6. What is the ratio of 65 mph

Answer:

6^3=6×6×6=216. So, the answer is 6x6x6 and 216.

Answer:

6x6x6, 3x3x3x3x3x3, 216

Step-by-step explanation:

6 to the third power is 6 times 6 times 6, also it's equal to 3 to the sixth power, also it's equal to 216.

Answer:

Step-by-step explanation:

The answer is c

Answer:

C

Step-by-step explanation:

Answer:

a. 1:3

Step-by-step explanation:

theres a pattern of x^2 but 1:3 is 1x3

Answer:

We can easily figure out how fast the boat is moving per hour.

35 km / 7 hours = 5 km/h

We now know that we are moving at a rate of 5 kilometers every 1 hour. We can now take our 5 km/h and multiply it by 3 hours to get our answer

5 km/h x 3 = 15 kilometers

38% of 22 is 8.36                  

sjkbgdfbskxdbnc(answer too short)

Answer:

8.36

Step-by-step explanation:

22=%100

22x38=836

836/100=8.36

The 10 breeding pairs of spotted owls in Cascade National Park studied by the researcher represent a selected sample. So, the correct answer is A)

The 10 breeding pairs of spotted owls represent a selected sample.

A sample is a subset of a larger population that is chosen for research or study purposes. In this case, the researcher is interested in studying the disappearance of spotted owls from northwestern forests, but it would be impractical to study the entire population of spotted owls in the region.

Therefore, the researcher selected a smaller group of 10 breeding pairs in Cascade National Park as a representative sample to study over the course of one year. The selected sample may help the researcher to draw conclusions about the population of spotted owls in the region. So, the correct option is A).

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--The given question is incomplete, the complete question is given

" a researcher is interested in the disappearance of spotted owls from northwestern forests. she studies 10 breeding pairs of spotted owls in cascade national park for one year. the 10 breeding pairs are the: group of answer choices

selected sample

snowball sample  

stratified sample

target population"--

Answer:

The sixth rod is 35.20 cm.

Step-by-step explanation:

Get the total length of the 6 rods.

Total length = 6(44.2cm)

= 265.20 cm

Get the total length of 5 rods

Length of 5 rods = 5(46cm)

=230cm

The length of the sixth rod is the difference between the two.

Length of the sixth rod = 265.20 cm - 230 cm

length = 35.2 cm

The indicated probability of  the normal distribution is 0.9332

The natural and social sciences frequently utilize normal distributions to describe real-valued random variables which distributions are unknown, which is why normal distributions are essential in statistics.

In the given normal distribution:

mean = 8 and standard deviation = 2

The indicated probability is given by P(7 ≤ x ≤ 11)

The z score of the distribution is given by

Z = ( 11 - 8 ) ÷ 2 = 1.5

From the z-score we can calculate the probability :

P(7 ≤ x ≤ 11) = 0.9332

Therefore the indicated probability is 0.9332

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The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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The requirements for a hypothesis test are satisfied.

To test the claim that the rate of polio is less for children given the Salk vaccine, we need to check if the requirements for a hypothesis test about two population proportions are met. The requirements are:

1. The samples are simple random samples and independent.
2. For each of the two groups, the sample size is at least 1000.

In this case, the study involved 401,974 children who were randomly assigned to two groups: the treatment group with 201,229 children and the placebo group with 200,745 children. This satisfies the first requirement, as the samples are simple random samples and independent. The sample size for both groups is also larger than 1000, meeting the second requirement.

Therefore, the requirements for a hypothesis test are satisfied, and we can proceed with testing the claim that the rate of polio is less for children given the Salk vaccine.

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Answer:

0 plus 0 is equals to 0 times 0.

Answer:

Step-by-step explanation:

point form:

(3,4)

equation form:

x= 3,  y= 4

The function f(x) = √(1 - sin(x)) is continuous for all real numbers x. It does not have any discontinuities in its domain.

To find the numbers at which the function f(x) = √(1 - sin(x)) is discontinuous, we need to identify any points in the domain of the function where there is a discontinuity.

The given function involves two components: the square root function (√) and the sine function (sin(x)).

1. Square Root Function:

  The square root function (√) is defined for non-negative real numbers. Therefore, the expression inside the square root, 1 - sin(x), must be greater than or equal to zero for the function to be defined.

2. Sine Function:

  The sine function (sin(x)) is periodic and oscillates between -1 and 1. It has points of discontinuity at values of x where the function approaches values outside this range.

Now, let's analyze the discontinuities of the function:

1. Discontinuity due to the Square Root:

  The expression inside the square root, 1 - sin(x), must be greater than or equal to zero to avoid taking the square root of a negative number. So we need to solve the inequality:

     1 - sin(x) ≥ 0

  Solving this inequality, we find that sin(x) ≤ 1. This condition holds for all real numbers x. Therefore, the square root component of the function does not introduce any discontinuities.

2. Discontinuity due to the Sine Function:

  The sine function (sin(x)) is continuous for all real numbers. It does not introduce any points of discontinuity.

Therefore, the function f(x) = √(1 - sin(x)) does not have any points of discontinuity in its domain, which includes all real numbers.

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Answer:

\(\sqrt{b^2+(c- a)^2}\)

Step-by-step explanation:

Replace values in the distance formula

x2= b

x1= 0

y2= c

y1= a

Answer:

x = 25.734083

\(x \approx 25.734\)

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)

Tangent Ratio:

\(\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}\)

Substituting:

\(\displaystyle \tan 25^\circ=\frac{12}{x}\)

Solving for x:

\(\displaystyle x=\frac{12}{\tan 25^\circ}\)

Calculating:

\(\displaystyle x=\frac{12}{0.466307}\)

x = 25.734083

Round to 3 decimals:

\(\mathbf{x \approx 25.734}\)

Answer: Option 4

CE/DE

Explanation:

Sin = Opposite/Hypotenuse

In triangle DCE the opposite ( angle D ) is CE and the hypotenuse is DE

so sinD = CE/DE

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The next logical number in the sequence is 50

To find the next logical number in the given sequence (2, 6, 14, 30), we need to observe the pattern or rule governing the sequence. Let's analyze the differences between consecutive terms:

6 - 2 = 4

14 - 6 = 8

30 - 14 = 16

By looking at the differences, we can see that they are increasing by 4 each time. Therefore, it appears that the sequence is based on adding the successive odd numbers: 1, 3, 5, 7, and so on.

Now, let's calculate the next difference:

16 + 4 = 20

To find the next number in the sequence, we add this difference to the last term:

30 + 20 = 50

Hence, the next logical number in the sequence is 50.

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The system that multiplies a given input by a ramp function, y[n] = x[n]r[n], is not BIBO-stable. BIBO stability refers to the ability of a system to produce bounded outputs for bounded inputs. In this case, the ramp function, r[n], grows unbounded as n increases, leading to unbounded outputs for bounded inputs.

To determine whether the system described, which multiplies a given input by a ramp function, is BIBO-stable (Bounded Input Bounded Output stable), we need to analyze its behavior with respect to bounded inputs.

BIBO-stability implies that for any bounded input, the system produces a bounded output. In this case, we have the input sequence x[n] and the output sequence y[n], which is the product of x[n] and the ramp function r[n].

A ramp function is defined as follows:

r[n] = n, for n >= 0

r[n] = 0, for n < 0

Now, let's consider two cases for the input x[n]:

1.Bounded input: Let's assume that x[n] is a bounded sequence, which means there exists some finite value M such that |x[n]| <= M for all n. In this case, we can show that the output y[n] will also be bounded.

y[n] = x[n] * r[n]

For n >= 0:

|y[n]| = |x[n] * r[n]|

= |x[n] * n|

<= M * n

As n >= 0, the term M * n grows without bound, so the output y[n] is unbounded for this case.

2.Unbounded input: Now, let's assume that x[n] is an unbounded sequence, which means it does not have a finite upper bound. In this case, we can show that the output y[n] will also be unbounded.

Consider x[n] = n. For n >= 0:

y[n] = x[n] * r[n]

= n * n

= \(n^2\)

As n grows without bound, the output y[n] (which is n^2) also grows without bound, indicating an unbounded output.

Based on these analyses, we can conclude that the system described, which multiplies a given input by a ramp function, is not BIBO-stable. It produces unbounded outputs for both bounded and unbounded inputs.

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The expected population of Adamsville, assuming uninhibited exponential growth, in an additional 4 years is approximately 19,075.

To determine the expected population in an additional 4 years, we can use the formula for exponential growth: P(t) = P₀ * e^(rt), where P(t) is the population at time t, P₀ is the initial population, e is the base of the natural logarithm (approximately 2.71828), r is the growth rate, and t is the time period.

