Plzzz helppppppp meee

The solution is, it represents a vertical translation, and value is (d)  k = 8.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.

When looking at the graph we can discard 2 of the options, these are rotation (as they are parallel, it is impossible to find a rotation axis) and reflection. We can observe that it occur a translation. To know what kind of translation happened, let's look at the y intercept of both lines.

For f(x) the y intercept is 0 and for g(x) the y intercept is -4, it means it occured a vertical translation down 4 units.

so, we have,

The value k in the equation ...

 g(x) = f(x) +k

represents a vertical translation by k units.

The vertex coordinates for f(x) and g(x) are ...

 f(x): vertex = (-3, -3)

 g(x): vertex = (-3, 5)

This means ...

 f(-3) = -3

 g(-3) = 5 = f(-3) +k = -3 +8  

⇒   k = 8

Hence, The solution is, it represents a vertical translation, and value is (d)  k = 8.

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The function that models the given situation is; f(x) = 109(0.935)^(t) + 72

We are given that;

Temperature of hot tea = 181°F

Room temperature = 72°F

Rate of the hot tea cooling on a desk in the room = 6.5% every minute

We know that an exponential function is of the form of;

y = A(r)^(x)

where;

A is the initial value.

r is the rate of increase/decrease in decimals.

Thus, our initial value is;

A = 181 - 72 = 109

The rate of increase/decrease in decimals = 1 - (6.5%) = 0.935

Since the room temperature is 72 degrees Fahrenheit, then the function is;

f(x) = 109(0.935)^(t) + 72

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Answer:

1 ticket would be $4.25

5 tickets would be $21.25

Step-by-step explanation:

Hope that help, mind if a get a brainliest now?

Answer:

4.25 for 1 ticket, 21.25 for 5

Step-by-step explanation:

12.75 divided by 3 = 4.25 x 5 = 21.25

Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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The probability of drawing a club and then a diamond with replacement is 1/16.

First, let's calculate the probability of drawing a club. There are 13 clubs in a standard 52-card deck, so the probability of drawing a club is 13/52, or 1/4.

Next, let's calculate the probability of drawing a diamond with replacement. Since we are replacing the first card, there are still 52 cards in the deck, and 13 of them are diamonds. So the probability of drawing a diamond is also 13/52, or 1/4.

To find the probability of both events happening, we multiply the probabilities together:

1/4 * 1/4 = 1/16

Therefore, the probability of drawing a club and then a diamond with replacement is 1/16.

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Answer:

-3n + 18

Step-by-step explanation:

an = dn + (a - d)

The difference is -3.

The first term is 15.

an = -3n + (15- (-3))

an = -3n + 15 + 3

an = -3n + 18

Answer:

aₙ= 18 -3n

Step-by-step explanation:

15, 12, 9, 6

Given AP with first term= 15 and common difference= -3

aₙ=a₁+(n-1)d= 15+(n-1)*(-3)= 15 - 3n+3= 18-3n

aₙ= 18 -3n

The mean (µx) and standard deviation (σx) of a sample can be determined using the given parameters of the population mean (µ), population standard deviation (σ), and sample size (n).

In this case, since we are given the population mean (µ = 84), the mean of the sample (µx) will be the same as the population mean.

µx = 84 (same as the population mean)

σx = 18 / √36 = 3 (the population standard deviation divided by the square root of the sample size)

To determine the standard deviation of the sample (σx), we divide the population standard deviation (σ = 18) by the square root of the sample size (n = 36). This is based on the principle that the standard deviation of the sample is expected to be smaller than the standard deviation of the population, and it decreases as the sample size increases.

Therefore, in this scenario, the mean of the sample (µx) is 84, and the standard deviation of the sample (σx) is 3. These values represent the central tendency and variability of the sample data.

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Answer:

17,100

Step-by-step explanation:

A light bulb consumes 3600 watts per day

Therefore the number of watts consumed in 4 days 18 hours can be calculated as follows

3600= 24 hours

x= 1 hour

= 3600/24

= 150 watts in an hour

3600×4

= 14,400

150×18

= 2,700

Total watts

= 14,400+2700

= 17,100

Hence the number if watss produced in 4 days 18 hours is 17,100 watts

Answer:

42

Step-by-step explanation:

alternate exterior angles are equal. Therefore 32 = y - 10. Solving for y:

y - 10 = 32

y = 32+10

y = 42.

The angles are x is 35° and y is 17° when the angles on protractor ∠QUT=74°, ∠RUS=22° and ∠QUS=57°.

Given that,

The angles are given ∠QUT=74°, ∠RUS=22° and ∠QUS=57°.

