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3 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

6 0

Answer:

a = E

b = A

c = B

d = D

I solved this using my graphic calculator.

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Explain how to evaluate 3 to the fourth power

Nikolay [14]

Answer:

3 to the fourth power would basically mean 3 x 3 x 3 x 3

Step-by-step explanation:

Alot of people get this confused with 3 x 4 but when multuply to the power of four its 3 x 3 x 3 x 3 which is 81

Brainliest?

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3 years ago

Solve for n. 2n - 3 5 = = 5 Enter your answer in the box. n =

Zina [86]

Answer:

$2n - 35 = 5 \\ 2n = 5 + 35 \\ 2n = 40 \\ n = 40 \div 2 \\ n = 20$

4 0

2 years ago

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A 100 gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon suppose th

Vsevolod [243]

At the start, the tank contains

(0.25 lb/gal) * (100 gal) = 25 lb

of sugar. Let $S(t)$ be the amount of sugar in the tank at time $t$ . Then $S(0)=25$ .

Sugar is added to the tank at a rate of P lb/min, and removed at a rate of

$\left(1\frac{\rm gal}{\rm min}\right)\left(\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm gal}\right)=\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm min}$

and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,

$\dfrac{\mathrm dS}{\mathrm dt}=P-\dfrac S{100}$

Separate variables, integrate, and solve for S.

$\dfrac{\mathrm dS}{P-\frac S{100}}=\mathrm dt$

$\displaystyle\int\dfrac{\mathrm dS}{P-\frac S{100}}=\int\mathrm dt$

$-100\ln\left|P-\dfrac S{100}\right|=t+C$

$\ln\left|P-\dfrac S{100}\right|=-100t-100C=C-100t$

$P-\dfrac S{100}=e^{C-100t}=e^Ce^{-100t}=Ce^{-100t}$

$\dfrac S{100}=P-Ce^{-100t}$

$S(t)=100P-100Ce^{-100t}=100P-Ce^{-100t}$

Use the initial value to solve for C :

$S(0)=25\implies 25=100P-C\implies C=100P-25$

$\implies S(t)=100P-(100P-25)e^{-100t}$

The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time

$1000\,\mathrm{gal}+\left(-1\dfrac{\rm gal}{\rm min}\right)t=5\,\mathrm{gal}\implies t=995\,\mathrm{min}$

has passed. At this time, we want the tank to contain

(0.5 lb/gal) * (5 gal) = 2.5 lb

of sugar, so we pick P such that

$S(995)=100P-(100P-25)e^{-99,500}=2.5\implies\boxed{P\approx0.025}$

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3 years ago

1. Find the cost of 3.5 yards of fabric if the fabric is priced at $6.00 per yard.

Feliz [49]

$21.00

Step-by-step explanation:

if 1 yard equal 6 dollars

do 6 times 3 = 18

and half of 6 is 3

add 18+3=21 dollars

8 0

3 years ago

Which pairs of triangles can be shown to be congruent using rigid motions?

sergeinik [125]

Answer:

Not congruent; not congruent; congruent; congruent; not congruent; not congruent.

Step-by-step explanation:

The base of △ABC, BC, is 2 units. The height of △ABC, extending from A to BC, is 3 units. This means that any triangle congruent to this will have a base of 2 and a height of 3.

△MNP has a base of 2; however, its height (from M to NP) is 4 units. Therefore they are not congruent.

△EFG has a base of 2 and a height of 4; it and △ABC are not congruent.

△STU has a base of 2 and a height of 3; it is congruent to △ABC.

△EFG has a base of 2 and a height of 4, just as △MNP; they are congruent.

Since △STU is congruent to △ABC, and we know that △EFG is not congruent to △ABC, we know that △EFG is not congruent to △STU.

Since △MNP is congruent to △EFG, and △EFG is not congruent to △STU, then △MNP is not congruent to △STU.

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3 years ago

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