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belka [17]
3 years ago
11

1) The number √ , where n is a prime number is

Mathematics
2 answers:
ladessa [460]3 years ago
5 0
I think it is c good luck and i hope it helps you 
Firlakuza [10]3 years ago
3 0
It is an irrational number
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Express 0.2631 correct to three decimal places
Ilya [14]

Answer:

0.263.

Step-by-step explanation:

The 4th decimal place is 1 so the third decimal places remains the same.

4 0
2 years ago
Read 2 more answers
A.B,and C are collinear. AB=5x-19,and BC= 3x+4. Find an expression for AC if B is between A and C.
uysha [10]
Find A <span>if B is between A and C.
</span><span>A.B,and C are collinear so A, B and C are line up in a line</span>

AC = AB + BC

AB=5x-19,and BC= 3x+4 given;

So

AC = 5x-19 + 3x+4

Simplify

AC = 8x -15

4 0
3 years ago
A cardboard box without a lid is to be made with a volume of 4 ft 3 . Find the dimensions of the box that requires the least amo
Blababa [14]

Answer:

<h2><em>2ft by 2ft by 1 ft</em></h2>

Step-by-step explanation:

Total surface of the cardboard box is expressed as S = 2LW + 2WH + 2LH where L is the length of the box, W is the width and H is the height of the box. Since the cardboard box is without a lid, then the total surface area will be expressed as;

S  = lw+2wh+2lh ... 1

Given the volume V = lwh = 4ft³ ... 2

From equation 2;

h = 4/lw

Substituting into r[equation 1;

S = lw + 2w(4/lw)+ 2l(4/lw)

S = lw+8/l+8/w

Differentiating the resulting equation with respect to w and l will give;

dS/dw = l + (-8w⁻²)

dS/dw = l - 8/w²

Similarly,

dS/dl = w  + (-8l⁻²)

dS/dw = w - 8/l²

At turning point, ds/dw = 0 and ds/dl = 0

l - 8/w² = 0 and w - 8/l² = 0

l = 8/w²  and w =8/l²

l = 8/(8/l² )²

l = 8/(64/I⁴)

l = 8*l⁴/64

l = l⁴/8

8l = l⁴

l³ = 8

l = ∛8

l = 2

Hence the length of the box is 2 feet

Substituting l = 2 into the function l = 8/w² to get the eidth w

2 = 8/w²

1 = 4/w²

w² = 4

w = 2 ft

width of the cardboard is 2 ft

Since Volume = lwh

4 = 2(2)h

4 = 4h

h = 1 ft

Height of the cardboard is 1 ft

<em>The dimensions of the box that requires the least amount of cardboard is 2ft by 2ft by 1 ft</em>

8 0
3 years ago
Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2^x. She makes these
Dafna11 [192]

Consider the exponential function f(x)=2^x.

By definition, the domain of a function is the set of input argument values for which the function is real and defined.

Let we take x=2, then f(2)=2^2=4

x=4, then f(4)=2^4=16

x=10, then f(10)=2^{10}=1024

If we chose larger values of x, we get larger function values.

For example, If we take f(0)=2^0=1

f(-3)=2^{-3}=\frac{1}{2^3}=\frac{1}{8}

f(-10)=2^{-10}=\frac{1}{2^10}=\frac{1}{1024}

Thus if we choose smaller and smaller values of x. the f unction values will be smaller and smaller functions.

Thus the domain of the function is the set of all real numbers.

Thus the range is limited to the set of positive real numbers. That is, (0,\infty)

If we choose larger values of x, we will get larger function values, as the function values will be larger powers of 2.

If we choose smaller and smaller x values, the function values will be smaller and smaller fractions.

8 0
3 years ago
Read 2 more answers
What percent of 70 is 49?
morpeh [17]

Answer:

70%

Step-by-step explanation:

49/70 = 0.7

0.7*100 = 70%

4 0
3 years ago
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