Select the correct answer

Taylor wants to purchase a car with an auto loan. He can get a 48-month loan from his bank that is compounded monthly at an annual

interest rate of 7. 9%.

Suppose Taylor needs to obtain a loan for $19,076 to purchase the car.

Use the formula for the sum of a finite geometric series to determine Taylor's approximate monthly payment.

P= F p (i)

—————-

1-(1+i) -n

Answer:

-14

Step-by-step explanation:

CD= -56

C=4

D= CD/C

= -56/4

= -14

Hello there!

cd=-56.

We are given that

c=4

We can plug it into the equation instead of c:

4d=-56

Now we must divide both sides by 4 in order to isolate d:

d=-14

Remember that whatever we do to one side, we do to the other.

Hope it helps! :)

\(GraceRosalia\)

The measure of the larger angle is obtained as follows:

70º

Two angles are defined as complementary is the sum of their measures is of 90º.

The variables that represent each angle in this problem are given as follows:

x and y.

They are complementary angles, hence:

x + y = 90.

The difference between four times the measure of the smaller angle and the measure of the larger angle is 10, hence:

4y - x = 10.

x = 4y - 10.

Hence the value of y is obtained as follows:

4y - 10 + y = 90

5y = 100

y = 100/5

y = 20º.

Hence the measure of the larger angle is given as follows:

x + 20 = 90

x = 70º.

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Answer:

90 kg m/s

Step-by-step explanation:

The equation for momentum is

p= mass x velocity

so our velocity is 3 thats is given

the mass must be calculated by adding 25  and 5

this adds to 30

30 x 3 = 90

The graph of a certain geometric sequence can be described as a curve increasing from left to right. A sequence that would have a similar graph is the geometric sequence whose common ratio is less than 1.

A geometric sequence is defined as a sequence of numbers where each number is the product of the previous number and a fixed constant. The fixed constant is known as the common ratio, and it is denoted by r.The nth term of a geometric sequence is given by the formula an= ar^(n-1) where a is the first term and r is the common ratio of the sequence.

Similar graphIn a similar graph, the shape of the graph is the same, but the size may be different. Thus, the sequence that would have a similar graph to the given sequence is a geometric sequence whose common ratio is less than 1 because in such a sequence, the successive terms will be smaller than the previous term.This means that as we move from left to right, the values will gradually decrease in size, and the graph will look like a curve increasing from left to right.

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Comparing  with the estimated change in cost using differentials (dc = 7.5 dollars), we can see that the estimate is significantly larger than the actual change in cost.

We can use the differential of the function to approximate the change in cost (C) corresponding to an increase in sales (or production) of one unit (dx). The differential of the function C = 0.075x² + 6x + 7 is given by:

dC = (d/dx) (0.075x² + 6x + 7) dx

dC = (0.15x + 6) dx

At x = 10 dollars (which represents the initial sales or production level), we have:

dC = (0.15*10 + 6) dx = 7.5 dx

Therefore, an increase in sales or production of one unit (dx = 1) would lead to an approximate increase in cost of:

dc ≈ dC = 7.5 dollars

To find the actual change in cost (AC), we can calculate the cost at x = 11 dollars and subtract the cost at x = 10 dollars. This gives:

C(11) - C(10) = (0.07511² + 611 + 7) - (0.07510² + 610 + 7)

C(11) - C(10) ≈ 21.85 - 19.25 = 2.60 dollars

Comparing this with the estimated change in cost using differentials (dc = 7.5 dollars), we can see that the estimate is significantly larger than the actual change in cost. This is because the differential approximation assumes that the function is changing linearly at x = 10, whereas the actual function may be changing at a different rate.

However, the differential approximation can still provide a useful estimate of the change in cost for small changes in sales or production levels.

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In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Answer:

second option is the answer

obtuse angle means the angle is larger than 90 degrees

A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.

A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.

The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.

The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.

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In case-control studies, the indirect measure of association between frequency of exposure and frequency of outcome is known as the odds ratio.'

The answer to your question is odds ratio. In case-control studies, odds ratio is used as an indirect measure of the association between frequency of exposure and frequency of outcome. It compares the odds of exposure in cases to the odds of exposure in controls, and provides an estimate of the strength of the association between exposure and outcome. While other measures such as population risk difference and attributable risk may also be calculated in case-control studies, odds ratio is the most commonly used measure of association.

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The equation y = 24/x is an inverse variation.

