Find the product of 2 and 3 and then take that from 8

Answer:

5.00 + 0.25p

Step-by-step explanation:

Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

Answer:

48 mph.

Step-by-step explanation:

You need to calculate the average. So,

42 + 54 = 96

Because there are two quantities, 42 and 54, divide 96 by 2.

The average speed is 48.

\(u = (1, 0, 2, −1), v = (0, 2, −1, 1), u, v = -1\) and d(u, v) = 3√2, which are the values of u, v, u, v and d(u, v)..

Given the inner product defined on Rn is given by;

u = (1, 0, 2, −1), v = (0, 2, −1, 1), u, v = u · v

To find the values of u, v, u, v and d(u, v) we use the following;

\(u = (u1, u2, u3, ...., un) v = (v1, v2, v3, ...., vn)d(u, v) = √⟨u − v, u − v⟩\)

We can determine u and v as follows;

u = (1, 0, 2, −1), v = (0, 2, −1, 1)u1 = 1, u2 = 0, u3 = 2, u4 = -1v1 = 0, v2 = 2, v3 = -1, v4 = 1

Then u.

v is given by;

\(u . v = u1v1 + u2v2 + u3v3 + u4v4= (1)(0) + (0)(2) + (2)(-1) + (-1)(1)= -1\)

Now we can find d(u, v) as follows;

\(d(u, v) = √⟨u − v, u − v⟩= √⟨(1, 0, 2, −1) - (0, 2, −1, 1), (1, 0, 2, −1) - (0, 2, −1, 1)⟩\)

= \(√⟨(1, -2, 3, -2), (1, -2, 3, -2)⟩\)

= \(√(1^2 + (-2)^2 + 3^2 + (-2)^2)\)

= \(√(1 + 4 + 9 + 4)= √18 = 3√2\)

Therefore;

u = (1, 0, 2, −1), v = (0, 2, −1, 1), u, v = -1 and d(u, v) = 3√2, which are the values of u, v, u, v and d(u, v)..

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Answer:

Need kolang points

Step-by-step explanation:

Sorry pow

Using the ratio we know that before the weekend started, she could have won as many as 164 games.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.

A proportion is an equation that sets two ratios at the same value.

For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

So, let n be the number of victories so that:

n/2n = 1/2 and n+3/2n+4 > 503/1000

Now, cross multiply as follows:

1000n + 3000 > 1006n + 2012

n < 988/6 = 164 4/6 = 164 2/3

Therefore, using the ratio we know that before the weekend started, she could have won as many as 164 games.

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Answer:

x = -5

Step-by-step explanation:

x + y = 5 can be also written as 3x + 3y = 15 by times 3 on both side, let it be equation (1), then let 2x + 3y = 20 be equation (2), then use equation (2) - (1), can get (2x - 3x) + (3y - 3y) = 20 - 15 ---> -x = 5, then x = -5.

The probability of being hospitalized during a certain year is 0.16. We need to find the probability that no one in a family of seven will be hospitalized that year.

To find the probability that no one in a family of seven will be hospitalized, we need to calculate the probability of each individual not being hospitalized and then multiply them together. Since the probability of being hospitalized is 0.16, the probability of not being hospitalized is 1 - 0.16 = 0.84.

For each family member, the probability of not being hospitalized is 0.84. Since we have seven family members, we multiply this probability seven times:

0.84 * 0.84 * 0.84 * 0.84 * 0.84 * 0.84 * 0.84 = 0.3217.

Therefore, the probability that no one in a family of seven will be hospitalized that year is approximately 0.3217, or 32.17%.

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Answer:

7 seconds

Step-by-step explanation:

You would get 49 from doing -784 divided by -16 then you do the square root of 49 which is 7

ANSWER= 7 seconds

The time taken by the pebble to hit the ground will be = 7 seconds

Expression we get when operations such as addition , subtraction , multiplication , division , are operated upon on variable and constants.

Equation of height as a function of time = h(t) = - 16 (t^2)

cliff is at a height of = 784 feet

comparing both the above equation , we get

-16 (t^2) = 784

t^2 = 49

t = 7 seconds

The time taken by the pebble to hit the ground will be = 7 seconds

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Given:

Height of access ramp = 6 foot

Ramp ends at a point 40 feet away along the ground.

To find:

The angle of depression in nearest tenth of a degree.

Solution:

Using the given information, draw a figure as shown below.

In a right angle triangle,

\(\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\)

In triangle ABC,

\(\tan \theta=\dfrac{AB}{BC}\)

\(\tan \theta=\dfrac{6}{40}\)

\(\tan \theta=0.15\)

Taking tan inverse on both sides.

\(\theta=\tan^{-1}(0.15)\)

\(\theta=8.5307656\)

\(\theta \approx 8.5\)

Therefore, the angle of depression is 8.5 degrees.

To use the splitpts function in Matlab, you will first need to define two sets of points with different arrays for each set. Then, you can use the syntax newSetOfPoints = splitpts(originalSetOfPoints) to split the original set of points into two new sets.

The "splitpts" function in MATLAB is used to split a set of points into two sets based on a specified split point. Here are the steps to use this function:

1. Define the set of points you want to split. For example:
```
points = [1 2 3 4 5 6 7 8 9 10];
```

2. Specify the split point. This can be any number between the minimum and maximum values of the set of points. For example:
```
splitPoint = 5;
```

3. Use the "splitpts" function to split the set of points into two sets. The first set will contain all the points less than or equal to the split point, and the second set will contain all the points greater than the split point. For example:
```
[set1, set2] = splitpts(points, splitPoint);
```

4. The resulting sets will be stored in the variables "set1" and "set2". You can display these sets using the "disp" function:
```
disp(set1);
disp(set2);
```

The output will be:
```
1 2 3 4 5
6 7 8 9 10
```

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Using Lagrange multipliers, the problem involves minimizing the function f(x, y) = x on the curve \(9y^2x^4 - x^3 = 0\). By setting up the necessary equations and solving them, we can find the values of x, y, and λ that satisfy the conditions and correspond to the minimum point on the curve.

The method of Lagrange multipliers is a technique used to find the minimum or maximum of a function subject to one or more constraints. In this case, we want to minimize the function f(x, y) = x while satisfying the constraint given by the curve equation \(9y^2x^4 - x^3 = 0\)

To apply Lagrange multipliers, we set up the following equations:

∇f(x, y) = λ∇g(x, y), where ∇f(x, y) is the gradient of f(x, y), ∇g(x, y) is the gradient of the constraint function g(x, y) = \(9y^2x^4 -x^3\), and λ is the Lagrange multiplier.

g(x, y) = 0, which represents the constraint equation.

By solving these equations simultaneously, we can find the values of x, y, and λ that satisfy the conditions. These values will correspond to the minimum point on the curve.

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Answer: ---

Step-by-step explanation:

Divide the hight of the stack by 8, multiply that by 12, you should have your answer

The line of least-squares fit for the given data points is y = (-7/6)x + 59/18.The line of least-squares fit for the given data points (-2, 7), (2, 2), and (4, 0) can be determined by finding the equation of the line that minimizes the sum of the squared differences between the actual data points and the predicted values.

The line of least-squares fit is obtained by minimizing the sum of the squared vertical distances between the actual data points and the predicted values on the line. To find the equation of this line, we can use the formula for the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
First, we calculate the slope (m) using the formula m = (nΣ(xy) - ΣxΣy) / (nΣ(x^2) - (Σx)^2), where n is the number of data points, Σ represents the sum, x and y are the coordinates of the data points, and xy and x^2 represent their respective products.
Using the given data points, we calculate Σx = 4, Σy = 9, Σxy = -14, Σ(x^2) = 24, and n = 3. Substituting these values into the formula, we find the slope m = -14/12 = -7/6.
Next, we can determine the y-intercept (b) using the formula b = (Σy - mΣx) / n. Substituting the values into the formula, we get b = (9 - (-7/6)(4)) / 3 = 59/18.
Therefore, the equation of the line of least-squares fit for the given data points (-2, 7), (2, 2), and (4, 0) is y = (-7/6)x + 59/18. This equation represents the line that best fits the given data points in terms of minimizing the sum of the squared differences between the actual data and the predicted values on the line.

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With a TI-84 Plus calculator, the shaded areas beneath the standard normal curve are (a) 0.705, (b) 0.976, (c) 0.01, and (d) 0.09.

We must determine the region beneath the normal distribution curve.

a) region of the standard normal curve outside of the range between z = − 1.98 and z = 0.61.

= P (-1.98 < z < 0.61)

= P (z < 0.61) - P ( z < - 1.98)

= 0.729 - 0.024

= 0.705

= 70.5 %

b) region to the left of the standard normal curve under z = 1.98

= P ( z < 1.98)

= 0.976

= 97.6%

c) region to the right of the standard normal curve under z = 2.34

P (z > 2.34)

= 1 - P (z < 2.34)

= 1 - 0.990

= 0.01

= 1 %

d) space between the standard normal curve's upper and lower bounds z = -0.94 and z = -0.63

= P ( -0.94 < z < -0.63)

= P (z < -0.63) - P (z < -0.94)

= 0.264 - 0.174

= 0.09

= 9%

The complete question is:

Using the TI-84 calculator, find the area under the standard normal curve. Round the answers to four decimal places.(a) Find the area under the standard normal curve that lies outside the interval between z= −1.98 and z=0.61.(b) Find the area under the standard normal curve to the left of z=1.98.(c) Find the area under the standard normal curve to the right of z= 2.34.(d) Find the area under the standard normal curve that lies between z= −0.94 and z= −0.63.

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After 4 years, with a semi-annual compounding frequency, the investment of $3500 at an annual interest rate of 3.6% will grow to approximately $4047.47.

a) The value of the investment after 4 years, compounded semi-annually, can be calculated using the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the future value of the investment

P = the principal amount (initial investment)

r = the annual interest rate (expressed as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $3500, the annual interest rate (r) is 3.6% or 0.036 as a decimal, the number of times interest is compounded per year (n) is 2 (semi-annually), and the number of years (t) is 4.

Using these values in the formula, we can calculate the future value (A):

A = 3500(1 + 0.036/2)^(2*4)

A ≈ 3500(1 + 0.018)^(8)

A ≈ 3500(1.018)^(8)

A ≈ 3500(1.156424812)

A ≈ 4047.47

Therefore, the value of the investment after 4 years, compounded semi-annually, is approximately $4047.47.

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Answer:

Like terms

Step-by-step explanation:

Are the terms that contain same variables, same exponents of variables and same coefficients.

HOPE THIS HELPS

Explanation:

In the LS column, you'll have these steps

3x - 1

3*4 - 1

12 - 1

11

Effectively, we replaced x with 4 and then simplified using PEMDAS.

And in the RS column, you'll have these steps

x + 7

4 + 7

11

We get the same thing at the bottom of each column. This shows that we end up with 11 = 11 after simplifying both sides. Therefore, we've confirmed that x = 4 is the solution to 3x - 1 = x + 7

Answer:

4c - 2

Step-by-step explanation:

Add up all the terms to find the perimeter.

2c + 2(c - 1)

2c + 2c - 2

4c - 2

Therefore, the perimeter is 4c - 2.

The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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Answer:

21

Step-by-step explanation:

5 * (4*5+1)/5

= 5 * 21 / 5

= 21

Hope it will help

Answer:

A) z

Step-by-step explanation:

(8z - 10) ÷ (-2) + 5(z - 1)

1. Rewrite:

 \(\large \textsf{$\dfrac{(8x-10)}{-2}+5(z-1)$}\)

2. Distribute 5

\(\large \textsf{$5(z-1)$}\\\\\large \textsf{$5(z)+5(-1)$}\\\\\large \textsf{$5z-5$}\)

Now we have:

\(\large \textsf{$\dfrac{(8x-10)}{-2}+\large \textsf{$5z-5$}$}\)

3. Reduce the fraction:

\(\large \textsf{$\dfrac{(8x-10)}{-2}+\large \textsf{$5z-5$}$}\\\\\large \textsf{$-4x+5+5z-5$}\)

4. Combine like terms:

\(\large \textsf{$-4x+5+5z-5$}=\large \textsf{z}\)

Final answer: z

Hope this helps!

We have proved that in modulo 5, it is not possible for a perfect square to be congruent to 2 or 3.

In modular arithmetic, we consider the remainder of a number when it is divided by a certain positive integer. For example, in modulo 5 arithmetic, we only consider the remainders of numbers when they are divided by 5. The possible remainders are 0, 1, 2, 3, or 4.

To prove that in modulo 5, it is not possible for a perfect square to be congruent to 2 or 3, we can use proof by contradiction. We assume that there exists some perfect square n^2 such that n^2 ≡ 2 (mod 5) or n^2 ≡ 3 (mod 5).

If n^2 ≡ 2 (mod 5), then n^2 - 2 ≡ 0 (mod 5). We can factor this as (n+√2)(n-√2) ≡ 0 (mod 5). However, since the integers mod 5 form a field, which is an integral domain and all nonzero elements have inverses, if either factor was zero, then the other would have to be a unit, and we would have a contradiction, as neither n+√2 nor n-√2 have integer solutions.

Similarly, if n^2 ≡ 3 (mod 5), then n^2 - 3 ≡ 0 (mod 5), which can be factored as (n+√3)(n-√3) ≡ 0 (mod 5). Again, if either factor was zero, the other would have to be a unit, and we would have a contradiction, as neither n+√3 nor n-√3 have integer solutions.

Hence, we have proved that in modulo 5, it is not possible for a perfect square to be congruent to 2 or 3.

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The tip of the minute hand moves in a circle of radius exists 6 in. In 25 minutes, the tip of the minute hand moves 15.7 in

The arc length of a circle can be estimated with the radius and central angle utilizing the arc length formula, Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ exists in degree.

The tip of the minute hand moves in a circle of radius R = 6in.

We will find that for each case, 15 minutes and 25 minutes, the distance traveled is 9.42 in and 15.7 in correspondingly.

Remember that the length of an arc is defined by an angle θ in a circle of radius R is given by:

L = (θ/360°) × 2 × pi × R

We know that R = 6in.

To find how much the tip of the minute hand moves in 15 minutes.

Then we need to find the angle θ that the tip moves in these 15 minutes.

Remember that a complete rotation in the clock has 60 minutes.

This means that there exists an equivalence:

60 min = 360°

1 = (360°/60 min)

15 min = (15 min) × (360°/60 min) = 90°

Then, in 15 minutes, the tip of the minute hand moves:

L = (90°/360°) × 2 × 3.14 × 6in = 9.42 in

For the case of 25 minutes the procedure is the same:

25 min = (25 min) × (360°/60 min) = 150°

Then, in 25 minutes, the tip of the minute hand moves:

L = (150°/360°) × 2 × 3.14 × 6in = 15.7 in

Therefore, the correct answer is 15.7 in.

The complete question is:

The minute hand of a clock is 6 inches long. how far does the tip of the minute hand move in 15 minutes? how far does it move in 25 minutes? round answers to two decimal places.

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Answer:

Step-by-step explanation:

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is \(180^{o}\).

In the given question, point P is center of the given triangle such that <APB = <APC = <BPC = \(120^{o}\). Such that line PB bisects <ABC into two equal measures of \(30^{o}\).

Thus;

<ABP = \(30^{o}\)

Thus,

<ABP + <APB + <BAP = \(180^{o}\)

30 + 120 + <BAP = \(180^{o}\)

<BAP = \(180^{o}\) - 150

<BAP = \(30^{o}\)

Apply the Sine rule to determine the value of PB, such that;

\(\frac{a}{SinA}\) = \(\frac{b}{SinB}\)

\(\frac{8}{Sin 30}\) = \(\frac{PB}{Sin 30}\)

BP = \(\frac{8*Sin 30}{Sin 30}\)

    = 8

BP = 8.0

Therefore, the value of PB = 8 units.

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Answer:

Complex and imaginary number

Step-by-step explanation:

First, let's write the number\(-16.2i\) in the form of \(a+bi\).

\(0+ (-17)i\)

Since \(-16.2i\) can be written in the form of \(a + bi\), where \(a\) and \(b\) are real numbers, it is a complex number.

Also, since \(a=0\), it is also an imaginary number.

\(-16.2i\) is complex and imaginary.