What is the range of f

First subtract the difference between the two:

200 - 50 = 150

Now divide that by 2:

150/2 = 75

Bills share is $75

Now add the $50 to 75 to get Ann's share:

75 + 50 = $125

Ann's share is $125

Bill's share is $75

Answer:

The width of the frame is 3 inches

Step-by-step explanation:

We are told that the inner rectangle is 10 inches by 16 inches.

It means the outer rectangle has to be (L = 10 + 2x) by (W = 16 + 2x),

Where x represents the width of the frame.

The perimeter of the frame is given by; p = 2L + 2W

p = 2(10+2x) + 2(16+2x)

We are given perimeter, P = 76

Thus;

2(10 + 2x) + 2(16 + 2x) = 76

Divide both sides by 2 to give;

(10+2x) + (16+2x) = 38

(10+16) + (2x+2x) = 38

4x = 38 - 26

4x = 12

x = 12/4 = 3

The width of the frame is x = 3 inches

Answer:

x>-3

Step-by-step explanation:

Answer:

x > 3

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

-------------------------

Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

The matching choice is C.

Answer:

Đối tượng kế toán là sự hình thành và biến động của tài sản mà kế toán phải phản ánh và giám đốc trong quá trình hoạt động của đơn vị được thể hiện ở hai mặt là Tài sản và Nguồn vốn. Tài sản của đơn vị; Sự vận động của tài sản.

The value of x is 50 for which line l is parallel to line m and the angles are equal by the properties of parallel lines that is vertically opposite angles are equal.

Two lines (in the same plane) are said to be parallel if they never collide, regardless matter how far they are extended on either side. Parallel lines travel parallel to each other, like train tracks. Parallel lines in geometry are two lines in the same plane that are at equal distance from each other but never intersect. They can be both horizontal and vertical in orientation. Parallel lines can be found in everyday life, such as zebra crossings, notepad lines, and railway tracks.

Here,

Since l ⇵ m,

Vertically opposite angles are equal by the properties of parallel lines.

2x-5=95

2x=100

x=50

The value of x is 50, which means that line l is parallel to line m and the angles are equal according to the property of parallel lines, which states that vertically opposing angles are equal.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The general solution of the logistic equation is y = 14 / [1 - C · tⁿ], where a = - 14² / 3 and C is an integration constant. The particular solution for y(0) = 10 is y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

Herein we have a kind of ordinary differential equation with separable variables, that is, that variables t and y can be separated at each side of the expression prior solving the expression:

dy / dt = 3 · y · (1 - y / 14)

dy / [3 · y · (1 - y / 14)] = dt

dy / [- (3  / 14) · y · (y - 14)] = dt

By partial fractions we find the following expression:

- (1 / 14) ∫ dy / y + (1 / 14) ∫ dy / (y - 14) = - (14 / 3) ∫ dt

- (1 / 14) · ln |y| + (1 / 14) · ln |y - 14| = - (14 / 3) · ln |t| + C, where C is the integration constant.

y = 14 / [1 - C · tⁿ], where n = - 14² / 3.

If y(0) = 10, then the particular solution is:

y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

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The perimeter of the triangle  STU is 20.6 units

To find the perimeter of triangle STU, we need to use the formula of distance between two points and then take the sum of all the sides.

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\)

For line ST;

(-4, -2) and (-4, 5)

\(d = \sqrt{(-4 - (-4))^2 + (5 - (-2))^2} \\d = 7\)

For line TU;

(-4, 5) and (-9, -2)

\(d = \sqrt{(-9 - (-4))^2 - (-2 - 5)^2} \\d = \sqrt{74} \\d = 8.6\)

For line US;

(-9, -2) and (-4, -2)

\(d = \sqrt{(-9 - (-4))^2 + (-2 - (-2))^2}\\d = 5\)

The distance between the sides are 7, 8.6 and 5 units.

The perimeter of the triangle = 7 + 8.6 + 5 = 20.6 units

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The required simplified solution of the given expressions is,

(a) 0.56       (b) Not defined.

Simplifying in mathematics refers to the process of working on and understanding a function in order to make it simpler or more understandable.

Here,

(a)

3 = 7ˣ

Applying logarithm,

log3 = xlog7

log3 / log 7 = x

x = 0.56

(b)

-4 = 7ˣ

Applying logarithm,

log(-4) = xlog7

Because log(-4) cannot be defined, the solution to the equation cannot be defined.

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a) The terminal point is 0.896 radius length.

b) The value returned is -0.896.

We have,

The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)

a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:

x-coordinate of terminal point: -2.69

Number of radius lengths to the right: -2.69 / 3 ≈ -0.896

However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.

Thus, the number of radius lengths to the right is

Number of radius lengths to the right: -(-0.896) = 0.896

Therefore, the terminal point is 0.896 radius length.

b. Using Trigonometry

cos(h) = x-coordinate of terminal point / radius length

cos(h) = -2.69 / 3 ≈ -0.896

c. As, θ = h. From the given information, we have:

θ ≈ -0.896 radians

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Answer:

The numbers are 2 and 8.

