Enter range of values for x​

Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

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The domain and the range of the function are given as follows:

The function approaches y = 0 as x approaches positive infinity.

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Answer:

I think this is how u spell it

Step-by-step explanation:

Disturbtive

Notice that 56° = 45° + 11°. Then

tan(56°) = sin(56°) / cos(56°)

… = sin(45° + 11°) / cos(45° + 11°)

… = (sin(45°) cos(11°) + cos(45°) sin(11°)) / (cos(45°) cos(11°) - sin(45°) sin(11°))

Recall that sin(45°) = cos(45°) = 1/√2, so we can cancel each term involving 45° :

tan(56°) = (cos(11°) + sin(11°)) / (cos(11°) - sin(11°))

Answer:

\(y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}\)

Step-by-step explanation:

y′′ + 4y′ − 21y = 0

The auxiliary equation is given by

m² + 4m - 21 = 0

We solve this using the quadratic formula. So

\(m = \frac{-4 +/- \sqrt{4^{2} - 4 X 1 X (-21))} }{2 X 1}\\ = \frac{-4 +/- \sqrt{16 + 84} }{2}\\= \frac{-4 +/- \sqrt{100} }{2}\\= \frac{-4 +/- 10 }{2}\\= -2 +/- 5\\= -2 + 5 or -2 -5\\= 3 or -7\)

So, the solution of the equation is

\(y = Ae^{m_{1} t} + Be^{m_{2} t}\)

where m₁ = 3 and m₂ = -7.

So,

\(y = Ae^{3t} + Be^{-7t}\)

Also,

\(y' = 3Ae^{3t} - 7e^{-7t}\)

Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,

\(y(1) = Ae^{3X1} + Be^{-7X1}\\1 = Ae^{3} + Be^{-7}\\Ae^{3} + Be^{-7} = 1 (1)\)

\(y'(1) = 3Ae^{3X1} - 7Be^{-7X1}\\0 = 3Ae^{3} - 7Be^{-7}\\3Ae^{3} - 7Be^{-7} = 0 \\3Ae^{3} = 7Be^{-7}\\A = \frac{7}{3} Be^{-10}\)

Substituting A into (1) above, we have

\(\frac{7}{3}B e^{-10}e^{3} + Be^{-7} = 1 \\\frac{7}{3}B e^{-7} + Be^{-7} = 1\\\frac{10}{3}B e^{-7} = 1\\B = \frac{3}{10} e^{7}\)

Substituting B into A, we have

\(A = \frac{7}{3} \frac{3}{10} e^{7}e^{-10}\\A = \frac{7}{10} e^{-3}\)

Substituting A and B into y, we have

\(y = Ae^{3t} + Be^{-7t}\\y = \frac{7}{10} e^{-3}e^{3t} + \frac{3}{10} e^{7}e^{-7t}\\y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}\)

So the solution to the differential equation is

\(y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}\)

Answer:

What transaction occurs when an investor decides to liquidate assets?

A. buy

B. hold

(C. sell)

D. speculate

Step-by-step explanation:

I got a 5/5 on the test and i got the answer from a quizlet (:

Sell is the answer

The correct option is (C).

Given,

In the question:

What transaction occurs when an investor decides to liquidate assets?

Now, According to the question:

when an investor decides to liquidate assets.

when an investor decides to liquidate assets means he or she want to sell the property in the open market, in other words liquidate assets means

converting non- liquid assets into liquid assets.

In investing, liquidation occurs when an investor closes their position in an asset. Liquidating an asset is usually carried out when an investor or portfolio manager needs cash to re-allocate funds or rebalance a portfolio. An asset that is not performing well may also be partially or fully liquidated.

According to the statement

Therefore, Sell is the answer

The correct option is (C).

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By applying the congruent triangles concept, it can be concluded ΔGHI is congruent to ΔJKL.

Congruent triangles are two or more triangles that are exactly the same shape and size as one another. So, the triangles will remain exactly the same when rotated, reversed, or even folded.

The properties of congruent triangles:

if ΔABC ≅ ΔEFG then:

AB = EF

BC = FG

∠A = ∠E

∠B = ∠F

Now we look at the attached image:

Because GH ≠ MN, we don't need to check the other properties to conclude that ΔGHI and ΔMNP are not congruent.

Because GH = JK, HI = KL, ∠G = ∠J, and ∠H = ∠K, then we can conclude that ΔGHI ≅ ΔJKL

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The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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The diagrams are below.

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

Explanation:

Problem 6

Refer to figure 1 shown below.

tan(angle) = opposite/adjacent

tan(78) = x/5

x = 5*tan(78)

x = 23.5231505473922

x = 23.52

Round this value however your teacher instructs. Make sure your calculator is in degree mode.

