La suma de 3 menos que 5 veces un número y el número aumentado en 9 da 24,cuál es el número?

Answer:

Type I error

Step-by-step explanation:

A type I error is a false positive, which is when a researcher rejects a null hypothesis when it is, in fact, true

A type II error is a false negative, which is when a researcher fails to reject a null hypothesis and accepts it when it is, in fact, false.

The logarithmic expression [tex]\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}[/tex] can be expressed as [tex]\rm 4log_w{(x^2-6)} - {\dfrac{1}{3}}log_w(x^2-8)[/tex].

Given to us

[tex]\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}[/tex]

To solve the problem we will use the basic logarithmic properties,

[tex]\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}[/tex]

Using the logarithmic property [tex]\rm log_a\dfrac{x}{y} = log_ax-log_ay[/tex],

[tex]=\rm log_w{(x^2-6)^4} - log_w{\sqrt[3]{x^2-8}}[/tex]

Using the exponential property [tex]\sqrt[m]{a^n} = a^{\frac{n}{m}}[/tex],

[tex]=\rm log_w{(x^2-6)^4} - log_w(x^2-8)^{\dfrac{1}{3}}[/tex]

Using the logarithmic property [tex]\rm log_aB^x = xlog_aB[/tex],

[tex]=\rm 4log_w{(x^2-6)} - {\dfrac{1}{3}}log_w(x^2-8)[/tex]

Hence, the logarithmic expression [tex]\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}[/tex] can be expressed as [tex]\rm 4log_w{(x^2-6)} - {\dfrac{1}{3}}log_w(x^2-8)[/tex].

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Answer:

C in edge

Step-by-step explanation:

2022

Answer:

  c = 29, A = 48°, B = 54°

Step-by-step explanation:

The unknown side is c. Using the last Law of Cosines formula, we find it to be ...

  c² = a² +b² -2ab·cos(C)

  c² = 22² +24² -2(22)(24)cos(78°) ≈ 840.445

  c ≈ √840.445 ≈ 29 . . . . . rounded to integer

__

The angle at B can be found using the Law of Sines. We want the angle in the numerator, so we can write the equation as ...

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) ≈ arcsin(24/28.9904×sin(78°))

  B ≈ 54°

The remaining angle can be found using the sum of angles of a triangle:

  A +B +C = 180°

  A = 180° -B -C = 180° -54° -78° = 48°

The solution to the triangle is ...

  c = 29, A = 48°, B = 54°

Answer:

12/82 or 6/41

Step-by-step explanation:

Answer:

1. y= 3x+1

2. y= -4x+1

3. y=x-10

Step-by-step explanation:

The length of the instrument storage closet will be 15ft

Given the dimension of Mr. Miller’s band room is 50 ft wide and 75 ft long. In order to get an instrument storage closet that has the same proportions of length and width but is smaller, we can multiply the width and the length by a scale factor.

Using the scale factor of 1/5, the new dimension will be expressed as:

Hence the length of the instrument storage closet will be 15ft

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Answer:

60

Step-by-step explanation:

Ok. first you want to determine the size of each side. 5 x 9 = 45 gets you the rectangle. You already have the tricky part, which is getting the width of the triangle. Now what you do is add  2.5 + 2.5 + 5 for the length, then you can do simple math and say 2.5 + 2.5 + 5 = 10

10 x 3 = length x width = 30, but since it's a triangle divide it by 2 and you'd get 15.

Now all you do is add them together and you get 60

The mean is equal for Group A and Group B.

Two groups of students were asked how far they lived from their school.

The table shows the distances in miles:

Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2

Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8

The mean of any data set or observation is equal to the sum of all the observations and divided by the number of observations.

The formula used to calculate the mean is;

[tex]\rm Mean = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}[/tex]

The mean of group A is;

[tex]\rm Mean = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm GroupA \ mean = \dfrac{1 + 1.5 + 3.03 + 3.2 + 2.8 + 1.5 + 1.8 + 2.5 + 2.2}{9 }\\\\\rm Group A \ mean=\dfrac{ 19.53}{9}\\\\ Group A \ mean = 2.17[/tex]

The mean of group B is;

[tex]\rm Mean = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm Group B \ mean = \dfrac{2 + 2.5 + 3.23 + 1.3 + 1.8 + 2.4 + 3 + 1.5 + 1.8}{9} \\\\Group B \ mean = \dfrac{19.53}{9}\\\\ Group B \ mean = 2.17[/tex]

Hence, the mean is equal for Group A and Group B.

