I need help ASAP!! thanks if you help <3

Step-by-step explanation:

Add

1/5+3/10=5/10

Find common denominator

1/5+3/10=1*2/5*3+3*1/10*1=2/10+3/10

10 is the least common multiple of denominators 5 and 10. Use it to convert to equivalent fractions with this common denominator.

Add

2/10+3/10=2+3/10=5/10

Simplify

5/10=1/2

5 is the greatest common divisor of 5 and 10. Reduce by dividing both the numerator and denominator by 5.

The simplified trigonometric expression [tex]\sqrt{(1 - \csc^2{(y)}){(\cos^2{y} - 1)}}[/tex] is given as follows:

[tex]\sqrt{(1 - \csc^2{(y)}){(\cos^2{y} - 1)}} = \cot{y}\sin{y}[/tex]

The trigonometric expression for this problem is defined as follows:

[tex]\sqrt{(1 - \csc^2{(y)}){(\cos^2{y} - 1)}}[/tex]

Then trigonometric identities are used to simplify the radicands of the rational expression.

The identity that uses the cossecant squared is given as follows:

csc²(y) = 1 + cot²(y).

Hence:

1 - csc²(y) = -cot²(y).

The identity that uses the cosine squared is given as follows:

sin²(y) + cos²(y) = 1.

Hence:

cos²(y) - 1 = -sin²(y).

Then the expression can be simplified as follows:

[tex]\sqrt{(1 - \csc^2{(y)}){\cos^2{y} - 1}} = \sqrt{-cot^2{y} \times -\sin^2{y}}[/tex]

As the product of two negative numbers is positive, we have that:

[tex]\sqrt{cot^2{y}sin^2{y}}

Taking the square root of each squared term, the simplified expression is given as follows:

cot(y)sin(y).

The problem asks for the simplified expression.

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The number of terms (n) in the sequence = 10.

We know that,

                      S = [tex]\frac{n}{2\\}[/tex] {2a + (n-1)d}

Where,

            S = Sum of A. P. series

            n = number of terms in A. P. series

            a = first term of the series

            d = common difference

According to the question,

           Sum of the series, S = 340

                         First term,  a = 7

         Common difference, d = 6

                  S = [tex]\frac{n}{2\\}[/tex] {2a + (n-1)d}

                  340 =  [tex]\frac{n}{2}[/tex] {2*7 + (n-1)6}

                  340 =  [tex]\frac{n}{2}[/tex] {14 + 6n - 6}

                  340*2 = n( 6n + 8)

                   680   = 6n^2 + 8n

        6n^2 + 8n - 680 = 0

        2 (3n^2 +4n - 340) = 0

            3n^2 +4n - 340 = 0

        3n^2 + 34n - 30n - 340 = 0

        n (3n+ 34) - 10 (3n + 34) = 0

        (3n + 34) (n - 10) = 0

   if we take, 3n + 34 = 0

                         3n = - 34

                           n = -34/3

which is not possible, as the number of terms can not be negative

   if we take, n- 10 = 0

                       n = 10

Hence, the number of terms in the given A. P. series is 10.

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ES = 10.63 units

The length of the line segment connecting any two points represents the distance between them. There is just one line that connects the two places. Therefore, by measuring the length of the line segment that connects the two sites, the distance between them may be determined.

When given a straight line on a graph, you can find the length of this line by using the Distance Between Two Points Formula. This formula uses the vertices of the beginning and ending points of a straight line to find the length of the line, which is the distance between the two points.

The Distance Between Two Points Formula is:

= √(( x₂  – x₁ )² + ( y₂ – y₁) ²)

The vertices of the line ES are E ( -3, -4 ) and S ( 4, 4 ).

The distance is:

= √(( 4  – (-3) )² + ( 4 ( - 4 )) ²)

= 10. 63 units

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Answer:

a)  The product of any two odd integers is an odd integer.

b)  The sum of two negative integers is always smaller than the smallest negative integer.

Step-by-step explanation:

Given:

Carry out a few examples to find a pattern:

Pattern:

Write the conjecture based on the found pattern.

Conjecture:  

Test the conjecture for accuracy using at least three sets of numbers.

Test:

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

Given:

Carry out a few examples to find a pattern:

Pattern:

Write the conjecture based on the found pattern.

Conjecture:  

Test the conjecture for accuracy using at least three sets of numbers.

Test:

Answer:

Step-by-step explanation:

Let the other diagonal be d.

From the Pythagorean theorem,

d2 = 82 + 1442

d2 = 64 + 20736

d2 = 20800

d = √20800

d = 144 cm

Answer:

8

Step-by-step explanation:

8 x 5 = 40

12 is the denominator because it represents the total number of times Nicanor selects a diving ring from the bag

Explaination:

Nicanor randomly selects a ring from the bag a total of 12 times. 3 times he selects a red ring, 4 times a yellow one, and 5 times a blue one.

When he selects a red ring, he selects it 3 times out of the 12 times total, which is represented as the fraction 3/12.

When he selects a yellow ring, he selects it 4 times out of the 12 times total, which is represented as the fraction 4/12.

