Math

Problem 501

Solve for the variable bb given the equation b+a=20b+a=20.

See Solution

Problem 502

Find the sum of 8,4228,422 and 4,7704,770.

See Solution

Problem 503

Solve for the value of aa in the equation 72=8(7+a)-72=8(-7+a).

See Solution

Problem 504

Find the value of (k61)211(k \cdot 61)-211 for k=6k=6.

See Solution

Problem 505

Solve for the value of ss in the equation s682=932s - 682 = 932.

See Solution

Problem 506

Find the most general antiderivative of the function f(x)=3ex+8sec2xf(x) = 3e^x + 8\sec^2 x. Answer: F(x)=3ex8tanx+CF(x) = 3e^x - 8\tan x + C.

See Solution

Problem 507

To win the LOTTO, you must correctly select 8 numbers from 46. The order does not matter. There are (468)\binom{46}{8} possible selections.

See Solution

Problem 508

Find the distances between the points P1=(4,3),P2=(0,11),P3=(5,2)P_1=(-4,-3), P_2=(0,11), P_3=(5,2) using the distance formula.

See Solution

Problem 509

Déterminer l'ensemble de définition de f(x)=2x2+x3f(x)=2x^2+x-3, f(x)=3x2x4f(x)=\frac{3x}{2x-4}, f(x)=x2+3x22xf(x)=\frac{x^2+3}{x^2-2x}, f(x)=x3x3f(x)=\frac{x^3}{|x|-3}.

See Solution

Problem 510

Find the five-number summary and interquartile range for the ages of 1111 physics teachers: 29,30,32,34,45,45,47,50,50,54,5529, 30, 32, 34, 45, 45, 47, 50, 50, 54, 55. Five-number summary: Minimum, Lower quartile, Median, Upper quartile, Maximum. Interquartile range.

See Solution

Problem 511

Find the cost of 3 dozen oranges if 6 oranges cost $1.

See Solution

Problem 512

Solve the linear equation 16x=7x16-x=7x for the unknown variable xx.

See Solution

Problem 513

Find the number of points xx a student needs to score on a 50-point test to get a 78% score. The proportion is x50=78100\frac{x}{50} = \frac{78}{100}.

See Solution

Problem 514

¿Cuál es la razón de cambio de yy con respecto a xx en la ecuación lineal y=5x+1y = -5x + 1?

See Solution

Problem 515

Find the value of xx that satisfies the linear equation 9x+82x=5x5+x9x + 8 - 2x = -5x - 5 + x, rounded to two decimal places.

See Solution

Problem 516

A rain gauge is 2/5 filled after 3/4 hours of rain. How much of the gauge will be filled after 15 more minutes of rain at the same rate? Explain why the division equation 3/4 ÷ 2/5 does not represent the situation, and write a multiplication and division equation that does.

See Solution

Problem 517

Evaluate 5xy+7x5xy + 7x when x=8,y=6x=8, y=-6.

See Solution

Problem 518

Find the missing operation in the equation 1?14=41 ? \frac{1}{4} = 4 to make it true.

See Solution

Problem 519

Solve for xx in the equation x=a2x+(a5)=(a+5)xx=a^{2}x+(a-5)=(a+5)x.
Find the indicated sets: (a) ACA \cup C, (b) ACA \cap C where A={1,2,3,4,5,6}A=\{1,2,3,4,5,6\}, B={2,4,6}B=\{2,4,6\}, and C={6,7,8,9,10}C=\{6,7,8,9,10\}.

See Solution

Problem 520

Solve the quadratic equation 12x23x72=0\frac{1}{2} x^{2}-3 x-\frac{7}{2}=0 for xx.

See Solution

Problem 521

Solve vw2+y=xvw^2 + y = x for ww. Given v=5,x=38,y=7v=5, x=38, y=-7, find ww.

See Solution

Problem 522

Write an expression for 3x+43x + 4 using words. Choose the correct phrase: the sum of three times a number and four.

See Solution

Problem 523

A wheel has 5 slices numbered 1 to 5, some grey and some white. Find P(X)P(X), the probability the wheel stops on a white slice, and P(not X)P(\text{not }X), the probability it stops on a non-white slice.

See Solution

Problem 524

Find the intersection of two sets C={3,9,7}C = \{3, 9, 7\} and D={4,5}D = \{4, 5\}.

See Solution

Problem 525

Find the probability that a randomly selected thermometer reading is less than 1.507-1.507 Celsius, given the readings are normally distributed with μ=0\mu = 0 Celsius and σ=1.00\sigma = 1.00 Celsius.

See Solution

Problem 526

Solve the equation 132x=741-\frac{3}{2x}=\frac{7}{4} and identify it as conditional, inconsistent, or identity.

See Solution

Problem 527

Find the solution set to the equation 3a+5=3a7|3a+5| = |3a-7|.

See Solution

Problem 528

Solve the equation 7ln(x)ln(x2)=17 \ln (x) - \ln (x^{2}) = 1 for the unknown variable xx.

See Solution

Problem 529

Find the product of the fractions (x2+x)/7(x^2 + x)/7 and 35/(xy+y)35/(xy + y).

See Solution

Problem 530

Solve the equation y3+3y2=4y+12y^{3} + 3y^{2} = 4y + 12.

See Solution

Problem 531

Find the equation for a number xx where 6 less than xx is 5.

See Solution

Problem 532

Graph the equation f(x)=5f(x) = -5 and find the slope.

See Solution

Problem 533

Calculate the office supplies expense for the year given the company purchased $250\$ 250 worth of supplies and had $75\$ 75 worth remaining.

See Solution

Problem 534

Find the value of kk that makes the vectors (2,6,4)(2,-6,4) and (1,k,2)(1, k,-2) collinear.

See Solution

Problem 535

Evaluate y=x21y = x^{2} - 1 for x=2,1,0,1,2x = -2, -1, 0, 1, 2. Plot the (x,y)(x, y) pairs and graph the function.

See Solution

Problem 536

Solve the linear equation 43u=18-\frac{4}{3} u=-18 for the unknown variable uu.

See Solution

Problem 537

Solve for y given the equation 9=y429=\frac{y}{4}-2.

See Solution

Problem 538

Solve the quadratic equation 0.0625x2=0.125x+1.50.0625 x^{2} = 0.125 x + 1.5 for the value of xx.

See Solution

Problem 539

Solve for xx where 5x3=3x1\frac{-5}{x-3}=\frac{-3}{x-1}.

See Solution

Problem 540

Kareem is deciding between two washing machines priced at $650\$ 650. The first is 40%40\% off, the second is 10%10\% off with an additional 30%30\% off. Find the sale price of each and explain why Kareem should buy the first.

See Solution

Problem 541

Matthew bought 3 kg3 \mathrm{~kg} of walnuts at $7.34/kg\$ 7.34/\mathrm{kg} and 5 kg5 \mathrm{~kg} of almonds at $6.87/kg\$ 6.87/\mathrm{kg}. He paid with a $100\$ 100 bill. What is his change?

See Solution

Problem 542

Find the better deal between 5-day pass at 275.60or3daypassat275.60 or 3-day pass at 174.75 for snowboarding.

See Solution

Problem 543

Compute the indefinite integrals with constant of integration CC: sin(t)dt\int -\sin(t) dt, cos(t)dt\int -\cos(t) dt.

See Solution

Problem 544

Find aa given b=12b=12 and c=11c=11 using the equation a=29bca=29-b-c.

See Solution

Problem 545

Create a compound inequality using digits 1-9 (at most once each) that is equivalent to 2x<42 \leq x < 4. Explain your solution.

See Solution

Problem 546

Find the integer solutions to the quadratic equation (n7)2=12(n-7)^{2} = 12.

See Solution

Problem 547

Simplify y74/y114y^{\frac{7}{4}} / y^{\frac{11}{4}} assuming positive variables. Express answer as AA or A/BA/B with positive exponents.

See Solution

Problem 548

Solve for yy using factoring or the quadratic formula: y26y+7=0y^{2} - 6y + 7 = 0

See Solution

Problem 549

Solve the quadratic equation x2+3=19x^{2} + 3 = 19 and select the correct solution(s).

See Solution

Problem 550

Find the value of the expression 0(1)0-(-1).

See Solution

Problem 551

Find the missing transaction amounts and account balances given a bank account's transaction history.
\begin{tabular}{|l|c|c|} \hline & transaction amount & account balance \\ \hline transaction 1 & 200 & 200 \\ \hline transaction 2 & -147 & 53 \\ \hline transaction 3 & 90 & \\ \hline transaction 4 & -229 & \\ \hline transaction 5 & & 0 \\ \hline \end{tabular}

See Solution

Problem 552

Evaluate f(1)f(-1) and solve f(x)=3f(x)=3 for the function f(x)=x+5f(x)=\sqrt{x+5}.

See Solution

Problem 553

Find the value of 3(1.5x+9)3(1.5 x + 9).

See Solution

Problem 554

Write an inequality to show the relationship between 2-2 and 5-5.

