Question 1
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in. wide, 72 in. high, and 24 in. deep.
Which size refrigerator would be the BEST fit for the available space?
70,000 in ³
000
A
B
C
69,936 in.³
53,900 in.3
D 42,000 in.³

Answer:

Step-by-step explanation:

5x - 10 - 4 = 6

5x - 14 = 6

5x = 20

x = 4

Option C is the solution

Answer:

9 science books

Step-by-step explanation:

Step 1) 36 - 17 = 19

Step 2) 19 - 10 = 9

a) The values are given as follows:

i) x1: -0.5.

ii) x2: -0.280125.

b) The solution of the equation is of: -0.25410169644.

The equation in this problem is given as follows:

y = (x³ - 1)/4.

The solution is obtained using a iterative solution method, until the difference between previous iterations is less than 10^-6, as the solution is exact to 6 decimal places.

Then the values are given as follows:

x1  = -1 -> attributed.

x2 = ((-1)³ - 1)/4 = -0.5.

x3 = ((-0.5)³ - 1)/4 = -0.28125.

x4 = ((-0.281255)³ - 1)/4 = -0.25556212524.

x5 = ((-0.25556212524)³ - 1)/4 = -0.25417281837

x6 = ((-0.25417281837)³ - 1)/4 = -0.25410513385

x7 = ((-0.25410513385)³ - 1)/4 = -0.25410185521.

x8 = ((-0.25410185521)³ - 1)/4 = -0.25410169644. -> difference less than six decimal places.

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An approximate solution to an equation is found using this iterative process.

Xₙ₊₁= (Xₙ)³ - 1 / 4 and x₁= -1

a)

(i) Work out the value of x₂

(ii) Work out the value of x₃

b) Work out the solution to 6 decimal places

Answer:

y = (2/3)x + 3

Step-by-step explanation:

first we need to find the y-intercept

we can do this by using what is given, the point (-3,1) and the slope (2/3)

using the slope-intercept formula: y = mx + b.

m = slope

b = y intercept

we can plug in the x and y values we were given

so,

1 = (2/3)(-3) + b

we can now easily solve for b

1 = (2/3)(-3) = b

first multiply

1 = -2 + b

then add 2 to both sides, this way we isolate b

3 = b

now that we have the y intercept we can write the equation of the line

y = (2/3)x + 3

if you really wanted to, you can check if this is correct by plugging in the point again and seeing if the equation is true.

1 = (2/3)(-3) + 3

multiply first

1 = -2 + 3

add the like terms

1 = 1

There are a total of binom n2 binom n-21 + binom n3 possible committees with at least 2 secretaries.

Assume that there are n total secretaries employed by the business.

Either we can select 2 secretaries and 1 non-secretary member, or we can select all 3 members to be secretaries in order to form a committee with at least 2 secretaries.

Out of n, there are binom n2 ways to select two secretaries, and binom n-21 ways to select a non-secretary member from the remaining n-2 non-secretaries.

This means that there are binom n ways to form a committee with 2 secretaries and 1 non-secretary member.

There are binom ways to select each of the three members to serve as a secretary.

There are a total of binom n2 binom n-21 + binom n3 possible committees with at least 2 secretaries.

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When m is 20 the value of expression is 6.5. The value 6.5 represent the cost which marcia has to pay for car wash for 20 mins.

An expression is combination of variables, numbers and operators.

Given that Marcia's cost, in dollars, to wash her car can be calculated using the expression

0.25m +1.50

Zero point two five plus one point five.

In the expression m represents the number of minutes the car wash will run.

We need to find the value of expression when m is 20

0.25(20)+1.50

5+1.50

6.5

When m is 20 the value of expression is 6.5. The value 6.5 represent the cost which marcia has to pay for car wash for 20 mins.

Hence, Marcias cost $6.5 to wash her car for 20 minutes.

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Answer:

Both data sets represent multiplicative relationships. In Table A, y is 2.5 times x, and in Table B, y is 3 times X

Step-by-step explanation:

Self-explanatory

Every value of y in Table A is 2.5 times  x value

and

every value of y in table B is 3 times x value

The system using substitution has its solution to be (-1.8, -1.2)

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

3x-2y=3

y=6+4x

By susbstitution, we have the following equation

3x - 12 - 8x = 3

Evaluate the like terms

so, we have the following representation

-5x = 9

Divide by 5

x = -1.8

So, we have

y= 6 + 4 * -1.8

Evaluate

y = -1.2

Hence, the value of y is -1.2

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Answer: H. -2 or 8/3

Step-by-step explanation:

3x^2-2x-16=0

Multiply 3 times 16

x^2-2x-48=0

find two numbers that will add up to equal -2 and will be multiplied to get -48. (-8 and 6)

(x-8)(x+6)

divide both numbers by 3 but since you cannot divide 8 and 3 you will move the 3 in front of the x.

