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2 years ago

What is the range of these numbers: 79 72 78 -71 -91 65

Mathematics

2 answers:

fomenos2 years ago

3 0

Answer:

170

Step-by-step explanation:

91+79

lesya [120]2 years ago

3 0

Answer:

The range would be 170

Step-by-step explanation:

79- -91= 170

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What is the distance between the following points? A 12 B 13 C 36 D 97

Nookie1986 [14]

Answer:

Step-by-step explanation:

8 0

2 years ago

The expression 11(1.022)* models the per capita gross domestic product (GDP) of the US, in thousands of

o-na [289]

Answer:

$y = a (b)^t$

Where a represent the initial amount and b the rate of growth/decay for the model and the time in years since 1950.

For this case the value of b is given by:

$b = 1.022$

And if we solve for r the rate of growth we got:

$1.022 = 1+ r$

$r = 1.022-1= 0.022$

The answer for this case would be: 1.022 represent the growth factor for the GDP since 1950 (because b >1) and each year the GDP increase by a factor of 1.022

Step-by-step explanation:

For this case we are ssuming that we can model the GDP gross domestic product (GDP) of the US, in thousands of dollars with the folllowing function:

$GDP = 11 (1.022)^t$

And we can see that this formula is governed by the exponential model formula given by:

$y = a (b)^t$

Where a represent the initial amount and b the rate of growth/decay for the model and the time in years since 1950.

For this case the value of b is given by:

$b = 1.022$

And if we solve for r the rate of growth we got:

$1.022 = 1+ r$

$r = 1.022-1= 0.022$

The answer for this case would be: 1.022 represent the growth factor for the GDP since 1950 (because b >1) and each year the GDP increase by a factor of 1.022

5 0

2 years ago

Factor 16x^2 + 49. Check your work.

Shtirlitz [24]

Answer:

$16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

Step-by-step explanation:

Given : Expression $16x^2+49$

To find : Factor the expression ?

Solution :

The given expression is a quadratic function $y=ax^2+bx+c$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

$x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}$

$x=\frac{\pm\sqrt{-3136}}{32}$

$x=\frac{\pm56i}{32}$

$x=\frac{56i}{32},\frac{-56i}{32}$

$x=\frac{7i}{4},\frac{-7i}{4}$

Factors are $(x-\frac{7i}{4}),(x+\frac{7i}{4})$

Therefore, $16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

4 0

3 years ago

What is the equation of the given line in standard form? Use integer coefficients (no decimals or fractions!). y = 3 over 5x - 3

Mazyrski [523]

Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 3 and the run is 5.

Please mark brainliest! :)

6 0

3 years ago

Need help quiiickkkk

OLEGan [10]

Answer:

100 beats per minute

Step-by-step explanation:

If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.

To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:

28.8 secs = 48 beats

60 secs = x beats

Cross multiply

28.8*x = 60*48

28.8x = 2,880

Divide both sides by 28.8

x = 2,880/28.8

x = 100

✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM

7 0

3 years ago