Please Show Work! Perform The Indicated Operations For The Given Vectors 1. V = 8i +5j, W = 10i +25j. Find V · W. Find Z1 Z2 And Write The Product In Polar Form. 2. Z 1 = 20(Cos 89° + Isin 89°), Z 2 = 40(Cos 61° + Isin 61°) 3. Z 1 = -10√3 - 10i, Z 2 = -5 + 5 √3i Find The Indicated Complex Roots. Write The Results In Polar Form Using Degree Measure For The
please show work!
Perform the indicated operations for the given vectors
1. v = 8i +5j, w = 10i +25j. Find v · w.
Find z1 z2 and write the product in polar form.
2. z 1 = 20(cos 89° + isin 89°), z 2 = 40(cos 61° + isin 61°)
3. z 1 = -10√3 - 10i, z 2 = -5 + 5 √3i
Find the indicated complex roots. Write the results in polar form using degree measure for the argument.
4) The fifth roots of 2√3 - 2i

Answer:

  1 1/2 hours

Step-by-step explanation:

At the rate of 12 balloons in 1/4 hour, you want to know how long it will take Lauren to fill 72 balloons.

The number 72 balloons is 6 times 12 balloons. We are told Lauren can keep up the same rate of filling, so we expect filling 72 balloons will take 6 times the 1/4 hour it takes for 12 balloons.

  6 · (1/4 hour) = 6/4 hours = 3/2 hours = 1 1/2 hours

It will take Lauren 1 1/2 hours to fill 72 balloons.

__

Additional comment

As a decimal, that's 1.5 hours.

If you need an equation, you could write ...

  t/72 = (1/4)/12 . . . . . time/balloons is a constant

Multiplying by 72 gives ...

  t = 72(1/4)/12 = (72/12)·(1/4) = 6(1/4) = 6/4 . . . . as above

Answer:

143. Divide 91/7 = 13, then take the number of oil changes per day and times it by 11. 13 x 11 = 143.

Step-by-step explanation:

Answer:

113.75

Step-by-step explanation:

Since 11 days is only 4 days away from 11, divide 91 / 4 = 22.75. Add this number to 91 to get the answer.

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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Answer:

120/25 = 4.8

Step-by-step explanation:

To set up the equation you would do this-

\(\frac{4.8}{1} =\frac{x}{25} \\\)

Then cross multiply (multiply 4.8 by 25 and x by 1)

\(4.8(25) = x(1)\\120 = x\)

It will take Mindy 1 week tο save $150.

The slοpe οf a line is the measure οf its steepness, defined as the ratiο οf the vertical change (rise) οver the hοrizοntal change (run) between any twο pοints οn the line.

Part A:

Tο create a graph that can be used tο mοdel the number οf dοllars Mindy saves in x weeks, we can use a linear equatiοn in slοpe-intercept fοrm:

y = mx + b

where y is the tοtal amοunt saved after x weeks, m is the slοpe (the cοnstant rate at which Mindy saves mοney), and b is the initial amοunt saved (which is 0 in this case).

Using the infοrmatiοn given, we can find the slοpe οf the line as fοllοws:

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

m = ($900 - $0) / (6 weeks - 0 weeks)

m = $150 per week

Sο the equatiοn fοr the line is:

y = $150x

We can graph this line by plοtting the pοints (0,0) and (6, $900), and then drawing a straight line cοnnecting them.

Part B:

The slοpe οf the line represents the cοnstant rate at which Mindy saves mοney each week. In this case, the slοpe is $150 per week, which means that Mindy is saving $150 every week.

Part C:

Tο use the line tο predict the number οf weeks it will take Mindy tο save $150, we can plug in the value fοr y (which is $150) intο the equatiοn and sοlve fοr x:

$150 = $150x

x = 1

Sο it will take Mindy 1 week tο save $150.

