11/x = 13/17 round answer to the nearest tenth

\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)

Answer:

the first one is x= 6-3y or if you are going to solve with the y it will be y =2 - x/3

the second one if you are solving for x it will be x= 2/3 + y if you are solving for y it will be x = 2/3 + x

Step-by-step explanation:

hope this helps

x = 6 - 3y....... equation 1

6x -6y = 4

or, 6 (6 - 3y) - 6y = 4

or, 36 - 18y - 6y = 4

or, 36 - 24y = 4

or, 36 - 4 = 24y

or, 32/24 = y

or, 4/3 = y

Answer:

4.5

Step-by-step explanation:

Probably too late for your RSM homework, but here is the solution:

6/(9-x) [Time they motored upstream] +6/x [Time it took the bottle to get back to the starting point] = 8/3 [Total Time]

Simplify to 54/(x(9-x))=8/3

Cross multiply: 162=(8x)(9-x)

Simplify -x^2+9x=20.25

Multiply both sides by negative one and move 20.25 to the other side. x^2-9x+20.25=0

Solve and get 4.5 :D!

Answer:

Step-by-step explanation:

The gradient or slope of a line is defined as

m=(y2-y1)/(x2-x1), we have points (-8,6) and (3,8)

m=(8-6)/(3-(-8))

m=2/11

The intersection (enjoys games and plays a sport) is 22.

So, the probability is (52+37-22)/100 = 0.67.

A. The probability that the chosen student enjoys video games or plays an organized sport is the sum of the two probabilities minus the intersection.

The number that enjoys video games is 21+31=52.

The number that plays a sport is 22+15=37.

The intersection (enjoys games and plays a sport) is 22. So, the probability is (52+37-22)/100 = 0.67.

B. P(Enjoys playing video games/does not play an organized sport) represents the conditional probability that a student enjoys playing video games given that the student does not play an organized sport.

C. To find P(Enjoys playing video games/does not play an organized sport), we use the number of students who enjoy video games and do not play sports, which is 31, divided by the total who do not play sports, which is 32+31=63.

So, the probability is 31/63 ≈ 0.492.

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\(\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)\)

Answer:

Intrest =P*R*T/100

\(50000 \times 4 \times 5 \div 100 \\ = 50 \times 5 \times 4 \\ = 250 \times 4 \\ = 1000\)

AMOUNT AFTER 1 YEAR,

=50000 +1000

=51000

HE WITHDREW 10000

SO

51000-10000

41000

\(14800 \div 41000 \\ = 0.360\)

Answer:

  x = 8

Step-by-step explanation:

The angle with the expression in it is complementary to the 30° angle, so is 60°. Then we have ...

  4 +7x = 60

  7x = 56 . . . . . . subtact 4

  x = 8 . . . . . . . . .divide by 7

Answer:

The answer is -15x+30/7

Step-by-step explanation:

First: -5×3 is -15x

Then: You change the negative sign to a positive sign.

Last: You put 30/7

The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

9514 1404 393

Answer:

  x = -25/3

Step-by-step explanation:

Multiply by the inverse of the coefficient of x. Reduce the fraction.

  (-5/2)(10/3) = (-5/2)(x/(-5/2))

  -50/6 = x = -25/3

Answer:

-25/3

Step-by-step explanation:

the other person is also correct. khan said so

Answer:

no

Step-by-step explanation:

you have done your part by helping in their study session,if you help them cheat you will suffer the consequences if he/she is caught,

This is an academic integrity violation because it is against honesty rules, the best would be to offer assistance to your friend.

Academic integrity encompasses principles of honesty, fairness, and trustworthiness in academic pursuits. It generally includes a commitment to originality and independent work. Assisting someone in completing an exam, especially a take-home exam, where individual effort and understanding are expected, would likely violate academic integrity policies.

Handling the situation ethically and responsibly would involve respecting the academic rules and ensuring fairness for all students. Instead of directly completing the exam for your friend, you can offer assistance by explaining concepts, providing guidance on problem-solving approaches, or reviewing their completed work to identify errors or areas for improvement. This way, you can help your friend learn the material and develop their own understanding, without compromising academic integrity.

Encourage your friend to seek additional help from their professor, teaching assistants, or tutoring services provided by the institution. They can also engage in group study sessions or form study groups with classmates, which promote collaborative learning while maintaining individual effort.

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Answer:

6

Step-by-step explanation:

So you want to round both denomaters to what they can mutiply to so it will be 6 so the 4 1/2 will be 4 3/6 and the 2 2/3 will be 2 4/6. Then you multiply to get 6

Answer:

A.

The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.

A translation of the equation for the surface area of this rectangular prism is given by: SA = 2(WH + LW + LH).

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:

SA = 2(WH + LW + LH)

Where:

In this context, we can reasonably and logically deduce that a translation of the equation for the surface area of this rectangular prism is given by:

SA = 2(WH + LW + LH).