Given that the initial population of Adamsville is 10,000 and it grew to 14,000 in 7 years, we can calculate the growth rate (r). We can use the formula r = ln(P₁/P₀) / t, where P₁ is the final population and t is the time period. Substituting the values, we have r = ln(14,000/10,000) / 7 ≈ 0.1234.

Now, we can calculate the expected population in an additional 4 years. Substituting P₀ = 14,000, r = 0.1234, and t = 4 into the exponential growth formula, we get P(t) = 14,000 * e^(0.1234 * 4) ≈ 19,075. Therefore, the expected population of Adamsville in an additional 4 years would be approximately 19,075.

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The amount in the account after 11 years will be approximately $13,803.29.

To calculate the future value of an account with compound interest, we can use the formula:

FV = PV × (1 + r)ⁿ

Where:

FV = Future Value

PV = Present Value (initial deposit)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, the initial deposit (PV) is $7,900, the annual interest rate (r) is 5.5% (or 0.055 as a decimal), and the time period (n) is 11 years.

Plugging in these values into the formula, we get:

FV = 7900 × (1 + 0.055)¹¹

Calculating this expression:

FV = 7900 × (1.055)¹¹

FV ≈ 7900 × 1.747422051

FV ≈ 13803.29

Therefore, to the nearest cent, the amount in the account after 11 years will be approximately $13,803.29.

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The least number of square pieces that Monica can cut from a rectangular cake without wasting any cake is 15 pieces, each 7 inches on a side.

Monica wants to cut a cake into identical square pieces without wasting any cake. To find the least number of square pieces that can be cut from a rectangular cake, we need to find the greatest common divisor (GCD) of the lengths of the sides.

In this case, the GCD of 21 and 35 is 7. This means that we can cut the cake into 7-inch square pieces, and there will be no waste. The number of pieces can be found by dividing each side of the rectangular cake by the side length of the square pieces.

For the 21-inch side, the number of pieces is

21 / 7 = 3

For the 35-inch side, the number of pieces is

35 / 7 = 5

Therefore, the total number of pieces that can be cut from the rectangular cake is

3 * 5 = 15.

In conclusion, the least number of square pieces that Monica can cut from a rectangular cake without wasting any cake is 15 pieces, each 7 inches on a side.

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Answer:

oh i hade this i got wrong but the answer is 79

Step-by-step explanation:

Answer:

Original: $733 million

Sequel: $860 million

Step-by-step explanation:

Let's say the original movie grossed x dollars. Since the sequel grossed 127 million more than that, we can write the expression x + 127 to represent the sequel.

Their total is 1593 million, so let's add them up:

x + (x + 127) = 1593

2x + 127 = 1593

2x = 1466

x = 1466/2 = 733

To find the sequel gross amount, add 127 to 733:

127 + 733 = 860

So, the original movie grossed $733 million, while the sequel grossed $860 million.

The coordinate point (0, -3) is located on y-axis. Therefore, option A is the correct answer.

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

The point is on the y-axis and is of the form (0, a) and since the distance is y units below the x-axis the coordinates are (0, -y).

Thus, point (0, -3) is located on y-axis

Therefore, option A is the correct answer.

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Answer:

I think its $1 every 4 oz

Step-by-step explanation:

Basing this off that 4 * 4 is 16

Answer: 32

Step-by-step explanation:

5+3*(5-2)^2

5+3*(3)^2

5+3*9

5+27

32

Answer:

32

Step-by-step explanation:

5 + 3 * (5 - 2)^2

5 + 3 * 3^2

5 + 3 * 9

5 + 2

= 32

Answer: 1.133333

Step-by-step explanation:

The value of the expression \(\frac{17}{15}\) .

Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. Fraction questions in mathematics frequently require lengthy calculations and complicated sums. Some pupils find it more challenging and require more time to solve. But don't worry—there is a solution for you in this article on math simplification. It will assist you in finding simple ways to simplify fractions. You'll discover what simplification is, how and where to simplify fractions, and the procedures involved in simplifying fractions in this article. Additionally, you'll learn the exact steps to take.

Here, do normal simplification using BODMAS rule.

Hence, the required value is \(\frac{17}{15}\)

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Answer:

x^{37} \sqrt{x}

Step-by-step explanation:

x to the power of 37 square root of x