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Answer:

6/5 or 1 1/5

Step-by-step explanation:

Make a common denominator: 1/2 is equal to 5/10

7/10+5/10=12/10

12/10 simplified is 6/5

Answer:

67%

Step-by-step explanation:

If you take the 365 days in a year and divide that by the 246 sunny days, you should get the number 0.67397260274, rounded to 67%.e

The value of y-intercept is 490.

This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept. The key message is (0, y).

A straight line's Y intercept is simply the point at which the line intersects the Y axis. The line crosses the Y axis at 1 in the diagram above. The point is denoted by and the Y intercept is equal to 1. (0,1). Keep in mind that the point's x-coordinate is always zero for the y-intercept.

2x + 3y = 1,470

3y = 1470 – 2x

y = 1470/3 – 2/3x

y = 490 – 2/3x

y = -2/3 * x + 490

the slope is -2/3

and y intercept is 490

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It's volume is 3175 cm.

The correlation coefficient is -0.29.

Correlation refers to a process for establishing whether or not relationships exist between two given variables.

In statistics, correlation coefficients are used to quantify the strength of the association between two variables. Like Pearson's correlation, which is frequently employed in linear regression, there are other varieties of correlation coefficients. It is widely used in statistics and is highly well-liked.

X      Y        X²          Y²           XY

0       8        0           64            8

1        11        1            121           11

3       10       9           100          30

4        13       16         169          52

7        10       49         100         70

10       6        100       36           60

∑X = 25

∑Y = 58

∑X² = 175

∑Y²= 590

∑XY= 231

r = N×∑XY−(∑X∑Y) / √[N∑x2−(∑x)2][N∑y2−(∑y)2]

Putting all the values,

r = 6*231 - (25*58) / √(6*175-625)(6*590-3364)

r = 1368 - 1450 / √(425)(176)

r = -82/ √ 74800

r = -82/ 273.49

r= -0.29

Therefore, the correlation coefficient is -0.29.

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The value of the definite integral of f(x) over the interval [10, 12] is approximately 1.899.

To integrate f(x) = 1² - √x over the interval [10, 12], we can use the definite integral formula:

∫[a,b] f(x) dx = [F(b) - F(a)]

where;

First, let's find the antiderivative of f(x):

∫(1² - √x) dx = ∫1 dx - ∫√x dx

= \(x - \frac{2}{3} x^{3/2} + C\)

where;

Now, we can evaluate the definite integral over [10, 12]:

[F(12) - F(10)] = [(12 - (2/3)(12)^(3/2)) - (10 - (2/3)(10)^(3/2))]

= [12 - (2/3)(12)^(3/2) - 10 + (2/3)(10)^(3/2)]

≈ 1.899

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The complete question is below:

integrate f(x) = 1² - √x, over the interval [10, 12].

Note Receivable account is decreased by Br. 900.00c. Interest income account is increased by Br. 12.002. Entry for deposit in transit:a. Cash in Bank account is increased by Br. 1,852.213. Entry for outstanding checks:a. Increase Accounts Payable account by Br. 3,265.274. Entry for Bank service charges:a. Bank Charges account is increased by Br. 8.20

The bank reconciliation statement of XYZ Company for the month of April is shown below:Balance per Bank Statement at April 30, 2021Br. 10,443.11Add:Deposit in TransitBr. 1,852.21Note collected by bankBr. 912.00Total AdditionsBr. 2,764.21Deduct:Outstanding ChecksBr. 3,265.27Bank ErrorBr. 18.00Total DeductionsBr. 3,283.27Adjusted Bank BalanceBr. 9,924.05Balance per booksBr. 9,941.45Add:Error in recording the checkBr. 90.00Total AdditionsBr. 90.00Deduct:Outstanding ChecksBr. 3,265.27Total DeductionsBr. 3,265.27Adjusted Book BalanceBr. 6,766.18Journal Entries:1. Entry for the Bank collection of note:a. Cash in Bank account is increased by Br. 912.00b.. T the above entries should be recorded by XYZ Company.

