Solve for the value of r.
(7r-5)
(6r+4)°

The set of side lengths that can produce a triangle as required in the task content is; Choice E; 5, 7, 11.

It follows from the task content that the set of side lengths that could produce a triangle.

Recall from the triangle inequality theorem that the sum of any two side lengths is greater than the third side length. Also, the difference of any two side lengths is less than the third side length.

Hence, the correct answer choice is; Choice E; 5, 7, 11.

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The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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hope it helps

Answer:

Step-by-step explanation:

option (d) 4hrs 40mins

Answer: (4)

Step-by-step explanation:

A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

Answer:

S ≈ 9.8

Step-by-step explanation:

Finding central angle of circle A first

S=r∅

6.5 = (4)∅

Central angle = 6.5/4

C A = 1.63(in radians)

Now finding Arc EF

S = r∅

S = (6)(1.63)

S = 9.75

S ≈ 9.8

Answer:

see below

Step-by-step explanation:

every stage is 60m

stage one = -340+60 = -280

stage 2: -280 +60 = -220

stage 3: -220 +60 = -160

stage 4: -160+60 = -100

stage 5: -100+60= -40

stage 6: -40+60 =20

it'll take it 6 stages to fully surface

Answer:

B) 352

Step-by-step explanation:

45% = 0.45

640 x 0.45= 288

288 is how many students walked to school

So to find how many took the bus to school

640- 288= 352

Answer:

you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.

Answer:

The company should spend $40 to yield a maximum profit.

The point of diminishing returns is (40, 3600).

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Coordinate Planes

Functions

Terms/Coefficients

Quadratics

Algebra II

Coordinate Planes

Calculus

Derivatives

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)  

Basic Power Rule:

1st Derivative Test - tells us where on the function f(x) does it have a relative maximum or minimum

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle P = \frac{-1}{10}s^3 + 6s^2 + 400\)

Step 2: Differentiate

Step 3: 1st Derivative Test

∴ s = 0, 40 are our critical numbers.

Step 4: Find Profit

We see that we will have a bigger profit when we spend s = $40.

∴ The maximum profit is $3600.

∴ The point of diminishing returns is ($40, $3600).

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation (Applications)

Answer:

ΔACB ≅ ΔQPR ( SAS congruence )

Step-by-step explanation:

What is SAS congruence ?

Two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the other triangle, according to the SAS (Side Angle Side) rule.

In triangle ΔACB and ΔQPR

                    AC  =     PQ  ( equal sides )

                 ∠ACB  =   ∠QPR ( equal angles between the sides )

                    BC  =   RP      ( equal sides )

Hence         ΔACB ≅ ΔQPR ( SAS congruence )

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Answer:

X = 10/(y-4)

Step-by-step explanation:

4X(y-4) = 40

X(y-4) = 10

X = 10/(y-4)

Answer:

1.an equilateral triangle is never similar to a scalene triangle.

2. because we can never map one onto the other using only dilations and rigid transformations.

This is because an equilateral triangle has all equal sides and the same angle measures, and a scalene triangle's sides are all different measures and the angles don't measure the same angle.

Answer:c

Step-by-step explanation:

c

Answer:b

Step-by-step explanation:

Step-by-step explanation:

\((\sec A - \csc A)(1 + \cot A + \tan A)\)

\(=(\sec A - \csc A)\left(1 + \dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} \right)\)

\(=(\sec A - \csc A)\left(1 + \dfrac{\cos^2 A + \sin^2 A}{\sin A\cos A} \right)\)

\(=(\sec A - \csc A)\left(\dfrac{1 + \sin A \cos A}{\sin A \cos A} \right)\)

\(=\left(\dfrac{\frac{1}{\cos A} - \frac{1}{\sin A}+\sin A - \cos A}{\sin A\cos A}\right)\)

\(=\dfrac{\sin A - \sin A \cos^2A - \cos A + \cos A\sin^2A}{(\sin A\cos A)^2}\)

\(=\dfrac{\sin A(1 - \cos^2A) - \cos A (1 - \sin^2 A)}{(\sin A\cos A)^2}\)

