Brainliest? Does the table represent a function? Why or why not? Plz put ABC or D

Answer:B

Step-by-step explanation:

Answer:

x = \(\frac{2}{3}\)

Step-by-step explanation:

Given

\(\sqrt{8x}\) = \(\sqrt{4+2x}\) ( square both sides )

8x = 4 + 2x ( subtract 2x from both sides )

6x = 4 ( divide both sides by 6 )

x = \(\frac{4}{6}\) = \(\frac{2}{3}\)

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Answer:

2(3x - 1)(x - 1)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

e2021

Domain, x-intercepts and all possible lengths of the tomato patch are the features of Melissa's garden that match the given descriptions. Let us understand how. In Melissa’s garden, the domain is the set of all possible values of the length of the tomato patch.

Domain, x-intercepts and all possible lengths of the tomato patch are the features of Melissa's garden that match the given descriptions. Let us understand how. In Melissa’s garden, the domain is the set of all possible values of the length of the tomato patch. It represents the range of the function, i.e., the set of all possible values of the area of the tomato patch when the length of the bell pepper patch is 0. The x-intercepts are the values of the length of the tomato patch at which the area of the bell pepper patch is 0. This represents the possible lengths of the tomato patch when the area of the bell pepper patch is 0.

Thus, x-intercepts correspond to all possible lengths of the tomato patch in the context of Melissa’s garden. In conclusion, the features that match the given descriptions in Melissa's garden are domain, x-intercepts and all possible lengths of the tomato patch. The domain represents the set of all possible values of the length of the tomato patch, while the x-intercepts correspond to the values of the length of the tomato patch at which the area of the bell pepper patch is 0.

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The probability that the answerof the 1st question is correct is 1/15.

So, the probability of the correct answer:

Probability formula: P = Favourable events/Total events

Where total events are 15 and favorable event is 1.

Now calculate as follows:

Therefore, the probability that the answerof the 1st question is correct is 1/15.

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Answer:95

Step-by-step explanation:

This can simply be answered by adding the first digit of both numbers which would be 9 then add the secound number of both  numbers and that would be 5

The answer is 95

Answer:

if its 6^2 + 3^3 then its 63

Step-by-step explanation:

6^2 simplified is 36 and 3^3

6 x 6 = 36 + 27 = 63

                                        3 x 3 x 3 =27

                                        3 x 3= 9

                                        9 x 3= 27

663.

i found out what 35% of 1020 is and then subtracted that by 1020.

The total electric potential at point a is the sum of the electric potentials due to q1 and q2 is 0, the total electric potential at point b is the sum of the electric potentials due to q1 and q2 is 84.5 and the work done on q3 by the electric forces exerted by q1 and q2 is -0.42 J.

The electric potential at point a due to q1 and q2 can be calculated using the formula for electric potential due to a point charge,

V=kq/r, where k=9×10^9 N.

m²/C² is the Coulomb constant,

q is the point charge,

and r is the distance from the point charge to the point where the potential is being measured.

Using this formula, the electric potential due to q1 at point a is:

V1=kq1/r1

where q1=+2.00μC is the charge on q1 and r1 is the distance from q1 to point a.

Since q1 is at one of the corners of the square and a is at the center, the distance r1 is half the length of the diagonal of the square:

r1=√(12+12)=0.75 cm

Substituting the values in the formula, we get:

V1 = 9×10^9×2.00×10^-6/0.75×10^-2V1

     = 240 V

The electric potential due to q2 at point a can be calculated similarly.

Since q2 is at the opposite corner of the square, the distance r2 is the length of a side of the square:

r2=1.50 cm

Substituting the values in the formula, we get:

V2 = 9×10^9×(-2.00)×10^-6/1.50×10^-2V2

     = -240 V

The total electric potential at point a is the sum of the electric potentials due to q1 and q2:

V = V1+V2V=240 - 240V

   = 0

Since point b is at the empty corner closest to q2, the electric potential at point b due to q2 is zero.

The electric potential at point b due to q1 can be calculated using the same formula we used for point a:

V1=kq1/r1

where q1=+2.00μC is the charge on q1 and r1 is the distance from q1 to point b.

Since q1 is at one of the corners of the square and b is at the opposite corner, the distance r1 is the length of a diagonal of the square:

r1=√(1.5²+1.5²)=2.12 cm

Substituting the values in the formula, we get:

V1 = 9×10^9×2.00×10^-6/2.12×10^-2V1

     = 84.5 V

The total electric potential at point b is the sum of the electric potentials due to q1 and q2:

V = V1+V2V

   = 84.5 + 0V

    = 84.5 V

The electric force exerted on a point charge by another point charge is given by Coulomb's law:

F=kq1q2/r²

where F is the force,

           q1 and q2 are the point charges,

           r is the distance between the charges,

           and k is the Coulomb constant.

