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3 years ago

I need to simplify this expression : 6• (10•k)

Mathematics

1 answer:

Temka [501]3 years ago

7 0

Answer:

6 x 10= 60

60/2=30

Answer is 30 i think

Step-by-step explanation:

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If you divide 128 cookies by 8 trays, you'll get 16.
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3 years ago

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Consider the given matrix. 1 −1 0 5 1 4 0 1 1 Find the eigenvalues. (Enter your answers as a comma-separated list.) λ = Find the

fomenos

Answer:

Step-by-step explanation:

We have to diagonalize the matrix

$\left[\begin{array}{ccc}1&-1&0\\5&1&4\\0&1&1\end{array}\right]$

we have to solve the expression

$|A-\lambda I|=0$

Thus, by applying the determinant we obtain the polynomial

$(1-\lambda )^3+5-4=0\\(1-\lambda )^3+1=0\\$

$-\lambda^3+3\lambda^2-4\lambda+2$

$\lambda_1=1\\\lambda_2=1-i\\\lambda_3=1+i\\$

and the eigenvector will be

$v_1=(-4,0,5)\\v_2=(-1,-i,-1)\\v_3=(-1,i,1)$

HOPE THIS HELPS!!

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3 years ago

The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Let x =

zimovet [89]

The cubic model that best fits this data is y = 0.0000872x^3 - 0.00989x^2 + 0.403x + 1.192

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3 years ago

A beverage company surveyed 450 adults to determine the demand for summer drinks.

Ganezh [65]

Answer:

174 people preferred drinking water.

Step-by-step explanation:

Given that:

A total of 450 males and females were surveyed.

203 were males.

Number of females = 450 - 203 = 247 females

247 females were surveyed.

Now, we will find the number of females who prefer water.

Let,

x be that number.

Total number of females = Soda + Iced tea + Lemonade + Water

247 = 28 + 44 + 67 + x

247 = 139 + x

247-139 = x

x = 108

Number of people who prefer water = 108 + 66 = 174

Hence,

174 people preferred drinking water.

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3 years ago

Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a square pyramid

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Akira needs 45 square inches of gold foil to cover the chair free including the bottom

Step-by-step explanation:

Total surface = surface area of the base square + area of 4 triangles

Step 1: The surface area of the base square

surface area of the base = surface area of the square =

where s is the side length

The the surface area of the base = = 9 square inches

Step 2: The surface area of the side triangles

The area of the triangle =

On substituting the values,

The area of the triangle =

The area of the triangle = 9 square inches

Now the area of 4 triangles = 4 x 9 = 36 square inches

Thus the total surface area = 9 + 36 = 45 square inches

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3 years ago

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