13 divided by a sum of a number and 2. Put into an expression

Answer:

Step-by-step explanation:

Area = L * W

L = 1/2

Area = 5/16

5/16 = 1/2 * w    You could do this using decimals

5/16 = 0.3125

1/2 = 0.5

0.3125 = 0.5 * w

w = 0.3125/0.5

w = 0.625

w = 5/8

The other way is done by fractions

\(\frac{\frac{5}{16} }{\frac{1}{2} } = \frac{5}{16}*\frac{2}{1} =\frac{5}{8}\)

There are a couple of notes

Answer: 205.031(nearest thousandth)

or 205.03125

Step-by-step explanation:

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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Answer:

Step-by-step explanation:

1) 2x+ 4 = 10

2x = 6

x = 3 (3 is the answer)

2) we have to substitute y with 3 and z with 4

3.75*3 + 6.50*4 ≥ 50

11,25 + 26 ≥ 50

37.25 ≥ 50

so the answer is no, because the total will be $37.25

3)  12k + 2 < 12

12k < 10

k < 5/6

3/4 < 5/6  so the answer is true

4) we have to try the options

a)  3*4 + 4*2 + 6 = 26

12 + 8 + 6 = 26

26 = 26 (true)

b) 3*5 + 4*6 + 6 = 26

15 + 24 + 6 = 26

45 = 26 (false)

c) 3*4 + 4*3 + 6 = 26

12 + 12 + 6 = 26

30 = 26 (false)

d) 3*3 +4*5 + 6 = 26

9 + 20 + 6 = 26

35 = 26 (false)

so the answer is x=4 , y=2

5) 3a + 4 ≥ 13

3a ≥ 9

a ≥ 3

so the answer is {3,4.5,5}

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

Given

To find

We know that,

Let the third angle be ,'x'

then,

Hence,the third angle would measure 30°

Answer:

The scale factor is just the ratio like 3/15

little traingle/big triangle

Step-by-step explanation:

Answer:

it 632.321

Step-by-step explanation:

thank you

Answer:

2.159387742E199 This is the answer

Answer:

-3mn^3 and -5mn^3

Step-by-step explanation:

-3mn^3 and -5mn^3

Answer: -3mn^3 -5mn^3

Step-by-step explanation:

Answer:

146,160

Step-by-step explanation:

29*35 = 1015

1015*24*3*2

Your answer is 146,160

Answer:

146160

Step-by-step explanation:

(29×35)×(24×9)2=

(1015)×(72)2=

(73080)2=

146160

Answer:

c. 72

Step-by-step explanation:

you just have to see what is the lowest number the three denominators: 8, 9, 12, all go into

8 times 9=72 and 12 times 6=72, which makes answer choice C. &2 the least common denominator for the fractions 1/8, 2/9, and 3/12.

Answer:

c.72 he's right love you guys byeee you all welcome

Step-by-step explanation:

The person whose fruit salad will taste more melony is Genesis. The Option B is correct.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

We need to compute the melon percentage to determine whose fruit salad will taste more melony:

1. Ownen mixes 14 cups of melon and 3 cups of apple. The percentage for melon will be:

= 14/(3+14) × 100

= 82.3529411765

= 82.35%

2. Genesis mixes 6 cups of melon and 1 cups of apple. The percentage for melon will be:

= 6/7 × 100

= 85.7142857143

= 85.71%

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Therefore, Emily deposited £1573.20 in the account. Therefore, the annual interest rate on this account is 3.1%.

Percent, or percentage, is a way of expressing a number as a fraction of 100. It is often used to represent proportions or rates, particularly in finance, statistics, and science. For example, an interest rate of 5% means that for every $100 borrowed or invested, $5 will be paid as interest. Percentages are denoted with the symbol "%".

Here,

a) To find how much money Emily deposited in the account, we need to find the difference between the amounts in the account after 5 years and 6 years since there was no additional deposit or withdrawal.

Amount after 6 years - Amount after 5 years = Interest earned in 1 year

£1669.80 - £1621.50 = £48.30

Therefore, Emily earned £48.30 in interest in one year.

To find out how much money Emily deposited, we need to subtract the interest from the amount after 5 years:

Amount after 5 years - Interest earned in 1 year = Amount deposited

£1621.50 - £48.30 = £1573.20

b) To find the annual interest rate on this account, we can use the formula:

Interest = Principal × Rate × Time

where Interest is the amount earned in interest, Principal is the amount deposited, Rate is the annual interest rate as a decimal, and Time is the time period in years. In this case, we know that the Principal is £1573.20, the Interest is £48.30, and the Time is 1 year. We can rearrange the formula to solve for the annual interest rate:

Rate = Interest / (Principal × Time)

= £48.30 / (£1573.20 × 1)

≈ 0.031

To express this as a percentage, we multiply by 100 and round to 1 decimal place:

Rate = 0.031 × 100%

≈ 3.1%

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When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Answer:

34,320

Step-by-step explanation:

Answer:

  ∠Q

Step-by-step explanation:

The theorem tells you the largest angle is opposite the longest side. The longest side in triangle PQR is PR, which is opposite angle Q.

The largest angle is angle Q.

Answer:

 50593

Step-by-step explanation:

15 is the value of x that will make the linear equation true .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                            The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

x + 5= 20

X = 20 - 5

x = 15

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The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

-1.5

Step-by-step explanation:

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Answer:

\(16\frac{5}{22}\)

Step-by-step explanation:

To solve this problem, we can create an hour to mile ratio

hour : miles

22 : 357

Divide by 22 on both sides to find how many miles you walk per hour

1 : \(16\frac{5}{22}\)

You walk \(16\frac{5}{22}\) miles per hour.

Hope this helps :)

Have an awesome day!

Answer:

option (b)

Step-by-step explanation:

h(4)=7(4+3)^2-14x4

7x49-56=343-56=287

The value of h(4) is 287

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

h(x) = 7(x + 3)² – 14x

Now, at x=4

h(4) =  7(x + 3)² – 14x

= 7(4 + 3)² – 14*4

= 7(7)² – 56

=49*7-56

=343-56

= 287.

Hence, the value of h(4) is

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Theres a number of passes to purchase

Normal price (without pass) is $6

If Seth goes to all 30 movies without pass he will spend

30x6 = $180 dollars

WITH the pass Seth have $30 dollars , then dividing by 2 , this means he can go to 30/2 = 15 movies in summer with pass

Then remains another 15 movies that he can vo WITHOUT PASS

in this 15 movies Seth spends 15x6= $90 dollars

add this to the $30 spent in the other 15 movie

it gives 30+90 = $120 dollars

Finally substract

$180- $120= $60 dollars he can save

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

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