-2/3-(-3/5)+2/3-1/2 rational numbers solve

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x2+5x−10=x2+4

Step 1: Subtract x^2+4 from both sides.

2x2+5x−10−(x2+4)=x2+4−(x2+4)

x2+5x−14=0

For this equation: a=1, b=5, c=-14

1x2+5x+−14=0

Step 2: Use quadratic formula with a=1, b=5, c=-14.

x=

−b±√b2−4ac

2a

x=

−(5)±√(5)2−4(1)(−14)

2(1)

x=

−5±√81

2

x=2 or x=−7

Answer:

x=2 or x=−7

Answer:

x = 2 or x= -7

Step-by-step explanation:

We can use factorisation to solve this.

First, we shift all the variables to one side (see attachement)

Then, we need to find the value of x, which multiples to give -14 and adds together to give 5.

7 - 2 = 5

and 7 x (-2) = -14.

Now we factorize (group into brackets) to find the values of x.

We solve for x to find the final answer.

Answer:

D

Step-by-step explanation:

15/18 is 83 1/3

BTW do you go to RSM?

Answer:

D: 83 1/3%

Step-by-step explanation:

They won 15/18 games. 15/18 is 0.83333333333... Therefore, 83 1/3%.

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Given,

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.

Let s represent the truck's speed and (s+20) represent the car's speed.

to determine each vehicle's time

Time = Speed / Distance

truck time = 350/s

Time in an automobile is 350/(s+20)

Truck time - car time = 2 hours

So,

(350/s) - [350/(s+20)] = 2

LCM is s(s+20)

[350(s+20) - 350s]/s(s+20) = 2

Cross multiplying,

350(s+20) - 350s = 2s(s+20)

Simplifying the equation,

350s + 7000 - 350s = 2s² + 40s

Now, we have quadratic equation to simplify,

2s² + 40s - 7000 = 0

Dividing the equation by 2

s² + 20s - 3500 = 0

Factorizing,

s= 50

s= -70 (impossible because of the sign)

Hence the truck's speed is s = 50 km/h.

The speed of the car is s + 20 = 70 km/h.

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Answer first 8-5=3 3-2=1 5,1  is you answer kind sir mam or them

Step-by-step explanation:

For example, 0.56565656... is equivalent to 56/99

Any time you have a repeating pattern in the decimal digits, the number can be written as a fraction of two integers. Any repeating decimal is rational.

Answer:32222

Step-by-step explanation: i dont really think thats the answer, i just did it for the points

Answer:

40/100 × 800

council the zeros

40× 8/1

320

Answer:

20%

Step-by-step explanation:

8/40 =x%/100%

800%/40=40x%/40

20=x%

x=20%

Answer:

the first one is 23

the second 18

the third 4.7

Step-by-step explanation:

10-2+15 = 8+15 = 23

x³-9 = 3³-9 = 27-9= 18

6.5-n= 6.5-1.8= 4.7

Answer:

A = 2(7) + (1/2)(4)(4 + 9) = 14 + 26 = 40 m²

Answer:

0

Step-by-step explanation:

Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

1. B: the equation is always true

2. C (I'm pretty sure)

3. A: the equation is never true (y does not equal itself minus 4)

4. A: the equation is never true

Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.

The AAS congruence theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle. To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.

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Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.

The AAS congruence theorem

it states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle.

To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.

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To find the probability that the mean weight of 19 fish is between 16.1 and 20.6 lb, you would need to know the distribution of the weights of the individual fish. If the weights of the fish are normally distributed with a mean of 18.4 lb and a standard deviation of 2.5 lb, then you can use a normal distribution to find the probability that the mean weight of the 19 fish falls in the specified range.

How does probability work exactly?

Probability is calculated by dividing the total possible outcomes by the number of outcomes that are theoretically possible. Probability differs from odds in this regard. Calculating odds involves dividing the likelihood of a particular event by the likelihood that it won't occur.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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In Korea, tofu is typically offered during breakfast.

Describe breakfast.

The first meal of the day, known as breakfast, is often had in the morning. After an overnight fast, it is a crucial meal that gives the body and brain fuel. Protein and carbs are generally found in breakfast foods such eggs, bacon, oatmeal, toast, pancakes, yoghurt, cereal, and fruits. A nutritious breakfast may boost energy levels, jump-start the metabolism, and enhance focus and memory. A nutritious breakfast can also aid in lowering mid-day snacking and preventing overeating in the evening. Make sure to incorporate breakfast in your daily schedule since eating breakfast is crucial to living a healthy lifestyle.

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The compound interest for the given investment is approximately $15,043.98, rounded to the nearest cent.

To find the compound interest for an investment of $43,000 for 5 years at 6% compounded continuously, we use the formula:

A = P * e^(rt)

Where A is the future value, P is the principal amount ($43,000), e is the base of the natural logarithm (approximately 2.718), r is the annual interest rate (0.06), and t is the time in years (5).

A = 43,000 * e^(0.06 * 5)
A ≈ 43,000 * e^(0.3)
A ≈ 43,000 * 1.34986
A ≈ 58,043.98

Now, to find the compound interest, subtract the principal from the future value:

Interest = A - P
Interest = 58,043.98 - 43,000
Interest ≈ 15,043.98

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Answer:

19,188

Step-by-step explanation:

hope this helps ;)

Happy Pride Month!

