What is the value of x?

Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13

Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

Answer:

3.47

Step-by-step explanation:

Answer: 199π/180

Step-by-step explanation:

The formula for converting degrees to radians is \(x\)°·\(\frac{\pi }{180}\)

In this case, that gives you \(\frac{199\pi }{180}\). 199 is a prime number, so this can't be simplified down any further.

Also, the formula for converting radians to degrees is just the opposite: you multiply your radian measure by \(\frac{180}{\pi }\) to cancel out pi.

Hope this helps :)

Answer:

5-6 people needed fieoshshdudhsbsbz

Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.

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The unit digits multiplies by 2 is 9 less than three times the tens digits, and reversing the digits is 45 more than the original number indicates;

The tens digit is the digit in the tens place value of a number.

Let x and y represent the digits in the two digit number, where;

x = The tens digit (The digit in the tens place value)

y = The units digit

The specified two digit number, can therefore be expressed as; 10·x + y

2·y - 9 = 3·x...(1)

Part of the possible question, includes;

The value obtained by reversing the digits is 45 more than the original number, therefore, we get;

10·y + x  = 10·x + y...(2)
The question is a word problem question, therefore;

y = (3·x + 9)/2

10 × ((3·x + 9)/2) + x = 45 + 10·x + ((3·x + 9)/2)

16·x + 45 = 45 + (23·x + 9)/2

16·x = (23·x + 9)/2

32·x = 23·x + 9

32·x - 23·x = 9

9·x = 9

x = 9/9 = 1

x = 1

y = (3 × 1 + 9)/2 = 6

y = 6

The original number is therefore; 1 × 10 + 6 = 16

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Answer:

16 Inches

Step-by-step explanation:

An Isosceles Triangle has two equal sides. A line drawn from the altitude to the base (where the base is the third unequal side) divides the base into two equal parts.

Therefore, the right triangle formed by this problem is a right triangle with a base of 12 inches. We are required to calculate the height, h of the right triangle.

(b)Using Trigonometric ratios

\(\tan 53^\circ =\dfrac{h}{12}\\ $Cross multiply\\h=12 \times \tan 53^\circ\\h=15.9 \approx 16$ Inches\)

Answer:

32

P = 100 × 32%(0.32) = 32

Answer:

32

Step-by-step explanation: You multiply 100 by 0.32 which is 32% as a decimal

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

108

Step-by-step explanation:

4×5² + 1×5¹ + 3×5⁰

4×25 + 5+ 3×1

100+5+3

Using the binomial distribution, it is found that there is a 0.0008 = 0.08% probability that she will get a passing score.

For each question, there are only two possible outcomes, either she answers it correctly, or she does not. The probability of answering a question correctly is independent of any other question, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

A passing score is at least 13 correct, thus, the probability is:

\(P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)\)

Then

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

\(P(X = 13) = C_{18,13}.(0.3333)^{13}.(0.6667)^{5} = 0.0007\)

\(P(X = 14) = C_{18,14}.(0.3333)^{14}.(0.6667)^{4} = 0.0001\)

The others, until P(X = 18), will be approximately 0, thus:

\(P(X \geq 13) = P(X = 13) + P(X = 14) = 0.0007 + 0.0001 = 0.0008\)

0.0008 = 0.08% probability that she will get a passing score.

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Partial fractions:

\(\displaystyle \frac1{(n^2-1)^2} = \dfrac14 \left(\frac1{n+1} - \frac1{n-1} + \frac1{(n+1)^2} + \frac1{(n-1)^2}\right)\)

Now evaluate the sums. The first two terms form a telescoping sum,

\(\displaystyle \sum_{n=2}^\infty \left(\frac1{n+1} - \frac1{n-1}\right) = \sum_{n=1}^\infty \left(\frac1{n+2} - \frac1n\right) \\\\ ~~~~~~~~ = \lim_{N\to\infty} \sum_{n=1}^N \left(\frac1{n+2} - \frac1n\right) \\\\ ~~~~~~~~ = \lim_{N\to\infty} \left(\frac1{N+2} + \frac1{N+1} - 1 - \frac12\right) \\\\ ~~~~~~~~= -\frac32\)

The others are flavors of \(\zeta(2)\).

\(\displaystyle \sum_{n=2}^\infty \frac1{(n+1)^2} = \sum_{n=3}^\infty \frac1{n^2} \\\\ ~~~~~~~~~~~~~~~~~ = \sum_{n=1}^\infty \frac1{n^2} - 1 - \frac1{2^2} \\\\ ~~~~~~~~~~~~~~~~~ = \frac{\pi^2}6 - \frac54\)

\(\displaystyle \sum_{n=2}^\infty \frac1{(n-1)^2} = \sum_{n=1}^\infty \frac1{n^2} \\\\ ~~~~~~~~~~~~~~~~~ = \frac{\pi^2}6\)

It follows that

\(\displaystyle \sum_{n=2}^\infty \frac1{(n^2-1)^2} = \frac14 \left(-\frac32 + \left(\frac{\pi^2}6 - \frac54\right) + \frac{\pi^2}6\right) = \boxed{\frac{\pi^2}{12} - \frac{11}{16}}\)

The net of the pyramid is the plane shapes that makes up the pyramid

The surface area of the pyramid is 224 m^2

The pyramid is a square based pyramid.