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Using the slope concept, it is found that the ladder reaches a height of 65.96 feet.

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{67^\circ} = \frac{h}{28}[/tex]

[tex]h = 28\tan{67^\circ}[/tex]

[tex]h = 65.96[/tex]

The ladder reaches a height of 65.96 feet.

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Answer:

Yes, they are similar triangles

Step-by-step explanation:

If you make a proportion using vertical side/horizontal side

[tex]\frac{4}{10} =\frac{12}{30} \\[/tex]

If you multiply 4/10 by 3/3 you will get 12/30, so the triangles are similar.

Answer:

m= 2/17

Step-by-step explanation:

do the formula x1 and y1 and x2 and y2

x1, y1   x2, y2

(-11,15) (23,19)

when subtracting you ALWAYS START WITH YOUR Ys

19-15= 4

now subtract your Xs

23- (-11)= 34

now your answer is 4/34

but that's not the last step you can simplify it and make it smaller,

they both go into 2 so know divide both of then numbers by 2

and you should get 2/17

your final answer should be 2/17

Answer:

[tex]Solution,\\Circumference=5\pi m\\Diameter(d)=5\pi /\pi =5m\\Radius(r)=5m/2=2.5m\\Now,\\Area=\pi r^{2} \\Area=\pi *(2.5m)^{2} \\Area=\pi *6.25m^{2} \\Area=6.25\pi m^{2}[/tex]

Step-by-step explanation:

Answer:

A = 139.5 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 9 , b₁ = 12 and b₂ = 2 + 12 + 5 = 19 , then

A = [tex]\frac{1}{2}[/tex] × 9 × (12 + 19) = 4.5 × 31 = 139.5 in²

Answer:

x = 12

Step-by-step explanation:

Step 1: Add 9 to both sides.

Step 2: Divide both sides by 7.

Step 3: Check if solution is correct.

Therefore, x = 12.

Answer:

x = 12

Step-by-step explanation:

This is a multi-step equation.

The first thing we can do is add 9 to both sides, eliminating the -9 from the left side of the equation. Now we have 7x = 84.

You can divide 84 over 7x to get a total of x =12.

Answer:

The number of chicken and cows should be 19 and 11.

Step-by-step explanation:

The number of chicken and cows should be 19 and 11.

Given that,

The farm has 30 chickens and cows, and there are 82 chicken and cow legs all together.

Let x represent the number of chickens in the farm.

Let y represent the number of cows in the farm.

Based on the above information, the calculation is as follows:

x + y = 30

Since a chicken has 2 legs and a cow has 4 legs.

So,  

2x + 4y = 82 - - - - - - - - - - - - 1

Now  

Substituting x = 30 - y into equation 1, it becomes

2(30 - y) + 4y = 82

60 - 2y + 4y = 82

- 2y + 4y = 82 - 60

2y = 22

y = 11

Now

x = 30 - 11

= 19

Answer:

The intercepts of the linear system are

X=0.6

Y=6.2

Step-by-step explanation:

I have solved the system by substitution method and found the intercepts, and since it's linear finidong the x and y intercepts in enough to determine the graph.

Answer:

Complete the ordered pairs:

(0, -2)

(-2, -10)

(4, 14)

(-3, -14)

Step-by-step explanation:

Answer:

[tex]\frac{1}{200}[/tex]

Step-by-step explanation:

Find the derivative of the function when x=3

[tex]y=\sqrt{2(x-1)}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{\sqrt{4}}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{2}[/tex]

Since the change in the value of the function is [tex]dy[/tex] and we know that the change in x is [tex]dx=0.01[/tex], then we have:

[tex]\frac{dy}{dx}=\frac{1}{2}[/tex]

[tex]dy=\frac{1}{2}dx[/tex]

[tex]dy=\frac{1}{2}(0.01)[/tex]

[tex]dy=\frac{1}{200}[/tex]

Therefore, the 2nd option is correct

Answer:

See below

Step-by-step explanation:

[tex]2x+5=9\\2x=4\\x=2[/tex]

[tex]\frac{3}{2}x+1=10\\\\\frac{3}{2}x=9\\ \\3x=18\\\\x=6[/tex]

[tex]0.1x-0.2=0.8\\0.1x=1\\x=10[/tex]

The distance the outfielder must throw the ball to return it to the pitcher is 125 feet.

Given

On a softball field, the home plate is 43 feet from the pitcher’s mound.

A ball is hit at an angle of 27° east of the pitcher’s mound.

The ball travels 162 feet before it is caught by an outfielder.

Distance of the home plate from the pitcher's mound = 43 feet

The angle at which the ball is hit = 27° east of the pitcher's mound

The distance the ball travels before it is caught = 162 feet

The sides, b and c, and the included angle, A, of the triangle drawn are respectively;

b = 43 feet

c = 162 feet

A = 27°

The length of the third side, of the triangle, is the distance from the outfielder to the pitcher.

According to the law of cosines, we have;

a² = b² + c² - 2·b·c·cos(A)

a² = 43² + 162² - 2 × 43 × 162 × cos(27°) ≈ 15679.497105

Approximating to the nearest foot, we get;

a = 125 feet

Hence, the distance the outfielder must throw the ball to return it to the pitcher is 125 feet.

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Answer:

125

Step-by-step explanation: edg 2022

Answer:

the awnser is b

Step-by-step explanation:its b because it x2

Answer:

7

Step-by-step explanation:

I assume that 3,14 is 3.14

=3.14 x (200-175)2 - 150

=3.14 x (25)2 - 150

=3.14 x 50 - 150

=157-150

=7

The solution of the equation is; 7.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given an equation as;

=3.14 x (200-175)2 - 150

We need to solve;

=3.14 x (200-175)2 - 150

=3.14 x (25)2 - 150

=3.14 x 50 - 150

=157-150

=7

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Answer: The answer is 78

Step-by-step explanation: I had just taken the quiz

The measure of angle 2 is 78°. Therefore, option C is the correct answer.

Given that, lines m and n are parallel and intersect transversal t.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the figure given m∠8=78°

m∠8=m∠6 (Vertically opposite angles are congruent)

m∠6=78°

m∠6=m∠2 (Corresponding angles on parallel line are equal)

So, m∠2=78°

The measure of angle 2 is 78°. Therefore, option C is the correct answer.

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Answer:

48t + 60

Step-by-step explanation:

hope this helps!!

Based on the 5 trials, 1 carton of eggs is expected to contain at least one broken egg, on average

From the question, we understand that only one of the first 10 double-digit numbers is between 01 and 08

This means that:

The average carton or the expected value of eggs in the simulation is 1

Hence, 1 carton of eggs is expected to contain at least one broken egg, on average

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As per question,

[tex] \frac{1.51}{4.94} [/tex]

Now, multiply 100 with both numbers :

[tex] \frac{1.51 \times 100}{4.94 \times 100} [/tex]

[tex] = > \frac{151}{494} [/tex]

As if we reguce to lowest term, it will be a very lengthy answer. So,

[tex] \frac{151}{494}[/tex]will ne the answer.

~Benjemin360

Answer:

16.2, 18,2, 20.2, 22.2, 24.2

Step-by-step explanation:

Let

[tex]x[/tex]

represent an even interger.

Remeber that even intergers have a distance of 2 from each other.

So next four consecutive intergers are

[tex]x + 2[/tex]

[tex]x + 4[/tex]

[tex]x + 6[/tex]

and

[tex]x + 8[/tex]

Part 2: Five consective intergers have a sum of 101, and qe must find the numbers so

[tex]x + x + 2 + x + 4 + x + 6 + x + 8 = 101[/tex]

[tex]5x + 20 = 101[/tex]

[tex]5x = 81[/tex]

[tex]x= 16.2[/tex]

Answer:

30%

Step-by-step explanation:

just divide 6 by 20 and u get 30%