What is the explicit rule for the following sequence? 48, 24, 12, 6, ……

Answer:

Step-by-step explanation:

\(tan33=544/x\\ \\ x=\frac{544}{tan33}m\\ \\ x\approx 837.7m\)

9514 1404 393

Answer:

  999 meters

Step-by-step explanation:

The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...

  Sin = Opposite/Hypotenuse

We want to find the hypotenuse, so we use the rearranged form ...

  hypotenuse = (mountain height)/sin(33°)

  lift length = (544 m)/sin(33°) ≈ 998.83 m

The length of the lift from bottom to top is about 999 meters.

Answer: is it 0.258

Step-by-step explanation:

Step-by-step explanation:

ummmmmmmm how does that work

convex

non-convex

regular

non-regular

Answer:

  y = (x -3)(x +2)

Step-by-step explanation:

For x-intercept (q, 0), one of the factors of the polynomial is (x -q).

For the given x-intercepts, the factors are ...

  y = (x -3)(x -(-2))

  y = (x -3)(x +2)

__

Additional comment

"Opens upward" means the leading coefficient is positive. The product of factors shown above has a positive leading coefficient (1), so does not need any modification.

If the parabola opened downward, we would need to multiply by -1.

If the y-intercept or some other point were specified, then we might need to multiply the equation by some factor other than 1.

The mean of the dataset is the average, while the median is the middle element.

The mean of the dataset is calculated using:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

\(\bar x = \frac{99.2+ 99.2 +98.2+............+97.7}{48}\)

\(\bar x = \frac{4715}{48}\)

\(\bar x = 98.2\)

The median position is:

\(Median = \frac{1}{2}(n + 1)\)

\(Median = \frac{1}{2}(48 + 1)\)

\(Median = \frac{1}{2}(49)\)

\(Median = 24.5\)

This means that the median is the average of the 24th and 25th element

Using the sorted dataset, we have:

\(Median = \frac{1}{2}(98.2 + 98.2)\)

\(Median = 98.2\)

Because the calculated mean and the common belief (98.6) are close, then we can conclude that the results support the common belief that the mean body temperature is 98.6F

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A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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The entire sum accrued from simple interest on a principal of $8,400.00 at a rate of 2.6% per year for 1 years is $8,618.40, which includes both the principal and interest.

Start dividing the capital mostly by interest rate, the period of time, and other factors to obtain at simple interest. Simple gain = principal + money + hours is the marketing strategy. This method allows it easiest to figure interest. The most typical method to reason out interest is by subtracting a portion of the principal sum. He only will pay his share of the 100percentage - point percent, for example, if he gets $100 from a friend and decides to return it with 5% interest. $100 (0.05) = $5. When you keep borrowing, you should always pay interest, and so when you give that out, you must lend money. Interest is typically determined as an indicator of the overall of the amount borrowed. The debt's interest rate is this percent.

given

A = P(1 + rt)

To start, divide R percent by 100 to get r a decimal, which equals 2.6%/100 or 0.026 per year.

A = 8400(1 + (0.026 × 1)) = 8618.4

A = $8,618.40

I = A - P = $218.40

The entire sum accrued from simple interest on a principal of $8,400.00 at a rate of 2.6% per year for 1 years is $8,618.40, which includes both the principal and interest.

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Answer:

It is the first one 1/3(p+45).

Answer:

choice 1) 1/3(p + 45)

Step-by-step explanation:

1/3p + 15 = 1/3(p + 45)

Matt ate 1/6 of the bag of peanut

Matt had 4/6 bag of peanut

He ate a quarter of what was in the bag

The amount of peanut he ate can be calculated as follows

= 4/6 × 1/4

= 4/24

= 1/6

Hence Matt ate 1/6 of the bag of peanut

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Answer:

Step-by-step explanation:

y=4x-5

put y=3 and x=2

3=4(2)-5

3=8-5

3=3 so the point lies on the line

y=18+2x

put y=17 and x=-1

17=18+2(-1)

17=18-2

17=16

so the point does not lie on the line

Answer:

Question 1:

Point = (x,y) = (2,3)

So, x = 2, y = 3

Let's put this in the equation to check whether it lies on the line or not

=> 3 = 4(2)-5

=> 3 = 8-5

=> 3 = 3

Since LHS = RHS so The point lies on the line

Question 2:

Point = (x,y) = (-1,17)

So, x = -1, y = 17

Let's put this in the equation to check whether it lies on the line or not

=> 17 = 18+2(-1)

=> 17 = 18-2

=> 17 ≠ 16

Since LHS ≠ RHS, So this point doesn't lie on the line.

Answer:

The function g(x) is odd.

Step-by-step explanation:

Even and odd functions:

If for every value of x, f(x) = f(-x), the function is even.

If for every value of x, f(x) = -f(x), the function is odd.

If those statements are false, the function is neither even nor odd.

In this question:

\(g(x) = x^{3}\)

\(g(-x) = (-x)^{3} = -x^{3} = -g(x)\)

Since g(x) = -g(-x), the function g(x) is odd.

Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

Answer:

Jonathan is 36 years old.

