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solve this equation
a^n+b^n=

Answer: here’s the answer!

Step-by-step explanation: hope this helps!

Answer:

x=10

Step-by-step explanation:

3(x-2)+4=28

3x-6+4=28

3x-2=28

3x=30

x=10

Answer:

76 sqcm.

Step-by-step explanation:

2(5 x 2) + 2(5 x 4) + 2(4 x 2) = 2(10) + 2(20) + 2(8)
                                             =  20 + 40 + 16
                                             =  76

Answer/Step-by-step explanation:

✔️Find EC using Cosine Rule:

EC² = DC² + DE² - 2*DC*DE*cos(D)

EC² = 27² + 14² - 2*27*14*cos(32)

EC² = 925 - 756*cos(32)

EC² = 283.875639

EC = √283.875639

EC = 16.85 cm

✔️Find the area of ∆DCE:

Area = ½*14*27*sin(32)

Area of ∆DCE = 100.15 cm²

✔️Since ∆DCE and ∆ABE are congruent, therefore,

Area of ∆ABE = 100.15 cm²

✔️Find the area of the sector:

Area of sector = 105/360*π*16.85²

Area = 260.16 cm² (nearest tenth)

✔️Therefore,

Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)

Answer:

\((x-2)^2 + (y-5)^2 = 1\)

Step-by-step explanation:

The radius is the distance from the center to a point oh the circle, in this case 1.

Substituting into the general formula for the equation of a circle, we get the equation to be

\((x-2)^2 + (y-5)^2 = 1\)

A because the circle is empty and the line is going backwards

Answer and Step-by-step explanation:

Let f(x) = x4 + x3 + x2 +x + 1 Є Z2[x]. Prove that f(x) is irreducible over Z2[x] or not?

Proof:-  

Let f(x) = x4 + x3 + x2+ x+1 Є Z2[X].  

Then f (0) = 1 = f(1), so f(x) has no roots,  By Factor theorem, which states that polynomial f(x) has a factor(x-a) if and only if f(a)=0.                                                                                                                                      Hence, f(x) has no linear factor.                                                                                                                                                 If f(x) is reducible, it must have factors of degree 2 and degree 3. But f(x) has no degree 2 factors.

We know that only irreducible quadratic in Z2[X] is x2  + x +1. When we divide f(x) by x2  + x +1 we get a remainder of 1, so x2  + x +1 is not a factor of f(x) therefore f(x) is irreducible.

The measure of the indicated arc angle is 134 degrees.

The angle subtended by the arc at the centre of the circle is the angle of the arc.

Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.

Hence, the central angle is also known as the arc's angular distance.

Therefore, the measure of an arc is the measure of its central angle.

Hence, the measure of the indicated arc is 134 degrees.

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The solution for x in the equation 3 = 5/(2 - x) is 11/3

From the question, we have the following parameters that can be used in our computation:

3 = 5/(2 - x)

Cross multiply the equation

so, we have the following representation

3(2 - x) = 5

This gives

2 - x = 5/3

So, we have

x = 2 + 5/3

Evaluate the sum of the like terms

x = 11/3

Hence, the solution for x in the equation is 11/3

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Answer:

see below

Step-by-step explanation:

sqrt(2)+ sqrt(98)

sqrt(2) + sqrt( 2*49)

sqrt(2) + 7sqrt(2)

8 sqrt(2)

Answer:

\(\sqrt{2}\)+ \(\sqrt{98}\)

 \(\sqrt{2}\)+   \(\sqrt{2}\) *49

\(\sqrt{2}\) + 7\(\sqrt{2}\)

8 \(\sqrt{2}\)

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The answer is 10 because:

1) Absolute value makes all negative or positive numbers positive (unless there is a negative sign outside the absolute value sign).

2) Therefore, the absolute value of 10 is positive 10.

Hope this helps! :D

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

Use Substitution Method -

5(6)-4(7)+6=30-28+6

=2+6

=8

Answer:

a) Median Height = 66 inches

b) Range of Heights = 18 inches

Step-by-step explanation:

a) The median in a box-and-whisker plot is the second quartile, located between the first and third quartiles indicated by the dashed line. Therefore, the median height is 66 inches.

b) The range in a box-and-whisker plot uses the same process of finding the range of a set of data. You find the difference between the maximum and the minimum values of the data. Therefore, the range of heights is 77 - 59 = 18 inches.

