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baherus [9]
3 years ago
14

The graph shows the relationship between daily caffeine consumption and resting heart rate for some adults. Which phrases descri

be the relationship between heart rate and daily intake of caffeine? Check all that apply.
Mathematics
2 answers:
Step2247 [10]3 years ago
7 0
Given a <span>graph showing the relationship between daily caffeine consumption and resting heart rate for some adults.

In the graph, the y-axis is labelled 'resting heart rate (bpm)' while the x-axs is labelled 'total coffee intake (cups)'

From the graph it can be seen that the y-value increases as the x-value increases.

Thus the phrases that describe the relationship between heart rate and daily intake of caffeine are as follows:
</span>
increasing heart rate and positive correlation
sergejj [24]3 years ago
5 0

Answer:

B. increasing heart rate

D. positive correlation

Step-by-step explanation:

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Suppose that $3500 is placed in an account that pays 2% interest compounded each year. Assume that no withdrawals are made from
Burka [1]
1% of $3500 is $35

Double that means

2% is $70

So first year would be $3570

Now

1% of $3570 is $35.70
2% is $71.40

So second year would be

$3641.40
7 0
3 years ago
If interest rates are at a level of 1% and expected inflation is 2%, would you prefer saving or spending your money?
olya-2409 [2.1K]
<span>If interest rates are at a level of 1% and expected inflation is 2%, it would be preferable to spend your money instead of saving it.

</span>Suppose<span> you have $100 and you save it in a savings account that pays a 1% interest rate. After a year, you will have $101 in your account.

During this period, if inflation runs 2%, you would have to have $102 to make up for the impact of higher prices.

Since you will only have $101 in your account, you have actually lost some purchasing power.

If your savings don’t grow to reflect this rise in prices over time, the effect will be as though you are actually losing money.

This means that if you have $100 which you can use to buy a TV set, and you saved the money instead is a savings account that pays 1% interest.
After 1 year, because of inflation of 2%, the TV set now costs $102 whereas the money in your bang account wil be $101.

Thus, you actually need to get an extra $1 from somewhere to fund the TV set you could have been able to buy a year ago.
</span>
6 0
3 years ago
Which of the equations below could be the equation of this parabola? ​
Marrrta [24]

Answer:

The answer to your question is letter C.

Step-by-step explanation:

A. This option is wrong because that equation is of a horizontal parabola, an the graph shows a vertical parabola.

B. The same as letter A. This option is wrong because that equation is of a horizontal parabola, an the graph shows a vertical parabola.

C. This option is correct, is the equation of a vertical parabola and the negative indicates that it opens downward, as in the graph.

D. This option is incorrect because the equation is of a vertical parabola that opens upward.

6 0
3 years ago
Find the particular solution of the differential equation dy + 7y = 6 satisfying the initial condition y(0) = 0. Answer: y= Your
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

We have the equation y'+7y=6 with the initial condition y(0)=0. It is not difficult to notice that this is a linear equation, which has the general expression

y'+P(x)y=Q(x).

The solution of this equation is expressed by a general formula:

y(x) = \exp\left(-\int P(x)dx\right)\left(\int Q(x)\exp\left(-\int P(x)dx\right) +C\right).

In the particular case of our equation, we have

P(x)=7

Q(x)=6.

Then, we must calculate the integrals

\int 7dx = 7x that implies

\exp\left(-\int P(x)dx\right) = e^{-7x},

and

\int 6e^{7x}dx = \frac{6}{7}e^{7x}

Then,

y(x) = e^{-7x}\left(\frac{6}{7}e^{7x} +C\right) = \frac{6}{7} + Ce^{-7x}.

In order to obtain the value of the constant we substitute the initial condition

0=y(0) = \frac{6}{7} + C that implies C=-\frac{6}{7}

Therefore,

y(x) = \frac{6}{7}-\frac{6}{7}e^{-7x}.

8 0
3 years ago
ILL GIVE BRAINLIEST FOR CORRECT SIMPLIFYED ANSWERS QUESTIONS 1-8
stellarik [79]

Answer:

1. 7x + 2 3/5

2. 2x-6.3

3. 27t + 36b

4. 3.5a - 9.1p

5. 8(x+7)

6. 3(x+19)

7.  y= -8.9

8.  n = -18

Step-by-step explanation:

1. combine like terms

2. Keep change change then combine like terms

3. distribute

4. distribute

5. have 8 in common

6. have 3 in common

7. subtract 1.6 from -7.3

8. multiply both sides by -2/3

7 0
2 years ago
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