We have to find the angles.

An angle is formed when two straight lines or rays meet at a single terminal. The vertex of an angle is the point at which two points converge. ​The name "angle" comes from the Latin word "angulus," which meaning "corner." ​

The ∠QUS = ∠QUR + ∠RUS

57°=x+22°

x=57°-22°

x=35°

Now, ∠QUT = ∠QUR + ∠RUS + ∠SUT

74°=35°+22°+y
y=74-35-22

y=17°

Therefore, The angles are x is 35° and y is 17° when the angles are given ∠QUT=74°, ∠RUS=22° and ∠QUS=57°.

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The only statements that is false is A. I only: 1. We use one-sample procedures when our samples are equal in size but aren't independent.

A one-sample procedure is used when we want to compare a sample mean to a known population mean or when we want to estimate a population mean using a sample mean. In a one-sample procedure, the sample is selected independently and is typically assumed to be random. So, independence of the sample is a requirement for one-sample procedure.

While statement II and III are true.

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Answer:

Scalene

Step-by-step explanation:

All sides are not the same so it is considered scalene.

Classifications:

Scalene = no sides and angles are the same to others

Equilateral = All sides and angles are congruent

Isosceles = 2 sides and 2 angles are congruent.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Scalene

Step-by-step explanation:

Isosceles=two sides are equal

Scalene=all sides are different

Equilateral=all three sides are equal

Answer:

C

Step-by-step explanation:

Answer:

d. legs

Step-by-step explanation:

In the Pythagorean Theorem (a^2 + b^2 = c^2)

a = leg

b = leg

c= hypotenuse

Comparison or relational operations, such as <, >, =, allow for comparing numbers. They determine if a number is less than, greater than, equal to, or not equal to another number, enabling decision-making and comparisons within arithmetic and programming operations.

When comparing numbers, you can use various relational operators to determine the relationship between them. Here are the commonly used comparison operators:

Less than (<): This operator compares two numbers and returns true if the first number is smaller than the second number. For example, 5 < 10 is true.

Greater than (>): This operator compares two numbers and returns true if the first number is larger than the second number. For example, 10 > 5 is true.

Less than or equal to (<=): This operator compares two numbers and returns true if the first number is smaller than or equal to the second number. For example, 5 <= 5 is true.

Greater than or equal to (>=): This operator compares two numbers and returns true if the first number is larger than or equal to the second number. For example, 10 >= 10 is true.

Equal to (==): This operator compares two numbers and returns true if they are equal. For example, 5 == 5 is true.

Not equal to (!=): This operator compares two numbers and returns true if they are not equal. For example, 5 != 10 is true.

These comparison operators allow you to compare numbers and make decisions based on their relationships within arithmetic or programming operations.

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Answer:

  9.2 units

Step-by-step explanation:

You want to know the distance between the two points (8,−4) and (−1,−2).

The distance between points (x1, y1) and (x2, y2) can be found using the distance formula.

  \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using the given point coordinates, we find the distance to be ...

  \(d=\sqrt{(-1-8)^2+(-2-(-4))^2}=\sqrt{(-9)^2+2^2}=\sqrt{85}\)

A calculator tells you this value is about 9.22.

The distance is about 9.2 units.

Answer:

y = -3

5y - 4 = 9y + 8

5(-3) - 4 = 9(-3) + 8

-19 = -19

Answer:

y = -3

Step-by-step explanation:

Step 1 - Subtract 5y from both sides of the equation:

5y - 4 - 5y = 9y + 8 - 5y

-4 = 4y + 8

Step 2 - Subtract 8 from both sides of the equation:

-4 - 8 = 4y + 8 - 8

-12 = 4y

Step 3 - swap the equation:

4y = -12

Step 4 - divide both sides of the equation by 4:

\(\frac{4y}{4} = \frac{-12}{4}\)

y = -3

Hope this helps!

The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer:

518

Step-by-step explanation:

solution:

=8^2^×1^+1+6^2^×1^-1

=8^3+6^1

=8^3+6

=8×8×8+6

=512+6

=518

Just after her payment at the 2 1/2 year mark, Maria will owe approximately $7,722.63 on her loan.

To calculate the amount Maria will owe just after her payment at the 2 1/2 year mark, we need to determine the remaining balance on her loan.

First, we convert the loan duration to months:

2 1/2 years = 2.5 * 12 = 30 months.

Next, we use the formula for the remaining balance on a loan:

Remaining balance = Principal * (1 + monthly interest rate)^remaining months - Monthly payment * [(1 + monthly interest rate)^remaining months - 1] / monthly interest rate.

