Simplify

Problem 2601

Calculate: $-1.75 - \frac{22}{20} =$

See Solution

Problem 2602

Simplify: $6y - 4(4z - 3y) + 2z$

See Solution

Problem 2603

Calculate the expression: $12 \times(3+2)^{2} \div 2-10$ .

See Solution

Problem 2604

Calculate $12 \times (3 + 2^{2}) \div 2 - 10$ .

See Solution

Problem 2605

Calculate the expression: $-11 + 4(3 + 1) + 3(5 - 9) + 7(6 - 8) + 25 =$

See Solution

Problem 2606

Calculate the expression: $-11 + 16 - 12 - 14 + 25$ .

See Solution

Problem 2607

Calculate the value of $\frac{1}{1+97}$ .

See Solution

Problem 2608

Calculate the value of $7 + 2 \cdot 4$ .

See Solution

Problem 2609

Calculate the result of $8 \div 4 \times 2$ .

See Solution

Problem 2610

Calculate the value of $3 \cdot(5+1) \div 3^{2}$ .

See Solution

Problem 2611

Find the slope and y-intercept of the line $-2x + y = 0$ for $x \geq 0$ , or rewrite it as $y = mx + b$ .

See Solution

Problem 2612

An 8-oz coffee has 19 mg more caffeine than an energy drink with 79 mg. How much caffeine is in the coffee?

See Solution

Problem 2613

Evaluate the sum and express it as $a + bi$ : $(6 - 7i) + (-5 - 5i)$

See Solution

Problem 2614

Simplify $(3+4 i)(9-5 i)$ . Options: $27+20 i$ , $27-20 i$ , $4-3 i$ , $47+21 i$ , $47-21 i$ .

See Solution

Problem 2615

Evaluate the product and express it as $a + bi$ : simplify $-4(9 - 2i)$ .

See Solution

Problem 2616

Simplify the expression: $5 g^{4} h^{-6} \cdot 3 f^{0} g h^{2}$ .

See Solution

Problem 2617

Evaluate the expression: $1.1-0.9 i \frac{3-i}{6+4 i} \times \frac{7}{26}-\frac{9 i}{26}$ .

See Solution

Problem 2618

Find the quotient and express it as $a + bi$ : $\frac{3 - i}{4 + 3i}$ .

See Solution

Problem 2619

Simplify $\left(\frac{5}{8}\right)^{2}$ .

See Solution

Problem 2620

Factor the expression $64 - x^{2}$ completely over the integers.

See Solution

Problem 2621

Simplify the expression: $\frac{x^{2}-1}{x^{2}-6x+5}$ .

See Solution

Problem 2622

Simplify $x^{-7}$ to use only positive exponents.

See Solution

Problem 2623

Simplify $15 c^{-8} d^{0}$ using only positive exponents.

See Solution

Problem 2624

Simplify $\frac{z^{8} \cdot z^{2}}{z^{5}}$ and express the result with positive exponents only.

See Solution

Problem 2625

Simplify $\left(\frac{2 x^{-2} y^{3}}{3 x y^{-4}}\right)^{4}$ using positive exponents and evaluate numerical powers.

See Solution

Problem 2626

Substitute $x=6$ , $y=8$ , and $z=3$ into the expression $5x - (y + 2z)$ . What is the result?

See Solution

Problem 2627

Simplify: $8 + 2 \times 7$

See Solution

Problem 2628

Calculate the expression: $3 + 2 \cdot 5 - 4$ .

See Solution

Problem 2629

Calculate $9 \cdot 3 + 2 \cdot 5$ .

See Solution

Problem 2630

Calculate $5(2+4)+15 \div(9-6)$ .

See Solution

Problem 2631

Rewrite $\sec (t) \cos (t)$ using $\sin t$ and $\cos t$ , then simplify if possible.

See Solution

Problem 2632

Rewrite $(\csc a)(\tan a)$ using $\sin a$ and $\cos a$ , then simplify if possible.