Step-by-step explanation:

Jonathan=2 Lawrence

J= 2L

54 divided by 3 equals 18.

18 times 2 equals 36.

Hope this helped! :)

If the power of ten exceeds or equals ten. There will be a shift of the decimal point to the left. Only if the power of 10 is positive is this scenario implied. For instance, 102 b) if there is less than one power on ten. It will shift to the right side of the decimal point. Only if the power of 10 is negative does this scenario imply. For instance, 102.

Let's examine the issue.

19891.00 can be used to represent 1.9891*104.

In fields like physics, engineering, and chemistry, very big or very small numbers are typically expressed using scientific notation. It reduces the numbers to a single number between 1 and 10 that is multiplied by 10 and increased to an exponent, denoted by the symbol if the power of ten exceeds or equals ten. There will be a shift of the decimal point to the left. Only if the power of 10 is positive is this scenario implied. For instance, 102 b) if there is less than one power on ten. Decimal point will be placed at t as, a 10n.

The decimal needs to come before the first two non-zero values.

The significant or mantissa is the number that comes before the multiplication symbol.

Significant figures are the number of digits in a significant figure, which varies on the application.

In this case, the significant figures calculator can be useful.

Whether or not the decimal position is moved to the right affects the exponent's value. Turn left to get back to the starting point.

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Answer: Quadrilateral or if thats not right Square or Rectangle

Step-by-step explanation:

The estimates for the average content is 0.9.

The variation in nitrogen content in the colony is 0.0036.

The average of a data set or the mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The sum of the data set is calculated as follows;

total = 0.98 + 0.83 + 0.99 + 0.86 + 0.9 + 0.81 + 0.94 + 0.92 + 0.87

total = 8.1

The estimated average of the nitrogen content  = 8.1/9 = 0.9

The deviation of each data from the mean;

= (0.98 - 0.9), (0.83 - 0.9), (0.99 - 0.9), (0.86 - 0.9), (0.9 - 0.9), (0.81 - 0.9), (0.94 - 0.9), (0.92 - 0.9), (0.87 - 0.9)

= 0.08, -0.07, 0.09, -0.04, 0, -0.09, 0.04, 0.02, -0.03

The sum of the square of each data from the mean;

= (0.08)² + (-0.07)²  + (0.09)² + (-0.04)² + (0.0)² + (-0.09)² + (0.04)² + (0.02)² + (-0.03)²

= 0.032

The variation of the data sample = (0.032)/9 = 0.0036

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Answer:

the correct option is

C. m<1 + m<2 = 90

Hope it will help :)❤

Answer:

B.

Step-by-step explanation:

o(〃＾▽＾〃)o hope its helpo(〃＾▽＾〃)o

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:

18 12

6 22

Step-by-step explanation:

if u understand my handwriting lol

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

Consider this rectangle. The perimeter is P = 2(3) + 2(6) = 18 cm. A rectangle with length 6 centimeters and width 3 centimeters. Suppose the dimensions of the rectangle are all multiplied by 4. The new rectangle would have the dimensions . The perimeter of the new rectangle would be cm. The new perimeter will be times as large as the perimeter of the original rectangle.

Step-by-step explanation:

The new perimeter is 4 times as large as the perimeter of the original rectangle.

The area of Rectangle is length times of width.

If the dimensions of the original rectangle are multiplied by 4

The length of the new rectangle would be 6 x 4 = 24 cm, and

the width would be 3 x 4 = 12 cm.

The perimeter of the new rectangle will be P

P = 2(24) + 2(12)

=48+24

= 72 cm.

Now let us find the ratio of the new perimeter to the original perimeter, we can divide the new perimeter by the original perimeter:

Ratio = (new perimeter) / (original perimeter)

= 72 cm / 18 cm

= 4

Therefore, the new perimeter is 4 times as large as the perimeter of the original rectangle.

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Answer:

AOB = 73

BOC = 107

Step-by-step explanation:

So make an equation.

9x + 27 = 180

9x = 153

x = 17

AOB = 73

BOC = 107

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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Answer:

x = 5

Step-by-step explanation:

Angles in a triangle add up to equal 180

Hence, 10x - 1 + 78 + 53 = 180

( Note that we just created an equation that we can use to solve for x )

We now solve for x using the equation we created

10x - 1 + 78 + 53 = 180

Combine like terms

10x + 130 = 180

Subtract 130 from both sides

10x = 50

Divide both sides by 10

x = 5

Answer:

x = 8

Step-by-step explanation:

Since the lines are parallel:

the given angles are alternate exterior angles and alternate exterior angles has same measures

8x = 64 divide both sides by 8

x = 8

The required slope of WZ is 3/2 for the given situation.

Since WXYZ is a rectangle, WZ is perpendicular to XY, and the slope of WZ is the negative reciprocal of the slope of XY.

The slope of the line is defined as the angle of the line. It is denoted by m

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

The slope of XY is:

m = (y₂ - y₁)/(x₂ -x₁ ) = (-7 - (-5))/(-1 - (-4)) = -2/3

The negative reciprocal of -2/3 is:

-1/(-2/3) = 3/2

Therefore, the slope of WZ is 3/2.

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