the perimeter of a rectangle id 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle

Answer:

a) 65.3

b) 2.8 x \(10^{4}\)

Step-by-step explanation:

a)

When you multiply by 10, you move the decimal 1 place to the right.

b)

You move the decimal so that the number will be between 1 and 10.  You move the decimal point 4 places.

2.8 x \(10^{4}\)

We are given that \({\bf{\tilde{n}=2n(n+1)\:\: \forall \:\: n\in \mathbb{N}}}\) and need to find the value of \({\bf{\dfrac{\tilde{8}}{\tilde{2}}}}\) . Now , let's find it ;

\({:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=\dfrac{2\times 8(8+1)}{2\times 2(2+1)}}\)

\({:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=\dfrac{\cancel{2}\times 8(9)}{\cancel{2}\times 2(3)}}\)

\({:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=\dfrac{8(9)}{2(3)}}\)

\({:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=\dfrac{2\times 4\times 3\times 3}{2\times 3}}\)

Cancelling 2 and 3 from denominator

\({:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=4\times 3}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{\dfrac{\tilde{8}}{\tilde{2}}=12}}}\)

Given the transformation, \(\~n\) = 2n(n+1), on applying the solution is \(\frac{\~8}{\~2} = 12\).

A transformation is any form of change. When one variable is given as a function of another variable, we say that the latter is transformed. We can find the value of corresponding new variable by putting in values in the old variables.

Given,

\(\~n\) = 2n(n+1)

Given,

when n = 8

\(\~8\) = 2 * 8 * ( 8+1) = 2*8*9 = 144

when n = 2

\(\~2\) = 2 * 2 * ( 2+1) = 2*2*3 = 12

Thus,

\(\frac{\~8}{\~2} =\frac{144}{12} = 12\)

Learn more about transformation here

https://brainly.com/question/11709244

#SPJ2

Since the graph never crosses the x-axis, the function has no real zeros

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

The graph (see attachment)

From the graph, we can see that the graph does not cross the x-axis at any point

This means that the graph has no real zero

Hence, the relationship between the zero and x-intercept is (b)

Read more about functions at

https://brainly.com/question/15648350

#SPJ9

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

The area of the region bounded by the equations by integrating with respect to x and with respect to y is 352.

To find the area of the region bounded by the equations x = 16 - y^2 and x = y - 4, we can integrate with respect to either x or y. To do it with respect to x, we set up the integral: Area = ∫[lower curve]^[upper curve] (upper curve - lower curve) dx = ∫4^12 (x + 4 - sqrt(16 - x)) dx, where the lower curve is y = sqrt(16 - x) and the upper curve is y = x + 4. We then evaluate this integral by splitting it into two parts and evaluating each part separately: ∫4^8 (x + 4 - sqrt(16 - x)) dx + ∫8^12 (x + 4 - sqrt(16 - x)) dx = 112 + C + 240 + C = 352 + 2C = 352. Thus, the area of the region is 352.

To know more about integration

https://brainly.com/question/18125359

#SPJ4

Answer:

Step-by-step explanation:

8y^2 -12y +4 / 4y = 2y -3     so from this result that a=2y and b= - 3

8y^2

Answer:

Are you excited for Fortnite season 6?

Step-by-step explanation:

Fortnite is life

The maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are:

Lower bound = 9.5

Upper bound = 30

In basketball, players can score 1, 2, 3 (or even 4 or 5 points) during a possession.

Players who score five points are fouled in the act of shooting a three-pointer and making the shot.

Players who score four points attempt a three-pointer and make the subsequent foul shot.

Players who score three points go beyond the 3-point line, in bounds.  

Players who score two points go inside the 3-point line, in bounds.

Players who score one point make free throws.

Basketball scores =  1, 2, 3, 4, 5 points

Median = 3 per possession

9.5   10  12.5   15   15.5   18.5   20  21.5  25    26   30    30

Thus, the maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are 9.5 and 30.

Learn more about basketball scores at https://brainly.com/question/19538418

#SPJ1

Relative Frequency of Scores

30 30 26 25 20 15 10 9.5 12.5 15.5 18.5 21.5

Answer:

1/19

Step-by-step explanation:

There are a total of 36+2 = 38 spaces

2 are green

P(green) = green / total

             = 2/38

            =1/19

            .052631579

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

. It will curl without heat. You Never attempt to use hot tools, like a curling iron, on a synthetic wig – unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig using the method below.

