Find c if a=2.93 mi,b=3.95 mi and c=40.3 degrees C=Round your answer to 3 decimal places

The dance committee can hire the DJ for a maximum of 3 hours keeping the cost under control

DJ charges per hour = $125

Charges for assistance = $75

Budget by the committee = $450

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Let x represent the maximum number of hours to hire the DJ

Formulating the equation we get:

DJ charges per hour*Number of hours<= Required budget

125x + 75<=450

Solving the equation:

125x <= 375

x <=3

So, a maximum of 3 hours

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Answer:

Step-by-step explanation:

Ok this will go into decimals:

1,000/10,000: First delete the zeros as a simple way to solve these problems

SO:

1/10=0.1 as answer

Part a: The equation is y=-500x+3000

Part b: The prediction of sales is 2750 at a price of $6.5

The equation of a line is given by:

y=mx+b

In which

m is the slope, representing the rate of change.

b is the y-intercept, which is the value of y when x = 0.

Part a:

In this problem:

There are two points (6, 3000) and (8, 2000).

The slope is given by: Change in y/Change in x

m = 2000-3000/8-6

m = -500

Thus

y = -500x+b

Point (6,3000) means that when x=6, y=3000, which we use to find b.

3000 = -500(6)+b

3000=-3000+b

b = 6000

So, y = -500x+6000

Part b:

The sales are y when x = 6.5, thus:

y = -500(6.5)+6000

= -3250+6000

The prediction is 2750 sales with a price of $6.50.

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It will be valued less than £1000 after x = -0.8260748 years.

Based on the given conditions, formulate:

6700 × (1 - 28%) = 1000

Calculate the sum or difference:

6700 ×0.72ˣ = 1000

Reduce the greatest common factor on both sides of the equation:

67 × 0.72ˣ = 10

Divide both sides of the equation by the coefficient of variable:

67 × 0.72ˣ / 67 = 10 / 67

Rewrite as fraction:

0.72ˣ = 10 / 67

Convert exponential to logarithm form:

x = log°.₇₂ 10 / 67

Convert decimal to fraction:

x = log°₍₇₂/₁₀₀₎  10 / 67

After simplifying -

get the result:

x = -0.8260748

Hence , After x = -0.8260748 years will it be worth less than £1000.

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ANSWER

EXPLANATION

Given;

Convert from polar form to parametric form.

Here;

Answer:

6480

Step-by-step explanation:

6^4x5

Answer:

3750

Step-by-step explanation:

Hey there!
To solve this we must first make this into an equation

[tex]6x^4\\x=5\\6(5)^4\\6(625)\\3750[/tex]

To solve the exercise you can use the following properties of exponents and radicals

So, you have

By definition

So

Therefore, the correct answer is b. 1.

Result : 54

reminder = 0

[tex]1,728\div32[/tex]

Simplify the expression:

[tex]1,728\div32\\[/tex]

[tex]=54[/tex]

Hope this helps!

Answer: true

Step-by-step explanation:

Given the expressions:

these two expressions are not equivalent, since one is thrice a number and the other is a cubic number. We can see this if we write completely each expression:

thus, the expressions are not equivalent

Answer: 6

Step-by-step explanation:

20 (amount of muffins) - 2 (muffins left) = 18 (total in boxes)

18 ÷ 3 = 6

The sets that represents a Pythagorean triple is 33,44,55.

Pythagorean triple is used to find the side of a right angle triangle.

The Pythagoras theorem is represented as follows;

c² = a² + b²

where

Therefore, the Pythagorean triple must follow the principle : c² = a² + b²

Hence,

33² + 44² = 55²

1089 + 1936 = 3025

Therefore,  the Pythagorean triple is 33,44,55.

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The equation is 3x - 8 = 0.

So, 5 is a solution if we replace x by 5 and we get 0 on the left side of the equation.

Then, replacing x by 5, we get:

3x - 8 = 0

3*5 - 8 = 0

15 - 8 = 0

7 = 0

Since 7 is different from 0, 5 is not a solution.

