Multiply the following and express your answer in appropriate scientific notation:  (5.2×10^1)×(4.2×10^-12)

Q: Simplify. 20. (a² – 8a – 26) ÷ (a + 2) 21 (b3 – 4b2 + b – 2) ÷ (b + 1) -

A: a2-8a-26a+2   a=-2 1 0 -8 -2 -26 20   1 -10 -6 Remainder…

Q: An investor has ​$10500 to invest in either a bond that matures in 6 years or a business that will…

A: given : Initial Investment, P = $10500                                      Rate, r = 7% => 0.07…

Q: Solve In z + In(x – 2) = 5. Round your answer to the nearest hundredth. Check for extraneous…

A: Law of logarithm:ln A+ ln B =ln (AB)ln(x)+ln(x-2)=5ln(x(x-2)) =5x(x-2) =e5x2-2x-e5=0

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A: Given query is to find the base of the exponential function and the rate of decay.

Q: -3 3 7 1 3 Let A -1 3 9 3 1 -5 3 5 -1 4/ ases for the row space and column space of A. Hence find…

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Q: The following information is given for an arithmetic series ai = 9, a13 = 105 Find S13

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Q: Write the given iterated integral as an iterated integral with the order of integration…

A: Given    0≤x≤3y0≤y≤3x=3yy=x3

Q: still confused on the steps. please clarify.

A: It would help if you mention on which step you are confused. You may also share screenshot of the…

Q: (a) The union of two subgroups of a group (G, *) is a subgroup of G. (a) The intersection of two…

A: 1) The union of two subgroups of a group <G, *> is a subgroup of G.  2) The intersection of…

Q: . Prove that the vector length is preserved by orthogonal matrix multiplication. That is , if x ER'…

A: We have to prove the lemma.

Q: Suppose that the functions g and h are defined for all real numbers x as follows g (x) =x+3 h (x)…

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Q: урes. De 2. In a survey of 260 college students, the following data were obtained: 64 had taken a…

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Q: Evaluate the double integral. dA,

A: Here we have to evaluate the given double integral.  I=∫∫D7yx2-y2 dA    D=(x,y)| 0≤x≤3, 0≤y≤x

Q: Determine the truth value of the statement and prove it on a sheet of paper: D = set of integers %3D…

A: Solution of the problem as follows

Q: 5x^2-360=-60x

A: Topic:- algebra

Q: Consider the following. Slick Slack is a downloadable app that can be used to automatically generate…

A: Here we will find the marginal change,

Q: 3 Find the exponential function y = ab² whose graph passes through the points 3, and 64 (2, 48). y =…

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Q: A concrete pillar has the shape of a cylinder. It has a radius of 4 meters and a height of 9 meters.…

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Q: 40 ft ladder is leaning against a wall making a 48 degree angle with the ground. Draw a diagram…

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Q: Let T : P3 → P3 be the linear transformation satisfying T(1) = 4x? + 4, T(x)= 2x – 2, T(x²) = 2a² +…

A: Use linear property of transformation.

Q: Determine whether the function is a linear transformation. T: R2 - R2, T(x, y) = (x, 6) O linear…

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Q: 1. Write an expression equal to log;(6) using only base-2 logarithms (i.e. log;). 2. Write an…

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Q: Calculate the compound amount. Use the compound amount formula and a calculator. (Round your answer…

A: Compound

Q: 230 Find AB or BA, whichever is possible.

A: Given  problem:-

Q: If f(x) = x - 1 and g(x) = x³, what is (g ° f)(8)? Enter the correct answer.

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Q: f(x)=x-x+44x–150 3 2 Express f (x) as a product of linear factors. s(x) = D %3D

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Q: 10 4 L00-80 -60-40 -20 20 40 60 80 10 -2 -8- +10+ Find the slope of the line. Slope m = Enter your…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not…

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Q: The purchase price of a condominium is $121,000. A down payment of 24% is made. The bank charges…

A: The purchase price of a condominium is $121,000. A downpayment of 24% is made. The bank charges $725…

Q: In circle H with the measure of minor are GJ= 30°, find mZGKJ. H

A: Given;  arc(GJ)=30°

Q: n matrices with real entries. Let f : M2.2(R) → M2.2(R) be Let Mn.n(R) denote the vector space of n…

A: f:M2,2ℝ→M2,2ℝ be the function defined by f(A)=AT for any A∈M2,2ℝ.

Q: 22. 23. 24. S2 13 21 81 12 20 80 11 19 Graduated cylinders #22-24 were mL. measuring increments of

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Q: log base 2 x - log base 2 11 = 3 b) log base 10 25 + log base 10 4 = x c) log 3x2 -

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Q: 6x2 = 21x %3D

A: Given :

Q: State whether the matrix is diagonalizable or not. 0 0 7 0 O diagonalizable O not diagonalizable

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Q: Write an expression, of the type A log(x + B), for the transformed logarithmic function shown below:…

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Q: 18. ENERGY Light-emitting diode (LED) bulbs reduce energy waste. The average daily reduction in the…

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Q: Directions: On a separate sheet of paper, solve the system of linear equations shown in the upper…

A: Linear equations: A mathematical statement with an equal sign (=)  between the algebraic expression…

Q: Use the function to find the image of v and the preimage of w. T(Vg, V2) = (V1 + Vz V1 - v2), v =…

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Q: Calculate the simple interest earned. Round to the nearest cent. P = $3100, r = 5.9%, t = 6 months

A: To calculate the simple interest earned.P=$3100, r=5.9%, t=6 months

Q: Susan needs $4029 for a future project. She can invest $3000 now at an annual rate of 7%, compounded…

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Q: Let f(x) = x2 − 1 and g(x) = 4x − 2. Find the value, if possible. (f + g)(−3) (f + g)(−3) =

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Q: Consider the following. 12 3 -4 P = 5. A = -1 -1 -1 (a) Verify that A is diagonalizable by computing…

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Q: Solve the following inequality. 2х-7 >1 x-2

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Q: A group of friends wants to go to the amusement park. They have no more than $225 to spend on…

A: Given problem:- A group of friends wants to go to the amusement park. They have no more than $225 to…

Q: 8. If the length of this parallelogram is 12 cm long and the width is 8cm long. how long is its…

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Q: Question 2 2 10 Let A = -1 0 1 1 3 1 2.1 Find the eigenvalues of A. 2.2 Find bases for the…

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Q: The table and scatter plot show the average monthly temperature, x, and a family's monthly heating…

A: We have to find the observed and the predicted monthly heating cost from the table and the curve…

Q: For Lyla: a. State which formula should be used to solve this problem. b. Write the function for…

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Q: Springfield's population in 2019 was 213803 people and is projected to grow at a rate of 0.73% each…

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