See Solution

Problem 2633

Rewrite $\frac{\csc (t)}{\cot (t)}$ using $\sin t$ and $\cos t$ , then simplify if possible.

See Solution

Problem 2634

Calculate the value of $\frac{28.927}{34.1}$ .

See Solution

Problem 2635

Express $\sin (\theta) \cdot \cos (\theta) \cdot \cot (\theta)$ using $\sin t$ and $\cos t$ , then simplify.

See Solution

Problem 2636

Calculate $\frac{28.927}{6.72 \times 0.848}$ .

See Solution

Problem 2637

Express and simplify: $\sin (\theta) \cdot \cos ^{2}(\theta) \cdot \tan (\theta) \cdot \cot (\theta) \cdot \sec (\theta) \cdot \csc (\theta)=$

See Solution

Problem 2638

Rewrite $\sin x \cdot \cot x + \cos x$ using $\sin x$ and $\cos x$ , then simplify.

See Solution

Problem 2639

Rewrite and simplify $\cos x^{*} \cot x + \sin x$ using $\sin x$ and $\cos x$ .

See Solution

Problem 2640

Simplify $\frac{1}{\cos x} - \cos x =$

See Solution

Problem 2641

Rewrite $\cos x^{2} \cot x + \sin x$ using $\sin x$ and $\cos x$ , then simplify.

See Solution

Problem 2642

Multiply the polynomials $(x-4)(2x-3)$ and express the result in standard form.

See Solution

Problem 2643

Express $\sin(t) \sec(t)$ using $\sin t$ and $\cos t$ , then simplify.

See Solution

Problem 2644

Simplify the expression $\frac{x^{2}-3 x-28}{x^{2}-16}$ .

See Solution

Problem 2645

Multiply the polynomials and write your answer in standard form: $(4)(5)(3 + 5)$

See Solution

Problem 2646

Multiply (2 cos x + 1)(3 cos x - 1)

See Solution

Problem 2647

Factor out the greatest common factor from $4 \cot x + 20$ .

See Solution

Problem 2648

Factor $\tan^{2} x + 9 \tan x + 20$ .

See Solution

Problem 2649

Simplify $(\cos x+\sin x)^{2}$ .

See Solution

Problem 2650

Factor the expression $25 - x^{2}$ completely over the integers.

See Solution

Problem 2651

Factor the expression $4 - \sin^2 \theta$ completely over the integers.

See Solution

Problem 2652

Multiply and simplify: $\frac{5}{22} \cdot \frac{5}{8} \cdot \frac{2}{25}$ .

See Solution

Problem 2653

Simplify $\sqrt{4-x^{2}}$ using the substitution $x=2 \sin \theta$ .

See Solution

Problem 2654

Simplify: $\frac{x-3}{x^{2}-9}$ . Note: $x \neq 3$ and $x \neq -3$ .

See Solution

Problem 2655

Calculate: $-\frac{2}{3}+\frac{3}{5} \times 1 \frac{5}{8}-\frac{3}{5}$ .

See Solution

Problem 2656

Simplify the expression by substituting exact values: $(2 \cos(60^{\circ}))^{2}$ and provide the exact answer.

See Solution

Problem 2657

Simplify these expressions using exact values: a) $\frac{\tan(60^{\circ})}{\tan(45^{\circ})$ b) $\sin(30^{\circ}) \cos(60^{\circ}) - \cos(30^{\circ}) \sin(60^{\circ})$ c) $\sin^{2}(45^{\circ}) - 2\sin(45^{\circ})\cos(45^{\circ}) + \cos^{2}(45^{\circ})$ d) $\tan^{2}(60^{\circ}) - \tan^{2}(45^{\circ})$

See Solution

Problem 2658

Simplify: $80 \div 2^{3} \times 5$

See Solution

Problem 2659

Simplify the expression: $80 \div 2^{3} \times 5$ . List the steps.