This means that the net of the pyramid has a square and four triangles

See attachment for the net of the pyramid

The base length is given as:

b = 8

The slant height is given as:

s = 10

Start by calculating the height of the pyramid using:

\(h = \sqrt{s^2 - (b/2)^2}\)

So, we have:

\(h = \sqrt{10^2 - (8/2)^2}\)

\(h = \sqrt{84}\)

The area of the pyramid is then calculated as:

\(A = b^2 + 2b * \sqrt{\frac{b^2}{4} + h^2}\)

So, we have:

\(A = 8^2 + 2*8 * \sqrt{\frac{8^2}{4} + 84}\)

\(A = 64 +16 * \sqrt{16 + 84}\)

\(A = 64 +16 * \sqrt{100}\)

\(A = 64 +16 * 10\)

\(A = 224\)

Hence, the surface area of the pyramid is 224 m^2

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2x² - 6x = -7 equation has  imaginary solutions

To determine if an equation has imaginary solutions, we can examine the discriminant of the quadratic equation

x² + 3x - 5 = 0

a = 1, b = 3, c = -5

Discriminant = (3)² - 4(1)(-5) = 9 + 20 = 29

The equation has two real solutions

x⁴ - 5x ^ 2 + 3 = 0

This equation is a quartic equation, not a quadratic equation. Quartic equations can have both real and imaginary solutions

2x² - 6x = -7

2x^2 - 6x + 7 = 0

a = 2, b = -6, c = 7

Discriminant = (-6)²- 4(2)(7) = 36 - 56 = -20

Since the discriminant (-20) is negative, the equation has two complex (imaginary) solutions.

-3x² = -5

Dividing both sides by -3, we get:

x²= 5

a = 1, b = 0, c = -5

Discriminant = 0² - 4(1)(-5) = 20

The equation has two real solutions.

Hence, 2x² - 6x = -7 equation has imaginary solutions

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Answer:

The function y = ⌊x⌋ is called the "greatest integer value" function.

it works as follows: the input is any number x, the output is the greatest  

integer smaller or equal to x.

For example:

⌊0.1⌋=0

⌊0.26⌋=0

⌊0.4678⌋=0

⌊0.8989⌋=0

⌊0.999⌋=0

⌊1⌋=0

⌊1.0001⌋=1

so, the value of ⌊x⌋, for the entire interval (0, 1] is 0.

Similarly,  

the value of ⌊x⌋, for the entire interval (1, 2] is 1.   and so on,  

thus the graph of  y = ⌊x⌋ is as shown in picture 1

the graph of   y = ⌊x⌋ – 2   is the graph of   y = ⌊x⌋   shifted 2 units down.

check picture 2.

The number is 48.

Let's represent the two-digit number as 10x + y, where x is the tens digit and y is the units digit.

According to the given information, the units digit is twice the tens digit. So we have the equation:

y = 2x

If the number is doubled, it will be 12 more than the number reversed. When we double the number, we get 2(10x + y), and the number reversed is 10y + x.

Therefore, we can write the equation as:

2(10x + y) = 10y + x + 12

Simplifying this equation, we get:

20x + 2y = 10y + x + 12

19x = 8y + 12

19x - 8y = 12

We have two equations now:

y = 2x

19x - 8y = 12

Substituting the value of y from the first equation into the second equation, we get:

19x - 8(2x) = 12

19x - 16x = 12

3x = 12

x = 4

Now we can substitute the value of x back into the first equation to find y:

y = 2x

y = 2(4)

y = 8

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Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.

(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

The next step is to combine like terms within each parentheses:

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

Finally, we can add the two expressions:

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

= 56x - 3x² - 8x + 2x³ + 3 + 7

= 56x - 3x² - 8x + 2x³ + 10

The final answer is 56x - 3x² - 8x + 2x³ + 10.

Answer:

it might be A but dont trust me

Step-by-step explanation:

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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you need to replace the points and check for equality

first (1,1)

is correct because 2 is greater than 1

second (2,3)

is wrong because 1 isnt greater than 3

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

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

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

B

Explanation:

The number of pennies weighing as much s earth is  193 × 10²⁴

Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.

Other names for index forms are scientific notation and standard forms.

Ratio is described as the comparison of numbers or variables on the basis of their size.

It shows how many times one number contains another.

From the information given, we have that;

The earth weighs = 5. 972 × 10 ²⁴ kilograms

The penny weighs = 3.1 × 10 ⁻³ kilograms

Divide the values

= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³

= 1.93 × 10 ²⁶

= 193 × 10²⁴

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Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

10 teachers= 120 students

Step-by-step explanation:

2 teachers= 24 students

divide 24 and 2 which 12

1 teacher= 12 students

multiply 10 and 12 which equals to 120

10 teachers= 120 students.

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A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:

Corresponding angles: ∠1 ≅ ∠5.

Alternate interior angles: ∠4 ≅ ∠6.

Alternate exterior angles: ∠2 ≅ ∠8

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:

∠1 ≅ ∠5

By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:

∠4 ≅ ∠6

By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:

∠2 ≅ ∠8

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