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Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

2x-41= -23

2x= 18

x=18/2

x=9

hope it helps

Answer: maturity value = $17816.67

Explanation:

The formula for calculating simple interest is expressed as

I = PRT

where

I is the interest

P is the principal or initial amount

R is the interest rate

T is the time in years

From the information given,

P = 17104

R = 12.5% = 12.5/100 = 0.125

We would convert 4 months to years. Recall

12 months = 1 year

4 months = 4/12 = 1/3

Thus, the interest is calculated as follows

I = 17104 x 0.125 x 1/3 = 712.67

maturity value = principal + interest

maturity value = 17104 + 712.67

maturity value = $17816.67

Answer:a minimum of 15 weeks to about 30 weeks.

Step-by-step explanation:

Answer:

24 and 45

Step-by-step explanation:

Okay, now that I can answer this question with the right answers:

The easy way to do this is to first solve the left hand side of the equation.

1/2 of 12 is the same as 12/2 = 6.

So 6 = 1/4 * x

To solve for that unknown x, just multiply both sides by 4 to cancel out the fraction:

6*4 = 4* 1/4*x

24 = x

For the other equation, do the same thing:

1/3 * 90 = 90/3 = 30

30 = 2/3*x

30*3 = 3* 2/3 *x

90 = 2x

90/2 = 2x/2

45 = x

6% of a + 10% of (9000 - a) = 790

a = 2750

(9000 - a) = 6250

The amount invested at 6% is 2750.

The amount invested at 10% is 6250.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total amount = $9000

Let the part invested for 6% = a

Let the part invested for 10% = (9000 - a)

Now,

6% of a + 10% of (9000 - a) = 790

6% = 6/100 = 0.06

10% = 0.1

0.06a + 0.1(9000 - a) = 790

0.06a + 900 - 0.1a = 790

-0.04a = 790 - 900

0.04a = 110

a = 110/0.04

a = 2750

Now,

9000 - a = 9000 - 2750 = 6250

Thus,

The amount invested at 6% is 2750.

The amount invested at 10% is 6250.

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The area of the triangle is 52.32 square units

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

The triangle (see attachment)

The base of the triangle is calculated as

base = 12 * tan(36)

The area of the triangle is then calculated as

Area = 1/2 * base * height

Where

height = 12

So, we have

Area = 1/2 * base * height

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

Area = 1/2 * 12 * tan(36) * 12

Evaluate

Area = 52.32

Hence, the area of the triangle is 52.32 square units

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Therefore, the volume of the composite figure is 105 cubic inches.

In physics and mathematics, volume refers to the amount of space occupied by a three-dimensional object or region. It is a measure of the size of an object in three dimensions, and is typically expressed in cubic units, such as cubic meters, cubic feet, or cubic centimeters. The volume of an object can be calculated using a formula that is specific to the shape of the object. For example, the volume of a cube can be calculated by multiplying the length, width, and height of the cube, while the volume of a sphere can be calculated using the formula 4/3 x π x r^3, where r is the radius of the sphere. The concept of volume is important in many fields, including architecture, engineering, and science, as it is used to calculate the amount of space that an object or substance occupies, and to determine quantities such as mass and density.

Here,

To find the volume of the composite figure, we need to find the volume of each rectangular prism and add them together.

The volume of a rectangular prism is given by the formula V = l*w*h, where l is the length, w is the width, and h is the height.

For Prism A, V = (7)(3)(2) = 42 cubic inches.

For Prism B, V = (3)(3)(7) = 63 cubic inches.

The total volume of the composite figure is the sum of the volumes of the two prisms:

V_total = V_A + V_B

= 42 + 63

= 105 cubic inches

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Work Shown:

The green triangle in the back has height 2.6 and an unknown base x. Half of this is x/2, which I'll call y. So y = x/2.

The green triangle in the back is split along the vertical dotted line to get two right triangles. The base of each right triangle is y = x/2.

Use the Pythagorean theorem to find y. Use that to find x

a^2+b^2 = c^2

y^2+(2.6)^2 = (3.2)^2

y^2 + 6.76 = 10.24

y^2 = 10.24 - 6.76

y^2 = 3.48

y = sqrt(3.48) .... apply square root

y = 1.8654758 approximately

x/2 = 1.8654758

x = 2*1.8654758

x = 3.7309516 also approximate

The base of the triangle is roughly 3.7309516 meters

We can now find the area of one green triangle

area of triangle = base*height/2 = 3.7309516*2.6/2 = 4.85023708

two triangles have approximate area 2*(4.85023708) = 9.70047416

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

So far we've only considered the triangular faces. There are 3 more faces which are the rectangular sides. These are known as the lateral sides.

One way to get the lateral surface area is to multiply the perimeter of the triangle by the depth of the prism

perimeter of triangle = (side1)+(side2)+(side3)

perimeter = 3.7309516 + 3.2 + 3.2

perimeter = 10.1309516

lateral surface area = (depth)*(perimeter)

lateral surface area = (8.26)*(10.1309516)

lateral surface area = 83.681660216

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

The last step is to add this lateral surface area onto the area of the two triangles to get the full surface area

surface area = (triangular area) + (lateral surface area)

surface area = (9.70047416) + (83.681660216)

surface area = 93.382134376

surface area = 93.382 square cm

Answer:

Answer will be zero , since the value of x and y are zero and any value multiply with zero will be zero only .

Answer: 7xy + 2x^2t

Step-by-step explanation: