fill in the blanks for the geometric sequence
__, 5^4, __, __, 5^10

There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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Answer:

1464.333 is wrong

Step-by-step explanation:

I GOT THE POWER OF GOD AND ANIME ON MY SIDE

Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

Answer:

18

Step-by-step explanation:

144 / 4 = 72

each side is 72

72/4 = 18

Answer: 4x = 9

Step-by-step explanation: please help with this if you can! It’s due in 15 minutes!!

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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The formula for y in terms of x is y=160​/x^2.

We are given that;

y = 20 when t=4

And t = 8 when x = 2

Now,

To find the value of k by using the fact that y = 20 when t = 4:

20=k⋅4

k=5

Also, y=5t

Next, we use the fact that t is inversely proportional to the square of x. We can write:

t=x2k​

where k is a constant of proportionality. We can find the value of k by using the fact that t = 8 when x = 2:

8=22k​

k=32

Now we know that:

t=x232​

Substituting this into the equation for y:

y=5t=5⋅x232​=160​/x^2

Therefore, by proportions the answer will be y=160​/x^2.

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Answer:

5 games

Step-by-step explanation:

To find how many games the team scored at least 70 points, we need to look at the 7 on the stem side. The 7 means 70, and we add the digits on the leaf side. For example, 7 | 2 is 72. The numbers on the leaf side are: 1, 1, 2, and 3.

There are no points for the 8 on the stem side, but on 90, there is one digit on the leaf side: 1. So, the points they scored over 70 are 71, 71, 72, 73, and 91, which equals to five games.

Answer:

\(\boxed{\mathrm{5 \ games}}\)

Step-by-step explanation:

At least 70 points makes it 70 and more. It should be at least 70 and at most anything above then 70.

So, In 5 games, the team scored at least 70. (71,71,72,73 and 91)

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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Answer:

x=14 x 7=98

Step-by-step explanation:

Answer:

the answer is X=98

Step-by-step explanation:

The probability of observing heads (h) when tossing both coins simultaneously is 0.55.

We can use the Law of Total Probability to calculate the probability of observing heads (h) when we toss both coins simultaneously. The Law of Total Probability states that the probability of an event (h) is equal to the sum of the probabilities of the mutually exclusive events (fair coin and biased coin) multiplied by their respective probabilities of observing heads (h). Therefore, the probability of observing heads (h) when tossing both coins simultaneously is given by:

P(h) = P(h|f) * P(f) + P(h|b) * P(b)

= 0.5 * 0.5 + 0.6 * 0.5

= 0.55

Therefore, the probability of observing heads (h) when tossing both coins simultaneously is 0.55.

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Answer:

23m

Step-by-step explanation:

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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Answer:

7/15

Step-by-step explanation:

4/5 - 1/3

multiply one side by 3 and the other by 5

12/15 - 5/15

7/15

Answer:

Angle NKO and Angle OKL are adjacent and complementary

Step-by-step explanation:

Adjacent - yes - they have the common vertex K and the common side KO.

Vertical - no - vertical angles are created by two intersecting lines, and angles NKO and OKL are not.

Complementary - yes - since it's given to us that JL and MN are perpendicular, that means that they intersect at 90 degree angles. This means that angles NKO and OKL add up to 90 degrees, and because complementary angles are angles that add up to 90 degrees, NKO and OKL are complementary.

Supplementary - no - supplementary angles are angles that add up to 180 degrees, and since NKO and OKL add up to 90 degrees, they can't be supplementary.

Linear Pair - no - a linear pair is a pair of angles that are adjacent and supplementary. Angles NKO and OKL are adjacent, but since they're not supplementary they can't be a linear pair.

Answer:

80 telephones should be sampled

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

89% confidence level

So \(\alpha = 0.11\), z is the value of Z that has a p-value of \(1 - \frac{0.11}{2} = 0.945\), so \(Z = 1.6\).

