Find the exact value of inverse cos (square root of 3/ 2.

Answer:

108 inches to fill up

The best way to remedy Ask customers throughout the day on both weekdays and weekends.

The cause of the bias in the survey is likely sampling bias. This means that the sample of 110 customers may not be representative of the entire population of food court shoppers. The bias can arise if the sample is not selected randomly or if certain groups of shoppers are overrepresented or underrepresented in the sample.

To remedy the sampling bias, the best way would be to  Ask customers throughout the day on both weekdays and weekends.

By surveying customers at different times, including both weekdays and weekends, a more diverse and representative sample can be obtained. This will help to capture the preferences of a wider range of food court shoppers and reduce the bias introduced by sampling only weekday mornings.

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The manager of a shopping mall wishes to expand the number of shops available in the food court. He has a market researcher survey the first 110 customers who come into the food court during weekday mamings in distin what types of food the shoppers would like to see added to the food court,

Which of the following is the best way to remedy this problem?

OA cisne the sample size so that more people respond to the question OB Ask customers throughout the day on both weekdays and hands

OC Reward the question so that it is balanced

Answer:9

Step-by-step explanation:

28/10 =25.2/z

28/10=2.8

25.2/9=2.8

Z=9

Answer:9

Step-by-step explanation:

28/10 =25.2/z

28/10=2.8

25.2/9=2.8

Z=9

Answer:

  (c)  6p² -2p +25

Step-by-step explanation:

Identify and add like terms.

  (8p² -2p +15) +(11 -2p² -1)

  = (8 -2)p² +(-2)p +(15 +11 -1)

  = 6p² -2p +25

52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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Answer:

4500 miles

Step-by-step explanation:

750 rounded to the nearest hundred is 800. 2,488 rounded to the nearest hundred is 2,500. 155 rounded to the nearest hundred is 200. 1,015 rounded to the nearest hundred is 1,000. So 800+2,500+200+1,000= 4,500

The altitude of the triangle is given as follows:

8.59 cm.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

For the altitude of the triangle, we have a right triangle in which:

Hence the altitude is obtained as follows:

h² + 7.5² = 11.4²

h = sqrt(11.4² - 7.5²)

h = 8.59 cm.

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Answer:

x+y=10

+-y=2

Step-by-step explanation:

Use elimination to cancel out the y then continue to solve

The output values of f(2), f(4) and f(-3) in the function f(x) = x² - 2x - 4 are -4, 4 and 11 respectively.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

To determine the output value of f(2), f(4) and f(-3), replace all the occurrence of x with 2, 4, and -3 in the function and simplify.

For f(2),

f(x) = x² - 2x - 4

f(2) = (2)² - 2(2) - 4

f(2) = 4 - 4 - 4

f(2) = -4

For f(4),

f(x) = x² - 2x - 4

f(2) = (4)² - 2(4) - 4

f(2) = 16 - 8 - 4

f(2) = 16 - 12

f(2) = 4

For f(-3),

f(x) = x² - 2x - 4

f(-3) = (-3)² - 2(-3) - 4

f(-3) = 9 + 6 - 4

f(-3) = 9 + 2

f(-3) = 11

The output values of f(2), f(4) and f(-3) in the function f(x) = x² - 2x - 4 are -4, 4 and 11 respectively.

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The component form of the sum of u and v with direction angles is u + v = (10√2 - 50)i + 10√2 j.

We are given the magnitudes and direction angles of vectors u and v. We need to find the component form of their sum.

Let's first convert the given magnitudes and direction angles to their corresponding components. For vector u:

|u| = 20, θu = 45°

The x-component of u is given by:

ux = |u| cos(θu) = 20 cos(45°) = 10√2

The y-component of u is given by:

uy = |u| sin(θu) = 20 sin(45°) = 10√2

Therefore, the component form of vector u is:

u = 10√2 i + 10√2 j

Similarly, for vector v:

|v| = 50, θv = 180°

The x-component of v is given by:

vx = |v| cos(θv) = -50 cos(180°) = -50

The y-component of v is given by:

vy = |v| sin(θv) = 50 sin(180°) = 0

Therefore, the component form of vector v is:

v = -50 i + 0 j

The component form of the sum of u and v is given by the sum of their x- and y-components:

u + v = (10√2 - 50) i + (10√2 + 0) j

Simplifying, we get:

u + v = (10√2 - 50) i + 10√2 j

Therefore, the component form of the sum of u and v is:

u + v = (10√2 - 50) i + 10√2 j

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The question is -

Find the component form of the sum of u and v with the given magnitudes and direction angles θu and θv.

| | u | | = 20 , θu = 45° | | v | | = 50 , θv = 180°.

Answer:

positive 6 is the change in the sequence

Answer:

{1,1,2,2,4,4,8,8}

Step-by-step explanation:

In Finding The Factor Of A Number You Need To Find A multiplication of Two Numbers That Gives The Product 8.

