plz help i will give brainliest

Answer:

There would be 5, 4 point questions and 10, 3 point answers

Step-by-step explanation:

Answer:

If a line segment is a diameter, then it is the longest chord in a circle.

Line segment AB is a diameter which is the longest chord.

Step-by-step explanation:

A  line segment joining any two points on a circle is called a chord of that circle. A chord that passes through the center of the circle is called a diameter of that circle. The length of the diameter is equal to 2* radius. We may draw unlimited number of chords in a circle but it can be verified by measurement that the one passing through the center is the longest. Hence it maybe concluded that the diameter of the circle is the greatest chord.

Answer:

4. \(4x^{2} +2x-2\)

Step-by-step explanation:

To add these two equations together, you have to combine like terms.  

1. \(x^{2} +3x^{2} = 4x^{2}\)

2. \((-3x)+5x = 2x\)

3. 7 - 9 = -2

Then you just combine all of these terms together into one equation and you have your answer.

Hope this helped!

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Hey! here is a trick for you

domain = all unique values of x

so, domain in the above relation is [0,1,4]

Answer and Explanation: The conditions when the net force and the net torque are zero are called static equilibrium.

The effect of the Rule of 78s when a borrower repays an add-on method loan early may result in higher interest charges and potential prepayment penalties due to the uneven allocation of interest throughout the loan term.

The Rule of 78s is a method used by some lenders to allocate interest charges in add-on method loans, particularly for consumer loans. When a borrower repays an add-on method loan early, the Rule of 78s may affect how the prepayment is handled and the amount of interest charged.

Under the add-on method, the interest is calculated upfront based on the original loan amount and term. With the Rule of 78s, the interest is allocated to the loan payments in a manner that assigns more interest to the earlier payments in the loan term. This means that during the initial period of the loan, the borrower is primarily paying off interest rather than the principal.

When a borrower repays an add-on method loan early, the Rule of 78s may result in a higher amount of interest being charged compared to a simple interest loan. As the early payments have been disproportionately allocated more interest, the borrower may have paid off less of the principal than they would have under a simple interest method. Consequently, the borrower may face a higher prepayment penalty as they have not paid as much towards the principal balance as anticipated.

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The given system is the system of two equations.

What is the system of linear equations?

A system of linear equations is a set of two or more linear equations that contain two or more variables. These equations are often used to model real-world situations and to find the values of the variables that make all the equations in the system true.

The tables of ordered pairs represent the points on the graphs of lines q and v. From the tables, we can see that line q can be represented by the equation y = 3x + 9 and line v can be represented by the equation y = -x + 10. Therefore, the system of equations represented by lines q and v is:

y = 3x + 9

y = -x + 10

We can also write these equations in the form of Ax + By = C :

3x + y = 9

-x + y = 10

Where A, B, and C are constants.

It's a system of two equations with two variables, x and y.

Hence, the given system is the system of two equations.

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Answer:

The second one is 33

The first one is 17

Step-by-step explanation:

For the first one your just adding three the second one your just adding 8

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Answer:

y+4= -16(x-9)

Step-by-step explanation:

point slope form is y-y1=m(x-x1)

substitute y-(-4)= -16(x-9)

simplify y+4= -16(x-9)

The range at which Dan's car can go is 3.33 miles

A car's range is the distance it can travel with the current amount of fuel in the tank.

The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.

The range of a car can be measured in the unit of distance.

Therefore the range of a car can be calculated as;

R = distance per gallon/ number of gallon.

Dan's car is 40mpg and has 12 gallons in it's tank.

Therefore it's range = 40/12

= 3.33miles.

therefore the range of Dan's car is 3.33miles

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Answer:

Whichever distance you can count the metric units and see that the x value is 7 on

Step-by-step explanation:

Whichever distance you can count the metric units and see that the x value is 7 on

Answer:

area of the original square = 36 in²

Step-by-step explanation:

given data

one side is increased = 9 inches

other side is decreased = 2 inches

area of the resulting rectangle = 60 in²

solution

we consider here x as the length of any one side

and

longer side of the resulting rectangle = x + 9

and

the shorter side x - 2

so that area of this rectangle is (s+9) × (s-2) = 60 in²

standard form of equation is  x² + 7x - 18 = 60   .....................1

it will be

x² + 7x - 78 = 0

(s+13) (s-6) = 0

so that here x  = -13

and  x = 6

here we Discard x = -13 because the side length cannot be negative.

so x = 6

and area of the original square = 36 in²

Answer

The fundamental theorem of algebra is true with quadratic equation x^2-12x+12=-20 with zeros of 4 or 8.

