5(14-2)²÷2 I need help

Answer:

‎

Step-by-step explanation:

Answer:

y=2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

im not a spoiler

The Length is 5 inches and the Breadth is 15 inches

What is Perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.

Solution:

Perimeter of Rectangle = 2*(Length + Breadth)

According to the question

Breadth = 3*Length

Perimeter = 40

40 = 2*(Length + 3*Length)

20 = 4*Length

Length = 5 inch

Breadth = 15 inch

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Answer:

Hello your question has some missing parts below is the missing part

A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute  

answer :

Step-by-step explanation:

The rate of change of the radius of the sphere is not constant even though dv/dt is constant is because ;

and this is because  dr/dt is proportional to  1/r^2 therefore the rate of change of the radius cannot be constant even though dv/dt is constant

\(let \: x \: be \: the \: length \\ let \: y \: be \: the \: width\)

\(perimeter = 2x + 2y \\ area = xy\)

\(2x + 2y = 80 \\ xy = 380 \\ \\ x + y = 40 \\ xy = 380 \\ \\ x = 40 - y \\ (40 - y)y = 380 \)

\(40y - y {}^{2} = 380 \\ y {}^{2} - 40y + 380 = 0 \\ y {}^{2} - 40y + 400 = 20 \\ (y - 20) {}^{2} = 20 \\ y - 20 =± \sqrt{20} \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721\)

Answer:

The original price of the shirt is simply the sum of the purchased price and the discount price, that is:

original price = $17.55 + $5.85

original price = $23.40

The equation that best model this scenario is:

x - 5.85 = 17.55

where x is the original price

Step-by-step explanation:

Proportional reasoning can be used to solve a problem in which one quantity is a constant multiple of the other.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Proportional reasoning is the reasoning based on the cognition that a relationship exists between the multiples of the variables in the problem, such that the magnitude of a variable can implied from the changes made to the relationships connecting the variables.

An example of proportional reasoning is the distance travelled, d, after a given time, t, at a constant velocity, v;

d = v·t

To judge the distance travelled, a constant, v,  multiplies the time, t, such that, at a longer time, it can be reasoned that the distance travelled is much further.

Therefore, proportional reasoning can be used to solve a problem in which one quantity is a constant multiple of the other.

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Step-by-step explanation:

x = -3, y =4

so, first we combine the fitting terms, and then we use these values in the expression in place of the variables.

-12x + 5y + 18x - 3y + 6 = 6x + 2y + 6

6×-3 + 2×4 + 6 = -18 + 8 + 6 = -4

1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x

2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x

3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1

4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x

5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x

6.  When we simplify cos x + sin xtan x, the result obtained is sec x

We can simplify the trig identities as follow:

1. Simplification of sec² x + tan² xsec² x

sec² x + tan² xsec² x = sec² x(1 + tan² x)

Recall

sec² x = 1 + tan² x

Thus,

sec² x(1 + tan² x) = sec² x × sec² x

sec² x(1 + tan² x) = sec⁴x

Therefore, the simplified is written as

sec² x + tan² xsec² x = sec⁴x

2. Simplification of (sec² x - 1) / sin² x

(sec² x - 1) / sin² x

Recall,

sec² x - 1 = tan² x

Thus,

(sec² x - 1) / sin² x = tan² x / sin² x

Recall

tan² x = sin² x / cos² x

Thus,

tan² x / sin² x = (sin² x / cos² x) / sin² x

tan² x / sin² x = 1/ cos² x

Recall

1/ cos² x = sec² x

Therefore, the simplified expression is written as:

(sec² x - 1) / sin² x = sec² x

3. Simplification of (1/sec² x) + (1/csc² x)

(1/sec² x) + (1/csc² x)

Recall

sec² x = 1/cos² x

Thus,

cos² x = 1/sec² x

Also,

csc² x = 1/sin² x

Thus,

sin² x = 1/csc² x

Therefore, we have

(1/sec² x) + (1/csc² x) = cos² x + sin² x

Recall

cos² x + sin² x = 1

Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:

(1/sec² x) + (1/csc² x)  = 1

4. Simplification of (sec x / sin x) - (sin x / cos x)

(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x

Recall

sec x = 1/cos x

sinx sinx = sin² x

Thus,

(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x

(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x

Recall

1  - sin² x = cos² x

Thus, we have

[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x

[1 - sin² x] / sinx cos x = cos x / sin x

Recall

cos x / sin x = cot x

Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:

(sec x / sin x) - (sin x / cos x) = cot x

5. Simplification of (1 + sin x)(1 - sin x)

(1 + sin x)(1 - sin x)

