The population of a certain inner-city area is estimated to be declining according to the model P(t)=184,000e^−0.012t, where t is the number of years from the present. What does this model predict the population will be in 6 years? Round to the nearest person.

__________ people

108 people 12 days

the people:days=108:12

BUT this is not simplified of course

We simplify ratios like a fraction.

We can see that both numbers are divisible by 12

So we can do

108÷12/12÷12=9/1 (answer)

To know that both are divisible by 12 isn't hard as long as you are observant and are good with numbers and the divisibility rules of 2 and 3.

Answer and Step-by-step explanation:

First, we plug in the value of 3 for x in g(x), then we plug the answer os g(x) into the value of x in f(x).

g(3) = 2(3) - 7

Multiply 2 by 3, then subtract 7.

g(3) = 6 - 7

g(3) = -1

Now, we plug -1 for x in f(x).

f(g(3)) = f(-1) = -1 + 1

f(-1) = 0

The value of f(g(3)) is 0.

#teamtrees #PAW (Plant And Water)

the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

what is  expression ?

In mathematics, an expression is a combination of mathematical symbols (such as numbers, variables, and operators) that represents a mathematical object or relationship.

In the given question,

We can use the trigonometric identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b) to simplify cos(x - y), and cos(a + b) = cos(a)cos(b) - sin(a)sin(b) to simplify cos(x + y).

cos(x - y) = cos(x)cos(y) + sin(x)sin(y)

cos(x + y) = cos(x)cos(y) - sin(x)sin(y)

Therefore,

cos(x - y) - cos(x + y) = (cos(x)cos(y) + sin(x)sin(y)) - (cos(x)cos(y) - sin(x)sin(y))

= cos(x)cos(y) + sin(x)sin(y) - cos(x)cos(y) + sin(x)sin(y)

= 2sin(x)sin(y)

So, the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

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simplify the expressions  cos(x − y) − cos(x + y) ?

Answer:

answer: negative five eighths

The solution to the expression one half cubed − 6 ÷ square root of 64 is A. negative five-eighths.

Given a fractional expression:

One half cubed − 6 ÷ square root of 64

It is required to find the value of the expression.

This can be numerically written as:

\((\frac{1}{2} )^3-6\div\sqrt{64}\)

It is known that:

\(\sqrt{64}=8\)

So, the expression can be written as:

\((\frac{1}{2} )^3-6\div8\)

Now, \((\frac{1}{2} )^3=\frac{1}{2^3}\)

                \(=\frac{1}{8}\)

So, the expression becomes:

\((\frac{1}{8} )-6\div8\)

Using the BODMAS rule, division has to be done first before subtraction.

So, the expression becomes:

\((\frac{1}{8} )-\frac{6}{8}=-\frac{5}{8}\)

Hence, the correct option is A. negative five-eighths.

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Answer:

189

Step-by-step explanation:

(13.5 / 100) 1400 = 189

yw ;)

Answer:

Min: 1

Q1: 2
Median: 7
Q3: 9
Max: 11.5

Step-by-step explanation:

The five bars of the box plot correspond (from left-to-right) to the numbers in the five-number summary.

The first bar represents the minimum, which in this case is 1.

The second bar represents the first quartile (Q1), which in this case is 2.

The third bar represents the median, which in this case is 7.

The fourth bar represents the third quartile (Q3), which in this case is 9.

And the fifth bar represents the maximum, which in this case is 11.5.

Answer:

Min: 1

Q1: 2

Median: 7

Q3: 9

Max: 11.5

Step-by-step explanation:

I hope it helps:)

Answer:

There is no sufficient evidence to support the claim that mean commuting time is more than 1.9 hours

Step-by-step explanation:

From the question we are told that

   The  population mean is  \(\mu = 1.9 \ hr\)

   The  sample mean is  \(\= x = 2.2\)

    The standard deviation is  \(\sigma = 0.7\)

     The  sample size is  \(n = 14\)

      The level of significance is  \(\alpha = 0.01\)

The null hypothesis is  \(H_o : \mu = 1.9 \ hr\)

The  alternative hypothesis is \(H_a : \mu > 1.9 \ hr\)

 Generally the test statistics is mathematically represented as

               \(t = \frac{\= x - \mu }{ \frac{\sigma}{ \sqrt{n} } }\)

              \(t = \frac{ 2.2 - 1.9 }{ \frac{0.7 }{ \sqrt{14} } }\)

             \(t = 1.6036\)

The  p-value is obtained from the z-table,  the value is  

           \(p-value = P(t > 1.6036) = 0.054401\)

Looking at the value of  \(p-value \ and \ \alpha\)  we see that  \(p-value > \alpha\)

So we fail reject the null hypothesis

    Hence we can conclude that there is no sufficient evidence to support the claim that mean commuting time is more than 1.9 hours

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.

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Answer:

kjgfdhsxfcgmnhmj,kouiyf

Step-by-step explanation:ugytfguilhyuyrtdyrjcgvh

Answer:

340 oz

Step-by-step explanation:

20 lb = 320 ounces

320 oz + 20 oz = 340 oz

Giving thanks, brainliest, or rating would be appreciated!

Answer:

A

Step-by-step explanation:

The period is stretched by 30 and divided by pi, meaning that the wheel rotates does a full rotation every 60 seconds. But the most important part is vertical stretch of 47 and shift up of 52. At the peak it would be 99 since the peak is 47 with the stretch but add 52 from the shift and it would be 99.

