Solve for the value of q. 780 (59+2)

when drawing a line use arrows to show that the line continues endlessly in both directions.

The evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸) + C.

So,

Therefore, the evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸)+C.

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The correct question is given below:

Evaluate the indefinite integral. (use c for the constant of integration.)

x⁷/1+x¹⁶ dx

The total square footage (area) of the apartment is 337 square feet.

It is given in the question that, In a small apartment:-

Dimensions of the bedroom = 10 ft by 10ft

Dimensions of the bathroom = 5 ft by 5 ft

Dimensions of the living room/kitchen = 14 ft by 18 ft

We have to find the total square footage (area) of the apartment.

We know that,

Area of square = [tex]side^2[/tex]

Hence,

Area of the bedroom = 100 square feet

Area of the bathroom = 25 square feet

Area of the living room/ kitchen = 212 square feet

Hence,

Total square footage of the apartment = 100 + 25 + 212 = 337 square feet.

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He can make 2 meat balls from the remaining turkey.

Total pounds of ground turkey available = 3 pounds.

Turkey used to make 6 meat ball = 3 / 8 of 3 pounds = 9 / 8 pounds

Turkey used to make 1 meat ball = 9 / 8 ÷ 6 = 3 / 16

1 / 8 meat = 1/ 8 of 3 = 3 / 8 pound of meat.

Number of meatballs made = 3 / 8 × 16 / 3 = 2

Therefore, he can make 2 meat balls from the remaining turkey.

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-16m - 72k + 104  is the simplified expression .

What does a math expression mean?

the simplified expression of -8(2m + 9k-13)

 = -8(2m + 9k-13)

 = -16m - 72k + 104

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The scientific results to 5.97 x [tex]10^{24}[/tex] kg is the Earth's mass.

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Answer:

SHOWN BELOW!!!!

Step-by-step explanation:

KEEP IN MIND ----> *Square root of a number is a value, which on multiplication by itself gives the original number. The square root is an inverse method of squaring a number.*

Alright so the first equation C^2 - 49 = 0

Step 1 : Add 49 to both sides

C^2 - 49 + 49 = 0 + 49

C^2 = 49

Step 2 : Take the square root

(squ root) C^2 = (squ root)49

C = +/- (squ root) 49

Final answer ---> C = 7 OR C = -7

2.) 4S^2 - 100 = 0

Step 1 : Add 100 to both sides

4S^2 - 100 + 100 = 0 + 100

4S^2 = 100

Step 2 : Divide both sides by 4

4S^2/4    =   100/4

S^2 = 25

Step 3 : Take the square root

(squ root) S^2 = (squ root) 25

S =  +/- (squ root) 25

Final answer ---> S = 5 OR S = -5

3.) 9x^2 = 324

Step 1: Divide both sides by 9.

9x^2/9 = 324/9

x^2 = 36

Step 2: Take the square root

squ root) x^2 = (squ root) 36

x = +/- (squ root) 36

Final answer ---> x = 6 OR x = -6

It would cost-

In common parlance, cost is the monetary value of products and services purchased by producers and consumers.

Total cost = (fixed cost) x Number of units produced.

The cost of a bag of popcorn for $5.50.

The number of popcorn bags bought are 5.

Total cost for 5 bags of  popcorn are-

$5.50 ×5 = $27.50.

Thus, Total cost for 5 bags of popcorn bags are $27.50.

The cost of 1 drink is $3.50.

The total number of drinks bought is 7.

Total cost = $3.50×7 = $24.50

Thus, the total cost for the drinks is $24.50.

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Answer:

40g/25ml

Step-by-step explanation:

The density formula is Mass/Volume. The rock is stated to have a mass of 40g, and the 20ml of water was displaced by 25ml, so, the rock has a volume of 25ml.

Answer is 54. Here is a trick for you. Write 63 as a fraction, with the denominator as 1. 63/1. Then insert the fraction you are calculating, 6/7: (6*63)/7*1. Do the multiplication, 6*63=378, 7*1=7. Then write as 378/7. What's 378/7? Your answer 54.

f(-3) = -1

We can find an unknown y-value by plugging an x-value into a given function.

Function Notation

Before we answer this question, we need to understand the notation of the equation. In function notation, the equation is given in terms of f(x).

For example, f(-3) represents the value of y when x = -3.

Finding f(3)

As stated above, to find f(-3) we need to plug -3 in for x. *Remember to use PEMDAS when solving.* This creates the new equation:

Then, distribute the exponent.

Next, multiply.

Distribute the negative.

Finally, add the remaining terms.

This means that when x = -3, y or f(-3) = -1.

Answer:

It affects it by profit for 100 downloads is for $90 greater.

Step-by-step explanation:

Profit - 90% * revenue - 50

p(x) - 0.9 * f(x) - 50

=0.9 * 3x - 50

=2.7x - 50

Now find the profit for 100 downloads: p(100) = 2.7 * 100 - 50 =220

220 - 130 = 90

Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

[tex]3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}[/tex]

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

[tex]\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}[/tex]

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

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Answer:

Step-by-step explanation:

the awnser is cerrot.

Law of Detachment can't be applied here.

The Law of Detachment says that we must detach ourselves from the result or outcome in order to allow what we desire to materialize in the physical universe. When we have done our part, we must learn to let go of the outcome for things to materialize. And once we do let go, it's when things materialize.

Given:

If you can play the piano, then you can play a musical instrument.

kiyo can play a musical instrument.

So, as Kiyo can play a musical instrument, that does not necessary mean he can play a piano.

There could be any other musical instrumental, not only piano.

So, the hypothesis do not have to be true.

Hence, the condition is not fulfilled,  Law of Detachment can't be applied here.

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Answer:

a , b , e , f

Step-by-step explanation:

Answer: 49,000  molecules = 4.9*10⁴  molecules

Step-by-step explanation:

49,000=

49*10³=

4.9*10⁴ molecules

Given ~

[tex] \tt \: f(x) = 2x² – 3x – 1[/tex]

[tex] \: [/tex]

put the value of x=8 in given function ~

[tex] \tt \: f(8) = 2 ({8})^{2} - 3(8) - 1[/tex]

[tex] \: [/tex]

[tex] \tt \: f(8) = 2 (64) - 3(8) - 1[/tex]

[tex] \: [/tex]

[tex] \tt \: f(8) = 128 - 24 - 1[/tex]

[tex] \: [/tex]

[tex] \tt \: f(8) = 104 - 1[/tex]

[tex] \: [/tex]

[tex] \underline { \boxed{ \tt \red{f(8) = 103}}}{ \green ✓}[/tex]

[tex] \: [/tex]

hope helps ~

The indicated function value is f(6²) = -72

The function definitions are given as

f(x) = -2x

g(x) = 2x+ 5

h(x) = x^2 + 3x - 10

The function f(6²) means that x = 6² in f(x)

So, we have

f(6²) = -2(6²)

Evaluate

f(6²) = -72

Hence, the indicated function value is f(6²) = -72

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Answer:

Exact Form:

y = 31/6, −13/6

Decimal Form:

y = 5.16,−2.16

Mixed Number Form:

y = 5 1/6,−2 1/6

Answer:

1.  -10x+36

2.  24x+121

3.  2x-8xy+32y

4.  50x-10xy+y^2

Step-by-step explanation:

i think dis right

Answer:

see explanation

Step-by-step explanation:

using the following expansions

a² + 2ab + b² = (a + b)²

a² - 2ab + b² = (a - b)²

1

x² - 12x + 36

with a = x and b = 6 , then

x² - 12x + 36 = x² - 2(x)(6) + 6² = (x - 6)²

2

x² + 22x + 121

with a = x and b = 11 , then

x² + 22x + 121 = x² + 2(x)(11) + 11² = (x + 11)²

3

x² - 8xy + 16y²

with a = x and b = 4y , then

x² - 8xy + 16y² = x² - 2(x)(4y) + 16y² = (x - 4y)²

4

25x² - 10xy + y²

with a = 5x and b = y , then

25x² - 10xy + y² = 25x² - 2(5x)(y) + y² = (5x - y)²

Answer:

66

Step-by-step explanation:

1. x + 4 = 0 or x + 7 = 0

x = -4 or x = -7

2. 3x - 7 = 0 or 2x + 5 = 0

x = 7/ 3 or x = -5/ 2

3. x + 5 = 0 or x -8 = 0

x = -5 or x = 8

4. (x - 6) = 0 or (3x + 7) = 0

x = 6 or x = -7/ 3

5. 5x + 2 = 0 or 2x + 1 = 0

x = -2/ 5 or x = -1/ 2

1. (x+4)(x+7)=0

We have that;

Zero product property;

x + 4 = 0 or x + 7 = 0

x = -4 or x = -7

2.  (3x-7)(2x+5)=0

We have that;

Zero product property ;

3x - 7 = 0 or 2x + 5 = 0

x = 7/ 3 or x = -5/ 2

3. x² -3x - 40=0

x² -8x + 5x - 40 = 0

factorize the common multipliers

x(x - 8) + 5(x - 8) = 0

Zero product property;

x + 5 = 0 or x -8 = 0

x = -5 or x = 8

4. 3x² - 11x - 42=0

3x² +7x - 18x - 42 = 0

Factorize further

x(3x + 7) - 6(3x + 7) = 0

Zero product property;

(x - 6) = 0 or (3x + 7) = 0

x = 6 or x = -7/ 3

5. 10x² + 9x + 2 = 0

10x² + 5x + 4x + 2 = 0

Factorize

5x( 2x + 1) + 2 (2x + 1) = 0

Zero product property;

5x + 2 = 0 or 2x + 1 = 0

x = -2/ 5 or x = -1/ 2

Thus, the zero product property states that the product of two non-zero elements is not zero

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The next consecutive binary value of 1011 = 1100

Binary numbers only consist of two digits: 0 and 1. So there are some specific rules for addition in binary. They are:

Here 1011 is a binary number and to find the its next consecutive binary value, we have to add 1 to 1011.

i.e., 1 0 1 1 +

              1

------------------

    1 1 0 0

The 0 in the one's place is got by adding 1 + 1 = 10 and 1 is supposed to be a carry to the ten's place. The 0 in the ten's place is got from adding this carry 1 and 1, which again gives 10 and 1 is carry to next place. Now 0 + 1 = 1 and finally we get, 1011 + 1 = 1100.

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Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.

Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.

Ricardo tarda 5 minutos en dar la vuelta a la manzana.

Rena tarda 6 minutos en dar la vuelta a la manzana.

Digamos que los tres comienzan el viaje desde el mismo punto A.

Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.

Por lo tanto,

Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.

Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.

Todas se reúnen después de 6 minutos en la salida.

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Answer:

81

Step-by-step explanation:

Red marbles = r

Black marbles = b

Red : Black

60  :   40

  r   :   b              

40r = 60b

r = (60/40)b

Red : Black

 4   :    3

 r    :  b + 9        

3r = 4(b+9)

3r = 4b + 36

3((60/40)b) = 4b + 36

(9/2)b = 4b + 36

(9/2)b - 4b = 36

(1/2)b = 36

b = 72  This is the original amount of black marbles

They added 9 after this, so

72 + 9 = 81

The number of days on Earth, in decimal form that, are equivalent.to 9 years on Venus will be 2022.3 days.

From the information, one year on Venus is equivalent to 224.7 days on Earth.

Therefore, the number of days on Earth, in decimal form that, are equivalent to 9 years on Venus will be:

= 224.7 × 9

= 2022.3 days.

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Answer:

2022.3

Step-by-step explanation:

Answer:

A.

         √10 ≈ 3

          2 × 3 ≈ 6

         √25 = 5

         √4 = 2

          5 × 2 = 10

         [tex]\frac{300}{3}=100\\\sqrt{100}\\100=10^2\\\sqrt{10^2}\\\sqrt{10^2}=10[/tex]

         [tex]1000=10^3\\\sqrt[3]{10^3}\\\sqrt[3]{10^3}=10(\mathrm{Radical\:rule)}\\[/tex]

Thus,

option A. is correct.

Answer:

D

Step-by-step explanation:

Integers found in:

A: -5, 9/3 = 3

B: 4

C: -12

Hope this helped! ^^

 y =  -3 ( x - 1 )² + 9 is  quadratic function in standard form Vertex .

How does a parabola's vertex shape work?

given ,   Vertex =  (1,9)

              point =  (4,6)

The formula is  

              y = a + ( x - h )²  + k

where  h = 1  , k = 9

then    y = a ( x - 1 )² + 9

Find the value of

a when one of the points is  ( 4,6)

  6 = a ( 4 - 1 )²  +  9

  6 - 9 = 9a  

    -3  = 9a

     a =  -9/3  ⇒ -3

put value of a

 y = a ( x - 1 )² + 9

 y =  -3 ( x - 1 )² + 9

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