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Alexxx [7]
3 years ago
12

Tubby ate 100 cookies in 5 days.Each day he ate 6 more than the day before. How many cookies did he eat the frist day.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0
He ate 8 cookies the first day
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2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
shepuryov [24]

Answer:

Step-by-step explanation:

\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\

= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}

7 0
3 years ago
Find the area of each figure and round to the nearest tenth if necessary
Firdavs [7]

Answer:

95.9 cm^2

Step-by-step explanation:

this figure is composed of two semicircles. the area of each semicircle would be determined and then added together.

area of a semicircle = 1/2 nr^2

r = radius

n = 22/7

bigger semicircle

1/2 x (22/7) x (6^2) = 56.57cm^2

smaller circle = 1/2 x (22/7) x (5^2) =39.29cm^2

Sum of the areas = 56.6 + 39.3 = 95.9 cm^2

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

8 0
3 years ago
W/6 + 5/8 = - 1 3/8 what does W equal??
lara31 [8.8K]

Answer:

w=−12

Step-by-step explanation:

1

6

w+

5

8

=

−11

8

Step 2: Subtract 5/8 from both sides.

1

6

w+

5

8

−

5

8

=

−11

8

−

5

8

1

6

w=−2

Step 3: Multiply both sides by 6.

6*(

1

6

w)=(6)*(−2)

w=−12

8 0
3 years ago
Find the solutions to the quadratic. *<br> y = (x + 13)(x - 21)
Vedmedyk [2.9K]

Answer:

\huge\boxed{-13, 21}

Step-by-step explanation:

The most common way to solve for the roots of a polynomial is to use the Quadratic formula, which will return us with two values of x that make the equation equal 0.

...however, this form of the equation is already in root form. If we multiplied these two terms, we'd get x^2 - 8x -273, and when we factor that, we'd get -13 and 21.

Roots are usually written in the form (x-a)(x-b), where the zeroes will be the value of x that makes each binomial equal 0 - aka, the opposite of a and b.

The opposite of 13 is -13, and the opposite of -21 is 21.

Therefore, the solutions of this equation are -13 and 21.

Hope this helped!

6 0
3 years ago
0.8 divided by 62 please help asap pls
zhannawk [14.2K]

Answer:

77.5

Step-by-step explanation:

5 0
3 years ago
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