\(=\dfrac{\sin^3A - \cos^3A}{\sin^2A\cos^2A}\)

\(=\dfrac{\sin A}{\cos^2A} - \dfrac{\cos A}{\sin^2A}\)

\(=\left(\dfrac{1}{\cos A}\right)\left(\dfrac{\sin A}{1}\right) - \left(\dfrac{1}{\sin^2A}\right) \left(\dfrac{\cos A}{1}\right)\)

\(=\sec^2A\csc A - \csc^2A\sec A\)

Answer:

-85

Step-by-step explanation:

we know that,

- , - = +

so -16 & -69 is sum of both but sign same Minus here

\. /

\/

85

sign minus and now it is = -85

The regrouping column is used to carry numbers from the ones column to the tens column. In this case, there is a 1 that must be carried from the ones column to the tens column. The sum of 48 + 689 is 737.

A column is a vertical structure that acts as a support for a building or is used as a decorative object. It is commonly used in architecture and comes in many different styles, shapes, and sizes. Columns can be made from a variety of materials such as stone, marble, iron, and brass. They are often adorned with intricate carvings and detailed designs. Some ancient structures like the Parthenon in Athens, Greece, are famous for their impressive use of columns.

Hundreds

Tens

Regrouping

First Addend

Second Addend 6

Sum

4

8

Ones

7

7

The regrouping column is used to carry numbers from the ones column to the tens column. In this case, there is a 1 that must be carried from the ones column to the tens column. The sum of 48 + 689 is 737.

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hi

0.25m +0.25 = 25

0.25m =  24.75

     m =  24.75/0.25

    m = 99

conclusion : you can phone for  99 minutes

ANSWER:

x =- 4

y = 3

z = 2

STEP-BY-STEP EXPLANATION:

We have the following system of equations:

The first thing is to build the matrix from the system of equations, just like this:

We solve by the Gauss-Jordan method, thus:

Therefore, the solution of the system is x =- 4, y = 3 and z = 2

Answer:

10/-4 or 5/-2

Step-by-step explanation:

use y2-y1/x2-x1 equation.

Answer:

a. True

Step-by-step explanation:

A series in the field of mathematics is defined as the operation of adding up or summation of infinitely many quantities of terms of a sequence.  In other words, it is the sum of the terms of the sequence provided.

Another way of defining a 'series' is it is list of numbers with the "addition" operations between the numbers.

Thus the answer is (a). True

The function has a relative minimum at (-1.278, -0.509) and a relative maximum at (1.278, 2.509).

How to find  x-intercepts?

To find the x-intercepts, we set y = 0 and solve for x:

(x⁴/4) - x² + 1 = 0

This is a fourth-degree polynomial equation, which is difficult to solve analytically. However, we can use a graphing calculator or software to find the approximate x-intercepts, which are approximately -1.278 and 1.278.

To find the y-intercept, we set x = 0:

y = (0/4) - 0² + 1 = 1

So the y-intercept is (0, 1).

To find the vertical asymptotes, we set the denominator of any fraction in the function equal to zero. There are no denominators in this function, so there are no vertical asymptotes.

To find the horizontal asymptote, we look at the end behavior of the function as x approaches positive or negative infinity. The term x^4 grows faster than x^2, so as x approaches positive or negative infinity, the function grows without bound. Therefore, there is no horizontal asymptote.

To find the critical points, we take the derivative of the function and set it equal to zero:

y' = x³- 2x

x(x² - 2) = 0

x = 0 or x = sqrt(2) or x = -sqrt(2)

These are the critical points.

To determine the intervals where the function is increasing and decreasing, we can use a sign chart or the first derivative test. The first derivative test states that if the derivative of a function is positive on an interval, then the function is increasing on that interval. If the derivative is negative on an interval, then the function is decreasing on that interval. If the derivative is zero at a point, then that point is a critical point, and the function may have a relative maximum or minimum there.

Using the critical points, we can divide the real number line into four intervals: (-infinity, -sqrt(2)), (-sqrt(2), 0), (0, sqrt(2)), and (sqrt(2), infinity).

