Which inequality represents all possible solutions of 16>x-4

True, The coefficient of xkyn-k in the expansion of (x+y)n equals (n/k) .

What does a math expression mean?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

                                 This mathematical operation may be addition, subtraction, multiplication, or division. An expression's basic components are as follows: Expression: (Math Operator, Number/Variable, Math Operator)

The rth term in a binomial expansion is defined as

 r th term  = ⁿCr xⁿ⁻ˣ yr

   Let the coefficient of \(x^{k} y^{n - k }\) be A. The power of x is k and the power of y is n-k. It means

         k = n - r

        n - r = t

The coefficient of x^{k} y^{n - k } is

  \(C^{n} _{n - r} =\) ( n n - k )

Using the property of combination,

   \(C^{n} _{n - r} = C^{n}_{r}\)

\(C^{n} _{n - k} = C^{n} _{k} ( ^{n} _{k} )\)

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The complete question is -

The coefficient of xkyn-k in the expansion of (x+y)n equals (n/k) true or false

Answer: The answer would be 4.9 :)

Step-by-step explanation:P=24.5cm

P=5a=5·4.9=24.5cm

=4.9

The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

280

Step-by-step explanation:

50+50=100 plus 90+90= 180 so 180+100=280

As you move from left to right, the number of points in the star increases by 1 and is the best option which describes the diagram which is therefore denoted as option B.

This can be referred to an important object in geometry and is usually represented by a dot. It also helps to tell the exact location of substances or objects and doesn't have certain parameters such as the length or width.

We can deduce that Star 1 has four points, star 2 has five points and star 3 has six points. We can therefore infer that the stars in the diagram given below has some amount of points which increases by one as we move from left to right thereby making it the most appropriate choice in this type of scenario.

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Each girl scored 9 points

Each boy scored 7 points

Step-by-step explanation:

Let the number of points each girl scored = a

Let the number of points each boy scored = b

7 girls and 6 boys scored a total of 105 points.

7a + 6b = 105......... Equation 1

The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21

7a - 6b = 21........... Equation 2

7a + 6b = 105......... Equation 1

7a - 6b = 21........... Equation 2

Subtract Equation 2 from Equation 1

12b = 84

b = 84/12

b = 7

Therefore, each boy scored 7 points

7a + 6b = 105......... Equation 1

b = 7

7a+ 6b = 105

7a + 6(7) = 105

7a + 42 = 105

7a = 105 - 42

7a = 63

a = 63/7

a = 9

Therefore, each girl scored 9 points.

Answer:

c = 35.493

Step-by-step explanation:

Because this is a right triangle, we can use one of the trigonometric ratios to solve for c.

If we allow angle A to be our reference angle, we see that b is the side adjacent to angle A and side c is the hypotenuse.  Thus, we can use the cosine ratio as

\(cosine(x)=\frac{adjacent}{hypotenuse}\)

In context of the problem, we can rewrite the equation as

\(cos(65)=\frac{15}{c}\), where we're solving for c:

\(c*cos(65)=15\\c=15/cos(65)\\c=35.49302375\\c=35.493\)

\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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"The box plot tells us about the lower limit, first quartile, median, third quartile, and upper limit.

Step-by-step explanation:

Box plot:

It displays the five-number summary of a set of data. The five-number summary is the lower limit, first quartile, median, third quartile, and upper limit. We draw a box in a box plot from the first quartile to the third quartile. A vertical line goes through the box which represents the median. Anything that lies beyond the upper limit or the lower limit is know as an outlier.

From the information given, we can say that:

The left-most point on the plot is 20 and the right-most point is 95 which means 20 and 95 are the lower and upper limit respectively. The box is labeled 35 on the left edge and 60 on the right edge which means 35 is the first quartile and 60 is the the third quartile. A vertical line is drawn inside the rectangle at the point 55 which means 55 is the median of given data. We cannot know about the mean of data with the given information."

(this is kind of an answer, I hope it's helpful)

The other prson is right, give them brainliest!

=====================================================

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

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

Notice that

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

So,

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

∠GCB and ∠HCB are consecutive interior angles. Option A is correct.

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

given, A figure, in that

∠GCB and ∠HCB are consecutive interior angles

Since, Consecutive interior angles are a pair of angles formed when a line, known as the transversal line, crosses two lines. The angles created on the inside of the two lines and are on the same side of the transversal line are known as the consecutive interior angles or co-interior angles for short.

Facts about consecutive interior or co-interior angles:

These angles lie between two lines. Consecutive interior angles are non-adjacent angles. If a transversal is drawn on two parallel lines, then the sum of co-interior angles formed are always added up to 180 degrees.

Therefore, we can say that ∠GCB and ∠HCB are consecutive interior angles.