Step-by-step explanation:

Answer:

Yes, it is possible to curl a synthetic wig. But you should never attempt to use hot tools, like a curling iron, on a synthetic wig, unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig.

Answer:

Angle X=30°

2x=60°

Step-by-step explanation:

X+2X=90°

3x=90°

X=90/3

X=30°

Angle X=30°

2x=60°

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

To learn more on Pythagorean theorem: https://brainly.com/question/14930619

#SPJ1

Answer:

the answer is 24192

Answer: 24192

Step-by-step explanation:

There are a total of 279 1/9s in 31.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

To find out how many 1/9's are in 31, you can divide 31 by 1/9.

This can be simplified by converting the division of a fraction to multiplication with its reciprocal:

31 ÷ (1/9) = 31 × (9/1)

Simplifying the expression on the right side gives:

31 × 9 = 279

So there are 279, 1/9's in 31.

Learn more about Simplification here:

https://brainly.com/question/28996879

#SPJ2

Answer:Una cámara de televisión está a 30 pies de uno de los lados de 94 pies de una cancha, y está a 7 pies del centro. Determinar qué ángulo debe barrer.

Step-by-step explanation:

Answer:

f+g = (x-2)+(x²-x)

= x²-2

(f+g)(-3) = -3(x²-2)

-3x²+6

Step-by-step explanation:

follow the expression (f+g)(-3)

The probability of selecting at random, without replacement, two blue marbles is 5/12 i.e. A.

What exactly is probability?

Probability is a measure of the possibility or chance of an event to be occurred. It is a mathematical concept that is used to describe the degree of uncertainty or randomness associated with an event.

The probability of an event is represented by a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. For example, the probability of rolling a 6 on a fair six-sided die is 1/6, because there is only one way to roll a 6 out of the six possible outcomes.

Now,

Using formula for probability:

P(A and B) = P(A) × P(B|A)

where P(A and B) is the probability of events A and B occurring together, P(A) is the probability of event A occurring, and P(B|A) is the probability of event B occurring given that event A has occurred.

In this case, we want to find the probability of selecting two blue marbles without replacement. Let's break this down into two events:

Event A: Selecting a blue marble on the first draw

Event B: Selecting a second blue marble on the second draw (without replacement)

For Event A, the probability of selecting a blue marble on the first draw is 6/9, since there are 6 blue marbles out of a total of 9 marbles.

For Event B, the probability of selecting a blue marble on the second draw given that a blue marble was selected on the first draw is 5/8, since there are 5 blue marbles remaining out of a total of 8 marbles.

So, using the formula for probability, we have:

P(Event A and Event B) = P(Event A) × P(Event B|Event A)

= (6/9) × (5/8)

= 30/72

= 5/12

Therefore, the probability of selecting at random, without replacement, two blue marbles is 5/12.

To know more about probability visit the link

brainly.com/question/30034780

#SPJ1

Answer:

39

Step-by-step explanation:

Answer:

I think its a

Step-by-step explanation:

The box plot in option A is right-skewed or in other words positively skewed.

A box plot is a graphical representation of the distribution of a dataset, particularly picturizing its center, spread, and potential outliers. It is also used to find the skewness in the distribution.

It is also known as a box-and-whisker plot.

The given data points are 10, 20, 30, 40, 50, 60.

As the number of observations, n = 6, is even, the following formula will be used to find the median:

\(Med(X) = \dfrac{X_\frac{n}{2}+X_\frac{n}{2} _+_1 }{2}\),

where X is the random variable such that X ∈ [10, 60].

\(X_\frac{n}{2} = X_\frac{6}{2} = X_3 = 30\\X_\frac{n}{2}_+_1 = X_\frac{6}{2}_+_1 =X_{3+1} = X_4 = 40\)

\(Med(X) = \dfrac{30 + 40 }{2}\)

              \(= \dfrac{70}{2} \\= 35\)

It is clear that the whiskers of the box plot in Figure A are shifted right to the median, 35.

Thus, the box plot in option A is right-skewed.

