(b) Work out the value of (√2+√8)^2

Answers

Answer 1

[tex]~~~\left(\sqrt 2 + \sqrt 8 \right)^2\\\\=\left(\sqrt 2 \right)^2 + \left(\sqrt 8 \right)^2 +2 \sqrt 2 \sqrt 8\\\\=2+8+2\sqrt{2 \cdot 8}\\\\=10+2\sqrt{16}\\\\=10+2(4)\\\\=10+8\\\\=18[/tex]

Related Questions

Find the distance between the two points. (-1, 6). (2.8)
Round to the nearest hundredth

Answers

The distance between the two points. (-1, 6). (2.8) is 3.61 units

How to determine the distance?

The points are given as: (-1,6) and (2,8)

The distance is calculated using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

This gives

[tex]d = \sqrt{(-1 -2)^2 + (6 -8)^2}[/tex]

Evaluate the sum of squares

[tex]d = \sqrt{13}[/tex]

Evaluate the exponent

d = 3.61

Hence, the distance between the two points. (-1, 6). (2.8) is 3.61 units

Answers

B 30
5 colors
3 models
2 body types
5x3=15
15x2= 30 types

PLEAASSE HELP! DUE TODAY

Answers

Answer:

1/4

Step-by-step explanation:

1 hour 15 minutes = 75 minutes

25 mins + 75mins = 100 minutes

25/100 minutes x 100 = 25%

25% = 1/4 of the time was spent reading.

Kiran walked at constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in t minutes?
d = t + 14
d = t - 14
d = 15t
d = 115t

Answers

Answer:

C. d=15t

Step-by-step explanation:

it is C because you get the equivalent from the t and that t is the number 1 so 15×1 is 15

More information:

I hope this is able to help you, please feel free to give feedback if necessary :)

In a class test(3+) marks are given for every correct answer and (-2) marks are given for every incorrect answer (-2) marks are given for every incorrect answer and no marks for not attempting any question. (i) radhika scored 20 marks. if she got 12 correct answers, how many questions has she attempted incorrectly? (ii) mohini scores -5 marks in this test, though she has got 7 correct answers. how many questions has she attempted incorrectly?

Answers

The number of incorrect answers made by Radhika is 8; the number of incorrect answers made by Mohini = 13

How to solve algebra word problems?

We are given;

Marks obtained for 1 right answer = +3

Marks obtained for 1 wrong answer = −2

(i) Marks scored by Radhika = 20

Marks obtained for 12 correct answers = 12 × 3 = 36

Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = 20 − 36 = −16

Marks obtained for 1 wrong answer = −2

Thus, number of incorrect answers = (−16) ÷(−2) = 8

Therefore, the number of incorrect answers made by Radhika = 8

(ii) Marks scored by Mohini = −5

Marks obtained for 7 correct answers = 7 × 3 = 21

Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = − 5 − 21 = −26

Marks obtained for 1 wrong answer = −2

Thus, number of incorrect answers = (−26) ÷ (−2) = 13

So, the number of incorrect answers made by Mohini = 13

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A line has a slope of -3 and passes through the point
passes through the point (-2, -3/2)
By substituting into the equation y = mx + b, find the value of b for this line

Answers

Answer:

If I am not mistaking it should be -7.5

Step-by-step explanation:

Answer:

b = -15/2

y = -3x -15/2

Step-by-step explanation:

The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.

intercept

y = mx + b . . . . . . . equation of a line with slope m and y-intercept b

y -mx = b . . . . . . . . subtract mx from both sides

For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...

b = -3/2 -(-3)(-2) = -3/2 -6

b = -15/2 . . . . . the value of b for this line

equation of the line

Then the equation for the line is ...

y = mx +b

y = -3x -15/2

A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P (A) is 0.01, and the probability the second will not operate P (B) in an emergency is 0.03. What is the probability that in an emergency both of the safety systems will not operate?