Solution,

Let the numbers be X and 4x

\( \frac{1}{x} + \frac{1}{4x} = \frac{5}{8} \\ or \: \frac{1 \times 4 + 1}{4x} = \frac{5}{8} \\ or \: \frac{4 + 1}{4x} = \frac{5}{8} \\ or \: \frac{5}{4x} = \frac{5}{8} \\ or \: 5 \times 4x = 5 \times 8(cross \: multiplication) \\ or \: 20x = 40 \\ or \: x = \frac{40}{20} \\ x = 2 \\ again \\ 4x \\ = 4 \times x \\ = 4 \times 2 \\ = 8\)

hope this helps...

Good luck on your assignment..

Answer:

  C.  y = x^2 -10x +26

Step-by-step explanation:

The translated function is ...

  g(x) = f(x - right) + up

  g(x) = f(x -5) +1

  g(x) = (x -5)^2 +1

  g(x) = x^2 -10x +26

In "y =" form, this is ...

  y = x^2 -10x +26 . . . . matches choice C

Answer:

the bird will need to fly 4feet closer to the flower

Answer:

123.7 meters

Step-by-step explanation:

If you draw a diagram, this will be a rectangle and the line across cuts it into a right triangle, with a base of 120 and a height of 30. The need to know the length of the hypotenuse of the triangle, so we can use the pythagorean theorem.

30^2 + 120^2 = c^2

c=123.7

Answer:

b=133 degrees

c= 47 degrees

Step-by-step explanation:

If you need an explanation, I will put it in the comments.

Using a system of equations, the rental cost for a movie and a video game is as follows:

A system of equations is two or more equations solved concurrently or at the same time.

A system of equations is also described as simultaneous equations.

                                  Movies   Video     Total

                                                Games    Cost

First month rental           3          5          $32

Second month rental    12          2          $29

Let the rental cost per movie = x

Let the rental cost per video game = y

3x + 5y = 32 ... Equation 1

12x + 2y = 29 ... Equation 2

Multiply Equation 1 by 4:

12x + 20y = 128 ... Equation 3

Subtract Equation 2 from Equation 3:

12x + 20y = 128

-

12x + 2y = 29

18y = 99

y = 5.5

Substitute y = 5.5 in Equation 1 or 2:

12x + 2y = 29

12x + 2(5.5) = 29

12x + 11 = 29

12x = 18

x = 1.5

Thus, based on simultaneous equations, the rental cost for a movie is $1.50 while a video game's is $5.50.

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Answer: B= 55°, C= 125°

Step-by-step explanation:

1) B is vertical to 55°, so B=55°

2) B and C are supplementary, so C=180-55°=125°

Answer:

125 degrees

Step-by-step explanation:

The neighbor's flower garden shares a similar space with a length of 7 yards and a width of 21 yards².

According to the data, the rectangular flower garden has a length of 5 yards and a footprint of 15 yards square. the following width:

Width = Area / Length

Width = 15 / 5

Width = 3 yards.

since the 7-yard-long flower garden of the neighbor is comparable. The area is:

= Length × Width

= 7 × 3

= 21 yards²

The area is 21 yards².

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Answer:

I think he should continue with the same rate of Rs300 per dozen to gain profit of Rs2100

At the rate of Rs 90 pre 5 apples he have to pay Rs 5400 for 300(25 dozen) apples.

total he have 25 dozen of apples.if he sold 12 dozen of appels at 300 per dozen then he earns Rs 3600. according to the merchant goal he wanted to make profit of 2100.we will add rs 2100 to CP hence we will get SP of Rs 5400+2100=7500. if he had already sell 12 dozens at rs 3600 then we will reduce the amount from SP hence we will get Rs 3900 to be earn. 13 dozens of apple is left so we can divide 3900/13 and we will get Rs 300.

if he continues selling those remaining 13 dozens of apple at the same rate the he can make profit of rs 2100.

Answer:

28

Step-by-step explanation:

40×70% or 40×.7= 28 so 28 is 70% of 40

Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.

Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:

= 25/40 = 0.625.

The amount that will be removed in 59 hours will be:

= 59 × 0.625 = 36.875

The number of milligrams that will remain will be:

= 50 - 36.875 = 13.125 milligrams

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money

shopping

dividing

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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12 snails, give me brainliest pls

Answer:

12 is the correct answer

Step-by-step explanation:

Answer:

hello your question is incomplete here is the complete question

write the expression as the sine, cosine,  or tangent of an angle.

\(sin 60 cos 15 + cos 60 sin 15\)

answer : \(sin 60 cos 15 + cos 60 sin 15 = sin 75\)

Step-by-step explanation:

To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity

\(sin 60 cos 15 + cos 60 sin 15\)  can be represented in the form of ;

sin( u + v ) = sin u cos v + cos u sin v --------- (1)

comparing equation 1 with the given expression

u = 60 and v = 15

therefore writing the expression in the form of the sine of an angle would be the answer

= sin( 60 + 15 )  = sin 60 cos 15 + cos 60 sin 15

hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15

Answer:

monthly payment = $918

interest payment = $450

principal payment = $468

new loan balance = $119,532

Step-by-step explanation:

Answer:

substitute the value for C

Step-by-step explanation:

with that you'd be able to solve for x

E.(12+6)÷(6-3)

hope it help to you

Answer:

a) 7(17-5)

b) (27+8)-9

c) (5-3)+27

d) 36÷ (9-5)

e) (12+6)÷(6-3)

f) (7x6)+(4-3)

there's your answer! :D