solve please help!!!!

A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

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Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

Explanation: Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used.3 inches is the measurement of the scar in customary units. To convert 3 inches to metric units, multiply it by the conversion factor. There are 2.54 centimeters in one inch, which is the conversion factor. To find the equivalent metric length of a 3-inch scar, multiply 3 by 2.54. Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.  The equivalent metric length of a 3-inch scar would be 7.62 centimeters. Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used. There are 2.54 centimeters in one inch, which is the conversion factor.

Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

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By evaluating the exponential equation, we will see that the amount that Erica owes after 6 years is $8551.56

Here we just need to use the exponential equation:

A = P*(1 + r/n)^(n*t)

Where A represents the amount owed t years after, and the other letters represent:

Replacing all that in the given quadratic equation we will get:

A = $5,300*(1 + 0.08/12)^(12*6) = $8551.56

Then the amount that Erica owes is $8551.56

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Given :

Electronic configuration of an electron :

\(1s^2\ 2s^2\ 2p_x^2\ 2p_y^2\ 2p_z^2\ 3s^2 \ 3p_x^2\ 3p_y^2\ 3p_z^2\) .

To Find :

The element having such an electronic configuration .

Solution :

We know , the sum of all the power of s and p in all the orbit gives total number of atoms in elements .

So , atomic number is :

\(Z=2+2+(2+2+2)+2+(2+2+2)\\\\Z=18\)

Since , the atomic number is 18 .

Therefore , the element is Argon .

Hence , this is the required solution .

The distance between the two towers is 2285.4 m (2.3 km)

An angle of depression is the angle formed when a given object is viewed below the horizontal plane.

Let the horizontal distance to the base of the first tower be represented by x, so that;

Tan θ = opposite/ adjacent

Tan 37 = x/ 2700

x = Tan 37 * 2700

  = 0.7536*2700

  = 2034.6

x = 2034.6 m

Let the horizontal distance to the base of the second tower be represented by y, so that;

Tan θ = opposite/ adjacent

Tan 58 = y/ 2700

y = Tan 58 * 2700

  = 1.6*2700

  = 4320

y = 4320 m

The distance between the two towers = y - x

                           = 4320 - 2034.6

                           = 2285.4

The distance between the two towers is 2285.4 m (2.3 km).

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The equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is; m = (55.5 - 19)/5

Distance that she wants to ride this week = 55.5 miles

Distance she has already ridden so far = 19 miles

Now, we are told that she will ride 5 more days.

If m is the average number of miles she has to ride to meet her goal, then we can say that;

5m + 19 = 55.5

Making m the subject by, we have;

m = (55.5 - 19)/5

Thus, the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is;

m = (55.5 - 19)/5

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Mr. Carlson is most clearly underestimating the importance of creating a control group in assessing the effectiveness of the flu vaccine for city residents.

A control group is an essential component in scientific studies, particularly in assessing the effectiveness of interventions such as vaccines. It allows for comparison and evaluation of the treatment group's response to the intervention against a group that does not receive the intervention (placebo or alternative treatment). By omitting the control group and administering vaccine injections to all city residents, Mr. Carlson is not able to establish a baseline for comparison. This lack of comparison makes it challenging to determine the true effectiveness of the flu vaccine in the city's population.

Creating a control group helps to account for factors other than the vaccine that could affect the outcomes. It provides a reference point to assess the vaccine's efficacy by comparing the results between the treatment group (those who receive the vaccine) and the control group (those who do not receive the vaccine). This approach allows researchers to identify any differences in outcomes and attribute them to the vaccine itself, rather than confounding variables.

Therefore, by not including a control group, Mr. Carlson is neglecting a critical aspect of the scientific process in evaluating the effectiveness of the flu vaccine for city residents.

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Answer:

x=0

Step-by-step explanation:

Answer:

Infinitely Many Solutions

or 7x+30=7x+30

Step-by-step explanation:

1 Expand.

7x+30=x+6x+307x+30=x+6x+30

2 Simplify  x+6x+30x+6x+30

 to  7x+307x+30.

