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Does the point (1,2)(1, 2) satisfy the inequality 6x + 3y < 12 ?\newlineChoices:\newline(A)yes\newline(B)no

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Consider the following problem:\newlineThe total number of subscribers Zhang Wei has for his video page is changing at a rate of r(t)=21−2t r(t)=21-2 t subscribers per week (where t t is the time in weeks). At time t=8 t=8 weeks, Zhang Wei has 120120 subscribers. How many subscribers does Zhang Wei have by week 2020 ?\newlineWhich expression can we use to solve the problem?\newlineChoose 11 answer:\newline(A) r(20)−r(8)+120 r(20)-r(8)+120 \newline(B) ∫2020r(t)dt \int_{20}^{20} r(t) d t \newline(C) ∫820r(t)dt+120 \int_{8}^{20} r(t) d t+120 \newline(D) r(20) r(20)
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Posted 9 months ago

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Anjali was given this problem:\newlineA person stands at a distance of 1212 meters east of an intersection and watches a car driving away from the intersection to the north at 44 meters per second. At a certain instant t0 t_{0} , the car is at distance n(t0) n\left(t_{0}\right) of 99 meters from the intersection. What is the rate of change of the distance d(t) d(t) between the car and the person at that instant?\newlineWhich equation should Anjali use to solve the problem?\newlineChoose 11 answer:\newline(A) tan⁡[d(t)]=n(t)12 \tan [d(t)]=\frac{n(t)}{12} \newline(B) d(t)=12⋅n(t)2 d(t)=\frac{12 \cdot n(t)}{2} \newline(C) d(t)+12+n(t)=180 d(t)+12+n(t)=180 \newline(D) [d(t)]2=122+[n(t)]2 [d(t)]^{2}=12^{2}+[n(t)]^{2}
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Posted 9 months ago

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In one kind of chemical reaction, unconverted reactants change into converted reactants.\newlineThe fraction a a of reactants that have been converted increases at a rate proportional to the product of the fraction of converted reactants and the fraction of unconverted reactants.\newlineWhich equation describes this relationship?\newlineChoose 11 answer:\newline(A) dadt=ka1−a \frac{d a}{d t}=\frac{k a}{1-a} \newline(B) dadt=ka(1−a) \frac{d a}{d t}=k a(1-a) \newline(c) dadt=ka(1−a) \frac{d a}{d t}=\frac{k}{a(1-a)} \newline(D) dadt=ka2 \frac{d a}{d t}=k a^{2}
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Posted 9 months ago

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Which is the set of integers greater than or equal to 00 and less than or equal to 66?\newlineChoices:\newline(A) ∅\emptyset \newline(B){1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\}\newline(C){0,1,2,3,4,5,6}\{0, 1, 2, 3, 4, 5, 6\}\newline(D){1,6}\{1, 6\}
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Posted 8 months ago

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The Salem Playhouse wants to make at least $6,800\$6,800 on ticket sales this year. Currently, adults' tickets cost $67\$67 and children's tickets cost $16\$16.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of adults' tickets sold\newliney=y = the number of children's tickets sold\newlineChoices:\newline(A) 67+x+16+y>6,80067 + x + 16 + y > 6,800\newline(B) 67x+16y>6,80067x + 16y > 6,800\newline(C) 67+x+16+y≥6,80067 + x + 16 + y \geq 6,800\newline(D) 67x+16y≥6,80067x + 16y \geq 6,800
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Posted 8 months ago

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An event planner is reserving rooms for a company-wide event. Each ballroom can hold 9393 people and each conference room can hold 2323 people, and together they must hold at least the 841841 people participating.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of ballrooms\newliney=y = the number of conference rooms\newlineChoices:\newline(A) 23x−93y≥84123x - 93y \geq 841\newline(B) 93x+23y≥84193x + 23y \geq 841\newline(C) 93x×23y≥84193x \times 23y \geq 841\newline(D) 23x+93y≥84123x + 93y \geq 841
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Posted 8 months ago

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Jim is building birdhouses in shop class, and he has a total of 423423 nails on hand. A small birdhouse requires 3434 nails and a large birdhouse requires 4141 nails.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of small birdhouses\newliney=y = the number of large birdhouses\newlineChoices:\newline(A) 34x+41y≤42334x + 41y \leq 423\newline(B) 41x×34y≤42341x \times 34y \leq 423\newline(C) 41x+34y≤42341x + 34y \leq 423\newline(D) 34x×41y≤42334x \times 41y \leq 423
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Posted 8 months ago

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Craig is building a shelving unit to hold all of his shoes. A pair of work shoes takes up 2 square feet2\,\text{square feet} of space, and a pair of boots occupies 5 square feet5\,\text{square feet}. The total amount of shelving space taken up by all the shoes can be at most 57 square feet57\,\text{square feet}.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of pairs of shoes\newliney=y = the number of pairs of boots\newlineChoices:\newline(A) 5x+2y≤575x + 2y \leq 57\newline(B) 2x+5y<572x + 5y < 57\newline(C) 2x+5y≤572x + 5y \leq 57\newline(D) 5x+2y<575x + 2y < 57
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Posted 8 months ago

Question
Sasha is knitting baby items to sell at a craft fair. She has a total of 1,6501,650 yards of yarn to use for the items. A pair of booties uses 198198 yards of yarn and a cap uses 201201 yards apiece.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of pairs of booties Sasha can knit\newliney=y = the number of caps Sasha can knit\newline\newlineChoices:\newline(A) 198x+201y<1,650198x + 201y < 1,650\newline(B) 198x−201y<1,650198x - 201y < 1,650\newline(C) 198x+201y≤1,650198x + 201y \leq 1,650\newline(D) 198x−201y≤1,650198x - 201y \leq 1,650
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Posted 8 months ago

Question
The Middletown High School softball coach is purchasing equipment for her team. She has a budget of at most $770\$770 to purchase bats and softballs. A case of softballs has a price of $38\$38, and a bat has a price of $27\$27. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x=x = the number of cases of softballs y=y = the number of bats\newlineChoices:\newline(A) 38x−27y<77038x - 27y < 770\newline(B) 38x×27y≤77038x \times 27y \leq 770\newline(C) 38x+27y<77038x + 27y < 770\newline(D) 38x+27y≤77038x + 27y \leq 770
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Posted 8 months ago

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