We can evaluate the sign of the derivative on each interval to determine whether the function is increasing or decreasing:

Interval (-infinity, -sqrt(2)):

Choose a test point in this interval, say x = -3. Substituting into y', we get y'(-3) = (-3)³ - 2(-3) = -15, which is negative. Therefore, the function is decreasing on this interval.

Interval (-sqrt(2), 0):

Choose a test point in this interval, say x = -1. Substituting into y', we get y'(-1) = (-1)³ - 2(-1) = 3, which is positive. Therefore, the function is increasing on this interval.

Interval (0, sqrt(2)):

Choose a test point in this interval, say x = 1. Substituting into y', we get y'(1) = (1)³ - 2(1) = -1, which is negative. Therefore, the function is decreasing on this interval.

Interval (sqrt(2), infinity):

Choose a test point in this interval, say x = 3. Substituting into y', we get y'(3) = (3)³ - 2(3) = 25, which is positive. Therefore, the function is increasing on this interval.

Therefore, the function is decreasing on the intervals (-infinity, -sqrt(2)) and (0, sqrt(2)), and increasing on the intervals (-sqrt(2), 0) and (sqrt(2), infinity).

To find the inflection points, we take the second derivative of the function and set it equal to zero:

y'' = 3x² - 2

3x² - 2 = 0

x² = 2/3

x = sqrt(2/3) or x = -sqrt(2/3)

These are the inflection points.

To determine the intervals where the function is concave up and concave down, we can use a sign chart or the second derivative test.

Using the inflection points, we can divide the real number line into three intervals: (-infinity, -sqrt(2/3)), (-sqrt(2/3), sqrt(2/3)), and (sqrt(2/3), infinity).

We can evaluate the sign of the second derivative on each interval to determine whether the function is concave up or concave down:

Interval (-infinity, -sqrt(2/3)):

Choose a test point in this interval, say x = -1. Substituting into y'', we get y''(-1) = 3(-1)² - 2 = 1, which is positive. Therefore, the function is concave up on this interval.

Interval (-sqrt(2/3), sqrt(2/3)):

Choose a test point in this interval, say x = 0. Substituting into y'', we get y''(0) = 3(0)² - 2 = -2, which is negative. Therefore, the function is concave down on this interval.

Interval (sqrt(2/3), infinity):

Choose a test point in this interval, say x = 1. Substituting into y'', we get y''(1) = 3(1)²- 2 = 1, which is positive. Therefore, the function is concave up on this interval.

Therefore, the function is concave up on the interval (-infinity, -sqrt(2/3)) and (sqrt(2/3), infinity), and concave down on the interval (-sqrt(2/3), sqrt(2/3)).

To find the relative extrema, we can evaluate the function at the critical points and the endpoints of the intervals:

y(-sqrt(2)) ≈ 2.828, y(0) = 1, y(sqrt(2)) ≈ 2.828, y(-1.278) ≈ -0.509, y(1.278) ≈ 2.509

Therefore, the function has a relative minimum at (-1.278, -0.509) and a relative maximum at (1.278, 2.509).

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Answer:

3 coins each row

Step-by-step explanation:

if you put 3 coins in 4 rows it we'll be equivalent to 12

Answer:

1/5764801

Step-by-step explanation:

7^-1 × 7^-7

= 1/7(7^-7)

= 1/7(1/823543)

= 1/5764801

The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

6

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

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Answer:

30 is 75% of 40

Step-by-step explanation:

We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75,  x = 40.

And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.

Hey there!

75% of ? = 30

75% of x = 30

75/100 * x = 30

75 ÷ 25 / 100 ÷ 25 * x = 30

3/4 * x = 30

MULTIPLY 4/3 to BOTH SIDES

4/3 * 3/4x = 4/3 * 30

CANCEL out: 4/3 * 3/4 because that gives you 1

KEEP: 4/3 * 30 because it helps solve for your answer

x = 4/3 * 30

SIMPLIFY IT

x = 40

Therefore, 75% of [40] = 30

Answer: 40

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)