3 Answer

7x+30=7x+307x+30=7x+30

Answer:

71

Step-by-step explanation:

There are 12 inches in a foot:

12 inches x 5 feet = 60

60 + 11 inches = 71 inches total

Answer:

71 inches

Step-by-step explanation:

12 inches in a foot

12*5

60+11

71 inches

Hope this hopes. Have a great day. May it be filled with joy and happiness.

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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1,-2 is the slope of this line.

Answer:

b=3v/h

Step-by-step explanation:

v=1/3bh

x3.  x3

3v=bh

/h.  /h

3v/h=b

Hopes this helps please mark brainliest

Answer:

3v/h

Step-by-step explanation:

v = 1/3bh

Multiply everything by 3 to get rid of the fractions. Just makes it look cleaner.

3v = bh

Then divide by h to isolate b on both sides.

3v/h = b

Answer:

52 weeks

Step-by-step explanation:

Cousins bank account

52 x 25 = 1300

1855 - 1300 = 555

My bank account

52 x 10 = 520

520 + 35 = 555

Answer:

56 Chocolate Chip cookies

Step-by-step explanation:

To find the answer first add up all of the cookies, in this case, 40+40+40+40 witch equals 160. then find 35% of that. This can be done by dividing 160 by 100 to get 1% then multiplying that by 35 to get 35% witch is 56. Therefore you have 56 Chocolate Chip cookies.

a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.

Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)

The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%

≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%

≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%

≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%

≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.

Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.

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Answer:sometimes

Step-by-step explanation:

Answer:

Yes i do because pull ups were so fun

Answer:

A Reflection

Step-by-step explanation:

In geometry, a reflections would be referred to as a flip. A reflection is a representation of a shape. An picture will mirror thru the line of reflection. If a figure is said to be a mirror of another figure, then every point in that figure is equal to every corresponding point in another figure.

Answer:

67

Step-by-step explanation:

1. Find the common difference of the arithmetic sequence

2. Find the 3rd term of the arithmetic sequence using the arithmetic sequence formula

⭐What is an arithmetic sequence?

1. Substitute the first term into the arithmetic sequence formula

\(a_n = a_1 + d(n-1)\)

\(a_n = 40+d(n-1)\)

2. Substitute the 7th term into the equation to solve for d

\(a_7 = 40+d(7-1)\\a_7 = 40+d(6)\)

\(a_7 = 40 + 6d\\121 = 40 + 6d\)

\(81 = 6d\) . . . . . . . subtract 40 from both sides of the equation

\(13.5 = d\) . . . . . . divide both sides by 6 to isolate d

3. Substitute d back into our original equation

\(a_n = 40 +13.5(n-1)\)

4. Solve for the third term by substituting 3 for n

\(a_n = 40+13.5(n-1)\\a_3 = 40+13.5(3-1)\\a_3 = 40+13.5(2)\\a_3 = 40 + 27\\\)

∴ \(a_3 = 67\)

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The divergence of F is 2xyi - 15(2²-3x) 4+uy³k and the curl of F is -x²yi - 15u³k.

To find the divergence and curl of the vector field F(x, y, z) = x²yi - (2²-3x) 5+uy³k, we can use vector calculus operations.

The divergence of a vector field measures the rate of outward flow from an infinitesimally small region surrounding a point. It is calculated using the divergence operator (∇·F), which is the dot product of the gradient (∇) with the vector field F. In this case, the divergence of F can be found as follows:

∇·F = (∂/∂x)(x²yi) + (∂/∂y)(- (2²-3x) 5+uy³k) + (∂/∂z)(0)

      = 2xyi - 15(2²-3x) 4+uy³k

The curl of a vector field measures the rotation or circulation of the field around a point. It is calculated using the curl operator (∇×F), which is the cross product of the gradient (∇) with the vector field F. In this case, the curl of F can be found as follows:

∇×F = (∂/∂x)(0) - (∂/∂y)(x²yi) + (∂/∂z)(- (2²-3x) 5+uy³k)

      = 0 - x²yi - 15u³k

Therefore, the divergence of F is 2xyi - 15(2²-3x) 4+uy³k and the curl of F is -x²yi - 15u³k.