A quadratic equation is an equation with the highest power of unknown to be 2. It is given in the form Ax^2+ Bx+ C= 0

 finding the roots or zeros of the equation x^2-12x+12=-20 can be done by factorization method;

we equate the equation to zero by bringing -20 to the LHS .

x^2-12x+12+20=0

x^2-12x+ 32 = 0

 find the factors of +32 that their sum will give -12

x^2-8x-4x+32=0

grouping the above equation

(x^2-8x)(-4x+32)= 0

x(x-8)-4( x-8)= 0

(x-4))(x-8) = 0

for the equation above to be true.

x-4=0 or x-8 = 0

: x=4 or x=8.

In conclusion, the algebra theorem is obeyed because the zeros of the equation are real numbers

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The results of these studies suggest that both alcohol consumption and smoking can increase the risk of breast cancer. However, the confidence intervals of the two studies are different, so more research is needed to better understand the effects of alcohol consumption and smoking on breast cancer risk.

The two studies reported similar risk ratios (RRs) for breast cancer associated with alcohol consumption and smoking. However, the confidence intervals of the two studies were different. The RR for alcohol consumption had a 95% confidence interval of 1.4 to 2.2, while the RR for smoking had a 95% confidence interval of 0.6 to 3.5. This suggests that the true association between alcohol consumption and smoking and breast cancer may be different than what is suggested by the reported RRs. Therefore, more research is needed to better understand the effects of alcohol consumption and smoking on breast cancer risk.

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The amount that Susan actually have to pay should be considered as the $1,332.

Since the purchase price of the computer is $1,200

And, the sales tax rate is 11%

So here the total amount be like

= $1,200 + 11% of $1,200

= $1,200 + $132

= $1,332

hence, The amount that Susan actually have to pay should be considered as the $1,332.

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The missing sides and angles of the triangles are:

1) ∠L = 53°

LA = 23.145 ft

AB = 18.9 ft

2) ∠S = 57.31°

SA = 98.57 cm

SW = 69.12 cm

3) B = 30.71°

C = 99.29°

The law of cosine formula is expressed as:

c² = a² + b² - 2ab cos C

The Law of sines is expressed as:

a/sin A = b/sin B = c/sin C

Thus:

1) ∠L = 180 - (102 + 25)

∠L = 53°

LA/sin 102 = 10/sin 25

LA = 23.145 ft

AB = 10 * sin 53/sin 25

AB = 18.9 ft

2) ∠S = 180 - (79 + 43.69)

∠S = 57.31°

84.5/sin 57.3 = SA/sin 79

SA = 98.57 cm

SW/sin 43.69 = 84.5/sin 57.3

SW = 69.12 cm

3) 15/sin 50 = 10/sin B

sin B = (10 sin 50)/15

sin B = 0.5107

B = sin⁻¹0.5107

B = 30.71°

C = 180 - (50 + 30.71)

C = 99.29°

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The estimated mean amount of money spent per household on internet service each month is $59.95 with confidence interval.

To calculate the estimated mean amount of money spent per household on internet service each month, we first need to find the lower and upper bounds of the confidence interval. The lower bound is $47.45 and the upper bound is $72.45. We then take the average of these two numbers to get the estimated mean. The average of $47.45 and $72.45 is

($47.45 + $72.45) / 2

= $59.95.

Therefore, the estimated mean amount of money spent per household on internet service each month is $59.95.

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Answer:

-The volume of the cone is 100.5\(in^3\) .

Step-by-step explanation:

To find the volume of cone, you need the formula:

\(V =\frac{1}{3} \pi r^2 h\)

-Use the radius and the height for the formula:

\(V =\frac{1}{3} \pi 4^2 6\)

-Then, you solve:

\(V =\frac{1}{3} \pi 4^2 6\)

\(V = \frac{1}{3}\pi\) × \(4^2\) × \(6\)

\(V = \frac{1}{3}\pi\) × \(16\) × \(6\)

\(V = \frac{1}{3}\pi\) × \(96\)

\(V = \frac{96}{3} \pi\)

\(V = 32\pi \approx 100.53\)

-Round to the nearest tenth:

\(V \approx 100.5\)

So, therefore, the volume of the cone is 100.5\(in^3\) .

Part A:

Answer :  the pH of the buffer solution is approximately 6.895.

