5q greater than or equal to 8q -3/2

green orange and purple

The length of the base is 10 and the length of each leg is 20.

In order to find this, we can start by making the length of the base x. Now we know that the legs are twice as long, which would make them 2x. Since there are two of them, we can add x + 2x + 2x and set equal to 50 to find the value of x.

x + 2x + 2x = 50

5x = 50

x = 10

Now we can plug this in for our leg length as well to find that.

2x = Leg

2(10) = Leg

20 = leg

8×80= 640

640/32= 20.

your answer is 20 minutes

The perimeter of a polygon is calculated by adding up the lengths of all its sides. In the case of a regular polygon (all sides equal), it's the length of one side times the number of sides. To answer the specific question, each side must be measured and added up.

In mathematics, the perimeter of a polygon is the sum of the lengths of its sides. If the polygon has all equal sides, like a square or regular hexagon, you just multiply the length of one side by the number of sides. If not, you have to add up the lengths of all the sides individually.

For example, if we have a triangle with sides 3, 4, and 5 units long, the perimeter would be 3+4+5 = 12 units. Or, for a square with each side 4 units long, the perimeter would be 4*4 = 16 units. Without seeing the actual polygon in your question, I can't provide the exact perimeter, you’d need to measure each side and add them together or use a formula if it’s a regular shape with equal sides.

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Final answer:

To find the hikers' average speed, we use the difference in distance and time between two groups, yielding an average speed of 3.3 miles per hour.

Explanation:

To solve the problem of how fast the hikers are going, we need to calculate the average speed using the distance covered by Sally's group and the time difference between the two groups. The formula for average speed is Average speed = Total distance ÷ Total time.

Let's denote the average speed as v, the distance covered by Marks' group as d (which is the same as Sally's since they start at the same point and hike at the same speed but for different periods), and their respective times as t1 for Marks' group and t2 for Sally's group.

Given:

Sally's group covers 7.7 miles more than Mark's group

t1 = 2.5 hours and t2 = 4.7 hours

Equation: Since they have the same speed, Mark's distance d plus 7.7 miles equals the speed v multiplied by t2 (Sally's hiking time). So, d + 7.7 = v × t2. Also, because speed is constant, v = d ÷ t1. Combining these, we get v = 7.7 ÷ (t2 - t1).

Solution: Substitute the given values into the formula, v = 7.7 ÷ (4.7 - 2.5)

Answer: v = 3.3 miles per hour.

Hello!

To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.

Since we are given two points, we can use those two points to find two different equations.

Remember that ordered pairs are written as (x, y).

A(-2, 4)

y = -3x + b

4 = -3(-2) + b

4 = 6 + b (subtract 6 from both sides)

-2 = b

A) Therefore, the equation of the first ordered pair is y = -3x - 2.

B(5, 2)

2 = -3(5) + b

2 = -15 + b (add 15 to both sides)

17 = b

B) The equation of the second ordered pair is y= -3x + 17.

Final answers:

Answer:

I got this problem wrong and to all the people out there you are solving for B on both of them

Thank you have a good day.

Step-by-step explanation:

Answer:

Not a right triangle.  See below for my reasoning.

Step-by-step explanation:

If this is a right triangle, then the sum of the squares of the two shorter sides will equal the square of the longest side:  7^2 + 9^2 = 11^2 => 49 + 81 = 121   But this is false.

Answer:

It's not a right triangle, because already 7^2 = 7x7 which is 49 so...

Step-by-step explanation:

i believe the answer would be 40 miles

the easy way to do it is to look at it as 5 miles for 1/8 gallon of gas and 1 whole gallon is 8/8 so multiply 5 *8=40

40 miles on 1 gallon of gas

Remark

Drawing that diagram was a very good idea. If you can picture something happening, you are half way there. I tend to use a table, but the diagram will come to the same thing.

                  Olivia                    Dawn

Start            176                         80

Donate         x                             x      Subtract

What's left   176 - x                  80 - x

Equation

176 - x = 5*(80 - x)     Olivia had 5 times as many books as Dawn did.   Remove the brackets.      

