the formula gives the length of the side, s, of a cube with a surface area, sa. how much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches? in. in. in. in.

Answer: 72 cm

Step-by-step explanation:

78 is the hypotenuse, so that it will be the c

30^2 + b^2 = 78^2

900 + b^2 = 6084

b^2 = 5184

b= 72cm

1760 ft² area will be covered with 11 gallons of paint.

When two quantities are related in a linear relationship, then that arrangement is said to be in proportion.

Given that, a proportional relationship between gallons of paint and the area of the set.

The relation is :-

x (gallon of pain)  y (area)

2.5                            400

4                                640

7.5                             1200

11                                 ?

Establishing the proportion,

Area covered in 1 gallon =

400/2.5 = 640/4 = 1200/7.5 = 160 ft²

That means, in 1 gallon, there will be 160 ft² area covered.

Therefore, in 11 gallons = 160×11 = 1760 ft²

Hence, in 11 gallons, 1760 ft² area is being covered.

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Answer:

x= -2

Step-by-step explanation:

5x+1/3=1/3x-9

-1/3x.      -1/3x

4 2/3x+1/3= -9

           -1/3.  -1/3

4 2/3x= -9 1/3

14/3x= -28/3

/14/3.    /14/3

x= -28/3*3/14

x= -84/42

x= -2

hopes this helps please mark brainliest

Answer:

x = -2

Step-by-step explanation:

5x + 1/3 = 1/3x - 9

5x - 1/3x + 1/3 = -9

5x * 3                           15x

       --               >           --              (remember -> 5x is the same as 5/1x)

       3                            3

15x/3 - 1/3x + 1/3 = -9

14x/3 + 1/3 = -9

14x+1/3       = -9              (14x + 1 is ALL over 3)

Now multiply by 3 on both sides to cancel out the denominator since 3 is the denominator.

14x + 1 = -27

14x = -28

(divide by 14 to both sides)

x = -2

The area of the given polygon is 30 square units.

The area of a triangle can be calculated using the formula 1/2[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)] where (x₁, y₁), (x₂, y₂) and (x₃, y₃) are the coordinates of its vertices. This formula is also useful in finding the area of any polygon with given coordinates.

The area of the given polygon can be calculated by the expression of the area of triangle as 1/2[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)].

The given polygon can be divided into two ΔABC and  ΔACD,

Then, the area is given as follows,

Area of ΔABC +  Area of ΔACD

= 1/2|[-3(4 - 1) + -3(1 - 1) + 7(1  - 4)]| + 1/2|[-3(1 - 4) + 7(4 - 1) + 7(1 - 1)]|

= 1/2 × 30 + 1/2 × 30

= 30

Hence, the area of the given polygon is 30 square units.

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By using $9,455 dollars we can get 151 bags of chips and $7,600 dollars we can get 122 bags of chips and 16000 bags for $1,000,000 dollars.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that you can buy 2 bags of chips for $125.

We need to find how many bags of chips we can get by $9,455 dollars,

$7,600 dollars and $1,000,000 dollars.

2/125=x/9455

Apply cross multiplication

2×9455=125x

18900=125x

Divide both sides by 125

x=151

So 151 bags we can get by using $9,455 dollars.

Now for $7,600 dollars.

2/125=x/7,600

2(7600)=125x

15200=125x

x=121.6 =122

So 122 bags we can get by using $7,600 dollars.

Now for $1,000,000

2/125=x/1,000,000

2000000=125x

Divide both sides by 125

16000=x

16000  bags for $1,000,000

Hence, 151 bags we can get by using $9,455 dollars, 122 bags we can get by using $7,600 dollars and 16000  bags for $1,000,000

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The mentioned data of 50 kilometres in hours is speed of 50 kilometres per hour.

The 50 kilometres refere to the distance and hour is representative of time. Now, ratio of distance and time indicates the speed or rate of movement of the concerned thing.

The speed or rate of movement holds significance in real world calculations. Based on it, the speed of bucket carrying water from well can be increased or decreased, movement of vehicles which may cause accident, distance covered by trains, airplanes, ships and other transport objects by specific speed in particular time limit.

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Answer:

1/w^4

Step-by-step explanation:

Answer:

20T+12L[tex]\geq[/tex]200

T+L[tex]\leq[/tex]18

Step-by-step explanation:

Answer:

Step-by-step explanation:

15% of 3,000 is 450

A) Reject H0 if F > 5.417.

B) We conclude that the average number of months before a raise was granted varied between the four CPA firms at the 0.05 level of significance but are unable to rule out the null hypothesis.

Given,

a) According to the table, the values for df1 and df2 are 3 and 15, respectively. Furthermore, a significance cutoff of = 0.01 is offered.

An additional f-value of 1.75 is given.

Given the significance level of = 0.01 and the corresponding values of df1 and df2 from the f-distribution table, we have;

F-critical 5.417

Normally, we reject H0 if F > 5.417.