To find the pH of the buffer solution, we need to consider the dissociation of H2CO3 and the reaction with NaHCO3. The equilibrium expressions for these reactions are as follows:

Ka1 = [H+][HCO3-]/[H2CO3]

Kw = [H+][OH-]

Since the solution is a buffer, the concentration of H2CO3 and HCO3- are the same, which is 0.304 M.

Let's set up an ICE (Initial, Change, Equilibrium) table for the reaction:

H2CO3(aq) + H2O(l) ⇌ H3O+(aq) + HCO3-(aq)

         H2CO3    +   H2O   ⇌   H3O+    +   HCO3-

I        0.304 M                0              0

C         -x                        x            x

E   (0.304 - x)                  x          x

Since the initial concentration of H2CO3 is 0.304 M and the concentration of HCO3- is also 0.304 M, we can assume that x (change in concentration) is small compared to 0.304 M. Therefore, we can neglect x when subtracting it from 0.304 M in the equilibrium concentrations.

Using the equilibrium concentrations, we can write the equilibrium expression for the reaction:

Ka1 = [H+][HCO3-]/[H2CO3] = x/(0.304 - x)

As we can see, [H+] = x, which represents the concentration of H3O+ ions in the solution.

Using the Ka1 value provided (4.20 x 10^-7), we can solve the equation for x:

4.20 x 10^-7 = x/(0.304 - x)

Since x is small compared to 0.304, we can approximate 0.304 - x as approximately 0.304. So the equation becomes:

4.20 x 10^-7 = x/0.304

Solving this equation gives us x ≈ 1.277 x 10^-7.

Now, we can calculate the pH using the concentration of H3O+ ions:

pH = -log[H3O+] = -log(1.277 x 10^-7) ≈ 6.895

Therefore, the pH of the buffer solution is approximately 6.895.

The net ionic equation for the reaction that occurs when 0.088 mol KOH is added to 1.00 L of the buffer solution can be written as follows:

HCO3-(aq) + OH-(aq) → CO3^2-(aq) + H2O(l)

Part B:

Following a similar approach, we set up an ICE table for the reaction:

H2CO3(aq) + H2O(l) ⇌ H3O+(aq) + HCO3-(aq)

         H2CO3    +   H2O   ⇌   H3O+    +   HCO3-

I        0.311 M                0              0

C         -x                        x            x

E   (0.311 - x)                  x          x

Using the equilibrium concentrations, we can write the equilibrium expression:

Ka1 = [H+][HCO3-]/[H2CO3] = x/(0.311 - x)

Again, [H+] = x.

Using the given Ka1 value (4.20 x 10^-7), we can solve for x:

4.20 x 10^-7

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The correct answer is D. 6

Explanation:

To know precisely how the number of restaurants in the city decreases over time, it is necessary to determine the 18% of the total of restaurants each year and to subtract this number. The process year per year is shown below:

First-year- 60 restaurants- Find the percentage by writing the known value and using cross multiplication

\(60 = 100\) %

\(x = 18\)%

\(x 100 = 60 x 18\)

\(x = \frac{1080}{100}\)

\(x = 10.8\)   Number of restaurants that were closed

\(60-10.8 = 49.2\) New total

Second-year - 49.2 restaurants- Repeat te process

\(x = \frac{49.2x 18}{100}\) Shortened version of the equation. Total of restaurants, multiplied by percentage and divided into 100 (total percentage)

\(x = 8.8\)

\(49.2 - 8.8 = 40.4\) New total

Third-year- 40.4 restaurants

\(x = \frac{40.4 x 18}{100}\)

\(x = 7.2\)

\(40.4-7.2 = 33.2\)  New total

Fourth-year- 33.2 restaurants

\(x = \frac{33.2x 18}{100}\)

\(x = 6.3\)

\(33.2- 6.3= 26.9\) New total

Fifth-year- 26.9 restaurants

\(x = \frac{26.9 x 18}{100}\)

\(x = 4.8\)

\(26.9-4.8 = 22.1\) New total

Sixth-year- 22.1 restaurants

\(x = \frac{22.1x 18}{100}\)

\(x= 3.96\)

\(22.1-3.9 = 18.1\)

According to this at this rate, it will take at least 6 years for the number of restaurants to be below 20.

The area A burned as a function of time, t is

A(t)=78.5t²+62.8t+12.56

A circle's or sphere's radius is any of the line segments that connect the object's center to its perimeter; in more recent usage, it is also their length.

