work out m and c for the line
y=9x-4

m=
c=

PLEASE BE QUICK!!! ​

Answer:

you just multiply normaly and the decimals get multiplied too

Step-by-step explanation:

4.6*8.3=38.18 4*8= 38 and 6*3= 18 so the answer is 38.18

The system of linear equations using the Gauss-Jordan elimination method has infinitely many solutions involving the parameter t, with x = 128/15, y = 2t - (11/5), and z = t.

To solve the given system of linear equations using the Gauss-Jordan elimination method, we'll perform row operations to transform the augmented matrix into reduced row-echelon form. Let's go through the steps:

Write the augmented matrix representing the system of equations:

| 3 -2 4 | 30 |

| 2 1 -2 | -1 |

| 1 4 -8 | -32 |

Perform row operations to eliminate the coefficients below the leading 1s in the first column:

R2 = R2 - (2/3)R1

R3 = R3 - (1/3)R1

The augmented matrix becomes:

| 3 -2 4 | 30 |

| 0 5 -10 | -11 |

| 0 6 -12 | -42 |

Next, eliminate the coefficient below the leading 1 in the second row:

R3 = R3 - (6/5)R2

The augmented matrix becomes:

| 3 -2 4 | 30 |

| 0 5 -10 | -11 |

| 0 0 0 | 0 |

Now, we can see that the third row consists of all zeros. This implies that the system of equations is dependent, meaning there are infinitely many solutions involving one parameter.

Expressing the system of equations back into equation form, we have:

3x - 2y + 4z = 30

5y - 10z = -11

0 = 0 (redundant equation)

Solve for the variables in terms of the parameter:

Let's choose z as the parameter (let z = t).

From the second equation:

5y - 10t = -11

y = (10t - 11) / 5 = 2t - (11/5)

From the first equation:

3x - 2(2t - 11/5) + 4t = 30

3x - 4t + 22/5 + 4t = 30

3x + 22/5 = 30

3x = 30 - 22/5

3x = (150 - 22)/5

3x = 128/5

x = 128/15

Therefore, the solution to the system of linear equations is:

x = 128/15

y = 2t - (11/5)

z = t

If t is any real number, the values of x, y, and z will satisfy the given system of equations.

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Answer: 227

Step-by-step explanation:

To find the 46th term of the sequence, we need to first determine the pattern of the sequence. We can see that the sequence increases by 5 between each consecutive term. Therefore, the common difference of the sequence is 5.

Using this information, we can find the \(n\)th term of the sequence using the formula:

\(\Large \boxed{an = a1 + d(n-1)}\)

where

Using the given terms, we have:

To find the 46th term, we substitute \(n = 46\) into the formula:

Therefore, the 46th term of the sequence is 227.

________________________________________________________

To find the pattern in the sequence, we can observe that each term is obtained by adding 5 to the previous term. Therefore, we can write the recursive formula for the sequence as:

\(\large a_1 = 2\)

\(\large a_n = a_{n-1} + 5\)

To find the 46th term, we can use the recursive formula to generate each term until we reach the desired term:

\(\large a_1 = 2\)

\(\large a_2 = a_1 + 5 = 2 + 5 = 7\)

\(\large a_3 = a_2 + 5 = 7 + 5 = 12\)

\(\large a_4 = a_3 + 5 = 12 + 5 = 17\)

\(\vdots\)

\(\large a_{46} = a_{45} + 5 \approx \boxed{227}\)

\(\therefore\) The 46th term of the sequence is approximately 227.

