The function g(x) will be given as g(x) = – ∛(x – 1). Then the correct option is D.
The complete question is attached below.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
The function f(x) is given below.
f(x) = ∛x
Then the function of the g(x) will be
g(x) = – ∛(x – 1)
Then the correct option is D.
More about the transformation of geometry link is given below.
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What is 15% out of 55????
Answer:
8.25
Step-by-step explanation:
55=100%
x=15%
100x=55*15
100x=825
x=8.25
or
15/100*55
0.15*55
8.25
18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B
Step-by-step explanation:
tan0=opp/adj
where opposite =3,adjacent =x,=70
tan 70=3/x
2.7474=3/x
2.7474x=3
divide both sides by 2.7474
x=3/2.7474
x=1.0919
x=1.10 to 1 d.p
please help!! The picture has the question.
Answer:
B.
Step-by-step explanation:
They are used to the climate and they are harder the the rest.
Answer:
dry climate or
Step-by-step explanation:
they are in wet climate
pls help on area of circle
Answer:
153.86
Step-by-step explanation:
The area of a circle is \(\pi r^2\). So, \(\pi (7)^2 = (3.14)(49) = 153.86\)
What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
simplified form for 2x(y+3)-4xy?
Answer:
-2xy+6x
Step-by-step explanation:
WILL MARK BRANILIEST PLZ HELP
Type the correct answer in the box. Use numerals instead of words, and round your answer to the nearest whole number.
Meghan flipped a quarter and rolled a standard six-sided die.
The probability that the coin landed on heads and the die landed on an even number is __%.
Answer:
25%
Step-by-step explanation:
Multiply the two probabilities.
P(heads)*P(even) = 1/2*1/2 = 1/4
1/4 = 25%
related information for 30 employees at Gamma Technologies, Inc. These data include each selected employee’s gender (0 = male, 1 = female), age, number of years of relevant work experience prior to employment at Gamma, number of years of employment at Gamma, the number of years of post-secondary education, and annual salary. Create a scatter plot to show the relationship between prior experience and annual salary. What does the scatter plot reveal about the relationship?
Answer:
Kindly check attached picture
Step-by-step explanation:
Data:
Prior experience :
5
12
0
2
5
9
6
11
12
0
5
9
1
0
5
3
12
3
11
10
8
1
0
6
7
0
8
13
7
0
Annual salary:
37500
50912
29356
27750
97844
48442
40207
42331
87489
26118
40025
88763
35829
17784
54199
36932
93279
22100
49987
85471
52220
36109
23105
39455
49861
30327
31008
90874
57966
16500
Using the data above, the scatter plot obyaoon using statistical software is attached below, from the line of best fit, the regression equation which models the relationship between the two variables is ŷ = 4003.257X + 25172.868.
The trend of the best fit line shows a positive correlation between prior experience and annual salary. The correlation Coefficient value which shows the strength of the association gives a value of 0.7225 ; hence, depicting a strong positive correlation.
Noah is going to see a movie and is taking his 2 kids. Each movie ticket costs $14 and there are an assortment of snacks available to purchase for $3 each. How much total money would Noah have to pay for his family if he were to buy 4 snacks for everybody to share? How much would Noah have to pay if he bought x snacks for everybody to share?
Cost for 4 snacks:
Cost for x snacks:
TwT
Answer: Cost for 4 snacks : 42 + 3(4) = 54
Cost for X snacks : 42 + 3x
Help please please please
Answer:
They often use up other resources native organsinsms need.
Step-by-step explanation:
By doing so they can end up killing native organsinsms.
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.please help !! find the missing sides
please report my account
please
and I got a new rank
I am sad because I am genius in another id
it's good to get a new rank
like you seems to be genius in another id be genius In this id too
its not a misfortune to be sad
Answer:
it is good
Step-by-step explanation:
you dont have to be sad
In the triangles below, mzB = m2P and mZT = MZJ.
Ý
N
What is the length of JN?
327
0 67
07
O 12
Answer:
The answer is B(6 2/3)
semoga membantu
8188.8
A new washing machine used 3½ gallons of water per full load to clean clothes. If Sam
washed 3% loads of clothes, how many gallons of water would be used?
X=
Enter the number that belongs in the green box.
72 degrees
When the transversal cuts through, the angles are now the same (I forgot the term).
I am pretty sure this is the answer! Correct me if I'm wrong!!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
help me out with this question
We have to calculate the probability of having at least 7 defects in a 26 sq ft metal sheet.
The number of defects is modeled by a Poisson distribution with an average umber of defects of 4 defects per 16 sq ft.
We can write the parameter rate as:
\(r=\frac{4\text{ defects}}{16\text{ sq ft}}=0.25\text{ defect per sq ft}\)Then, we have to calculate the probability of having at least 7 defects in a 26 sq ft metal sheet.
The probability can be calculated as:
\(P(k\ge7)=1-P(k<7)=1-\sum ^6_{k=0}P(k)\)The parameter, average number of defects, for this metal sheet can be calculated as:
\(r\cdot S=\frac{0.25\text{ defects}}{\text{sqft}}\cdot26\text{ sqft}=6.5\text{ defects}\)Then, we can calculate all the probabilities from k=0 to k=6 as:
\(\begin{gathered} P(0)=6.5^0\cdot e^{-6.5}/0!=1*0.0015/1=0.002 \\ P(1)=6.5^1\cdot e^{-6.5}/1!=6.5*0.0015/1=0.01 \\ P(2)=6.5^2\cdot e^{-6.5}/2!=42.25*0.0015/2=0.032 \\ P(3)=6.5^3\cdot e^{-6.5}/3!=274.625*0.0015/6=0.069 \\ P(4)=6.5^4\cdot e^{-6.5}/4!=1785.0625*0.0015/24=0.112 \\ P(5)=6.5^5\cdot e^{-6.5}/5!=11602.9063*0.0015/120=0.145 \\ P(6)=6.5^6\cdot e^{-6.5}/6!=75418.8906*0.0015/720=0.157 \end{gathered}\)Then, we can calculate:
\(\begin{gathered} P(x\ge7)=1-P(x<7) \\ P(x\ge7)=1-(0.002+0.01+0.032+0.069+0.112+0.145+0.157) \\ P(x\ge7)=1-0.525 \\ P(x\ge7)=0.475 \end{gathered}\)The probability of having 7 or more defects in the 26 sq ft metal sheet is 0.475.
What is the volume of the fish tank if the base is 4 feet, the width is 2 feet, and
the height is 3 feet? Be sure to label your units.
Answer:
24 ft³
Step-by-step explanation:
The volume formula for a rectangular prism is ...
V = LWH
V = (4 ft)(2 ft)(3 ft) = 24 ft³
The volume of the fish tank is 24 cubic feet.
Solve the problems.
The number a is less than the number b by (1)/(5) of b. By what part of a is b greater than a ?
Answer:
B is greater than A by 1/4 of A
Step-by-step explanation:
Let's use the information given in the problem to write expressions for the values of a and b:
a = b - (1/5)b = (4/5)b
b is greater than a by the difference:
b - a = b - (4/5)b = (1/5)b
To express this difference as a fraction of a, we divide by a:
(b - a)/a = ((1/5)b)/((4/5)b) = 1/4
Therefore, b is greater than a by 1/4 of a.
Jim ate two slices of pizza, which is 25% of the pizza. How many slices were in the whole pizza?Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey
There were 8 slices in the whole pizza.
How many slices were in the whole pizza if Jim ate two slices?An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =. Let us assume the number of slices in the whole pizza is "x".
Since Jim ate two slices which is 25% of the pizza, we will set up the equation:
2 = 0.25x
To solve for "x":
2 / 0.25 = x
x = 8.
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Find the product of the binomials.
(a +1) and (a -1)
Answer:
a^2-1
Step-by-step explanation:
(a+1)(a-1)
=a^2-1
please help me lol
Fat and ATP are different molecules that can both be described as molecules that store energy. Compare the functions of these molecules in terms of energy storage.
ATP molecules are made when where there is an excess amount of energy, while fat molecules are used immediately.
ATP molecules are used for long-term storage, while fat is used for immediate energy.
Fat molecules are stable and can be stored for a long time, while ATP is not.
Fat molecules are unstable and can be stored short-term, while ATP molecules are stable and stored long term.
Answer:
Fat molecules are stable and can be stored for a long time, while ATP is not.
Step-by-step explanation:
Simplify 12^3 ÷ 12^7
Answer:
In decimal dorm 4.8225 x 10^-5
Step-by-step explanation:
Hannah makes 5 out of 8 attempted free-throws! What is the average waiting time for Hannah to make her first basket, and what is the probability that she will make a basket on or before her last attempt within her average waiting time?
The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8
How can we interpret probability?Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;
Given:
Hannah makes 5 out of 8 attempted free-throws.
Now,
The average waiting time of hannah to make her first basket is 5/8
The probability of hannah making basket at her last attempt is 1/8
The probability of hannah making basket before her last attempt is 2/8
Hence, the probabilty will be 1/8 and 2/8;
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An AP has first term as 3 and Common difference of 2 how many terms are needed to make the sum to 99
Answer:
9
Step-by-step explanation:
The \(n\)term is \(2n+1\).
\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)
The number of terms that needed to make the sum to 99 is 9
The first term of the arithmetic progression = 3
The common difference = 2
The sum of n term is = (n/2) [2a+(n-1)d]
Where a is the initial term
d is the common difference
Substitute the values in the equation
(n/2) [2(3)+(n-1)2] = 99
(n/2) [6 + 2n - 2] = 99
(n/2)[4+2n] = 99
n(2 + n) = 99
2n + \(n^2\) = 99
\(n^2\) + 2n - 99 = 0
Split the terms
\(n^2\) - 9n +11n - 99 =0
n(n -9) + 11(n - 9) = 0
(n + 11)(n - 9) = 0
n = -11 or 9
Since n cannot be a negative number, therefore n = 9
Hence, the number of terms that needed to make the sum to 99 is 9
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What is the total square inches
Square Area = side x side = 3x3 = 9
Rectangle Area = side x side= 7x3= 21
9 + 21 = 30 square inches
Answer:
30 square inches
Step-by-step explanation:
\(\boxed{\text{\bf Area of rectangle = length *width}}\)
Rectangle1:
Area = 6 * 3
= 18 square inches
Rectangle2:
Area = 4 * 3
= 12 square inches
Area of the figure = area of rectangle1 + area of rectangle2
= 18 + 12
= 30 square inches
The sum of a number and 5 is greater than 23. Don’t solve( write an inequality to math the phrase).
Answer: 7
Step-by-step explanation: imma just give answer oki
Please help I'm stuck