Clear bracket

1 - sin x + sin x - sin² x

1 - sin² x

Recall

1 - sin² x = cos² x

Thus, we have

(1 + sin x)(1 - sin x) = cos² x

6. Simplification of cos x + sin xtan x

cos x + sin xtan x

Recall

tan x = sin x / cos x

cos x + sin xtan x = cos x + sin x (sin x / cos x)

cos x + sin xtan x = cos x + (sin² x / cos x)

cos x + sin xtan x = (cos² x + sin² x) / cos x

Recall

cos² x + sin² x = 1

cos x + sin xtan x = 1 / cos x

1/cos x = sec x

Thus,

cos x + sin xtan x = sec x

The simplified expression of cos x + sin xtan x is sec x

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The Surface Area of cylinders are: 100 yd² , 264 m², 226  mm²

The Surface Area of Can is 219 cm².

We know the formula for Surface Area of Cylinder

= 2πrh

1. Radius = 2 yd

Height = 8 yd

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 2 x 8

= 100 yd²

2. Radius = 7 m

Height = 6 m

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 6 x 7

= 264 m²

3. Radius = 3 mm

Height = 12 mm

So,  Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 3 x 12

= 226  mm²

4. Radius = 3.5 cm

Height = 10 cm

So, Surface Area of Can

= 2πrh

= 2 x 3.14 x 3.5 x 10

= 219 cm²

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1 times 2 is equal to 2.

Multiplication is a mathematical operation that combines two numbers (known as "factors") to produce a third number (known as the "product"). It is represented using the symbol "x" or the asterisk (*).

For example, consider the multiplication of the numbers 2 and 3:

2 x 3 = 6

Here, 2 and 3 are the factors, and 6 is the product. Multiplication is a type of arithmetic operation that can be used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.

In summary, multiplication is a mathematical operation that combines two numbers to produce a third number, and it is represented using the symbol "x" or the asterisk (*). It is an important operation in mathematics, used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.

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Answer:

d four

Step-by-step explanation:

How many solutions does the nonlinear system of equations graphed below have?  

Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.  

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.

Glad I can help!!!

Answer:

688

Step-by-step explanation:

Assuming that the car stays at exactly the same speed for all 8 hours then the equation you should use is 86 x 8=688.

If satisfied leave a review to let me know how I did and feel free to give brainiest.

Answer:

688 kilometers.

Step-by-step explanation:

im not sure what unit analysis is, but you would multiply 8 and 86. kilometer per hour. soo yeah lol 8×86=688. you would be able to travel 688 kilometers. you Don't have to give me brainliest lol but I hope that this helps :)

Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.

The function that estimates the median weekly earnings n years after 1980 is:

W = 13n + 231.

2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:

W = 13 x 33 + 231 = 660.

657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.

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Answer: put it in a caculator

Step-by-step explanation:

Combine 18x^3 and 5x^3.

Combine x^2 and 6x^2.

Combine 9x and −14x.

Add −3 and 11.

The Matchings are:

A ratio or figure stated as a fraction of 100 is called a percentage.

Let 3 be x% of 22.

x% of 22 = 3

22x = 300

x= 13.63%

So, 3 is 13.63% of 22.

Let 22 be y % of 164.

y% of 164 = 22

164y= 2200

y= 13.41%

So, 13.41% of 164 is 22.

4% of 22 = 0.88

then, 4/100 x 22 = 0.88

Let 8 is 22% of z.

22z/100 =8

z= 36.36

5% of 22 = 1.1

= 5/100 x 22

= 1.1

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Answer:

There are 10 males and 18 females in the Data Management class. To form a committee of 5 students with at least 2 males, we can use the combination formula. The number of ways to choose k items from a set of n items is given by the formula nCk = n! / (k! * (n-k)!).

The number of ways to choose 2 males and 3 females is (10C2) * (18C3) = 45,360.

The number of ways to choose 3 males and 2 females is (10C3) * (18C2) = 81,680.

Therefore, there are a total of 45,360 + 81,680 = 127,040 different committees of 5 students that can be formed if there must be at least 2 males.

Answer:

5216.844

Step-by-step explanation:

Let x be the fourth number.

We know that the sum of the four numbers is 20500:

2341.578 + 10690 + x + 2341.578 = 20500

Simplifying and solving for x:

x = 20500 - 2341.578 - 10690 - 2341.578

x = 5216.844

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

\(28.1-1.96\frac{4.7}{\sqrt{40}}=26.64\)    

\(28.1+ 1.96\frac{4.7}{\sqrt{40}}=29.56\)    

We are confident at 95% of confidence that the true mean for the mpg is between 26.64 and 29.56. And since the lower limit from the confidence interval is highert than 25.8 then we can conclude that we have a significant increase from 1975

Step-by-step explanation:

Information given

\(\bar X= 28.1\) represent the sample mean

\(\mu\) population mean

\(\sigma =4.7\) represent the population standard deviation

n=40 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\(\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\)   (1)

The Confidence level is is 0.95 or 95%, the significance would be \(\alpha=0.05\) and \(\alpha/2 =0.025\), and we can calculate the critical value using the normal standard distribution and we got \(z_{\alpha/2}=1.96\)

And replacing we got:

\(28.1-1.96\frac{4.7}{\sqrt{40}}=26.64\)    

\(28.1+ 1.96\frac{4.7}{\sqrt{40}}=29.56\)    

We are confident at 95% of confidence that the true mean for the mpg is between 26.64 and 29.56. And since the lower limit from the confidence interval is highert than 25.8 then we can conclude that we have a significant increase from 1975

Step-by-step explanation:

\(sinθ = \frac{3}{5} \: \: cosθ = \frac{4}{5} \\ now \\ tanθ = \frac{sinθ}{cos θ } \\ = \frac{3}{5 } \div \frac{4}{5} \\ = \frac{3}{5} \times \frac{5}{4} \\ = \frac{3}{4} \)

Hope it will help :)❤

Step-by-step explanation:

probabilities are always

desired cases / totally possible cases

24 cans in total, 4 of them are diet, therefore 20 of them are regular.

2 cans are picked.

for the first can

the probability to pick a diet can is

4/24 = 1/6

the probability to pick a regular is

20/24 = 5/6

a)

to pick 2 diets, the first one has to be diet.

that leaves 23 cans with 3 being diet.

so, the probability for the second can being diet too is

3/23.

as combined event the probability to pull 2 diet cans is

1/6 × 3/23 = 1/2 × 1/23 = 1/46 = 0.02173913...

≈ 0.0217

b)

now the same for picking 2 regular cans.

the first one has to be regular :

5/6

that leaves for the second one 23 cans and 19 of them regular

19/23

combined this gives the probability

5/6 × 19/23 = 95/138 = 0.688405797...

≈ 0.6884

this is not unusual.

what would be considered "usual" or "unusual" ?

c)

one of them is diet, and one of them is regular.

the simple answer ?

it is the only other option, when the cans are not of the same type. it is the opposite of the sum of a) and b).

so, it is

1 - 0.688405797... - 0.02173913 = 0.289855072...

≈ 0.2899

but what to do, if we want to calculate it directly ?

it is the case that either

1. the first can is diet and the second can is regular,

or

2. the first can is regular and the second can is diet.

case 1.

the first can is diet = 1/6

leaving 23 cans with 20 being regular

the second can being regular = 20/23

together

1/6 × 20/23 = 1/3 × 10/23 = 10/69 = 0.144927536...

case 2.

the first can is regular = 5/6

leaving 23 cans with 4 diets.

the second can being diet = 4/23

together

5/6 × 4/23 = 5/3 × 2/23 = 10/69 = 0.144927536...

in an "exclusive or" situation we can add the probabilities.

so, the probability of having exactly one can diet and exactly one can regular is

0.144927536... + 0.144927536... = 0.289855072...

≈ 0.2899

we were correct in the first place !

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

a = 10.0¯6

I hope this helps!

Answer: It would cost $47.3 to fill the same tank in 2010

Step-by-step explanation:

In 1970

Total cost to fill the tank = $6

Cost per capacity of tank = $0.36

Capacity of tank = Total cost / Cost per capacity of tank

Capacity = 6/0.36

Capacity = 16.6

Therefore

In 2010

Cost per capacity of tank = $2.84

And we now know it capacity = 16.6

Total cost to fill the tank = 2.84 * 16.6

Total cost = $47.3

Hope this helps have a awesome day ❤️✨

Answer:

43

Step-by-step explanation:

31+12=43

Therefore adding 43 to -31 should give the answer 12.

Hii!

____________________________________________________________

Answer:

43

Step-by-step explanation:

We can find an answer to this question by setting up an equation.

-31+x=12

x is the unknown amount we should add to -31 to obtain 12.

Now, to solve it for the variable, x, we need to add 31 to both sides.

Upon doing this we obtain.

x=43

∴, 43 should be added to -31 to get 12

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Hope that this helped! Best wishes.

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1) the supply and demand schedule for Blue-ray movie "Frozen is attached accordingly.

Equilibrium price and quantity are $20 and 40 units respectively.

2) At a price of $30, quantity demand  and supplied are 20 and 60 units respectively

This is an example of supply surplus.

To get the price back to equilibrium, they have to setthe price at $20 /unit

3) at $10 the quantity demand and supplied are 60 units and 20 units respectively.

This is an example of supply shortage.

increasing the price to $20 per unit will help achieve equilibrium.

Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.

Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.

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