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2 years ago

Will give brainliest! The value of y varies directly with x. When y = 30, x = 5. What is the value of y when x = 7.

Mathematics

2 answers:

lutik1710 [3]2 years ago

3 0

Answer:

Step-by-step explanation:

If we suppose the value is constant,

Divide 30/5 we get 6.

so now we know for every 1 x we get 6 y.

Multiply 6 times 7 = 42.

The value of y = 42 when x = 7.

LuckyWell [14K]2 years ago

3 0

Answer:

Y=42

Step-by-step explanation:

30÷5=6

so 7x6=42

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Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: $P=P_oe^{kt}$

P: final population
P₀: initial population
k: rate of decay (or growth)
t: time

Use the half life information to find k:

$\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}$

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

$.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}$

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2 years ago

Points H and F lie on circle C. Circle C is shown. Line segments E C, F C, and D C are radii. Tangents E G and D G intersect at

stira [4]

Answer:

answer on ed. is 6 units

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2 years ago

Read 2 more answers

Point Q is the image of Q (-5,1) under a translation by 6 units to the right and 2 units down.

Alex787 [66]

Answer:

(1,-1)

Step-by-step explanation:

The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.

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2 years ago

Write an equation in standard form of the line that passes through the given point and has the given slope. (5,0) m=4/3

sveticcg [70]

$\text{The standard form of a line:}\ Ax+By=C$

$\text{The point-slope form:}$

$y-y_1=m(x-x_1)$

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$\text{substitute:}\\\\y-0=\dfrac{4}{3}(x-5)\qquad|\text{use distributive property}\\\\y=\dfrac{4}{3}x-\dfrac{20}{3}\qquad|\text{multiply both sides by 3}\\\\3y=4x-20\qquad|\text{subtract 4x from both sides}\\\\-4x+3y=-20\qquad|\text{change the signs}\\\\\boxed{4x-3y=20}$

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2 years ago

What is the volume of a sphere that has<br> a radius of 11.5 units?

Brut [27]

Answer:

6370.63 is the volume

Step-by-step explanation:

V=4

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3·π·11.53≈6370.6263

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