We can also write the explicit formula for the sequence as:

\(\large a_n = 5n - 3\)

To verify that this formula generates the same sequence as the recursive formula, we can substitute the value of n = 1, 2, 3, etc. and compare the results.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Number of cups of needed for 7 loaves of banana bread is 8.75  cups

Number of cups of flour needed for 2 loaves of banana bread = 2.5 cups

Here we have to use the unitary method

Number of cups of flour needed for 1 loaves of banana bread = Number of cups of flour needed for 2 loaves of banana bread / 2

Substitute the values in the equation

= 2.5 / 2

= 1.25  cups

Number of cups of flour needed for 7 loaves of banana bread = 7 × 1.25

Multiply the numbers

= 8.75 cups

Therefore, he need 8.75 cups of flour for 7 loaves of banana bread

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A standard normal random variable (Z) has a mean of 0 and a standard deviation of 1. The probability of Z being greater than 0 is equal to the area under the normal curve to the right of 0, which is exactly half of the total area under the curve (since the curve is symmetric around the mean of 0). Therefore, P(Z>0) is equal to 0.5.

A standard normal random variable, like Z in your question, follows a standard normal distribution, which is a special type of normal distribution with a mean of 0 and a standard deviation of 1. Now, you're asked to find the probability P(Z > 0).

Since the standard normal distribution is symmetrical around the mean (0), the probability of Z being greater than 0 is equal to the probability of Z being less than 0. In other words, half of the distribution is on the right side of the mean, and the other half is on the left side.

Therefore, P(Z > 0) = 0.5, which is your answer.

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In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations. Combinations exist when the order doesn't matter, but permutations exist when it does. A permutation could be described as an ordered combination. The following formula determines how many permutations of n objects, taken r at a time: P(n,r)=n!

Given,

Ways 7 runners can places 1 through 4 be determined:

By using permutation:

7!

7 ×6 × 5 ×4×3×2×1

5040

In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

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Answer:

127

Step-by-step explanation:

The original price of the bracelet, before tax $0.68

From the question, we have the following parameters that can be used in our computation:

Amount = $0.72

Sales tax = 6%

Using the above as a guide, we have the following:

Amount = Original amount * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

0.72 = Original amount * (1.06)

So, we have

Original amount = 0.68

Hence, the original amount = 0.68

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\( \frac{q}{7} + 1 > - 5➡q > - 42\)

\(\dfrac q7 + 1 > -5\\\\\implies \dfrac q7 > -5-1\\\\\\\implies \dfrac q7 > -6\\\\\\\implies q > -42\\\\\text{Interval,} ~ (-42, \infty)\)

a. S = {(1, -1), (2, 1)}Let's begin by calculating the determinant of the matrix composed of the vectors of S, and checking if it is equal to 0. Because the two vectors are not colinear, they should span R2.|1 -1||2 1| determinant is not 0, therefore S spans R2. No geometric description is required for this example.

b. S = {(1, 1)} The set S contains one vector. A set containing only one vector cannot span a plane because it only spans a line. Therefore, S does not span R2. Geometric description: S spans a line that passes through the origin (0, 0) and the point (1, 1).c. S = {(0, 2), (1, 4)} Let's again begin by calculating the determinant of the matrix composed of the vectors of S, and checking if it is equal to 0.|0 2||1 4| determinant is 0, thus S does not span R2. In this scenario, S only spans the line that contains both vectors, which is the line with the equation y = 2x.

Geometric description: S spans a line that passes through the origin (0, 0) and the point (1, 2).

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We have to mutliply two algebraic expression. We will use the distributive property to multiply. A form of the distributive property is shown below:

Basically we take the first term of the first factor and multiply it with the two terms of the second factor.

Next, we take the second term of the first factor and multiply it with the two term of the second factor.

The multiplication process is outlined below:

We see that "3p" and "-3p" will cancel out. So, the product is >>>>

Let's take the subspace (X,T) of (Y,T*), where (Y,T*) is a subspace of (Z,T**). Here, we are required to show that (X,T) is also a subspace of (Z,T**). Let's start our proof.