The equation y = 24/x shows an inverse variation between y and x.In mathematics, direct variation is a relationship between two variables where one variable is proportional to the other variable. That is, when one variable increases, the other variable also increases in proportion to the first variable. Direct variation is expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables being compared.Inverse variation, on the other hand, is a relationship between two variables where one variable decreases in proportion to the other variable as the other variable increases. Inverse variation is expressed mathematically as y = k/x, where k is the constant of proportionality and x and y are the variables being compared.Joint variation, also known as combined variation, is a relationship between three or more variables where one variable is directly proportional to one or more variables and inversely proportional to one or more other variables. Joint variation is expressed mathematically as y = kxz, where k is the constant of proportionality and x, y, and z are the variables being compared.Based on the given equation, y = 24/x, it is clear that y is inversely proportional to x. This is because as x increases, y decreases in proportion to the increase in x. Similarly, as x decreases, y increases in proportion to the decrease in x.

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(Y/4) +3 = 7

Subtract 3 from both sides:

Y/4 = 4

Multiply both sides by 4

Y = 16

Answer:

Option D

Step-by-step explanation:

=> (y/4)+3 = 7

Subtracting 3 from both sides

=> y/4 = 7-3

=> y/4 = 4

Multiplying 4 to both sides

=> y = 4*4

=> y = 16

Answer:

Cubic

Step-by-step explanation:

Answer:

cube

Step-by-step explanation:

Answer:

answer is A

hope it helps

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2    slope of line

y = m x + b standard form of straight line

y = 2 x + b      where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4    from our first equation

Also, b = 10 - 6 = 4       check from second equation

y = 2 x + 4    is our equation

Check if y = 6 and x = 1 then

y = 2 * 1  + 4 = 6   verifying the first point given

sin I=opposite/hypothesis

sin I=√57/10

sin I=0.754983

=0.75

Answer:

See below

Step-by-step explanation:

Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:

\(2x+10=0\\2x=-10\\x=-5\)

\(x-7=0\\x=7\)

Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:

\((2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0\)

\((2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0\)

Perimeter:

3+3+2+3+10+3+3+6+2+3=38

Perimeter is 38

Area:

Shape a: 3*3=9

Shape b: 3*5=15

Shape c: 10*3=30

30+15+9=54

Area is 54

Step-by-step explanation:

The perimeter of a shape is all the outside measurements of its sides rogether. So, add all the sides.

\(3 + 3 + 2 + 3 + 3 + 3+ 10 + 3 + 3 + 6 \\ = 39\)

So 39 is your perimeter.

As for the area, you could do this in many ways since this shape can be cut up into all sorts of smaller shapes, but I'm assuming you mean surface area. To get that, take the area of all the shapes there are in this one and then add them all together. I added an attachment of the areas I'm going to take. I separated the shape into three different ones.

These are all rectangles, and the area for a rectangle is lw.

So...

\(lw + lw + lw\)

^This will be the formula to use for the area. Keep in mind, these are all different areas separately, so you do not combine the like terms (as tempting as it may be).

Now just substitute: 3×3 3×5 3×10

\((3 \times 3) + (5 \times 3) + (10 \times 3) \\ 9 + 15 + 30 \\ 54\)

So 54 is your area.

Answers:

\(39cm\)

\(54{cm}^{2} \)

Answer:

1.4

Step-by-step explanation:

you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms

Answer:

1.4

Step-by-step explanation:

Answer:

4 hour of her day

Step-by-step explanation:

Answer:

1/4x-7/4

Step-by-step explanation:

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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Answer:

C) x=0 and x=5

(a) The rule for the function is = -280/11 + 187.27, (b) Julia is 409.09 miles west of Denver after having driven for 16 hours, (c) Julia cannot have a negative amount of time, (d) the rule is = 11/280 - 187.27/280 and (e) to construct a graph for , plot the two points (0.25, 170) and (3, 100) and draw a line between them

a) The rule for the function can be determined by finding the slope of the line between the two points (0.25, 170) and (3, 100). The slope is (100-170)/(3-0.25) = -280/11.

Therefore, the rule for the function is = -280/11 + b. To find b, plug in one of the points: 170 = -280/11(0.25) + b. Solving for b gives b = 187.27. Therefore, the rule for the function is = -280/11 + 187.27.

b) The meaning of (16) is Julia's position east from Denver after having driven for 16 hours. To find its value, plug in 16 for in the rule: (16) = -280/11(16) + 187.27 = -409.09. Therefore, Julia is 409.09 miles west of Denver after having driven for 16 hours.

c) The meaning of (-141) is Julia's position east from Denver before she started driving, which does not exist because she cannot have a negative amount of time.

d) To determine a rule, we need to find the inverse of the function. The inverse of a function is found by switching the and variables and solving. So, the inverse = -280/11 + 187.27 becomes = -280/11 + 187.27. Solving it gives = ( + 187.27)/(280/11) = 11/280 - 187.27/280. Therefore, the rule for is = 11/280 - 187.27/280.

e) To construct a graph, the two points (0.25, 170) and (3, 100) and draw a line between them. The slope of the line is -280/11 and the y-intercept is 187.27.

