Evaluate the expression

Answer:

67.5 cm^3

Step-by-step explanation:

To find a rectangular prism volume, you just multiply height, width, and length. So you would multiply 2.5 * 4.5* 6 = 67.5 cm^3.

Answer:

x + 23 = 65

x = 42

She had 42 buttons to begin with.

Answer:

115%

Step-by-step explanation:

Given that,

The initial price of an item = $180

The final price of an item = $387

We need to find the percentage increase. It can be calculated as follows :

[tex]\%=\dfrac{\text{Change in price}}{\text{initial price}}\times 100[/tex]

Put all the values,

[tex]\%=\dfrac{387-180}{180}\times 100\\\\=115\%[/tex]

So, the required percentage increase is 115%.

Answer:

1 hour and 15 minutes.

Step-by-step explanation:

Average Hiking Speed is generally between 1 MPH to 3 MPH depending on how much hill (vertical gain) is involved, amoung other factors. Based on the plan you entered above TrailsNH estimates your average hiking speed to be closer to 1.5 MPH, or 3h 23m of moving time for a 5 mile hike up 2000 vertical feet of elevation gain. Compare that with Naismith's Rule which says your average hiking moving time is around 2h 36m.

I calculate Your Estimated Hiking Time by taking Naismith's Rule and applying an adjustment to match your plan. The adjustment (currently calculated as +30%) uses a sliding scale to add or subtract the effort involved. Your plan is currently set as: pace = Normal, treadway = Rough, and pack weight = Regular.

Naismith's Rule estimates hiking time on reasonably easy ground based on 19½ minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. For example: A 2 mile hike over a 500 foot hill, Naismith's Rule estimates will take 52 minutes. That is a pace of 26 minutes per mile, or an Average Hiking Speed of 2.3 miles per hour.

Book Time estimates hiking time in the mountains based on 30 minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. This is the estimate commonly used in guide books. For example: A 2 mile hike over a 500 foot hill, Book Time estimates will take 1 hour and 15 minutes. That is a pace of 37 minutes per mile, or an Average Hiking Speed of 1.6 miles per hour.

Answer:

a. (4, 13/6)

b. (4, -5/6)

c. (4,  5/6)

Step-by-step explanation:

sorry if it is not right.

Therefore , the solution of the given problem of trigonometry comes out to be c =6.

Trigonometry is a discipline of mathematics that examines relationships between triangles' angles and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.

Here,

Given :

In triangle LMN,

m∠L = (4c + 53)°.

∠L  = 87°

To find the value of c:

87° =  (4c + 53)°

=> 4c = 87-53

=> 4c = 24

=> c =6

Therefore , the solution of the given problem of trigonometry comes out to be c =6.

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Answer:

So you're given that 7% is $126, and you have to find 100%. In order to do this you could set up proportions. 

1) 126/7=x/100

Next you can cross multiply and you'll get:

2) 12600=7x

Now divide each side by 7

3)12600/7=7x/7

And simplify

4)1800=x

Solution: $1800

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

so 0.5x is a slope of 1/2, which is rise 1 | run 2, and b matches that!

Answer:

C≈31.42ft

Step-by-step explanation:

Solution

C=2πr=2·π·5≈31.41593ft

The United States' entry into World War I led to a rise in nationalism and patriotism, as well as a shift towards a more interventionist foreign policy. This had a lasting impact on the culture and international political policies of the country.

The United States' entry into World War I marked a significant shift in the culture of the country. Prior to the war, the United States had maintained a policy of isolationism, with a focus on avoiding involvement in foreign conflicts. However, the country's entry into the war marked a shift towards a more interventionist foreign policy, as the United States began to take a more active role in international affairs.

The complete program is

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

From the question, we have the following parameters:

The program that does this is:

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

See attachment for complete program and the output of the program execution

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Answer:

Ratio = 5:7

Step-by-step explanation:

2.5 :3.5

To simplify a ratio, we must find a common factor that easily divides them.

Both of them have a common factor of 0.5, so we divide each of them by 5

2.5/0.5 = 5

3.5/0.5 = 7

So, the final ratio we end up with is equal to 5:7.

I Hope this helps!

Answer:

I would say (option A)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values can be any number. Therefore, we have all real numbers as our domain:

→ A) x < 2.

Hope this helps!