Learn more about Box Plot here:

https://brainly.com/question/9827993

#SPJ4

Answer:

True

Step-by-step explanation:

The reciprocal of \(\frac{5}{11}\) is \(\frac{11}{5}\) , then

\(\frac{11}{5}\) ÷ - \(\frac{55}{18}\)

Change ÷ to × and turn the second fraction upside down, that is

\(\frac{11}{5}\) × - \(\frac{18}{55}\) ← cancel 11 and 55 by 11

= \(\frac{1}{5}\) × - \(\frac{18}{5}\)

= - \(\frac{18}{25}\) ← True

Answer:

true

Step-by-step explanation:

Reciprocal of \(\frac{5}{11}=\frac{11}{5}\)

Dividing it by \(\frac{-55}{18}\)

=> \(\frac{11}{5} / \frac{-55}{18}\)

Converting the divide sign into multiplication sign

=> \(-(\frac{11}{5} *\frac{18}{55})\)

=> \(-(\frac{1*18}{5*5} )\)

=> \(-\frac{18}{25}\)

So, the answer is True

Answer:

$8,939.58

Step-by-step explanation:

Let x represent the amount to be received each year

==> x * Present value annuity factor (4%,7yrs) = $29,000

==> x * 3.240 = $29,000

==> x = $29,000/3.244

x = 8939.580764488286

x = $8,939.58

So, $8,939.58 is the amount he will receive each year.

The number of sequences of seven ternary digits containing a single 1 and a single 2 is given as follows:

42.

The number of possible arrangements of n elements is given by the factorial of n, that is:

\(A_n = n!\)

When elements repeat \(n_1, n_2, n_3, \cdots, n_n\) times, the number of arrangements is given as follows:

\(A_{n}^{n_1, n_2, n_3, \cdots, n_n} = \frac{n!}{n_1!n_2!n_3! \cdots n_n!}\)

In this problem, we have an arrangement of seven elements, in which:

Hence the number of sequences is given as follows:

N = 7!/(5! x 1! x 1!)

N = 7 x 6

N = 42.

More can be learned about the arrangements formula at https://brainly.com/question/20255195

#SPJ1

Answer:

The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.

Step-by-step explanation:

Hope this helps!! Please mark me brainliest!!

Answer:

  34.8°

Step-by-step explanation:

You want the angle opposite a side of length 8 cm in a right triangle with hypotenuse 14 cm.

The sine relation is the one of interest in this geometry:

  Sin = Opposite/Hypotenuse

  sin(x°) = (8 cm)/(14 cm)

The angle can be found using the inverse sine function:

  x° = arcsin(8/14) ≈ 34.8°

The size of the angle x° is 34.8°.

<95141404393>

Answer:

Hey!

69/8 as a mixed number is...

8 5/8!

To get this answer, simply divide 69 by 8, then subtract the WHOLE NUMBER from 69 and then the left over number is the numerator over 8

Hope this helps!

Answer:

8 5/8

Step-by-step explanation:

Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have

f^(-1)(f(x)) = x

Differentiating with the chain rule gives

(f^(-1))'(f(x)) f'(x) = 1

so that

(f^(-1))'(f(x)) = 1/f'(x)

Let x = a; then

(f^(-1))'(f(a)) = 1/f'(a)

(f^(-1))'(b) = 1/f'(a)

In particular, we take a = 2 and b = 7; then

(f^(-1))'(7) = 1/f'(2) = 1/5

The function f(x) is an increasing function about which little else is known about other than f(2)=7 and f'(2)=5. Then the value of (f⁻¹)'(7) is 1/5

To find (f⁻¹)'(7), we can use the inverse function theorem. The formula for the derivative of the inverse function is given by:

\((f^{-1})'(y) = \frac{1}{f'(x)},\)

where y = f(x). Since we know that f(2) = 7 and f'(2) = 5, we have x = 2 and y = 7. Substituting these values into the formula:

\((f^{-1})'(7) = \frac{1}{f'(2)} = \frac{1}{5}.\)

Therefore,

\((f^{-1})'(7) = \frac{1}{5}.\)

learn more about derivative of the inverse function: https://brainly.com/question/30764361

#SPJ3

The volume of the new cone is 1,536π cubic inches.

To find the height of the cone, we can use the formula for the volume of a cone:

V = (1/3)πr²h

Given that the volume of the cone is 414.7 cubic inches and the radius is 6 inches, we can substitute these values into the formula and solve for h:

414.7 = (1/3)π(6)²h

414.7 = (1/3)π(36)h

414.7 = 12πh

h = 414.7 / (12π)

h ≈ 10.93 inches

Therefore, the height of the cone is approximately 10.93 inches when rounded to the nearest whole inch.

Next, let's calculate the volume of the new cone after doubling the radius to 12 inches and changing the height to 8 inches.

Using the same formula, we have:

V = (1/3)π(12)²(8)

V = (1/3)π(144)(8)

V = 1,536π

The redesigned cone has 1,536 cubic inches of capacity.

for such more question on volume

https://brainly.com/question/6204273

#SPJ8