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AveGali [126]
3 years ago
13

Pleaseeeeeeeeeee help me! Thank you!

Mathematics
2 answers:
Genrish500 [490]3 years ago
6 0
Answer:

The correct answer is D.

Step-by-step explanation:

The given expression for the substance in shipment 2 is

f(t)=50(\frac{1}{2})^{\frac{t-2}{5}}

f(t)=50(\frac{1}{2})^{(\frac{t}{5}-\frac{2}{5})}

We use the law of exponents to determine an equivalent expression.

Recall that,

a^{m-n}=\frac{a^m} {a^n}

We apply this property to obtain,

f(t)=\frac{50(\frac{1}{2})^{\frac{t}{5}}}{(\frac{1}{2})^{\frac{2}{5}}}

The correct answer is D
Westkost [7]3 years ago
3 0

Answer:

Step-by-step explanation:

The other responder works better with Latex than I do. I would have been too late anyway.

f(t) = 50*(1/2)^(t - 2)/5

f(t) = 50*(1/2)^(t/5) * (1/2)^(-2/5)

f(t) = 50* (1/2)^t/5   /    (1/2)^(2/5)

f(t) = 50* \dfrac{\sqrt[5]{(\frac{1}{2})^t}}{(\dfrac{1}{2})^\frac{2}{5} }

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A rectangular carpet has a perimeter of 274 inches. The length of the carpet is 95 inches more than the width. What are the dime
GrogVix [38]

Answer:

Length: 116

Width: 21

Step-by-step explanation:

Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.

Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.

So,

2x + 2x + 190 = 274.

Simplify this and you get:

4x= 274 - 190

4x = 84

x= 21

So, the width is 21. This means that the length is 21 + 95.

21 + 95 = 116

4 0
3 years ago
The town of Passaic had 58,753 people in 1990 and 71,509 people in 2014.
OLEGan [10]

Answer:

21.71% increase

Step-by-step explanation:

increase = Increase ÷ Original Number × 100

12756/58753*100

0.217112318*100

21.71% increase.

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7 0
3 years ago
Please i'm so dumb subtract 52 feet 2 inches - 2 1/4
vaieri [72.5K]

If I understand correctly the answer is 49 feet 11 inches

8 0
3 years ago
In kite WXYZ, the measure of Measure of angle X = measure of angle Z = 86 degrees, and the Measure of angle Y = 72 degrees.
Varvara68 [4.7K]

Answer:

116

Step-by-step explanation:

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3 0
3 years ago
f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans
Kruka [31]

Answer:

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

Step-by-step explanation:

We want to find the Riemann sum for \int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)

where \Delta{x}=\frac{b-a}{n}.

Step 1: Find \Delta{x}

We have that a=0, b=\frac{3\pi }{4}, n=6

Therefore, \Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}

Step 2: Divide the interval \left[0,\frac{3 \pi}{4}\right] into n = 6 sub-intervals of length \Delta{x}=\frac{\pi}{8}

a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b

Step 3: Evaluate the function at the left endpoints

f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3

f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386

f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964

f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527

f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0

f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527

Step 4: Apply the Left Riemann Sum formula

\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

5 0
3 years ago
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