random students and asking them if they play video games can represent the entire school. Asking 30 random students keeps it from being biased for example option B, asking 30 students who take coding classes is biased because they are in one specific class, they do not represent the majority of the school unless the school is a coding school.

The answer is the first option because it is a random sample of people to represent a population of people. This keeps the results from being biased so asking 30 random students is the way to go.

To find the slope of the line that passes through (9, 10) and (6, 12)

We will use the formula;

From the points given;

x₁ = 9 y₁=10

x₂ = 6 y₂=12

Substitute the values into the formula;

Evaluate;

IN THE PLACE OF x PLYG IN 4 AND SOLVE.

[tex]f(4) = - (4)^{2} - 8 \\ f(4) = - (16) - 8 \\ f(4) = - 16 - 8 \\ f(4) = - 24[/tex]

HOPE THIS HELPS

Answer:

====================

Solve by substitution

The mid-point of LP is 1.5.

Here we have to find the mid-point of the line LP

L is on -2 on the line and P is on 5.

To find the mid-point we have a formula:

mid-point = (b - a)/2

where a and b are two points between which we have to find the mid-point.

So, mid-point of LP = 5 - (-2) / 2

                                = 7/ 2

                               = 3.5

Now we have to find the value so we will subtract -2 with 3.5.

So the mid-point is 3.5 - 2= 1.5.

Therefore the mid-point of the line LP is 1.5.

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hello

to solve this question, we need to plot the graph of this equation

Answer:

No

Step-by-step explanation:

In order to solve this, we plug in the values for x and y. Remember that x = -1 and y = -9

-9 = 7 - 2(-1)

-9 = 7 + 2

-9 ≠ 9

Answer:

5/3

Step-by-step explanation:

rise over run

(8-3)/(3-0)

Answer:

  y = -7/8x -2

Step-by-step explanation:

You want the slope-intercept equation of the line through the points (8, -9) and (0, -2).

The slope of the line through points (x1, y1) and (x2, y2) is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For the given points, the slope of the line is ...

  m = (-2 -(-9))/(0 -8) = -7/8

The y-intercept of the line is the y-value when x = 0. The point (0, -2) tells you the y-intercept is -2.

The slope-intercept equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

For a slope of -7/8 and a y-intercept of -2, the equation is ...

  y = -7/8x -2

Answer:

y = 3x + 3 :D

Step-by-step explanation:

Equation of line: y = mx + b :)

b: Y intercept

m: Slope

Now lets solve :)

Lets find M first :)

We need 2 points so lets use (0,3) and (1,6) :)

We fist need to subtract :)

6 - 3 = 3

1 - 0 = 1

Now we divide :)

3/1 = 3

Lets put that into our equation :)

y = 3x + b

Now lets find B :)

To find b, we need to see where the line intercepts the y axis! This will be at point (0,3)!

The y intercept will be 3 :)

The final equation will be y = 3x + 3 :)

Have an amazing day!!

Please rate and mark brainliest if helpful!

We have the function f(t) defined as:

We have to find f'(x).

We can solve this integral as:

If we derive this expression for f(x) we obtain:

NOTE: This expression could have been derived from the function inside the integral.

We can now find f'(3) as:

Answer:

f'(x) = x^4

f'(3) = 81

ANSWER

A. x ≥ -5 and x < 4

EXPLANATION

We have the two inequalities:

- 4x + 1 ≤ 21 and 5x + 2 < 22

Let us solve them separately:

FIRST ONE

-4x + 1 ≤ 21

Collect like terms:

-4x ≤ 21 - 1

-4x ≤ 20

Divide through by -4, the sign changes:

SECOND ONE

5x + 2 < 22

Collect like terms:

5x < 22 - 2

5x < 20

Divide through by 5:

x < 20 / 5

x < 4

The answer is Option A.

Answer:

Solutions below.

Step-by-step explanation:

This question tests on the concept of graph reading.

To find the slope of a line, we have to use the following formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Now, we can pick 2 random points on the line to substitute the values in to find the slope.

We will pick

(0, 3) as (x1, y1)

and

(2,0) as (x2, y2)

Therefore the slope will be:

[tex] \frac{0 - 3}{2 - 0} \\ = \frac{ - 3}{2} \\ = - \frac{3}{2} [/tex]

Now to find the y-intercept, as the name suggests, it is the point where the line intercepts the y-axis (vertical axis) , in this case, it is 3.

The point of this intercept is (0,3).

Answer:

Step-by-step explanation:

You want the slope and the y-intercept of the line shown in the graph.

The slope is the ratio of "rise" to "run". It is best found by identifying points on the graph where the line crosses grid intersections. The attachment shows two of those: (0, 3), (3, -2).

You can count grid squares or use the slope formula to find the slope.

  slope = rise/run = (y2 -y1)/(x2 -x1)

  slope = (-2 -3)/(3 -0)

  slope = -5/3

The y-intercept is the y-value of the point where the line crosses the y-axis. We have already found that to be 3, at one of the points used to find the slope.

  y-intercept = 3 . . . . point (0, 3)

__

Additional comment

The slope-intercept form equation for the line would be ...

  y = -5/3x +3

The standard-form equation would be ...

  5x +3y = 9

<95141404393>

Given the regular price is $43.

S.P= 35% off on regular price i.e.

Hence, after 35% off, the price is $27.95

Basketball 12 votes; Soccer 24 votes; Football 24 votes

Here, we want to select the options that could represent the percentage

From what we have, soccer and football are same value and basketball is half of these

So the option where we have the given outline is the correct answer

Looking at the options, the only place we have the outline is;

Basketball 12 votes; Soccer 24 votes; Football 24 votes