To show that (X,T) is a subspace of (Z,T**), we must show that (X,T) satisfies the subspace axioms. The subspace axioms that must be satisfied are:

1. The zero vector, 0, is in (X,T).

2. If u and v are in (X,T), then u + v is also in (X,T).

3. If u is in (X,T) and a is a scalar, then au is also in (X,T).

So, let's prove each axiom for (X,T) to be a subspace of (Z,T**):

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Answer:

Option A

Step-by-step explanation:

Thisbis because when two of them are hanged on the same side it means that it's addition. (Addition of weight)

Answer:

19.\(-\frac{5}{6}^{3}\)

20.\(s^{2} *7^{3}\)

21.\(4^{2} * b^{4}\)

22. 97.2

23. 234

Step-by-step explanation:

\(k^{4}*m\\ 3^{4} *\frac{5}{6}\\ 81*\frac{5}{6}=97.2\)

\((c^{3}+ d^{4})^{2} -(c+d)^3\\(-1^3+2^4)^2-(-1^3+2^3)\\-1+256+1+8\\=234\)

I hope this helps.

The function will have a maximum value at the vertex (3, -54).Thus, the local maximum is 0.

Determine whether g is even, odd, or neither

To determine whether g is even, odd, or neither, we will use the formula given below:Even function: f(-x) = f(x)Odd function: f(-x) = -f(x)Neither: f(-x) ≠ f(x) and f(-x) ≠ -f(x)Let's plug in the given function: g(x) = x°-27xNow, we will find f(-x) and f(x) by replacing -x in place of x:f(-x) = (-x)°-27(-x) = x°+27xf(x) = x°-27xAs f(-x) ≠ f(x) and f(-x) ≠ -f(x)Thus, the given function g(x) is neither even nor odd.

There is a local minimum of - 54 at 3. Determine the local maximum.

Given that there is a local minimum of - 54 at 3.To determine the local maximum, we will check the end behavior of the function.Let's rewrite the function: g(x) = x°-27x => g(x) = x(x-27)When x < 0, both x and (x-27) will be negative, thus g(x) > 0.When x > 27, both x and (x-27) will be positive, thus g(x) > 0.

When 0 < x < 27, x will be positive, and (x-27) will be negative. Thus, the product x(x-27) will be negative. Therefore, the function will have a maximum value at the vertex (3, -54).Thus, the local maximum is 0.

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The rules AAS, ASA, SSS and SAS are congruence rule of triangle  and the each rules has been explained

The rules AAS, ASA, SSS and SAS are congruence rule of triangle

SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent

SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to  the two sides and one included angles between the sides of the other triangle, then both triangles are congruent

ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent

AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent

Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle

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To find the volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by rotating a curve f(x) about the x-axis, over an interval [a, b], is given by:

V = ∫[a, b] 2πx * f(x) * dx

In this case, the interval is [4, 7], so we need to evaluate the integral:

V = ∫[4, 7] 2πx * f(x) * dx

To find the function f(x), we need the equation of the curve. Unfortunately, you haven't provided the equation of the curve. If you can provide the equation of the curve, I will be able to help you further by calculating the integral and finding the volume.

Please provide the equation of the curve so that I can assist you in finding the volume of the solid.

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Answer:

90-26=64

64 is the value of x

Step-by-step explanation:

The required trigonometric ratios of angle C in the given table are

(a) adjacent leg ÷ hypotenuse (cos C) = 0.95

(b) opposite leg ÷ hypotenuse (sin C) = 0.31

(c) opposite leg ÷ adjacent leg (tan C) = 0.33

The three important trigonometric ratios are:

sin θ = opposite leg ÷ hypotenuse

cos θ = adjacent leg ÷ hypotenuse

tan θ = opposite leg ÷ adjacent leg

In the given right-angle triangle, the ratios are given as

cos A = adjacent leg ÷ hypotenuse = 0.31

sin A = opposite leg ÷ hypotenuse = 0.95

tan A = opposite leg ÷ adjacent leg = 3.06

These ratios are w.r.t the angle A.