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

Problem 7

Refer to figure 2 shown below.

sin(angle) = opposite/hypotenuse

sin(theta) = 27.6/300

theta = arcsin(27.6/300)

theta = 5.2786761033211

theta = 5.28 degrees

The notation arcsin or arcsine is the same as inverse sine. On many calculators this is shown as the button \(\sin^{-1}\)

Answer:

7. \(\displaystyle 5\degree\)

6. \(\displaystyle 23,5\:yd.\)

Step-by-step explanations:

7. When drawn out, you will notise you must use the inverce cotangent trigonometric ratio:

\(\displaystyle ? = cot^{-1}\:\frac{300}{27,6}; 5,2564149414...\degree \\ \\ \boxed{5\degree \approx\:?} \\ \\ \\ OR \\ \\ \\ ? = tan^{-1}\:\frac{27,6}{300}; 5,2564149414...\degree \\ \\ \boxed{5\degree \approx\:?}\)

_______________________________________________

6. When drawn out, you will notise you must use the cotangent trigonometric ratio:

\(\displaystyle ? = \frac{5}{cot\:78}; 23,523150547... \\ \\ \boxed{23,5 \approx\:?} \\ \\ \\ OR \\ \\ \\ ? = 5tan\:78; 23,523150547... \\ \\ \boxed{23,5 \approx\:?}\)

I am joyous to assist you at any time.

Extended information on trigonometric ratios

\(\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:\theta \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:\theta \\ \frac{OPPOCITE}{ADJACENT} = tan\:\theta \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:\theta \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:\theta \\ \frac{ADJACENT}{OPPOCITE} = cot\:\theta\)

Answer:

Use the trend line to predict the number of Umbrellas sold in a month, if there were 10 rainy days. Draw the vertical line from 10 on the horizontal axis to the trend line. Then, draw horizontal line to the vertical axis from the trend line as shown below. Number of Umbrellas sold in the month is about 9, if there were 10 rainy days.

164449 avatar

I searched your answer and this came up, I'd answer but it wont let me sadly, but hopefully this will help??

Step-by-step explanation:

Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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The two triangles are congruent since they have equal angles and equal sides.

Congruent triangles are two triangles that have exactly the same size and shape.

In other words we can say that they have the same angles and the same side lengths.

So when two triangles are congruent, all of their corresponding parts including the angles and sides are equal.

For the given triangles

The missing value of angle C = 180 - (18 + 110) = 52⁰

The missing value of angle F = 180 - (18 + 52) = 110⁰

So it is obvious that the two triangles are congruent since they have equal angles and equal sides.

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Answer:

125 degrees

Step-by-step explanation:

Just add the two angles given

A graph which represents the solutions to this quadratic equation (x² + 8x = -20) is: B. Linear-quadratic system graph shows upward parabola with vertex at (minus 4, 4) and passing through (minus 2, 8), and (minus 6, 8).

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In Mathematics, the graph of any quadratic function or equation always forms a parabola because it is a u-shaped curve.

In conclusion, we can reasonably infer and logically deduce that the given quadratic equation is modeled by an upward parabola with its vertex at (-4, 4) as shown in the graph attached below.

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Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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The equation is sometimes true. When x = 0, 1 or -1, then the equation is true. Otherwise, the equation is false.

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

Explanation:

When it comes to something like "always true" all we need is one counter example to break that statement. Pick something like x = 64 and you'll find that the left hand side becomes

\(x^{1/3} = 64^{1/3} = \sqrt[3]{64} = \sqrt[3]{4^3} = 4\)

while the right hand side turns into

\(x^3 = 4^3 = 4*4*4 = 64\)

This means the original equation \(x^{1/3} = x^3\) updates to \(4 = 64\) after plugging in x = 4. We get a false statement making the original statement false when x = 4. So saying  "\(x^{1/3} = x^3\) is always true" is not correct.

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

The equation is only sometimes true for the x values 0, 1 and -1

Let's try x = 0

\(x^{1/3} = x^3\\\\0^{1/3} = 0^3\\\\0 = 0\)

we get a true statement confirming x = 0 as a solution

Trying x = 1 leads to

\(x^{1/3} = x^3\\\\(1)^{1/3} = 1^3\\\\1 = 1\)

also true. A similar situation happens with x = -1 as well, just that we have negatives this time.

The result can be shown in multiple forms.

Exact Form:

15/7

Decimal Form:

2.142857

Mixed Number Form:

2   1/7

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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m

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much love <333 good bye!!

As a result, the borrower can qualify for a loan amount of $476,757.76, expression resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.