The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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When you have negative numbers you can see that numbers in a number line to see what is the greatest and what is the least:

In a number line you put the 0 as the center and to the right you put the possitive numbers and in the left of the 0 the negative numbers, as follow:

Then you can put the numbers you have in a number line:

You get

Purle: -7

Red; -2

Blue: 1

Green: 4

Black: 6

The least number is the number that is more to the left and the greatest is the number taht is more to the right

To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples

In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.

The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.

I, it suggests that electrical stimulation does improve meat tenderness.

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Yes the design is similar to the actual cover because if we divide the lengths of the actual cover by 4 then we will ge tthe lenghts of the cover shown in the graph.

For example length SR of the actual cove is 12 units while the corresponding length in the graph is 3 units.

So the correct option is the first one

Yes; the corresponding sides are proportional

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

43

Step-by-step explanation:

only 7 out of the 50 got both wrong

Answer:

Step-by-step explanation:

Write the options so they are homogeneous in content. • Use answers given in previous open-ended exams to provide realistic distractors. 2. Use a Question ...

Answer:

Yes

Step-by-step explanation:

Based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

To determine the distance between Houston, TX and Dallas, TX using the given scale, we can set up a proportion using the distances on the map and the actual distances.

Let's denote the distance between Houston and Dallas as "x" (in miles).

According to the scale provided, 2.3 centimeters on the map represents a distance of 348 miles. This can be expressed as:

2.3 cm / 348 miles = 1.6 cm / x miles

To find the value of "x," we can cross-multiply and solve the equation:

(2.3 cm) * (x miles) = (1.6 cm) * (348 miles)

2.3x = 556.8

Divide both sides by 2.3 to isolate "x":

x = 556.8 / 2.3

x ≈ 242.0869565

Therefore, based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

Please note that this is an approximation based on the given scale and the assumption that the scale is linear and consistent throughout the map. Actual distances may vary and should be verified using more accurate measurements or reliable sources.

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Answer: n= 4

Step-by-step explanation:

n+10=2(n+6) where n represents the number

you solve this.

n+10=2n+6

n+10-6=2n

n+4=2n

n=4

Answer:

1.3x10^-6

trust me it's right

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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Answer:

\(x=-4+\sqrt{2}\)

\(x=-4-\sqrt{2}\)

Step-by-step explanation:

The quadratic formula is an equation that can be used to find the roots of a quadratic equation when one is given the equation in standard form. A quadratic equation in standard form is the following,

\(ax^2 +bx + c=0\)

The quadratic formula is the following,

\(\frac{(-a)(+-)\sqrt{(x)^2-4(b)(c)}}{2(a)}\)

Substitute in the given coefficients for the following equation,

\(2x^2 + 16x + 28 = 0\)

Substitute,

\(\frac{-16(+-)\sqrt{(16)^2-4(2)(8)}}{2(2)}\)

Simplify,

\(\frac{-16(+-)\sqrt{256-224}}{4}\\\\=\frac{-16(+-)\sqrt{32}}{4}\\\\=\frac{-16(+-)4\sqrt{2}}{4}\\\\=-4(+-)\sqrt{2}\)

The roots of the quadratic equation (\(2x^2+16x+28=0\)) are  (\(x=-4+\sqrt2\)) and (\(x=-4-\sqrt{2}\))

Answer:

\(f^{-1}(x)=-\sqrt[4]{\frac{x}{3}}\)      \(x\geq 0\)

Step-by-step explanation:

See attached for step-by-step and explanation.

The ratio of the number of blue lights to total lights is 3:5

The total number of lights is 190

To solve the problem we need to have the ratios out first.

we have a ratio of blue to white lights as

3 : 2

The ratio of the number of blue lights to white lights would be

114 : x

Such that we would have

3:2 = 114:x

This would give us

\(\frac{3}{2 } =\frac{114}{x}\)

We would have to solve for the  value of x

To do this we are to cross multiply

3*x = 114*2

3x = 228

x = 228 / 3

= 76

ratio = 3 + 2 = 5

3 : 5

The proportion that can be used to solve for t is given as 114 : 3 = 38

38 x 5 = 190

or 114 + 76 = 190

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Answer:

10

Step-by-step explanation:

it is the middle value after you have put the numbers in numerical order

9514 1404 393

Answer:

  x^2/81 -y^2/19 = 2500

Step-by-step explanation:

The time difference between signals is 3 µs, so the distance difference is ...

  (300 m/µs)(3 µs) = 900 m

If we assume the coordinates of Q are (-500, 0), then the distances from point X to the control towers are ...

  XQ = √((x +500)^2 +y^2)

  XR = √((x -500)^2 +y^2)

We want the difference in distances to be 900, so we have the equation ...

  |XQ -XR| = |√((x +500)^2 +y^2) -√((x -500)^2 +y^2)| = 900

Squaring both sides gives ...

  (x +500)^2 +2(x +500)y +y^2 -2√(((x +500)^2 +y^2)((x -500)^2 +y^2)) +((x -500)^2 +y^2) = 810000

Separating the root from the rest of the equation, squaring again, and simplifying the rather messy expression, we can arrive at the equation ...

  x^2/81 -y^2/19 = 2500 . . . . . a hyperbola opening horizontally

Answer:

B

Step-by-step explanation:

The domain is the set of \(x\)-values.

Answer:

c

Step-by-step explanation:

it would have some exponent but its the only one that is constant