8. Given the function h(x)=3^x,find the value of x such that h(x)=27
A. 1
B. 3
C. 2
D. 4​

The room that would stop Barry from hosting the event is the semicircular room.

Would the first rectangular room allow Barry have the meeting?

The first step is to determine the area of the room

Area of a rectangle = length x width

25 x 30 = 750 feet²

Number of people per square foot - 750 / 150 = 1 person for every 5 feet

Would the trapezoidal room allow Barry have the meeting?

The first step is to determine the area of the room

Area of a trapezoid = 1/2 x (sum of parallel sides) x height

1/2 x (24 + 36) x 28 = 840 feet²

Number of people per square foot = 840 / 150 = 1 person for every 5.6 feet

Would the square room allow Barry have the meeting?

The first step is to determine the area of the room

Area of a square = length x width

28 x 28 = 784 feet²

Number of people per square foot - 784 / 150 = 1 person for every 5.2 feet

Would the semi circular room allow Barry have the meeting?

The first step is to determine the area of the room

Area of a semicircle = 1/2πr²

Where:

r = 3.14

r = radius = diameter / 2 = 28 / 2 = 14 feet

1/2 x 3.14 x 14² = 307.72 feet²

Number of people per square foot - 307.72/ 150 = 1 person for every 2.05 feet

To learn more about the area of a semi circle, please check: https://brainly.com/question/23843388

#SPJ1

Answer:

The semicircle

Step-by-step explanation:

ewomazinoade's answer is correct, not sure why at time of writing the rating is so low for their answer (3.7).

See pic!

a. The current sale price for the computer system is given as follows: $618.4.

b. The amount paid by the club members, with the discount, is given as follows: $587.48.

The prices are found applying the proportions, which are the decimal equivalent of the percentages relative to each discount.

The selling price is of:

$773.

The markdown is of 20%, hence the current sale price is 100 - 20 = 80% of the selling price, hence:

0.8 x 773 = $618.4.

Club members get an additional discount, of 5%, meaning that they pay 95% of $618.4, and the amount is obtained as follows:

0.95 x 618.4 = $587.48.

The problem is given by the image presented at the end of the answer.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The equation that shows the relationship between the weight and number of months. y =  79.5 + 5.5x

In science and technology, the weight of an object is the force acting on an object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on an object. Others define weight as a scalar quantity, the magnitude of  gravitational force. Still others define it as the size of the reaction force applied to the body by mechanisms resisting the influence of gravity: weight is a quantity measured, for example, by a spring balance.

Given that ; Total Month = 11 months

Gained weight at the rate =  5.5 kilograms per month.

Assume initial weight W,

The initial weight + total month  x rate = 140

w + 11 x 5.5 = 140

w = 79.5

if y is total weight after x months

y = 79.5 + 5.5x

To learn more about weight, visit;

brainly.com/question/14375094

#SPJ1

Answer:

12ft

Step-by-step explanation:

Answer:

The kite is 15ft from the ground

Step-by-step explanation:

Answer: 240 cm

Explanation : the circumference of C is: 6 X 40=240

log 30+ log 6 is not equivalent to log 36

Equivalent expressions are expressions that perform the same function not with standing their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).

The original phrase is as follows

Log 36

Following that, we write the alternatives (a) log 2+ log 18

Apply the logarithmic rule log 2+ log 18 log (218)

Log 2 plus log 18 log (36)

Remove the bracket

Log 2 plus log 18 log36

(a) Log 2+ Log 18 is the same as log 36.

(b) Log 30 plus log 6

Use the logarithms’ law. 30 logs or more 6 logs (30 x 6)

Log 30 plus log 6 Equals log (180)

Remove the bracket

Log 30-plus log 6-log180

Hence,

(c) Log 30+log 6 does not equal log 36.

To learn more about equivalent expressions visit:

brainly.com/question/27911936

#SPJ4

Answer:

2 cube into 3 into 5 into 13 into 7

In order to find the negation of an expression we simply put the not operator in front of them . Therefore, the negation of ∃ is that â is not ^ to f.

The term negation means opposite , that is the negation of a statement is the opposite of the given mathematical statement. If we will take the example of P , let P be a statement, then the negation of P will be represented by ~P.

There are two  symbols which are  used to represent the negation of a statement which are “~” or “¬”. Therefore, ~P is known as the negation of P.

To learn more about negation

brainly.com/question/22787240

#SPJ4

Answer:

B. 1

Because of the shape you can have only one line of symmetry

Answer:

graph 1= 3. graph 2= -3

Step-by-step explanation:

the y-intercept is where it cuts the line

therefore,

graph 1=3

graph 2=-3

Answer:

Name as a person

Step-by-step explanation:

Answer:

In the name of a person.

Step-by-step explanation:

The seasons are not written with capital letters unless they form part of a name. For example:

I am leaving in the winter.

I live near Winter Mountain River.

Answer:The cost for each person is not always the same. It is not a linear relationship between number in group and cost in dollars. Since we have only 4 rows it's difficult to make an accurate prediction for cost of $50, In addition, we don't have any formula or equation that can represent this data set.

The best way to find out how many people will go to movie with $50 is by looking at the table.