How many telephones should be sampled and checked in order to estimate the proportion defective to within 9 percentage points with 89% confidence?

n telephones should be sampled, an n is found when M = 0.09. We have no estimate for the proportion, thus we use \(\pi = 0.5\)

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.09 = 1.6\sqrt{\frac{0.5*0.5}{n}}\)

\(0.09\sqrt{n} = 1.6*0.5\)

\(\sqrt{n} = \frac{1.6*0.5}{0.09}\)

\((\sqrt{n})^2 = (\frac{1.6*0.5}{0.09})^2\)

\(n = 79.01\)

Rounding up(as 79 gives a margin of error slightly above the desired value).

80 telephones should be sampled

The additive identity is z = 0 + 0i

We know that the additive identity is a number that when we add it to our number, it does not change.

So the additive identity X is defined, for any number A, as:

A + X = A

So we want a complex number z = a + bi

such that:

19 + 5i + z = 19 + 5i

It is trivial to notice that:

z = 0 + 0i = 0

So the additive identity is 0 (just like for the case of real numbers).

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Answer:

1.19 is the price for Yasmin.

16p is the cost for Ben.

0.52 is the cost for 1.

Step-by-step explanation:

Divide them all and you will get your answer.

a

its just counting

i think its a

Answer:

\(\frac{59}{1000}\)

Step-by-step explanation:

5×1 hundredths: \(5*\frac{1}{100}\)

Set up the addition expressionm:

\((5*\frac{1}{100}) +(9*\frac{1}{1000} )=\\\\\frac{5}{100}+\frac{9}{1000}=\\\\\frac{50}{1000}+\frac{9}{1000}=\\\\\frac{59}{1000}\)

Answer:

5 * 1 hundredths +  9 * 1 1000

5 hundredths + 9000

0.05 + 9000

9000.05

Step-by-step explanation:

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.

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Answer:

The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.

Answer: Statement 1 is false.

Step-by-step explanation: 1 is false because all natural numbers, whole numbers, and integers are rationals.

Answer:

\(\huge\boxed{2\dfrac{km}{h}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}}\)

Step-by-step explanation:

\(1km=1,000m\\1h=3,600s\\\\2\dfrac{km}{h}=2\cdot\dfrac{1000m}{3600s}=2\cdot\dfrac{10m}{36s}=\dfrac{20}{36}\ \dfrac{m}{s}=\dfrac{20:4}{36:4}\ \dfrac{m}{s}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}\)

The quotient of the long division of the polynomial (6x³ - 4x² + 11)/(x+3)  is 6x² - 22x + 66.

The quotient of the polynomial divided by a factor of x + 3 is determined by applying long division method as shown below;

6x³ - 4x² + 11 ÷  x + 3

                   6x² - 22x + 66

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

  x + 3   √ 6x³ - 4x² + 11

               - (6x³ + 18x²)

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

                         -22x² + 11

                    -   (-22x² - 66x)

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

                                  66x + 11

                            -  (66x + 198)

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

                                      -187

Thus, the quotient of the long division of the polynomial is obtained as   6x² - 22x + 66.

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Find the quotient of the polynomial using long division

6x3 − 4x2 + 11/x + 3

Answer:23000

Step-by-step explanation:

The principal amount​ is ₹20000.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\)

Let the money at beginning of the year 2005, a person invests in a bank be x.

At the beginning of 2010, the accumulated interest was ₹10000.

Now, x(1+r/100)⁵=x+10000 ------(I)

Let x(1+r/100)⁵=A

At the beginning of 2015, the accumulated interest became ₹25000.

So, x(1+r/100)¹⁰=x+25000 ------(II)

From the equation (I),

x(A-1)=10000 ------(III)

From equation (II), we get

x×A²=x+25000

x(A²-1)=25000 ------(IV)

From equation (III) and (IV), we get

10000(A+1)=25000

A=1.5

Put A=1.5 in equation (III), we get

0.5x=10000

x=10000/0.5

x=₹20000

Therefore, the principal amount​ is ₹20000.

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