Please Help Me Answer These

The value of a2+b2 = 0.05

The value of a3+b3 = 41.73

Concept: (a+b)2 = a2+b2+2ab

(a-b)2 = a2+b2-2ab

(a+b)3 = a3+b3+3a2b+3ab2

(a-b)3 = a3-b3-3a2b+3ab2

(I) a²+b²=(1/7-4✓3)²+(1/7+4✓3)²

⇒ ( 1/49 - 48) +(1/49 + 48)=(1-2352/49) + (1+2353/49)

⇒ -47.97 +48.02= 0.05

(ii) a³+b³=(1/7-4✓3)³+(1/7+4✓3)³

⇒(-6.78)³ +(7.07)³

⇒-311.66 +353.39= 41.73

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Answer:

879.6452 cm

Step-by-step explanation:

The curved surface area of a cylinder is calculated using the formula, curved surface area of cylinder = 2πrh, where 'r' is the radius and 'h' is the height of the cylinder.

diameter = 2r

14=2(r)

7=r

2(π)(7)(20) cm

2(3.14159)(7)(20)

879.6452

Answer: 19/30 or about 63%

Step-by-step explanation: Add all your marble up so 6+4+5+15 to get the total amount of options or marbles in this case. Now find out how many red and blue marbles you have so 4+15 or 19 now you can divide the red and blue marbles by the total amount of marbles to get your percentage of pulling a red or blue marble from the bag.

Answer:

there are 2 cups in a pint is correct.

Step-by-step explanation:

The measure of the central angle of a circle is 45⁰

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Here,

Theta (angle) θ = arc length / radius

θ = 15 π / 60 cm

θ =  0.79 radians

Convert to degrees

θ = 0.79 radians = 0.79 X 180/ π

                     = 0.79 X 180/ 3.14

                     = 45⁰

Thus, the measure of the central angle of a circle is 45⁰.

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The number of rounds of bingo when the two costs would be the same is 3.

The equation that represents the total cost for adults is : 13 +2r

The equation that represents the total cost for children: 10 + 3r

where r is the number of rounds

When the two costs are the same, the two above equations would be equal: 13 + 2r = 10 + 3r

13 - 10 = 3r - 2r

r = 3

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Answer:The end of immigration quotas in the 1960s led to

a significant decrease in safe places for refugee immigrants.

a significant increase in discrimination against immigrants.

a significant increase in the number of Asian immigrants.

a significant decrease in the number of Asian immigrants.

Step-by-step explanation:

Answer:

(x+y)

Step-by-step explanation:

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

Thus, the HCF is (x+y).

Answer:

(x + y)

Step-by-step explanation:

Factorizing both terms :

The HCF of the terms is (x + y).

If [tex]x=p+2[/tex] and [tex]y=p-3[/tex], then

[tex]x+y = (p+2) + (p-3) = 2p - 1 \implies x+y+1=2p[/tex]

and

[tex]x-y = (p+2)-(p-3) = 5 \implies x-y-5=0[/tex]

as required.

Answer:

1.A - B

1.B - D

1.C - [unsure]

Step-by-step explanation:

The true statement about the function f(x) = -x² - 4x + 5 is that:

The domain of a function is the set of given values of input for which the function is valid and true.

The range is the dependent variable of a given set of values for which the function is defined.

For a parabola ax² + bx + c  with the vertex [tex]\mathbf{(x_v,y_v)}[/tex]

The vertex for an up-down facing parabola for a function y = ax² + bx + c is:

[tex]\mathbf{x_v = -\dfrac{b}{2a}}[/tex]

Thus,

Range: f(x) ≤ 9

Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.

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Answer:

0.39??

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

9x - 7 = -52

we want to single out x,

add 7 to both sides to be one step closer to getting x alone

9x - 7 + 7 = -52 + 7

9x = -45

divided both sides by 9 to get x alone

9x / 9 = -45 / 9

x = -5

Let me know if you need any clarification!

[tex] 9x - 7 = - 52[/tex]

Firstly rearrange the variable on the left side of the equation...

[tex]9x = - 52 + 7[/tex]

Calculate the sum or differences

[tex]9x = - 45[/tex]

[tex]x = - \frac{45}{9} \\ [/tex]

[tex]x = - 5[/tex]

:)

..

Answer:

3.2

The value of C when B is 5 is 3.2

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

A is not a intersecting angles they are like doodles, B makes intersecting lines, C doesnt intersect properly its only like a Y with and extra angle and D is absolutely perfect. So, thats why its B and D

Answer:

52, 53, 54, pack 1.

Step-by-step explanation:

1)

1.56 = 30

10 = 1.56 / 3

10 = 52 pence

2)

2.12 = 40

10 = 2.12 / 4

10 = 53 pence

3)

3.78 = 70

10 = 3.78 / 7

10 = 54 pence

The cheapest one is the small pack

Answer:

all the options are incorrect

Given - 20 teachers

- 705 students

To find - ratio of teachers to students

20/705

20 : 705 .