The data provided in the table implies that Alonzo's Cycling should produce five or six bikes if it wants to maximize its profits.

Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.

This is because the sixth bike is the point at which the marginal revenue matches the marginal cost. The company will make $90 in profit with the sale of its fifth or sixth bike each day. After that, the profit begins to fall with each sale.

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The cost of the Bike wholesale after the markup is $236.25

From the question, we have the following parameters that can be used in our computation:

Bike wholesale = $189

Markup = 25%

The cost of the bike wholesale after the markup is then calculated as

Cost = Bike wholesale * (1 + markup)

Substitute the known values in the above equation, so, we have the following representation

Cost = 189 * (1 + 25%)

Evaluate the products

Cost = 236.25

Hence, the cost is $236.25

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Answer:

65 units

Step-by-step explanation:

Answer: just be positive

Step-by-step explanation:

Answer:

When using desmos I got y=x^{2}-4x+3 (the 2 is an exponent btw) I inserted a picture. I hope this helped

Step-by-step explanation:

9514 1404 393

Answer:

  B.  470 miles

Step-by-step explanation:

Using numbers rounded to the nearest 10, the remaining distance is ...

  1270 -420 -380 = 470 . . . . miles

Answer:

[tex] \sqrt{145} [/tex]

Step-by-step explanation:

I think you've been tricked 2 root 37 = root 148

Given: 140 students have I-Phones

Find: How many students have other types of phones

Variable: Independent variable- Survey, Dependent variable- Types of phones

Equation: 140 divided by 4

Solution: is

4/140

4/14= 3

4/20= 5

4/140 = 35

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I just want to write this just in case (you dont have to read this) Many people like myself have alot of problems with math, its really hard! Just keep on trying, I know that everybody says that but please take it into consideration. Work hard, have a nice day!

Answer:

(3 + x) ( a -2b)

Step-by-step explanation:

3a - 6b + ax - 2bx

3a + ax - 6b - 2bx

a(3 + x) - 2b (3 +x)

(3 + x) (a - 2b)

Answer:

(a-2b) (3+x)

Step-by-step explanation:

(3a-6b)+(ax-2bx)

(3a+ax)-(6b-2bx)

a(3+x)-2b(3+x)

(a-2b) (3+x)

Thanks

Hope it helps

Answer:

Sales Tax In Amount =$99

Total amount of purchase = $1899

Step-by-step explanation:

First, let's find sales tax price in amount(dollars)

(Total Amount)*(percentage of tax)/100=Tax in amount

(1800)*(5.5%)/100 = $99

Therefore, the sales tax in amount would equal to $99, which is the same as 5.5%.

Now, let's find the total price of the purchase.

$1800+$99= $1899

So, the total cost of the purchase would equal to $1899.

The price of the gold bracelet after adding sales tax is $1899 and sale tax is $99.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, the original price of  a gold bracelet is $1800 and there is a sales tax of 5.5% on it,

Sales tax = 5.5% of 1800

= $99

The total price = 1800 + 99 = $1899

Hence, The price of the gold bracelet after adding sales tax is $1899 and sale tax is $99.

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Answer:

2/15 6/15 8/15 9/15 12/15

Step-by-step explanation:

Answer: 2/15, 6/15, 8/15, 9/15, 12/15.

Step-by-step explanation:

Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:

8, 2, 9, 6, 12

Now rearrange from smallest to largest:

2, 6, 8, 9, 12

Now just put the denominators back in under the arranged numbers:

2/15, 6/15, 8/15, 9/15, 12/15

Words and their definitions:

Numerator: Top part of the fraction

Denominator: Bottom part of the fraction

a. The area of the parallelogram ABCD in this problem is given as follows: 24 units squared.

b. The fraction of the area of the parallelogram that is shaded is given as follows: 1/4. (option C).

The area of a parallelogram is given by the multiplication of the length of the base by the height, as follows:

Area = base x height.

The base and the height for this problem are obtained counting the number of dots, hence:

Hence the area is given as follows:

Area = 4 x 6

Area = 24 units squared.

The shaded region is composed by a triangle with base 4 and height 3, hence:

Area shaded = 0.5 x 4 x 3 = 6 units squared.

(formula for the area of the triangle).

Meaning that the fraction is given as follows:

6/24 = 1/4.

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