For the acute angles in a right triangle, sin(5x)° = cos(3x + 2)°.


What is the number of degrees in the measure of the smaller


angle?

Answer:

D. 64

Step-by-step explanation:

Did you mean: if 2x−3y=3 what is 16x64y? That fraction equals 42x−3y, so the answer would be 43, which is 64.

The cardinality of the sets p(∅), p(p(∅)), and p(p(p(∅))) are 1, 2, and 4 respectively.

a)p(∅) = {x | x ⊆ ∅}

Cardinality of the set is 1, since there is only one subset of the empty set, which is the empty set itself.

b)p(p(∅)) = {x | x ⊆ {∅}}

Cardinality of the set is 2, since there are two subsets of the set containing the empty set, which are the empty set itself and the set containing the empty set.

c)p(p(p(∅))) = {x | x ⊆ {{∅}}}

Cardinality of the set is 4, since there are four subsets of the set containing the set containing the empty set, which are the empty set itself, the set containing the empty set, the set containing the set containing the empty set, and the set containing the empty set and the set containing the empty set.

The cardinality of the sets p(∅), p(p(∅)), and p(p(p(∅))) are 1, 2, and 4 respectively.

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Answer:

2

Step-by-step explanation:

The answer is "The graph is incorrect. He should have shaded ro the right"

Answer:

12

Step-by-step explanation:

Factoring out a 1/4 from 1/4a - 3, you get 1/4 (a - 12) as 12 * 1/4 = 3. Thus, ? = 12.

Answer: 24/28

Step-by-step explanation:

Answer:

4 students

Step-by-step explanation:

32 - 3 = 29

10 + 15 = 25

29 - 25 = 4

Answer:

10

Step-by-step explanation:

To obtain the length of the segment :

a² + b² = c²

a = 8 ; b = 6

8² + 6² = c²

64 + 36 = c²

100 = c²

Square root of both sides :

Sqrt(100) = sqrt(c²)

10 = c

Mistake in the solution is that 6² = 36 and not 12

The probability that a random nonnegative Integer less than 100 is 21/100. The correct answer is C.

To find the probability that a random non-negative integer less than 100 is divisible by 9 or by 11, we need to count the number of integers less than 100 that are divisible by 9 or 11 or both.

There are 11 integers less than 100 that are divisible by 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, and 99.

There are 9 integers less than 100 that are divisible by 11: 11, 22, 33, 44, 55, 66, 77, 88, and 99.

However, the number 99 is counted twice in the above list since it is divisible by both 9 and 11.

Therefore, the total number of integers less than 100 that are divisible by 9 or by 11 is 11 + 9 - 1 = 19.

Since there are 100 non-negative integers less than 100, the probability that a random non-negative integer less than 100 is divisible by 9 or by 11 is 19/100.

Therefore, the answer is (C) 21/100.

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x times y plus x is equal to

xy + x

= x(y + 1)

Answer:

x (y + 1)

Step-by-step explanation:

x times y plus x

= x × y + x

= xy + x

= x (y + 1)

Hope it helps ⚜

Answer:

15 yards amd 3 feet.

Step-by-step explanation:

I wish to get extra three points :)

Answer:

This is 15 yards and 3 feets.

In an analysis of variance (ANOVA), the F-ratio is used to determine whether there are significant differences between the means of two or more groups.

When the null hypothesis is true, it means that there are no significant differences between the group means, and any observed differences are due to random chance.

In this scenario, the F-ratio is balanced in such a way that the numerator and the denominator both measure the same sources of variance.

The F-ratio is calculated by dividing the variability between the group means (numerator) by the variability within the groups (denominator).

When the null hypothesis is true, both the numerator and the denominator represent the same underlying variation.

This ensures that the F-ratio is balanced and close to 1.0, indicating that the group means are similar and any observed differences are likely due to chance.

The balanced F-ratio is a crucial aspect of ANOVA as it allows researchers to assess the significance of group differences accurately.

If the F-ratio deviates significantly from 1.0, it suggests that the observed differences between the group means are unlikely to be due to random chance alone, and the null hypothesis is rejected in favor of the alternative hypothesis.

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The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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Answer:

8

Step-by-step explanation:

S = -7 to V= 1 you count from -7 to 1

By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

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Step-by-step explanation:

The location of the vessel in distress is located in between ship A and ship B,

to the right of ship A and to the top left of ship B

to arrive at the answer we have to understand the cardinal point system.    

kindly find attached a detail sketch of the location of the ships and the point of distress call  

Subtraction is a mathematical operation that reflects the removal of things from a collection. The temperature change from -4.2 to 9.1 is 13.3.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The temperature change from -4.2 to 9.1 is,

ΔT = 9.1 - (-4.2) = 9.1 + 4.2 = 13.3

Hence, the temperature change from -4.2 to 9.1 is 13.3.