We conclude that we do not rule out H0 at the 0.01 level of significance in this case because F is 1.75 5.417.

b) Using the values of df1 = 3 and df2 = 15 for 0.05 level of significance from the second linked table, we have

F-critical has a value of 3.2874.

The f-value is once more less than this significant one.

As a result, we cannot conclude that the average number of months until a raise was granted varied among the four CPA companies at the 0.05 level of significance and reject the null hypothesis.

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Answer:

-4

Step-by-step explanation:

First find the slope of the original line

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\\frac{1-0}{4-0} \\\frac{1}{4}[/tex]

Slope = 1/4

Then take it's negative reciprocal to get the slope of the perpendicular line by dividing 1 by the slope and then changing the sign

-4  

Answer: 2x

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

The symbolic equation for the location of the center of mass of 3 beads is [tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3

Mass of 1st bead = m1 = 22 g

Mass of the 2nd bead = m2 = 12 g

Mass of the 3rd bead = m3 = 51 g

Distance of the 1st bead from left end of the rod = d1 = 1.5 cm

Distance of the 2nd bead from the first bead = d2 = 1.9 cm

Distance of the 3rd bead from the second bead = d3 = 4.5 cm

Location of the center of mass of the three beads relative to the left end of the rod = xcm

We want to find the center of mass relative to the left end of the rod therefore we will need the distances of each bead from the left end of the rod.

Distance of the first bead from the left end of the rod = x1

x1 = d1

Distance of the second bead from the left end of the rod = x2

x2 = d1 + d2

Distance of the third bead from the left end of the rod = x3

x3 = d1 + d2 + d3

[tex]x_{cm}[/tex] = m1 x1 + m2 x2 + m3 x3 / m1 + m2 + m3

[tex]x_{cm}[/tex]= m1(d1) + m2(dı + d2) + m3(d1 + d2 +d3)/ m1 + m2 + m3

[tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3

Substituting the values to get a numerical answer,

[tex]x_{cm}[/tex] = (22)(1.5) + (12)(1.5 +1.9) + (51)(1.5 +1.9 +4.5) 22 + 12 + 51

xcm = 5.61 cm

Location of the center of mass of the three beads relative to the center bead = x

Distance of the first bead from the center bead (second bead) = x4

x4 = -d2 (Negative as it is to the left of the second bead)

Distance of the second bead from the center bead (second bead) = x5 = 0 cm

Distance of the third bead from the center bead (second bead) = x6

x6 = d3

x = m1 x4 + m2 x5 + m3 x6/ m1 + m2 + m3

x = m1 ( - d2) + m2 (0) + m3 (d3) / m1 + m2 + m3

x = - m1 d2 + 0 + m3d3 / m1 + m2 + m3

x = m3d3 - m1 d2 / m1 + m2 + m3

Substituting the values to get a numerical answer,

x= (51) (4.5) - (22)(1.9)/22 + 12 + 51

x = 2.21 cm

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Answer:

x = 3.

Step-by-step explanation:

To solve this equation, we first need to get all the terms containing the variable x on one side of the equation and all the constants on the other side. We can do this by adding 8 to both sides of the equation. This will give us:

$$-(7x-8) + 8 = 2-5x + 8$$

Next, we can simplify the left side of the equation by combining the two terms:

$$-7x + 8 + 8 = 2-5x + 8$$

This gives us:

$$-7x + 16 = 2-5x + 8$$

Now, we need to get all the x terms on one side and all the constants on the other side. We can do this by adding 5x to both sides of the equation:

$$-7x + 16 + 5x = 2-5x + 8 + 5x$$

This gives us:

$$-2x + 16 = 2 + 8$$

We can simplify the left side of the equation by combining the two terms:

$$-2x + 16 = 10$$

Now, we need to get all the x terms on one side and all the constants on the other side. We can do this by subtracting 16 from both sides of the equation:

$$-2x + 16 - 16 = 10 - 16$$

This gives us:

$$-2x = -6$$

To solve for x, we need to divide both sides of the equation by -2:

$$\frac{-2x}{-2} = \frac{-6}{-2}$$

This gives us:

$$x = 3$$

Therefore, the solution to the original equation is x = 3.

Answer:

angle L= 55 degrees

Angle Lmk= 62 degrees

Step-by-step explanation:

we will find Lmk first by subtracting 118 by 180
180-118

62

Now the sum of all the three angles of any triangle equal 180

so we can set all these angles equal to find x

(6x-9)+(4x+7)+62=180

10x-2+62=180

10x+60=180

     -60. -60

10x=120

/10.  /10

x=12

4(12)+7

48+7

55

Hopes this helps have a wonderful day

When making decisions: c) appropriate weight must be given to both quantitative and qualitative factors.

Decision-making is a difficult process, especially when the issue at hand is complex and the significance of the outcome impacts the stakeholders. Decision-making is his five-step process. Recognize situations that require decision making. identifying and developing alternative courses of action; evaluating alternatives; choosing one of the alternatives and carrying out the chosen steps.

Quantitative decisions are primarily based on statistical analysis of collected data, whereas qualitative decisions are based on many algorithms such as data type and quality, factors influencing collected data, and risk assessment. It is based on more than just numeric data values ​​to make decisions.