According to the given values ;

r(t)=5t+2

.°. A(t)=πr²=π*(5t+2)²

        =π(25t²+20t+4)

        = 78.5t²+62.8t+12.56

hence ,the area A burned as a function of time, t is

A(t)=78.5t²+62.8t+12.56

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Answer:

it will take 9 hours to empty the pool.

Step-by-step explanation:

The values for the mortgage monthly payments and interest are;

a) $50,000

b) $1,077.88

c) $123,346

d) $1,469.37

e) $64,486.6

f) 204.17

g) $369.17

A fixed-rate mortgage is a home loan with a fixed interest rate for the entire term of the loan.

a) The minimum required deposit would be 20% of $250,000, which can be obtained as follows;

Minimum deposit = 0.20 × $250,000 = $50,000

b) The monthly payment for a mortgage of $200,000 with a 4.2% APR, paid over 25 years can be calculated using the formula for a fixed-rate mortgage payment is; Monthly payment = P × r × (1 + r)ⁿ/[(1 + r)ⁿ - 1]

Where; P is the principal amount, which is $200,000, t is the monthly interest rate, which is the APR divided by 12, and n is the number of monthly payments to be made, which is 25 years × 12 months/year = 300

Therefore;

r = 4.2%/12 = 0.0035

n = 300

Monthly payment = $200,000 × 0.0035 × (1 + 0.0035)³⁰⁰/[(1 + 0.0035)³⁰⁰ - 1] = $1,077.88

The monthly payment = $1,000.34 (rounded to the nearest cent)

c) To calculate the total interest paid over the life of the loan, we formula for the total interest on a fixed-rate mortgage can be used as follows;

Total interest = Monthly payment × n - P

Therefore;

Total interest = $1,077.88 × 300 - $200,000 = $123,364.

d) The monthly payment for the mortgage of $200,000 with an APR of 3.9% over 15 years can be calculated using the same formula as in part (b), as follows;

r = 3.9%/12 = 0.00325

n = 15 years × 12 months/year = 180

Therefore;

Monthly payment = $200,000 × 0.00325 × (1 + 0.00325)¹⁸⁰/[(1 + 0.00325)¹⁸⁰ - 1] ≈ $1,469.37

e) The total interest paid over the life of the loan is therefore;

Total interest = $1,469.37 × 180 - $200,000 = $64,486.6

f) The annual property tax would be 0.98% of the value of the home, which is; $250,000 × 0.98% = $2,450

The monthly property tax is therefore;

Monthly property tax = $2,450/12 ≈ $204.17

g) The monthly homeowner insurance is $1,980/12 = $165

h) The bank will typically require the borrower to set up an escrow account, which is used to pay property taxes and homeowner's insurance. The amount held in escrow will depend on the monthly property tax and homeowner's insurance payments. Assuming the monthly tax is $204 and the monthly homeowner's insurance is $165. The amount in the escrow account is therefore;

Escrow = $204.17 + $165 = $369.17

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Answer:

This is a geometric sequence and the common ratio is equal to ½.

Step-by-step explanation:

For a sequence to be termed to be in arithmetic progression, the difference between consecutive terms are the same and constant.

On the other hand, a sequence is termed to be in geometric progression if the ratio of a term to the term before it is the same as the ratio between the next term to it.

Let's consider the sequence given: 12, 6, 3 . . .

=>Let's try to find the common difference if it would be constant: 6-12 (-6) ≠ 3-6 (-3)

The sequence is not arithmetic.

=>Let's also try to find the ratio of the sequence to see if it is constant:

6/12 (½) = 3/6 (½)

Therefore we can conclude the sequence is geometric because the common ratio (½) is constant.

This is a geometric sequence and the common ratio is equal to ½.

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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The equation of the line of best fit is ŷ = 0.06x + 2.57

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

Years Since 2000 0 1 2 3 4 5 6 7 8 9

Average Cost ($) 2.59 2.81 2.65 2.67 2.88 2.70 2.85 2.88 3.17 3.24

Next, we enter the above values in a graphing tool;

The calculation summary are as follows

The regression equation is represented as

ŷ = bx + a

Where

b = SP/SSX = 4.94/82.5 = 0.06

a = MY - bMX = 2.84 - (0.06*4.5) = 2.57

So, we have

ŷ = 0.06x + 2.57

Hence, the equation of the line of best fit is ŷ = 0.06x + 2.57

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