Write an exponential function to model the following situation.
A population of 140,000 grows 5% per year for 16 years.
How much will the popluation be after 16 years?
Write an exponential function in terms of x.
y=
0
Write an exponential function in terms of x

Step-by-step explanation:This is a simple question.

The food that lasts for 48 men for 16 days is 48 × 16 = 768 units.

Now because of 16 additional members i.e. a total of 64 men the food will last for:

768÷64 = 12 days. Answer.

Final answer:

The ration that would have lasted for 16 days for 48 men will now last for 12 days when an additional 16 men are added to the group, making it a total of 64 men.

Explanation:

The question concerns a problem in ration proportion related to the consumption of food by a group of men. Initially, 48 men have enough rations for 16 days. If 16 more men join this group, the total number of men becomes 48 + 16 = 64 men. We need to calculate how long the rations will last for the increased group.

We can consider this as a problem of inverse proportion where more men would consume the same amount of food in lesser time. The original group of 48 men could last 16 days, so we can set up the following proportion: 48 men × 16 days = 64 men × X days. Solving for X gives us X = (48 men × 16 days) / 64 men, which simplifies to X = 12 days. Therefore, the food would last for 12 days for 64 men.

33°≤ t ≤ 35°

Step-by-step explanation:

The body temperature of a bee is given as 35°

When it sleeps, it drops by 2°

The sleeping temperature is therefore : 35°-2°=33°

The rage of body temperature is : 33°-35°

If t is  body temperature then the rage in body temperature is;

33°≤ t ≤ 35°

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Inequalities :https://brainly.com/question/12837275

Keywords : body, temperature, sleep,drop,range, variable

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Answer:

Answer is B

surface area for a cylinder : 2 (pi) r h + 2 (pi) r^2

r= 4

h= 12

2 (pi) x 4 x 12 + 2 (pi) × 4^2

= 402 .1

Answer:

it is B

Step-by-step explanation:

Answer:

5 inches

Step-by-step explanation:

we know that

The scale drawing is

[tex]\frac{1}{4}\ in : 1\ ft[/tex]

using proportion find out the width of the great room on her plan

[tex]\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in[/tex]

Answer:

5 inches

Step-by-step explanation:

Hope this helped!!

10 hours, none more, none less

Answer:

0.75

Step-by-step explanation:

Final answer:

To convert 75% to a decimal, divide 75 by 100 to get 0.75. This conversion is necessary to express the percent of free space on a computer in decimal form.

Explanation:

To convert the percent of free space on the computer to a decimal, you can follow these steps:

The decimal equivalent of 75% is 0.75. This means that 75% of the computer's storage capacity is free space.

Answer:

x = -4

x = 6

Step-by-step explanation:

x² - 2x -24 = 0

x² - 6x + 4x - 24 = 0

x ( x - 6 ) + 4 ( x - 6) = 0

x + 4 and x- 6

so either of them is zero so values if x are

X = -4

X = 6

The Answer is (x+4) (x-6). I just took the test

Answer:

x is divided by 3

Step-by-step explanation:

Answer:

y = (-1/2)x

Step-by-step explanation:

The slope of the given line is 2, the perpendicular line wil have a reciprocal slope given by -1/2 (add a minus sign, move the slope to the denominator).

So all that's left to calculate is the offset b of a line

y = -1/2 x + b  

such that it passes through (4,-2). Filling in that point gives:

-2 = -1/2*4 + b

so b = 0!

y = -1/2x is the answer

Line perpendicular to  y = 2x - 5 is  y = (-1/2)x.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know perpendicular lines have slopes that are negative reciprocal of each other.

The given line y = 2x - 5, has a slope of 2.

So, the given line will have a slope of (-1/2) passing through point (4,-2).

∴ - 2 = (-1/2)(4) + b.

- 2 = - 2 + b.

b = 0.

∴ y = (-1/2)x is our required line.

learn more about lines and slopes here :

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The solution to the inequality 5x-3(x+1)<7 is x<5.

Step-by-step explanation:

Given inequality is;

5x-3(x+1)<7

Solving the inequality

[tex]5x-3x-3<7[/tex]

Adding 3 on both sides both sides of inequality  

[tex]5x-3x-3+3<7+3\\2x<10[/tex]

Dividing both sides of inequality by 2

[tex]\frac{2x}{2}<\frac{10}{2}\\\\x<5[/tex]

The solution to the inequality 5x-3(x+1)<7 is x<5.

