The square of a number 60 greater than half of the number. Form a
quadratic equation and solve to determine the possible values of the
number.

Answer:

x = 120

Step-by-step explanation:

x/12 - 9 = 1

Inverse operations

x/12 - 9 = 1

       +9    +9

x/12 = 10

 *12    *12

x = 120

Answer:

x=120

Step-by-step explanation:

Answer:

x = -2 and y = -7

Step-by-step explanation:

If you multiply the second equation by 3, you get -9x + 3y = -3

Then add this to 2x - 3y = 17 and you get -7x = 14; x = -2

Substitute -2 for x into either equation to get the value of y

Given equation is

The quadratic formula for the quadratic equation

is

Here, a=1,b=-8,c=11.

So, the solutions are

So, the correct options are C and E.

Answer:

5 ×3 = 15

15 + (x/6) = 19

4 = x/6

x = 24

Your longitude in DMS is 135 degree. So the option D is correct.

This is because there are 12 hours left in the local time ( i.e. 12 hours noontime or mid-day).

As UT (or GMT) time is 9 p.m., there are 9 hours between GMT time and local time.

9 hours = 9 × 60 minutes = 540 minutes

Now, we know that:

Every four minutes, the Earth turns one degree.

Thus, 1-degree longitude difference = 4 minutes

Or, 4 minutes of time difference = 1 degree of longitude

Or, 1 minute of time difference = 1/4 degree of longitude

Or, 540 minutes of time difference = (1/4) × 540 degrees of longitude

540 minutes of time difference = 135 degrees of longitude

Also, we can infer that the current location is in the Western hemisphere because we know that it is 9 hours behind GMT (or UT) time.

Hence, the longitude of the current location = 135⁰

So the option 4 is correct.

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The complete question is:

Your chronometer is set for Greenwich Mean Time (GMT or Universal Tim, UT). High noon at your present location is 9 pm UT. What is your longitude in DMS (not decimal degrees)?

1. 30° 18'W

2. 30° 16'W

3. 30° 17'W

4. none of the above

Answer:

x=27

Step-by-step explanation:

4(27-2)=100

27-2=25

25*4=100

2(27-2)=50

27-2=25

25*2=50

so, x=27

Answer:Both equations have the same value for x.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

23x-5 + 5x+17 = 180

28x+12=180

28x=180-12

28x = 168

x=168/28

x= 6

Answer:

The cost per duck is $5.00 and $8.00 for chickens

Step-by-step explanation:

The equation would be like this:

50c + 30d = 550 (divide this by 10)

5c + 3d = 55

3d = 55 - 5c (multiply by 3)

9d = 165 - 15c

Next,

44c + 36d = 532 (divide this by 4)

11c + 9d = 133

11c + 165 - 15c = 133

11c - 15c = 133 - 165

-4c = -32 (divide by -4)

c = 8

Therefore, the cost of each chicken is $8.00

9d = 165 - 15c

9d = 165 - 15(8)

9d = 165 - 120

9d = 45 (divide by 9)

d = 5

Answer: 19

Step-by-step explanation:decrease this is really easy truest me wait actually dine lmoa hahah

Answer:

=9*4r

=36r

Step-by-step explanation:

36r is the answer

Answer:

9 x r

9 x r

9 x r

9 x r

9r + 9r + 9r + 9r = 36r

Answer:

Not really. No.

Step-by-step explanation:

15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.

Hope this helps and have a nice day!

42 red blood cells are needed to make a line 1 inch long

The diameter of a red blood cell is 6 x \(10^{-6}\) m,

so we need to determine how many cells can fit in a

line 1 inch long (2.54 x\(10^{-5}\) m).

Dividing the length by the diameter gives the number of cells:

2.54 x \(10^{-5}\) m / 6 x \(10^{-6}\) m = 42.33.

So, approximately 42 red blood cells are needed to make a line 1 inch long.