Answers

Step-by-step explanation:

they are independent systems, so in case of an emergency both systems will activate.

this is like rolling 2 dice and asking for the probability that both will show 1.

the probability that both will fail is the product of the individual probabilities for failure :

0.01 × 0.03 = 0.0003

so, the third answer option is correct.

FYI - the probability for 2 dice to both roll 1 is

1/6 × 1/6 = 1/36

Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the correct equation for how much Yolanda will have in year 10? O A. A(10) = 30,000 • (1 + 0.079) 10 O B. A(10) = 30,000 - (1 + 0.79)10 - 1 O C. A(10) = 30,000 - (1 + 0.079)10 - 1 O D. A(10) = 30,000 - (1 + 0.079) 10 + 1

Answers

Answer: 77812.2738

Based on the given conditions

write as a power function. The energy, e, produced in a nuclear reaction is proportional to the mass, m, with a constant of variation being c^2, the square of the speed of light

Answers

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The power function of the energy is e=mc².

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The power function is a polynomial. Given the energy, e, produced in a nuclear reaction is proportional to the mass, m. Therefore, we can write,

e ∝ m

To remove proportionality we need to add a constant of variation which is c², the square of the speed of light

e = m c²

Hence, the power function of the energy is e=mc².

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Which of the following best describes the histogram?
The histogram is evenly distributed.
The histogram is symmetrical.
The left side of the histogram has a cluster.
The left side of the histogram is the mirror image of the right side.

Answers

histor Grammer

Step-by-step explanation:

lol bhsg HD tcvh by by by g

The percent frequency for S&P 100 companies in the Consumer Staples sector is

Answers

The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

How to determine the percentage frequency?

From the pie chart of the dataset (see attachment for the pie chart), we have:

Consumer Staples = 8.2%

This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

Answers

Answer:

9³

Step-by-step explanation:

We know that,

[tex]a^b[/tex] ÷ [tex]a^c[/tex] = [tex]a^b^-^c[/tex]

By following the above, let us solve the given question.

Let us solve now.

⇒ 9⁵ ÷ 9²

⇒ 9⁵⁻²

⇒ 9³

The function f(x) is shown below.

x
f(x)
–6
1
–3
2
2
5
5
3
8
0

If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6

Answers

The value of f(g(2)) is 2.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The given table is

x f(x)

–6 1

–3 2

2 5

5 3

8 0

If the coordinates of a function f(x) is defined as (x,y)

then, the coordinates of inverse of f(x) is defined as (y,x).

f(g(y))= f(x) [ g(x)= (y,x)]

f(g(y))= y

So, If g(x) is the inverse of f(x), the f(g(y)) = y.

Also, we know g(x) is the inverse of f(x), then f(g(2)) = 2.

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5/x+3=4/x simplify please

Answers

Answer:

Step-by-step explanation:

cross multiply. 5*x=(x+3)4 5x=4x+12, therefore x=12

Find the volume of this object.
Use 3 for π.
Volume of a Cylinder
V= πr²h
Volume of a Sphere
3 cm.
V= / Tr³
4 cm
V≈ [?]cm³
Enter
10 cm.

Answers

Answer:

408 cm^3

Step-by-step explanation:

You have to find the volume of each object individually. You first find the volume of the sphere, so you input the radius, which is 3, into the equation which comes out to be 108 cm^3. You then have to find the volume of the cylinder, and since you have the diameter of the cylinder, and you need the radius, and the radius is half of the diameter, you would input 5 into the equation as the radius, since half of 10 is 5. That comes out to be 300 cm^3, so then you add the two volumes together, which is 408 cm^3

Simplify the following expression: 4-3 x 4-8.

Answers

Answer: -3x^4-4

Step-by-step explanation: -3x^4+4-8 > =-3x^4-4

3 1/7 as an improper fraction

Answers

Answer:

Its is already an impoper fraction.

Answer: 22/7

3 can be written as 21/7, found by multiplying 3 by 7 = 21.
Add the 1/7 you already have, which makes 22/7.

solve the equation 4/5x-2 = x

Answers

Answer:

[tex]\frac{4}{5}[/tex]x-2=x

[tex]\frac{4x}{5}[/tex]-2=x

[tex]\frac{4x}{5}[/tex]+[tex]\frac{5(-2)}{5}[/tex]=x

[tex]\frac{4x+5(-2)}{5}=x[/tex]

x= -10

Step-by-step explanation:

Pls help asap and show your work I’ll give brainliest

Answers

Answer: 3360 ft squared

Step-by-step explanation:

Short side : 30 x 14 = 420

Long side 30 x 3 x 14 = 1260

420 + 420 + 1260 + 1260 = 3360

pls give brainliest

have a nice day

Area of shorter side

BH30(14)420ft²

Area of longer sides

420(3)1260ft²

Total Lateral surface area

2(1260+420)2(1680)3380ft²

Renark:-

The general LSA formula of cuboid can also be used to solve

LSA=2×H(L+B)

Identify the area of a regular pentagon with side length 15 cm rounded to the nearest tenth. NEED HELP ASAP

Answers

Answer:

I believe the answer to be 387.11

Step-by-step explanation:

A=1/4√5(5+2√5) a°2=1/4√5•(5+2•√5)•15°2=387.10742 cm°2

Rounded= 387.11

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south. He is not sure where to point his broomstick, considering that the wind is pretty strong at 21 km/h [S 55° E]. His broomstick has an airspeed of 18 m/s. Determine the heading he should have and the velocity of the broom with respect to the ground.

Answers

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south, the heading he should have and the velocity of the broom with respect to the ground are mathematically given as

VR = 20, 699 m/s South

What is the heading he should have and the velocity of the broom with respect to the ground?

Divide horizontal and vertical components of Vs and Vw vectors

For Vs

Vs = Vs cos∅ [s] + Vs Sin∅ [w]

Vs = 18 Co58 [s] + 18 sin∅ [w]

For Vw

Vw = Vw Cos 55' [s] + Vw Sin 55 [E]

5.8333 x Cos 55 (s) + 5-8333 Sin 55 [E]

Vw = 3.3458 [s] + 4.7783 [E]

Resultant velocity VR = Vs + Vw

VR= 18 Coso (s) + 18 sine [w] +3.3458 (5) +42783 (E)

VR = (186030 +3.3458) [5] + (18sing - 4.7183)6]

(Harry Potter) flies south

18sin∅ - 4.7783 18=0

Hence

Sin∅ = 4.7783 18/18

∅ =sin{-1}(4.7783 18/18)

∅ = 15.3943

Harry Potter flies in the direction south to ∅ = $15.3943w]

Hence velocity

VR = (18 cos∅ + 35452) s + 0

VR = (17.3541 +3-3458) s

VR = 20, 69999 m/s South

Answers

There are 25 pigs and 12 chickens. This is the answer because pigs each have four legs, while chickens have two legs. This problem can be set up by a system of equations to easily find the answer:

x + y = 37; 4x + 2y = 124

To save time, the answer to this system of equations is x = 25, and y = 12. Because pigs have four legs, this means there are 25 pigs (as represented in the system of equations) and there are 12 chickens because they each have two legs.

Your final answer: There are 25 pigs and 12 chickens.

Answer: 12 Chickens

Step-by-Step Explanation:

Let ‘x’ be the No. Of Chickens
Let ‘y’ be the No. Of Pigs

Total = 37 Animals
Total No. of Legs = 124

We know, a Chicken has 2 legs and a Pig has 4 legs.

