Answer:
720
Step-by-step explanation:
To solve a problem like this, you do: !6
This basically means 6*5*4*3*2*1
6*5 = 30
30*4=120
120*3=360
360*2=720
720*1=720
(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!
Answer:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Step-by-step explanation:
1)
Given the expression
[tex]10!\times \:20![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]
[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
Now, multiplying the result
[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
so
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
Thus, we conclude that:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
2)
Given the expression
[tex]17!\:\times \:9![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]
[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
Now, multiplying the result
[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
so
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Thus, we conclude that:
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
which statement is true regarding the functions on the graph?
Answer:
f(3)=g(3)
Step-by-step explanation:
the only one i see is that
f(3)=g(3)
because the two functions intersect there
that means the two values are the same
a line passes through the points (1, 4) and (3, –4). which is the slope of the line?
stupid thin wont load
25 points question is below
Answer:
x - 5y = 30
Step-by-step explanation:
If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway
solve by using elimination 2x-6y=18 -2x + 4y = -6 ( , )
Answer:
x = -9,
y = -6
Step-by-step explanation:
2x - 6y =18
-2x + 4y = -6
you can add the equations together as is and eliminate x
-2y = 12
y = -6
then plug back in,
2x - 6(-6) = 18
2x + 36 = 18
2x = -18
x= -9
Which symbol will make the number sentence true?
Answer:
<
Step-by-step explanation:
8/11=0.72727272727272727272727272 just repeated over and over again so its less
Answer:
b
Step-by-step explanation:
f(x) = x2. What is g(x)?
how do you find a slope
Answer:
rise/run
Step-by-step explanation:
rise meaning the y value, run meaning the x value
I don’t know the answer
I believe the answer would be yes. Since your dealing with Ratios it would be simple to understand that they are proportional. I'll explain a little better.
This means that if you double this ratio, it will still be equivalent to 1:3
1:3
This is also proportional because this number will always be equivalent to itself.
7:21
-----------------------------------------------------------------------------------------------------------------Hope this helps
-Miri
Find the original price of a pair of shoes if the sale price is $63 after a 30% discount.
Answer:
$90
Step-by-step explanation:
To find the original price, divide 63 by 0.7:
63/0.7
= 90
So, the original price is $90
Answer:
$90.00
Step-by-step explanation:
First of all let x be the price of the pair of shoes that you are trying to find.
next since we have 30percent off that price we have
x - 0.30x = 0.70x
which in turn is equal to 63 dollars
so our expression is
0.70x = $63
x = 63 / 0.70
= $ 90.00
What is the temperature if it is 9° colder than 15 F
Answer:
24 Degrees Farinhieght.
Step-by-step explanation:
15 degrees farinhieght added to 9 is 24 degrees.
I save 100 a month to go to Tokyo and rent a hotel
Which costs 1,391 for a flight and 34 for a hotel
What is the constant rate of proportionality?
Answer:
the c.o.p is 14.25
Step-by-step explanation:
in a box of sweets 7/10 of the sweets are red the rest are purple. what is the ratio of red sweets?
Answer:7:3
Step-by-step explanation:
Is each graph a function or not?
Answer:
IN THIS ORDER
NO
NO
YES
YES
NO
YES
Step-by-step explanation:
Hope this helped if I got it wrong, sorry ill edit it if I did :)
Evaluate the function.
g(x)=10x+3
g(19.6)=
Answer:
199
Step-by-step explanation:
plug in x=19.6, then
g(19.6) = 10 * 19.6 +3= 199
What is the equation of the line that has a slope of -3 and passes through the point (-2, 4)?
O y = -3x - 2
y=-3x
ООО
y=-3x - 4
y = -3x + 4
O y=-3x + 2
Which diagram demonstrates the problem 3x 1/4
Answer:
A.
Step-by-step explanation:
3 * 1/4 = 3/4
Which answer shades 3 out of 4 blocks? A.
Answer:
the answer is A
Step-by-step explanation:
3 * (1/4) = .75.... Think about how many quarters make a dollar .75 cents is 3/4 of a dollar
ANSWER ASAP ITS FOR FINALS
Name Geometry B Final ID: 1 Date Period Name the relationship: complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior, 1) 2) the 3) 4) # Find the measure of angle b 6) 5)
Answer:
9. 66°
10. 44°
11. [tex]2\sqrt{7}[/tex]
12. [tex]2\sqrt{3}[/tex]
13. 27.3
14. 33.9
15. 22°
16. 24°
Step-by-step explanation:
9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:
120 + 80 = 200
360 - 200 = 160
12(5) + 6 = 66°
19(5) - 1 = 94°
94 + 66 = 160
10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:
68 x 2 = 136
180 - 136 = 44
11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a = [tex]\sqrt{28}[/tex]
a = [tex]2\sqrt{7}[/tex]
12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:
a² + b² = c²
a² + 2² = 4²
a² + 4 = 16
a² = 12
a = [tex]\sqrt{12}[/tex]
a = [tex]2\sqrt{3}[/tex]
13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:
Sin(47°) = [tex]\frac{20}{x}[/tex]
x = 27.3
14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:
Tan(62°) = [tex]\frac{x}{18}[/tex]
x = 33.9
15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:
cos(θ) = 52/56
θ = cos^-1 (0.93)
θ = 22°
16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:
sin(θ) = 4/10
θ = sin^-1 (0.4)
θ = 24°
Good luck!!
what is 2 + 2= i need to know
Answer:
4 but what 1x1
Step-by-step explanation:
Based only on the information given in the diagram, it is guaranteed that
AJKL ~ AWXY.
27°
A
63"
A. True
B. False
Answer:
True
Step-by-step explanation:
Given
In JKL, we have:
[tex]\angle J = 27[/tex]
[tex]\angle K = 90[/tex]
In WXY, we have:
[tex]\angle Y = 63[/tex]
[tex]\angle X = 90[/tex]
Required
Is JKL ~ WXY?
In both triangles, we already have one similar angle (90)
Next, is to determine the third angles in both triangles.
In JKL
[tex]\angle J + \angle K + \angle L = 180[/tex]
We have that:
[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]
The expression becomes:
[tex]27 + 90 + \angle L = 180[/tex]
[tex]117 + \angle L = 180[/tex]
[tex]\angle L = 180-117[/tex]
[tex]\angle L = 63[/tex]
In WXY
[tex]\angle W + \angle X + \angle Y = 180[/tex]
We have that:
[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]
The expression becomes:
[tex]\angle W + 63 + 90 = 180[/tex]
[tex]\angle W + 153 = 180[/tex]
[tex]\angle W = 180-153[/tex]
[tex]\angle W = 27[/tex]
The three angles in JKL are:
[tex]\angle J = 27[/tex] [tex]\angle K = 90[/tex] [tex]\angle L = 63[/tex]
The three angles in WXY are:
[tex]\angle W = 27[/tex] [tex]\angle X = 90[/tex] [tex]\angle Y = 63[/tex]
By comparing the angles, we can conclude that both triangles are similar because of AAA postulate (Angle-Angle-Angle)
A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?
Answer:
12.75
Step-by-step explanation:
If you make a proportion: 48/1=612/x
1(612)= 612
612/48
12.75 hours
At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.
What is the distance?A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.
A car is traveling at a rate of 48 miles per hour.
To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:
⇒ distance ÷ rate
⇒ 612 miles / 48 miles/hour
Apply the division operation, and we get
⇒ 12.75 hours
Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.
Learn more about the distance here:
brainly.com/question/13269893
#SPJ2
each package of paper contains 100 sheets. At the beginning of the school year, each of Mr.Castillo 's 34 students brought in one package of paper. How many sheets of paper did the students bring in altogether??
Answer:
3400
Step-by-step explanation:
Just multiply 100 by 34.
write an equation of a line that is perpendicular to given line that passes through the given point 5y+2x=-15 T(5,-5)
Step-by-step explanation:
The answer is on the bottom if you just wanna scroll down.
The first thing that you would want to do is turn the equation of the given line into slope-intercept form (it's just easier). To do that, you would want to isolate y on either side. So subtract 2x and divide both sides by 5 and you get: y=-2/5x-3. After you do this, remember that perpendicular lines have the negative reciprical slope of the original line. So since the slope is -2/5, the slope of a perpendicular line would be 5/2. Now you have m=5/2 which is your slope! Now you can use slope point form which is y-y_1=m(x-x_1). You know your m which is 5/2. y-y_1=5/2(x-x_1). Since we know that the line passes through the point (5,-5) we can just plug the numbers in. y-(-5)=5/2(x-5). simplify everything: y+5=5/2(x-5). Remember, math is all about making things simple and easy. since the problem didn't say a specific type of equation, you can just put that as your answer!
Answer:
y+5=5/2(x-5)
Hope this helps! (If it's wrong, plz leave sum comments. thx lol)
What is the value of −|−20| + |−8| ÷ |−4| − |6|?
Factor x3 + 2x2 + x completely.
Answer:
[tex] {x}^{3} + 2 {x}^{2} + x[/tex]
[tex]x(x {}^{2} + 2x + 1)[/tex]
[tex]x(x + 1) {}(x + 1)[/tex]
[tex]x(x + 1) {}^{2} [/tex]
Answer:
C. x(x+1)2 on edu 2021
Step-by-step explanation:
Find the slope of the line represented by the table
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
The price of admission to the Everglades Historical Museum is $11 more for non-members than for members of the museum’s Friends of the Museum program.
If a group of 3 members and 4 non-members pays a total of $79 to visit the Museum, what is the cost, in dollars, of the ticket for one non-member?
Select one:
A. $9.00
B. $11.00
C. $15.00
D. $16.00
Answer:
d. $16.
Step-by-step explanation:
3 members (m) + 4 nonmembers (n) = $79
nonmembers = $11 more or n=m+11 so...
3m + 4(m+11)=79 [replace "n" with "m+11"]
3m + 4m + 44=79
7m + 44 = 79
7m=35 and reduced m=5 so members pay $5 and nonmembers pay 5+11=$16
Tim is clearing brush from a large piece of land. The table shows how many acres he has cleared over time. Tim clears the same amount of brush each day.
Complete the table to determine how many days it will take Tim to clear 1 acre and how many acres Tim will clear in 8 days.
Use the drop down menus to select your answers.
Answer:
first box is 3 and second is 2 2/3
pages in a book are numbered from 1 to 1001. How many times does the number 0 appear?
Answer:
192 times
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75
76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 - 11 times
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125
126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150
151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175
176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 - 31 times
201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225
226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250
251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275
276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 - 51 times
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325
326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350
351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375
376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 - 71 times
401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425
426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450
451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475
476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 - 91 times
501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525
526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550
551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575
576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 - 111 times
601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625
626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650
651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675
676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 - 131 times
701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725
726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750
751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775
776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 - 151 times
801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825
826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850
851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875
876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 - 171 times
901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925
926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950
951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975
976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 - 192 times
x2+2x+3 factorization
Answer:
Not possible
Step-by-step explanation:
Given quadratic polynomial = x² + 2x + 3.
Possible factors of 3 are , 1 & 3 .
And we can get 2 from 3 and 1 in only one way that is 3 - 1 .
=> x² + 2x + 3 .
=> x² + 3x - x + 3 .
=> x ( x + 3 ) - 1 ( x - 3 )
Hence the factorisation is not possible .