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The congruence theorem that can be used as the reasons why ΔABC ≅ ΔUVW, is the LA congruence theorem, which is the option, A

A. LA

The LA congruence theorem states that if the leg and one acute angle in a right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the two triangles are congruent.

The details in the diagram are;

Triangle ΔABC and triangle ΔUVW are right triangles.

The angle ∠BAC and ∠VUW are right angles, and therefore; ∠BAC ≅ ∠VUW

The acute angle ∠ACB in the triangle ΔABC is congruent to the acute angle ∠UWV in the triangle ΔUVW

The segment AC in triangle ΔABC is congruent to the segment UW in triangle ΔUVW

The information obtained from the diagram are therefore one acute angle and one side in the right triangle ΔABC are congruent to one ane acute angle and a side in the triangle ΔUVW, which indicates that the triangles are congruent by the LA congruence theorem

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

To get from the number of eggs used to make a certain number of cookies to the number of eggs needed to make some other number of cookies, you would use a proportional relationship.

Let's say x represents the number of eggs used to make a certain number of cookies, y represents the number of cookies made, and z represents the number of eggs needed to make some other number of cookies.

Then, we can set up the proportion:

x eggs / y cookies = z eggs / (some other number of cookies)

We can then solve for z by cross-multiplying:

z eggs = x eggs * (some other number of cookies) / y cookies

This formula tells us how many eggs are needed to make the specified number of cookies, based on the number of eggs used and the number of cookies originally made.

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The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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9514 1404 393

Answer:

  x = {-0.2, 6.2}

Step-by-step explanation:

The values that go into the quadratic formula are a = 1, b = -6, c = -1.

  \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-6)\pm\sqrt{(-6)^2-4(1)(-1)}}{2(1)}\\\\=\dfrac{6\pm\sqrt{40}}{2}=3\pm\sqrt{10}\\\\\boxed{x\in\{-0.2,\ 6.2\}}\)

Answer:

2540

Step-by-step explanation:

25% is a quarter of 100% so if 635 is 25% you multiple 635 x 4 to get your final answer concluding in 2540. if i'm wrong let someone else correct me :b

Answer:

- 12

Step-by-step explanation:

- 3(xy - x³) ← substitute x = - 1 , y = - 3 into the expression

= - 3((- 1)(- 3) - (- 1)³ )

= - 3(3 - (- 1))

= - 3(3 + 1)

= - 3 × 4

= - 12

A term that describes a numerical value measuring the likelihood of an uncertain event is - a probability.

A probability is a numerical value that measures the likelihood of an uncertain event occurring.

It ranges from 0 (impossible event) to 1 (certain event), with values in between representing the varying degrees of likelihood.

To calculate the probability of an event, you can divide the number of favorable outcomes by the total number of possible outcomes in a given scenario.

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Answer:

.75

Step-by-step explanation:

Answer:

slope is Δy/Δx =

-5/1 = -5

the B intercept is 4

y = -5x + 4

Step-by-step explanation:

The amplitude of the particle's motion is A.

The expression for the particle's velocity can be found by taking the time derivative of x with respect to t:

v = \(dx/dt = 3A(w sin(wt))^2\) \(cos(wt)c)\)

The expression for the particle's acceleration can be found by taking the time derivative of v with respect to t:

\(a = dv/dt = -3A(w^2 sin^2(wt) - 2w^2 sin^4(wt)) sin(wt) - 6A(w sin(wt))^3\) \(cos(wt)\)

a) The amplitude of the particle's motion is the maximum displacement from its equilibrium position, which can be found by taking the absolute value of the maximum value of x. In this case, the maximum value of x is A, so the amplitude of the particle's motion is A.

b) The expression for the particle's velocity can be found by taking the time derivative of x with respect to t:

v = \(dx/dt = 3A(w sin(wt))^2\) \(cos(wt)c)\) The expression for the particle's acceleration can be found by taking the time derivative of v with respect to t:

\(a = dv/dt = -3A(w^2 sin^2(wt) - 2w^2 sin^4(wt)) sin(wt) - 6A(w sin(wt))^3\) \(cos(wt)\)

Simplifying this expression gives:

\(a = -3Aw^2 sin(wt) [1 - 2sin^2(wt)] - 6Aw^3 sin^3(wt) cos(wt)\)

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The amplitude of the particle's motion is A, the expression for the particle's velocity is v = 3Awcos(wt) * w, and the expression for the particle's acceleration is a = -3Aw^2sin(wt).

These expressions describe the behavior of the particle in terms of its position, velocity, and acceleration as a function of time.

a) The amplitude of the particle's motion can be determined from the equation x = Asin^3(wt). In this equation, A represents the amplitude. Therefore, the amplitude of the particle's motion is A.

b) To find the expression for the particle's velocity, we need to differentiate the equation x = Asin^3(wt) with respect to time. Taking the derivative, we get:

v = d/dt (Asin^3(wt))

Using the chain rule and the derivative of sine function, we can simplify the expression as follows:

v = 3Awcos(wt) * w

Therefore, the expression for the particle's velocity is v = 3Awcos(wt) * w.

c) To find the expression for the particle's acceleration, we need to differentiate the velocity equation with respect to time. Taking the derivative, we get:

a = d/dt (3Awcos(wt) * w)

Using the chain rule and the derivative of cosine function, we can simplify the expression as follows:

a = -3Aw^2sin(wt)

Therefore, the expression for the particle's acceleration is a = -3Aw^2sin(wt).

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The value of a in the equation (3x869)+(19x528)+428(3)(1049)=a is 1359555

From the question, the equation to evaluate is given as

(3x869)+(19x528)+428(3)(1049)=a

Rewrite the above equation to make it legible

So, we have the following equation

(3 x 869) + (19 x 528) + 428(3)(1049) = a

Evaluate the products in the expression

So, we have the following equation

2607 + (19 x 528) + 428(3)(1049) = a

Evaluate the other products in the expression

So, we have

2607 + 10032 + 428(3)(1049) = a

Remove the brackets in the equation

So, we have the following equation

2607 + 10032 + 1346916 = a

Evaluate the sum

1359555 = a

Rewrite as

a = 1359555

Hence, the solution to the equation is 1359555

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To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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Answer:

45/22

Step-by-step explanation:

(a/b)/(c/d) = (a*d)/(b*c)

then

{(5/8)/(11/9)} / {1/4)}

= {(5*9)/(8*11)} / {1/4)

= {45/88} / {1/4}

= {45*4} / {88*1}

= 180/88

= 45 / 22

Answer:

this is simple... 1 3/4

Step-by-step explanation:

Answer:

1 3/4 is greater

Step-by-step explanation:

1 2/4 = 1 1/2 = 150%

1 3/4 = 175%

Answer:

80.

............................

The cost of each package of egg noodles is $2.24. The answer is option A.

To find the cost of each package of egg noodles, you need to divide the total cost by the number of packages. In this case, there are three packages and the total cost is $6.72. Therefore, we need to divide $6.72 by 3 to find the cost of each package of egg noodles. Now, let us solve the problem step by step.Step 1: Identify the given valuesTotal cost of three packages of egg noodles = $6.72Step 2: Identify what you are looking for Cost of each package of egg noodlesStep 3: Set up the equationLet x be the cost of each package of egg noodles. Since there are three packages of egg noodles and their total cost is $6.72, we can write:3x = $6.72Step 4: Solve the equation Divide both sides of the equation by 3:x = $6.72 ÷ 3x = $2.24Step 5: Check your answernTo check your answer, substitute $2.24 for x in the original equation:3($2.24) = $6.72The left side simplifies to $6.72, which is equal to the right side. Therefore, $2.24 our answer is correct.

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