Solution

176 - x = 400 - 5x                 Add 5x to both sides

176 + 5x - x = 400                  Combine terms on the left

176 + 4x = 400                    Subtract 176 from both sides

4x = 400 - 176                     Combine terms on the right.

4x = 224                              Divide by 4

x = 224/4    

x = 56                                 Answer

Answer:

7c^2

Step-by-step explanation:

I'm assuming you meant "9c^2 - 4c^2 + 2c^2."  This comes to:

(9 - 4 + 2)*c^2, or 7c^2.

The temperature at the start (2:00 AM) is -6°C

It furthered decreased by 8°C

-6 - 8 = -14

(B) -14°C is your answer

~Senpai

Answer:

No it doesn't represent a function since  x = 5  produces  y = 2  and  y = 3

So the answer is B. No, because one x-value corresponds to two different y-values.

If B is the midpoint of AC, then |AB| = |AC|.

|AB| = 3x + 2

|BC| = 5x - 10

Therefore we have the equation:

3x + 2 = 5x - 10     |subtract 2 from both sides

3x = 5x - 12      |subtract 5x from both sides

-2x = -12      |divide both sides by (-2)

x = 6

The measure of line segment AC is 40 units.

Given that, B is the midpoint of AC.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

Since, B is the midpoint of AC, we get

AB=BC

⇒ 3x + 2 = 5x - 10

⇒ 5x-3x=2+10

⇒ 2x=12

⇒ x=6

So, AC=AB+BC

= 3x + 2 + 5x - 10

= 8x-8

= 8(x-1)

= 8(6-1)

= 40 units

Therefore, the measure of line segment AC is 40 units.

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72 people.

50 x 3 = 150

24 x 3 = 72

Andrew is wrong The mat is only 100 times bigger than the unit, hope this helps :D

Answer:

[tex]\displaystyle \frac{d}{dx} = 6(2x + 9)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

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

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

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = (2x + 9)^3[/tex]

Step 2: Differentiate

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

Unit: Differentiation

Final answer:

The statement that every relation is a function is false, as a function requires each input from the domain to be associated with exactly one unique output in the range, unlike a general relation which can associate a single input with multiple outputs.

Explanation:

A function is a special type of relation where each element in the domain is paired with exactly one unique element in the range. This specificity is illustrated by considering a relation that contains ordered pairs sharing the same first element but with different second elements; such a relation cannot be a function since it violates the definition that each input (domain) must be associated with a unique output (range).

On the other hand, if a relation has pairs where the second elements (outputs) are the same but the first elements (inputs) are distinct, it still qualifies as a function. This is because the foundation of a function's definition pertains solely to the uniqueness of mapping from the domain to the range, without regard to the uniqueness of the range itself.

I believe its A, since the absolute value brackets are used to show how far away a number is from 0. All of the other answers are correct, but A makes the most sense here.

Answer:

a

Step-by-step explanation:

:D

Answer: - 1/2 = - 0.5

Explanation:

1. Make the sequence clear. These are the given points (x,y):

2. The average rate of change only takes into account the last and the first pairs of your intervals, those are (5, 1) and (-1, 4).

Average rate of change = [change in y] / [change in x] = [1 - 4] / [5 - (-1) ] =

  = - 3 / 6 = - 1/2 = - 0.5  ← answer

The averate ratre of change is the slope of the line that joins the first and last points. The fact that the result is negative means that there was a net decrease of the values.

The answer to your question is,

5.

-Mabel <3

For this case, we have the following expression:

[tex]3x ^ 6yz + x ^ 4y ^ 2 + 2xz ^ 5-6x ^ 2y ^ 3-7y\\[/tex]

Where for example, 3x ^ 6yz represents a polynomial term that consists of:

3: Represents the coefficient of the term

x, y, z: Represent the associated variables

6: Represents the exponent associated with the variable x. (y, z have exponent 1)

Therefore, the expression has 5 terms.

Answer:

Option c

it is the identity property because it states that 2+4=2+4 and 2+4 will always equal itself, 2+4

another example of this would be 5=5

The correct option is A.

The property for the given statement "2 + 4 = 2 + 4" is the Addition Property of Equality.