Principal = $10,000

Monthly interest rate = 7.8% / 12 = 0.065

Remaining months = 48 - 30 = 18

Plugging in the values, we have:

Remaining balance = $10,000 * (1 + 0.065)^18 - $243.19 * [(1 + 0.065)^18 - 1] / 0.065

Calculating this expression step by step:

Remaining balance = $10,000 * (1.065)^18 - $243.19 * [(1.065)^18 - 1] / 0.065

≈ $7,722.63

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You should have started the building on the opposite ray; you started it on the incorrect ray. It divides R into two parts

Draw an arc across both of the angle's rays beginning at the vertex.Draw a new set of intersecting arcs from each pair of existing arcs.The angle bisector is created by drawing a line from the vertex to the intersection.

A line that bisects or splits an angle into two equal halves is called an angle bisector. If the angle's measurement is known, all we would need to construct an angle bisector geometrically is a ruler, pencil, compass, and protractor. An angle bisector can cut any angle in half.Make an arc that touches both sides. Place the cursor where the arc meets the horizontal side. On the inside of the angle, make a second arc mark.

The correct answer is option d)You started the construction the wrong ray, you should have started on the other.

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The rate of change of angle of elevation between the radar station and airplane is

                       \(\displaystyle \frac{-10}{109} \left(\frac{rad}{min}\right)\)

The airplane is flying at the speed of 200 mph

The airplane is at an altitude of 3 miles over the radar station

The distance travelled by the airplane after 3 mins

      distance = speed x time

                     = 200 mi/hr x 3 min

Since the speed is hour let us convert it to mins

                     = 200 x 3 x 1/60

                     = 600 / 60

                    = 10 miles

So , let us assume that the airplane is exactly at the top of the radar station at an altitude of 3 miles

Then the elevation angle of the between radar station and airplane can be find by

                              tan θ = O / A
where O is the opposite side to the angle of elevation

          A is the adjacent side to the angle of elevation.

But we need the find the rate of change of angle of elevation , so let us differentiate on both side with respect to time

                                \(\displaystyle sec^{2}\theta\frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{A^{2}}\)

                                        \(\displaystyle \frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{sec^{2}\theta A^{2}}\)

                                       \(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{sec^{2}(10)^{2}}\)

The altitude is gonna be a constant , thus the derivative of altitude will be zero whereas , the the distance travelled by airplane is changing with respect to time.

                                   \(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{\frac{109}{100}(10)^{2}}\)

We had found the value of sec²θ = (hyp/adj)²

                                    \(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \frac{rad}{hr}\)

Now , let us convert in terms of rad/min

                                   \(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \left(\frac{1}{60}\right)\)

                                  \(\displaystyle \frac{d\theta}{dt} = \frac{-10}{109} \left(\frac{rad}{min}\right)\)    

Therefore , the rate of change of angle of elevation is -10/109 (rad/min)    

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Answer: The two functions are

f(x) = sqrt(64x^2+64)

g(x) = -sqrt(64x^2+64)

Graphing these together forms a hyperbola

To get these two functions, we need to solve for y

y^2 - 64x^2 = 64

y^2 = 64x^2 + 64

y = sqrt(64x^2 + 64) or y = -sqrt(64x^2 + 64)

The last line is similar to how x^2 = 9 has two solutions (x = plus or minus 3)

Answer:

150.88

Step-by-step explanation:

just gotta fine the area for each square using the formula base times height with a good old calculator and add them all together, hopefully that's correct

Answer:

33.3%

Step-by-step explanation:

If all of them are equal out of 100%

that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad R(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 +x}{2}~~~ ,~~~ \cfrac{ -4 +y}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE Q} }{(-5~~,~~1)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ -2 +x }{2}=-5\implies -2+x=-10\implies \boxed{x=-8} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ -4 +y }{2}=1\implies -4+y=2\implies \boxed{y=6}\)

Answer:

The answer is (-8,6)

\((-a+3)(a+4)=-a^2-a+12\).

Hope this helps.

Answer:

-a²-a+12

Step-by-step explanation:

-a²+3a-4a+12

-a²-a+12

The potential energy of the 10-kg object is 294 joules.

Variation is a mathematical term that shows the relationship between two or more parameters or quantities in an equation.

Analysis:

let potential energy be = P

let mass be = m

let height be = h

P ∝ mh

P = kmh

when P = 784, m = 40kg, h = 2 meters

784 = k x 40 x 2

k = 9.8

P = 9.8mh

when m = 10kg, h = 3 meters

P = 9.8 x 10 x 3 = 294 joules.

In conclusion, the potential energy of the object at 3 meter height is 294 joules.

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To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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