Since we know that, in the right angle triangle,

∠A + ∠B + ∠C = 180°

⇒ ∠A + 90° + ∠C = 180°

⇒ ∠A = 180° - 90° - ∠C

∴ ∠A = 90° - ∠C

So, the trigonometric ratios w.r.t the angle C are:

(a) cos A = cos (90° - ∠C) = sin C

But we have cos A = 0.31

∴ sin C = 0.31

(b) sin A = sin (90° - ∠C) = cos C

But we have sin A = 0.95

∴ cos C = 0.95

(c) Then, tan C = sin C/cos C

Here we got sin C = 0.31 and cos C = 0.95

So, tan C = 0.31/0.95 = 0.33

Thus, the table is as follows:

angle    adj ÷ hyp    opp ÷ hyp    opp ÷ adj

A              0.31              0.95               3.06

B              0.95             0.31                0.33

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The bus 2 will pass bus 1 at 12.30 pm, when both are at 360 miles.

The bus 1 starts half hour earlier than bus 2. But since bus 2 is faster, it will overtake at some point. At 8 am, bus 1 will start. By the time 8.30, it will cover a distance of 40 miles.

Bus 2 starts at 8.30, So it will be at 0 miles.

By 10, the bus 1 will be at 160 miles, bus 2 at 135 miles

By 10.30, the bus 1 will be at 200 miles, bus 2 at 180 miles.

By 11.30, bus 1 will be at 280 miles, bus 2 will be at 270 miles

By 12.30, bus 1 will be at 360 miles, bus 2 will be at 360 miles.

So at the 360 the, the both the buses passes each other.

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The magic sum of the 3 x 3 magic square would be 30.

A 3 x 3 magic square is structured such that each row, column, and the two main diagonals sum up to an identical value, coined as the "magic" sum.

In a 3 x 3 magic square, the central number is related to the magic sum as follows:

Magic sum = 3 × Central number

Magic sum = 3 x 10

Magic sum = 30

In conclusion, the magic sum of the 3x3 magic square with a central number of 10 is 30.

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Answer:

8(5) + 8(2)

Step-by-step explanation:

8 (5 + 2) is 8 (7) or 56

If I distribute the 8 through the problem, I will get the same answer

8(5) + 8(2)

40 + 16

56

Answer:

$1.10

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The sides parallel to each midsegment are twice as long.

The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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To determine the relationship between drag force and speed, you can conduct an experiment using 5 coffee filters and a motion detector. First, set up the motion detector to track the speed of the coffee filters as they fall through the air. Then, drop each coffee filter one at a time and record the drag force measured by the motion detector.

Plot the drag force on the y-axis and the speed on the x-axis, and you should be able to observe a relationship between the two variables. As the speed of the coffee filter increases, the drag force will also increase. This relationship is due to air resistance, which causes the coffee filter to experience a drag force as it falls through the air.

By analyzing the data and creating a graph, you can determine the specific relationship between drag force and speed for these coffee filters. This information can be useful in understanding how air resistance affects the motion of objects and in designing experiments or models that take air resistance into account.

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Answer:

y=(-1/2)(x)-8

Step-by-step explanation:

Since they give the slope and y intercept, you can literally plug it into the equation:

y=mx+b

where m is slope and b is y interecept.

Therefore, we get

y=(-1/2)(x)-8

a) Consider the experiment of picking 3 tax returns at random as 3 related experiments (due to the fact that it is without replacement); then, as for the first time one selects a tax return,

As for the second time we grab a tax return, there are 69 tax returns in total and 9 of them contain errors; thus,

Similarly, as for the third picking round,

Finally, the probability of experiment a) is

Rounded to one decimal place, the probability of event a) is 65.7%

b) Similarly, in the event of all three tax returns containing errors,

Thus,

The probability of event b) is 0.2%. It is quite unusual.

c) The condition 'at least one of those containing errors' includes the cases when 1, 2, or 3 tax returns of the ones selected have errors. Notice that

Therefore,

And we found the probability of picking 3 tax returns without any errors in part a); thus,

The probability of event c) is 34.3%.

d) Analogously to part c), the probability of selecting at least one without errors is

The probability of event d) is 99.8%, and it is not improbable at all.