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Answer:

Step-by-step explanation:

17.5

Answer:

Step-by-step explanation:

Let's first rewrite 1 5/8 into 13/8. Now we check the kids' math:

5/8 + 1/8 + 7/8 = 13/8. Dan is correct

6/8 + 2/8 + 5/8 = 13/8. Anya is also correct. Hope this helps!

Answer:

$506.03

Step-by-step explanation:

15% off of $549.95 = $467.46

8.25 tax on $467.46 = $506.03

Answer: C. 1 1/3

Step-by-step explanation:

Slope is calculated by the change in y/the change in x.

Plug values from the table into the equation:

(19-15)/(4-1)

Evaluate and Simplify:

4/3 -> 1 1/3

Answer:

Step-by-step explanation:

speed = 240 miles/(6 hours) = 40 miles/hour

360 miles × 1 hour/(40 miles) = 9 hours

Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5

Answer:

A

Step-by-step explanation:

I just saw that the median was 44, and it only displays that for A :P

Answer:

B , C, D

Step-by-step explanation:

In integer subtraction, Keep the first number. Change subtraction to addition and write the additive inverse of the second number.

When two integers have different sign, subtract and the result will have the sign of the bigger number.

B) 152 - 200 = 152 + (-152)

                    =  -48

Here, bigger number is 200 and it is the negative number. So, 200 - 152 is 48 and the sign of 48 is negative.

C) -39 - (-28) = -39 + 28

                     = -11

D) 89 - (-17) = 89 + 17

                  = 106

The measure that is most affected by extremely large or small values in the data set is the range. The correct option is C

The range is calculated by subtracting the smallest value in the data set from the largest value in the data set. If there are extremely large or small values in the data set, the range will be skewed and not representative of the spread of the majority of the data.

The interquartile range (IQR) is less affected by extreme values because it only considers the middle 50% of the data, specifically the difference between the third quartile and the first quartile.

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Answer:

It shows for each gallon consumed, we multiply by 30 to get the amount of miles

This applies for the three questions

Step-by-step explanation:

10 gallons and 300 miles are related in such a way that you divide the number if miles by number of gallons.

300/10 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

5 gallons ad 150 miles related in such a way that you divide the number if miles by number of gallons.

150/5 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

1 gallon and 30 miles related in such a way that you divide the number if miles by number of gallons.

30/1= 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

Answer:

ans: value of z is greater than 34

Step-by-step explanation:

draw the number line as shown in picture

Answer:

The first blank is 81\(x^{2}\)+9=x-1

The second blank is 9x+3=x^2-1

Step-by-step explanation:

For the first part, you must set up the equation (9x+3)^2       then you must multiply the exponent to the inside exponents \(9^{2} x^{2}\)+\(3^{2}\) next, simplify.

81\(x^{2}\)+9=x-1

For part two, set up equation. \(x^{2} -1^{2}\) Then simplify 9x+3= \(x^{2} -1\)

9x + 3 = x - 1

Squaring the left side and simplifying results in​ 81x² + 53x + 10 = 0.

Squaring the right side and simplifying results in x² - 11x - 2 = 0.

Given,

9x + 3 = x -1

We need to square on the left side and right side separately and find the results.

(A + B)² = A² + 2AB + B²

(A - B)² = A² - 2AB + B²

We have,

9x + 3 = x - 1

Squaring the left side.

( 9x + 3)² = x - 1

(9x)² + 2 x (9x) x 3 + 3² = x - 1

81x² + 54x + 9 = x - 1

81x² + 54x - x + 9 + 1 = 0

81x² + 53x + 10 = 0

Now,

9x + 3 = x - 1

Squaring right side

9x + 3 = ( x - 1 ) ²

9x + 3 = x² - 2 x (x) x 1 + 1²

9x + 3 = x² -2x + 1

x² - 2x - 9x + 1 - 3 = 0

x² - 11x - 2 = 0

Thus the results after simplifying 9x + 3 = x - 1 are

Squaring on the left sides:

81x² + 53x + 10 = 0

Squaring on the right sides:

x² - 11x - 2 = 0

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Answer:

I would say No

Step-by-step explanation:

For a sample to be valid it needs to be random, and when doing every 40th student then its not random anymore, also when your doing every 40th student, to even have enough date their would have to be about 500 kids therefore it's not valid I feel.

Answer:

The rate of decay is 12% or .12

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

7 x 10 = 70

4 x 10 = 40

70 + 40 = 110

110 / 2 = 55

The surface area of the pyramid is 113 cm².

A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.

The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.

To find the surface area of the pyramid, we need to find the area of each face and then add them up.

Area of the base:

The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:

Area of base = length × width = 7 cm × 5 cm = 35 cm²

Area of the four triangular faces:

Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:

Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²

Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²

There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:

Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face

= 2 × 19 cm² + 2 × 20 cm²

= 78 cm²

Total surface area:

Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:

Total surface area = area of base + total area of four triangular faces

= 35 cm² + 78 cm²

= 113 cm²

Therefore, the surface area of the pyramid is 113 cm²

.

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