Which of the following are examples of irrational numbers? Select all that apply.
V4 + V16
15+ 36
√9+ /24
2.v4
49.81

Answer: D

Step-by-step explanation:

Substitute values for x until they all work.

A. y = 2 x 2 + 5 = 9 fail

B. y = 2 x 2 - 6 = -2 fail

C. y = -2 x 2 - 5 = -9 fail

D. y = -0.5 x 2 - 5 = -6 ok

y = -0.5 x 5 - 5 = -7.5 ok

y = -0.5 x 6 - 5 = -8 ok

Answer:

2.3574

Step-by-step explanation:

This question requires us to find the t test statistic given the data in the question.

H0: u = 10

H1: u > 10

Population variance is not known

T = (barX - u)/(s/√n)

u = 10 hours

BarX = 11 hours

Sd = 3 hours

n = 50

(11-10)/(3/√50)

t test = 1/(3/√50)

= 1/0.4242

Test statistic = 2.3574

The solution to the given quadratic equation is x = -1 + 3i OR x = -1 - 3i

From the question, we are to solve the given quadratic equation

From the given information,

The quadratic equation is

x² + 2x + 10 = 0

Using the Quadratic formula,

x = [-b ± √(b² - 4ac)] / 2a

From the equation,

a = 1, b = 2, and c = 10

Then,

x = [-b ± √(b² - 4ac)] / 2a

x = [-(2) ± √((2)² - 4(1)(10))] / 2(1)

x = [-2 ± √(4 - 40)] / 2

x = [-2 ± √(-36)] / 2

x = [-2 ± -6i] / 2

x = -1 ± 3i

x = -1 + 3i OR x = -1 - 3i

Hence, the solution is x = -1 + 3i OR x = -1 - 3i

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Answer: option b), option c), and option e) are correct options.

Step-by-step explanation:

Given:

The area of a rectangular room= 750 square feet

The width of the room = 5 feet less than the length of the room

The length of the room = Y

To find:

Equations that can be used to solve the value of Y i.e. the length of the rectangular room.

Solution:

The equation can be derived from using the following formula:

Area of rectangle = length * width

According to the question,

Length of the rectangular room = Y

Width of the rectangular room = 5 feet less than the length of the room

                                                       = (Y-5)

Since, Area of rectangle = length * width

Area of the rectangular field = length of the room* width of the room

                          750             = Y (Y – 5)                         ………..eqn. (1)

Or, the above equation can be solved a step further and written as

                          750             = Y2 – 5Y                          ………..eqn. (2)

                         750- Y2 + 5Y= 0                                    ………..eqn. (3)

                         750-Y (Y- 5) =0                                    ………..eqn. (4)

Apart from the above equations, if we solve eqn. (2) we get the following equation:

                          750             = Y2 – 5Y

                           Y2 – 5Y- 750= 0

                          Y2 – 30Y + 25Y- 750 = 0

                          Y (Y- 30) + 25 (Y- 30) = 0

                                                                   take Y- 30 common from L.H.S.

                           (Y -30) (Y+ 25)   = 0                            …………….eqn. (5)        

Hence, the correct options are option b), option c), and option e).

Answer:

37.8

Step-by-step explanation:

Change 12 mm to 1.2 cm

Then apply the volume rule

Area * height

A = 1.2*7=8.4

H=4.5

Volume 8.4*4.5 =37.8

Using simple unitary method process in the given problem with the provided values, The answer is £42 .

The unitary method is a method of solving mathematical problems in which the relationship between a quantity and its unit of measurement is used to find an unknown quantity. It involves expressing the given quantity in terms of a unit, then solving for the unknown quantity in terms of the same unit.

Arithmetic operators are used to perform basic mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/), and modulus (%). They take numerical values (either literals or variables) as their operands and return a single numerical value. These are widely used in mathematical computations, like in programming languages, spreadsheets and calculator apps.

4 glasses cost £24.

1 glass cost £24/4 = £6

7 glasses cost = £6 * 7 = £42

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Answer:

A=10.75

Step-by-step explanation:

Formula; A=wl

Plug in values; 2.5·4.3

Area ; 10.75

Answer:

Formula: bh

Plug in Values: 4.33 and 2.5

Area: 10.825 inches squared

Step-by-step explanation:

Before anything, when you converted 4 1/3 to 4.3, I recommend doing 4.33. ‘Ight, let’s begin.

The formula is base times height, therefore, you multiply the base (2.5) times the height (4.33).

2.5x4.33=10.825

9514 1404 393

Answer:

  26.2 in³

Step-by-step explanation:

The formula for the volume of a cone uses the radius of the cone as one of its variables. Here, the diameter is given, so we need to divide it by 2 to find the radius.

  r = d/2 = (5 in)/2 = 2.5 in

The volume is ...

