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4 years ago

Help 10 points and explain how you get the answer.

Mathematics

1 answer:

Alenkinab [10]4 years ago

6 0

you solve the square root of 54a*7b*3

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yanalaym [24]

Answer:

2x² - 6x

Step-by-step explanation:

(3x² - 4x + 8) + (- x² - 2x - 8) ← remove both parenthesis

= 3x² - 4x + 8 - x² - 2x - 8 ← collect like terms

= 2x² - 6x

7 0

3 years ago

Graph the first six terms of a sequence where a1 = 3 and d = −10.

Aleks [24]

Answer:

Step-by-step explanation:

nth term = (n-1)th term + common difference

d = -10

a₁ = 3

a₂ = a₁ + d = 3 + (-10) = -7

a₃ = a₂ + d = -7 + (-10) = -17

a₄ = a₃ + d = -17 + (-10) = -27

a₅ =a₄ + d = -27 + (-10) = -37

a₆ = a₅ + d = -37 + (-10) = -47

First six terms: 3 , -7 , -17, -27, -37 , -47

7 0

3 years ago

At what rates did she invest?<br> $1500 invested at___%<br> $800 invested at ____%

frosja888 [35]

Answer:

4% and 5% respectively

Step-by-step explanation:

Let the intrest rate be x in the first account at x% and (x+1)% in the second account.

ATQ, 100=(x)*1500/100+(x+1)*800/100

x=4.

3 0

3 years ago

Use slope-intercept form to write the equation of a line

Korvikt [17]

Answer:

y=-3x-2

Step-by-step explanation:

There is enough information to make a point-slope form equation that which we can convert into slope-intercept form.

Point-slope form is: $y-y_1=m(x-x_1)$

We are given the slope of -3 and the point of (1,-5).

$y-y_1=m(x-x_1)\rightarrow y+5=-3(x-1)$

Convert into Slope-Intercept Form:

$y+5=-3(x-1)\\y+5-5=-3(x-1)-5\\\boxed{y=-3x-2}$

8 0

3 years ago

If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours

Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

$P(t)=P_0e^{kt}$

Where, $P_0$ is the initial value, k is the growth constant and t is the number of years.

Putting $P(t)=15000,P_0=3000, k=2.8$ in the above formula, we get

$15000=3000e^{2.8t}$

$\dfrac{15000}{3000}=e^{2.8t}$

$5=e^{2.8t}$

Taking ln on both sides, we get

$\ln 5=\ln e^{2.8t}$

$1.609438=2.8t$ $[\because \ln e^x=x]$

$\dfrac{1.609438}{2.8}=t$

$0.574799=t$

$t\approx 0.575$

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

4 0

3 years ago