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mrs_skeptik [129]
3 years ago
5

What’s 24 times 40 equals

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
3 0
24 times 40 equals 960.
swat323 years ago
3 0
24 times 40 equals 960
hope it helps
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The lengths of the two sides of a triangle (not necessarily a right triangle) are 1.00 meters and 3.54 meters. The sine of the a
DerKrebs [107]

Answer:

sin B= 0.096288

B = 5.525°

Step-by-step explanation:

Consider ΔABC as shown in figure attached

From figure:

a = 1 m

b = 3.54 m

sin A = 0.0272

sin B = ?

Using the sine rule for non-right-angle triangle

\\\frac{a}{sin\, A}=\frac{b}{sin\,B}\\\\sin\,B=\frac{b(sin\,A)}{a}\\\\sin\,B=\frac{(3.54)(0.0272)}{1}\\\\sin\,B=0.096288\\\\B= 5.525^o

4 0
3 years ago
Out of a group of 120 students that were surveyed about winter sports 28 said they ski 53 said they snowboard Sixteen of the stu
hjlf

Answer:

P ( snowboard I ski)​ = 0.5714

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Ski

Event B: Snowboard.

28 out of 120 students ski:

This means that P(A) = \frac{28}{120} = 0.2333

16 out of 120 do both:

This means that P(A \cap B) = \frac{16}{120} = 0.1333

P ( snowboard I ski)​

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1333}{0.2333} = 0.5714

So

P ( snowboard I ski)​ = 0.5714

7 0
3 years ago
Read 2 more answers
How do i solve that question?
yawa3891 [41]

a) The solution of this <em>ordinary</em> differential equation is y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2   } }.

b) The integrating factor for the <em>ordinary</em> differential equation is -\frac{1}{x}.

The <em>particular</em> solution of the <em>ordinary</em> differential equation is y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}.

<h3>How to solve ordinary differential equations</h3>

a) In this case we need to separate each variable (y, t) in each side of the identity:

6\cdot \frac{dy}{dt} = y^{4}\cdot \sin^{4} t (1)

6\int {\frac{dy}{y^{4}} } = \int {\sin^{4}t} \, dt + C

Where C is the integration constant.

By table of integrals we find the solution for each integral:

-\frac{2}{y^{3}} = \frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32} + C

If we know that x = 0 and y = 1<em>, </em>then the integration constant is C = -2.

The solution of this <em>ordinary</em> differential equation is y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2   } }. \blacksquare

b) In this case we need to solve a first order ordinary differential equation of the following form:

\frac{dy}{dx} + p(x) \cdot y = q(x) (2)

Where:

  • p(x) - Integrating factor
  • q(x) - Particular function

Hence, the ordinary differential equation is equivalent to this form:

\frac{dy}{dx} -\frac{1}{x}\cdot y = x^{2}+\frac{1}{x} (3)

The integrating factor for the <em>ordinary</em> differential equation is -\frac{1}{x}. \blacksquare

The solution for (2) is presented below:

y = e^{-\int {p(x)} \, dx }\cdot \int {e^{\int {p(x)} \, dx }}\cdot q(x) \, dx + C (4)

Where C is the integration constant.

If we know that p(x) = -\frac{1}{x} and q(x) = x^{2} + \frac{1}{x}, then the solution of the ordinary differential equation is:

y = x \int {x^{-1}\cdot \left(x^{2}+\frac{1}{x} \right)} \, dx + C

y = x\int {x} \, dx + x\int\, dx + C

y = \frac{x^{3}}{2}+x^{2}+C

If we know that x = 1 and y = -1, then the particular solution is:

y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}

The <em>particular</em> solution of the <em>ordinary</em> differential equation is y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}. \blacksquare

To learn more on ordinary differential equations, we kindly invite to check this verified question: brainly.com/question/25731911

3 0
3 years ago
3. Mary bought a pair of speakers for $400. The following year, her friend bought the same speakers for $310.
anyanavicka [17]

Answer:

c

Step-by-step explanation:

take 400 multiply by 77.5% = 310

7 0
3 years ago
12 batteries cost $17<br><br> Find the unit rate
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

17/12= 1.4166

Round so it’s 1.42

Unit rate= $1.42 PER battery

8 0
3 years ago
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