12x + 36 -14 -8x +5 =

Answer:

hwqvh bjvs bhs ebf

Step-by-step explanation:

Answer:

The answer is 1, 2, and 3 only

Step-by-step explanation:

Math

Way

The equations which have slope 1/4:

ii.  (y - 3.5) = 0.25(x - 2.75)

iii.  5x - 20y = 32

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope.

I. y = x - 5 is in slope-intercept form, so we can see that its slope is 1.

II. (y - 3.5) = 0.25(x - 2.75) can be rewritten in slope-intercept form as y = 0.25x + 2.1875. Therefore, its slope is 0.25 or 1/4.

III. 5x - 20y = 32 can be rewritten in slope-intercept form as y = (1/4)x - (4/5). Therefore, its slope is 1/4.

IV. 5x + 20y = 32 can be rewritten in slope-intercept form as y = (-1/4)x + (4/5). Therefore, its slope is -1/4.

So, only equations II, and III have a slope of 1/4.

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A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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The per capital GDP in the country is $27,398.31.

When GDP is given without specification, it usually means nominal GDP. Nominal GDP is the total value of all goods and services produced in a country at current market prices, without adjusting for inflation.

per capital GDP is given by the formula:

per capital GDP = [Nominal GDP/(1 + inflation)] / [population]

Nominal GDP = $1.31 trillion = $1.31 * 10¹²

inflation = 2.5% = 0.025

population = 46,647,000

per capital GDP = [1.31*10¹²/(1 + 0.025)] / [46,647,000]

per capital GDP = [1.31*10¹²/(1.025)] / [46,647,000]

per capital GDP = $27,398.31

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The measure of CDB is 90 degrees if line AC is a tangent to circle D at point B, then DB is a radius of the circle.

If line AC is a tangent to circle D at point B, then DB is a radius of the circle.

In a circle, the radius that is perpendicular to a tangent line at the point of contact forms a right angle with the tangent line.

This means that angle CBD is a right angle, measuring 90 degrees.

Hence, if line AC is a tangent to circle D at point B, then DB is a radius of the circle then the measure of CDB is 90 degrees.

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By using the synthetic division we have find that the quotient of x³-4x²+7 divided by x-3 is x² - x - 3, with a remainder of 4.

To use synthetic division, we first need to set up the equation in the correct format. We write the coefficients of the polynomial equation in descending order, and then we include any missing coefficients as 0. In this case, the equation x^3-4x²+7 can be written as:

1x^3 - 4x² + 0x + 7

Next, we write the linear equation in the format (x-a), where "a" is the value being divided out of the polynomial equation. In this case, a = 3, so we write the linear equation as:

(x-3)

We start by copying the first coefficient (1) from the top row to the bottom row.

We then multiply this coefficient by the value of "a" (3) and write the result (3) under the next coefficient (which is -4).

We add these two values together to get -1, which we write under the 0 coefficient.

We then repeat this process by multiplying -1 by 3 to get -3, which we write under the last coefficient (which is 7). We add these two values together to get 4.

Our synthetic division table should look like this:

3 | 1 -4 0 7 | 3 -1 -3

-----------------------------

   | 1 -1 -3 4

The bottom row of the table shows the coefficients of the quotient, which are 1, -1, and -3. These coefficients form the quotient of the division, which can be written as:

x² - x - 3

The last number in the bottom row of the table (4) is the remainder of the division. This means that our original equation x³-4x²+7, when divided by x-3, has a remainder of 4.

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Answer:

We can see that as x increases, y decreases. This indicates a negative slope meaning that the two variables are negatively related.

Hope this helps! :)

Answer:

92.

Step-by-step explanation:

By proportion the mass of zinc = (345/ 15) * 4

= 92.

Answer:

I think it is a function???

Step-by-step explanation:

Because a graph represents a function if it impossible to draw a vertical line that intersects the graph more than once.

I'm not sure if I'm correct, let me know please.

Answer:

26 inches

Step-by-step explanation:

The parallelogram as 4 sides with are parallel with the opposite side, which also means that they will be the same length.

so if the length is 4 and the width is 9 would would have to add 4+4+9+9 and that would get you 26

Step 1:

\(97+(-27)+(-89)+(-54)\)

Step 2:

\( = 97 - 27 - 89 - 54\)

Info:

(+) ×(-)=-

Step 3:

\( = 97 - 170\)

Step 4:

\( = - 73✓\)

Answer:

Step-by-step explanation:

97+(-27)+(-89)+(-54)= -73

Answer:

7 hours

Step-by-step explanation:

yw :)

Answer: 1 \(\frac{1}{2}\)

Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2

hope it helps!!

