15. What is x to the nearest tenth?
А
2
62
44
C.c

B
78
A 37.5
B 52.5
© 75.0
D 103.0

Answer:

153.1

Step-by-step explanation:

Without just estimating, I actually solved the problem with basic division and that's the answer.

(If you need a better explanation, I can totally do that)

Answer:

3sqaure root 100/5

Step-by-step explanation:

It would look like this picture Below

The differentiation of the function  f(x) = sin⁻¹(3x⁵) is  \(15x^4/\sqrt{1-9x^{10}}\).

Function is a combination of different types of variable and constants.

A function is denoted by f(x).

The given function is,

f(x) = sin⁻¹(3x⁵)

Differentiate the given function with respect to x

f'(x) = d/dx(sin⁻¹(3x⁵))

The differentiation of sin⁻¹x is  \(1/\sqrt{1-x^2}\),

f'(x) =\(1/\sqrt{1-(3x^5)^2}\cdot d/dx(3x^5)\)

     = \(1/\sqrt{1-9x^{10}}\cdot 15x^4\)

     = \(15x^4/\sqrt{1-9x^{10}}\)

The differentiation of f(x) = sin⁻¹(3x⁵) is  \(15x^4/\sqrt{1-9x^{10}}\).

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Answer:

6.5%

Step-by-step explanation:

The formular used to calculate the cost of preferred stock is:

= Fixed dividend/Net proceeds

Fixed dividend= $50 × 8/100

= $50×0.08

=$4

Net proceeds= Market price-Flotation costs

= $65-(6/100×$65)

= $65-(0.06×$65)

= $65-3.9

= $61.1

Therefore cost of preferred stock is

= 4/61.1 ×100

= 0.065×100

= 6.5%

Hence the cost of preferred stock is 6.5%

Answer:

The percent is 25% or if you want a decimal 0.25%

Answer: the answer is $63.14.

Step-by-step explanation:

I took the test and got it correct.

Answer:

$63.14

Explanation:

I got it right on the test

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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9514 1404 393

Answer:

  \(\displaystyle\sqrt{x+7}-\log{(x+2)}\)

Step-by-step explanation:

It's pretty straightforward. You want ...

  f(x) - g(x)

Substituting the given function definitions gives ...

  \(\displaystyle\boxed{\sqrt{x+7}-\log{(x+2)}}\)

Answer:

37 sin 22 degrees = 12.53

use Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 12.53^2 = 37^2

sqrt a^2 = sqrt 1,212

x = 34.8 or 35

Step-by-step explanation:

Answer:

56cm

Step-by-step explanation:

Ratio = 3 : 5 : 7

Perimeter = 120 cm

Process

# of parts = 3 + 5 +7 = 15

Divide 120 by 15 = 120 / 15

Number of parts  = 8

First side = 3 x 8 = 24 cm

Second side = 5 x 8 = 40 cm

Third side = 7 x 8 = 56 cm

Perimeter = 24 + 40 + 56 = 120 cm

The customer gets 5.66 hours of bike per dollar

At Hoffman's bike, it cost $17 to rent a bike for 3 hours

The number of hours gotten from the bike per dollar can be calculated as follows

17= 3
1= x

Cross multiply both sides

3x= 17

x= 17/3

x= 5.66

Hence it will cost the customer 5.66 hours to rent the bike for one dollar

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Answer:

15

Step-by-step explanation:

The amountt of sugar and salt would be x and 2x

x+2x=45x

so sugar solution =15 and salt solution =30

ratio =2:1 then sugar =30 salt =15

The amount of sugar solution to be added =30-15=15

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

<95141404393>

Answer: 45

Step-by-step explanation:

\(f(-5)=2(-5)^{2} -5\)

\(f(-5)= 2(25) -5\)

\(f(-5) = 50-5\)

\(f(-5) = 45\)

Answer:

see below

Step-by-step explanation:

As sin(t) = -3 / 5 and in quadrant 4

so cos is positive

a) sin^2(t) + cos^2(t) = 1

(-3/5)^2 + cos^2(t) = 1

cos^2(t) = 1 - (9/25)

cos^2(t) = (25 - 9) / 25 = 16/25

cos(t) = +4/5

b) sin(2t) = 2 sin(t)cos(t)

= 2 * (-3/5) * (4/5)

= -24/25

c) cos(2t) = cos^(t) - sin^2(t)