See Solution

Problem 555

Shipping company IPS charges $0.75\$ 0.75 per pound for parcels 7\leq 7 lbs, $2.25\$ 2.25 per pound for 7<x197 < x \leq 19 lbs, and $3.25\$ 3.25 per pound for x19x \geq 19 lbs. There is a $3\$ 3 flat fee and $5\$ 5 fee for x19x \geq 19 lbs. Find the cost to ship a 33 lb package.

See Solution

Problem 556

Find the area of the region between the lines y=xy=x and y=2xy=2\sqrt{x}. The area is 43\frac{4}{3}.

See Solution

Problem 557

Find all values of a0a_0 that satisfy the equation 2a15=7|2a-15| = 7.

See Solution

Problem 558

Solve the linear equation 6(a+3.9)=19.566(a + 3.9) = 19.56 using a different method. Show the steps.

See Solution

Problem 559

The price P(n)P(n) (in dollars) for nn grams of vitamins is P(n)=0.4n+6.6P(n) = 0.4n + 6.6. Find the inverse function P1(x)P^{-1}(x) and its value for x=8.8x = 8.8.
(a) The amount of vitamins (in grams) for a price of xx dollars. (b) P1(x)=(x6.6)/0.4P^{-1}(x) = (x - 6.6) / 0.4 (c) P1(8.8)=5.5P^{-1}(8.8) = 5.5

See Solution

Problem 560

Determine which of the following side lengths cannot represent a right triangle: 6,8,106,8,10; 7,24,257,24,25; 10,24,2610,24,26; 15,25,3515,25,35.

See Solution

Problem 561

Multiply the polynomials (4x+1)(4x+1) and (3x+5)(-3x+5).

See Solution

Problem 562

Calculate the value of x42\frac{x}{4}-2 when x=20x=20

See Solution

Problem 563

Simplify given expressions. Click "Cannot be simplified" if applicable. 2y552y=\frac{2y-5}{5-2y}=\square and 6+yy6=\frac{-6+y}{y-6}=\square

See Solution

Problem 564

Solve the linear equation 23ax+3=83x+9b\frac{2}{3} a x + 3 = \frac{8}{3} x + 9 b for constants aa and bb. Find the value of ab\frac{a}{b} if the equation has infinitely many solutions.

See Solution

Problem 565

Find the value of the variable MM in the formula M=P(1+i)nM=P(1+i)^{n} given that P=$240P=\$ 240, i=0.08i=0.08, and n=2n=2. (Round to the nearest cent as needed.)

See Solution

Problem 566

Find the value of kk that satisfies the equation k19=45k-19=45.

See Solution

Problem 567

If f(x)=6x+7f(x)=6x+7, find the value of \nabla when xx increases by 1 unit.

See Solution

Problem 568

Find the value of xx if 9=4x9 = 4x.

See Solution

Problem 569

Divide and simplify 156\frac{15}{6} divided by 113\frac{11}{3}.

See Solution

Problem 570

Solve the absolute value inequality x7>3|x-7|>3, which represents the set of all real numbers xx whose distance from 7 is greater than 3.

See Solution

Problem 571

Solve for the roots of 3x260x+741=03x^2 - 60x + 741 = 0 using the completing the square method.

See Solution

Problem 572

Solve for the value of xx in the linear equation x+11=18x+11=18.

See Solution

Problem 573

Find the values of xx where the equations y=x224y = x^2 - 24 and y=x12y = x - 12 intersect.

See Solution

Problem 574

Divide 2.38×1028.5×104\frac{2.38 \times 10^{-2}}{8.5 \times 10^{4}} and select the correct answer from the options: 2.8×1072.8 \times 10^{-7}, 2.7×1072.7 \times 10^{-7}, 3.9×1073.9 \times 10^{-7}, 5.7×1075.7 \times 10^{-7}.

See Solution

Problem 575

Find the last digit of 3333333^{333}.

See Solution

Problem 576

Describe the transformations of g(x)=xg(x) = |x| to get f(x)=2x3+5f(x) = -2|x-3| + 5. Find the domain and range of f(x)f(x).

See Solution

Problem 577

Simplify the expression x2+5x36x28x+16\frac{x^{2}+5 x-36}{x^{2}-8 x+16} and determine which of the following statements are true: 1) It could represent the difference of xx4\frac{x}{x-4} and 9x4\frac{-9}{x-4}. 2) It could represent the product of x+9(x4)2\frac{x+9}{(x-4)^{2}} and (x4)(x-4). 3) It could represent the sum of a2+5ax28x\frac{a^{2}+5 a}{x^{2}-8 x} and 3616\frac{-36}{16}. 4) It could represent the quotient of (x9)(x-9) and (x4)(x-4). 5) It is equivalent to the rational expression x+9x4\frac{x+9}{x-4}.

