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3 years ago

Hi I need to know the slope(m) before 11:00 I know the y-intercept(b) is -3

Mathematics

1 answer:

Alexxandr [17]3 years ago

6 0

Answer:

slope is 2/3

Step-by-step explanation:

y=mx + b where m is the slope

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Sheila eats 3/4 of a bag of baby carrots each week. How many bags of baby carrots does she eat in 6 weeks?

Katyanochek1 [597]

Multiply 6 by 3/4:
$\frac{3}{4} \times6= \frac{3}{2}\times3=\frac{9}{2}$

6 0

3 years ago

Read 2 more answers

I am having trouble solving for Y. I solved for X in the second equation, but I cannot seem to figure it out by substituting for

kumpel [21]

X - 2y = -10 --> x = 2y -10

3x + 5y = 25 --> 3(2y-10) + 5y = 25 --> 11y - 30 = 25 --> 11y = 55 --> y = 5

x = 2y -10 --> x = 2(5) -10 --> x =10 -10 --> x =0

Answer (0,5)

5 0

3 years ago

Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte

Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time( $T_{1}$ )=4 years

Time( $T_{2}$ )=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

$S.I=\frac{P\times R\times T}{100}$

$S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800$

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

$A=P*(1+\frac{R}{100})^t$

$A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60$

$A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286$

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years when interest is compounded annually=$ 9034(approx)

4 0

3 years ago

Read 2 more answers

Find the missing factor 5y^2-4y-9=(y+1)

disa [49]

Answer:

y = {1,2}

Step-by-step explanation:

5y^2 - 4y - 9 = y + 1

5y^2 - 5y - 10 = 0

5(y^2 - y - 2) = 0

5 (y - 2) (y - 1) = 0

y = {1,2}

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8 0

3 years ago

An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat

Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0

3 years ago