Change the complex number to polar form: a.) √7 - i√21

Q: Given the function C(r) = (r – 4)(r + 1)(r – 7) %3D its C-intercept is its r-intercepts are

A: Cr=r-4r+1r-7 To find C-intercept, put r=0 in the given equation, we get C0=0-40+10-7=28 Therefore C-...

Q: Enter a quadratic polynomial which has roots at 13/6 and -4.

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Q: If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the ...

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Q: Nearest hundredth

A: Given,           Chang borrowed $8000 at a rate of 9%, compounded quarterly for 5 years.

Q: What ate the prime factors of each denominator of the unit fractions that have terminating decimals?...

A: Writing the prime factors of each denominators of the fraction We have the fraction 1/2,  1/4, 1/5 ,...

Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. -3, 2-i

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Q: 1. Verify that each of the following statement is a false statement by finding a counterexample for ...

A: Consider the given function is, xx=1 The above equation is true for value of x>0 and x<0. But ...

Q: Find the value of k for which the quadratic equation  (k+4) x2+(k+1)x+1=0 has equal roots

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Q: Two welders working together can complete a job in 6 h. One of the welders working alone can complet...

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Q: The fifth, fifteenth, and fifthieth parts of a number together make 43. Find the number.

A: Let the number be x Then its fifth parts will be x5 fifteenth parts of the number will be x15 fiftie...

Q: Please help with the following math question: Are the following matrices invertible or not invertibl...

A: For a matrix to be invertible, the necessary and sufficient condition is to check it's determinant. ...

Q: Algebra Question

A: Note: As per bartleby guidelines for more than one question asked only first has to be answered plea...

Q: Last year, Kala had  $30,000  to invest. She invested some of it in an account that paid  8%  si...

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Q: please answer the foloowing questions thank you

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Q: A small motor on a fishing boat can move the boat at a rate of 10 mph in calm water. Traveling with ...

A: This is the question that is based on the concept of speed, distance and time. When the boat will mo...

Q: Five years hence, The age of jacob will be three times of his son , FIve years ago jacob's age was s...

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Q: Prove this identity between two infinite sums (with x ∈ R and n! stands for factorial):

A: Prove the identity: ∑n=0∞xnn!2=∑n=0∞(2x)nn!  

Q: A scientist mixes water (containing no salt) with a solution that contains  35%  salt. She wants t...

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Q: x+25%=584

A: Given equation is x+25%=584  Simplify both side of the equation x+(25/100)=584 x+(1/4)=584    

Q: Write an equation for the polynomial graphed below 54 4 21 -3 -2/-1 2 3 45 -5+ y(X) =

A: If graph opens and ends in same direction, degree is even. If the graph crosses the zero, multiplici...

Q: 30 Determines the value of 1+

A: Given,           ∑i=1301+13iWe know that,           The sum of geometric progression is goven by    ...

Q: Graph the line with y-intercept -8 and slope 8.

A: Given,           y-intercept=-8           Slope=8We know that,          The equation of slope interc...

Q: Write an equation for the polynomial graphed below 5+ 4 3 -5 -4-3 -2/-1 -1 2 3 4 5 -2- -3- -4 -5+ y(...

A: Given graph,  To find the equation of the graph. 

Q: The line passing through (-2, 3) and parallel to the x-axis

A: Given that the line passing through the point (-2, 3) and parallel to x-axis. Substitute x1,y1=-2,3 ...

Q: A store advertises men’s suit on sale at 20% off. The sale price was P76.What was the original price...

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Q: some french fries come in 5-lb bags. Today 1 1/2 bags of fries are available at the start of the shi...

A: Given, French fries bag available at the start of shift = 1.5  fries bag from the freezer = 3  Total...

Q: Find a formula for the quadratic function whose graph has y-intercept at y=11 and zeros at x=1 and x...

A: Given, y intercept at 11 So, the curve is passing through the points (0,11) Now the quadratic functi...

Q: At what interest rate (compounded weekly) should you invest if you would like to grow $3,830.77 to $...

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Q: Q5

A: Fund Amount after 11 years is $28265 If the fund earns interest at the rate of 5% compound semiannua...

Q: Find an equation of the line that passes through the point (4, 5) and is perpendicular to the line 2...

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Q: Nearest hundredth

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Q: 4. Given the following curve: r(t) = (2t, 4 sin(t), 4 cos(t)) answer the following: (a) Find the uni...

A: Given, r(t)=<2t,4sin(t),4cos(t)> Part a: We know that the tangent vector is, T(t)=r'(t)r'(t) D...

Q: What are the coordinates of point D? y •B 2 ([ ? ], [ ]) Go -2 -E 2 4. D Enter the number that belon...

A: The coordinates of D are (3,-4) 

Q: Evaluate F• dr for the curve. Discuss the orientation of the curve and its effect on the value of th...

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Q: Please solve

A: Since you have posted multiple questions as per our policy we will answer first question. Please rep...

Q: What is the slope of this line? 4

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Q: Find the difference quotient f(x+h)-f(x) where h+0, for the function below. f(x) = 3x²+4 Simplify yo...

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Q: Tom is three years older than his brother Tim. The sum of their ages is 79 How old will Tim be in fi...

A: Let present age of Tim = x Present age of Tom = x+3

Q: I signed a simple discount note 8500.00 the discount rate is 14% and the term of the note is 18 mont...

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Q: Q6

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Q: Arnett College predicts that in 18 years it will take $⁢350,000 to attend the college for four years...

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Q: You have invested money in a savings account that pays a fixed monthly interest on the account balan...

A: Given that, You have invested money in a savings account that pays a fixed monthly interest on the a...