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2 years ago

Yari says that the product of 230x10 to the 4th power has 4 zeros. Is she correct?

Mathematics

1 answer:

Kamila [148]2 years ago

6 0

Answer:

no she is not correct because 230×10^4=23,000,000

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Which point is 7 units from (10, 6) on a coordinate plane?

jeyben [28]

We can Add/Subtract 7 to the x-value or y-value of the point.

(10, 6)

(10 - 7, 6)

(3, 6)

(10 + 7, 6)

(17, 6)

(10, 6 - 7)

(10, -1)

(10, 6 + 7)

(10, 13)

The only point in the options is (3, 6).

7 0

3 years ago

one of the solutions to x2 − 2x − 15 = 0 is x = −3. what is the other solution? x = −5 x = −1 x = 1 x = 5

Goryan [66]

$x^{2} -2x-15=0$
P(-15)
s(-2)
$x^{2} -5x+3x-15$
=x(x-5)+3(x-5)
=(x+3)(x-5)
x=5

3 0

4 years ago

A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the

Vedmedyk [2.9K]

(a) Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T - 75)$ where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get $\dfrac{dT}{T - 75} = k dt$ . Integrate both sides to get $\ln|T - 75| = kt + C$ .

Since $T(0) = 185$ , we solve for C:
$|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110$
So we get $\ln|T - 75| = kt + \ln 110$ . Use T(30) = 150 to solve for k:
$\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)$

So

$\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t} \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}$

But choose Positive because T > 75. Temp of turkey can't go under.

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)} = 136.929 \approx 137{}^{\circ}F$

(b)

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30} \\
100 = 75 + 110(15/22)^{t/30} \\
25 = 110(15/22)^{t/30} 
\frac{25}{110} = (15/22)^{t/30} \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22) \approx 116\ \mathrm{min}$

Dogs of the AMS.

4 0

3 years ago

Can someone help me with this please

qaws [65]

Answer:

1. Answer is C

4. Answer is G

Step-by-step explanation:

I'm not sure how to explain 1 since I used a calculator.

Number 4 is where you choose a point on the line and count 4 blocks up and 5 blocks left. If it hits another point on the line then that's the graph.

7 0

3 years ago

ace car rental rents cars for x dollars per day plus y dollars for each mile driven carlos renteda car for a 4 days drove 100 mi

Yuliya22 [10]

$T=xd+ym\\x(4)+y(100)=(120)\\x(1)+y(240)=(80)\\\\4x+960y=320\\4x+100y=120\\860y=200\\y=\frac{200}{860}\\y=\frac{10}{43}\\\\x+240(\frac{10}{43})=80\\x+\frac{2400}{43}=\frac{3440}{43}\\x=\frac{1040}{43}$

x = 1040/43 = $24.19 per day.

y = 10/43 = $0.23 per mile.

4 0

4 years ago