See Solution

Problem 2660

Calculate $3(15-9)^{2}+2 \cdot 5$ .

See Solution

Problem 2661

Which expression simplifies to 4? $-12+8$ , $5-9$ , $\sqrt{16}$ , or $\sqrt{8}$ ?

See Solution

Problem 2662

Calculate the value of $\frac{10-6 \times 2+8}{(4-7)^{2}-3(4+8)}$ .

See Solution

Problem 2663

Simplify the following expressions and show your work (2 points each):
19. $1000^{\frac{2}{3}}$ ,
22. $125^{\frac{2}{3}}$ ,
25. $(-16)^{\frac{3}{2}}$ ,
20. $9^{\frac{5}{2}}$ ,
23. $25^{\frac{3}{2}}$ ,
26. $-125^{\frac{2}{3}}$ ,
18. $(-343)^{\frac{4}{3}}$ ,
21. $64^{\frac{3}{2}}$ ,
24. $16^{\frac{3}{2}}$ ,
27. $36^{\frac{3}{2}}$ .

See Solution

Problem 2664

Calculate $1000^{\frac{2}{3}}$ .

See Solution

Problem 2665

Calculate $125^{\frac{2}{3}}$ .

See Solution

Problem 2666

Calculate the expression $-49 / (-9 - -2)$ .

See Solution

Problem 2667

Calculate $-49 / (-9 - -2)$ .

See Solution

Problem 2668

Calculate the value of $\frac{3^{4} \cdot 2^{-3} \cdot 5^{2} \cdot 2^{-3}}{5 \cdot(-3)^{-2} \cdot 3 \cdot(-3)^{3}}$ .

See Solution

Problem 2669

Convert the complex number $\frac{3+i}{1+2 i}$ to standard form $(a+b i)$ .

See Solution

Problem 2670

Simplify: $4 - \left[\left(4b^{3} - 25b^{2} + 14b - 2\right) \div (4b - 1)\right] - \square b^{2} + b$

See Solution

Problem 2671

What is the first step to simplify $11 x - 2 - 3(1 - 7 x)^{2} - (x + 1)$ ?

See Solution

Problem 2672

What is the equation for the graph of $f(x)=x^{2}-6$ after reflecting it across the $x$ -axis?

See Solution

Problem 2673

Simplify the expression using the distributive property: $\frac{1}{6}\left(\frac{3}{5} x+18\right)$ .

See Solution

Problem 2674

Future Amount $=[30](1+0.20)$

See Solution

Problem 2675

Calculate the Future Amount using $=30(1+0.20)^{3}$ . Evaluate the expression inside the parentheses first.

See Solution

Problem 2676

Calculate $3.2 - (-5.7)$ . What is the result?

See Solution

Problem 2677

Rewrite the function $f(x)=\frac{1}{x-3}+1$ into standard polynomial form.

See Solution

Problem 2678

Simplify the expression: $\frac{15 x+36}{\frac{2}{x+2}+\frac{3}{x+3}}$ ?

See Solution

Problem 2679

Find an equivalent expression for $-3(y-4)$ . A. $-3 y-4$ B. $-3 y+4$ C. $-3 y-12$ D. $-3 y+12$

See Solution

Problem 2680

Find the value of $(-1)^{-1}$ .

See Solution

Problem 2681

Express the following ratios as simplified fractions: 1) 15 cents to 18 cents, 2) 9 inches to 3 feet, 3) 5 weeks to 22 days.

See Solution

Problem 2682

Simplify: $(\sqrt{100}-8)^{3} \cdot 5$

See Solution

Problem 2683

Rewrite the equation $4(10+5)=6(12-2)$ using the distributive property. Choose the correct option.

See Solution

Problem 2684

Simplify these ratios and find unit rates: 1) 7 goals in 35 attempts 2) 7 quarters from 21 coins 3) $\$ 177$ for 4 tickets 4) 118.2 miles in 8.6 hours

See Solution

Problem 2685

Write the inequality $x \geq 5$ in interval notation.

See Solution

Problem 2686

Calculate $6 \times 3(10+8)$ .

See Solution

Problem 2687

Calculate $6 \times 3(10+8)$ .

See Solution

Problem 2688

Simplify the expression $\sqrt{130}$ .

See Solution

Problem 2689

Calculate the expression: $(8 + 20 \div 10) + 36 \div 4 + 3$ .

See Solution

Problem 2690

Calculate the expression: $10(15 \div 5 + 6) + 9$ .

See Solution

Problem 2691

Simplify the expression: $(4 x^{3}-12 x^{2})+(7 x-21)$ .

See Solution

Problem 2692

Simplify the expression: $-5 \sqrt{4 u v^{5}} \cdot 3 \sqrt{12 u^{12} v^{7}}$ .

See Solution

Problem 2693

Calculate the product of $\sqrt{8}$ and $\sqrt{98}$ .

See Solution

Problem 2694

Simplify the expression: $3 \sqrt{6}(2 \sqrt{3}+\sqrt{6})$ .

See Solution

Problem 2695

Calculate $\sqrt{400} + \sqrt{100} - \sqrt{900}$ .

See Solution

Problem 2696

Add $\sqrt{8 x^{4} y^{4}} + \sqrt{12 x^{4} y^{4}}$ .

See Solution

Problem 2697

2. complete the square. b) $\quad 4 x^{2}-10 x+3$

See Solution

Problem 2698

Question 4 of 18 Step 1 of 1 00:55:38
Find the equation of the line in slope-intercept form that passes through the following points. Simplify your answer. $(-2,10) \text { and }(-1,8)$

See Solution

Problem 2699

Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.
Point $(-10,-3) ;$ Slope $=3$

See Solution

Problem 2700

$\left(2 y^{4}\right)^{3}\left(5 y^{6}\right)^{2}$

See Solution

1 ...24 25 26 27 28 29 30 ...56

Simplify

Problem 2601

Calculate: −1.75−2220=-1.75 - \frac{22}{20} = −1.75−2022​=

Problem 2602

Simplify: 6y−4(4z−3y)+2z6y - 4(4z - 3y) + 2z6y−4(4z−3y)+2z

Problem 2603

Calculate the expression: 12×(3+2)2÷2−1012 \times(3+2)^{2} \div 2-1012×(3+2)2÷2−10.

Problem 2604

Calculate 12×(3+22)÷2−1012 \times (3 + 2^{2}) \div 2 - 1012×(3+22)÷2−10.

Problem 2605

Calculate the expression: −11+4(3+1)+3(5−9)+7(6−8)+25=-11 + 4(3 + 1) + 3(5 - 9) + 7(6 - 8) + 25 = −11+4(3+1)+3(5−9)+7(6−8)+25=

Problem 2606

Calculate the expression: −11+16−12−14+25-11 + 16 - 12 - 14 + 25−11+16−12−14+25.

Problem 2607

Calculate the value of 11+97\frac{1}{1+97}1+971​.

Problem 2608

Calculate the value of 7+2⋅47 + 2 \cdot 47+2⋅4.

Problem 2609

Calculate the result of 8÷4×28 \div 4 \times 28÷4×2.

Problem 2610

Calculate the value of 3⋅(5+1)÷323 \cdot(5+1) \div 3^{2}3⋅(5+1)÷32.

Problem 2611

Find the slope and y-intercept of the line −2x+y=0-2x + y = 0−2x+y=0 for x≥0x \geq 0x≥0, or rewrite it as y=mx+by = mx + by=mx+b.

Problem 2612

An 8-oz coffee has 19 mg more caffeine than an energy drink with 79 mg. How much caffeine is in the coffee?