Answer: 5 is not a solution

1. Liezl bought the total amount of meat = 118 / 12 kilograms.

2. Roel travel 3 kilometer.

3. Lan have 83/8 kilograms fruits.

4. Her father left 52 / 7 nylon.

5. The left cheesecake is 9 slices.

What is Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Now,

1. For first condition;

Amount of pork = 2 1/4 kilograms

Amount of chicken = 5 1/2 kilograms

Amount of beef = 1 1/3 kilograms

So, Total meat = 2 1/4 + 5 1/2 + 1 1/3

                      = 9/4 + 11/2 + 4/3

                      = 36/12 + 66/12 + 16/12

                      = 118 / 12

Thus, The total amount of meat = 118 / 12 kilograms.

2. Total distance cover by Roel = 1 1/2 + 1 1/2

                                                = 3/2 + 3/2

                                                = 6/2

                                                = 3 kilometer.

So, Roel travel 3 kilometer.

3. Kenneth and Lan have fruits = 20 kilograms.

Kenneth have fruits = 9 5/8 kilograms.

So, Amount of fruits does Lan have = 20 - 9 5/8

                                                       = 20 - 77/8

                                                       = (160 - 77) / 8

                                                       = 83 / 8 kilograms.

Thus, Lan have 83/8 kilograms fruits.

4. Father have nylon string = 17 3/7 m

And,  He gave 10 m of it for his brother’s fishing net.

So, Left amount of the nylon string = 17 3/7 - 10

                                                      = 122/7 - 10

                                                      = 122 - 70 / 7

                                                      = 52 / 7

Thus, He left 52 / 7 nylon.

5. Since, Althea have left in first cheesecakes = 5 slices

And, In second cheesecakes = 4 slices.

So, Total left cheesecake = 5 + 4

                                       = 9 slices.

Thus, The cheesecake is 9 slices.

Therefore,

1. Liezl bought the total amount of meat = 118 / 12 kilograms.

2. Roel travel 3 kilometer.

3. Lan have 83/8 kilograms fruits.

4. Her father left 52 / 7 nylon.

5. The left cheesecake is 9 slices.

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The answer is 40 + (- 63). Addition is a method of combining items and counting them as a single large group. In mathematics, addition is the process of combining two or more numbers.

In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Therefore,

         (- 25) + 12 = - 13

        40 + (- 63) = - 23

we get - 13 and -23 ,

-23 is lesser than -13

-23 < -13.

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Explanation:

The dunction is given below as

To figure out the half life,

The new mass of the decayed substance will be half that of the initial substance

By substituting the values, we will have

Apply exponent rules

Hence,

The final answer is

The condition for a group of paired values to be a function is that for each value of the independent variable exists one and only one value of the dependant variable.

In this case, A is the group of points that represent the independent variable, and B, the dependent variable.

As each value of A has one and only one value of B, f is a function from A to B.

The inverse is not true, as 6 would have 2 values (a and c) in the image (A).

A is the domain of the independent variable.

f is the function that transform the values present in the group A in some of the elements of the image, that is group B.

The conditions for that relation to be a function is that each of the values in the domain has one and only one value in the image.

Given

jenny mixed 4kg of mixed nuts containing 16% of peanuts with 12kg of mixed nuts containing 40% of peanuts .

Find

Percent in the new mixture of peanuts

Explanation

we are given 4kg of mixed nuts containing 16% of peanuts

Amount of quantity =

so,

and also 12kg of mixed nuts containing 40% of peanuts .

so,

so,total weight

let total mass pf mixture containing x % peanuts.

so,

Final Answer

Percent in the new mixture of peanuts = 34%

Answer:

Domain: [tex)(-\infty, \infty)[/tex]

Range: [tex][0, \infty)[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The current temperature is 48°F, in expected to drop 1.5°F each hour, then the hours per word 8 hours the temperature will be 36°F.

The current temperature is = 48°F.

It is expected to drop = 1.5°F each hour.

We can assume, temperature = 36°F

Let x hours the temperature will be 36°F.

Temperature is a measure of the average kinetic energy of the particles in an object. When the temperature increases, the motion of these particles also increases. Temperature is measured with a thermometer or a calorimeter.

Then,

48 - 1.5x = 36

It's expected to drop 1.5F per hour,

We can list the equation,

So,

We can write,

48 - 1.5x = 36

48 - 36 = 1.5x

We can sum or difference of the product,

1.5x = 12

x = 12/1.5

We can divide the products,

x = 8 hours

Therefore,

In expected to drop 1.5°F each hour, then the hours per word 8 hours the temperature will be 36°F.

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Answer:

The present temperature is 48°F; it is anticipated to decrease by 1.5°F every hour, reaching 36°F in 8 hours.

