3x+4=8y-3 5x+1=10y-4

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

A linear equation is given by:

y =mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the altitude of the balloon at time x.

Given that a trend line passes through the point ​(0​,481​) and ​(10,39), the equation of the trend line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]

At 454.6 ft:

454.6 = -44.2x + 481

-26.4 = -44.2

t = 0.6 minutes

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

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Answer: Around 1.33 Cups per batch

Step-by-step explanation:

4 / 3 ≈ 1.33

Answer:

1 1/3

Step-by-step explanation:

Math

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Answer:

[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]

Step-by-step explanation:

Topic A: Two books are ordered

Topic B: Four books are ordered

Let X= number of books arrived

The probability that a book actually arrives in time is 0.9

i.e., p=0.9

For Topic A:

[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]

For Topic B:

[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]

Answer: 0.75 Is bigger

Step-by-step explanation:

0.7 is 0.70

meaning 0.75 is bigger.

Answer:

.75 is larger

Step-by-step explanation:

Think about it in terms of whole number. 75 is greater than 70, therefore .75 is greater than .70

There is a hidden 0 after the .7

Answer:

180x²(3x⁴+2)⁴+240x³(3x⁴+2)³

Step-by-step explanation:

we need to break this up using the chain rule

(3x⁴+2)=u

so we have

So now we take 3x⁴+2 and take the derivative (which I will assume you know how to do, if not lmk)

which is 12x³

we now need to take the derivative of u⁵=5u⁴

Mulitply these together

60x³u⁴=60x³(3x⁴+2)⁴

do the same thing again

60x³u⁴

we now need to do the mulitplication rleu

(60x³)'(u⁴)+(60x³)(u⁴)'

=

180x²u⁴+60x³*4u³

simplify

180x²(3x⁴+2)⁴+240x³(3x⁴+2)³

while you could do more to simplify it, it would get really messy

Answer:

Its A

Step-by-step explanation:

Answer:

160 .........................................................................

Answer:

The answer is D. 24

Step-by-step explanation:

there are 6 atoms of Carbon, 12 atoms of Hydrogen, and 6 atoms of Oxygen.

If you add them together: 6 + 12 + 6 +24

Answer: x= 10

Step-by-step explanation:

Sorry for my sloppy hand writing.

When the equation of any line reads "y = a number",

its graph will always be a horizontal line, meaning zero slope.

So the equation y = -10 has a slope of 0 which

means its a flat or horizontal line.

im pretty sure its 74

Answer:

Step-by-step explanation:

Answer:

Babies of 33 week weighs relatively less than the babies of 41 week.

Explanation:

Z score is determined by

x-u/sd

A) For 33 Week baby

Given

Mean 2500

SD 800

Z score is

2600-2500/800 =0.125

B) For 41 Week baby

Given

Mean 2800

SD 425

x=2900

Z score is

2900-2800/425 =0.235

The z score depicts that the baby of 33 week or 41 week weighs more than the normal babies of same age group.

Thus, babies of 33 week weighs relatively less than the babies of 41 week.

Answer:

6

Step-by-step explanation:

8-2 =6 therefore x is 6 if you want to do it a more complicated way be my guest

Answer:

The table shows that:

Therefore the line has a positive slope

Answer:

el cerebro quizas no se puede ser

Answer:

Step-by-step explanation:

Answer:

tangent; inverse; 28.6

Step-by-step explanation:

You have given two legs;

You would use the inverse function, you are not given an angle;

g is about 28.61 degrees

Answer:

34°

Step-by-step explanation:

complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.

Answer:

the second one is the exponential function

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Step-by-step explanation:

to calculate common ratio

=second term divided by first term

Answer: (-5,1)

Step-by-step explanation: that should be right

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

Answer:

8 1/2

2 19/36

1 9/10

23/42

Answer:

1)

(x + 3)(x + 4) = x^2 + 4x + 3x + 12 = x^2 + 7x + 12

Instead of multiplying 3 and 4 the student added them which gave them the answer of 7 when the correct answer is 12.

2)

a) x^2 + x - 2

b) x^2 - 7x + 10

c) 4x^2 - 1

d) x^2 + 10x + 25

Step-by-step explanation:

a. (x - 1)(x + 2)

x(x) - 1(x) + 2(x) - 1(2)

x^2 - 1x + 2x - 2

x^2 + x - 2

------------------------------------------

b. (x - 5)(x - 2)

x(x) - 5(x) - 2(x) - 5(-2)

x^2 - 5x - 2x + 10

x^2 - 7x + 10

------------------------------------------

c. (2x + 1)(2x - 1)

2x(2x) + 1(2x) - 1(2x) + 1(-1)

4x^2 + 2x - 2x - 1

4x^2 - 1

------------------------------------------

d. (x + 5)^2

(x + 5)(x + 5)

x(x) + 5(x) + 5(x) + 5(5)

x^2 + 5x + 5x + 25

x^2 + 10x + 25

Answer:

1/64 = 0.015625

Step-by-step explanation:

(1/4)^3

Calculate 1/4 to the power of 3 and get 1/64

1/64