Problem 2613

Evaluate the sum and express it as a+bia + bia+bi: (6−7i)+(−5−5i)(6 - 7i) + (-5 - 5i)(6−7i)+(−5−5i)

Problem 2614

Simplify (3+4i)(9−5i)(3+4 i)(9-5 i)(3+4i)(9−5i). Options: 27+20i27+20 i27+20i, 27−20i27-20 i27−20i, 4−3i4-3 i4−3i, 47+21i47+21 i47+21i, 47−21i47-21 i47−21i.

Problem 2615

Evaluate the product and express it as a+bia + bia+bi: simplify −4(9−2i)-4(9 - 2i)−4(9−2i).

Problem 2616

Simplify the expression: 5g4h−6⋅3f0gh25 g^{4} h^{-6} \cdot 3 f^{0} g h^{2}5g4h−6⋅3f0gh2.

Problem 2617

Evaluate the expression: 1.1−0.9i3−i6+4i×726−9i261.1-0.9 i \frac{3-i}{6+4 i} \times \frac{7}{26}-\frac{9 i}{26}1.1−0.9i6+4i3−i​×267​−269i​.

Problem 2618

Find the quotient and express it as a+bia + bia+bi: 3−i4+3i\frac{3 - i}{4 + 3i}4+3i3−i​.

Problem 2619

Simplify (58)2\left(\frac{5}{8}\right)^{2}(85​)2.

Problem 2620

Factor the expression 64−x264 - x^{2}64−x2 completely over the integers.

Problem 2621

Simplify the expression: x2−1x2−6x+5\frac{x^{2}-1}{x^{2}-6x+5}x2−6x+5x2−1​.

Problem 2622

Simplify x−7x^{-7}x−7 to use only positive exponents.

Problem 2623

Simplify 15c−8d015 c^{-8} d^{0}15c−8d0 using only positive exponents.

Problem 2624

Simplify z8⋅z2z5\frac{z^{8} \cdot z^{2}}{z^{5}}z5z8⋅z2​ and express the result with positive exponents only.

Problem 2625

Simplify (2x−2y33xy−4)4\left(\frac{2 x^{-2} y^{3}}{3 x y^{-4}}\right)^{4}(3xy−42x−2y3​)4 using positive exponents and evaluate numerical powers.

Problem 2626

Substitute x=6x=6x=6, y=8y=8y=8, and z=3z=3z=3 into the expression 5x−(y+2z)5x - (y + 2z)5x−(y+2z). What is the result?

Problem 2627

Simplify: 8+2×78 + 2 \times 78+2×7

Problem 2628

Calculate the expression: 3+2⋅5−43 + 2 \cdot 5 - 43+2⋅5−4.

Problem 2629

Calculate 9⋅3+2⋅59 \cdot 3 + 2 \cdot 59⋅3+2⋅5.

Problem 2630

Calculate 5(2+4)+15÷(9−6)5(2+4)+15 \div(9-6)5(2+4)+15÷(9−6).

Problem 2631

Rewrite sec⁡(t)cos⁡(t)\sec (t) \cos (t)sec(t)cos(t) using sin⁡t\sin tsint and cos⁡t\cos tcost, then simplify if possible.

Problem 2632

Rewrite (csc⁡a)(tan⁡a)(\csc a)(\tan a)(csca)(tana) using sin⁡a\sin asina and cos⁡a\cos acosa, then simplify if possible.

Problem 2633

Rewrite csc⁡(t)cot⁡(t)\frac{\csc (t)}{\cot (t)}cot(t)csc(t)​ using sin⁡t\sin tsint and cos⁡t\cos tcost, then simplify if possible.

Problem 2634

Calculate the value of 28.92734.1\frac{28.927}{34.1}34.128.927​.

Problem 2635

Express sin⁡(θ)⋅cos⁡(θ)⋅cot⁡(θ)\sin (\theta) \cdot \cos (\theta) \cdot \cot (\theta)sin(θ)⋅cos(θ)⋅cot(θ) using sin⁡t\sin tsint and cos⁡t\cos tcost, then simplify.

Problem 2636

Calculate 28.9276.72×0.848\frac{28.927}{6.72 \times 0.848}6.72×0.84828.927​.