(3x-8)(x+2)

Set both equal to 0.

3x-8=0    x+2=0

x= 8/3      x=-2

Answer:

The system of equation is y=12x+5

Step-by-step explanation:

The value of x to the nearest tenth are as follows;

x = 47.0 units.

x = 25.1 units.

x = 23.8 units.

x = 29.7 units.

x = 21.1°.

x = 39.6°.

x = 58.0°.

x = 72.9°.

From the image attached above, we can logically deduce that the triangle is a right-angled triangle with the following side lengths:

Opposite side = x.

Adjacent side = 25.

Therefore, we would determine the value of x by using Tan trigonometric function:

Tanθ = Opposite side/Adjacent side

Tan45 = 25/x

x = 25Tan62

x = 47.0 units.

For right-angled triangle 3, we have:

Sin26 = 11/x

x = 11/0.4384

x = 25.1 units.

For right-angled triangle 4, we have:

Sin48 = x/32

x = 32sin48

x = 23.8 units.

For right-angled triangle 5, we have:

Cos12 = 29/x

x = 29/0.9782

x = 29.7 units.

For right-angled triangle 6, we have:

Cosθ = 14/15

θ = cos⁻¹(0.9333)

θ = 21.1°.

For right-angled triangle 7, we have:

Tanθ = 19/23

θ = tan⁻¹(0.8261)

θ = 39.6°.

For right-angled triangle 8, we have:

Cosθ = 9/17

θ = cos⁻¹(0.5294)

θ = 58.0°.

For right-angled triangle 9, we have:

Sinθ = 43/45

θ = sin⁻¹(0.9556)

θ = 72.9°.

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The area of the shaded region found using trigonometric ratios is about 86.6 square centimeters

Trigonometric ratios are expressions of the relationship between the interior angle of a right triangle and the ratio of two of the sides of the triangle.

Whereby, the inscribing figure of the quadrilateral is a regular hexagon, we get;

Interior angle of a regular hexagon = 120°

The 10 cm segment bisects the top vertex angle of the regular hexagon, which together with the 5·√3 cm side and trigonometric ratios, indicates that we get;

sin(60) = s/(5·√3) = (√3)/2

Where;

s = The side length of the regular hexagon

(5·√3)/s = (√3)/2

s = (5·√3)/((√3)/2) = 10

The side length of the regular hexagon, s = 10

The area of the regular hexagon, A = ((3·√3)/2) × s² = (1/2)×6 ×s ×a

Where;

a = The apothem = 5·√3

Therefore; A = ((3·√3)/2) × 10² = 150·√3

A  = (1/2)×6 ×10 × 5·√3 = 150·√3

Area of the quadrilateral = 4 × (1/2) × 5·√3 × 10 = 100·√3

Area of the shaded region = Area of the hexagon - Area of the quadrilateral

Therefore;

Area of the shaded region = 150·√3 - 100·√3 = 50·√3 ≈ 86.6

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V Prism is V = B × h=9.5*4=38

the volume of a sphere is V = 4/3 π r³=4/3*22/7*9.5=10.47

V=10.47+38=48.476

A measurement of three-dimensional space is volume. It is frequently expressed in numerical form using SI-derived units, as well as different imperial or US-customary units. In contrast to how much space the container actually occupies, the volume of a container is typically thought of as its capacity, or the amount of fluid it could hold. Volume was initially measured using naturally occurring vessels of a comparable shape and then with standardized containers. Arithmetic formulas can be used to quickly calculate the volume of several straightforward three-dimensional shapes. If a formula for the shape's boundary is known, it is possible to use integral calculus to determine the volumes of more complex shapes. objects in the zero, one, and two dimensions have no volume.

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Answer:

i think this the answer

Step-by-step explanation:

26×14=ans

20×14+6×14=the same answer

10×26+4×26=same answer

Answer: 20 centimeters

Step-by-step explanation:

The radius is half the diameter so then the radius is 20 centimeters.

The distance between the center of the circle to its circumference is the radius. The diameter is always double the radius. Hence, the formula is derived by dividing the diameter by 2.

The order of the place value in increasing order is equal to units , tens , hundreds , thousands , ten-thousand and so on.

Therefore, the order of the place value in ascending order of the place of the digit is given by units , tens , hundreds , thousands , ten-thousand and so on.

