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levacccp [35]
3 years ago
14

Can someone help me solve this?!​

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer:

10x+2

Step-by-step explanation:

First we work on the paranthesis. We will times 5 and 2x to get 10x

and then we times 5 and 3/4 to get 3\frac{3}{4}

So now we have 10x+3\frac{3}{4}-1.75

Next, we subtract 3\frac{3}{4}-1.75 which is 2

Lastly we look at the equation as a whole!

10x+2

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The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900
Tems11 [23]
The poopulation exponential model is given by

P(t)=P_0e^{kt}

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.

Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

970=790e^{50k} \\  \\ \Rightarrow e^{50k}=1.228 \\  \\ \Rightarrow 50k=\ln{1.228}=0.2053 \\  \\ \Rightarrow k=0.0041

Thus, the exponential equation using the 1750 and the 1800 population values is P(t)=790e^{0.0041t}

The population of 1900 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times150} \\  \\ =790e^{0.6158}=790(1.8511) \\  \\ =1,462

The population of 1950 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times200} \\  \\ =790e^{0.821}=790(2.2729) \\  \\ =1,796

From the table, it can be seen that the actual figure is greater than the exponential model values.
7 0
3 years ago
Georgia Preserves is test marketing a new peach-orange marmalade. The following responses were collected from 500 people who wer
Dovator [93]
The right answer for the question that is being asked and shown above is that: ""I'll probably try it, but only if I have a discount coupon." = 153 responses." The relative error is <span>"I'll probably try it, but only if I have a discount coupon." = 153 responses</span>
3 0
3 years ago
You’ve bought a cylindrical thermos 8 in. high with a base 6 in. across. How much coffee can you put in the thermos?
lana66690 [7]

Answer:

3.706 liters

Step-by-step explanation:

Hello

assuming that these measures correspond to the internal measures of the thermos,

we can calculate the volume as, the volume of a cylinder, which is given by

V=\pi r^{2} h

where r is the radius of the base, and h the height

also

Diameter=2r

r=Diameter/2

Step 1

let

h=8 in

base = diameter = 6 inch

r=diameter/2

r=6/2 inch,r=3 inch

Step 2

Put the values into the equation

V=\pi r^{2} h\\V=\pi (3in)^{2} (8 in)\\V=\pi *72 \ in^{3} \\\\V=72\pi\ in^{3} \\\\

Step 3

Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing

1 inch = 2.54 cm

1 litro =  1000 cubic centimeters

if\ 1\ inch\ = 2.54\ cm\\(1\ inch)^{3} =(2.54\ cm)^{3}\\\\1\ inch^{3}=16.3870\ cm^{3}

1 cubic inch = 16.3870 cubic centimeters

1\ cubic\ inch\ = 16.3870\ cubic\ centimeters\\\\\\72\pi =x?\ cubic\ centimeters\\\\x=\frac{72\pi \cubic \ inch\ \*16.3870 }{1\ cubic\ inch} \\\\x=3706.65\ cubic\ centimeters

Step 4

Finally, convert cubic centimeters into liters1000\ cubic\ centimeters =1\ liter \\\\\\3706.65\ cubic\ centimeters = x?\ liters\ centimeters\\\\x=\frac{3706.65 \cubic \ centimeters\ \*1 liter}{1000 cubic centimeters} \\\\x=3706.65\ cubic\ centimeters\\x=3.706 Liters

I can put 3.706 liters in the thermos

Have a good day

4 0
3 years ago
Listed are the quantities of green grapes Martha bought for four months in the amount that she spent on them. In May, she bought
Firlakuza [10]

Answer:

It is in February that the unit price of grapes ($2.70 per pound of grapes) is the same as that of May.

Step-by-step explanation:

Complete Question

Select the correct month.

Listed are the quantities of green grapes Martha bought for four months and the amount that she spent on them. In May, she bought 2 pounds of grapes for $5.40, in which month was the unit price the same as it was in May?

January

2 pounds for $7.40

February

4 pounds for $10.80

March

5 pounds for $11.65

April

3 pounds for $7.50

Solution

In May, Martha bought 2 pounds of grapes for $5.40.

The unit price per pound = (5.40/2) = $2.70 per pound of grapes.

We can then do this for the months given to obtain which month in which the unit price is the same as it was in May?

For January

She bought 2 pounds of grapes for $7.40

Unit price per pound = (7.40/2) = $3.70 per pound of grapes.

For February

Martha bought 4 pounds of grapes for $10.80.

Unit price per pound = (10.80/4) = $2.70 per pound of grapes.

March

She bought 5 pounds of grapes for $11.65.

Unit price per pound = (11.65/5) = $2.33 per pound of grapes.

April

She bought 3 pounds of grapes for $7.50.

Unit price per pound = (7.50/3) = $2.50 per pound of grapes.

It is evident that it is in February that the unit price of grapes ($2.70 per pound of grapes) is the same as that of May.

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
Pls help me I will mark no need explanation ❤️❤️
trasher [3.6K]

Answer:

-1/3

Step-by-step explanation:

It's going 1 down and 3 across

5 0
3 years ago
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