How many cubes, with side measures of 2 cm, will fit inside a right rectangular prism with dimensions of 6 cm by 8 cm by
4 1/2 cm?
Group of answer choices

24

27

108

54

Answer: $50

Step-by-step explanation: 30 divided by 3 =10

10 multiplied by 5 = 50

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

1.75 * 0.84

Step-by-step explanation:

1.74 * 0.84 = 1.4616

1.79 * 0.69 = 1.2351

Answer:

1.74 x 0.84 is greater

Step-by-step explanation:

1.74 x 0.84 = 1.4616

while

1.79 x 0.69 = 1.23509

The picture is enough to prove the triangles congruent with the pattern

Congruency simply means equivalent.  So two triangles are equivalent in the following conditions

The two triangles are ΔIJH and ΔKHJ

ΔIJH has two given sides with an included angle

Also, ΔKHJ has two given sides with an included angles

This is to say that the two triangles have SAS each

In conclusion, the two triangles are congruent

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Answer:

te queda $110

Step-by-step explanation:

espero que te sirva

Answer:

5 hours and 40 minutes late

Step-by-step explanation:

I am assuming by 1435 hours you meant 14:35 -- 2:35 pm.

Hence you subtract 8:15 by 2:35 as the two times you're subtracting should always be the same time format (12 or 24-hour) which is 12 hours in this case.

 08:15

- 02:35

Since the minutes of the time above (:15) is higher than 35, we need to add 60 to 15 minutes and at the same time, reduce 8 hours by 1 hour to 7 hours since we are adding 60 minutes (1 hour) to :15:

 07:75 (15+60)

- 02:35

and answer will be 5 hours and 40 minutes

Answer:

∠ AEB = 114°

Step-by-step explanation:

the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°

Answer:

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

Area of rectangle formula:

Given:

Find the missing side length:

Answer:

7.2cm

Step-by-step explanation:

We are here given that, the area of a rectangle is 33.12cm² and one of the side is 4.6cm .

We are interested in finding the length of the other side,

As we know that the area of rectangle is calculated using the formula,

Area = l * b

where l is the length and b is the breadth.

Now substitute the respective values,

33.12cm² = l * 4.6cm

l = 33.12cm²/4.6cm

l = 7.2 cm

Hence the value of second side is 7.2cm

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

9-49

a=  2r+ 7

b= 2.5x + 16

c= 3r-2x-8.8

Step-by-step explanation:

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The angles on the Unit Circle that make the equation -√3 csc(2θ) = 2 true are θ = π/6 + 2πn and θ = 5π/6 + 2πn, where n is an integer.

From the information, the following can be deduced:

-√3 csc(2θ) = 2

csc(2θ) = -2/√3

sin(2θ) = -√3/2

We know that sin(2θ) = 2sin(θ)cos(θ) by the double-angle identity for sine,

2sin(θ)cos(θ) = -√3/2

2sin(θ)cos(θ) = -√3/2

sin(θ)cos(θ) = -√3/4

sin(θ)cos(θ) = sin(π/3)sin(θ)

cos(θ) = sin(π/3)

θ = π/6 + 2πn, 5π/6 + 2πn

Therefore, the angles on the Unit Circle that make the equation -√3 csc(2θ) = 2 true are θ = π/6 + 2πn and θ = 5π/6 + 2πn, where n is an integer

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Answer:

8.54

Step-by-step explanation:

If thousandth's place is ≥ 5 , then add 1 to the hundredth place.

6.487 = 6.49

2.049 = 2.05

6.487 + 2.049 = 6.49 + 2.05  = 8.54

Answer:

259200

Step-by-step explanation:

so there are 86400 in one day. multiply by 3.

Answer:

259200

Step-by-step explanation:

60x24x3x60=

The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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The value of \(\(r\)\) is \(\(r = -2\)\), according to the given cartesian points.

To find the value of \(\(r\)\), we can use the slope-intercept form of a linear equation, \(\(y = mx + b\)\), where \(\(m\)\) represents the slope of the line. Given that the line has a slope of \(\(-10\)\) and passes through the cartesian points \(\((4, 8)\)\)and \\(((5, r)\)\), we can calculate the slope as follows:

\(\[m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{r - 8}}{{5 - 4}} = r - 8\]\)

Since the slope is \(\(-10\)\), we can equate it to the calculated slope and solve for \(\(r\)\):

\(\[-10 = r - 8\]\)

Simplifying the equation, we have:

\(\[r - 8 = -10\]\)

Adding \(\(8\)\) to both sides, we get:

\(\[r = -10 + 8\]\)

Therefore, the value of \(\(r\)\) is \(\(r = -2\)\).

In conclusion, the value of \(\(r\)\) in the line with a slope of \(-10\) passing through the points \((4, 8)\) and \((5, \(r\))\) is \(\(r = -2\)\). This satisfies the equation and represents the y-coordinate of the second point. This value of \(r\) indicates that the second point lies on the line with a slope of -\(10\) passing through (\(4,8\)).

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From the problem, we have a linear equation :

To find three solutions, we need to substitute three values of x.

ANSWER :

The solutions are (0, -8), (1, -3) and (2, 2)

The trigonometric ratio include the following:

In order to determine each of the trigonometric ratios, we would apply each of the trigonometric ratios because the given side lengths represent the adjacent side, opposite side and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp, sin(θ) = Opp/Hyp, tan(θ) = Opp/Adj

Where:

sin(θ) = Opp/Hyp

sin B = b/c

sin(θ) = Opp/Hyp

sin A = a/c

tan(θ) = Opp/Adj

tan A = a/b

cos(θ) = Adj/Hyp

cos B = a/c

cos(θ) = Adj/Hyp

cos A = b/c

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Complete Question:

Use the right triangle to determine the each of the trigonometric ratio.

Answer: If you divide 202/4=50.5 or 50 1/2

Step-by-step explanation:

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

Here in the figure attached below,

Given two triangles ΔABC and ΔDEF

Also given that,

ΔABC and ΔDEF are congruent to each other.

Given AC = 4cm

Since both triangles are congruent ,

Side AC is congruent to DF

Therefore DF = 4cm (based on SSS theorem).

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Answer:

1. Mean = r bar = 0.0154mm

Standard deviation = 0.0009096

2. Proportion of rework produced = 30ppm or 0.0003%

Proportion of scrap = 60ppm or 0.0006%

3 recommended value = 0.3000

Step-by-step explanation:

The mean = x bar = 0.3015mm

Standard deviation = r bar/d2

R bar = 0.0154 mm

d2 = 1.693mm

= 0.0154mm/1.693mm

= 0.0009096mm

B. Lower specification 0.295

P(x<0.295)

= ϕ(0.295-0.3015/0.0009096)

This gives us 0.00003

So we conclude that 30 ppm or 0.0003% of the parts produced by the process would be reworked

For scrap,

X>0.305 upper specifications

1-ϕ(0.305-0.3015/0.0009096)

= 1-0.99994

= 0.00006

So we conclude that 60 ppm or 0.0006% of the parts produced by the process would be scrapped.

c. to get the recommended value of the process mean

= (0.305+0.295)/2

= 0.6/2

= 0.3000

the recommended value would be 0.3000

Answer:

Option 1

Step-by-step explanation:

\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)

The value of x in the pentagon JKLMN is 7.2.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The pentagons ABCDE and JKLMN are similar.

when two figures have the same shape but their sizes are different, then such figures are called similar figures.

We need to find the value of x.

1/1.8=4/x

Apply cross multiplication

x=4×1.8

x=7.2

Hence, the value of x in the pentagon JKLMN is 7.2.

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Given:

The interest amount earned is, P = $735.

The number of years is, n = 7.

The rate of interest is, r = 5.75% = 0.0575.

The objective is to find the amount of interest earned.

Explanation:

The general formula to find the total amount earned by compount interest is,

Here, n represents the number of times the interest is compounded per year. It is given that the interest is compounded semi-annually.

So, the value of n = 2.

To find total amount:

Now, substitute the given values in the general formula.

To find interest amount:

Now, the interest amount can be calculated as,

Hence, the interest earned is $358.01.

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

Yes, if you want to graduate yes