  V = 1/3πr²h

  V = (1/3)π(2.5 in)²(4 in) = 25π/3 in³ ≈ 26.2 in³

The volume of the cone is about 26.2 in³.

Answer:

Equivalent

Step-by-step explanation:

Two fractions are equivalent if the value, proportion, or quantity they represent is the same. Equivalent fractions can have different numerators and denominators.

If you multiply the first one by 4/4 then you will have 8s/20s, which is the same as the second one

Answer:

I dont know if the letters are there to confuse me but if not yes there equivalent I cross multiplied 2 × 20 = 40 and 8 × 5 = 40 as well meaning there equivalent cause they equal the same when cross multiplying hope that helps!

If the measure of angle A equals pi over 6, the angle c equals 18, and the angle an equals 9, triangles may be formed.

You only need to apply the Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side. A triangle will exist if this holds true for each of the three possible added side length combinations.

From the given information, we have that:

m<B = pi/6 = 30 degres

c = 10

b = 5

This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle

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Answer:

Step-by-step explanation:

[tex]N^{2} =49[/tex]

To solve take the square root of 49.

[tex]\sqrt{49}[/tex] = 7

Option c which is 7

Answer:

The fencing required to enclose a circular garden whose radius is 22m is 138.16m

Answer:

[tex]\boxed {\boxed {\sf 88 \ meters}}[/tex]

Step-by-step explanation:

We want to find the amount of fencing required to enclose the garden. The fencing goes around the garden, which is a circle. Essentially, we are finding the perimeter or circumference of the circle.

The formula for circumference is:

[tex]c=\pi \times d[/tex]

We are given the radius, so we need to find the diameter. The radius goes from the center to the edge of the circle, while the diameter goes from edge to edge through the center. So, the diameter is twice the radius of 14 meters.

Now we know the diameter is 28 meters. We also know 22/7 is being used for pi. Substitute these values into the formula.

[tex]c= \frac{22}{7} \times 28 \ m[/tex]

[tex]c=88 \ m[/tex]

The circumference is 88 meters, so 88 meters of fencing is requires to enclose the garden.

Molly has to walk for 16/x minutes where x is the speed of molly.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river

Then we have x=16/t

                        t=16/x

Hence, Molly has to walk for 16/x minutes where x is the speed of molly.

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Answer:

B and C

Just see if there is any number that can divide both top and bottom

If there isnt, its in simplest form

Answer:

I would say 109 if you were to plot this

x=125

...............

Answer: Show the table

Step-by-step explanation:

SHow the table

On solving the question, 5 topping would pay the same amount for Pizza A and Pizza B,  the value of equation 0.50x=2.50=>   x=5

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

let x be the number of toppings,the total cost of a pizza is given by:

pizza cost+topping cost

for pizza a =10+1.50x

for pizza b=12.50+1.00x

we solve for when cost are same and for how many toppings

   10+1.50x=12.50+1.00x

   10+0.50x=12.50

   0.50x=2.50

        x=5

would pay the same amount for Pizza A and Pizza B. are 5 toppings,

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Answer:

A

Step-by-step explanation:

The sum of the two angles is 180 degrees

x + 138 = 180

x = 42 degrees

Format in the example are Surds on the page above in own word is [tex]36z^{15} ,\ 100,\ 9^7,\ and \ 6r^3\\[/tex]

Surds are the root values for which there is no whole number representation. Indices represent the exponent or power of a value. For instance, the base is 3 and the index is 2 for the number 32. the index being 3/2.

These are the surds rules:

1) [tex](2z^3)^5=32^{15}[/tex]

2)  [tex]\sqrt[3]{1000*1000}=100[/tex]

3) [tex]\frac{9^{3} }{9^{-4} } = 9^7[/tex]

4) [tex](6r^{-3}) ^{-1} = 6r^3[/tex]

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Answer:

it's a terminating decimal

Answer:

13,397 ft

Step-by-step explanation:

tan 15 = height/50,000

0.2679(50,000) = 13,397 ft

Answer:

(B)

Step-by-step explanation:

Answer:

Distance = 13

Step-by-step explanation:

Using the distance formula, plug in the two points:

d = sqrt(9-(-3))^2+(-3-2)^2

d = sqrt(12)^2+(-5)^2

d = sqrt144+25

d = sqrt169

d = 13

Answer:

3.5m(3m + 1.8)

10.5m^2+6.3m

Step-by-step explanation:

Answer:

The answer is 0.54 have a great day

Answer:

23

Step-by-step explanation:

Answer: 10:30 am

Step-by-step explanation: If you need to seat a passenger every 30 seconds, (half of a minute, which is 60 seconds), for every minute, 2 passengers will be seated. So, if you seat 2 passengers for a min each until you have seated 110 people, you will have taken up 55 minutes in total. (110 divided by 2 passengers a min). And finally, 55 minutes past 9:35 am would be 10:30 am. Hope this helps!