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Correct option is B. "Lines 6-11". It provides best evidence for the question mention below in the answer.

"So when a group of graduate students challenged him to come up with new data on the age-old ground-up-tree-down debate, he designed a project 10 to see what clues might lie in how baby game birds learned to fly."

"Which statement best captures KenDial’s central assumption in setting up his research?"

" At field sites around the world, Ken Dial saw a

pattern in how young pheasants, quail, tinamous,

and other ground birds ran along behind their

parents. “They jumped up like popcorn,” he said,

5 describing how they would flap their half-formed

wings and take short hops into the air.

6 "So when a group of graduate students challenged him

to come up with new data on the age-old

ground-up-tree-down debate, he designed a project

10 to see what clues might lie in how baby game birds

11 learned to fly."

.............................................................

Ken called the technique WAIR, for wing-assisted

incline running, and went on to document it in a

wide range of species. It not only allowed young

birds to climb vertical surfaces within the first few

weeks of life but also gave adults an energy-efficient

65 alternative to flying. In the Chukar experiments,

adults regularly used WAIR to ascend ramps steeper

than 90 degrees, essentially running up the wall and

onto the ceiling.

In an evolutionary context, WAIR takes on

70 surprising explanatory powers. With one fell swoop,

the Dials came up with a viable origin for the

flapping flight stroke of birds (something gliding

animals don’t do and thus a shortcoming of the

tree-down theory) and an aerodynamic function for

75 half-formed wings (one of the main drawbacks to the

ground-up hypothesis). "

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a) Radicand is 1/4

b) x= 4.5 or -2.5

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

Given equation is:

16x²-8x+1=0

Now,

(4x)²-2*4x*1 + (1)²=0

Using

(a+b)²= a² + 2ab + b²

So,

(4x)²-2*4x*1 + (1)² = (4x+1)²

x=1/4

b) 4x² - 8x - 45 = 0

Using discriminant method

D = √[(-8)² - 4(4)(-45)]

   = √784

   = 28

Now, x = (1/8)[8 +/- 28]

  = (1/8)(36) = 4.5

or, x = (1/8)(-20)

 = -2.5

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Answer:

The answer for Brand A is 0.09 because if you divide that would be you answer.

Brand B the answer is 0.10 how you do it is the same you divide and this is you answer.

Step-by-step explanation:

The ordered pair which makes both inequalities true is: D. (3, 0).

Here, we have,

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3  

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3  

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3  

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3  

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

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complete question:

Which ordered pair makes both inequalities true?

y > –2x + 3

y < x – 2

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 3) and (1, 1). Everything to the right of the line is shaded.

(0,0)

(0,–1)

(1,1)

(3,0)

Polynomial long division is a method used to divide one polynomial by another in order to find the quotient and the remainder.

This method is often used in algebra and is a crucial tool in understanding polynomials and their properties.

The Polynomial Long Division Calculator is a tool used to perform polynomial long division. It covers two important concepts in algebra: polynomials and division.

Polynomials are mathematical expressions made up of variables and coefficients. They can be used to model a wide range of real-world situations, including curves, relationships between variables, and trends.

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Answer: 6 liters

Step-by-step explanation:

24 liters

He sells 75%

24 x 0.75 = 18 liters

24 - 18 = 6

He still has 6 liters left

Answer:

X = -2

Explanation

12 (x+3) = 12

Answer:

29.5

Step-by-step explanation:

Order from least to greatest

11, 17, 17, 19, 28, 31, 40, 44, 45, 49

Then find the middle number which is 28 and 31 so add the two numbers

28 + 31 = 59

then

59 divided by 2 = 29.5

Answer:

-1

Step-by-step explanation:

-7=n-6

n=-7+6

n=-1

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

9 units

Step-by-step explanation:

In a coordinate plane with point P( x , y) and Q(a,b ).

distance between these are points is given by equation

distance between PQ = \(\sqrt{(x-a)^2 + (y-b)^2}\).

Coordinate of  subway stop = (7,3)

Coordinate of house = (4-5)

Therefore using the above the formula to calculate distance between

house and the subway stop is given by

distance = \(\sqrt{(7-4)^2 + (3-(-5)^2}\\\\=>\sqrt{(3)^2 + (3+5)^2}\\\\=>\sqrt{9 + (8)^2}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{73}\\\\=>8.544\)

Therefore, distance between house and the subway stop is 8.544 units.

But it is given that distance should be to the nearest unit.

any decimal value greater than or equal to .5 is equivalent to 1 in nearest unit.

Thus, 8.544 units is equivalent to 9 units (in nearest unit)

Answer:

1000+2%×1000=1000+20=1020

Answer:

4/10 or 2/5

Step-by-step explanation:

probability of each letter:

J = 0/10

U = 2/10

M = 1/10

P =  1/10