HELP ME ASAP NOW I NEED THIS DONE

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

yes, 12² + 13² = (\(\sqrt{313}\))²

144 + 169 = 313

313 = 313

The amount paid back when the loan is paid in full at the end of that period will be $77,546.3.

Given that:

Principal, P = $35,000

Rate, r = 7.5% or 0.075

Time, n = 11 years

The amount (A) is calculated as,

A = P(1 + r)ⁿ

If the loan is paid in full at the end of that period, then the amount paid back is calculated as,

A = $35,000 x (1 + 0.075)¹¹

A = $35,000 x (1.075)¹¹

A = $35,000 x 2.2156

A = $77,546.3

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The arc length of the graph of the function x = 1/3(y^2 + 2)^(3/2) over the interval 0 ≤ y ≤ 7 is approximately 94.81 units.

To find the arc length, we can use the formula for arc length of a curve given by the integral of √(1 + (dx/dy)^2) dy. In this case, the derivative of x with respect to y is (1/3)(y^2 + 2)^(1/2)(2y), which simplifies to (2/3)y(y^2 + 2)^(1/2).

Substituting this into the formula, we have:

∫[0,7] √[1 + ((2/3)y(y^2 + 2)^(1/2))^2] dy.

Simplifying the expression inside the square root and integrating, we find the arc length to be approximately 94.81 units.

To find the arc length of the graph of a function over a given interval, we use the formula for arc length: L = ∫[a,b] √[1 + (dx/dy)^2] dy, where a and b represent the limits of the interval and dx/dy is the derivative of x with respect to y.

In this case, we are given the function x = 1/3(y^2 + 2)^(3/2) and the interval 0 ≤ y ≤ 7. To compute the derivative dx/dy, we apply the chain rule. Taking the derivative of the outer function, we get (3/2)(y^2 + 2)^(1/2)(2y) and multiplying it by the derivative of the inner function, which is 1. Simplifying further, we obtain (2/3)y(y^2 + 2)^(1/2).

Substituting the derivative into the arc length formula, we have L = ∫[0,7] √[1 + ((2/3)y(y^2 + 2)^(1/2))^2] dy. Now, we need to simplify the expression inside the square root before integrating. Squaring the derivative and adding 1 gives us 1 + (4/9)y^2(y^2 + 2). Simplifying this further, we have 1 + (4/9)(y^4 + 2y^2).

Taking the square root of this expression and integrating with respect to y over the given interval, we find the arc length to be approximately 94.81 units.

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The form of the equation y − 2 = 58(x + 16) is the (b) Point Slope Form

From the question, we have the equation to be

y − 2 = 58(x + 16)

The above equation is a linear equation

A  linear equation can be represented in three forms:

When the above forms are compared to y − 2 = 58(x + 16), we have the form to be y − Y = 58(x - X)

Hence, the equation is in its Point Slope Form

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Answer:

SSS

Step-by-step explanation:

Since \(\overline{AD} \cong \overline{AD}\) by the reflexive property, there are three pairs of congruent sides.

Answer:

[3, ∞]

Step-by-step explanation:

we can say with 95% confidence that the proportion of all consumers who prefer to purchase domestic automobiles is between 0.354 and 0.446.

To develop a 95% confidence interval for the proportion of all consumers who prefer to purchase domestic automobiles, we can use the formula:

CI = p ± z*(√(p*(1-p)/n))

where:

p = proportion of consumers who prefer domestic automobiles = 240/600 = 0.4
n = sample size = 600
z = z-score for 95% confidence level = 1.96

Plugging in the values, we get:

CI = 0.4 ± 1.96*(√(0.4*(1-0.4)/600))
  = 0.4 ± 0.046
  = (0.354, 0.446)

Therefore, we can say with 95% confidence that the proportion of all consumers who prefer to purchase domestic automobiles is between 0.354 and 0.446.

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Using Simple Speed formula,

To travel the distance of 75m with an airplane will need five gallons of fuel .

We have given that,

An airplane, fuel burn speed = 3 gallons of fuel per hour

ground speed of airplane = 45mph

distance = 75m

Speed = distance /time = 45 mph

=> 45 m distnce in one hour

fuel consumption of airplane = 3gallons/h

from above discussion we get,

fuel consumption for 45 m is equal to 3 gallons .

we have to calculate the quantity of fuel need to travel 75 m .