This highlights the small size of red blood cells and the remarkable ability of the human body to produce and maintain billions of these cells for proper blood circulation and oxygen delivery.

Red blood cells, also known as erythrocytes, are one of the main types of blood cells. They are biconcave discs with a diameter of about 7.5 micrometers, and their primary function is to transport oxygen from the lungs to the tissues and carbon dioxide from the tissues to the lungs.

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Answer:

250

Step-by-step explanation:

Answer:

7662247+20728678=28290925+33807580=620985505

Answer:

3

Step-by-step explanation:

Hard to see but pretty sure thats it

To find the volume of the smaller figure, we need to use the fact that the two figures are similar. This means that they have the same shape, but are different sizes.

Specifically, if the scale factor between the two figures is k, then the ratio of their volumes is k^3. We are given the surface areas of the two figures: 212 in^2 for the smaller figure, and 1325 in^2 for the larger figure. Since the figures are similar, the ratio of their surface areas is the square of the scale factor. That is,

(Scale factor)^2 = (Surface area of larger figure) / (Surface area of smaller figure) = 1325/212

Solving for the scale factor, we get:

(Scale factor)^2 = 6.245

Scale factor = sqrt(6.245) = 2.5

This means that the larger figure is 2.5 times bigger in each dimension than the smaller figure. Therefore, the ratio of their volumes is (2.5)^3 = 15.625. We are given the volume of the larger figure, which is 3375 in^3. To find the volume of the smaller figure, we need to divide this by the ratio of the volumes:

Volume of smaller figure = (Volume of larger figure) / (Ratio of volumes) = 3375 / 15.625 = 216 in^3

Therefore, the volume of the smaller figure is 216 in^3.

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Answer: A

3/4 equals 6/8 and 9/12 and 12/16

Answer:

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Explicación paso a paso:

Para que una relacion sea proporcional

a:b = c:d

en otra forma

a/b = c/d

______________________________________________

Proporción para el primer tipo de tejido

costo de tela/ área de tela = 31.25/5 = 6.25

Ratio para otro tipo de tejido

costo de tela/ área de tela = 71.50/11 = 6.5

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Step-by-step explanation:

For a andrea's record label released her new album, the simplified inequality of absolute value inequality in terms of t is equals to the t ≥ 10. The graph which represents the inequlity is option(b).

Andrea's record label released her new album. Now, she wants to know the sales of at least $20,000 per week. The equation where sales will be at least 20,000 amount is written as 20,000≤ 1000(-2|t - 15| + 30). We have to solve this inequality. Now, the inequality is written as 20,000 ≤ 1000(-2|t - 15| + 30)

dividing by 1000 both sides, \( \frac{20,000 }{1000} ≤ (-2|t - 15| + 30) \)

=> 20 ≤ (-2|t - 15| + 30)

Substracts 20 from both sides

=> 20- 30 ≤ -2|t - 15| + 30 - 30

=> -10 ≤ -2|t - 15|

dividing by (-2) by both sides in above equation,

=> 5 ≤ | t - 15 |

=> -(t - 15) ≤ 5 ≤ (t - 15)

=> - t + 15 ≤ 5 ≤ t - 15

=> - t + 15≤ 5 or 5 ≤ t - 15

=> -t ≤ - 10 or 15 ≤ t

=> t ≥ 10

Hence, required graph is present in option(b)

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Complete question:

Andrea's record label released her new album. Andrea wants to know when she has sales of at least $20,000 per week She uses the related equation below to determine when sales will be at least this amount where t represents time in weeks, 20,000≤ 1000(-2|t - 15| + 30). If you simplify the inequality above to a simple absolute value inequality in terms of t (by getting |t - 15| by itself on one side) which of the following graphs represents the solution set to that inequality?

Answer:

x = 6

Step-by-step explanation:

(2×/×+3)- (×/×-3)=(3÷3-×)​

2x/x+3-x/x+3= 1-x

2 + 3 - 1 + 3 - 1 = x

8-2 = x

x = 6

Step-by-step explanation:

5x+6x=70-4

11x=66

x=66/11

x=6

Answer: B (40,320)

Step-by-step explanation:

I am learning the same stuff.