Quantitative factors are the basis of numerical determination. The impact of the decision on stakeholders and their reactions. investment valuation; break-even analysis; market research; sales forecasting; critical path and decision tree analysis. Qualitative factors consider other aspects that can influence the outcome of a decision, such as a SWOT (Strength Weakness Opportunities Threats) analysis. HR management issues such as motivation, morale and retention. PEST (Political, Economic and Social Technology); Advertising and Propaganda; Long-Term Survival/Development Issues and Stakeholder Analysis.

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479,001,600 necklaces can be made using 13 different beads.

We will be using 13 different beads in our necklace, and the arrangement of the beads is what distinguishes one necklace from another.

Additionally, the mirrored necklaces are different because we are unable to turn the necklaces around (the positions of the beads are mirrored)

We have 13 alternatives for the first bead, 12 options for the second, and so on.

if the product of the options for each choice results in a total number of combinations equal to 1, then we have:

Combinations of the form C=13*12*11*10*9*8*7*6*5*4*3*2*1

C = 6,227,020,800.

Now that the necklace may be rotated, a combination is possible.

A B C D E F G H I J K L M (Each letter corresponds to a certain bead)

is identical to other orders as

A through Z: m A B C D E F G H I J K L

With 13 rotations for each combination, the actual number of combinations is:

C/13 = 6,227,020,800/13 = 479,001,600

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Answer:

[tex]529\pi[/tex] cm²

Step-by-step explanation:

[tex]d=46 \implies r=23 \\ \\ A=\pi r^2=\pi (23^2)=529\pi[/tex]

Answer:

4/3

Step-by-step explanation:

4-8/2-5

-4/-3

4/3

hopes this helps

Answer: 4/3 is the slope

a. To find the value of the home in the year 2000, we need to find how many 16-year intervals have passed between 1992 and 2000. Since 2000 is 8 years after 1992, we have that $\frac{8}{16} = \frac{1}{2}$ 16-year intervals have passed. This means that the value of the home has doubled once since 1992, so it is now worth $136,500 * 2 = $273,000.

b. The growth in housing value as a function of time in t years since 1992 can be represented by the equation $V(t) = 136,500 * 2^{\frac{t}{16}}$, where $V(t)$ is the value of the home in t years after 1992 and 2 is the factor by which the value has doubled every 16 years.

c. The growth in housing value as a function of time in d decades since 1992 can be represented by the equation $V(d) = 136,500 * 2^{\frac{d * 10}{16}}$, where $V(d)$ is the value of the home in d decades after 1992 and 2 is the factor by which the value has doubled every 16 years.

d. To find the value of the home 1.5 decades after 1992, we can use the equation $V(d) = 136,500 * 2^{\frac{d * 10}{16}}$. Plugging in $d = 1.5$, we get $V(1.5) = 136,500 * 2^{\frac{1.5 * 10}{16}} = 136,500 * 2^{0.9375} = $351,284.375.

The equation for the line in slope-intercept form y=-4x+5

1. We will, first of all, Determine the slope by counting down and over from one place to another. Let's start at (-2,13) and work our way down (0,5)

If at all you are concerned about miscounting, you can use the slope formula, which is y2-y1/x2-x1.

5-13/0--2 \s = -8/2

The gradient is -4.

2. Determine where the line intersects the y-axis to obtain the y-intercept. It crosses it at 5 here.

3. Write the equation in slope-intercept form, y=mx+b, where mx is the slope and b is the y-intercept.

y=-4x+5

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Answer: A song costs 0.99$, and an album 9.99$

Step-by-step explanation:

14.94=5x+1y

22.95=3x+2y

29.88=10x+2y

22.95=3x+2y

subtract

6.93=7x

x=0.99$

y=9.99

The rent of the apartment during the 9th year of living in the apartment is $362

It should be noted that based on the information given, the person rent an apartment that costs $1600 per month during the first year, but the rent is set to go up 9.5% per year.

This will be:

= $1600 × (1 + 9.5%)^9

= $1600 × 1.095^9

= $1600 × 2.2632

= $3620

The rent is $3620.

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Answer:

Step-by-step explanation:

15

Answer:

minor arc KM = 60°

Step-by-step explanation:

the measure of an arc is equal to the measure of the central angle that subtends it , then

arc KM = ∠ KLM = 60°

Answer:

Step-by-step explanation:

Slope is "rise over run" or change is y values divided by change in x values

the change is x values is zero. 8-8=0. Anything divided by zero is infinity.

the slope is infinite. The line connecting the 2 points is a vertical line, x=8.

Vertical lines have infinite slope.

The time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days

What is decay constant?

Decay constant k = ln(2) / half life

= ln(2) / 27.8

= 0.024933 day⁻¹

For first order decay:

ln(M / M₀)  = -kt

where M is mass remaining at time t and  M₀ is initial mass.

ln(0.700/5/75) = -0.024933 * t

Time, t = 99.4 days

Hence, time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days.

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