Answer:

[tex]ME =\frac{z*s}{\sqrt{n}}[/tex]

Step-by-step explanation:

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings

To find margin of error, you need

        n = sample size

        z = z-score

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Answer:

x= -7, y= -5 and

x= 2, y= 13

This may also be written as (-7, -5) and (2, 13).

Step-by-step explanation:

Start by labelling the two given equations:

y= x² +7x -5 -----(1)

2x -y= -9 -----(2)

Let's solve by substitution!

Making y the subject of formula in equation (2):

From (2): y= 2x +9 -----(3)

Substitute (3) into (1):

2x +9= x² +7x -5

x² +7x -5 -2x -9= 0

x² +5x -14= 0

Factorise:

(x +7)(x -2)= 0

x +7= 0 or x -2= 0

x= -7 or x= 2

Find the respective values of y.

Substitute into (1):

y= (-7)² +7(-7) -5 or y= (2)² +7(2) -5

y= 49 -49 -5 or y= 4 +14 -5

y= -5 or y= 13

Thus, the solutions are (-7, -5) and (2, 13).

Its actually pretty simple, all you do is graph both inequalities and wherever both of the shaded areas overlap is where all of the solutions will be. Hope this helps

The frequency distribution has been illustrated based on the information given.

It should be noted that frequency distribution is the representation that displays the number of observations that are in a given interval.

From the data distribution, the frequency distribution will be:

Class. Frequency

0 - 14.         5

15 - 29.      15

30 - 44.     13

45 - 59.      6

60 - 74.      5

75 - 89.       1

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The area of the region common to both circles is -6.67 square units

Since r = -2sinθ and r = 1, we find their points of intersection.

So, r = r

-2sinθ = 1

sinθ = -1/2

θ = sin⁻¹(-1/2)

θ = 7π/6

So, the circles intersect at (1,  7π/6)

To find the area of the region common to both circles, we integrate from r = 0 to r = 1 and θ = 0 to θ = 7π/6

[tex]A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {r - r}) \, dr \,d\alpha \\A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {-2sin\alpha - 1}) \, dr \,d\alpha \\A = -\int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0 {2sin\alpha \, dr \,d\alpha - \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _01} \, dr \,d\alpha \\A = 2[cos\alpha]_{0} ^{\frac{7\pi }{6} } [r]_{0} ^{1} r - [r]_{0} ^{1}} [\alpha ]_{0} ^{\frac{7\pi }{6}}} \\[/tex]

[tex]A = 2[cos{\frac{7\pi }{6} - cos0] [1 - 0] - ([1 - 0][\frac{7\pi }{6} - 0]\\[/tex]

A = 2(-¹/₂ - 1) - (1 × 7π/6)

A = 2(-3/2) - 7π/6

A = -3 - 7π/6

A = (-18 - 7π)/6

A = (-18 - 21.99)/6

A = -39.99/6

A = -6.67 square units

So, the area of the region common to both circles is -6.67 square units

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Answer:

3

Step-by-step explanation:

11(3)+2 = 6

also,

33-29 =

and

29 - 23 = 6

I take a guss, but I think its 3

Answer: 2:3

Step-by-step explanation:

common factor of 42 and 63: 21

42/21= 2

63/21= 3

find the common factor to find the ratio!

therefore the ratio is 2:3

Answer:

a

Step-by-step explanation:

it is 3 numbers all together and they are 25, 36 and 49.

Answer: 360

Step-by-step explanation: 6 times 6 times 10 = 360

The values of x and y are 7 and 12 respectively

From the question, we are to determine the values of x and y

From the given information,

Line AB and Line CD bisect each other at point E

Then, we can conclude that

AE = BE

and

CE = DE

From the given information,

AE = 3x - 10y + 123

BE = -2x - 7y + 122

CE = 9x + 10y - 171

DE = 3x + 20y - 249

Then, we can write that

3x - 10y + 123 = -2x - 7y + 122

Simplifying

3x +2x -10y + 7y = 122 -123

5x -3y = -1 ----------- (1)

Also,

9x + 10y - 171 = 3x + 20y - 249

Simplifying

9x -3x +10y -20y = -249 + 171

6x -10y = -78 --------- (2)

Now, solve equations (1) and (2) simultaneously

5x -3y = -1 ----------- (1)

6x -10y = -78 --------- (2)

Multiply equation (1) by 10 and equation (2) by 3

10 × ( 5x -3y = -1

3 × ( 6x -10y = -78

50x -30y = -10 ----------- (3)

18x -30y = -234--------- (4)

Then, subtracting equation (4) from equation (3), we get

50x -18x -30y-(-30y) = -10-(-234)

32x -30y + 30y = -10 + 234

32x = 224

∴ x = 224/32

x = 7

Put the value of x into equation (1), to find y

5x -3y = -1

5(7) -3y = -1

35 -3y = -1

35 + 1 = 3y

36 = 3y

∴ y = 36/3

y = 12

Hence, the values of x and y are 7 and 12 respectively

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