When he selects a blue ring, he selects it 5 times out of the 12 times total, which is represented as the fraction 5/12.

Hope this helps you!

Therefore , the solution of the given problem of interest comes out to be

A = $3,130.37  is the amount after 15 years.

Simple interest is calculated by dividing the principal by the borrowing cost, the remaining time, and other elements. The simple return formula in marketing is principal + interest plus hours. Utilizing this method is the simplest way to calculate interest. As a percentage of the principle sum is the most frequent way to calculate income. For instance, he will only pay his portion of the 100% cost if he borrows $100 from a friend and agrees to pay the loan back with 5% interest.. You have to pay interest on money you borrow, and you have to charge interest on money you lend.

Here,

Given :  

a ) the equation that can be formed is

2500x - 1.5y = 30

b)

Using compound formula :

=> Then solve the equation for A

A = P(1 + r/n)nt

A = 2,500.00(1 + 0.015/12)(12)(15)

A = 2,500.00(1 + 0.00125)(180)

A = $3,130.37

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Answer: [tex]x=0, -\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}[/tex]

On solving the provided question we can say that quadratic equation is  y = 3x + 2x^2 => y = 14

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

here,

quadratic equation is

y = 3x + 2x^2

y = 6 + 8

y = 14

as x = 2

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The answer should be 4x(2x-3) so Renuka does not score full marks.

A number system is defined as a system of writing to express numbers.

The given expression is 8x²-12x.

To factorise this we have to find the highest common factors from both the terms.

Factors of 8 are 1, 2, 4, 8

Factors of 12 are 1, 2, 3, 4, 6,12

The highest common factor is 4.

So we have to take common 4 but Renuka has taken out 2.

So she does not got full marks.

The answer should be 4x(2x-3)

Hence, the answer should be 4x(2x-3) so Renuka does not score full marks.

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The total height of the building would be nh + 30.

Option (B) is correct.

What is a simplification in mathematics?

In mathematics, simplification refers to the process of making an expression or equation simpler or easier to understand or work with. This can involve combining like terms, removing unnecessary terms or factors, or rearranging the order of the terms.

The building's total height in feet is represented by the sum of the height of each floor plus the height of the spire.

So if the height of each floor is h, and there are n floors in the building and the building's spire is 30 feet, the total height of the building is:

= n * h + 30

=nh + 30

This is because the height of each floor is h, and there are n floors, so the total height of the floors is n * h. Adding the height of the spire, 30 feet, to the total height of the floors gives nh + 30.

Hence, the total height of the building would be nh + 30.

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The acccceleration will be 1m/s² and the average speed is 47m/s.

For the acceleration problems, you must draw a tangent on curved velocity-time graphs. Since it requested acceleration at t = 10 seconds, we must create a straight line that only touches the graph once, at 10 seconds.

Now, when drawing tangents, you must be as precise as you can because they can only contact the line once.

Next, determine the gradient using the tangent. You can accomplish this by creating a triangle out of two additional lines drawn from the tangent, then dividing the rise by the run, or Y/X. The triangle that comes before the Y and the X simply denotes the Greek letter delta, which symbolizes change. Change in Y so prevails over Change in X. So 10/10 = 1. So 1m/s^2.

If we estimate the speed at 5 seconds intervals, then we have

Average speed = (36 + 46 + 49 + 50 + 50 +50 + 50) ÷ 7

Average speed = 331/7 = 47.29 m/s

Average speed = 47 m/s

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Answer:

Step-by-step explanation:

4(x-2)+11=3(x+3)

Use distributive property to get rid of the parentheses

4x-8+11=3x+9

Simplify the addition and subtraction

4x+3=3x+9

subtract 3 on both sides and 3x on both sides to isolate x

x=6

Answer:

Step-by-step explanation:

To calculate how long it will take John to recover his investment, we need to divide the cost of the degree by the difference in income between the two options.

$10,000 / ($35,000 - $20,000) = $10,000 / $15,000 = 0.67 years or 0.67*12 = 8 months.

So, it will take John 8 months to recover his investment if he goes to school.

Please note that this is a simplified calculation as it does not take into account the cost of living, taxes, and other expenses.

Answer: 844000

Step-by-step explanation:

843857 = 844000 because you round up

The number of goodie  bags she will need to sell is 107.

Breakeven is when profit is zero. it is the point where total cost is equal to total revenue.

Breakeven: Total cost = total revenue

fixed cost + variable cost = price x quantity sold

fixed cost + (cost per unit  x quantity sold)

$250 + (1.25 x q) = 3.60 x q

$250 + 1.25q = 3.60q

In order to determine the value of q, take the following steps:

Combine and add similar terms :

$250 = 3.60q - 1.25q

$250 = 2.35q

Divide both sides o the equation by 2.35

q = 250/2.35

q =  106.3 = 107

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The total quantity of the three spices is 7/8

A recipe has three spices

1/8 teaspoon of turmeric

1/4 teaspoon of ginger

1/2 teaspoon of cumin

The total quantity of the three spices can be calculated as follows

1/8 + 1/4 + 1/2

= 7/8

Hence the total quantity of the three spices is 7/8

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Answer:

(125, -312500)

C(x) = -312500

Step-by-step explanation:

use this equation into a graphing calculator and use the minimum function

Answer:

Step-by-step explanation:

24²=24×24

Which is 576

Answer:

Step-by-step explanation:

Assuming that the same ratio of invitees to respondents holds true for the 30 additional HRDs, the best estimate of the number of people employed by the 30 organisations is 67.5 (30/45*100). This means that the total number of people employed by the 363 organisations represented by the 333 invited HRDs and the 30 additional HRDs is 5,475 (5,407.5 + 67.5).

