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3 years ago

What is the sum of 85 and 34?

Mathematics

2 answers:

LenaWriter [7]3 years ago

6 0

The sum of 85 and 34 is 119

snow_tiger [21]3 years ago

3 0

The total sum is 119

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(3,4) and (0, 5) write a linear equation

Nina [5.8K]

Answer:

y=-1/3x+5

Step-by-step explanation:

Slope-intercept form

y=mx+b

m => slope

b => y-intercept

Slope

m=(y2-y1)/(x2-x1)=(5-4)/(0-3)=1/(-3)=-1/3

Y-intercept

y=-1/3x+b

5=-1/3(0)+b

5=b

Final equation

y=-1/3x+5

3 0

2 years ago

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not m

Zigmanuir [339]

Answer:

(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.

(b) $c =0.51995$

Step-by-step explanation:

Given

$f(x) = e^{-4x};\ [0,2]$

Solving (a); Does the function satisfy M.V.T on the given interval

We have:

$f(x) = e^{-4x};\ [0,2]$

The above function is an exponential function, and it is differentiable and continuous everywhere

Solving (b): The value of c

To do this, we use:

$f'(c) = \frac{f(b) - f(a)}{b - a}$

In this case:

$[a,b] = [0,2]$

So, we have:

$f'(c) = \frac{f(2) - f(0)}{2 - 0}$

$f'(c) = \frac{f(2) - f(0)}{2}$

Calculate f(2) and f(0)

$f(x) = e^{-4x}$

So:

$f(2) = e^{-4*2} = e^{-8} = 0.00033546262$

$f(0) = e^{-4*0} = e^{0} = 1$

This gives:

$f'(c) = \frac{0.00033546262 - 1}{2}$

$f'(c) = \frac{-0.99966453738}{2}$

$f'(c) = -0.4998$

Note that:

$f'(x) = (e^{-4x})'$

$f'(x) = -4e^{-4x}$

This implies that:

$f'(c) = -4e^{-4c}$

So, we have:

$f'(c) = -0.4998$

$-4e^{-4c} =-0.4998$

Divide both sides by -4

$e^{-4c} =\frac{-0.4998}{-4}$

$e^{-4c} =0.12495$

Take natural logarithm of both sides

$\ln(e^{-4c}) =\ln(0.12495)$

$\ln(e^{-4c}) =-2.0798$

Apply law of natural logarithm

$\ln(e^{ax}) =ax$

So:

$-4c =-2.0798$

Solve for c

$c =\frac{-2.0798}{-4}$

$c =0.51995$

3 0

2 years ago

How can you get the square side area??

emmainna [20.7K]

Buy what he said to multiple or divide length times width

5 0

2 years ago

gracie and mary and nancy each have a small collection of seashells gracie has 5 more than 1 and 1/4 times the number of shells

Fiesta28 [93]

X = mary's shells
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n

1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells

6 0

3 years ago

Write 2 decimals whose product is 0.16

Nitella [24]

0.4 and 0.4 or 0.8 and 0.2

Hope this helps :)

8 0

3 years ago

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