Problem 2637

Express and simplify: sin⁡(θ)⋅cos⁡2(θ)⋅tan⁡(θ)⋅cot⁡(θ)⋅sec⁡(θ)⋅csc⁡(θ)=\sin (\theta) \cdot \cos ^{2}(\theta) \cdot \tan (\theta) \cdot \cot (\theta) \cdot \sec (\theta) \cdot \csc (\theta)=sin(θ)⋅cos2(θ)⋅tan(θ)⋅cot(θ)⋅sec(θ)⋅csc(θ)=

Problem 2638

Rewrite sin⁡x⋅cot⁡x+cos⁡x\sin x \cdot \cot x + \cos xsinx⋅cotx+cosx using sin⁡x\sin xsinx and cos⁡x\cos xcosx, then simplify.

Problem 2639

Rewrite and simplify cos⁡x∗cot⁡x+sin⁡x\cos x^{*} \cot x + \sin xcosx∗cotx+sinx using sin⁡x\sin xsinx and cos⁡x\cos xcosx.

Problem 2640

Calculate: $-1.75 - \frac{22}{20} =$

Simplify: $6y - 4(4z - 3y) + 2z$

Calculate the expression: $12 \times(3+2)^{2} \div 2-10$ .

Calculate $12 \times (3 + 2^{2}) \div 2 - 10$ .

Calculate the expression: $-11 + 4(3 + 1) + 3(5 - 9) + 7(6 - 8) + 25 =$

Calculate the expression: $-11 + 16 - 12 - 14 + 25$ .

Calculate the value of $\frac{1}{1+97}$ .

Calculate the value of $7 + 2 \cdot 4$ .

Calculate the result of $8 \div 4 \times 2$ .

Calculate the value of $3 \cdot(5+1) \div 3^{2}$ .

Find the slope and y-intercept of the line $-2x + y = 0$ for $x \geq 0$ , or rewrite it as $y = mx + b$ .

Evaluate the sum and express it as $a + bi$ : $(6 - 7i) + (-5 - 5i)$

Simplify $(3+4 i)(9-5 i)$ . Options: $27+20 i$ , $27-20 i$ , $4-3 i$ , $47+21 i$ , $47-21 i$ .

Evaluate the product and express it as $a + bi$ : simplify $-4(9 - 2i)$ .

Simplify the expression: $5 g^{4} h^{-6} \cdot 3 f^{0} g h^{2}$ .

Evaluate the expression: $1.1-0.9 i \frac{3-i}{6+4 i} \times \frac{7}{26}-\frac{9 i}{26}$ .

Find the quotient and express it as $a + bi$ : $\frac{3 - i}{4 + 3i}$ .

Simplify $\left(\frac{5}{8}\right)^{2}$ .

Factor the expression $64 - x^{2}$ completely over the integers.

Simplify the expression: $\frac{x^{2}-1}{x^{2}-6x+5}$ .

Simplify $x^{-7}$ to use only positive exponents.

Simplify $15 c^{-8} d^{0}$ using only positive exponents.

Simplify $\frac{z^{8} \cdot z^{2}}{z^{5}}$ and express the result with positive exponents only.

Simplify $\left(\frac{2 x^{-2} y^{3}}{3 x y^{-4}}\right)^{4}$ using positive exponents and evaluate numerical powers.

Substitute $x=6$ , $y=8$ , and $z=3$ into the expression $5x - (y + 2z)$ . What is the result?

Simplify: $8 + 2 \times 7$

Calculate the expression: $3 + 2 \cdot 5 - 4$ .

Calculate $9 \cdot 3 + 2 \cdot 5$ .

Calculate $5(2+4)+15 \div(9-6)$ .

Rewrite $\sec (t) \cos (t)$ using $\sin t$ and $\cos t$ , then simplify if possible.

Rewrite $(\csc a)(\tan a)$ using $\sin a$ and $\cos a$ , then simplify if possible.