Since q3 is negatively charged, it will experience a force in the direction opposite to the force experienced by a positive charge at the same location.

Thus, the total work done by the electric forces exerted by q1 and q2 on q3 can be calculated as the negative of the change in electric potential energy of q3 from point a to point b:

W=-ΔPE

where ΔPE is the change in potential energy of q3 from point a to point b.

Substituting the values, we get:

W=-q3(Vb - Va)

where q3=-5.00μC is the charge on q3,

           Va=0 is the electric potential at point a,

            and Vb=84.5 V is

the electric potential at point b:

W = -5.00×10^-6(84.5 - 0)W

   = -0.42 J

Therefore, the work done on q3 by the electric forces exerted by q1 and q2 is -0.42 J.

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Answer:72/97

Step-by-step explanation: took the test.

Answer:

324, 900, 9

Step-by-step explanation:

When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!

Onto the answer, just follow the advice above:

36 * 3^2 = 36 * 9 = 324 square inches,

36 * 5^2 = 36 * 25 = 900 square inches,

36 * 0.5^2 = 36 * 0.25 = 9 square inches.

Hope this helps :)

Answer: C) $100.85

Step-by-step explanation:

The total cost of Reka's health insurance = $3,800

Her employer pays = $3,800 x 0.31 = $1,178

Reka pays = $3,800 - $1,178 = $2,622

There are 52 weeks in a year, so the amount deducted is 52 / 2 = 26 times per year

Amount deducted per biweekly payment = $2,622 / 26 = $100.85

Answer:

A.

Step-by-step explanation:

As shown in the question we can interpret the following:

\(x_{1} = -2\\y_{1} = 1\\x_{2} = 5\\y_{2} = -4\)

Now all we have to do is plug these values into the equation, and so we find that A. is the correct answer.

Based on the information provided, the sample regression equation can be written as: the student can choose from 16 different combinations of activities.

Earnings = 10,625.6413 + 0.3731Cost + 174.0756Grad + 127.3845Debt

Therefore, the correct choice is:

Earnings = 10,625.6413 + 0.3731Cost + 174.0756Grad + 127.3845Debt

In this case, there are 8 activities in group A (swimming, canoeing, kayaking, snorkeling) and 2 activities in group B (archery, rappelling).

Therefore, the student can choose from 8 options in Group A and 2 options in Group B.

To find the total number of combinations, we multiply the number of options in each group:

Total combinations = Number of options in group A × Number of options in group B

Total combinations = 8 × 2

Total combinations = 16

Therefore, the student can choose from 16 different combinations of activities.

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Answer:

The angle of DGC is 90 degrees

the value of x is positive 8

Step-by-step explanation:

xoxo brooke

The amount of water that will fill the entire bin is 16/3 gallons.

Given: 1 over 8 gallon of water fills 2 over 3 of the bin.

Let's assume that the bin has a capacity of V gallons of water. Therefore, we need to find the amount of water that will fill the entire bin.

To write an equation, we know that: 1 over 8 gallon of water fills 2 over 3 of the bin.

Then, we can write the equation as: 1 over 8 V = 2 over 3V/8 = 2/3

Simplifying the above equation we get: V = (8 x 2) / (3 x 1) = 16 / 3 gallons

Hence, the amount of water that will fill the entire bin is 16/3 gallons.

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To maximize the likelihood function, we take the derivative with respect to θ and set it equal to zero: d/dθ[L(θ|X1,X2,...,Xn)]=−n/θ+(X1+X2+⋯+Xn)/θ2=0.

The MLE for θ in the exponential distribution is simply the sample mean of the observed data.

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson point process. X1,X2,...,XnX1,X2,...,Xn is a random sample of size n from this distribution, which means that each XiXi is an independent and identically distributed random variable with the same exponential distribution.

The probability density function (pdf) of the exponential distribution is given by f(x:θ)=(1/θ)e−x/θ, where θ is the scale parameter. This means that the probability of observing a value x from the distribution is proportional to e−x/θ, with the constant of proportionality being 1/θ.

To estimate the value of θ based on the observed data, we can use the method of maximum likelihood estimation (MLE). The likelihood function for the sample X1,X2,...,XnX1,X2,...,Xn is given by L(θ|X1,X2,...,Xn)=∏i=1n(1/θ)e−Xi/θ=(1/θ)n e−(X1+X2+⋯+Xn)/θ.

