A basketball player plays 1, 481 minutes the first year of his career, 2, 683 minutes the second year of his career, and 3, 316
minutes the third year of his career. How many minutes has he played in three years

The values of a=60, b=750, c=3, a+b+c= 813 as determined by Pythagorean Theorem..

What is Pythagorean Theorem?

A geometric theorem states that the square of a right triangle's hypotenuse equals the sum of the squares of its other two sides.

Call the circle's center O, the unicorn's tether point A, and the final spot where the rope reaches tower B. Triangle OAB is a right triangle since BA is a tangent line at point B and OB is a radius. We determine the horizontal component of AB has length [tex]4\sqrt{5}[/tex] using the Pythagorean Theorem.

The cylinder is "unrolled" to become a flat surface. Let C be the rope's bottom tether, D the point below A on the ground, and E the point directly beneath B. Triangles CDA and CEB share characteristics of right triangles. The Pythagorean Theorem states that CD=8cdotsqrt6.

Let x represent the size of CB.[tex]CD=8\cdot\sqrt{6}[/tex]

[tex]\[\frac{CA}{CD}=\frac{CB}{CE}\implies \frac{20}{8\sqrt{6}}=\frac{x}{8\sqrt{6}-4\sqrt{5}}\implies x=\frac{60-\sqrt{750}}{3}\][/tex]

Therefore,

a=60, b=750, c=3,a+b+c= 813 as determined by Pythagorean Theorem.

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The population of the dark city in 2015 will be 449,245.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The dark city had a population of 350,000 in 1990 and has increased exponentially since then, to 475,000 in 2008. Then the equation will be

350,000 = a(b)      ...1

475,000 = a(b)¹⁸      ...2

From equations 1 and 2, then we have

475,000 / 350,000 = b¹⁷

b = 1.018

Then the value of the variable a will be

350,000 = 1.018a

a = 343768.87

Then the equation will be

y = 343,768.87 (1.018)ˣ

The population in 2015 will be

y = 343,768.87 (1.018)¹⁵

y = 343,768.87 x 1.3068

y = 449,245

The population of the dark city in 2015 will be 449,245.

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Greetings from Brasil...

The small green lines on the line segments indicate that TR = RA, as well as the small red lines indicate that MR = RH, then

TR = RA

3X + 5 = X + 17

X = 6

Answer:

a power function is a function with a single term that is the prudoct of a real number

Answer:

-1/5

Step-by-step explanation:

Minus a negative is plus.

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

= -3/5 + 2/5

= -1/5

Answer:

204 ÷ 34 = 6

Step-by-step explanation:

204 ÷ 34 = 6

Check:

34

x 6

------

204

hope this helps :)

Answer : 6

Explanation :

34 + 34
68
68 + 34
102
102 + 34
136
136 + 34
170
170 + 34
204

OR just simply use Multiplication
34 x 6

The solution set of the equation 3X=-6/1-X for x # 1 is {-2,1)

3x = -6/(1-x)

3x(1-x) = -6

3x – 3x2 = -6

Taking 3 as common from both sides

x –x2 = -2

x2 – x +2 =0

Using factorisation method we will get two factors

Factoring quadratics is a method of expressing the quadratic equation ax2 + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax2 + bx + c = 0. This method is also is called the method of factorization of quadratic equations. Factorization of quadratic equations can be done using different methods such as splitting the middle term, using the quadratic formula, completing the squares, etc.

( x – 2)(x+1)=0

So, x = 2 , -1

Now, when x ≠ 1

The solution of the equation will vary from {-2,1) .

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Answer:

Step-by-step explanation: lengthxwidth

Answer:

15 points

Step-by-step explanation:

It's 60 points over 4 days. We can divide 60 by 4, which is

15

Answer:

The first, third, and fourth.

Step-by-step explanation:

Those answers involve scaling the measurement up, which requires a positive power of 10. For scaling down, you'll need a negative power of 10, e.g., 2x10^-2=0.02.

Answer: 5y + x + 12

Step-by-step explanation:

9y + 3 - 4y + x + 9

Group together 9y and -4y

5y + 3 + x +9

Group together 3 + 9

5y + 12 + x

Reorder the expression.

5y + x + 12

The coordinates of the image of the point (- 4, 5) is (- 5, 15).

In this question we find the coordinates of the original point and the translation vector. Please notice that translations are examples of rigid transformations, meaning that Euclidean distance is conserved in the resulting image. A translation can be done by the following formula:

P'(x, y) = P(x, y) + T(x, y)

Where:

If we know that P(x, y) = (- 4, 5) and T(x, y) = (- 1, 10), then the resulting point is:

P'(x, y) = (- 4, 5) + (- 1, 10)

P'(x, y) = (- 5, 15)

There is a typing mistake in the statement. Correct form is shown below:

(- 4, 5) is translated by the vector (- 1, 10). What coordinate would it be at?

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The statement that is true is completing the solution for the equation is the same as completing the solution for the inequality. The student would divide both sides by -2 in either case. Option A

From the information given, we have that;

The linear equation is ;

-2x + 3 = 6

Let's solve for x

First, collect like terms

-2x = 6 - 3

-2x = 3

Divide both sides by - 2

x = 3/ -2

The linear inequality is;

-2x + 3 < 6

collect like terms

-2x < 6 - 3

Make 'x' the subject by dividing both sides by -2

-2x/ -2 = 3/ -2

x = 3/ -2

We can see that the linear equation and the linear inequality have the same solution and steps.

Thus, the statement that is true is completing the solution for the equation is the same as completing the solution for the inequality. The student would divide both sides by -2 in either case. Option A

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The major difference between inequality and equality is that equality represents a particular value(s) while inequality represents a range of values that are in a specific direction.

This must be noted when solving questions on equality and inequality.

For example:

x  =  a means that the value of x is a. It represents a particular value which is a

x  <  a represents all the values  that are less than a.

x  ≤ a  represents values from a and below.

x  >  a represents all the values that are greater than a

x ≥ a means that the values of x are greater than or equal to a.

From the examples given above, it is obvious that a change in the direction of the inequality sign changes the values of the data represented by the inequality.

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Answer:

Im sleepy. How are you?

Answer:

oh thx im good how are you

Step-by-step explanation:

Answer:

-98

Step-by-step explanation:

-412 + 314 = 314 -412

= -98

Tip:

Write the opposite symbol in the equation, then in the answer, write the opposite symbol

Just do 412 - 314

which is 98

opposite of 98 is -98

Answer is -98

If [tex]h(x)=\frac{-5}{6} x+\frac{7}{8}[/tex]  then the value of h(3) = -13/8  , h(4) = -59/24 ,  h(-1/2) = 31/24 .

In the question , the equation is given as

[tex]h(x)=\frac{-5}{6} x+\frac{7}{8}[/tex]      ....(i)

Part(a)

To find the value of h(3)

we substitute the value of x=3 .

On substituting the value of x=3 in equation (i),

we get ,

h(3) = (-5/6)3+7/8

= -15/6+7/8

taking LCM of 6 and 8 as 24, we get

= -60/24 + 21/24

= (-60+21)/24

= -39/24

Writing in the simplest form we get

= -13/8

so, the value of h(3)= -13/8 .

Part(b)

for h(4) ,we substitute the value of x=4 .

On substituting the value of x=4 in equation (i) ,

we get ,

h(4) = (-5/6)4+7/8

= -20/6+7/8

taking LCM of 6 and 8 as 24, we get

= -80/24 + 21/24

= (-80+21)/24

= -59/24

so , the value of h(4)= -59/24 .

Part(c)

for h(-1/2) ,we substitute the value of x as -1/2 .

On substituting the value of x = -1/2 in equation (i) ,

we get ,

[tex]h(\frac{-1}{2} )=\frac{-5}{6} *\frac{-1}{2} +\frac{7}{8}[/tex]

= 5/12 +7/8

taking LCM of 12 and 8 as 24, we get

= 10/24 + 21/24

= (10+21)/24

= 31/24

so , the value of h(-1/2)= 31/24 .

Therefore , if h(x) = (-5/6)x+7/8 the the value of h(3)= -13/8  , h(4)= -59/24 and h(-1/2)= 31/24 .

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There is space to identify the important talents, abilities, and competencies a person will need because every company aims to attain financial stability by streamlining its operations using resources.

Every firm strives to achieve financial stability by streamlining its operations with resources, thus there is room available to identify the critical talents, abilities, and competencies a person will require.

Due to the advancement of financial deregulation, many nations around the world have experienced the benefits of rapid financial industry growth since the 1980s.

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To solve for x in: [tex]2x + 8 = 3x + 10[/tex]

Collect like terms

[tex]→8 - 10 = 3x - 2x \\ - 2 = x[/tex]

Therefore:

[tex]x = - 2[/tex]

Answer:

Since we need to Round the Nearest Tenths, First we need to find what is the thenths.

So the order of numbers are

Hundreds - Tens - Ones - . - Tenths - hundreths

So tenths is the digit after the decimal Dot

When we convert .964 to the nearest tens

since there is .064, the number will be greater than .964

so the rounded number will be 1.000

we did this with only .964m but when we add 28.964 then the answer will be

28.000 = 1.000 - 29.000

Hope U will be clear

Answer:

10

Step-by-step explanation:

Distance formula:

d = √(x₂-x₁)²+(y₂-y₁)²

A (1,2) D (4,3)

d = √(4-1)²+(3-2)² = 3.16227766

All 4 sides of a square are equal lengths.

The equation for the area of a square:

A = a²

A = (3.16227766)² = 10

Answer: D = -6

Step-by-step explanation:

[tex]\frac{D-8}{-2} =12[/tex]  

1) Divide both sides by -2

[tex]D - 8=-6[/tex]

2) Add 8 to both sides

[tex]D=-6[/tex]

Answer:

188.57 in

Step-by-step explanation:

Circumference = 2πr = 2πd/2 = πd

[tex] = \frac{22}{7} \times 60 \: in[/tex]

= 188.57 in ( approx.)

Answer:

y=-1/3x+1

Step-by-step explanation:

Slope-Intercept Form: y=mx+b

m is the slope

b is the y-intercept

In the given statement it tells us the point is (-3,1).

-3 is the x-intercept while 1 is the y-intercept

In the given statement it tells us the slope is -1/3

Plug in the m for -1/3 and the b for 1

y=-1/3x+1

Hope this helps.

Answer:

26 cups

Step-by-step explanation:

1 quart = 4 cups

6 quarts x 4 cups =  24 cups

1/2 a quart = 2 cups

Answer:

12

Step-by-step explanation:

The equation that illustrates the amount to be paid for the number of kilometers will be 7.25 + 7x.

Fixed rate for taxi = 7.25

Additional charges per kilometers = 7

Number of kilometers = x

Therefore, the equation that illustrates the amount to be paid for the number of kilometers will be:

= 7.25 + (7 × x)

= 7.25 + 7x

Therefore, the equation is 7.25 + 7x.

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Answer:

I will be your human calculator! top to bottom!

1. (+1)     5. (+28)  9. (+8)

2. (+4)    6. (+3)   10. (-5)

3. (+14)   7. (+24) 11. (+6)

4. (-3)      8. (-3)     12. (+1)!    Good Luck!

Answer:

5 acute

6 acute

3 obtuse

4 obtuse

Step-by-step explanation:

Hope this helps