The given question is incomplete, I answer the question in general according to my knowledge:

What is the order of the place value ?

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The measure of center should the charity use to accurately represent the data is The mean of 49 is the most accurate to use to show that they have plenty of money, the correct option is C,

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that;

The list of donation is as follows

11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59

Now,

Mean is the middle term of the data

Here,

Middle term of data=49

Therefore, the mean of the given list will be 49.

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The number of machines used in order to get to the number 450 from the number 900 is 9.

An expression contains more than one term with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

900 to 450

We need a number of machines such that 450 is the last output starting from 900.

Now,

If we subtract 50 from each consecutive number we get,

900, 850, 800, 750, 700, 650, 600, 550, 500, 450

So,

We use 9 machines to get 450 from 900.

Thus,

9 machines should be used in order to get to the number 450 from the number 900.

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If a set of grades have a large range and a small standard deviation, it means that there are few students with high marks and few with low marks. Most students falls in the average region.

Range is the difference between the maximum value and the minimum value. So for the range to be higher, there must be at least one very high grade and at least a very low grade. If the maximum mark scored by the highest scorer is 95 and 10 for the lowest, the range will be 95- 10 = 85.

If one scored 99 and the lowest scorer got 5, then the range is 99-5 = 94. So higher the range means there is great difference between the highest and lowest grade.

Standard deviation means how much the value deviates from average. If it is low, that means most of the students scored near to the average.

So high range and low standard deviation means, there are few high scorers and few low scores. But most students falls in the average category.

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A fair coin and a fair six-sided die, the sample space can be represented as:

{ (H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6) }

where H represents heads and T represents tails for the coin toss, and the numbers 1 through 6 represent the numbers on the die.

The sample space for this experiment can be described as the set of all possible outcomes of the coin toss and die cast. One way to represent the sample space is to use the Cartesian product of the sample space for the coin toss and the sample space for the die cast.

where H represents heads and T represents tails for the coin toss, and the numbers 1 through 6 represent the numbers on the die.

Each element in this sample space represents a possible outcome of the experiment, where the first element represents the outcome of the coin toss and the second element represents the outcome of the die cast. This sample space contains 12 possible outcomes, each with an equal probability of 1/12.

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Answer:

-----------------------------------

Recall triangle angle sum property, the sum of three interior angles is 180°.

Add up the three angle measures, then solve the equation for x:

Substitute the value of x and find the value of each angle:

The roots of the equation, f (x) = ( x - 6 )²( x + 2 )² are 6 and - 2.

The root of the function is calculated by setting the function equal to zero.

The given function is f (x) = ( x - 6 )²( x + 2 )²

we will separate the two equation and set them equal to zero.

( x - 6 )² = 0  ----  equation  ( 1 )

or

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

from the first equation, x = 6

from the second equation, x = - 2

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The complete question is below:

Find the roots of f(x) = (x - 6)² (x + 2)²

Answer: 5/2x-3

Step-by-step explanation: you would subtract 6 from both sides.

5x = 2y + 6

-6            -6

6-6=0 so they would cross out. and you can't subtract 5x from 6 because they aren't like terms. Your new equation would look like 5x-6 = 2y.

Now you need to get the y alone. To do that you need to divide everything by 2 so that the 2y crosses out. 5x-6 = 2y

                                                                            -----------------

                                                                             2    2    2

I'm trying to visually show it sorry if it looks weird. one you divide everything. (5/2) (-6/2) (2/2) you'll need to clean everything up.

Since you can't simply 5/2 leave it as a fraction. Which makes your answer: 5/2x - 3 = y or y = 5/2x - 3

The percentage of winners driving a Chevrolet who won with an average speed of at least miles per hour is fifty percent (50%).

We can infer that for a Chevrolet car,

the percentage of average speed (in miles/hour) for the range of 150-159.9 is 25%,

the percentage of average speed (in miles/hour) for the range of 160-169.9 is 18.75%,

and the percentage of average speed (in miles/hour) for the range of 170-179.9 is 6.25%.

Thereby, the percentage of winners of the race who were driving a Chevrolet and had an average speed of at least 150 miles/hour is,

50%.

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Step-by-step explanation:

Sure, I'd be happy to help!

5 feet 7 inches is equivalent to 170.18 cm.

Answer: The answer is 3 slices

Step-by-step explanation:

if you cut a pizza into 12 peices and devide it by 4 people each person gets 3

Answer:

maximum score = 92

Step-by-step explanation:

the maximum score is the largest value in the data set.

maximum score = 92