In mathematics, an expression is a grouping of representations, digits, and huge corporations that resemble a clear relationship or regimen. An expression can be a real number, a transitory, or a combination of the two. Addition, subtraction, pervasiveness, division, and exponentiation are examples of mathematical operators. Expressions are common in arithmetic, mathematics, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

To solve this problem, we must use the loan program's single ratio, which is 45%. This is the maximum debt-to-income (DTI) ratio a borrower can have in order to qualify for the loan.

$65,000 divided by 12 months equals $5,416.67 per month

$5,416.67 divided by 45% equals $2,437.50 per month

$2,437.50 minus $360 equals $2,077.50 per month

$2,077.50 minus $490 equals $1,587.50 per month

This means that the borrower can afford a $1,587.50 monthly principal and interest payment.

Loan amount = (Monthly payment) / (Monthly interest rate)

The loan amount is ($1,587.50) divided by the loan term (0.00333)

The loan amount is $476,757.76.

As a result, the borrower can qualify for a loan amount of $476,757.76, resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.

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Answer:

Step-by-step explanation:

Let it be:

Then, round to the nearest hundredths:

After rounded it to the nearest hundreds, the number is,

⇒ 2.38

We have to given that,

Round a number 2.382 to the nearest hundreds.

Here, The number is,

⇒ 2.382

Since, Number in thousandth place is, 2

Which is less than 5.

Hence, After rounded it to the nearest hundreds, we get;

⇒ 2.382 ≈ 2.38

Therefore, The solution is, 2.38

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Answer:

C~7

Step-by-step explanation:

The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The equation is:

\(\rm 3(x + 9)^{3/4} = 24\)

After solving:

\(\rm (x + 9)^{3/4} = 8\)

(x + 9)³ = 4096

x + 9 = ∛4096

x + 9 = 16

x = 7

Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

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Answer:

b = 26.62

Step-by-step explanation:

You are given 2 sides and one angle. So the best option is to use cosine law.

\(b^{2} = a^2 + c^2 - (2ac)cos\)θ

\(b^{2} = 26^2 + 11^2 - (2*26*11)cos30\)

\(b^{2} = 708.77\)

\(b = 26.62\)

Answer:

3880 ÷ 960 = 4.041

ratio = 4:1

1 is the largest multiplicity in the factored polynomial y = (x² - 1)(x+2)(x+4).

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given polynomial is y = (x² - 1)(x+2)(x+4)

These are in the form of factored polynomial.

We need to find largest multiplicity in the factored polynomial y = (x² - 1)(x+2)(x+4)

y = (x² - 1)(x+2)(x+4)

y=(x+1)(x-1)(x+2)(x+4)

(x+1)=0

x=-1

(x-1)=0

x=1

(x+2)=0

x=-2

(x+4)=0

x=-4

Hence, 1 is the largest multiplicity in the factored polynomial y = (x² - 1)(x+2)(x+4).

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Answer:

a) r(t) = (10, 5, -5) + (5, 5, 0)*t

b) (0, -5, -5)

Step-by-step explanation:

a) 2x + 4 -2y -5 = -3z -6

2x - 2y +3z +5 =0

(10, 5, -5)

(15, 10, -5)

(5, 5, 0)

r = (10, 5, -5) + (5, 5, 0)*t

b) The yz plane is given by the equation x = 0.

x = 0  in the vector equation of a straight line if and only if  t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.

Answer:

a = 13

b = 0

Step-by-step explanation:

Conjugate of -3 + 2i is -3 - 2i

(-3 + 2i) (-3 - 2i)

We need to expand:

9 + 6i + -6i + -4i^2

-4i^2 =(-4)(-1) = 4

9 + 4 = 13

a = 13

b = 0

Answer:

5

Step-by-step explanation:

The mean represents an average of all the numbers, so we have \(\frac{sum-of-all-numbers}{total-amount-of-numbers}\). Although that may seem confusing, it's actually pretty easy.

We have a total of five numbers, which are 1, 6, 2, 7, and 9.

We add these numbers up to find the sum, so 1 + 6 + 2 + 7 + 9 = 25

So our final answer will be \(\frac{25}{5}\) which can be simplified to 5.

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

x= -3

Step-by-step explanation:

\(\text{Hello there! :)}\)

\(\large\boxed{x = -3}\)

\(5x - 2 + x = -20\\\\\text{Combine like terms:}\\\\5x + x - 2 = -20\\\\6x - 2 = -20\\\\\text{Add 2 to both sides:}\\\\6x - 2 + 2 = -20 + 2\\\\6x = -18\\\\\text{Divide both sides by 6:}\\\\6x / 6 = -18/6\\\\x = -3\)

−5ab2+2ab+a+2

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