Anumeha is mowing lawns for a summer job. For every mowing job, she charges an initial fee of $10 plus a constant fee for each hour of work. Her fee for a 5-hour job, for instance, is $35.
Let y represent Anumeha's fee (in dollars) for a single job that took x hours for her to complete.
Complete the equation for the relationship between the fee and the number of hours.

Answer:

5 (7 + 8)

Step-by-step explanation:

Use distributive property:

5*7=35

5*8=40

Answer:

6

Step-by-step explanation:

7237 x 2 is 47

It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.

Confidence Interval;

In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.

Therefore,

The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0

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Answer: 3x + 36

14 + 12x

Answer:

3x+36, 14+12x

Step-by-step explanation:

3(x+12)

3x+3×12

3x+6

2(7+6x)

2×7+2×6x

14+2×6x

14+12x

Triangle ABC was reflected over the y axis and then translated 2 units left to form triangle A'B'C'.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Triangle ABC was reflected over the y axis and then translated 2 units left to form triangle A'B'C'.

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Answer: translation 2 units to the right and reflection across the y-axis

Step-by-step explanation:

i took the test and got it correct, i also added a picture :)

Part a)In order to find the value of T such that there is no aliasing, let's calculate the Nyquist frequency using the formula: \($$f_{Nyquist}=\frac{1}{2T}$$\)

Here, the highest frequency present in the continuous time signal x(t) is 40π.So, the Nyquist frequency should be greater than 40π.

Hence,\($$f_{Nyquist}=\frac{1}{2T} > 40\pi$$Simplifying,$$T<\frac{1}{80\pi}$$\)

Therefore, T is less than 0.004. Thus, the value of T should be less than 0.004 to avoid aliasing.

Part b)Let us assume that the frequency components have been aliased. Then, the value of T can be any value that gives the same aliased discrete time signal as the given x(n) signal.

The aliased frequencies can be calculated as follows:

\($$f_1= \frac{20}{2\pi} - k_1f_s$$$$f_2= \frac{40}{2\pi} - k_2f_s$$\)

Here, k1 and k2 are the number of times that the first and the second sinusoids have been aliased, respectively. fs is the sampling frequency and f1 and f2 are the true frequencies of the sinusoids.

After substitution and simplification, we get \($$k_1=3, f_s=10$$$$k_2=1, f_s=5$$\)

Thus, we get two possible values of \(T: $$T_1= \frac{1}{2f_s} = 0.05$$$$T_2= \frac{1}{3f_s} = 0.0333$$\)

Therefore, the value of T is not unique in this case.

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The numeric value of the function h(x) at x = 4 is given as follows:

8.7.

The quadratic regression equations for each table are given as follows:

To obtain the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value, and then apply the remaining calculations.

The function in this problem is defined as follows:

h(x) = 50/(5.5 + 8e^(-0.9x)).

The numeric value that we want to find is of:

h(4).

Hence the lone instance of x is replaced by 4, as follows:

h(4) = 50/(5.5 + 8e^(-0.9x4)) = 8.7.

The standard format of a quadratic regression equation is defined as follows:

y = Ax² + Bx + C.

Hence, for each table in this problem, all the points are inserted into a quadratic regression calculator, and then the values of the parameters A, B and C are given.

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The exact length of the curve is \([2(26^(^3^/^2) - 1)]/3.\)

To find the length of the curve described by the parametric equations x \(= 2 + 3t^2\) and \(y = 7 + 2t^3\), we need to use the formula:

length = ∫[a,b] √[dx/dt]² + [dy/dt]² dt

where [a,b] is the interval of t values and dx/dt and dy/dt are the derivatives of x and y with respect to t.

First, let's find the derivatives of x and y with respect to t:

dx/dt = 6t

dy/dt = 6t²

Next, we can plug these derivatives into the formula for length:

length = ∫[0,5] √(6t)² + (6t²)² dt

Simplifying under the square root:

length = ∫[0,5] √(36t² + 36t⁴) dt

Now we can factor out a 36t from under the square root:

length = ∫[0,5] √(36t²(1 + t²)) dt

Using the identity √(a² + b²) = a√(1 + (b/a)²), we can simplify:

length = ∫[0,5] 6t√(1 + t²) dt

Now we can use a u-substitution, letting u = 1 + t² and du/dt = 2t dt:

length = ∫[1,26] 3√u du

Taking the antiderivative:

\(length = [2(u^(^3^/^2))/3] from 1 to 26\)

Plugging in the limits:

length =\([2(26^(3^/^2) - 1^(^3^/^2))]/3\)

Simplifying:

length = \([2(26^(^3^/^2) - 1)]/3\)

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Answer:

5 19/20 miles

Answer:

900 ml of milk

Step-by-step explanation:

the scale is 1:1 so just multiply by 3

Answer:

just put out + from the question.

Answer:

The answer is C

Step-by-step explanation:

the volume equation is b*h*

the b= 2*8

the h= 3.

6 is the diagonal length of the side face which would be incorrect.

The answer would be 48. or C in the pic

Answer:

y-intercepts: (0,5)

x-intercepts: (5/2,0)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y

Answer:

\( - 22 {z}^{8} \)

The solution to the given differential equation with the given initial conditions is:

\(y(t) = e^(-10t)(-1/37cos(4t) + 10/37sin(4t)) + (1/37)cos(4t) - (2/37)sin(4t)\)

The given differential equation is y'' + 20y' + 50y = 5cos(4t), with initial conditions y(0) = 0 and y'(0) = 0.

To solve this equation, we will use the method of undetermined coefficients. First, we find the complementary solution by solving the characteristic equation:

\(s^2 + 20s + 50 = 0\)

Using the quadratic formula, we get two distinct complex roots: s = -10 + 4i and s = -10 - 4i.

Therefore, the complementary solution is given by:

\(y_c(t) = e^(-10t)(c1cos(4t) + c2sin(4t))\)

Next, we find the particular solution for the non-homogeneous term 5cos(4t) using the method of undetermined coefficients. Since the right-hand side is a cosine function, we assume the particular solution to be of the form:

\(y_p(t) = Acos(4t) + Bsin(4t)\)

Taking the derivatives, we have:

\(y_p'(t) = -4Asin(4t) + 4Bcos(4t)\)

\(y_p''(t) = -16Acos(4t) - 16Bsin(4t)\)

Substituting these into the differential equation, we get:

\((-16Acos(4t) - 16Bsin(4t)) + 20(-4Asin(4t) + 4Bcos(4t)) + 50(Acos(4t) + Bsin(4t)) = 5cos(4t)\)

Simplifying, we get:

(-16A + 80B + 50A)cos(4t) + (-16B - 80A + 50B)sin(4t) = 5cos(4t)

Equating the coefficients of like terms, we have:

-16A + 80B + 50A = 5

-16B - 80A + 50B = 0

Solving these equations simultaneously, we find A = 1/37 and B = -2/37.

Therefore, the particular solution is:

\(y_p(t) = (1/37)cos(4t) - (2/37)sin(4t)\)

The general solution is the sum of the complementary and particular solutions:

\(y(t) = y_c(t) + y_p(t)\)

\(= e^(-10t)(c1cos(4t) + c2sin(4t)) + (1/37)cos(4t) - (2/37)sin(4t)\)

Finally, we can use the initial conditions y(0) = 0 and y'(0) = 0 to determine the values of c1 and c2.

When t = 0, we have:

0 = c1 + (1/37)

0 = -10c1 + 4c2 - (2/37)

Solving these equations, we find c1 = -1/37 and c2 = 10/37.

Therefore, the solution to the given differential equation with the given initial conditions is:

\(y(t) = e^(-10t)(-1/37cos(4t) + 10/37sin(4t)) + (1/37)cos(4t) - (2/37)sin(4t)\)

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The value of the down payment for the car is $345.

From the information, Scott will purchase a new computer on an installment plan and the computer costs $2,300 and requires a 15% down payment.

The value of the down payment will be:

= Down payment percentage × Total cost

= 15% × $2300

= 0.15 × $2300

= $345

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Answer:

Table D is proportional

Step-by-step explanation:

the ratio of 2:1 is true throughout each coordinate pair.

Answer:

Table D

Step-by-step explanation:

Answer:

(3,2)

Step-by-step explanation:

Use the vertex form, y = a(x−h)²+k, to determine the values of a, h, and k.

a = 1

h = 3

k = 2

Find the vertex (h, k)

(3,2)

So, the vertex is (3,2)

The vertex point of the function f(x) = (x - 3)² + 2 is (3, 2) ⇒ answer B

Any quadratic function represented graphically by a parabola

∵ The function f(x) = (x - 3)² + 2

∵ The f(x) = a(x - h)² + k in the vertex form

∴ a = 1 , h = 3 , k = 2

∵ h , k are the coordinates of the vertex point

∴ The coordinates of the vertex point are (3, 2)

Hence, the vertex point of the function f(x) = (x - 3)² + 2 is (3, 2).

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Answer: -5x+2y

Step-by-step explanation: Have a brilliant day! - Lily ^_^

Answer:

12

Step-by-step explanation:

Multiply both sides by 4

Answer:

X=12

Hope it helps.

=====================================================

Explanation:

Multiply the given values. This is because,

total mass = (number of paperclips)*(mass per paperclip)

So,

(5.0 x 10^−4)(6.85 x 10^4)

(5.0 * 6.85) x (10^−4 * 10^4)

34.25 x 10^(-4+4)

34.25 x 10^0

(3.425 x 10^1) x 10^0

3.425 x 10^(1+0)

3.425 x 10^1

3.4 x 10^1

We round the first value to 2 sig figs because it is the smaller sig fig count of 5.0 and 6.85; the 0 in 5.0 is significant.

Notice how I rewrote 34.25 into 3.425 x 10^1. I did this to get the number in the form a x 10^b, where \(0 \le a < 10\), which fits scientific notation form.

The value 3.4 x 10^1 simplifies to 34. So an estimate of the total mass is about 34 mg. But we'll stick with scientific notation since your teacher instructed it.

Answer:

Step-by-step explanation:

According to sine law of trigonometric functions,

sin(α)/a =sin(β)/b

hence using this

sin(18)/y = sin(x)/2y

sin(x)=2*sin(18)

sin(x)=2*0.309

sin(x)= 0.618

x=sin-1(0.618)     ( sin-1  is sine inverse)

x=38.17 °

The probability that the number who prefer to purchase electronics online is at most 4 is 0.088.

The binomial probability formula is used to calculate the probability of a specific number of successful outcomes (in this case, the number of consumers who prefer to purchase electronics online) in a fixed number of trials (in this case, the total number of consumers selected, which is 16) with a fixed probability of success (in this case, the proportion of consumers who prefer to purchase electronics online, which is 0.38).

The formula is P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the number of successful outcomes, k is the specific number of successful outcomes we are calculating the probability for, n is the total number of trials, and p is the probability of success.

In this case we are trying to find the probability of getting 4 or less successful outcomes, that is X <= 4, so we need to sum the probability of getting 4,3,2,1 and 0 successful outcomes, which are P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0).

So, P(X <= 4) = (16 choose 4) * (0.38)⁴ * (0.62)¹² + (16 choose 3) * (0.38)³ * (0.62)¹³ + (16 choose 2) * (0.38)² * (0.62)¹⁴ + (16 choose 1) * (0.38)¹ * (0.62)¹⁵ + (16 choose 0) * (0.38)⁰ * (0.62)¹⁶ which is approximately equal to 0.088.

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The probability of at least one coin lands on heads and at least one coin lands on tails when you flip three fair coins is 7/8.

Let's explain why The possible outcomes when flipping three coins are 2 × 2 × 2 = 8 possible outcomes. This is because for each coin, there are two possible outcomes (heads or tails), so to get the total number of possible outcomes, we multiply these together:2 x 2 x 2 = 8Hence, the possible outcomes are {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.

So we have eight possible outcomes.

Now, let's determine the probability of getting at least one head and at least one tail. There are only two ways that this won't happen: either all three coins will be heads, or all three coins will be tails. So, the probability that we want is one minus the probability of these two outcomes.Let's find the probability that all three coins are heads: There's only one way this can happen (HHH), and the probability of getting heads on one flip is 1/2.

Therefore, the probability of all three coins being heads is:1/2 x 1/2 x 1/2 = 1/8Next, let's find the probability that all three coins are tails. Again, there's only one way this can happen (TTT), and the probability of getting tails on one flip is also 1/2. So, the probability of all three coins being tails is:1/2 x 1/2 x 1/2 = 1/8Thus, the probability of getting at least one head and at least one tail is:1 - 1/8 - 1/8=6/8=3/4=0.75

The probability of getting at least one head and at least one tail is 7/8.

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Answer:

3 and -2

Step-by-step explanation:

To get to -6, it has to be 3 and -2 because 3 x -2 = -6 and also 3 + (-2) = 1

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

it would be negative two and positive three

Step-by-step explanation:

-2+3=1 and -2×3=6

Answer:

can you show a picture or a more simplified version?

The ratio of the length and the width of the bigger rectangle, l:w = 6:5.

The ratio is the relational representation of two familiar quantities.

The ratio of two quantities a and b is written as a:b, read as "a is to b", and functions as a/b.

In the question, we are asked to determine the ratio l:w, given that each of the smaller rectangles is congruent to each other.

We assume the length of each smaller rectangle to be x, and its width to be w.

Now, from the diagram, we can say that 3x = 4y, as the length of the bigger rectangle is covered by 3 lengths of smaller rectangles or 4 widths of the smaller rectangles.

From this, we can say that x = (4/3)y.

Now, the length of the bigger rectangle l covers 3 lengths of the smaller rectangles.

So, we can say that l = 3x.

Also, the width of the bigger rectangle w covers 2 widths and 1 length of the smaller rectangles.

So, we can say that w = 2y + x.

Thus, the ratio l:w = l/w, can be written as:

3x/(2y + x).

Substituting x = (4/3)y, we get:

= 3(4/3)y/(2y + (4/3)y)

= 4y/((10/3)y)

= 12/10 = 6/5 = 6:5.

Thus, the ratio of the length and the width of the bigger rectangle, l:w = 6:5.

The provided question is inappropriate.

The correct question is:

"Ten boxes are packed tightly in a crate. From above, the packed crate looks like the attachment provided.

The visible faces of the boxes are all congruent rectangles (that means the ten small rectangles in the diagram are the same shape and size). The top of the crate is l inches long by w inches wide, where l ≥ w (as shown above). What is the ratio l:w in simplified form?"

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Answer:

1. 12,469

2. 5.2

3. I don't know sorry!

Step-by-step explanation:

1. Divide the diameter by 2 which gives you 63

So, A = πr2 = π·63^2 ≈ 12468.98

2. Looks like the bigger triangle is twice as big as the smaller circle

so, 2.6 x 2= 5.2

The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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