Hailey's plane climbed 4500 feet in 50 seconds. How fast did her plane climb every second?

Answer:

1.colon

2. semicoln

3. comma

4. none

5. dash

6. comma

7. i am not sure but i think is a colon

8.comma

9. semicoln

10. dash

Step-by-step explanation:

You use colon when listing out something.

Sorry, I am not sure about this answer

80.8% of the time, the average yearly snowfall across the 25 years that were randomly chosen will be greater than 72.8 inches.

As the question stated;

The z score is estimated as;

z = (x - μ)/σ

In which,

Mean μ =  70 inche

standard deviation σ = 10 inches.

n = 25

z = (72.8 - 70)/(10/√25)

z = 2.8/2

z = 1.40

Use z-score table to find the value;

P(x > 72.8 inches) = P(z > 1.40)

P(x > 72.8 inches) = 1 - P(z < 1.40)

P(x > 72.8 inches) = 1 - 0.9192

P(x > 72.8 inches) = 0.0808

Thus, 80.8% of the time, the average yearly snowfall across the 25 years that were randomly chosen will be greater than 72.8 inches.

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Answer:

17, 34, 51, 68, 85, 102, 119, 136, 153, 170

hope this helps

Answer:

The multiples of 17 are: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816, 833, 850, 867, 884, 901, 918, 935, 952, 969, 986.

Step-by-step explanation:

Easiest way to solve this is to probably grab a piece of paper and just add 17 until you find whatever you’re looking for!

The trace of a square matrix A, denoted tr(A), is a mathematical calculation of the sum of the elements on the main diagonal of A.

It has been shown that the trace operator has certain properties with regard to matrix addition and scalar multiplication. In particular, if A and B are nxn matrices, then tr(A¹) = tr(A) and tr(A+B) = tr(A) + tr(B) - tr(A∩B).

Matrix operations are fundamental in mathematics and are used in numerous applications. One of the most important matrix operations is the trace operator, which sums up the diagonal elements of a square matrix. The main diagonal consists of elements for which i=j. The property that tr(A¹) = tr(A) means that the trace of a matrix A remains the same even when A is raised to some power. This can be proved by using induction. Similarly, the property that tr(A+B) = tr(A) + tr(B) - tr(A∩B) can be proved by expanding the terms of the trace of A+B and using the fact that tr(A∩B) is the trace of the intersection of A and B.

In summary, the trace of a square matrix A is the sum of the elements along the main diagonal of A and has the property that the trace of a matrix remains the same even when raised to some power. Additionally, the trace of the sum of two matrices is equal to the sum of their traces minus the trace of their intersection.

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Answer:

1,000

Step-by-step explanation:20*50

Answer:

^G=98°

Step-by-step explanation:

So you know that angle x and angle g summed up together make 180°.

^F+^H+^G= 180°

<=> 53°+45°+^G=180°

<=> ^G= 180°-98°=82°

180°-82°=98°

Answer: in the picture

98

Step-by-step explanation:

Answer:

1432 years

Step-by-step explanation:

A(t) = I(0.5)^t/t1/2

Where t1/2 = half life = 1660

Final amount, A(t) = 0.55 of its original amount =. 0.55I

Hence, we have

0.55I = I(0.5)^t/1660

Take the log of both sides

Log(0.55) = log(0.5)^t/1660

t/1660 = log(0.55) / log(0.5)

t/1660 = 0.8624964

t = 0.8624964 * 1660

t = 1431.7441

t = 1432(nearest whole number)

Answer:

no then can not be both

Step-by-step explanation:

vertical angles require the intersection of 2 straight lines and then they are the opposite of where they intersect

adjacent are next to each other

Answer:

no, vertical angles can never be adjacent. adjacent angles are the ones next to each other while vertical angles are opposite from each other

Answer:

63 ft

Step-by-step explanation:

tan(68 degrees)= 85/y  

y tan (68 degrees)=85

y=85/tan(68 degrees) ( cross multiply)

y = 34.34 feet

tan (41 degrees)=85/x+y

(x+y)tan(41 degrees)=85

x+y=85/tan 41 degrees

x=85/tan(41 degrees) - y

x= 85/tan (41 degrees)-(34.34) (cross multiply)

Round 63.44 to the nearest hundredth

Therefore, Travis stepped back 63 feet to gain a better view!

Answer:

28

Step-by-step explanation:

Answer:

kantutin mo para ma buntis

Answer:

The answer is

Step-by-step explanation:

Similar : 2yd - 8yd, 6yd - 18yd

Not similar - Shape : 18yd - 6yd

Not similar - Ratio : 6yd - 3yd, 9yd - 18yd, 3yd - 1yd

Answer:

13.0434782609%

Step-by-step explanation:

200000 - 230000

-----------

230000

x 100% = 13.0434782609% - 100 = 86.9565217

86.9565217 x 230,000 = 200,000

Answer:

Well I only know 1 and its 3/5

Step-by-step explanation:

Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

To determine how many different ways we can prove that 14 is in the set even using the second recursive definition, we need to understand the definition itself.

The second recursive definition of the set even states:

The number 0 is in even.

If n is in even, then n + 2 is also in even.

Using this definition, let's explore the different ways we can prove that 14 is in the set even:

Direct proof:

We can directly show that 14 is in even by applying the second recursive definition. Since 0 is in even, we can add 2 repeatedly: 0 + 2 = 2, 2 + 2 = 4, 4 + 2 = 6, 6 + 2 = 8, 8 + 2 = 10, 10 + 2 = 12, 12 + 2 = 14. Therefore, we have shown that 14 is in even.

Indirect proof:

We can also use an indirect proof by assuming the opposite and showing a contradiction. Suppose 14 is not in even. According to the second recursive definition, if 14 is not in even, then the previous number 12 must not be in even. Continuing this reasoning, we find that 0 would not be in even, which contradicts the definition. Hence, our assumption that 14 is not in even is false, and thus 14 must be in even.

Therefore, there are at least two different ways we can prove that 14 is in the set even using the second recursive definition.

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Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Answer:

divide by the number of penguins

Step-by-step explanatin:

There are 6 windows for every 3 penguins. You divide 18 (the number of windows) by 3 to get 6. If there were 2 penguins, the awnser would be four. And if there was 1, it would be 1 1/2.

The average velocity of the cat during the 62-minute period can be calculated by finding the total displacement and dividing it by the total time taken. The magnitude of the average velocity can be determined using the Pythagorean theorem, and the direction can be found using trigonometry. The average velocity is approximately 2.06 m/min in a direction of 56.3 degrees west of north.

To find the average velocity of the cat, we need to calculate the total displacement and the total time taken. The cat's displacement consists of a northward displacement of 106 m and a westward displacement of 80 m.
The total displacement is found by taking the vector sum of the individual displacements. Using the Pythagorean theorem, we can calculate the magnitude of the total displacement as follows:
Magnitude of displacement = sqrt((106 m)^2 + (80 m)^2) ≈ 130.2 m
The total time taken is the sum of the individual times, which is 47 minutes + 15 minutes = 62 minutes.
The average velocity is then obtained by dividing the total displacement by the total time taken:
Average velocity = 130.2 m / 62 min ≈ 2.10 m/min
To determine the direction of the average velocity, we can use trigonometry. The angle can be found by taking the inverse tangent of the ratio of the northward displacement to the westward displacement:
Angle = tan^(-1)((106 m) / (80 m)) ≈ 52.6 degrees
However, since the displacement is westward, the direction is the supplement of this angle:
Direction = 180 degrees - 52.6 degrees ≈ 127.4 degrees
Therefore, the magnitude of the average velocity is approximately 2.06 m/min, and it is in a direction of 56.3 degrees (180 degrees - 127.4 degrees) west of north.

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Answer:

for every 2 lions there are 5 tigers

Step-by-step explanation:

Answer:

2:5 and 5:2

Step-by-step explanation:

\($\frac{4x^2+4x}{2x^2-2} =\)

\($\frac{4x\left(x+1\right)}{2x^2-2} =\)

\($\frac{4x\left(x+1\right)}{2\left(x+1\right)\left(x-1\right)} =\)

\($\frac{4x}{2\left(x-1\right)}=\)

\($\frac{2\cdot \:2x}{2\left(x-1\right)} = \frac{2x}{x-1}\)

Answer:

4

Answer and Explanation: Two to the second power is 4. We write two to the second power as follows: 22.\

4 to the power of 2 can be expressed as 42 = 4 × 4 = 16.

The slope of both lines is equivalent to (v - z + b)/(x - z + a), and this shows that parallel lines have the same slopes.

To determine the slope of the lines represented by the given equations, we can compare the two equations in slope-intercept form, y = mx + b.

Equation 1: y = (v - z + b)/(x - z + a)

Equation 2: y = (w - x + a)/(v - z + b)

By comparing the equations, we can see that the numerators of both fractions in Equation 1 and Equation 2 are identical (v - z + b). Similarly, the denominators of both fractions are also the same (x - z + a) and (v - z + b).

This means that the slope of both lines is equivalent to the fraction (v - z + b)/(x - z + a). Therefore, the answer is (v - z + b)/(x - z + a).

Given that the lines are parallel and we have calculated that their slopes are the same, it confirms that parallel lines have the same slopes.

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The percentile for the data value 55 in the given data set is approximately 28.57.

To find the percentile for the data value 55 in the given data set, we can use the following formula:

Percentile = (Number of values below the given value / Total number of values) x 100

First, we need to determine the number of values below the given value 55. In the given data set, there are 2 values (38 and 30) that are below 55. Therefore, the number of values below 55 is 2.

The total number of values in the data set is 7. Therefore, the total number of values is 7.

Using the formula, we get:

Percentile = (Number of values below the given value / Total number of values) x 100

Percentile = (2 / 7) x 100

Percentile = 28.57 (rounded to two decimal places)

Therefore, the percentile for the data value 55 in the given data set is approximately 28.57.

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The particular solution to the differential equation with the initial condition y(7) = 0 is:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x - 7.

To solve the given differential equation, we can use the method of separation of variables. Here's the step-by-step solution:

Step 1: Write the given differential equation in the form dy/dx = f(x, y).

  In this case, dy/dx = y² - 4.

Step 2: Separate the variables by moving terms involving y to one side and terms involving x to the other side:

  dy / (y² - 4) = dx.

Step 3: Integrate both sides of the equation:

  ∫ dy / (y² - 4) = ∫ dx.

Let's solve each integral separately:

For the left-hand side integral:

Let's express the denominator as the difference of squares: y² - 4 = (y - 2)(y + 2).

Using partial fractions, we can decompose the left-hand side integral:

1 / (y² - 4) = A / (y - 2) + B / (y + 2).

Multiply both sides by (y - 2)(y + 2):

1 = A(y + 2) + B(y - 2).

Expanding the equation:

1 = (A + B)y + 2A - 2B.

By equating the coefficients of the like terms on both sides:

A + B = 0, and

2A - 2B = 1.

Solving these equations simultaneously:

From the first equation, A = -B.

Substituting A = -B in the second equation:

2(-B) - 2B = 1,

-4B = 1,

B = -1/4.

Substituting the value of B in the first equation:

A + (-1/4) = 0,

A = 1/4.

Therefore, the decomposition of the left-hand side integral becomes:

1 / (y² - 4) = 1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2)).

Integrating both sides:

∫ (1 / (y² - 4)) dy = ∫ (1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2))) dy.

Integrating the right-hand side:

∫ (1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2))) dy

= (1/4) * ln|y - 2| - (1/4) * ln|y + 2| + C₁,

where C₁ is the constant of integration.

For the right-hand side integral:

∫ dx = x + C₂,

where C₂ is the constant of integration.

Combining the results:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| + C₁ = x + C₂.

Simplifying the equation:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x + (C₂ - C₁).

Combining the constants of integration:

C = C₂ - C₁, where C is a new constant.

Finally, we have the solution to the differential equation that satisfies the initial condition:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x + C.

To find the value of the constant C, we use the initial condition y(7) = 0:

(1/4) * ln|0 - 2| - (1/4) * ln|0 + 2| = 7 + C.

Simplifying the equation:

(1/4) * ln|-2| - (1/4) * ln|2| = 7 + C,

(1/4) * ln(2) - (1/4) * ln(2) = 7 + C,

0 = 7 + C,

C = -7.

Therefore, the differential equation with the initial condition y(7) = 0 has the following specific solution:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x - 7.

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Answer:

MO = 8 units

MP = 4 units

Step-by-step explanation:

\( In\: \triangle MOP, \\

\angle P = 90\degree ... (given) \\

\angle M = 60\degree ... (given) \\

\therefore \angle O = 30\degree(3^{rd} \: \angle \: of\: \triangle) \\

Let \huge\purple {MO = x \: units}... (1)\\

\therefore MP = \frac{1}{2} \times MO\\(side\: opposite \: to\: 30\degree) \\\\

\therefore MP = \frac{1}{2} \times x\\\\

\huge\red {\therefore MP = \frac{1}{2} x}.... (2)\\\\

\therefore PO = \frac{\sqrt 3}{2} \times MO\\(side\: opposite \: to\: 60\degree) \\\\

\therefore PO = \frac{\sqrt 3}{2} \times x\\\\

\huge\orange{\therefore PO = \frac{\sqrt 3}{2}x} \\\\

\because MP + PO + MO = P(\triangle MOP) \\\\

\therefore \frac{1}{2} x+\frac{\sqrt 3}{2}x+ x = 12+4\sqrt 3\\\\

\therefore \frac{1}{2} x+x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\

\therefore \frac{3}{2} x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\

\therefore \frac{(3+\sqrt 3)}{2} x= 4(3+\sqrt 3)\\\\

\therefore x = 4(3+\sqrt 3)\times \frac{2}{(3+\sqrt 3)}\\\\

\therefore x = 4\cancel{(3+\sqrt 3)}\times \frac{2}{\cancel {(3+\sqrt 3)}}\\\\

\therefore x = 4\times 2\\\\

\therefore x = 8\\\\

\huge\purple {\boxed{\implies MO = 8}} \: \\ [From\: equation \: (1)]\\\\

\because MP = \frac{1}{2} x \:

\\ [From\: equation \: (2)]\\\\

\therefore MP = \frac{1}{2} \times 8\\\\

\huge\red {\boxed{\therefore MP = 4 \: units}}

\)

Answer:

(x+1)²=-1

Step-by-step explanation:

x²-7x=-9x-2

x²+2x+2=0

If you solved this using the quadratic formula, you’d end up with -1+i and -1-i.

but if you subtracted 1 from both sides, you’d have

x²+2x+1=-1

Which is:

(x+1)²=-1

The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit.

Linear equation are those in which power is 1 or maximum degree is 1. For example: x + y = 3 here the maximum degree is 1.

Quadratics equation are those in which power is 2 or maximum degree is 2. For example: X² + 6X + 3 = 0. here the maximum degree is 2.

Here, we have given two equation:

Y = 3X

Y = 6X²

To find the limit we will equate the both equation:

3X = 6X²

6X² - 3X = 0

3X ( 2X - 1 ) = 0

here we get two values of X, X = 0 and X = 1/2

so, Lower limit = 0 and Upper limit = 1/2.

Area = \(\int\limits^ \frac{1}{2} _0 {(3x - 6x^{2} ) } \, dx\)

Area = ( 3/2 ( x ⁸ )  - 2 ( x³ ) )          --- Limit from: 0 to 1/2

Area = (3/2 ( 1/2 ² ) - 2 ( 1/2 ³) ) - ( 3/2 ( 0² ) - 2 ( 0³) )

Area = 3/8 - 1/4 - 0 + 0

Area = 1/8 sq. unit

Hence,

The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit. For graph See the attached image.

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The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To apply the Central Limit Theorem, the following condition is necessary:

1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).

In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.

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If the invested price is $ 148,000 for 12 years with a return of $210,160. Then the rate of interest will be 11.83%.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Julie invested $148,000 in a simple interest account.

After 12 years and no additional deposits or withdrawals, the account balance was $210,160.

Then the interest rate will be

\(\rm A = \dfrac{PRT}{100}\\\)

We have

A = $ 210,160

P = $148,000

T = 12 years

Then the interest rate will be

\(\begin{aligned} 210,160 &= \dfrac{148000 \times R \times 12}{100}\\\\R &= 11.83 \% \end{aligned}\)

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Answer: 3.5%

Step-by-step explanation:

10 cm is equal to 3.937 inches. both are unit of measurement of length.

The conversion factor for converting centimeters to inches is 0.393701. So, to convert 10 centimeters to inches, you need to multiply 10 by 0.393701, which results in 3.937 inches.

It is important to note that the inch is a unit of length commonly used in the United States, while the centimeter is the standard unit of length in the International System of Units (SI). For converting small lengths, it is sufficient to use this conversion factor, but for larger or more precise measurements,

it is important to use a more accurate conversion method. It's also worth noting that converting between different units of measurement can sometimes result in slight differences in the values obtained through conversion due to rounding.

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