Rewrite $\frac{\csc (t)}{\cot (t)}$ using $\sin t$ and $\cos t$ , then simplify if possible.

Calculate the value of $\frac{28.927}{34.1}$ .

Express $\sin (\theta) \cdot \cos (\theta) \cdot \cot (\theta)$ using $\sin t$ and $\cos t$ , then simplify.

Calculate $\frac{28.927}{6.72 \times 0.848}$ .

Express and simplify: $\sin (\theta) \cdot \cos ^{2}(\theta) \cdot \tan (\theta) \cdot \cot (\theta) \cdot \sec (\theta) \cdot \csc (\theta)=$

Rewrite $\sin x \cdot \cot x + \cos x$ using $\sin x$ and $\cos x$ , then simplify.

Rewrite and simplify $\cos x^{*} \cot x + \sin x$ using $\sin x$ and $\cos x$ .

Simplify $\frac{1}{\cos x} - \cos x =$

Rewrite $\cos x^{2} \cot x + \sin x$ using $\sin x$ and $\cos x$ , then simplify.

Multiply the polynomials $(x-4)(2x-3)$ and express the result in standard form.

Express $\sin(t) \sec(t)$ using $\sin t$ and $\cos t$ , then simplify.

Simplify the expression $\frac{x^{2}-3 x-28}{x^{2}-16}$ .

Multiply the polynomials and write your answer in standard form: $(4)(5)(3 + 5)$

Factor out the greatest common factor from $4 \cot x + 20$ .

Factor $\tan^{2} x + 9 \tan x + 20$ .

Simplify $(\cos x+\sin x)^{2}$ .

Factor the expression $25 - x^{2}$ completely over the integers.

Factor the expression $4 - \sin^2 \theta$ completely over the integers.

Multiply and simplify: $\frac{5}{22} \cdot \frac{5}{8} \cdot \frac{2}{25}$ .

Simplify $\sqrt{4-x^{2}}$ using the substitution $x=2 \sin \theta$ .

Simplify: $\frac{x-3}{x^{2}-9}$ . Note: $x \neq 3$ and $x \neq -3$ .

Calculate: $-\frac{2}{3}+\frac{3}{5} \times 1 \frac{5}{8}-\frac{3}{5}$ .

Simplify the expression by substituting exact values: $(2 \cos(60^{\circ}))^{2}$ and provide the exact answer.

Simplify: $80 \div 2^{3} \times 5$

Simplify the expression: $80 \div 2^{3} \times 5$ . List the steps.

Calculate $3(15-9)^{2}+2 \cdot 5$ .

Which expression simplifies to 4? $-12+8$ , $5-9$ , $\sqrt{16}$ , or $\sqrt{8}$ ?

Calculate the value of $\frac{10-6 \times 2+8}{(4-7)^{2}-3(4+8)}$ .

Calculate $1000^{\frac{2}{3}}$ .

Calculate $125^{\frac{2}{3}}$ .

Calculate the expression $-49 / (-9 - -2)$ .

Calculate $-49 / (-9 - -2)$ .

Calculate the value of $\frac{3^{4} \cdot 2^{-3} \cdot 5^{2} \cdot 2^{-3}}{5 \cdot(-3)^{-2} \cdot 3 \cdot(-3)^{3}}$ .

Convert the complex number $\frac{3+i}{1+2 i}$ to standard form $(a+b i)$ .

Simplify: $4 - \left[\left(4b^{3} - 25b^{2} + 14b - 2\right) \div (4b - 1)\right] - \square b^{2} + b$

What is the first step to simplify $11 x - 2 - 3(1 - 7 x)^{2} - (x + 1)$ ?

What is the equation for the graph of $f(x)=x^{2}-6$ after reflecting it across the $x$ -axis?

Simplify the expression using the distributive property: $\frac{1}{6}\left(\frac{3}{5} x+18\right)$ .

Future Amount $=[30](1+0.20)$