1. How do I find the slope of (2,4) (4,7)

Answer:

An acute triangle is a triangle with three acute angles. An obtuse triangle is a triangle with one obtuse angle and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry

Given :

Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group.

Her tips averaged 18% of the total amount spent by all the groups of customers that day.

To Find :

Brianna's tip income earnings on Friday.

Solution :

Total amount of money spent by 12 groups :

P = $ 12×186 = $2232 .

She got tip of 18% of the total amount spent by all the groups of customers.

\(T = P\times \dfrac{20}{100}\\\\T= 2232\times \dfrac{20}{100}\\\\T=\$446.4\)

Brianna's tip income earnings on Friday is $446.4 .

Hence, this is the required solution.

Hi there!

\(\large\boxed{x \leq -9}\)

3x - 7 ≥ 4x + 2

Subtract 3x from both sides:

3x - 3x - 7 ≥ 4x - 3x + 2

-7 ≥ x + 2

Subtract 2 from both sides:

-7 - 2 ≥ x + 2 - 2

-9 ≥ x

x ≤ -9

Answer:

16 and -16

Step-by-step explanation:

Answer: D. 16 and -16

Step-by-step explanation: I dont think you need an explanation because it is multiple choice.

Answer:

x = 36

Step-by-step explanation:

the sum of the exterior angles of a polygon = 360°

the 5 exterior angles of a regular pentagon are congruent , then

exterior angle = 360° ÷ 5 = 72° , then

2x = 72 ( divide both sides by 2 )

x = 36

Answer:  D x=36

Step-by-step explanation:i took the test;)

Answer:

The formula for the volume of a hemisphere is V = (2/3)πr³. Solving for r, we get r = (3V/4π)^(1/3). Substituting V = 2507 in³, we get r ≈ 7.5 in. The diameter of a hemisphere is twice its radius, so the diameter of this hemisphere is approximately 15 inches to the nearest tenth of an inch.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

4(x - 3) - 3x = - 7 ← distribute parenthesis by 4

4x - 12 - 3x = - 7 , collect like terms

x - 12 = - 7 ( add 12 to both sides )

x = 5

The leap-frog scheme for the IVP ū' = F(ū) is consistent of order 1, assuming ū belongs to C^1([0, T]) and F is Lipschitz continuous with constant L.

The consistency of a numerical scheme measures how well it approximates the continuous problem as the step size approaches zero. To prove that the leap-frog scheme is consistent of order 1, we need to show that the scheme approaches the continuous problem with an error of O(Δt).

In the leap-frog scheme, the solution is approximated at time step n as Un, and the equation Un+1 - Un-1 = ΔtF(Un) is used to update the solution at each time step.

To establish consistency, we consider the Taylor expansion of ū at time step n+1 around the point nΔt:

ū(n+1Δt) = ū(nΔt) + Δtū'(nΔt) + O(Δt^2)

Since ū' = F(ū), we have:

ū(n+1Δt) = ū(nΔt) + ΔtF(ū(nΔt)) + O(Δt^2)

Now, let's examine the difference between the scheme and the continuous problem:

Un+1 - ū(n+1Δt) = Un+1 - (ū(nΔt) + ΔtF(ū(nΔt))) + O(Δt^2)

By rearranging terms and applying the leap-frog scheme equation, we get:

Un+1 - ū(n+1Δt) = (Un - ū(nΔt)) - Δt(F(Un)) + O(Δt^2)

Since F is Lipschitz continuous with constant L, we can bound the term F(Un) by L|Un - ū(nΔt)|. Therefore:

|Un+1 - ū(n+1Δt)| ≤ |Un - ū(nΔt)| + LΔt|Un - ū(nΔt)| + O(Δt^2)

This shows that the error between the scheme and the continuous problem is of O(Δt), establishing the consistency of the leap-frog scheme of order 1.

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Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Answer:

40 Feet

Step-by-step explanation:

1 inch = 10 feet

4 inch = 4 * (10 feet)

4 inch = 40 feet

The value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.

Now we have a given term

\(\sum_{n=1}^{4} 3(4)^{n-1}\)

By solving the above term;

\(\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^{1-1}+3(4)^{2-1}+3(4)^{3-1}+3(4)^{4-1}\)

\(\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^0+3(4)^1+3(4)^2+3(4)^3\)

\(\sum_{n=1}^{4} 3(4)^{n-1}=3 + 12 +48 + 192\)

Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

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Answer:

1. 3 + 12 +48 + 192

2. 255 edge

Step-by-step explanation:

The exponential functions for the two scenarios given are -

a) \(y = 12500 (0.91)^x\), Price of car after 5 years is $7800.40.

b) \(y = 50 (1.03)^x\), Price of baseball card after 5 years is $57.96.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The exponential function is in the form -

\(y=ab^x\)

Here y is the function, a is the constant base value, b is the rate of growth/depreciation and x is the time in years.

The first statement is -

A $12,500 car depreciates 9% each year.

The value for base is a = $12,500.

The value for rate is 9% = 0.09

Since, the price is depreciating the value for b is b = (1 - 0.09)

The exponential function is -

\(y = 12500 (1 - 0.09)^x\)

\(y = 12500 (0.91)^x\)

The value of car after 5 years can be obtained by substituting x = 5.

\(y = 12500 (0.91)^5\\y = 12500(0.6240)\\y=7800.40\)

Therefore, the equation is \(y = 12500 (0.91)^x\) and the value of car is $7800.40.

The second statement is -

A baseball card brought for $50 increases 3% in value each year.

The value for base is a = $50.

The value for rate is 3% = 0.03

Since, the price is increasing the value for b is b = (1 + 0.03)

The exponential function is -

\(y = 50 (1+0.03)^x\)

\(y = 50 (1.03)^x\)

The value of baseball card after 5 years can be obtained by substituting x = 5.

\(y = 50 (1.03)^5\\y = 50 (1.1592)\\y =57.96\)

Therefore, the equation is \(y = 50 (1.03)^x\)and the value of baseball card is $57.96.

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Answer:

60

Step-by-step explanation:

Multiplication Table Multiplication as Comparison

3 × 1 = 3 3 is one time as many as 3 and 3 times as many as one

3 × 2 = 6 6 is two times as many as 3 and 3 times as many as two

3 × 3 = 9 3 is three times as many as 3

3 × 4 = 12 12 is four times as many as 3 and 3 times as many as four

3 × 5 = 15 15 is five times as many as 3 and 3 times as many as five

3 × 6 = 18 18 is six times as many as 3 and 3 times as many as six

3 × 7 = 21 21 is seven times as many as 3 and 3 times as many as seven

3 × 8 = 24 24 is eight times as many as 3 and 3 times as many as eight

3 × 9 = 27 27 is nine times as many as 3 and 3 times as many as nine

3 × 10 = 30 30 is ten times as many as 3 and 3 times as many as ten

3 x 11 = 33 33 is eleven times as many as 3 and 3 times as many as eleven

3 x 12 = 36 36 is twelve times as many as 3 and 3 times as many as twelve

3 x 13 = 39 39 is thirteen times as many as 3 and 3 times as many as thirteen

3 x 14 = 42 42 is fourteen times as many as 3 and 3 times as many as fourteen

3 x 15 = 45 45 is fifteen times as many as 3 and 3 times as many as fifteen

3 x 16 = 48 48 is sixteen times as many as 3 and 3 times as many as sixteen

3 x 17 = 51 51 is seventeen times as many as 3 and 3 times as many seventeen

3 x 18 = 54 54 is eighteen times as many as 3 and 3 times as many as eighteen

3 x 19 = 57 57 is nineteen times as many as 3 and 3 times as many as nineteen

3 x 20 = 60 60 is twenty times as many as 3 and 3 times as many as twenty

The inferential statistics would employ the probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime.

The inferential statistics are calculated by using analytical tools such as test-statistic values, degree of freedom, sample size, and the rejection criteria(assumption or hypothesis).

Thus, the given information is about predicting the miles. So, according to the probability theory, it needs a sample of data about 2000 Toyota Celica.

Hence, it falls under the inferential branch of statistics. So, option C is correct.

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime?

A. Predictive statistics

B. Descriptive statistics

C. Inferential statistics

D. Differential statistics

The solution is,  U={ keys on a keyboard}, could describe U .

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Here, we have,

S is a subset of U,

so all of the elements of S must be also elements of U

If U was {letters}, 4, 9, ? would not belong there

If U was {numbers }, x, y, ? would not belong to U

If U was {punctuation marks }, 4, 9, x, y would not be in U

all the elements of S are in U={ keys on a keyboard}

Answer:  U={ keys on a keyboard}, could describe U.

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It would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

Dennis' reasoning is incorrect.

To determine the rate of picking apples per minute, Dennis correctly divided the total number of apples (24) by the time it took (6 minutes), resulting in 4 apples per minute. However, his approach to calculating the number of apples that could be picked in 8 minutes is flawed.

Dennis multiplied the rate of picking apples per minute (4 apples) by the given time (8 minutes), assuming that the rate remains constant. This approach would be valid if the rate of picking apples per minute were constant, but in this scenario, it is not necessarily the case.

The rate of picking apples could vary depending on factors such as fatigue, efficiency, or other variables. Therefore, it is not accurate to assume that the rate of picking apples per minute remains the same over a longer duration of time.

To determine the number of apples that could be picked in 8 minutes, it would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

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Answer:

I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y

Step-by-step explanation:

Solve by simplifying both sides of the equation, then isolating the variable.

Answer:

r^6

4d^3

Step-by-step explanation:

.............

Answer:

133.5

An easy way of doing this is to ignore the decimal so consider it as 89 instead because 0 is insignificant. So do 89x15 = 1335 we know that 8.90 has 1 decimal place because 0 is not significant so you just add 1 decimal place which becomes 133.5

Answer:

56.52 km

Step-by-step explanation:

circumference of circle =2πr or dπ

d×π=18×3.14=56.52 km

hope this helps

plzz mark me brainliest

56.52 km is the circumference of the circle.

The given figure is a circle with diameter 18km. The formula for calculating the circumference is expressed as:

C = 2πr

radius = diameter/2

radius = 18km/2

radius = 9km

Substitute to have:

C = 2(3.14)(9)

C = 56.52 km

Hence the circumference of the circle is 56.52 km

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Answer:

\(m=\frac{17}{37}\)

Step-by-step explanation:

When given two coordinates, you must use this formula to find the slope of a line:

\(m= \frac{y_{2} - y_{1}}{x_{2}-x{1}}\)

where m is your slope.

So, plug in your coordinates. Remember, a coordinate is denoted by (x,y). So, for example, your \(x_{1}\) would be -18 and your \(x_{2}\) would be 19.

\(m =\frac{4--13}{19--18}\)

\(m =\frac{17}{37}\)

And that would be your slope. (Answer choice D.)

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

Here, we are going to use elimination since all the variables are in the corresponding position.

Solve:

Given

\(\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.\)

Multiply the first equation in order to eliminate [x]

\(\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.\)

Subtract the second equation from the first equation to eliminate [x]

\(14y-y=-12+18\)

\(13y=6\)

Divide 13 on both sides

\(13y/13=6/13\)

\(\boxed{y=\frac{6}{13} }\)

Substitute [y] value in order to get [x] value

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

\(\boxed{x=\frac{60}{13} }\)

Hope this helps!! :)

Please let me know if you have any questions

In the context of measurement, accuracy and precision refer to two related but distinct concepts. Accuracy is the degree to which a measurement is close to the true value of what is being measured, while precision is the degree to which repeated measurements of the same quantity are close to each other.

The uncertainty of a measurement refers to the degree of doubt or lack of confidence in the result obtained from a measuring instrument. It is typically represented by an interval around the measured value that indicates the range within which the true value is likely to lie.

The accuracy of a measuring device is related to its ability to provide measurements that are close to the true value. If a measuring device is highly accurate, then its measurements will be close to the true value, and the uncertainty associated with those measurements will be relatively small. On the other hand, if a measuring device is not very accurate, then its measurements may be far from the true value, and the uncertainty associated with those measurements will be relatively large.

The precision of a measuring device is related to its ability to provide measurements that are close to each other when measuring the same quantity repeatedly. A measuring device that is highly precise will give measurements that are very close to each other, and the uncertainty associated with those measurements will be relatively small. Conversely, a measuring device that is not very precise will give measurements that are far apart, and the uncertainty associated with those measurements will be relatively large.

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The two inequalities that represent given situation:

w + c ≤ 32

w < 11

In this question we have been given Johanna will plant up to 32 acres on her farm with wheat and corn. Fewer than 11 acres will be planted with wheat.

We need to identify two inequalities that represent this situation.

Let w represents the number of acres of wheat and c represent the number of acres of corn.

Johanna will plant up to 32 acres on her farm with wheat and corn:

w + c ≤ 32

Fewer than 11 acres will be planted with wheat:

w < 11

Therefore, the two inequalities that represent given situation:

w + c ≤ 32

w < 11

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The coordinates of the point that corresponds to -π/3 on the unit circle are (x, y) = (1/2, √3/2)

A unit circle is a circle in which the value of the radius is equal to 1 unit.

The coordinates of a point with angle Ф on a unit circle are given by

To find the coordinates of the point that corresponds to -π/3 on the unit circle, since we have the coordinates of a point on a unit circle as

substituting Ф = -π/3 into both equations, we have that the x - coordinate is

Also, we have that the y - coordinate is

So, the coordinates of the point are (x, y) = (1/2, √3/2)

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