Step-by-step explanation:

48°F is the current temperature.

An hourly decrease of 1.5°F is anticipated.

We'll assume that it's 36°F.

The temperature will be 36°F in x hours.

The average kinetic energy of the particles in an object is measured by its temperature. The velocity of these particles likewise increases as the temperature rises. A thermometer or a calorimeter is used to determine the temperature.

Then,

48 - 1.5x = 36

It's expected to drop 1.5F per hour,

We can list the equation,

So,

We can write,

48 - 1.5x = 36

48 - 36 = 1.5x

We can sum or difference of the product,

1.5x = 12

x = 12/1.5

We can divide the products,

x = 8 hours

Therefore,

In expected to drop 1.5°F each hour, then the hours per word 8 hours the temperature will be 36°F.

D: {-5, -2, 1, 2}

R: {-4, 0, 3}

The relation is a function

Given:

5) Ordered pairs on a coordinate plane

To find:

the domain, range, and the type of relation

To determine the domain and range, we will list the ordered pairs:

(-5, 3), (-2, -4), (1, 0), (2, 3)

The first number in each pair represents the x values (domain), while the 2nd number in each pair represents the y values (range)

The domain: {-5, -2, 1, 2}

The range: {3, -4, 0, 3}

Rearranging and picking one of the repetitions:

The range: {-4, 0, 3}

For a relation to be a function, each input will have only one output.

None of the inputs appears more than once. Hence, each input has only one output. It is a function

IN THEVPLACE OF x in the EQUATION OF f(x) we find that x-4 is plugged in..

THIS brings us to a result that g(x) is accompanied by x-4

[tex]g(x) = x - 4[/tex]

and For f(x) it shows

[tex]f(x) = {x}^{3} + {x}^{ \frac{3}{2} } - 1[/tex]

SINCE THE POSITION OF THE X VALUES OF WHICH x-4 was plugged in has to be reserved.

PLEASE IF YOU DON'T UNDERSTAND MESSAGE ME QUICKLY.

Principal is $6000.

Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows $5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years. Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Given Data

Using simple interest formula,

| = $14,400

R = 8%

T = 30 years

I = [tex]\frac{PRT}{100}[/tex]

14400 = [tex]\frac{P(8)(30)}{100}[/tex]

[tex]\frac{14400(100)}{8(30)}[/tex] = P

P = 6000

Principal is $6000.

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Write both equations in standard form:

The first one is already written in standard form:

To write the second one in standard form, add 2x to both members of the equation:

Notice that if we divide both members of the first equation by 2, we get:

Then, the system of equations is equivalent to:

For the transitive property of equality, since both left members are the same, we can conclude from that system of equations that 8=4, which is false. Then, the system is inconsistent, since it leads to a contradiction.

Therefore, the answer is:

Step 1

Given;

Required; To find the area of the triangle

Step 2

State the area of a triangle

Answer;

In this problem, we want to approximate when a penny will hit the grownd after it has been dropped from the back of the bleachers.

Since we have been given a table, we can make a close estimate based on the y-values.

When the penny hits the ground, the value of y will be 0.

Notice on the table provided that the penny is going to reach 0 between the values of 0.6 and 0.7 seconds.

At 0.6 seconds, it has a distance of 0.236 meters from the ground.

At 0.7 seconds, supposing the penny went past hitting the ground, it was have a distance of

Since the penny is closer to 0 at the 0.6 s mark than the 0.7 s mark, we can say 0.6 seconds is when the penny will hit the ground.

Here is a graphic model of the penny moving toward the ground:

Answer:

Explanation:

Here, we want to solve the given inequality for u

What we have to do is to bring like terms together

We bring 8 to the right which causes a sign change

Mathematically, we have that as:

The fraction of whole pizza has both pepperoni and green peppers exists 1/2.

A number is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction exists less than the denominator.

Given that:

3/4 of the pizza contains pepperoni

2/3 of the pizza with pepperoni contains green pepper ;

The fraction of the whole pizza that contains both pepperoni and green pepper;

The fraction with pepperoni = 3/4

Fraction of whole with green pepper and pepperoni: 2/3 of 3/4

simplifying the above equation, we get

= 2/3 × 3/4

= (2 × 3) / (3 × 4)

= 6/12 = 1/2

Therefore, the fraction of whole pizza has both pepperoni and green peppers exists 1/2.

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