The property demonstrated in the given statement "2 + 4 = 2 + 4" is the addition property of equality. Here's why:

A. **Addition Property of Equality**: This property states that if you add the same number to both sides of an equation, the equality remains true. In the given equation, both sides are identical, with 2 + 4 on each side. Therefore, adding the same quantity (in this case, zero) to both sides keeps the equation true.

B. Distributive property involves multiplication and addition, which is not applicable here.

C. Multiplication Property of Equality involves multiplication, which is not present in the given equation.

D. Subtraction Property of Equality is not relevant since there is no subtraction involved in the given equation.

So, the correct option is A. Addition Property of Equality.

The complete question is here:

Name the property for the given statement.

2 + 4 = 2 + 4

A. addition property of equality

B. distributive property

C. multiplication property of equality

D. subtraction property of equality

You could remove 3,11)

Answer:

34.78 feet

Step-by-step explanation:

1) using the cosine function, I did cos(43)=x/51

This is because cosine is equal to adjacent over hypotnuse

Once I found x, I used the pythagorean theorem to get 34.78 feet

That equation has no solutions.

Answer:

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Answer:

y=0.15x + 77.00

Step-by-step explanation:

I did it on edge that is the correct answer promise.

Tenemos.

Total paginas = 24

Lo que hace Marta = 24/2 = 12

Mara hace 12 paginas

Lo que hace Juan = = 24/3 = 8

Lo que hace Juan es 8 paginas

La fraccion de lo que hizo Marta

12/24 = 1/2

La fraccion de lo que hizo Juan = 8/24 = 1/3

La fraccion de lo que hicieron los 2:

1/2 + 1/3 =

3/6 + 2/6 =

(3 + 2)/6 =

5/6

Lo que hicieron los 2 es 5/6 de 24

Les queda por hacer.

1 - 5/6 =

6/6 - 5/6 =

(6 - 5)/6 =

1/6

Les falta por hacer 1/6 de 24

Las pagina que quedan por hacer son:

24 - 12 - 8 = 4

Faltan por hacer 4 paginas

To find out how much vegetable oil Michelle will use, you need to multiply 2 1/2 by 2/3, giving us approximately 1 2/3 cups. The rest will be substituted with applesauce which is approximately 5/6 cups.

In this scenario, Michelle has a recipe that requires 2 1/2 cups of vegetable oil. She wants to use only 2/3 of the total vegetable oil, and use applesauce for the rest. To find out how much vegetable oil she will use, you need to multiply 2 1/2 by 2/3.

But before that, you need to convert 2 1/2 into an improper fraction, where 2 1/2 is equivalent to 5/2. So, the total amount of vegetable oil Michelle will use can be calculated as follows: (5/2) *(2/3) = 10/6 = 5/3 cups.

This means Michelle will use approximately 1 2/3 cups of vegetable oil. To find out the rest of the substitute in applesauce, simply subtract 1 2/3 from 2 1/2. This equals to approximately 5/6 cups of applesauce.

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Michelle will use 1 2/3 cups of vegetable oil for her recipe and replace the remaining amount with 5/6 cup of applesauce.

Michelle needs to calculate the amount of vegetable oil to use if she wants to use 2/3 of the amount specified in the recipe, and then find how much applesauce to replace the rest of the oil. The original recipe calls for 2 1/2 cups of oil. Firstly, calculate 2/3 of 2 1/2 cups:

Convert 2 1/2 to an improper fraction, which is 5/2.

Multiply 5/2 by 2/3 to find 2/3 of the mixture, which equals (5/2) × (2/3) = 5/3, or 1 2/3 cups.

This is the amount of vegetable oil Michelle will use. Now for the applesauce:

Subtract 1 2/3 cups from 2 1/2 cups to find the amount to replace with applesauce: 2 1/2 - 1 2/3 = 5/2 - 5/3 = 15/6 - 10/6 = 5/6.

Michelle will use 1 2/3 cups of vegetable oil and 5/6 cup of applesauce.

[tex]\dfrac{k}{4}\geq1\qquad|\cdot4\\\\k\geq4\\\\\dfrac{k}{3}\leq-1\qquad|\cdot3\\\\k\leq-3\\\\k\leq-1\ or\ k\geq4[/tex]

[tex]6\leq x+6\leq11\qquad|-6\\\\0\leq x\leq5[/tex]