Now, 45 m distnce implies 3 gallons fuel consumption

1 m distance implies 3/45 gallons of fuel consumption

fuel consumption for 75 m =( 3/45)×75 = 5 gallons

Hence, 5 gallons fuel we need to travel 75 m .

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a is correct

Step-by-step explanation:

The value of c that satisfies the condition is c = 1/4.

To find the value of c, we need to determine the rate of change of f(x) at x = c and at x = 1 and set up an equation based on the given condition.

The given function is f(x) = x^(1/2).

To find the rate of change of f(x) at x = c, we take the derivative of the function with respect to x:

f'(x) = (1/2)x^(-1/2) = 1/(2√x)

Now, let's calculate the rate of change at x = c:

f'(c) = 1/(2√c)

Similarly, for x = 1:

f'(1) = 1/(2√1) = 1/2

According to the given condition, the rate of change of f at x = c is twice its rate of change at x = 1. Mathematically, this can be expressed as:

2 * f'(1) = f'(c)

2 * (1/2) = 1/(2√c)

1 = 1/(2√c)

To solve this equation, we can square both sides:

1 = 1/4c

4c = 1

c = 1/4

Therefore, the value of c that satisfies the condition is c = 1/4.

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all you have to do is times 14 x 4 = 56 then divide it by 2 which is 28

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\( \small{ \boxed{ \rm \color{green}{ {Area \: of \: Triangle \: = \frac{1}{2} ×Base×Height }}}}\)

\( \rm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: A = \frac{1}{2} Base × Height \\ \:\rm \: \: \: \: \: \: \: \: \: \: \: \: \: \: A = \frac{1}{2} × 14 × 4 \\ \: \: \: \: \: \: \: \: \rm A = \frac{1}{ \cancel{2}} × \cancel{ 56 } \\ \boxed{\rm \blue{ \: A = 28 \: }}\)

\( \: \)

The Area of the triangle is 28 !

\( \color{hotpink}{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps! :)

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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A graph of this equation y - 2 = -3/4(x - 6) is shown in the image attached below.

A graph can be defined as a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Next, we would rearrange and simplify the given given equation in slope-intercept form in order to enable us plot it on a graph:

y - 2 = -3/4(x - 6)

Opening the bracket, we have:

y - 2 = -3x/4 + 18/4

y = -3x/4 + 18/4 + 2

y = -3x/4 - 26/4

y = -3x/4 - 13/2

Therefore, the slope is equal to -3/4 and the y-intercept is equal to -13/2.

In conclusion, we can logically deduce that the graph representing the given linear equation does not show a proportional relationship between the value of x and y.

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The equation of the tangent line to the curve, after the calculations is, at (1, 1) is y = 7.741x - 6.741.

To find the equation of the tangent line to the curve at the point (1, 1), we need to differentiate the given equation with respect to x and then substitute the values x = 1 and y = 1.

The given equation is:

-28x² + 6.228y + y = -21

Differentiating both sides of the equation with respect to x, we get:

-56x + 6.228(dy/dx) + dy/dx = 0

Simplifying the equation, we have:

(6.228 + 1)(dy/dx) = 56x

7.228(dy/dx) = 56x

Now, substitute x = 1 and y = 1 into the equation:

7.228(dy/dx) = 56(1)

7.228(dy/dx) = 56

dy/dx = 56/7.228

dy/dx ≈ 7.741

The slope of the tangent line at (1, 1) is approximately 7.741.

To find the equation of the tangent line in the mx + b format, we have the slope (m = 7.741) and the point (1, 1).

Using the point-slope form of a linear equation, we have:

y - y₁ = m(x - x₁)

Substituting the values x₁ = 1, y₁ = 1, and m = 7.741, we get:

y - 1 = 7.741(x - 1)

Expanding the equation, we have:

y - 1 = 7.741x - 7.741

Rearranging the equation to the mx + b format, we get:

y = 7.741x - 7.741 + 1

y = 7.741x - 6.741

Therefore, the equation of the tangent line to the curve at (1, 1) is y = 7.741x - 6.741.

