please help asap !!!!

Answer:

6 years old

Step-by-step explanation:

Given

[tex]f(t) = 200(1 -0.956e^{-0.18t})[/tex]

Required

Find t when f(t) = 140cm

Substitute f(t) = 140cm

[tex]140 = 200(1 -0.956e^{-0.18t})[/tex]

Divide both sides by 200

[tex]0.7 = 1 -0.956e^{-0.18t}[/tex]

Collect like terms

[tex]0.956e^{-0.18t} = 1 -0.7[/tex]

[tex]0.956e^{-0.18t} = 0.3[/tex]

Solve for t

[tex]e^{-0.18t} = 0.3/0.956[/tex]

[tex]e^{-0.18t} = 0.31381[/tex]

Take natural logarithm of both sides

[tex]ln(e^{-0.18t}) = ln(0.31381)[/tex]

[tex]-0.18tln(e) = ln(0.31381)[/tex]

[tex]-0.18t*1 = ln(0.31381)[/tex]

[tex]-0.18t = -1.159[/tex]

Solve for t

[tex]t = (-1.159)/(-0.18)[/tex]

[tex]t = 6.43[/tex]

[tex]t \approx 6[/tex]

Answer:

-3.6

Step-by-step explanation:

Simplifying

7 + 3x + 4 = 0

Reorder the terms:

7 + 4 + 3x = 0

Combine like terms: 7 + 4 = 11

11 + 3x = 0

Solving

11 + 3x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0

0 + 3x = 0 + -11

3x = 0 + -11

Combine like terms: 0 + -11 = -11

3x = -11

Divide each side by '3'.

x = -3.666666667

Simplifying

x = -3.666666667

Answer:

B

Step-by-step explanation:

Answer:

Of whaT?

But thanks for the free points

Answer:

80 cups

Step-by-step explanation:

There are 640 ounces in 5 gallons so,

640 divided by 8 equals 80, therefore,

The greatest number of cups that can be served are 80

simply divide the numerator and denominator by 9 (the GCF). So, 927 = 9÷927÷9 = 13. Thus, 927 is equivalent to 13 in the reduced form.

Answer:

It's simplified form is 1:3

Step-by-step explanation:

1st step: Convert them into fraction i.e.

[tex] \frac{9}{27} [/tex]

2nd step: Now check for their HCF i.e 9 so,

[tex] \frac{9 \div 9}{27 \div 9} [/tex]

And divide it with both the numerator and denominator and the result is,

[tex] \frac{1}{3} [/tex]

3rd step: Now convert them into ratio i.e

1:3

Hence, 9:27 simplified format is 1:3 (Ans)

Answer: I thinnk the answer is 6.86

4.90 divided by 5=0.98

0.98 times 7=6.86

Step-by-step explanation:

Answer:

0=26

Step-by-step explanation:

Distribute

3(4−2)−5=6−7(−−2)

12−6−5=6-7(-x−2)

Combine like terms

12−6−5=6−7(−−2)

7−6=6−7(−−2)

Distribute

7−6=6−7(−−2)

7−6=6+7x+14

Answer

0=26

The solution to the equation 3 (4x - 2) - 5x = 6 - 7 (-x -2) does not exist

From the question, we have the following parameters that can be used in our computation:

3 (4x - 2) - 5x = 6 - 7 (-x -2)

Open the brackets

So, we have

12x - 6 - 5x = 6 + 7x + 14

Evaluate the like terms

So, we have the following representation

7x - 6 = 7x + 20

Next, we have

7x - 7x = 20 + 6

So, we have

0 = 26

This is false

Hence, the solution is no solution

Read more about equation at

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Step-by-step explanation:

24x-19=0

24x=19

x=19/24

16x+13=0

16x=-13

x=-13/16

Answer:

5:4

Step-by-step explanation:

10/2:8/2= 5:4

Answer:

Step-by-step explanation:

Answer:0.33333333333

Step-by-step explanation:no need

There is about 866 possible combinations. (please mark brainiest)

Answer:

Step-by-step explanation:

7v = v+12

6v = 12

v = 2

me Q i did not know somebody Help My frann

Answer:

a. 122 degree is the answer

Answer:

55

Step-by-step explanation:

125+55=180

or

180-125=55

Answer:

Angle x is

Step-by-step explanation:

Angle xis equal to 125(alternate angle)

Answer:

345 cm squared I believe

I'm not 100% sure

Answer:

z test of independent averages

chi-squared goodness of fit test

ANOVA

test of two proportions

paired t-test

chi-squared test of independence

t test of independent averages

Step-by-step explanation:

Answer:

10 yards

Step-by-step explanation:

Answer:

sophie receives £210

Step-by-step explanation:

120÷4=30

30x7=210

Answer:

5 people

Step-by-step explanation:

40/7=5.71

Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone

Answer:

-3

Step-by-step explanation:

subtract 10 to the 25 so that cancels out the 10, you are left with -5m=15, then you divide the -5m by -5 to cancel it out on both sides. that leaves you with m by itself and once you do the division of 15 by -5 the result is -3

Answer:

2031

Step-by-step explanation:

3000divide100=30x5=150x14=2100

2017+14=2031 w

In 2031 years, the first year with less than 1000 polar bears in the region.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number of polar bears in a region is decreasing by 5% per year.

And, There are 3000 polar bears in the region in 2017.

Let after x years there are less than 1000 polar bears in the region.

Hence, We can formulate;

⇒ 3000 - 5% of 3000 × x < 1000

⇒ 3000 - 5/100 × 3000 × x < 1000

⇒ 3000 - 150x < 1000

⇒ 3000 - 1000 < 150x

⇒ 2000 < 150x

⇒ 2000/150 < x

⇒ 13.33 < x

So, The first  year with less than 1000 polar bears in the region is getting after 14 years.

So, The value of years = 2017 + 14

                                   = 2031

Learn more about the mathematical expression visit:

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Answer:

Okay, im sorry i have no idea how to work dis