= (4/5)^2 - (-3/5)^2

= 16/25 - 9 / 25

= 7 / 25

d) tan(2t) = sin(2t) / cos(2t)

= (-24/25) / (7/25)

= -24/7

e) as sin(2t) is negative and cos(2t) is positive

2t is in Quadrant 4

I am not sure for below three

f) cos(t) = cos^2(1/2 t) - sin^2(1/2 t) = 4/5

  cos^2(1/2 t) + sin^2(1/2 t) = 1

by adding and solving

1 + 4/5 = 2 * cos^2(1/2 t)

9/10 = cos^2(1/2 t)

cos(1/2 t) = +- 3/\(\sqrt{10}\)

and sin(t) = 2 * sin(1/2 t) * cos(1/2 t) = -3/5

2 * sin(1/2 t) * 3/sqrt{10} = -3/5

sin(1/2 t) = +- 1/sqrt{10}

means here sin and cos for 1/2 t should be opposite signs

so it is either 2nd or 4th quadrant

g) sin( 1/2 t) = +-1/sqrt{10}

h) cos(1/2 t) = +- 3/sqrt{10}

Answer:

the answer is

Step-by-step explanation:

So 12 more than N would be 12 + N.

Answer:

b) 12 + n

Step-by-step explanation:

The statement is,

→ 12 more than a number.

Now equation will be,

→ 12 + n

≈ (or) n + 12

So, option (b) is correct.

Answer:

2 in by 3 in

Step-by-step explanation:

6 divided by 3 = 2, then 9 divided by 3 = 3. So 2 in by 3 in is right.

I also took the test ;)

Answer:

a)

Step-by-step explanation:

\(\dfrac{3p-1}{p^2-1}\)

Factorize the denominator:

\(\implies \dfrac{3p-1}{(p+1)(p-1)}\)

Therefore,

\(\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{A}{p+1}+\dfrac{B}{p-1}\)

\(\implies 3p-1=A(p-1)}+B(p+1)\)

When p = 1:

\(\implies 2=A(0)}+B(2)\)

\(\implies B=1\)

When p = -1:

\(\implies -4=A(-2)}+B(0)\)

\(\implies A=2\)

Therefore,

\(\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{2}{p+1}+\dfrac{1}{p-1}\)

Answer:

Option B

Step-by-step explanation:

We are given the following system of equations -

\(\begin{bmatrix}-5x+2y-2z=26\\ 3x+5y+z=-22\\ -3x-5y-2z=21\end{bmatrix}\)

Now by Cramer's Rule, we would first write down the matrix of the coefficients , replacing each column with the answer column -

\(\begin{bmatrix}-5&2&-2\\ 3&5&1\\ -3&-5&-2\end{bmatrix}\) ,

\(\begin{bmatrix}26\\ -22\\ 21\end{bmatrix}\)

Replace each column of the coefficients shown at the top, with the answer column at the bottom respectively -

\(\begin{bmatrix}-5&2&26\\ 3&5&-22\\ -3&-5&21\end{bmatrix}\)

Now solve through Cramer's Rule -

x = Dx / D = - 6,

y = Dy / D = - 1,

z = Dz / D = 1

Solution = ( - 6, - 1, 1 ) = Option B

-5 x + 2 y - 2 z = 263 x + 5 y + z = -22 - 3 x - 5 y - 2 z = 21

Answer is x=-6,\:z=1,\:y=-1

Answer:

True

Step-by-step explanation:

Only we can control ourselves, but if something is coming in our head and we want to think of something else we can. It could be hard for some but you can with effort

Hope this helps (:

Answer:   True

Step-by-step explanation: Because I got it right on edge

As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.

Confidence interval,

in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.

Given,

in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.

Here we need to find the given statement is true or false.

While we looking into the given question, we have identified that the value of

Confidence interval = 95%

Sample size = 20

Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

Therefore, the statement is in correct.

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Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

The graph of the equation y = -0.5x + 12 will be a straight line

The equation y = -0.5x + 12 represents a linear function

Based on the slope -0.5 this means that as the value of x increases, the value of y will decrease.

Additionally, since the y-intercept is 12, the line will cross the y-axis at the point (0, 12).

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Model B is the most appropriate for the set (-2,3), (-1,-3), (0, -5), (1, -3), (2,3).

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Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

Step-by-step explanation:

x + y = 44

7x + 4y = 257

y = 44 - x

7x + 4(44 -x) = 257

7x + 176 - 4x = 257

3x = 81

x = 27

27 + y = 44

y = 17