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Answer:

20

Step-by-step explanation:

nah it might be 21

Obviously its 21 pfff

The Shannon index value for an area in which only a single species is present is zero. This is because the Shannon index takes into account both species richness (the number of different species present) and evenness (the relative abundance of each species).

The Shannon Diversity Index (H') is used to measure the diversity of species in a given area and is calculated as H' = -Σ(pi)ln(pi), where pi is the proportion of individuals belonging to the i-th species. In an area where only a single species is present, pi would equal 1, meaning that there is no variation in species and only one species is observed.

Therefore, ln(pi) would be 0, and the entire summation would be equal to 0. As a result, the Shannon Diversity Index for an area with only one species would be 0, indicating no diversity in the community.

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Answer:

the value of x is 2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Given 3 parallel lines intersected by 2 transversals then the parallel lines divide the transversals proportionally, that is

\(\frac{3x}{4}\) = \(\frac{7.5}{2.5x}\) ( cross- multiply )

7.5x² = 30 ( divide both sides by 7.5 )

x² = 4 ( take the square root of both sides )

x = \(\sqrt{4}\) = 2

Using the soil textural triangle and the example soil density gradient, we can determine the soil type depicted by analyzing the relative proportions of sand, silt, and clay in the soil sample.

The soil textural triangle is a graphical representation of soil types based on their percentages of sand, silt, and clay. By locating the point where the percentages of sand, silt, and clay intersect, we can identify the soil type.

The soil density gradient provides information about the distribution of particle sizes within the soil profile. It describes how the percentage of different-sized particles changes with depth. However, the specific values of the density gradient are not provided in the question.

To accurately determine the soil type depicted, we would need the exact values of sand, silt, and clay percentages as well as the density gradient information. Without this information, it is not possible to provide a definitive answer regarding the soil type.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Answer:

481.92

Step-by-step explanation:

First find the increase

466.98 * 3.2%

466.98 * .032

14.94336

Add this to the original amount

466.98+14.94336

481.92336

Round to 2 decimal places

481.92

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

RATIO:

Comparing two quantities of the same units and determining the ratio tells us how much of one quantity is in the other.

i.e., it shows how many times a number contains another.

Total number of students = 150

ratio of boys to girls = 3 : 2

B:G = 3 : 2

now

3x + 2x = 150

5x = 150

x = 30

the number of boys = 3x = 3 X 30 = 90 boys.

the number of girls = 2x = 2 X 30 = 60 girls.

The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

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A sample point is a data point that is representative of the overall population. The design matrix is a matrix of data containing the independent variables that is used to model the dependent variable, typically in regression analysis.

Consider the sample points x1, x2, . . . , xn ∈ R d and associated values y1, y2, . . . , yn ∈ R, an n × d design matrix x can be formed by stacking the sample points horizontally to get each column as an n-length column vector containing the corresponding coordinate values. The d columns represent d dimensions of the data and the n rows represent the n observations of each dimension.

The design matrix x can be written as follows:x = [x1T; x2T; ... ; xnT], where xiT denotes the transpose of the column vector xi. This design matrix can be used to solve linear regression problems with the matrix equation y = Xβ + ε, where y is an n-length column vector containing the dependent variable, β is a d-length column vector of unknown regression coefficients, and ε is an n-length column vector containing the random error term.

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Answer:

La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:

(x - a)^2 + (x - b)^2 = R^2

Entonces si miramos a nuestra ecuación:

(x + 2)^2 + (y - 3)^2 = 121

Tendremos el centro en:

(-2, 3)

el radio está dado por:

R^2 = 121

R = √121 = 11

La gráfica de esta circunferencia se puede ver en la imagen de abajo.

Answer:

A. 20cm hope this helps

Step-by-step explanation:

The probability of James rolling a 1 on the red cube and a 1 on the blue cube is 1/36, or approximately 2.78%.

The probability that James rolls a 1 on the red cube and a 1 on the blue cube can be calculated using the formula P(A and B) = P(A) x P(B). In this case, the probability of rolling a 1 on the red cube (P(A)) is 1/6, and the probability of rolling a 1 on the blue cube (P(B)) is also 1/6. Multiplying these two probabilities together gives us \(P(A and B) = (1/6) x (1/6) = 1/36\). This means that the probability of James rolling a 1 on the red cube and a 1 on the blue cube is 1/36, or approximately 2.78%.

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