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Sedbober [7]
3 years ago
10

Someone please help me (asap)...

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

9514 1404 393

Answer:

Step-by-step explanation:

We can call the blank values 'a' and 'b' so we have ...

  ay\sqrt[3]{6y}-14\sqrt[3]{48y^b}=-11y\sqrt[3]{6y}

We can move everything to inside the radical by cubing those things that are outside.

  \sqrt[3]{6a^3y^4}-\sqrt[3]{131712y^b}=-\sqrt[3]{7986y^4}

In order for the terms on the left to be "like" terms, the value of b must be 4. Having determined that, we can remove the cubes from under the radical and factor out the radical.

  ay\sqrt[3]{6y}-28y\sqrt[3]{6y}=-11y\sqrt[3]{6y}\\\\a-28=-11 \qquad\text{divide by $y\sqrt[3]{6y}$}\\\\a=17

Then the desired expression is ...

  \boxed{17}y\sqrt[3]{6y}-14\sqrt[3]{48y^{\boxed{4}}}=-11y\sqrt[3]{6y}

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If the quotient of a number and 6 is added to 1/3, the result is 7/6. Find the number.
lisabon 2012 [21]

The number is 4.

<h3>What is the Quotient?</h3>

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let n be the number in question; then, we can write the word problem as an equation like this:

⇒ (n/6) + 1/3 = 7/6

Multiply everything by the least common multiple of all the denominators (6, 3, 6), which is 6.  

⇒ 6(n/6) + 9(1/3) = 6(7/6)

⇒ n + 3 = 7

Subtract 3 from both sides,

⇒ n = 4

Hence, the number is 4.

Learn more about the quotient here:

brainly.com/question/27796160

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3 0
1 year ago
During the winter clearance sale, The Cyclery has marked down all bicycles
strojnjashka [21]

Answer:

During the winter clearance sale, The Cyclery has marked down all bicycles

20 percent and all accessories 25 percent. You purchase a 26-inch 10-speed bike

that regularly sells for $399.95, a chain and lock that regularly sell for

Step-by-step explanation:

hope it helps

8 0
2 years ago
A sector of a circle has a central angle of 45 . Find the area of the sector if the radius of the circle is 15 cm.
prohojiy [21]

Answer:

A = 28.125 * pi cm^2

A = 88.357  cm^2


Step-by-step explanation:

Area of a sector is 1/2 r^2 theta  where theta is in radians

convert 45 degrees to radians

theta = 45 * pi/180 = pi/4

A = 1/2 * 15^2 * pi/4

A =1/2 * 225 * pi/4

A = 28.125 * pi cm^2

A = 88.357  cm^2


6 0
3 years ago
Salina, Tamara, and Uma are working on their homework together. Salina tells her friends that she got θ=52∘θ=52∘ for the inverse
svlad2 [7]

Answer:

The values reported by Uma, Salina, and Tamara are all possible values for inverse cosine

Step-by-step explanation:

Solution:-

- The solution to the inverse "cosine" problem would have a general form:

                                    θ = cos^-1 ( a )

Where,  a: Any arbitrary constant, - 1 < a < 1

- The value of θ = 52° was reported by Salina suggests that the answer lies in the first quadrant of a cartesian plane where ( sin (θ) , cos (θ) , tan (θ) ) have positive values for "a".

Hence,                            0 < a < 1 , θ = 52°

- The value of θ = 128° was reported by Tamara suggests that the answer lies in the second quadrant of a cartesian plane where ( sin (θ) ) have positive values for "a" and (cos (θ) , tan (θ) have negative values for "a". So for cos (128):

Hence,                           -1 < a < 0 , θ = 128°

- The value of θ = 308° was reported by Uma suggests that the answer lies in the fourth quadrant of a cartesian plane where ( cos (θ) ) have positive values for "a" and (sin (θ) , tan (θ) have negative values for "a". So for cos (308):

Hence,                           0 < a < 1 , θ = 308°

- The angle θ reported by Uma and Salina are similar solution because of property law of complementary angles:

                                     cos (θ) = cos ( 360 - θ )

Where, θ = 52°,            cos (52°) = cos( 308°)  .. Uma and Salina conform

However,                      cos ( 180 - θ ) = - cos (θ)  

                                     cos(128) = - cos ( 52 ) .... Uma and Tamara conform.

5 0
3 years ago
deposited $175 each month the balance of the savings account in 5 years will be $12,100.how much of the final balance will come
Ugo [173]

Answer:

$1,600

Step-by-step explanation:

To find out how much of the final balance will come from the interest earned, you have to determine the total value of the deposits made and subtract this from the balance the account will have after 5 years.

amount deposited each month: $175

months: 12*5= 60

Total amount deposited: $175*60= $10,500

Interests: $12,100-$10,500= $1,600

According to this, the amount of the final balance that will come from the interest earned is $1,600.

4 0
3 years ago
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