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Tpy6a [65]
2 years ago
5

To take a taxi, it costs \$3.00$3.00dollar sign, 3, point, 00 plus an additional \$2.00$2.00dollar sign, 2, point, 00 per mile t

raveled. You spent exactly \$20$20dollar sign, 20 on a taxi, which includes the \$1$1dollar sign, 1 tip you left.
Mathematics
1 answer:
djverab [1.8K]2 years ago
5 0

Answer 8 miles

Step-by-step explanation:

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The derivative of the function B is given by B′(t)=8e0.2cost , and B(2.2)=4.5 . If the linear approximation to B(t) at t=2.2 is
Elis [28]

Answer:

The linear approximation of B(t) at t = 2.2 estimates B(t) = 9 for t = 2.8328

Step-by-step explanation:

b'(2.2) = 8 * e^(0.2cos(2.2)) = 7.1117 and b(2.2) = 4.5. The linear approximation of B(t) at t = 2.2 is

L(t) = 7.1117*(t-2.2) + 4.5

We want t so that L(t) = 9

9 = 7.1117*(t-2.2) + 4.5

4.5 = 7.1117 *(t-2.2)

t-2.2 = 4.5/7.1117 = 0.6327601

t = 2.2+0.6327601 = 2.8328

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2 years ago
After a 5% pay raise , Hermione is earning $21,000 per year. What was she earning before the pay raise?
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Answer:

\$20,000

Step-by-step explanation:

Let

x -----> Hermione was earning before the pay raise

we know that

100\%+5\%=105\%=105/100=1.05

so

The linear equation that represent this problem is

1.05x=21,000

Solve for x

Divide by 1.05 both sides

x=21,000/1.05

x=\$20,000

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2 years ago
Ummi is setting up an aquarium in the shape shown here. She fills it
ZanzabumX [31]

Answer:

7.5 ft3

Step-by-step explanation:

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2 years ago
In the land of Ink, the money system is unique. One Trinket is equal to 4 Blinkets, and 3 Blinkets are equal to 7 Drinkets. In T
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The answer is 224 drinkets
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2 years ago
Read 2 more answers
Suppose r⃗ (t)=cos(πt)i+sin(πt)j+5tkr→(t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where zz is th
gtnhenbr [62]

Answer:

a) t = 4

b) v = pi j + 5 k

c) rt = 1i + (pi t) j + (20 +5t )k

Step-by-step explanation:

You have the following vector equation for the position of a particle:

r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}    (1)

(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.

For a height of 20 you have:

5t=20\\\\t=\frac{20}{5}=4

(b) The velocity of the particle is the derivative, in time, of the vector position:

v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}    (2)

and for t=4 (height = 20):

v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}

(c) The vector parametric equation of the tangent line is given by:

r_t(t)=r_o+vt      (3)

ro: position of the particle for t=4

r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}

Then you replace ro and v in the equation (3):

r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}

3 0
2 years ago
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