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Consider vertical strips as shown below, and let dx be their width, where x runs from 0 to 1.

Consider the shaded region to the left. (a) Find its area using vertical slices. (b) Find its area using horizontal slices. The shaded region is made up of two curved edges and two straight edges, which implies that it's necessary to break it up into pieces that can be integrated, either horizontally or vertically, to find the area. The two vertical lines' function is y = 4x^2 and y = 2x.

Then, to calculate the area using vertical slices, we'll break it down into an infinite number of rectangles and add up their areas.The horizontal lines are x = 0 and x = 1. We'll break it down into an infinite number of rectangles and add up their areas to calculate the area using horizontal slices.(a) Vertical Slices:Consider vertical strips as shown below, and let dx be their width, where x runs from 0 to 1.

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A circle can be defined as a geometric shape consisting of all points in a plane that are equidistant from a given point, which is known as the center. The distance between the center of the circle and any point on the circle is referred to as the radius.

In order to find the center and radius of a circle, we need to have three points on the circle's circumference, and then we can use algebraic formulas to solve for the center and radius. Let's look at the given problem to find the center and radius of the circle that passes through the points (-1,5), (5,-3), and (6,4).

Center of the circle can be determined using the formula:

(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)

Let's plug in the values of the given points and simplify:

(x,y)=(−(−1)−5−6/3,−5+3+4/3)=(2,2/3)

Next, we need to find the radius of the circle. We can use the distance formula to find the distance between any of the three given points and the center of the circle:

Distance between (-1,5) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(2+1)2+(2/3−5)2=√10.111

Distance between (5,-3) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(5−2)2+(−3−2/3)2=√42.222

Distance between (6,4) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(6−2)2+(4−2/3)2=√33.361

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24

34

22i

-34

yup your welcome

Answer: The most likely reasoning for Adnan's belief is (C) Art, music, and writing require creativity and outside-the-box thinking, whereas math does not.

This answer choice suggests that Adnan believes that his job as a creative writing teacher is similar to the job of an art or music teacher because they all involve fostering creativity and encouraging students to think creatively. In contrast, Adnan believes that the job of a math teacher does not require this type of creative thinking.

The other answer choices do not provide a strong rationale for Adnan's belief. While it is true that art, music, and writing can be taught in a way that is open-ended and allows for creative interpretation, this is not necessarily the main reason why Adnan believes his job is similar to those of art and music teachers. Similarly, while it is true that some students may choose to enroll in art, music, or writing classes out of passion, this is not necessarily the main reason why Adnan believes his job is different from that of a math teacher. The requirements for becoming an art, music, or writing teacher may also be less strict, but this is not necessarily the main reason why Adnan believes his job is different from that of a math teacher.

I hope this helps! Let me know if you have any other questions.

The spring is stretched by 0.8 cm beyond its natural length, rounded to one decimal place.

Given that a work of 63 is needed to stretch a spring from its natural length of 30 cm to a length of 40 cm.

(a) To find out how much work is needed to stretch the spring from 34 cm to 38 cm, we have to apply the concept of work done by spring, which is given as below:

Work Done by Spring= (1/2)k(x^2 - x₁²)

where k is the spring constant, x is the final stretched length, and x₁ is the initial length.

We can find the spring constant using the formula as below:

k = (F/x)where F is the applied force and x is the change in length.

Using the above formulas, we can get the solution as follows:

Given that, x₁ = 34 cm, x = 38 cm.

So, x - x₁ = 38 - 34 = 4 cm.k = (F/x) ⇒ 10 = F/4 ⇒ F = 40 N.

Now, k = (F/x) = (40/4) = 10 N/cm.

Now, Work done by spring = (1/2)k(x^2 - x₁²)

⇒ Work done by spring = (1/2) × 10 × (38^2 - 34^2)

⇒ Work done by spring = 0.96 Joule

Therefore, the work needed to stretch the spring from 34 cm to 38 cm is 0.96 Joule, rounded to two decimal places.(b) To find out how far beyond its natural length will a force of 10 N keep the spring stretched, we can apply the following formula as:

W = (1/2)kx²where W is the work done on the spring and x is the distance the spring is stretched beyond its natural length.So, x = √(2W/k)

where W = 10 N, k = 10 N/cm.

Using the above formula, we can get the solution as follows:x = √[(2×10)/10] = √2 = 1.41 cm

Now, the spring is stretched by 1.41 - 0.3 = 1.11 cm beyond its natural length.

Therefore, the spring is stretched by 0.8 cm beyond its natural length, rounded to one decimal place.

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Answer:39.7

Step-by-step explanation:DUDE chilll I got you the answer is