The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer:

-5 < x < 3

Step-by-step explanation:

x is less than 3 and greater than -5.

Answer:

To prove that every bounded sequence contains a convergent subsequence, we will use the Bolzano-Weierstrass theorem.

Bolzano-Weierstrass theorem: Every bounded sequence in Euclidean space has a convergent subsequence.

Proof: Let (a_n) be a bounded sequence in Euclidean space, which means that there exists some M > 0 such that |a_n| <= M for all n. We will use the bisection method to construct a subsequence that converges to some limit L.

Step 1: Divide the interval [-M, M] into two subintervals, [-M, 0] and [0, M]. Since (a_n) is bounded, at least one of these intervals contains infinitely many terms of the sequence. Let's call the interval that contains infinitely many terms I_1.

Step 2: Divide I_1 into two subintervals of equal length, and again, at least one of these subintervals must contain infinitely many terms of the sequence. Let's call the interval that contains infinitely many terms I_2.

Step 3: Repeat this process for each subinterval, dividing it into two subintervals of equal length and choosing the one that contains infinitely many terms of the sequence. We obtain a sequence of nested intervals I_1 ⊃ I_2 ⊃ I_3 ⊃ ... that contain infinitely many terms of the sequence.

Step 4: Since the length of each interval is decreasing and they are nested, the intersection of all the intervals is a single point L. By construction, every term of the sequence (a_n) belongs to one of the intervals I_k, which means that there exists a subsequence (a_nk) that converges to L.

Therefore, every bounded sequence in Euclidean space has a convergent subsequence, as required.

Step-by-step explanation:

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Step-by-step explanation:

1/3 × x = 150,000

x/3 = 150,000

x = 150,000 × 3 = $450,000

Answer

value of x is 34 degrees  

Step-by-step explanation:

If λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.

The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.

Then, we have:

Av = λv

Taking transpose on both sides we have:

\(v^T A^T = \lambda v^T\)

The above equations thus relates transpose of vector and transpose of A to λ.

Now, consider a matrix:

\(\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right]\)

Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.

The eigenvectors are:

\(v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T\)

Now, for transpose of A:

\(A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right]\)

The eigen vectors are:

\(u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T\)

Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

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Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

\( \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75\)

Answer: 30

Step-by-step explanation:

The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.

hello

to solve this question, we need to plot the graph of this equation

Answer:

Against the direction of the wind is \(x-10=35-10=25\ \text{mph}\) and with the wind is \(x+10=35+10=45\ \text{mph}\)

Step-by-step explanation:

Let x be the speed of the hawk in still air

The speed of the wind is 10 mph

So speed of the hawk when flying against the wind is \(x-10\) and with the wind is \(x+10\).

Distance the hawk travels when going against the wind is 50 miles and going with the wind is 90 miles

The hawk covers the above mentioned distances in the same amount of time.

\(\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}\)

\(\dfrac{50}{x-10}=\dfrac{90}{x+10}\\\Rightarrow \dfrac{50}{x-10}-\dfrac{90}{x+10}=0\\\Rightarrow \dfrac{50(x+10)-90(x-10)}{x^2-100}=0\\\Rightarrow 50x+500-90x+900=0\\\Rightarrow -40x+1400=0\\\Rightarrow x=\dfrac{1400}{40}\\\Rightarrow x=35\ \text{mph}\)

The speed of the hawk in still air is 35 mph.

Speed of the hawk against the direction of the wind is \(x-10=35-10=25\ \text{mph}\) and with the wind is \(x+10=35+10=45\ \text{mph}\).

Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Interest earned on $25,000 when it is compounded annually for 2 years at the rate of 4.7% is $2,405.23.

Compound interest is the term for interest that is earned on interest.

This may be shown using simple math: if you start with $100 and it earns 5% interest every year, you will have $105 at the end of the first year.

At the end of the second year, you will have $110.25.

So, we know that:
Principal amount = $25000

Interest rate = 4.7%

Time = 2 years

Compounded annually

Then, using the compounding calculator:

(Refer to the graph attached below)

The amount after 2 years will be $27,405.23.

Interest in this is:
$27,405.23 - $25,000

$2,405.23

Therefore, interest earned on $25,000 when it is compounded annually for 2 years at the rate of 4.7% is $2,405.23.

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Correct question:

Find the interest earned on a $25,000 deposit for 2 years at 4.7% interest, compounded annually.