Ask question

Ask question

All categories

2 years ago

13

You talk to a friend who lives in a different state. She tells you that today it is 12° below zero where she lives. You tell her

it is 54° where you live. What is the difference in temperatures?

2 answers:

Shkiper50 [21]2 years ago

8 0

The difference in temperatures is 54+12, so the difference is 66

patriot [66]2 years ago

5 0

Answer:

66 degrees

Step-by-step explanation:

You might be interested in

Find the most general antiderivative of the function. (Check yo f(x) = 3^x + 7 sinh(x) F(x) = Need Help? Watch It Talk to a Tuto

egoroff_w [7]

Answer:

F(x)= $\frac{3^x}{ln(3)}$ +7cosh(x)+C

Step-by-step explanation:

The function is f(x)=3ˣ+7sinh(x), so we can define it as f(x)=g(x)+h(x) where g(x)=3ˣ and h(x)=7sinh(x).

Now we have to find the most general antiderivative of the function this means that we have to calculate $\int\ {f(x)} \, dx$ wich is the same as $\int\ {(g+h)(x)} \, dx$

The sum rule in integration states that the integral of a sum of two functions is equal to the sum of their integrals. Then,

$\int\ {(g+h)(x)} \, dx$ = $\int\ {g(x)} \, dx + \int\ {h(x)} \, dx$

1- $\int\ {g(x)} \, dx =$ $\int\ {3^x} \, dx = \frac{3^x}{ln(3)}+C$ this is because of the rule for integration of exponencial functions, this rule is:

$\int\ {a^x} \, dx =\frac{a^x}{ln(x)}$ , in this case a=3

2- $\int\ {h(x)} \, dx =$ $\int\ {7sinh(x)} \, dx =7\int\ {sinh(x)} \, dx =7cosh(x)+C$ , number seven is a constant (it doesn´t depend of "x") so it "gets out" of the integral.

The result then is:

F(x)= $\int\ {(h+g)(x)} \, dx=\int\ {h(x)} \, dx +\int\ {g(x)} \, dx$

$\int\ {3^x} \, dx +\int\ {7sinh(x)} \, dx = \frac{3^x}{ln(3)} +7cosh(x) + C$

The letter C is added because the integrations is undefined.

7 0

3 years ago

If a data point has a corresponding z-score of -1.5, then it is one and a half standard deviations above the mean value. 1. True

TEA [102]

Answer: False.

Step-by-step explanation:

For any random variable x,

Formula to calculate the z-score : $z=\dfrac{x-\mu}{\sigma}$

, where $\mu$ = Mean

$\sigma$ = Standard deviation

Let x be the data point has a corresponding z-score of -1.5.

Then , we have

$-1.5=\dfrac{x-\mu}{\sigma}$

$-1.5\sigma=x-\mu$

$\mu-1.5\sigma=x$

i.e. x is one and a half standard deviations below the mean value.

( one and a half = $1+\dfrac{1}{2}=1.5$ )

Therefore , the given statement is false.

8 0

2 years ago

Change in v =9.8m/s 2 times t

Kitty [74]

Answer:

v = 39.2 m/s

Step-by-step explanation:

They gave you the equation for velocity during freefall in picture2 as:

v = 9.8t m/s

they ask you what the value of v (velocity) is after t=4 sec.

Just plug in t=4 into the equation.

v = 9.8t

v = 9.8(4)

v = 39.2 m/s

4 0

2 years ago

Which decimal number and fraction are equivalent?

skelet666 [1.2K]

Answer:

B

Step-by-step explanation:

If you convert 0.35 is equal to 7/20

5 0

2 years ago

What is 500 dollars at 4% for 3 years

worty [1.4K]

$500 + (\frac{100 + 4}{100})^{3}$ = $<span>562.432.
</span>
original amount + ((100 + percentage) / 100)^number of years

7 0

3 years ago