Keywords: inequality, division

Learn more about division at:

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Answer:

 The standard deviation estimate by the Range Rule of Thumb = 18.3

Step-by-step explanation:

i) maximum = 96

ii) minimum = 23

iii) standard deviation [tex]\approx[/tex]  [tex]\frac{(maximum\hspace{0.1cm} - \hspace{0.1cm} minimum)}{4} = \frac{96 - 23}{4} = \frac{73}{4} = 18.25[/tex]

   The standard deviation estimate by the Range Rule of Thumb = 18.3

Answer:

Yes because 20 percent of anything, including 0, multiplied by 5 is 100 percent

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

it does work because 5x4= 20 and if you divide 20% by 5 you get 4. You can also do 20% Divided by 2 you get 100.

Answer:

28/55

Step-by-step explanation:

The probability of taking a red bead first and a white bead second is:

P(red, white) = (7/11) (4/10)

P(red, white) = 14/55

The probability of taking a white bead first and a red bead second is:

P(white, red) = (4/11) (7/10)

P(white, red) = 14/55

So the probability that one bead of each color is taken is:

P = P(red, white) or P(white, red)

P = 14/55 + 14/55

P = 28/55

Answer:

56/110=14/55

Step-by-step explanation:

you get 4 marks!

put me as brainiest please!

Answer:

40

Step-by-step explanation:

20

x   2

0x2=0

2x2=4

you have to take the bottom 2 in the ones place

then you have to multiply that by 0

last you have to multiply both 2's

and you have your answer

Answer:

cube

Step-by-step explanation:

Answer:

answer is 40z

Step-by-step explanation:

multiply the numbers and keep the variable the same

Answer:

x=0.5

Step-by-step explanation:

6x=4-2x

8x=4

x=1/2

Answer:

0.5

Step-by-step explanation:

You solve it as a 2-step equation.

0.6x=0.4-0.2x

Isolate the variables ((add 0.2x to both sides since that it how you get rid of it at the right))

Your equation should now be

0.8x=0.4

Divide both sides by 0.8 in order to get x by itself

x=0.5

Answer:

The answer is 70 if it's to whole number but if it's just rounding to the tenth spot it's 69.6

Step-by-step explanation:

It's 70 because if the tenth spot(the number after the decimal) is 5 or higher you add one on the one spot so that's why it's 70

Estimates are typically whole numbers.

To estimate an answer, you would take whatever numbers you are trying to add/subtract/multiply/divide ect. and round them to the nearest whole number then complete said action with them.  

Example: 3.99 + 33.85 + 31.74

3.99 is closest to 4

33.85 is closest to 34

and 31.74 is closest to 32

Then, we would add up all the numbers: 4 + 34 + 32 = 70

70 is very close to 69.58, therefore 70 is a good estimate.

The equation that I think you are looking for is:

c = 8h + 6

Answer: (16+6)2=y

Step-by-step explanation: Hailey is six years younger than half her mother age, and she is 16. You add six to 16, and get 22. Multiply that by 2 and get 44.

The statement is true.

Answer: Option 1.

Explanation:

An horizontal beam is constantly flat and has a consistent cross-segment. Notwithstanding normal shaft parameters, bar has the accompanying properties: Direction. A flat shaft might be situated either along the worldwide X-hub or worldwide Y-pivot.

A horizontal beam is used to hold a building up right and to give the support to the building. But the length of the horizontal beam differs in an inverse way between the supports.

Answer:

x =-2 or 0

Step-by-step explanation:

Factoring  7x2+3x-34

The first term is,  7x2  its coefficient is  7 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -34

Step-1 : Multiply the coefficient of the first term by the constant   7 • -34 = -238

Step-2 : Find two factors of  -238  whose sum equals the coefficient of the middle term, which is   3 .

     -238    +    1    =    -237

     -119    +    2    =    -117

     -34    +    7    =    -27

     -17    +    14    =    -3

     -14    +    17    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  17

                    7x2 - 14x + 17x - 34

Step-4 : Add up the first 2 terms, pulling out like factors :

                   7x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   17 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (7x+17)  •  (x-2)

            Which is the desired factorization

 (x - 2) • (7x + 17)  = 0

Answer:

cos 60° isn't equivalent

Step-by-step explanation:

cos 60°=1/2

The expression that is not equivalent to cos 150° is option C, cos 60 degrees, because it lies in the first quadrant where cosine is positive, unlike cos 150° which is negative.

The expression that is not equivalent to cos 150° is C) cos 60 degrees. The cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants. Since 150° lies in the second quadrant, cos 150° is negative. Now, if we look at the provided options, sin 240° is essentially -sin(240° - 180°), which equals -sin 60°; this is the same as cos(180° - 240°), which equals cos(330°) or cos(−30°), and therefore, equivalent to cos 150°.

Similarly, cos 210° is also in the third quadrant where cosine is negative; this is the same as -cos(210° - 180°), which equals -cos 30° which also equals -sin 60°. Therefore, this is equivalent to cos 150° as well. In contrast, cos 60° lies in the first quadrant where cosine is positive, which does not match the sign of cos 150°. Lastly, -sin 60° is simply the negative of sin 60° and since sin 60° = cos 30°, it matches the value of cos 150° in terms of magnitude but is opposite in sign, thus it is equivalent to cos 150°.