Answer:

a≈13.27

Step-by-step explanation:

Context for variables

a= Side legth

A=Area

\(5\) ✅

Step-by-step explanation:

\(14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5\)

Note:-

\(\sf\purple{BODMAS\: rule.}\)

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)

Answer:

12.5

Step-by-step explanation:

14+6²÷(-4)

=14+6×6÷(-4)

=14+36÷(-4)

=50÷-4

=12.5

Answer:

A. n = 1/63

B. k = 13/3

C. g = 5

D. w = 21/17

Step-by-step explanation:

A. 9n = 15/7 - 2

9n = 15-14/7

9n = 1/7

n = 1/7 ÷ 9

= 1/7 × 1/9

n = 1/63

B. 1/3 = k - 4

1/3 + 4 = k

1+12/3 = k

13 /3 = k

k = 13/3

C. g - 2/5g = 3

5g-2g/5 = 3

3/5g = 3

g = 3 ÷ 3/5

= 3 × 5/3

= 15/3

g = 5

D. 3/7w + 2w = 3

3w+14w/7 = 3

17/7w = 3

w = 3 ÷ 17/7

= 3 × 7/17

= 21/17

w = 21/17

Answer:

A) is your answer = 23/40

Step-by-step explanation:

The value of the expression is -23/40.

None of the given option is correct.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

A fractional expression,

1/4-1/5+ -3/4+1/8,

Simplifying,

(1/4 - 3/4) + 1/8 - 1/5,

= (-20 + 5 -8) / 40

= -23/40

Therefore, the correct value is -23/40.

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Answer:

y=-1/2x-3

Step-by-step explanation:

Answer:

y = -1/2x -3

Step-by-step explanation:

so I got the slope of these two points: (-8,1) and (-6,0) which is:

y₂ - y₁  / x₂ - x₁ = (0-1)/(-6+8) = -1/2

then from the graph it is visible that the y-intercept is -3

so with both of this information:

y = -1/2x - 3

Answer:

yes, we can write zero in the form of p/q.

[example] that is 0/3, 0/5...

The surface area of the part of the plane \(z = 2 + 7x + 3y\) that lies inside the cylinder \(x^2 + y^2 = 4\) is \(\sqrt{59}\pi\).

To find the surface area of the part of the plane \(z = 2 + 7x + 3y\) that lies inside the cylinder \(x^2 + y^2 = 4\), we can set up a double integral over the region of the plane that lies within the cylinder.

First, let's find the bounds of integration for the double integral. Since the cylinder is defined by \(x^2 + y^2 = 4\), we can express \(y\) as a function of \(x\) or \(x\) as a function of \(y\). Let's solve for \(y\) in terms of \(x\):

\[y = \pm\sqrt{4 - x^2}\]

To find the bounds for \(x\), we need to determine the range of \(x\) values that satisfy the cylinder equation. Since the cylinder is centered at the origin and has a radius of 2, the bounds for \(x\) are \([-2, 2]\).

Now, we can set up the double integral to calculate the surface area:

\[S = \iint_D \sqrt{1 + \left(\frac{\partial z}{\partial x}\right)^2 + \left(\frac{\partial z}{\partial y}\right)^2} \, dA\]

Where \(D\) is the region of the plane that lies within the cylinder.

Using the given plane equation \(z = 2 + 7x + 3y\), we can find the partial derivatives:

\(\frac{\partial z}{\partial x} = 7\) and \(\frac{\partial z}{\partial y} = 3\)

Substituting these values into the surface area integral, we have:

\[S = \int_{-2}^{2} \int_{-\sqrt{4 - x^2}}^{\sqrt{4 - x^2}} \sqrt{1 + 7^2 + 3^2} \, dy \, dx\]

\[S = \int_{-2}^{2} \int_{-\sqrt{4 - x^2}}^{\sqrt{4 - x^2}} \sqrt{59} \, dy \, dx\]

\[S = \sqrt{59} \int_{-2}^{2} 2\sqrt{4 - x^2} \, dx\]

To evaluate this integral, we can make a substitution \(x = 2\sin \theta\):

\[S = \sqrt{59} \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} 2\sqrt{4 - 4\sin^2 \theta} \cos \theta \, d\theta\]

\[S = \sqrt{59} \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} 4\cos^2 \theta \, d\theta\]

\[S = \sqrt{59} \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} 2(1 + \cos 2\theta) \, d\theta\]

\[S = \sqrt{59} \left[2\theta + \frac{1}{2}\sin 2\theta\right]_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\]

\[S = \sqrt{59} \pi\]

Therefore, the surface area of the part of the plane that lies inside the cylinder is \(\sqrt{59}\pi\).

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For the hole in the above triangular, the area that we need is the area of the rectangular hole i.e length times breadth that is 3 × 2 = 6

Hence, 6 sq. ft. carpet will be needed

Answer:

5.5

Step-by-step explanation:

Answer:

268 increased by 75% of its value = 469

Step-by-step explanation:

hope this helps :))

The number when 268 is increased by 75%​ will be 469.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Let 'n' be the increased number. Then the equation is given as,

75% = [(n - 268) / 268] x 100

Simplify the equation, then we have

0.75 = (n - 268) / 268

n - 268 = 201

n = 201 + 268

n = 469

The number when 268 is increased by 75%​ will be 469.

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