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2 years ago

5.

Mathematics

2 answers:

RSB [31]2 years ago

8 0

D. is the answer.

your welcome hunty

larisa [96]2 years ago

8 0

Answer:

Step-by-step explanation:

Actually, none of the posted possible answers is correct. The slope of the horizontal line is zero, whereas the slope of the given equation is 8. There is no number which, when multiplied by 0, results in a non-zero product.

However, if we are ADDING instead of multiplying, then the correct number is 8, because 0 + 8 = 8.

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a cardboard box holds 31.25 cubic inches of creamy butter. The butter is molded into a square prism that is 5 inches long. How m

lesya [120]

Answer:

$62.5 \:in^2$

Step-by-step explanation:

Volume of the butter in the cardboard = 31.25 cubic inches

Length of the Molded Square Prism =5 Inches

Let the length of the square cross sectional area = x

Volume of the Prism $=x^2l$

Since l=5 Inches

$5x^2=31.25\\x^2=6.25\\x=2.5\: Inches$

Next, we determine the surface area of the New Cardboard box to be made.

Length of the Cardboard Box=5 Inches

Length of the square cross sectional area = 2.5 Inches

Total Surface Area $=2(x^2+xl+xl)=2(x^2+2xl)$

$=2(2.5^2+2(2.5)(5))\\=2(6.25+25)\\=2*31.25\\=62.5 \:in^2$

Therefore, $62.5 \:in^2$ of cardboard is needed,

4 0

2 years ago

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.Find the probability that he did not hit a bounda

Margarita [4]

Answer:

The probability of NOT hitting a boundary is (4/5).

Step-by-step explanation:

Let E: Be the event of hitting a boundary

now, Probability of any event E = $\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}$

Here, number of favorable outcomes = 6

So, P(E) = $\frac{6}{30} = \frac{1}{5}$

⇒Probability of hitting a six is 1/5

Now, P(E) + P(not E) = 1

So, P(not hitting a boundary ) = 1 - P(hitting a boundary)

= 1 - (1/5) = 4/5

Hence, the probability of NOT hitting a boundary is (4/5).

4 0

2 years ago

-2(x + y)2 for for x =-3, y = 2 with steps

svlad2 [7]

Step-by-step explanation:

-2(-3+2)2

(-2×-3)+(-2×2)2

(6-4)2

2(6-4)

(2×6)+(2×-4)

12-8=4

6 0

3 years ago

Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022

miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

$L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)$

$f(x, y, z) = x^2+y^2+z^2$

Since we have three variables,

$L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)$

$f(4, 4, 7) = 4^2+4^2+7^2=81$

$f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14$

Therefore:

$L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)$

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of $4.02^2 + 3.99^2 + 6.97^2$ is 80.66000.

3 0

2 years ago

Help please!! 5th grade math.

PolarNik [594]

mixed number is 2 1/3

3 0

2 years ago

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