Therefore, option C, cos 60 degrees, is not equivalent to cos 150°.

Answer:

I believe the answer is angle A.

Step-by-step explanation:

I think it is angle A because INCLUDED angle between WA AS and only angle a is included in both. Hope this helps.

Answer:

Step-by-step explanation:

Answer:

it could be a isosceles triangle.

Step-by-step explanation:

A right triangle can also be an isosceles triangle.

Final answer:

A right triangle, which always has a 90-degree angle, can be either Scalene if all sides are different lengths, or Isosceles if two sides are equal. The classification depends on the lengths of the sides. Additionally, right triangles are fundamental to the application of the Pythagorean theorem.

Explanation:

A right triangle is a type of triangle that has one angle measuring exactly 90 degrees. Despite always having this right angle, right triangles can vary in the lengths of their other sides and the measures of their other angles. So, a right triangle can also be classified based on its side lengths:

Therefore, the type of right triangle depends on the specific side lengths and can be either Scalene or Isosceles. The understanding of right triangles also extends to concepts such as the Pythagorean theorem, which relates the lengths of the sides of a right triangle, stating that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Answer:

The correct option is b.) $2.28

Step-by-step explanation:

i) the gas tank is of 15 gallons

ii) there are three gallons left in the gas tank

iii) therefore the tank has to be filled with 15 - 3 = 12 gallons

iv) lower grade of gasoline costs $2.96 per gallon

v) the upper grade of gasoline costs $3.15 per gallon

vi) the cost of filling the tank with the lower grade gasoline

   = 12 [tex]\times[/tex] 2.96 = $35.52.

vii) the cost of filling the tank with the lower grade gasoline

    = 12 [tex]\times[/tex] 3.15 = $37.80

viii) therefore  the difference in the cost of filling your tank between the two grades

  = $37.80 - $35.52 = $2.28

Therefore the correct option is b.) $2.28

Final answer:

The difference in the cost of filling the 15-gallon gas tank between the two grades of gasoline is $2.28.

Explanation:

Firstly, let's calculate how many gallons are needed to fill the car's tank completely, since it currently has 3 gallons left in a 15-gallon tank. This means the car requires 15 - 3 = 12 gallons of gasoline to be filled up.

Next, we calculate the cost to fill up the car with the lower grade gasoline that costs $2.96 per gallon. The cost for 12 gallons would be 12 x $2.96 = $35.52.

Then, we calculate the cost to fill up the car with the premium gasoline that costs $3.15 per gallon. The cost for 12 gallons would be 12 x $3.15 = $37.80.

Finally, to find the difference in cost between the two grades of gasoline, we subtract the lower cost from the higher cost: $37.80 - $35.52 = $2.28. Hence, the difference in cost is $2.28, so the correct answer is option (b).

Answer:

4.5

Step-by-step explanation:

The equation above is such that we find the value of p. Therefore, it is calculated thus:

0.5p - 3.45 = -1.2

Add 3.45 to both sides of the equation

0.5p - 3.45 + 3.45 = -1.2 + 3.45

0.5p = 2.25

Divide both sides by 0.5

0.5p/ 0.5 = 2.25/0.5

p = 4.5

Answer: The answer is 4.5

Step-by-step explanation:

0.5p - 3.45 = -1.2

So basically, you take everything on the left of the equal sign (0.5p-3.45) then since the sign is telling you to subtract, you use the inverse operation, so you would add 0.5 to the 3.45 and to the -1.2. So when you add the 0.5 to the 3.45, it cancels out, and when you add it to the -1.2, you should get 2.25. Then now that your done adding, your expression should be: 0.5p = 2.25. Then, now that you have 0.5p = 2.25, and there is no sign, multiplication is expected, but since were using the inverse operation, were dividing. So, 0.5p divided by 0.5 cancels out, and then you divide the 2.25 by 0.5 and you should get 4.5 after dividing. So, your final answer should be p = 4.5.

Hope this helps!!  

Answer:

no solution

Step-by-step explanation:

36-7x=-7(x-5)

first what we have to do is do the multiplications

36 - 7x = -7x + 35

we add 7x from both sides

36 - 7x + 7x = - 7x + 7x + 35

36 = 35

we subtract 36 from both sides

36 - 36 = 35 - 36

0 = -1

This means that the system has no solution

if we look at the equation at the beginning we can realize since we have the same term on both sides "-7x" and a term without x on each side, this means that we can never find a value of x that meets the conditions

Answer:

Ans = 15/32

Step-by-step explanation:

-3/4 / (-8/5)

= -3/4 ÷ (-8/5)

= -3/4 * -5/8

= 15/32 (- * - = +)