So the answer is, We don't have any information that can give us a prediction of number in group for a cost of $50,

Step-by-step explanation:

Answer:

5 (x + 4)

Step-by-step explanation:

5x = 5 * x

20 = 5 * 4

5 is the only thing thye have in common, so we put 5 in front and add x + 4

5 (x + 4)

5(x+4) is the correct answer

Answer:

A

Step-by-step explanation:

Apply arithmetic operations on both sides of the equation to move the variable to one side and all other values to the opposite side.

Let's begin with a basic equation: x + 2 = 7.

How may x be obtained on its own?

x + 2 - 2 = 7 - 2 x = 5 after deducting 2 from both sides.

Put the solution, x = 5, back into the equation to confirm it. We get 5 + 2= 7.

Since LHS = RHS

In the triangle, find x.

Use triangle properties or the Pythagorean theorem to find the value of x, the unknown side or angle in a triangle.

Let's use an example to better understand how to solve for x in a triangle.

Using the Pythagorean theorem, we obtain AC2 = AB2 + BC2 where x2 = 72 + 242 x = 49 + 576 x = 625 x = 25 units.

To learn more about variable refer to:

https://brainly.com/question/30210023

#SPJ1

Answer:

I think a but I'm not sure

Answer: B

explanation: I took the test ^w^

If Nina babysat for 5 hours,  then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem

Two or more expressions with an Equal sign is called as Equation.

Given that Anna babysat 2 children on Saturday night.

She charges $8 an hour to babysit

She wants to save the money she earns babysitting to buy a stereo system that cost $225

If Nina babysat for 5 hours,  then we need to find how much money money did she earn.

8/225=5/x

Apply cross multiplication

8x=225(5)

8x=1125

x=1125/8

x=140.6=141

Hence, If Nina babysat for 5 hours,  then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

ne cheaso le uprenta singil layu ka bts dung lyr

Answer:How do you evaluate equivalent fractions?

Summary:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.

You only multiply or divide, never add or subtract, to get an equivalent fraction.

Only divide when the top and bottom stay as whole numbers.

Step-by-step explanation:

Solutions refers to the answer to the problem, The example of real solution can be the solution for the value of 'x' in a equation.

In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.

In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.

example:

x+2=0

x=-2

To learn more about solutions visit:

brainly.com/question/30109489

#SPJ4

Answer:

75 hope it helps you

thank you

Answer: To solve a division problem of the form a ÷ b = c, you need to find the value of c that makes the equation true. This means that if you multiply b by c, the result should be equal to a.

a) In the problem 3.2 ÷ 0.8 = ?, we are looking for the value of c that makes the equation true.

To solve this problem, we can multiply 0.8 by c to find the value of c that makes the equation true:

0.8 * c = 3.2

Dividing both sides of the equation by 0.8, we get:

c = 4

Therefore, the value of c that makes the equation 3.2 ÷ 0.8 = ? true is 4.

b) In the problem 7.5 ÷ 0.5 = ?, we are looking for the value of c that makes the equation true.

To solve this problem, we can multiply 0.5 by c to find the value of c that makes the equation true:

0.5 * c = 7.5

Dividing both sides of the equation by 0.5, we get:

c = 15

Therefore, the value of c that makes the equation 7.5 ÷ 0.5 = ? true is 15.

P.S. I don't need a brainliest, i am just happy that I am helping someone

Step-by-step explanation:

Answer:

1408 yards

Step-by-step explanation:

A horse walks 4224 feet in 12 minutes, so to find out how many yards the horse walks in twelve minutes, we need to convert 4224 feet to yards. Since there are 3 feet in a yard, we can divide 4224 by 3 to find the number of yards:

4224 feet / 3 feet/yard = 1408 yards

So a horse walks 1408 yards in 12 minutes.

Answer:

[tex]16\pi[/tex] [tex]cm^2[/tex]

Step-by-step explanation:

Area of a circle is equal to [tex]\pi r^2[/tex], where r is the radius

[tex]A=\pi r^2[/tex]

A diameter is twice the length of the radius. ([tex]8/2[/tex])

So the radius is 4 cm.

[tex]r^2=4^2=16[/tex]

so the Area is [tex]16\pi[/tex]

The number of machine fed copies are 25 and the number of hand fed copies are 55. This is solved forming simultaneous equations.

What are simultaneous equations?

Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations. These equations alone could have an infinite number of solutions.

Given cost per page of machine fed copies = $0.08

          cost per page of hand fed copies = $0.20

Let,

  number of machine fed copies = x

 number of hand fed copies = y

Given the total number of copies = 80

So we can write the equation as

  x + y = 80  ⇒   (1)

It is also given that the total cost of the movie script is $13

So we can the equation as

0.08x + 0.20y = 13 ⇒ (2)

Solving the simultaneous equations (1) and (2)

From (1),

x = 80 - y

Substituting the above in (2)

0.08(80 - y) + 0.20y = 13

0.12y = 6.6

y = 55

x = 80 - 55 = 25

Therefore the number of machine fed copies are 25 and the number of  hand fed copies are 55.

To learn more about simultaneous equations, follow the link.

https://brainly.com/question/148035

#SPJ4

Answer:

(-5, -1)

Step-by-step explanation:

Equation Form:

x = -5

y = -1

Answer:

Solve the System of Equations

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−5,−1)

Equation Form:

x= −5, y= −1