To find the x-intercepts, equal the equation to 0 and solve for x:

-4.9 x^2 + 19.8x + 58

ax^2 + bx + c

a = -4.9

b= 19.8

c= 58

Apply the quadratic formula:

positive : -1.97

negative : 6.01

• 1- x intercepts

x = -1.97 , x = 6.01

• 2.y-intercept

To find it replace x = 0 and solve for y:

y = -4.9x^2 + 19.8x + 58

y= -4.9 (0)^2 + 19.8 (0) + 58

y= 58

• 3. Vertex

First, find the axis of symmetry:

x = -b / 2*a = -19.8 / 2*-4.9 = 2.02

Replace x=2.02 on the equation:

y = -4.9 (2.02)^2 + 19.8 (2.02) + 58

y = -19.99 + 39.996 + 58

y = 78

Vertex = (2.02 , 78 )

4.

Since on x-intercept is at x=-1.97, replace x=-3 and see if the y value is positive or negative:

f(-3) = -4.9(-3)^2 + 19.8 (-3) + 58

f(-3)= -44.1 -59.4 +58

f(-3)= -45.5

Since the value is negative it opens downwards, so the vertex is a maximum.

Answers:

1- the x-intercepts

x = -1.97 , x = 6.01



2- the y-intercept

y= 58



3- the vertex

Vertex = (2.02 , 78 )



4- is the vertex a maximum/minimum​

The vertex is a maximum

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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Answer:  6 * 24 = 144 ways.

Step-by-step explanation:

Solution:

Given word => DANGER.

The condition is that vowels can't occupy odd places so, we will let them occupy even places.

A total number of arrangements will be = 6 * 24 = 144 ways.

Answer: 6x24 = 144 ways.

Answer:

A- 5 bottles of water for $4.00 is going to be 0.8 for each bottle

B- 3 bottles of water for $2.75 i going to be 0.91 for each bottle

so a is a better deal

Step-by-step explanation:

Answer:

Answer is attached as a photo. I will be honest I am not familiar with a calculus problem being set up that way. I am guessing that is what they are looking for...

Step-by-step explanation:

The upper bound of the given function is 20 while the lower bound of the given function is -8.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

-2 ≤ f(x) ≤ 5

At the upper bond, f(x) = 5

\(\int\limits^{3}_{-1} {f(x)} \, dx\) = \(\int\limits^{3}_{-1} {5} \, dx\)

⇒ 5(3 + 1) = 20

At the lower bond f(x) = -2

\(\int\limits^{3}_{-1} {f(x)} \, dx=\int\limits^{3}_{-1} {-2} \, dx\)

⇒ -2(3 + 1) = -8

Hence "The upper bound of the given function is 20 while the lower bound of the given function is -8".

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Answer:

x = 9

y = 9√3 = 15.6

Step-by-step explanation:

The triangle given is a right triangle, therefore:

✔️apply trigonometric ratio formula to find x:

Reference angle = 60°

Hypotenuse = 18

Adjacent = x

Thus:

Cos (60) = x/18

Multiply both sides by 18

18×cos(60) = x

9 = x

x = 9

✔️find y by applying pythagorean theorem:

y² = 18² - x² (pythagorean theorem)

y² = 18² - 9² (substitution)

y² = 243

y = √243

y = √(81*3)

y = 9√3 = 15.6

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Alice spent $227.88 on 12 shirts

Step-by-step explanation:

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Step-by-step explanation:

Answer:

649

Step-by-step explanation:

Given that

Mean number of dresses is 5.5

Standard deviation of the sample, S.D is 1.3

Margin of error, M.E is 0.1

Level of confidence is 95% or 0.95

The formula for margin of error, M.E is

Z * (S.D/√n) , where

Z = Value for level of confidence which is 1.96

Proceeding further, we have

0.1 = 1.96 * (1.3/√n)

0.1 = 2.548 / √n, making √n subject of formula, we have

√n = 2.548 / 0.1

√n = 25.48, squaring both sides

n = 25.48²

n = 649.23

Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649

*see attachment for diagram

Answer:

37 m

Step-by-step explanation:

First, use trigonometric ratio to find the distance between the top of the shorter silo to the top of the taller silo.

Let the distance between the top of the smaller silo and the top of the taller silo be x.

Thus, we would have:

Tan 30 = opp/adj = x/25

Tan 30 = x/25

Multiply both sides by 25

25*Tan 30 = x

x = 14 m (nearest meter)

The height of the taller silo = height of the smaller silo + x

= 23 m + 14 m

= 37 m

Answer:step four

Step-by-step explanation:

they left the 16 out of the square root

Both planes have the same normal vector:

\(6x-y-z=6\implies\mathbf n=\langle6,-1,-1\rangle\)

The plane we want must contain the point (4, -3, -1), so its equation would be

\(\mathbf n\cdot\langle x-4,y+3,z+1\rangle=0\)

\(\implies 6(x-4)-(y+3)-(z+1)=0\)

\(\implies\boxed{6x-y-z=28}\)