1) IQ scores tend to be fairly stable over time. This is because IQ tests have high: a) Validity b) Reliability c) Measurement error d) Cultural fairness 2) IQ scores correlate highly with academic pe

Answer:

D

Step-by-step explanation:

the x value = 1 so move to the right 1 mark on the graph and since y = -5 you move down 5 marks on the graph and you get you answer

hope this helps!

plz mark me brainliest if this helped!

have a great day!

Answer:

\(x=±\sqrt[]{4}+9\)

Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. The vertical separation between Mike and the mountain's base is 101.5 feet .

Given that,

Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. There are 3.8 feet of sea level below the mountain's base.

We have to find what is the vertical separation between Mike and the mountain's base.

The Mike comes to a stop 105.3 feet above sea level while trekking on a mountain.

3.8 feet of sea level below the mountain's base.

We just have to do the difference of the above sea level feet and below sea level feet.

=105.3-3.8

=101.5

Therefore, the vertical separation between Mike and the mountain's base is 101.5 feet .

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Answer:

Step-by-step explanation:

Raising both sides to the power of 10, we get \(x^{2}+x+14=10^{3x-5}\).

Answer:

Step-by-step explanation:

Answer:9.8 meters per second = 35280meters per hour

Step-by-step explanation:

Answer:

35280

Step-by-step explanation:

The sum of the tuple (1, 2, -2) and twice the tuple (-2, 3, 5) is (-3, 8, 8).

To calculate the sum of two tuples, we need to add the corresponding elements of the tuples. In this case, the tuples are (1, 2, -2) and twice (-2, 3, 5), which gives us (-4, 6, 10) when multiplied by 2. Then, we add the corresponding elements of both tuples: 1 + (-4) = -3 for the first element, 2 + 6 = 8 for the second element, and -2 + 10 = 8 for the third element.

Therefore, the sum of the two tuples is (-3, 8, 8).

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Answer:

9:6 27:18 and 81: 54

Step-by-step explanation:

Answer:

equal to 73

Step-by-step explanation:

The fraction 146 is equal to 73 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (73) by the same integer number,multiply by 2, 3, 4, 5, 6 ..

Answer:

my best guess is the 3rd one but I am not sure.

Step-by-step explanation:

The required volume of the wallet in m3 is 0.001393030684 m3.

Given, The volume of a wallet is 8.50 in. 3.

Convert this value to m3, using the definition 1 in. = 2.54 cm.

The given value of volume is 8.50 in.3.

But we need to convert it into m3.

We have, 1 in. = 2.54 cm.

Hence, 1 in.3 = (2.54 cm)3

                      = (2.54 × 2.54 × 2.54) cm3

                      = 16.387064 cm3

In order to convert the value from cm3 to m3, we need to follow the given steps:1

m = 100 cm

⇒ (1 m)3 = (100 cm)3

               = 106 cm3

Now, we have the relation, 16.387064 cm3 = 1 in.3

⇒ 1 cm3 = (1/16.387064) in.3

∴ 8.50 in.3 = 8.50 × 16.387064 cm3

                  = 139.3030684 cm3

∵ 1 m3 = (1/106) cm3

∴ 139.3030684 cm3= (139.3030684 × 10−6) m3

∴ 8.50 in.3= 1.393030684 × 10−3 m3

                 = 0.001393030684 m3

Hence, the required volume of the wallet in m3 is 0.001393030684 m3.

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Answer:

p = 23       and p = -22

Step-by-step explanation:

| 2p -1 | =45

Absolute value equations have 2 solutions, one positive value and one negative

2p-1 = 45    and 2p-1 = -45

Add 1 to all sides

2p-1+1 = 45+1    and 2p-1+1 = -45+1

2p = 46                        2p = -44

Divide by 2

2p/2 = 46/2    and   2p/2  = -44/2

p = 23       and p = -22

The result simplifies to \(-23/\sqrt3445.\)

To calculate \(sin(tan^-1(5/4)-tan^-1(6/7))\), we use the difference of angles formula for sine, which is sin(a-b) = sin(a)cos(b) - cos(a)sin(b).

For a = tan^-1(5/4) and b = \(tan^-1(6/7)\), we apply the identities \(sin(tan^-1(x))\)= \(x/\sqrt(1+x^2)\)and \(cos(tan^-1(x)) = 1/\sqrt(1+x^2)\), which gives:

\(sin(a) = 5/\sqrt41, \\cos(a) = 4/\sqrt41, \\sin(b) = 6/\sqrt85, \\cos(b) = 7/\sqrt85.\)

Substituting these values into the formula, the result simplifies to \(-23/\sqrt3445.\)

The sine formula can be used to express the sine of the difference between two angles (such as angle A and angle B).

The calculation of the sine of the difference between angles A and B can be achieved through the equivalent expression of the product of the sine of angle A and the cosine of angle B, subtracting from it the product of the cosine of angle A and the sine of angle B.

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The expected price of Tricki Corp, when it begins trading ex-rights, is $90.

We have,

When a stock goes ex-rights, the right to buy additional shares at a discounted price is no longer available to new investors.

Therefore, the value of the right is subtracted from the current stock price.

In this case,

To purchase one share of Tricki Corp, an investor would need to buy 10 rights at a cost of $10 each, for a total cost of $100.

With the subscription price of $90, the total cost of one share is $190.

Before going ex-rights, the stock price is $100.

After going ex-rights, the value of the right is $190 - $100 = $90.

The expected price of Tricki Corp, when it begins trading ex-rights.

= $100 - $90

= $10.

The new stock price will be $100 - $10 = $90.

Thus,

The expected price of Tricki Corp, when it begins trading ex-rights, is $90.

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If p = 6, he will not meet his goal.

If p = 7, he will meet his goal.

If p = 8, he will meet his goal.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Here, we have

Jerome has already read 50 pages of a novel and read p pages each day from Monday to Friday.

If Jerome read at least 85 pages by the end of Friday, inequality will be,

50 + 5p ≥ 85

If Jerome reads 6 pages each day,

If p = 6,

Inequality will be,

50 + 5(6) ≥ 85

80 ≥ 85

It's not true.

Hence, he will not meet his goal.

If p = 7,

Inequality will be,

50 + 5(7) ≥ 85

85 ≥ 85

It's true.

Hence, he will meet his goal.

If p = 8,

Inequality will be,

50 + 5(8) ≥ 85

90 ≥ 85

It's true.

Hence, he will meet his goal.

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Answer: The cooling of a body can be modeled using Newton's Law of Cooling, which states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. The equation for Newton's Law of Cooling is:

T(t) = T_0 + (T_s - T_0) * e^(-kt)

where T(t) is the temperature of the body at time t, T_0 is the initial temperature of the body, T_s is the temperature of the surroundings, k is the cooling constant, and e is the base of the natural logarithm.

Assuming that the temperature of the surroundings is constant at 68°F, we can use the given information to solve for t:

76.5°F = 68°F + (T_0 - 68°F) * e^(-kt)

Simplifying this equation, we get:

8.5°F = (T_0 - 68°F) * e^(-kt)

Taking the natural logarithm of both sides, we get:

ln(8.5°F / (T_0 - 68°F)) = -kt

Solving for t, we get:

t = -ln(8.5°F / (T_0 - 68°F)) / k

The cooling constant k depends on various factors such as the body's mass, the body's surface area, and the body's initial temperature. For a human body, k is typically estimated to be around 0.00087 per minute.

Assuming that the initial temperature of the body was 98.6°F (the average temperature of a living human body), we can plug in the values and solve for t:

t = -ln(8.5°F / (98.6°F - 68°F)) / 0.00087

t ≈ 16.5 hours

Therefore, it has been approximately 16.5 hours since the person died.

Step-by-step explanation:

To evaluate the indefinite integral of x^3x^2*5dx, we apply the power rule of integration, which results in (5/6) x^5 + c, where c is the constant of integration.

To evaluate the indefinite integral of x^3x^2*5dx, we need to apply the power rule of integration, which states that the integral of x^n dx is (1/(n+1))x^(n+1) + c, where c is the constant of integration. Using this rule, we can integrate each term of the given expression:

∫ x^3x^2*5dx = 5 ∫ x^(3+2)dx = (5/6) x^5 + c (by power rule)

Adding the constant of integration, c, to the result gives the final answer:

∫ x^3x^2*5dx = (5/6) x^5 + c

Alternatively, we can simplify the expression x^3x^2 as x^(3+2) = x^5 and use the power rule directly:

∫ x^3x^25dx = ∫ x^55dx = (1/6) x^6 + c

Adding the constant of integration, c, to this result gives the same final answer as before:

∫ x^3x^2*5dx = (1/6) x^6 + c = (5/6) x^5 + c

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Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

Answer:

y= 2 x - 7/3

Step-by-step explanation:

X1 = U1 + U-1 = U1 (since U-1 = 0);
X2 = U2 + U0 = U2 + 1 (since U0 = y1 - y0 = -1);
X3 = U3 + U1 = U3 + U1;
X4 = U4 + U3 + U2.

Innovations algorithm is a method for computing the values of a time series at each time point using the lag operator and the innovation or error terms. The lag operator, denoted by the symbol B, is used to shift the time index of a time series by one unit. Specifically, B multiplied by the time series X is equivalent to the time series X shifted one unit into the past.

We are given the MA(2) process X, = (1+0,B²)W with W, - WN(0,1), this means that X is a moving average process of order 2, where the current value of X depends on the current and two past innovation terms. The innovation terms U1, U2, U3, ... are uncorrelated random variables with zero mean and unit variance.

i) To use the innovations algorithm to find X1, X2, and X3 in terms of U1, U2, and U3, we first need to express X in terms of B and the innovation terms. Using the definition of the MA(2) process, we have:

Xt = (1 + 0*B^2)Wt + B* (1 + 0*B^2)Wt-1 + B^2* (1 + 0*B^2)Wt-2
= (1 + 0*B^2)Wt + B* (1 + 0*B^2)Wt-1 + B^2* (1 + 0*B^2)Wt-2
= Wt + B*Wt-1 + B^2*Wt-2

Next, we can use the innovations algorithm to express Xt in terms of the innovation terms U1, U2, and U3. The algorithm works as follows:

- Compute the initial values of the time series using the given initial conditions. In this case, we have y(0)=1+0*2, y(1)=0, y(2)=0, and y(h)=0 for h>3.
- For each time point t > 2, compute the innovation term Ut as the difference between the observed value yt and the predicted value based on the past observations up to time t-1. Specifically, we have:
Ut = yt - (1 + 0*B + 0*B^2) yt-1
= yt - yt-1

- Compute the current value of Xt as a linear combination of the past innovation terms Ut-1, Ut-2, and Ut-3, using the coefficients from the MA(2) process. Specifically, we have:
Xt = Ut + 0*Ut-1 + Ut-2
= Ut + Ut-2

Using this algorithm, we can compute the values of X1, X2, and X3 as follows:
- X1 = U1 + U-1 = U1 (since U-1 = 0)
- X2 = U2 + U0 = U2 + 1 (since U0 = y1 - y0 = -1)
- X3 = U3 + U1 = U3 + U1

ii) To find the value of X4, we can use the result from part i to express X4 in terms of the innovation terms U1, U2, U3, and U4. Specifically, we have:

X4 = U4 + U2
= y4 - y3 + y2 - y1
= (1 + 0*B^2) W4 - (1 + 0*B + 0*B^2) W3 + (1 + 0*B^2) W2 - (1 + 0*B + 0*B^2) W1
- (1 + 0*B + 0*B^2) W0
= W4 - W3 + W2 - W1
= U4 + U3 + U2

Therefore, X4 = U4 + U3 + U2.

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Answer:

21

Step-by-step explanation:

2 dozen=24

24-3=21

Answer:

The constant of proportionality for this relationship is 6. The price of 6 bags of candy is $36.

Step-by-step explanation:

Assuming that bag of candies is x and price is y, then the constant of proportionality will be how much y increases for every increase of x by 1.

When x increases by 1, y increases by 6. So, the constant of proportionality for this relationship is 6.

Using this, to find the value of y when \(x=6\), we can multiply 6 by 6 because for every time x increases by 6, y increase by \(6\cdot6\) times.

\(6\cdot6=36\)

So when x = 6, y = 36.

Hope this helped!

Answer:

I hope this helps!

Step-by-step explanation:

Answer:

5^3 = 125 cm^3

Step-by-step explanation:

The Volume of a cube is expressed as: V = s^3 - where s is the side of the cube and V is volume. Since all sides are 5cm long then the volume of the cube is 125 cm^3 OR it could also be expressed as 125 mL (since 1 cm^3 = 1 mL).

The standard linear equation can be written as 5x + 10y = 1430.

A linear equation's graph is a graph of a straight line.  The maximum power or exponent for determining if an equation is linear is 1.

The slope of a line indicates how steep the line is. A positive slope shows that the line goes up from left to right. However, a negative slope shows that the line goes down from left to right.

The graph of a linear equation takes the slope-intercept form y = mx + b;

here;

The y-intercept is the point on the line where it intersects the y-axis. From the given information; we can interpret the given information in standard form:

In a slope-intercept form, we have:

10y = -5x + 1430

\(y =- \dfrac{5}{10}x + \dfrac{1430}{10}\)

\(y = - \dfrac{1}{2}x + 143}\)

These can be plotted on the graph by finding the x-intercepts and the y-intercepts. x-intercepts are the values of x when y = 0 and y-intercepts are the values of y when x = 0.

As such;

The graph of these two points can be seen in the photo attached below.

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Answer:

1: the wooden part is 3.725 kilograms.

2: 10 Children

Answer:

1 3.725 kg of wood

2 10

Step-by-step explanation:

For question 1 you multiply the total weight by 3/4 to find the weight of the metal, you then subtract this from the total to find the weight of the wood

For question 2 you look at it as a fraction 1/3 kids + 2/3 adults equal 30, since there are twice as many adults. Then you multiply 30 by 1/3 and get 10

No, 9x2 42x 49 is not a perfect square trinomial.

Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."

No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,

where a and b are numbers or variables.

9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.

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The function shown on the graph is f(x) = -12cos(x) represents the graph.

By examining the graph, we can observe the characteristics of the function. The graph exhibits a periodic pattern with alternating peaks and valleys. The amplitude of the function is 12, as indicated by the vertical distance between the maximum and minimum points. Additionally, the function appears to be symmetric with respect to the x-axis, indicating that it is an even function.

Considering these observations, we can identify that the cosine function matches these characteristics. The negative sign in front of the cosine function (-cos(x)) reflects the downward shift of the graph, which is evident in the given graph. Therefore, the function f(x) = -12cos(x) best represents the graph.

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Assuming that "a" refers to a matrix with dimensions of 100x10^6, it is highly unlikely that either the primal or dual problem would be solvable using traditional methods.

if "a" is assumed a much smaller matrix with dimensions that were suitable for traditional methods, then the answer would depend on the specific problem being solved and the preference of the solver.

In general, the primal problem is used to maximize a linear objective function subject to linear constraints, while the dual problem is used to minimize a linear objective function subject to linear constraints.

So, if the problem involves maximizing a linear objective function, then the primal problem would likely be solved.

If the problem involves minimizing a linear objective function, then the dual problem would likely be solved.

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Mark has 15 marbles to sell, and Don has 61 marbles to sell. Let's assume that Mark has x marbles.

According to the given information, Don has 1 more than 4 times the number of marbles Mark has. Therefore, Don has (4x + 1) marbles.

The total number of marbles is given as 76, so we can write the equation:

x + (4x + 1) = 76

Combining like terms:

5x + 1 = 76

Subtracting 1 from both sides:

5x = 75

Dividing both sides by 5:

x = 15

Now we know that Mark has 15 marbles. Substituting this value into the expression for Don's marbles:

Don = 4x + 1

Don = 4(15) + 1

Don = 60 + 1

Don = 61

Therefore, Mark has 15 marbles to sell, and Don has 61 marbles to sell.

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Answer: its 40 because its a whole number

Step-by-step explanation: