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2 years ago

Solve for x to the nearest tenth.

Mathematics

1 answer:

bogdanovich [222]2 years ago

8 0

Answer: the answer to your question is 8.0

Step-by-step explanation:

Sin theta = opposite /hypotenuse sin 53 = x/10

Multiply each side by 10

10 sin 53 = x

7.9863551

To the nearest tenth

x = 8.0

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Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ

irina [24]

Answer:

No.

Step-by-step explanation:

In order to complete the square, you need to have the x values together, not the constant.

To complete the square <em>correctly </em>you would need to have x² - 20x = -6 and continue from there; divide 20 by 2 and square the result to get (x - 10)² = 96.

7 0

3 years ago

Express the following

krok68 [10]

Answer:

1. 32

2. 24

3. $\frac{1}{12}$

4. $\frac{1}{8}$

5. 15

6. $\frac{1}{15}$

Step-by-step explanation:

1. 4÷ $\frac{1}{8} = 4*8=32$

2. 6÷ $\frac{1}{4} = 6*4=24$

3. $\frac{1}{3}$ ÷4= $\frac{1}{3}*\frac{1}{4} =\frac{1}{12}$

4. $\frac{1}{2}$ ÷4= $\frac{1}{2} *\frac{1}{4} =\frac{1}{8}$

5. 5÷ $\frac{1}{3} =5*3=15$

6. $\frac{1}3}$ ÷5= $\frac{1}{3} *\frac{1}{5} = \frac{1}{15}$

3 0

3 years ago

For which of the following is the shape of the sampling distribution of the sample mean approximately normal? a random sample of

RSB [31]

Answer:

a random sample of size 5 from a population that is approximately normal

a random sample of size 60 from a population that is strongly skewed to the left.

Step-by-step explanation:

They are both correct

6 0

2 years ago

What is the value of y in the formula shown when x = 4/5?

Pavlova-9 [17]

4(4/5) + √(4/5) + 0.2 - 5(4/5)

= 16/5 + (2√5/5) + (1/5) - 4

= (16 + 2√5 + 1 - 20)/5

= (2√5 - 3)/5 or 0.29442719

6 0

2 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

2 years ago