Can someone help me please thank you

Answer:

Step-by-step explanation:

5 bulbs in 30-day month will consume electricity:

The total cost is:

Total electricity consumed per day

Consumed in 30days

For 5bulbs

Cost

Answer: \(8\pi\)

Step-by-step explanation:

The period is \(\frac{2\pi}{1/4}=8\pi\).

Answer:

2/10

Step-by-step explanation:

-5+7=2, since the denominator stays the same.

2/10, simplified is 1/5

Answer:

2/10 or 1/5

Step-by-step explanation:

Because -5/10 and 7/10 both have 10 as the denominator we don't have to do anything about that, so you just add and simplify.

If you need me to go through it in depth let me know, but I hope that helps!

Have a great day!

Answer:

3*(7 + 2) = 3*7 + 3*2

Option 3

Step-by-step explanation:

Distributive property of multiplication over addition:

a*(b+ c) = (a*b ) + (a * c)

Answer:

Answer b

Step-by-step explanation:

because it is dp

The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

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Answer:

Step-by-step explanation:

true true false

The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:

Volume of solid A/Volume of solid B = a³/b³

or

Volume of solid A : Volume of solid B = a³ : b³

Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:

5³ : 3³

125 : 27

Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

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Answer:

Step-by-step explanation:

Let the students price = x

Let the teacher's price = y

34x + 3y = 635

34y = 299.54

y = 299.54 / 34

y = 8.81

The only way to do this is to assume that students and teachers are charged the same amount for admission. But the question should say so.

So x = y

37x = 635.66

x = 635.66 / 37

x = 17.18

So the total spent per student was

8.81 + 17.18 = 25.99

9514 1404 393

Answer:

Step-by-step explanation:

"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...

Fixed

"Variable" expenses are ones that change depending on circumstances. Those would include ...

Variable

Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

The solution to the system substitution is (x , y) = (-3,3).

Here it is given that,

y=-2 x -3 and y= 3 x + 12

Take y=-2 x -3 as equation 1,

y= 3 x + 12  as equation 2'

by equating both equations,

-2x-3=3x+12

-3-12=3x+2x

5x=-15

x=-15/5

 =-3

substituting the value of x in the equation1

y=-2x-3

y=-2(-3)-3

 =3

Hence, The solution to the system substitution is (x , y) = (-3,3).

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The collection of numbers given to x is termed the domain for the function y=x+2.

The range of numbers that we are permitted to enter into our function is known as the scope of a function. The x numbers for a function like f make up this collection.(x). A function's range is the collection of numbers it can take as input. After we enter an x number, the function outputs this collection of values.

The set of values assigned to x is called the domain of the function y=x+2. In other words, it is the set of all possible input values that can be plugged into the function to produce an output value.

In this particular function, since there are no restrictions on the set of values that x can take (i.e., any real number can be assigned to x), the domain is all real numbers. We can write this as:

Domain: {x | x ∈ ℝ} or simply Domain: ℝ

where the symbol "∈" means "is an element of" and "ℝ" represents the set of all real numbers.

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Mathematicians have used probability to determine how likely certain events are to occur. The possible values of  X will be 10, 0, -5 with following probabilities:

P(X = 10 ) = 0.23

P(X = 0 ) = 0.48

P(X = -5) = 0.29

Probability is the ability to happen. . From 0 to 1 is used to express the value. Whenever we are unsure of how an event will turn out, we can talk about the probabilities of various outcomes, or how likely they are. The study of probability-based events is often known as statistics. The amount of favorable outcomes and the overall number of outcomes thus affect how likely an event is to occur. The probability is typically expressed as a ratio between the number of positive outcomes and all of the outcomes in the sample space.

Given:

The probability distribution of X can be represented as:

X      P(X=x)

-5      0.29

0       0.48

10      0.23

The outcomes is attached as table below.

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The complete question is:

The table below to model the scenario is attached below:

we are given the following polynomials:

Adding the two expressions we get:

Associating like terms, that is, terms that have the same variable elevated to the same number we get:

Adding like terms:

An thus we get the sum of the expressions.

If  Its return on sales is 5 percent. Sharpe’s return on shareholders' equity is 8.26%.

First step is to find the fixed asset

Fixed asset = $1,870,000 + $667,000

Fixed asset = $2,537,000

Second step is to find the sales

Sales = Total assets × Fixed asset turnover

Sales =  $2,537,000 × 1

Sales = $2,537,000

Third step is to find the stockholder equity

Stockholder equity =  $1,870,000 - $335,000

Stockholder equity = $1,535,000

Fourth step is to find the net income

Net income =  $2,537,000 × 5%

Net income = $126,850

Now let find the return on shareholders' equity

Return on shareholders' equity = Net income / Shareholders' equity

Return on shareholders' equity =  $126,850 /$1,535,000

Return on shareholders' equity = 8.26%

Therefore 8.26% is the return on shareholders' equity.