Framing the Equations :-

=> x + y = 37 (Eq. 1)
=> 2x + 4y = 124 (Eq. 2)

Therefore, from Eq. 1 :-

x + y = 37
=> x = 37 - y (Eq. 3)

Substitute value of ‘x’ from Eq. 3 in 2 :-

2x + 4y = 124
2(37 - y) + 4y = 124
74 - 2y + 4y = 124
74 + 2y = 124
2y = 124 - 74
2y = 50
y = 50/2
=> y = 25

Substitute value of ‘y’ in Eq. 3 :-

x = 37 - y
x = 37 - (25)
=> x = 12

Therefore,
No. Of Chickens = 12
No. Of Pigs = 25

1 soda + 1 cupcake+1popsicle=$22.00
1 soda +3cupcakes+3popsicle=$40.00
if a cupcake cost,$2:00 more than a popsicle,find the cost of the following

a)1 cupcake

b)1 popsicle

Answers

Answer:

a) 1 cupcake = $5.50

b) 1 Popsicle = $3.50

Step-by-step explanation:

Let s = cost of one soda

Let c = cost of one cupcake

Let p = cost of one Popsicle

From the given information we can create 3 equations:

Equation 1: s + c + p = 22Equation 2: s + 3c + 3p = 40Equation 3: c = p + 2

Subtract Equation 1 from Equation 2 to eliminate the variable s:

s + 3c + 3p = 40

- s + c + p = 22

2c + 2p = 18

Substitute Equation 3 into this new equation and solve for p:

⇒ 2c + 2p = 18

⇒ 2(p + 2) + 2p = 18

⇒ 2p + 4 + 2p = 18

⇒ 4p = 14

⇒ p = 3.5

Substitute the found value of p into Equation 3 and solve for c:

⇒ c = p + 2

⇒ c = 3.5 + 2

⇒ c = 5.5

To find the cost of a soda (s), substitute the found values of p and c into Equation 1:

⇒ s + c + p = 22

⇒ s + 5.5 + 3.5 = 22

⇒ s = 13

Therefore,

1 soda costs $131 cupcake costs $5.501 Popsicle costs $3.50

Answers

Answer:

Step-by-step explanation:

After completing a fraction division problem, Clarice used multiplication to check her answer. Division: 7 and one-half divided by 1 and one-half = 5. Check: 5 times 1 and one-half = 5 and one-half. Could Clarice verify her answer? Explain.After completing a fraction division problem, Clarice used multiplication to check her answer. Division: 7 and one-half divided by 1 and one-half = 5. Check: 5 times 1 and one-half = 5 and one-half. Could Clarice verify her answer? Explain.Why can you use fraction multiplication to check the answer to a fraction division problem? How do you use multiplication to check a division problem?

geometry please help

Answers

Answer: 31

Step-by-step explanation:

Assuming this is a rhombus, then the diagonals are perpendicular, meaning angle MQN measures 90 degrees.

Now, if we consider triangle MNQ, we know that angles in a triangle add to 180 degrees, meaning NMQ measures 31 degrees.

Three of these fractions are equivalent:
A.30/70
B.12/30
C.9/21
D.6/14
Which one is the odd one out?
A.
D.
B
C

Answers

Answer:

b is the odd one out

Step-by-step explanation:

30/70= .428

12/30= .4

9/21= .428

6/14= .428

all are equal except 12/30

hope this helped!

I don't know the answer help me please

Answers

Sugar gram in 250 ml apple juice
22.85 gram

12. The sum of two consecutive integers is 59. Write an
equation that models this situation and find the
values of the two integers.

Answers

Step-by-step explanation:

Equation=>x+x+1=59

2x=58

x=29

the numbers are 29 and 30

concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translations from f(x) to g(x) ?
A. The function f(x) was translated left 3 units and up 2 units
B. The function f(x) was translated right 3 units and down 2 units
C. The function f(x) was translated left 3 units and down 2 units
D. The function f(x) was translated right 3 units and up 2 units

Answers

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

If n < 0, the translation is downwards.if n > 0, the translation is upwards.

And a horizontal translation of n units as:

g(x) = f(x + n).

if n > 0, the translation is to the left.if n < 0, the translation is to the right.

Here we have:

f(x) = (2/3)*x

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

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I need this problem solved

Answers

Answer:

Step-by-step explanation:

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(b) Work out the value of (√2+√8)^2​

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(b) Work out the value of (√2+√8)^2