Probability of getting a 12

[tex]{x}^{18}={y}^{21}={z}^{28}[/tex]

3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are in??

[tex]{x}^{18}={y}^{21}={z}^{28} [/tex]

[tex]{x}^{18}={y}^{21}[/tex]

By taking LOG on both sides

[tex]log {x}^{18}=log {y}^{21} [/tex]

[tex]18 log x= 21 log y[/tex]

[tex]2 \ times 3 log x= 7 log y[/tex]

[tex] 3 \dfrac{log x}{log y} =\dfrac{7}{2}[/tex]

[tex]\bold{ 3 log_y x =\dfrac{7}{2}}[/tex]

[tex]{x}^{18}={z}^{28} [/tex]

By taking LOG on both sides

[tex]log {x}^{18}=log {z}^{28} [/tex]

[tex]18 log x =28 log z [/tex]

[tex] 9 log x =7 \times 2 log z [/tex]

[tex] 7\dfrac{log z}{log x} = \dfrac{9}{2}[/tex]

[tex]\bold{7 log_x z= \dfrac{9}{2}}[/tex]

[tex]{y}^{21}={z}^{28} [/tex]

By taking LOG on both sides

[tex]log {y}^{21}=log {z}^{28} [/tex]

[tex]21 log y=28 log z [/tex]

[tex] 3 log y = 4 log z [/tex]

[tex]3 \dfrac{ log y}{logz }= 4 [/tex]

[tex]\bold{ 3 log_z y = 4 }[/tex]

3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are ...in??

[tex]\bold{ 3 log_y x =\dfrac{7}{2}}[/tex]

[tex]\bold{7 log_x z= \dfrac{9}{2}}[/tex]

[tex]\bold{ 3 log_z y = 4 }[/tex]

[tex]3 , \: \dfrac{7}{2 } , \: 4 , \: \dfrac{9}{2}[/tex]

[tex]a_1 = 3 [/tex]

[tex]a_2 = \dfrac{7}{2 } [/tex]

[tex]a_3 = 4 [/tex]

[tex]a_2 = \dfrac{7}{2 } [/tex]

[tex]d \implies a_2 - a_1 = = a_3-a_2 [/tex]

[tex]d \implies 2 a_2 = a_3+a_1 [/tex]

[tex]d \implies 2 \times \dfrac{7}{2}= 7 [/tex]

[tex]d \implies 7 = 7 [/tex]

Answer:

hi

Step-by-step explanation:

i think it is C and sure

Answer:

50

Step-by-step explanation:

Let a = number of balls in bag A.

Let b = number of balls in bag B.

a = 1.2b

a - 5 = b + 5

1.2b - 5 = b + 5

0.2b = 10

b = 50

Answer: 50

Answer: the answer is 50

Step-by-step explanation:

3ax-36x is the correct answer.

Hope it helps!

Answer:

numero 0

Step-by-step explanation:

Porque es cero

Answer:

With what number to start teaching?

Step-by-step explanation:

I like 3, 5, and 7

Answer:

15 : 5 = 3 : 1

Step-by-step explanation:

Answer and work in the picture above

Answer:

6.73

Step-by-step explanation:

55.09-1.25= 53.84

53.84/8=6.73

Answer:

He spend $4.27 i guess

Step-by-step explanation:

prove me wrong

Answer:

[tex] slope (m) = \frac{1 - (-5)}{2 - (-1)} [/tex]

[tex] = \frac{1 + 5}{2 + 1} [/tex]

[tex] = \frac{6}{3} = 2 [/tex]

Step-by-step explanation:

Find the slope (m) using the two points given, (-1, -5) and (2, 1):

[tex] slope (m) = \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (-1, -5) = (x_1, y_1) [/tex]

[tex] (2, 1) = (x_2, y_2) [/tex]

Plug in the values into the equation:

[tex] slope (m) = \frac{1 - (-5)}{2 - (-1)} [/tex]

[tex] = \frac{1 + 5}{2 + 1} [/tex]

[tex] = \frac{6}{3} = 2 [/tex]

Answer:

113.3 pounds

5.17 ft

Step-by-step explanation:

Step one:

given data

weighs 1,360 ounces and is

Height = 62 inches tall.

Required:

We are expected to perform unit conversion

from ounces to pounds

and from inches to feet

Step two:

1 pound is 16 ounces

x pound is 1360 ounces

cross multiply

16x= 1360

x= 1360/16

x= 113.3 pounds

Step three

1 inches is 0.0833333ft

62 inches is x ft

cross multiply

x= 5.17 ft

Answer:

[tex]x\approx24^\circ[/tex]

Step-by-step explanation:

We know that r and s have a combined length of 70. Therefore:

[tex]r+s=70[/tex]

Notice that we can determine r by using the Pythagorean Theorem. In this case, r is the hypotenuse, and 20 and 8 are the legs. Therefore:

[tex]a^2+b^2=c^2[/tex]

Substituting 20 and 8 for a and b and r for c yields:

[tex]20^2+8^2=r^2[/tex]

Compute:

[tex]464=r^2[/tex]

Therefore:

[tex]r=\sqrt{464}=\sqrt{16\cdot 29}=4\sqrt{29}[/tex]

Now, we can determine s. We know that:

[tex]s+r=70[/tex]

So, by substitution:

[tex]s+4\sqrt{29}=70[/tex]

Therefore:

[tex]s=70-4\sqrt{29}[/tex]

Now, notice that, with respect to x, 20 is the opposite side and s is the hypotenuse.

Therefore, we can use the sine ratio. The sine ratio is the ratio between a right triangles opposite side to its hypotenuse.

In this case, the opposite to x is 20, and the hypotenuse is s, or 70-4√29. Therefore:

[tex]\displaystyle \sin(x^\circ)=\frac{20}{s}[/tex]

By substitution:

[tex]\displaystyle \sin(x^\circ)=\frac{20}{70-4\sqrt{29}}[/tex]

Take the inverse sine of both sides:

[tex]\displaystyle x^\circ=\sin^{-1}\Big(\frac{20}{70-4 \sqrt{29}} \Big)[/tex]

Use a calculator. Therefore:

[tex]x\approx24.37^\circ\approx24^\circ[/tex]

Answer:

18 r2

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

for the first answere

Answer:

there is no multiplication, so just 29+ 19b

Answer: i solved it for you, but all you have to do is add this 19b + 29

Step-by-step explanation:

I really hope this helps!! Have an amazing day!! :)

Answer:

13.89 ft/s

Step-by-step explanation:

We know that the cheetah is the fastest land animal on Earth, but what if it were not allowed to run? Biologists model maximum walking speed by the equation = √, where g is the acceleration due to gravity (9.8 m/s2 or 32 ft/s2) and L is the length of the leg (in metric or standard units). In the situations below, use this information to answer the questions.  

(Hint: It will be useful to know 1 m = 3.23 ft for conversions)  

1. Find the maximum walking speed of a giraffe with legs 6.03 feet long.  

Solution:

Speed is the ratio of the total distance travelled to the time taken to reach this distance. Speed is given by the formula:

Speed = distance / time

Given that the maximum walking speed (s) is given by the equation:

= √, where g is the acceleration due to gravity (9.8 m/s² or 32 ft/s²) and L is the length of the leg (in metric or standard units).

The giraffe has a length of leg (L) of 6.03 feet, hence:

s = √(32 ft/s² * 6.03 ft)

s = √192.96

s = 13.89 ft/s

Answer:

x = 4

Step-by-step explanation:

Both A and B are similar

We have no problems with f(x) as it is similar on both plots

A graph of g(x) however shows that it is the second plot that is correct

Thus,

To get the solution , we need the point at which both graphs crosses each other

we can see this at the point x = 4 and thus that is our solution

Answer:

x = -2

Step-by-step explanation:

You want to add 2x on both sides to get to this equation -3x - 2 = 4 with the -2 being negative due to having a positive and a negative sign turning into a negative number.  Add 2 on both sides to get -3x = 6.  Divide -3 on both sides to get your final answer or as your x value which is -2.

Answer:

Step-by-step explanation:

-5x - 2 = -2x + 4

-3x - 2 = 4

-3x = 6

x = -2

Answer: 90%

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

In order to find the percentage of the money Juana spent while shopping, you must take the amount of money spent and divide it by the total amount of money.

$45 dollars spent divided by $50 dollars total will give you your fraction, in decimals:

45 / 50 = 0.90

Multiply by 100% to find your percentage

0.90 * 100% = 90.0%

answer: 711

711.403641819=P

On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. The interest rate on the loan is known as this percentage.

here,

we have

P = 1360;

R = 5.4 ;

T = 12

so, we get,

SI = 1360 X 5.4 X 12 /100

SI =88128/100

= 881.28

Hence, On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.

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Answer:

D

Step-by-step explanation:

Answer:

That’s prolly D

Step-by-step explanation:

Other stuff don’t make sense

Answer:

components: ⟨15, 75⟩, magnitude: about 76

I got this right edge 2020

Component: (15, 75), magnitude about 76 is our correct answer.

Boxes of blue cups moving along a conveyor belt are described by a vector with components (6, 30).

Boxes of red cups are moving along the same conveyor belt but 2.5 times the distance blue cups moved.

We need to find the vector that describes the boxes of red cups and the magnitude of this vector.

A vector is a quantity that has magnitude and direction denoted by:

[tex]V = (V_x, V_y)\\\\Where~~V_x = Vcos\theta~~and~~V_y = Vsin\thetaV_x ~and~V_y~are~ its~ components.[/tex]

Its magnitude is given by:

[tex]|V| = \sqrt{V_x+V_y}[/tex]

Since boxes of red cups move 2.5 times the distance along the same belt as blue cups moved.

We can describe the vector that shows the path of the boxes of red cups as:

= 2.5 x (6, 30)

= ( 2.5x6, 2.5x30 )

= ( 15, 75 )

The magnitude of the vector ( 15, 75 ) is:

[tex]|V| = \sqrt{15^2+75^2}\\\\|V| = \sqrt{225+5625}\\\\|V| = \sqrt{5850}\\\\|V| = 76.48\\\\|V| = 76[/tex]

Rounding 76.48 to its nearest whole number we get,76.

Thus, we have the required vector along with its component as (15, 75) and the magnitude about 76.

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Answer:

a. $57.80

 $66.47

b. $122.46

   $140.829

Step-by-step explanation:

Answer:

2 photographs

Step-by-step explanation:

Mark as Brainliest.

Because I am Indian and solving your question from India.

Your family buys two photographs at a comic convention.

The equations are defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let x be the number of autographs and y be the number of photographs. We know that:

x + y = 5 (the total number of autographs and photographs)

20x + 50y = 160 (the total cost of the autographs and photographs)

We are looking for the number of photographs (y) that your family buys.

We can use the first equation to solve for x in terms of y:

x = 5 - y

Then we can substitute this expression for x into the second equation:

20(5 - y) + 50y = 160

100 - 20y + 50y = 160

50y = 60

y = 12/5

y = 2.4

Since the number of photographs has to be a whole number, we can see that your family buys 2 photographs.

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Answer:

11

Step-by-step explanation:

5 times 3 {subracted by} 2 times 2

15 - 4 = 11

Answer:

The radius of the silo is 5.788 feet.

Step-by-step explanation:

Since the silo has the shape of a cylinder, then;

Volume of the silo = Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

Where: r is the radius of the silo, and h is the height.

Given that: volume = 2106 cubic feet, and height = 20 feet.

Then,

2106 = [tex]\frac{22}{7}[/tex] x [tex]r^{2}[/tex] x 20

2106 = [tex]\frac{440}{7}[/tex][tex]r^{2}[/tex]

2106 x 7 = 440[tex]r^{2}[/tex]

14742 = 440[tex]r^{2}[/tex]

[tex]r^{2}[/tex] = [tex]\frac{14742}{440}[/tex]

[tex]r^{2}[/tex] = 33.5045

⇒ r = [tex]\sqrt{33.5045}[/tex]

     = 5.78831

r = 5.788 feet

The radius of the silo is 5.788 feet.

Answer:

A

Step-by-step explanation:

When the boat headed 21 miles north then 28 miles to the east then back to its starting point, it formed a right angle triangle. And that straight line the question is talking about is the hypotenuse.

Use the Pythagorean Theorem to solve for hypotenuse.

The Pythagorean Theorem states that for any right triangle the following is true: when you take the sum of both of the legs squared it will equal to the hypotenuse squared.

In equation form:  a^2+b^2=b^2

Where the variables a and b are the legs. And the variable c is the hypotenuse.

Plug in the values.

21^2 + 28^2 = c^2

441 + 784 = c^2

1225 = c^2

35 = c

So, the straight line is 35 miles long.