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Question 9

\(\frac{\sin x}{23}=\frac{\sin 27^{\circ}}{11}\\\\\sin x=\frac{23\sin 27^{\circ}}{11}\\\\x \approx 71.7^{\circ}, 108.3^{\circ}\)

Both of these cases satisfy the angle sum of a triangle.

Question 11

\(\frac{\sin x}{27}=\frac{\sin 74^{\circ}}{26}\\\\\sin x=\frac{27 \sin 74^{\circ}}{26}\\\\x \approx 86.6^{\circ}, 93.4^{\circ}\)

Both of these cases satisfy the angle sum of a triangle.

Answer:

18

Step-by-step explanation:

The boys collected:

12 · 16 = 192

The girls collected:

15 · 14 = 210

So the girls collected 18 more cans more than the boys.

(Integers calculation)

A: In Federal packaging and labeling regulations regarding radioactive material the probability of an emergency responder receiving a radiation acute dose during response to a transportation incident is extremely low.

These regulations require that radioactive material be contained in robust containers, labeled with clear warning signs, and tracked throughout its transport.

Additionally, federal regulations require that the material be transported with a certified transport vehicle, by a qualified driver, and with appropriate emergency response plans in place.

This comprehensive approach to safety reduces the probability of an emergency responder receiving an acute dose of radiation during the response to a transportation incident to a very low level.

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the sum of a geometric series, we can use the formula S = a(1 - r^n) / (1 - r), where S is the sum, a is the first term, r is the common ratio, and n is the number of terms. The correct answers for the three cases are: a) 3093, b) 1020, and c) 124.992.

a) For the geometric series 48+120+...+1875, the first term a = 48, the common ratio r = 120/48 = 2.5, and the number of terms n = (1875 - 48) / 120 + 1 = 15. Using the formula, we can find the sum S = 48(1 - 2.5^15) / (1 - 2.5) ≈ 3093.

b) For the geometric series 512+256+...+4, the first term a = 512, the common ratio r = 256/512 = 0.5, and the number of terms n = (4 - 512) / (-256) + 1 = 3. Using the formula, we can find the sum S = 512(1 - 0.5^3) / (1 - 0.5) = 1020.

c) For the geometric series 100+20+...+0.16, the first term a = 100, the common ratio r = 20/100 = 0.2, and the number of terms n = (0.16 - 100) / (-80) + 1 = 6. Using the formula, we can find the sum S = 100(1 - 0.2^6) / (1 - 0.2) ≈ 124.992.

Therefore, the correct answers are a) 3093, b) 1020, and c) 124.992.

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Answer:

1.666 repeating

Step-by-step explanation:

Can i please get brainiest?

Answer: 1.666 repeating

Answer:

55 is the answer hope it helps...

The second graph  represents the function \(f(x)=8^{\frac{1}{3} x}\)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is

\(f(x)=8^{\frac{1}{3} x}\)

At x=0, f(0)=1

At x=1, f(1)=2

At x=2, f(2)=4

The graph of f(x) passing through the points (0,1), (1,2), (2,4),(3,8).

According to these coordinates we can say that the graph of f(x) is represented by option 2.

Therefore correct option is 2.

Hence, the second graph  represents the function \(f(x)=8^{\frac{1}{3} x}\)

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Answer:

x + 14y

Step-by-step explanation:

Answer:

1hr = $9

7hrs = (9×7)

=$63

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY.

Answer:

h=31.4 cm

Step-by-step explanation:

A=lateral surface area

c=circumference

h=height

A= c*h

solving for h we get:

h=A/c=120pi/12=10pi