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2 years ago

Someone please help me

Mathematics

1 answer:

Lilit [14]2 years ago

7 0

<h3>Answer:</h3>

C. (9x -1)(x +4) = 9x² +35x -4
B. 480
A. P(t) = 4(1.019)^t

Step-by-step explanation:

1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.

2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...

... (d+43) + d = 1003

... 2d = 960 . . . . . . . subtract 43

... d = 480 . . . . . . . . divide by 2

The second voyage lasted 480 days.

3. 1.9% - 1.9/100 = 0.019. Adding this fraction to the original means the original is multiplied by 1 +0.019 = 1.019. Doing this multiplication each year for t years means the multiplier is (1.019)^t.

Since the starting value (in 1975) is 4 (billion), the population t years after that is ...

... P(t) = 4(1.019)^t

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Given: 8x-61=17, prove: 39/4

Degger [83]

Answer:

The solution is $x = \frac{39}{4}$

Step-by-step explanation:

We are given the following equation:

8x - 61 = 17

We want to find the solution, that is, the value of x. So

$8x - 61 = 17$

$8x = 78$

$x = \frac{78}{8}$

Simplifying by 2

$x = \frac{39}{4}$

The solution is $x = \frac{39}{4}$

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2 years ago

Nick's dad wanted to measure the length of his backyard and asked Nick to do this with his footsteps. Since it was winter, they

Lerok [7]

Answer:

2244 cm

Step-by-step explanation:

The first first thing we must do is find the LCM of the following numbers

(51; 68) = 204.

This means that the first time they coincide is at 204.

Now, since his steps always coincide after 204

In Nick's case

Nick's 204 ÷ 51 = 4th step

and in the case of the father

204 ÷ 68 of his father = 3rd step.

Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.

Replacing these values we have that the total distance will be:

67-1 (initial step) / (6 * 204) = 2244 cm

7 0

2 years ago

Julian has a computer game that responds with either "go" or "stop" when a button is pressed. The probability that the response

Ganezh [65]

Answer:

Step-by-step explanation:

I think you are just asking for the decimal answers.

3/20 = 0.15

9/50 = 0.18

38/200 = 0.19

4 0

2 years ago

Are:

eimsori [14]

Step-by-step explanation:

a. The mean can be found using the AVERAGE() function.

x = 272.7

b. The standard deviation can be found with the STDEV() function.

s = 39.9

c. The t-score can be found with the T.INV.2T() function. The confidence level is 0.04, and the degrees of freedom is 26.

t = 2.162

d. Find the lower and upper ends of the confidence interval.

Lower = 272.7 − 2.162 × 39.9 = 186.5

Upper = 272.7 + 2.162 × 39.9 = 358.9

4 0

2 years ago

7. A vase 25 cm tall is positioned on a bench near a wall as shown. The shape of the vase follows the curve y = (x - 10)^2, wher

Kitty [74]

Answer:

Step-by-step explanation:

the base of the vase will be where the vase touches the x-axis, that is 10 cm, therefore, the base is 10 cm from the wall

b) 25 = x^2 -20x +100, we solve for x to find the closest distance since as we move up the vase the distance to the wall gets closer(assume the y-axis is the wall), then

x^2 -20x +75 = 0 (x-15) * (x-5) = 0

x = 15 and x = 5

we reject x = 15

the shortest distance from the top of the vase to the wall is 5 cm

c) this is a left shift of the equation y = (x-10)^2

from b) we know that the left shift is 5 cm

10 - 5 = 5 cm from the wall to the base

d) y = (x-10+5)^2

y = (x-5)^2

4 0

1 year ago