But you take 8 to the factorial (!) and you end up getting 40,320

Answer:

x= -1, 3

Step-by-step explanation:

the x-intercept is when y = 0

Answer:

437.3ft

Step-by-step explanation:

last of sines

a/sin(A) = b/sin(B) = c/sin(C)

sin(90) = 1

the angle between y and 500ft side is 90-29 = 61 degrees.

so,

x/sin(61) = 500/1 = 500

x = 500 × sin(61) = 437.3ft

In a triangle, value of \(x = 437.4\) units (round to nearest tenth) using trigonometric ratio.

"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."

Formula used

\(sin\theta = \frac{opposite sides}{hypotenuse}\)

\(cos\theta = \frac{adjacent sides}{hypotenuse}\)

According to the question,

In a given right triangle ABC,

Hypotenuse \(=500 ft\)

Opposite side \(= x ft\)

Adjacent side \(= y ft\)

As per the diagram drawn,

 \(\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°\)

Substitute the value in the above trigonometric ratio formula we get,

\(sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft\)

\(\implies x = 435.4 ft\) (round to nearest tenth)

In trigonometric ratio \(cos\theta\) we get,

\(cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft\)

Hence , In a triangle, value of \(x = 437.4\) units (round to nearest tenth) using trigonometric ratio.

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Answer:

$669.93

Step-by-step explanation:$669.93

Answer:

Need more information to this question.

Step-by-step explanation:

Answer: need way more information

Step-by-step explanation:

^

Answer:

Option A.

Step-by-step explanation:

A 30° - 60° - 90° triangle is a Right Triangle that has special side measures.

Let's summarize the sides in a ratio.

\(Short \ Leg: Long \ Leg: Hypotenuse\\x:x \sqrt{3} : 2x\)

The short leg is just x.

The long leg is multiplied by \(\sqrt{3}\).

The hypotenuse is double of the short leg.

For example, if the short leg is 2;

\(Short \ Leg = 2\\Long \ Leg = 2\sqrt{3} \\Hypotenuse = 4\)

Let's look at the 4 options provided. We should check if the values of the sides match with a 30° - 60° - 90° triangle.

Option A has a short leg with the value of 5.

The long leg is correct, it's multiplied by \(\sqrt{3}\).

The hypotenuse is correct, it's double of the short leg.

Option A is correct!

Option B has a short leg with the value of 5.

The long leg is correct, it's multiplied by \(\sqrt{3}\).

The hypotenuse is incorrect, it's triple of the short leg.

Option B is incorrect.

Option C has a short leg with the value of 5.

The long leg is incorrect, it's multiplied by \(2\sqrt{3}\).

The hypotenuse is correct, it's double of the short leg.

Option C is incorrect.

Option D has a short leg with the value of 10.

The long leg is incorrect, it's multiplied by \(\frac{1}{2} \sqrt{3}\).

The hypotenuse is incorrect, it's \(1 \frac{1}{2}\) of the short leg.

Option D is incorrect.

Our only 30° - 60° - 90° triangle is Option A.

Answer:

1,000 pencils  

Step-by-step explanation:  

First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

Distance = 75 units between t=0 and t=5. To find how far the particle travels between t=0 and t=5, we need to calculate the total distance traveled by the particle.

The distance traveled is equal to the total displacement, which can be found by taking the absolute value of the difference between the initial and final positions.

The initial position of the particle at t=0 is:

S(0) = 0^3 - 3(0)^2 - 2 = -2

The final position of the particle at t=5 is:

S(5) = 5^3 - 3(5)^2 - 2 = 73

Therefore, the total displacement of the particle is:

ΔS = |73 - (-2)| = 75

So the particle travels a total distance of 75 units between t=0 and t=5.

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