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Answer:

--------------------------

Find the difference of the initial and used amounts:

Answer: (1,2)(2,2)

Step-by-step explanation:

The area of the rectangle is 1296 square feet.

Let's denote the width of the rectangle as "w" and its length as "4w" since the length is four times the width.

The formula for the perimeter of a rectangle is given by:

P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Given that the perimeter of the rectangle is 180 ft, we can write the equation as:

180 = 2(4w + w)

Simplifying the equation:

180 = 2(5w)

180 = 10w

w = 18

So, the width of the rectangle is 18 ft.

Now, we can find the length of the rectangle:

Length = 4w = 4(18) = 72 ft

The area of a rectangle is given by the formula:

\(A = l \times w,\)

where A is the area,

l is the length,

and w is the width.

Substituting the values we found:

Area \(= 72 ft \times 18 ft = 1296 ft^2\)

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Answer: False

Step-by-step explanation:

25% of the data is between Q1 and the median.

The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.  

To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.

The factor corresponding to x = 3 is (x - 3).

The factor corresponding to x = -4 is (x + 4).

The factor corresponding to x = 5 is (x - 5).

To obtain the polynomial, we multiply these factors together:

P(x) = (x - 3)(x + 4)(x - 5)

Expanding this expression gives us:

\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)

\(= (x^2 + x - 12)(x - 5)\)

\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)

\(= x^3 - 4x^2 - 17x + 60\).

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Equating the expressions, if Li Wei can read 30 pages in an hour and Colleen Henry 24 pages an hour, they will be on the same page in 6 hours.

Equivalent expressions are two or more algebraic expressions that have the same value when the variables are substituted with real numbers.

In this situation, we can determine the time that Li Wei and Colleen Henry can be on the same page by equating the expressions representing their reading rates.

The number of pages Li Wei can read in a week = 90

The number of pages Collen can read in a week = 126

Li Wei's reading rate per hour = 30 pages

Collen's reading rate per hour = 24 pages

Let the hours that Li Wei and Colleen can be on the same page= x

The total number of pages Li Wei can read = 90 + 30x

The total number of pages Colleen can read = 126 + 24x

For Li Wei and Colleen to be on the same, the two expressions are equated.

90 + 30x = 126 + 24x

6x =  36

x = 6

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Answer:

You don't have any listed but 0.8125 is 13/16 decimal form. 12/16, 13/13, 13/14 are all really close numbers to 13/16.

Answer:

The width of Jonesha's backyard is 45 feet.

Step-by-step explanation:

Given that Jones has made a scale of her backyard, which was 6 inches long and 9 inches wide, if the actual length was 30 feet, to determine the real width of her backyard, the following calculation must be performed:

1 ft = 12 inches

30 ft = 30 x 12 = 360 inches

360/6 = 60

Thus, the scale of Jonesha's backyard is 1:60. Therefore, the real width of the backyard of it arises from the following calculation:

(9 x 60) / 12 = X

540/12 = X

45 = X

Thus, the width of Jonesha's backyard is 45 feet.

a) 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers.

b)  2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.

It is a branch of mathematics that deals with the occurrence of a random event.

Using Binomial distribution,

\(P(x) = C_{n , x} * p^{x}* (1-p)^ {n-x}\)

We have, p= 0.52

A) probability that exactly 3 drivers text while driving if a police officer pulls over five drivers

\(P(x) = C_{5 , 3} * (0.52)^{3}* (0.48)^ {2}\)

P(x) = 10* 0.140608* 0.2304

P(x)= 0.3239

32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers.

B) probability the next driver texting while driving that the police officer pulls over is the fifth driver

\(P(x) = C_{4 , 0} * (0.52)^{0}* (0.48)^ {4}\)

P(x) = 1 * 1 * 0.053084

P(x) = 0.053084

So, 0.0531*0.52 = 0.0276

Hence, 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.

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Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

\(v = \pi {r}^{2} h \\ \\ \pi = \frac{v}{ {r}^{2}h } \)

I hope I helped you^_^

Answer:

x = 27°

Step-by-step explanation:

Hello!

Complementary angles add up to 90°.

Since angles A and B are complementary, we can sum up the equations to 90° and solve for x.

The value of x is 27°.

Answer:

y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.

Step-by-step explanation:

The inequality is y < 2x - 3 and the graph of the inequality is graph (a)

The inequality is given as:

y + 2x < 4x - 3

Subtract 2x from both sides of the inequality

y < 2x - 3

The above inequality uses the < symbol.

This means that the line of the inequality is a dotted line, it is shaded to the right and it crosses the y-axis at y = -3

Hence, the graph of the inequality is graph (a)

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