Answer:

Book: Library is most similar in relation to the following word pair Water: Ocean. Both pairs are closely related and are often found together.

The area under the standard normal curve to the right of Z (3.15) = 0.0008

The total area under the standard normal curve happens to be 1 which is divided between two parts having an area under the curve = 0.5 on each side.

I.e. from 0 to the right side, the area under the curve = 0.5

Similarly, from 0 to the left side, the area under the curve = 0.5

Now, from the standard normal table,                                  

                                                          {the table is given in the attachment}

The area under the curve for the value of Z (3.15) = 0.4992

                                                                         {This value is the area under the curve from 0 to Z (=3.15)}

Hence, the Area under the curve to the right of Z (3.15) = 0.5 – 0.4992

                                                                                            = 0.0008

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For z = 3.15, the area under the standard normal curve is 0.99918365.

Normal distributions are symmetrical, bell-shaped distributions that are useful in describing real-world data.

The standard normal distribution, represented by the letter Z, is the normal distribution having a mean of 0 and a standard deviation of 1.

If {X} is a random variable from a normal distribution with mean {μ} and standard deviation {σ}, its Z-score may be calculated from X by subtracting μ and dividing by the standard deviation :

[tex]${\displaystyle Z={\frac {X-\mu }{\sigma }}}[/tex]

If {X} is the mean of a sample of size {n} from some population in which the mean is {μ} and the standard deviation is {σ}, the standard error is σ/√n :

[tex]${\displaystyle Z={\frac {{\overline {X}}-\mu }{\sigma /{\sqrt {n}}}}}[/tex]

If [tex]{\textstyle \sum X}[/tex] is the total of a sample of size {n} from some population in which the mean is {μ} and the standard deviation is {σ}, the expected total is nμ and the standard error is σ √n :

[tex]${\displaystyle Z={\frac {\sum {X}-n\mu }{\sigma {\sqrt {n}}}}}[/tex]

Given is the value of z = 3.15.

For z = 3.15, the area under the standard normal curve is 0.99918365.

Therefore, for z = 3.15, the area under the standard normal curve is 0.99918365.

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Answer:

Step-by-step explanation:

36 percent can be written as 36/100. So now the question is 36/100 x 28.

Its easier if you simplify 100 and 28 by a common factor, which im going to use 4 for. So instead you get 36/25 x 7.

36x7=252

252/25=10.08

Answer:

46.08

Step-by-step explanation:

Remember that a percent is always a fraction out of 100, in this case 36/100, so it can also be written as a decimal number, in this case 0.36. Now all you need to do is multiply 128*0.36

Answer:

5 people

Step-by-step explanation:

Relay race ---> 3/4 mile

Each runner runs 3/20 miles

3/4÷3/20

3/4×20/3=5

OR

3/4 --> 15/20

3/20 goes into 15/20 5 times

Answer:

5 runners

Step-by-step explanation:

Just multiply 3/20 by 3/4

We are aware that P = 2(a + b) units is the perimeter of a parallelogram.Consequently, the parallelogram's sides are 50 cm, 25 cm, 50 cm, and 25 cm.

We are aware that P = 2(a + b) units is the perimeter of a parallelogram.Adding up all four sides will reveal a parallelogram's perimeter.An area of a circle of radius r is known as r2 in geometry.

The circumference-to-diameter ratio, which is always the same and is roughly equivalent to 3.14159 in this context, is denoted by the Greek letter.

Let side a and the side next to it in the parallelogram be a and b, respectively.

The parallelogram's perimeter is equal to 2(a+b)=150, where a+b=75.

Since an is 25 cm taller than b, a=b+25.

By changing it in equation 1, b+25+b=75 2b=50 b=25 is obtained.

a+b=75\sa=75=25\sa=50

Consequently, the parallelogram's sides are 50 cm, 25 cm, 50 cm, and 25 cm.

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The profit for Mr Christopher is #1000.

Profit is the money that is earned in trade or business after paying the costs of producing and selling goods and services.

Given that, Mr. Christopher contributed #500 to a business, Miss Uche contributed #300 while Mrs. Amaka contributed #200, they share a profit #2000,

Let the ratio of their contribution = 5x : 3x : 2x

Therefore,

5x + 3x + 2x = 2000

10x = 2000

x = 200

Their profit share =

Mr. Christopher = 200 x 5 = 1000,

Miss Uche = 200 x 2 = 200

and

Mrs. Amaka = 200 x 3 = 600

Hence, the profit share of Mr. Christopher is #1000,

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