•So keeping this in mind you can make multiples of numbers which has an outcome of 8. So;

1×8=8 {So 1 is a factor of 8 and note that any number multiplied by 1 is the number itself}

2×4=8{Two multiplied by four is going to give you 8 that's why it's a factor of 8}

3×?=8{There is no number which can be multiplied by 3 which has it's outcome as 8 so 3 isn't a factor}

4×2=8{4 multiplied by 2 is the same as 2 multiplied by 4 so you can see that when you multiply two numbers and it has it's product as 8 those two numbers that you multiplied to get the 8 is a factor of 8}

5×?=8{With the number 5 you can see that there is no number which can be multiplied by 5 which has its outcome as 8 so 5 is not a factor of 8}

6×?=8{With the number 6 you will not get any number which can be multiplied by 6 to give you 8 so 6 isn't a factor of 8}

7×?=8{With the number 7 too you won't get any number to be multiplied by 7 which is going to give you 8 that's why it isn't a factor of 8}

8×1=8{With the number 8 you can clearly see that when 8 is multiplied by 1 the product is 8 so that makes it its factor}

After finding the multiplication of Two Numbers that are going to give you 8, you can conclude that you have found the factors of 8 and note that any number above 8 can't be a factor of 8.

So we can conclude that the Factors of 8 are;

{1,2,4,8}

The minimum accelerating voltage required is approximately

\(1.2425 \times 10^9\)

volts.

To find the minimum accelerating voltages required to produce wavelengths at the extremes of the x-ray portion of the electromagnetic spectrum,

we can use the equation: E = hc/λ

where E is the energy of the x-ray photons, h is the Planck's constant

\((6.626 \times {10}^{ - 34} J·s)\)

c is the speed of light

\((3.0 \times 10^8 m/s)\)

and λ is the wavelength of the x-ray photons.

For the shorter wavelength

\((λ = 1.0 \times {10}^{ - 13} m)\)

we can substitute this value into the equation and solve for E:

E =

\( (6.626 \times {10}^{ - 34} J·s \times 3.0 \times 10^8 m/s) / (1.0 \times {10}^{ - 13} m)\)

E ≈

\(1.988 \times {10}^{ - 15} J\)

To convert this energy into voltage,

we can use the equation: E = qV

where q is the charge of an electron

\((1.6 \times {10}^{ - 19} C)\)

and V is the accelerating voltage.

\(1.988 \times {10}^{ - 15} J = (1.6 \times {10}^{ - 19} C) \times V\)

V ≈

\(1.2425 \times 10^4 V\)

The minimum accelerating voltage required to produce x-rays with a wavelength of

\(1.0 \times {10}^{ - 13} \)

m is approximately 12,425 volts. For the longer wavelength

\((λ = 1.0 \times {10}^{ - 8} m)\)

we can follow the same calculations and find that the minimum accelerating voltage required is approximately

\(1.2425 \times 10^9 \)volts.

The minimum accelerating voltages required to produce wavelengths at the extremes of the x-ray portion of the electromagnetic spectrum are approximately 12,425 volts for a wavelength of

\(1.0 \times {10}^{ - 13} m\)

and

\(1.2425 \times 10^9\)

volts for a wavelength of

\(1.0 \times {10}^{ - 8} m\)

These voltages are necessary to provide enough energy to the electrons to generate x-ray photons with the desired wavelengths through the relationship between energy, wavelength, and accelerating voltage.

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The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer:

45

Step-by-step explanation:

if l=9 , w is 5

then area is 9*5=45

if l=7 , w is 7

then area is 7*7=49

49 is greater than 45

but it is not a rectangle. It is a square.

Therefore the correct answer is 45.

Answer:

I think the answer is D. (2,6,8) because if the ones on the right are y - coordinates in the Function then it should be correct. If not sorry

(Range is y - coordinate)

(Domain is x - coordinate)

The side lengths of the real object will be 50 inches and 60 inches.

The scale factor is the ratio of the actual size of the image to the new size of the image. It is used to Map the objects like if you want to increase or decrease the size without changing the original shape of the image it is done by the scale factor.

The given scale factor is 5:1, which means that the dimensions of the scale drawing are 1/5 of the dimensions of the real object.

To find the side lengths of the real object, we can use the ratio of the dimensions in the scale drawing and the real object.

For example, the length of the real object can be found by multiplying the length of the scale drawing by the scale factor:

Real object length = Scale drawing length x Scale factor

Real object length = 10 in x 5

Real object length = 50 in

Similarly, the width of the real object can be found using the same method:

Real object width = Scale drawing width x Scale factor

Real object width = 12 in x 5

Real object width = 60 in

Therefore, the side lengths of the real object are 50 inches and 60 inches.

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Answer:

The length of row = 3.2 inches.

Step-by-step explanation:

The length of a chocolate = 4/5 inch

Total number of chocolate pieces placed = 4

Now we have given the length of one chocolate and it is required to find the total length of the row when four chocolates are placed end to end. So in order to find the length of the chocolate row we have to multiply the size of one chocolate by the number of chocolates.

The length of row = Length of one chocolate × number of chocolates

The length of row = 4/5 × 4

The length of row = 3.2 inches.

The piece of chocolate and the number of chocolates in a row can be represented using equations.

A row of chocolate is 3.2 inches long

Given that:

\(L = \frac 45\)  ---- Length of a piece

\(n =4\) --- number of chocolate pieces

The length of the chocolate in a row is calculated as follows:

\(Length = n \times L\)

So, we have:

\(Length = 4 \times \frac 45\)

\(Length = 4 \times 0.8\)

\(Length = 3.2\)

Hence, a row of chocolate is 3.2 inches long

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Answer:

Step-by-step explanation:

000111

2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×1 + 2⁰×1 = 7

000111 = 7

000100

2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×0 + 2⁰×0 = 4

000100 = 4

001100

2⁵×0 + 2⁴×0 + 2³×1 + 2²×1 + 2¹×0 + 2⁰×0 = 12

001100 = 12

111001

2⁵×1 + 2⁴×1 + 2³×1 + 2²×0 + 2¹×0 + 2⁰×1 = 57

111001 = 57

I hope I've helped you.

Answer:

18 oatmeal cookies

Step-by-step explanation:

3/4×24=18

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer:

5x + 10 + 55 = 90

5x = 90 -55 - 10

5x = 90 - 65

5x = 25

5x ÷ 5 = 25 ÷ 5

x = 5

Answer:

x=5

Step-by-step explanation:

If you replace the x in (5x+10)º

(5x+10)º

[5(5)+10]º

[25+10]º

= 35º

Combine the sums for angles M and R

55º+35º

=90º

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Chelsea needs at least 190 cm² of paper to cover the box.

To find the minimum amount of paper Chelsea needs to cover the rectangular prism-shaped box, we need to calculate the surface area of the box.

Surface Area = 2(lw + lh + wh)

Where,

L is length, W is width, aH nd f f is height.

So, to find the minimum amount of paper Chelsea needs, we need to know the box's surface area of the box. Once we have the dimensions, we can plug them into the formula and calculate the surface area.

For example, if the box has dimensions of length of 10 cm, width 5 cm, and height 30 cm, the surface area would be:

Surface Area = 2(50 + 30 + 15)

Surface Area = 2(95)

Surface Area = 190 cm²

Therefore, Chelsea needs at least 190 cm² of paper to cover the box.

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The area of the shaded region of the bigger square is equal to the expression 24z² - 22z + 3.

To calculate the area of a square, we multiply the it's length and width which is the same. Thus we shall Subtract the area of the smaller square from that of the bigger square to get the area of the shaded region as follows:

area of the bigger square = (5z - 2)(5z - 2)

area of the bigger square = 25z² -10z - 10z + 4

area of the bigger square = 25z² - 20z + 4

area of the smaller square = (z + 1)(z + 1)

area of the smaller square = z² + z + z + 1

area of the smaller square = z² + 2z + 1

area of the shaded region = 25z² - 20z + 4 - (z² + 2z + 1)

area of the shaded region = 25z² - 20z + 4 - z² - 2z - 1

area of the shaded region = 25z² - z² - 20z - 2z + 4 - 1

area of the shaded region = 24z² - 22z + 3

Therefore, the area of the shaded region of the bigger square is equal to the expression 24z² - 22z + 3.

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Possible question:

Find the area of the shaded region?

Answer:

Step-by-step explanation:

\(2x+\frac{1}{3} x^{2} =9\)

Move all terms to l.h.s.

\(\frac{1}{3} x^{2} +2x-9=0\)

Multiply everything by 3

\(x^{2} +6x-27=0\)

Factorize

\((x+ 9)(x-3 )=0\)

therefore

\(x+9=0\)  or \(x-3 =0\)

x= -9  or x =3

Since x is a positive answer the answer must be

x=3

Answer:

4.08

Step-by-step explanation:

Michael would finish 2 / 3 of her homework in an hour. Option B is correct.

Given that,
Michael has a set of 24 math problems to do for homework. Michael completed 1/2 of his homework in 3/4 of an hour. If he continues at this rate, what fraction of his homework would he completes in one hour is to be determined.

here,
Rate of doing homework = 1 / 2 / 3 / 4
Rate of doing homework = 2 / 3
So in an hour, she would finish 2 / 3 of her homework.

Thus, Michael would finish 2 / 3 of her homework in an hour.

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Answer:

(6^2)3n

Step-by-step explanation:

6 to the 2nd is 6^2, and since it's hard to tell whether the *n is part of the exponent, I put parentheses around the 6^2. Then just multiply by 3 by adding a 3 to the n.

Answer:

Step-by-step explanation: Raising 6 to the second power means 6 squared, then you multiply it by n so it would be n x 6^2, and then you multiply all of that by 3 so 3(n x6^2)

The distance traveled by the vehicle during the period is 1008 feet

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

t (sec) 04 8 12 16 20 24

v (ft/s) 0 7 26 46 5957 42

The distance is calculated as

Distance = Speed * Time

At 24 seconds, we have

Speed = 42

So, the equtaion becomes

Distance = 24 * 42

Evaluate

Distance = 1008

Hence, the distance traveled is 1008 feet

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