Solving for θ, we get θ=(X1+X2+⋯+Xn)/n, which is the sample mean.

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Answer:

60°

Step-by-step explanation:

The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,

40 + 80 = 120

180 - 120 = 60

The third angle of the triangle is 60°

A polygon with three angles, side, and vertices is called a triangle.

Given that, a triangle has angles that measure 40° and 80°.

We know that the sum of the interior angles of a triangle is 180°

Let the third angle be x,

40° + 80° + x = 180°

x = 180°-120°

x = 60°

Hence, the third angle of the triangle is 60°

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Here, we are required to use paper to draw Sara's construction. and determine what the points p, q and r define.

According to the question; the first circle Sara sketches has center at point, P and radius PQ.

The statement above means that the point Q is on the circumference of the first circle.

Afterwards, she draws a second circle with center at point Q and radius QP.

And lastly, she labels one point of intersection of both circles as R.

A representation of Sara's construction is attached as an image.

The points p, q and r define a triangle; An equilateral triangle to be specific as all 3 sides of the triangle are equal to the radius of either of the circles.

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The general rule in inequalities is that when we multiply or divide by a negative number the inequality is reversed.

So in the cases of a and d, since we multiply by a negative number, the inequality will reverse.

And in case b, we have a negative number but it is added (not division or multiplication) thus, in this case the inequality will preserve the symbol.

In case c, we divide by a positive number, thus, the inequality will preserve its symbol

Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.

Anders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.

To find out how much of each ingredient he uses, we can use the following steps:

1. Add the ratios together: 1 + 2 + 8 = 11

2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73

3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:

Sugar: 1 x 72.73 = 72.73g

Butter: 2 x 72.73 = 145.46g

Flour: 8 x 72.73 = 581.84g

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Answer:

\(t^2+1\)

Step-by-step explanation:

We are given that

Distance traveled by a toy car

\(D(t)=t^3-3t^2+t-3\)

Where t>3

Time taken by car =t-3 seconds

We have to find the expression which represents the speed of the toy car.

We know that

\(Speed=\frac{Distance}{time}\)

Using the formula

\(Speed=\frac{(t^3-3t^2+t-3)}{t-3}\)

\(Speed=\frac{t^2(t-3)+(t-3)}{t-3}\)

\(Speed=\frac{(t-3)(t^2+1)}{t-3}\)

\(Speed=t^2+1\)

Hence, the expression  which represents the speed of the toy car

\(t^2+1\)

The expression  that represents the speed of the toy car is \(t^2 + 1\).

Given that,

The distance traveled should be \(D(t) = t^3 - 3t^2 + t - 3\)

Here t>3

Time taken by car = t -3 seconds

Now the expression should be

\(Speed = Distance \div time\\\\= ( t^3 - 3t^2 + t - 3) \div (t - 3)\\\\= t^2(t - 3) + (t - 3) \div (t - 3)\\\\= (t - 3) (t^2 + 1) \div (t - 3)\\\\= t^2 + 1\)

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The solution of the system of equations:

2x - 3y = -12

y = (-5/3)x - 3

Is (-3, 2)

Here we have the following system of equations:

2x - 3y = -12

y = (-5/3)x - 3

To solve it graphically, we just need to graph the two lines and see where do they intersect. The graph of the system can be seen below.

We can see that the intersection is at the point (-3, 2), so that is the solution of the system.

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It depends on how b approaches 0

If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.

On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.

The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.

The function y(t) that satisfies the differential equation and the given initial conditions is equal to -1 plus 2 times e raised to the power of negative t.

To solve the given initial value problem using Laplace transform, we will follow these steps:

Step 1: Take the Laplace transform of the given differential equation.

Let's denote the Laplace transform of y(t) as Y(s). Using the properties of Laplace transform, we have:

s^2Y(s) - s + Y'(0) + sY(s) - y(0) + tY(s) = 0

Note that Y'(0) represents the initial condition of the first derivative, and y(0) represents the initial condition of y(t).

Simplifying the equation, we get:

(s^2 + s)Y(s) - s + 1 = 0

Step 2: Solve for Y(s).

Factoring out the common term, we have:

s(s + 1)Y(s) - s + 1 = 0

Dividing both sides by s(s + 1), we get:

Y(s) = (s - 1) / (s(s + 1))

Step 3: Inverse Laplace transform to find y(t).