See Solution

Problem 578

Find the values of y that satisfy the equation y2=64y^{2}=64.

See Solution

Problem 579

Find P(E3)P(E_3) given P(E1)=P(E2)=P(E4)=P(E5)=0.1P(E_1) = P(E_2) = P(E_4) = P(E_5) = 0.1 and E1,E2,E3,E4,E5E_1, E_2, E_3, E_4, E_5 are mutually exclusive events.

See Solution

Problem 580

Solve the quadratic equation y22y=12y^2 - 2y = 12 by completing the square. Enter the solutions separated by commas, or "DNE" if no real solution exists.

See Solution

Problem 581

Solve 5.14x+2.25>15.15.14x + 2.25 > 15.1. Express the solution as a rational number in decimal form to the tenths place, with xx first.

See Solution

Problem 582

Find the value of csc1(23)\csc^{-1}\left(-\frac{2}{\sqrt{3}}\right). The correct answer is π3-\frac{\pi}{3}.

See Solution

Problem 583

Solve for ww in the equation 12=2w+5(w+8)12=2 w+5(w+8). Simplify the solution ww.

See Solution

Problem 584

Divide 15,050 by 20 using long division method. Simplify the result to the nearest integer.
\begin{array}{r} \phantom{0}752\phantom{.0}\\ 20 \overline{) 15,050}\\ \phantom{0}15\phantom{000}\\ \cline{1-2} \phantom{0}0\phantom{00}\\ \phantom{000}5\phantom{00}\\ \phantom{000}0\phantom{00}\\ \cline{2-3} \phantom{0000}50\phantom{0}\\ \phantom{0000}40\phantom{0}\\ \cline{3-4} \phantom{00000}10\phantom{0}\\ \phantom{00000}0\phantom{0}\\ \cline{4-5} \phantom{000000}50\\ \phantom{000000}50\\ \cline{5-6} \phantom{0000000}0\\ \end{array}

See Solution

Problem 585

Find the height of a pole using a 38-foot wire attached at a 14-degree angle to the ground. Round the height to the nearest tenth of a foot.
tan(14)=pole height38\tan(14^\circ) = \frac{\text{pole height}}{38}

See Solution

Problem 586

Convert 1111 meters to centimeters.

See Solution

Problem 587

Find the present value of a $33000\$ 33000 perpetuity with a 5% discount rate.

See Solution

Problem 588

Find the secant squared of the inverse cotangent of xx. Select the correct answer.

See Solution

Problem 589

Solve for pp using the square root property: (3p+2)2=8(3p+2)^2 = 8.

See Solution

Problem 590

Find the radius of a sphere with a surface area of 324πcm2324 \pi \mathrm{cm}^{2}, given the formula surface area=4πr2\text{surface area} = 4 \pi r^{2}, where rr is the radius. Round your answer to 1 decimal place.

See Solution

Problem 591

Solve for yy in the inequality 4x+3y124x + 3y \geq 12.

See Solution

Problem 592

Find the values of xx where the function f(x)=1(x3)(x4)f(x)=\frac{1}{(x-3)(x-4)} is not defined and discontinuous.

See Solution

Problem 593

Find the largest value of xx that satisfies the equation 4x=312x\frac{4}{x} = 3 - \frac{1}{2}x. (Answer: 2)

See Solution

Problem 594

Fertilizer boosts seed germination by 75%. Find probability that at most 4 out of 7 randomly selected seeds germinate.

See Solution

Problem 595

Evaluate g(4)g(4) for f(x)=5x23f(x)=5x^2-3 and g(x)=x+5g(x)=-x+5.

See Solution

Problem 596

Compute the product of 3×1053 \times 10^{5} and 7×1027 \times 10^{2}.

See Solution

Problem 597

Order the expressions using <, >, or = to compare (19)1\left(\frac{1}{9}\right)^{-1}, 929^{-2}, 919^{-1}, and (19)2\left(\frac{1}{9}\right)^{-2}.

See Solution

Problem 598

Solve for QQ and RR where RD\frac{R}{D} is a proper fraction with deg(R)<deg(D)\deg(R) < \deg(D). Also, evaluate t2+11t+24t+8\frac{t^{2}+11 t+24}{t+8}.

See Solution

Problem 599

Determine if the degree of the polynomial f(x)=(x2)(x4)(x+1)f(x) = (x-2)(x-4)(x+1) is odd, even, or neither.

See Solution

Problem 600

Compare the two 8s in the number 8,825.

See Solution
banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord