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3 years ago

Solve for q. a=qb+r What is q equal to? q=a−r−b q=a−r/b q=a/b−r q=a/rb

Mathematics

2 answers:

pav-90 [236]3 years ago

8 0

Answer:

q=a-r/b

Step-by-step explanation:

subtract r both sides, then divide each side by b to solve for q.

snow_tiger [21]3 years ago

6 0

Here you go! Hope it helps

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The population of a local species of bees can be found using an infinite geometric series where a1=860 and the common ratio is 1

erma4kov [3.2K]

$a_1=860$
$a_2=\dfrac{a_1}5$
$a_3=\dfrac{a_2}5=\dfrac{a_1}{5^2}$
$\vdots$
$a_n=\dfrac{a_{n-1}}5=\dfrac{a_{n-2}}{5^2}=\cdots=\dfrac{a_1}{5^{n-1}}$

The $k$ th partial sum is

$\displaystyle S_k=\sum_{n=1}^ka_n=\sum_{n=1}^k\frac{a_1}{5^{n-1}}$
$S_k=a_1\left(1+\dfrac15+\dfrac1{5^2}+\cdots+\dfrac1{5^{k-2}}+\dfrac1{5^{k-1}}$
$\dfrac15S_k=a_1\left(\dfrac15+\dfrac1{5^2}+\dfrac1{5^3}+\cdots+\dfrac1{5^{k-1}}+\dfrac1{5^k}\right)$

$\implies S_k-\dfrac15S_k=a_1\left(1-\dfrac1{5^k}\right)$
$\dfrac45 S_k=860\left(1-\dfrac1{5^k}\right)$
$S_k=1075-\dfrac{1075}{5^k}$

As $k\to\infty$ , we're left with

$\displaystyle\sum_{n=1}^\infty a_n=\lim_{k\to\infty}\left(1075-\frac{1075}{5^k}\right)=1075$

which is the upper limit to the population of the bees.

4 0

3 years ago

PLEASE HELP! WILL GIVE BRAINLIEST AND EXTRA POINTS

Varvara68 [4.7K]

Answer:

1,3,4

Step-by-step explanation:

5 0

3 years ago

Solve both questions please ❤️❤️

harina [27]

Answer:

1. y=7.2

2. x=18

Step-by-step explanation:

1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

$\dfrac{CM}{CB}=\dfrac{CN}{CA}\\ \\\dfrac{12}{12+y}=\dfrac{10}{10+6}\\ \\12\cdot 16=10\cdot (12+y)\\ \\192=120+10y\\ \\10y=72\\ \\y=7.2$

2. GK is angle G bisector. Use angle bisector's property:

$\dfrac{GH}{GI}=\dfrac{KH}{KI}\\ \\\dfrac{40}{24}=\dfrac{30}{x}\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18$

8 0

3 years ago

The concession stand sells hot dogs and soda during the pee-wee football games.John bought 6 hot dogs and 4 sodas and paid $6.70

Eva8 [605]

Answer: Hotdog cost $0.75

Price of soda = $0.55

Step-by-step explanation:

Let the price of hot dogs be x.

Let the price of sodas be y.

6x + 4y = 6.70 ...... i

4x + 3y = 4.65 ....... ii

Multiply equation i by 4

Multiply equation ii by 6

24x + 16y = 26.80 ........ iii

24x + 18y = 27.90 ......... iv

Subtract iii from iv

2y = 1.10

y = 1.10/2

y = $0.55

Price of soda = $0.55

From equation i,

6x + 4y = 6.70

6x + 4(0.55) = 6.70

6x + 2.20 = 6.70

6x = 6.70 - 2.20

6x = 4.50

x = 4.50/6

x = $0.75

Hotdog cost $0.75

7 0

3 years ago

30 points plz help<br> Use the draggable points to graph the equation<br> 1<br> y=<br> 2x+3

Nikitich [7]

Answer:

Yeah its 7 because when you add 3+2=5, and x is 2, its 7

3 0

3 years ago