Using partial fraction decomposition, we can write Y(s) as:

Y(s) = A/s + B/(s + 1)

Multiplying both sides by s(s + 1), we get:

s - 1 = A(s + 1) + Bs

Expanding and collecting like terms, we have:

(s - 1) = (A + B)s + A

Comparing the coefficients of s on both sides, we get:

A + B = 1

Comparing the constant terms on both sides, we get:

A = -1

Substituting the value of A into the first equation, we get:

-1 + B = 1
B = 2

So, the partial fraction decomposition of Y(s) is:

Y(s) = -1/s + 2/(s + 1)

Taking the inverse Laplace transform, we have:

y(t) = -1 + 2e^(-t)

Step 4: Write the conclusion.

The solution to the given initial value problem using Laplace transform is:

y(t) = -1 + 2e^(-t)

This means that the function y(t) that satisfies the differential equation and the given initial conditions is equal to -1 plus 2 times e raised to the power of negative t.

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Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

6.1). the rate of depreciation, r, is approximately 10.77%.

6.2.1). Ncominkosi's monthly installment amount was approximately R 10,505.29.

6.2.2).  Ncominkosi borrowed approximately R 377,510.83 from the bank.

6.1) Let's assume the original price of the laptop is P. According to the reducing balance method, the value of the laptop after 4 years can be calculated as P * (1 - r/100)^4. We are given that this value is 31% of the original price, so we can write the equation as P * (1 - r/100)^4 = 0.31P.

Simplifying the equation, we get (1 - r/100)^4 = 0.31. Taking the fourth root on both sides, we have 1 - r/100 = ∛0.31.

Solving for r, we find r/100 = 1 - ∛0.31. Multiplying both sides by 100, we get r = 100 - 100∛0.31.

Therefore, the rate of depreciation, r, is approximately 10.77%.

6.2.1) To determine the monthly installment amount, we can use the formula for calculating the monthly payment on a loan with compound interest. The formula is as follows:

\(P = \frac{r(PV)}{1-(1+r)^{-n}}\)

Where:

P = Monthly payment

PV = Loan principal amount

r = Monthly interest rate

n = Total number of monthly payments

Let's calculate the monthly installment amount for Ncominkosi's loan:

Loan amount = Total amount paid to the bank - Interest

Loan amount = R 596,458.10 - R 0 (No interest is deducted from the total paid amount since it is the total amount paid)

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 9.5% / 12 = 0.0079167 (rounded to 7 decimal places)

Number of monthly payments = 6 years * 12 months/year = 72 months

Using the formula mentioned above:

\(P = \frac{0.0079167(Loan Amount}{1-(1+0.0079167)^{-72}}\)

Substituting the values:

\(P = \frac{0.0079167(596458.10}{1-(1+0.0079167)^{-72}}\)

Calculating the value:

P≈R10,505.29

Therefore, Ncominkosi's monthly installment amount was approximately R 10,505.29.

6.2.2) To determine the amount of money Ncominkosi borrowed from the bank, we can subtract the interest from the total amount he paid to the bank.

Total amount paid to the bank: R 596,458.10

Since the total amount paid includes both the loan principal and the interest, and we need to find the loan principal amount, we can subtract the interest from the total amount.

Since the interest rate is compounded monthly, we can use the compound interest formula to calculate the interest:

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

Where:

A = Total amount paid

P = Loan principal amount

r = Annual interest rate

n = Number of compounding periods per year

t = Number of years

We can rearrange the formula to solve for the loan principal:

\(P=\frac{A}{(1+r/n)(n*t)}\)

Substituting the values:

Loan principal (P) = \(\frac{596458.10}{(1+0.095/12)(12*6)}\)

Calculating the value:

Loan principal (P) ≈ R 377,510.83

Therefore, Ncominkosi borrowed approximately R 377,510.83 from the bank.

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The total amount of the game after tax is $206.15. Then the amount of tax will be $16.15.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The new game framework that Kim needs costs $190 before the charge. The expense rate is 8.5%.

Let 'x' be the total cost of the game after sales tax. Then the equation is given as,

x = $190 × (1 + 8.5%)

Simplify the expression, then we have

x = $190 × (1 + 8.5%)

x = $190 × (1 +0.085)

x = $190 × (1.085)

x = $206.15

Then the amount of tax is given as,

Tax = $206.15 - $190

Tax = $16.15

The aggregate sum of the game after the charge is $206.15. Then how much duty will be $16.15.

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Answer:Type of Number Example

Prime Number P=2,3,5,7,11,13,17,…

Composite Number 4,6,8,9,10,12,...

Whole Numbers W=0,1,2,3,4,…

Integers Z=…,−3,−2,−1,0,1,2,3,…

Step-by-step explanation: