The population of a city was 136 thousand in 1992. The exponential growth rate was 1.7% per year.a) Find the exponential growth function in terms of t, where t is the number of years since 1992.P(t) = 136,000 e 0.0177b) Predict the population in 2005, to the nearest thousand.(Round to the nearest thousand as needed.)

Answer:

27-[38-{46-(15-13-2)}]

27-(38-(46-0)

2-(38-46)

27-(-8)

27+8

35

Is this better

Answer:

A.  fourteen sixteenths

Step-by-step explanation:

\(1\frac{3}{4} x \frac{2}{4}\)

\(\frac{7}{4} x \frac{2}{4}\)

\(\frac{14}{16}\)

Hope I helped you out!

~PumpkinSpice1

♥☼☺

Answer:

A it didnt let me answer at first and it dose now

Step-by-step explanation:

In this triangle, the product of sin B and tan C is\(b^2/(ac)\)  , and the product of sin C and tan B is \(c^2/(ab)\).

In a right-angled triangle ABC, where angle A is 90 degrees, we have the following side lengths:

AB = c (base)

BC = a (hypotenuse)

AC = b (perpendicular)

We need to calculate the products of sin B and tan C, and sin C and tan B.

First, let's calculate sin B and tan C:

sin(B) = opposite/hypotenuse = AC/BC = b/a

tan(C) = opposite/adjacent = AC/AB = b/c

The product of sin B and tan C is sin(B) * tan(C) = (b/a) * (b/c) = \(b^2\)/(ac).

Next, let's calculate sin C and tan B:

sin(C) = opposite/hypotenuse = AB/BC = c/a

tan(B) = opposite/adjacent = AB/AC = c/b

The product of sin C and tan B is sin(C) * tan(B) = (c/a) * (c/b) = \(c^2\)/(ab).

Therefore, in the given right-angled triangle ABC, the product of sin B and tan C is\(b^2\)/(ac), and the product of sin C and tan B is \(c^2\)/(ab).

These formulas hold true for any right-angled triangle, where the base is AB, the hypotenuse is BC, and the perpendicular is AC.

For more such information on: triangle

https://brainly.com/question/29869536

#SPJ8

The question probable may be:

In this triangle, the product of sin B and tan C is _____ , and the product of sin C and tan B is _______.

Answer:

5

Step-by-step explanation:

firstly, what are complementry angles.complementary angles are angles that su

m up to 90°

(12x-18)+(5x+23)=90

collecting like terms

12x+5x+23-18=90

17x-5-90=0

17x-95=0

17x=95

divide through by 17

x=5

The measure of the smaller angle when complementary angles are given is 42 degree.

Complementary angles are two angles whose total is 90 degrees in geometry. In other terms, complimentary angles are two angles whose sum is 90 degrees. 60° and 30°, for instance.

The first angle of the triangle is (12x - 18).

The measure of the second angle of the triangle is (5x + 23).

As both angles are complementary, their sum would be equal to 90 degree.

(12x - 18) + (5x + 23) = 90

12x -  18 + 5x + 23 = 90

17x = 85

x = 5

Substitute the value of x = 5 in the given angles.

(1) 12x - 18 = 12×5 - 18

    = 42 degrees

(2) 5x + 23 = 5×5 +23

    = 48 degrees

Therefore, the smaller angle is found to be 42 degrees.  

To know more about angles with examples, here

https://brainly.com/question/24236722

#SPJ2

Answer:uhhhh

Step-by-step explanation:

So yeah

Answer:

don't know

.....................

Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

\(a^{2} = 3^{2} + 6^{2} = 45\)

Now user Pythagoras on triangle 2.

\(b^{2} = x^{2} + 6^{2} = x^{2} + 36\)

Now use Pythagoras on triangle 3 (the big triangle).

\((3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}\)

Now replace the values for \(a^{2}\) and \(b^{2}\) from the two equations derived from triangle 1 and 2:

\(x^{2} + 6x + 9 = 45 + x^{2} + 36\)

The two \(x^{2}\) get cancelled out, so:

\(6x + 9 = 45 + 36\\x = 12\)

TA DA!

Answer:

Beginning (t=0) population with flu is 23.

After 4 weeks, population with flu is 1250.

After an infinite amount of weeks, the population witf flu is 102000

Step-by-step explanation:

First question asks you to replace t with 0 because it says beginning.

102000/(1+4400e^-0)=102000/(1+4400)=102000/4401=23.17655 approximately. To nearest whole number this is 23.

After 4 weeks means we replace t with 4:

102000/(1+4400e^-4)

Calculator time:

1250.17142 which to nearest whole number is 1250

If t is super large, then e^-t is super close to 0.

So the limiting number is

102000/(1+4400×0)=102000/1=102000

Answer:

{ }                    [Empty set]

Step-by-step explanation:

x + 4 = 3

=> x = 3 - 4

=> x = -1

but -1 is not natural and only one solution for this equation.

Therefore, no set of natural numbers.

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

Answer:

Step-by-step explanation:

1. Begin by graphing the y-intercept of +1. The y-intercept exists where x = 0; therefore, the coordinate of the y-intercept is (0, 1). Plot this point.

2. From the y-intercept, incorporate the slope by going up or down then right or left. The slope is 2, which can be written as +2/+1; this means from the y-intercept you will move up 2 units and then over to the right 1 unit and make another point.

3. Connect the 2 points to make your line.

Given:

The statement is:

{5, 6, 7} = {5, 5, 6, 7, 7}

To find:

Whether the given statement is true or false.

Solution:

Two sets are equal if they have exactly the same elements.

The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.

Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,

{5, 5, 6, 7, 7} = {5, 6, 7}

Therefore, the given statement is true.

Answer:

Step-by-step explanation:

12q + 3r = 15

-12q - 12r = -132

-9r = -117

r = 13

12q + 3(13) = 15

12q + 39 = 15

12q = -24

q = -2

(-2, 13)

b is the answer

Answer:

(-2,13)

Step-by-step explanation:

i took the test and can confirm its 100% on edge

If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.

Two or more expressions with an Equal sign is called as Equation.

The statement "If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes"

Substitutes are two goods that can be used in place of each other for a similar purpose.

In this case, if the price of blue jeans increases, consumers may switch to buying more tennis shoes instead, since they serve a similar purpose in terms of clothing.

Complements are two goods that are used together, such as peanut butter and jelly.

Normal goods are goods whose demand increases as income increases, while inferior goods are goods whose demand decreases as income increases.

Hence, If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

We were given:

X = 61% = 0.61

P = 65% = 0.65 =μ

n = 900

α = 0.05

let us first get the value of Z

Recall,

On substitution

z = -2.5

Let us get the probability at z = -2.5

From the table:

P = 0.0062

Since the probability calculated is bigger than ).05 the given probability, then the company's claim is not true

Also,

Null Hypothesis states that:

While,

Alternative Hypothesis states thus:

The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

For more such questions on Smallest integer:

https://brainly.com/question/30076540

#SPJ8

Answer:

y + 5 = 3y - 1

2y = 6, so y = 3

4x - 2 = x + 10

3x = 12, so x = 4

Answer:

2cups of flour

Step-by-step explanation:

because a cup of baking soda is the same as 1 cup of baking soda

The expression which is equivalent to 1/4 (5x + 6) is; Choice A: {5(1/4)x} + {6(1/4)x}.

According to the question:

In a bid to expand the expression; we must multiply each term in the parenthesis by (1/4);

In essence; we have;

Read more on multiplication;

https://brainly.com/question/847421

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

For more such questions on probability visit:

https://brainly.com/question/251701

#SPJ8

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

For more such questions on rank

https://brainly.com/question/28839672

#SPJ8

Answer:

Imma write it in the explanation

Step-by-step explanation:

6. interior angles, alternate angles

for c to be parallel with d, we need 2 and 7 to be interior angles (a+b=180°, u/c shaped), and 3 and 5 to be alternate angles (a=b, z shaped).

7. 1+3=180°, 2+4=180°

there were 2 parallel lines in a trapezium, so for the c shape on 1 and 3 they add up to 180°, and same thing to 2 and 4.

Answer:

m∠R = 112°

m∠S = 112°

m∠T = 68°

Step-by-step explanation:

Quadrilateral QRST is a cyclic quadrilateral.

A cyclic quadrilateral is a quadrilateral drawn inside a circle where every vertex touches the circumference of the circle.  

The opposite angles in a cyclic quadrilateral sum to 180°.

⇒ m∠Q + m∠S = 180°

⇒ m∠R + m∠T = 180°

Given:

Measure of angle Q

⇒ m∠Q + m∠S = 180°

⇒ 68° + m∠S = 180°

⇒ m∠S = 180° - 68°

⇒ m∠S = 112°

Measure of angles R and T

⇒ m∠R + m∠T = 180°

⇒ (3x + 40)° + (5x - 52)° = 180°

⇒ )8x -12)° = 180°

⇒ 8x° = 192°

⇒ x = 24

Substituting the found value of x into the expressions for angles R and T:

⇒ m∠R = (3(24) + 40)°

⇒ m∠R = 112°

⇒ m∠T = (5x - 52)°

⇒ m∠T = 68°

The mean installation time is either (40.78 or 44.66)

Mean is an essential mathematical and statistical concept. The mean is the average or most frequent value among a set of numbers.

It is a measure of the central tendency of a probability distribution based on the median and the mode. It is also known as the expected value.

It is a statistical concept with significant importance in finance. The concept is utilized in a variety of financial fields, such as portfolio management and business valuation.

The mean installation time is either (40.78 or 44.66)

To know more about mean, visit:

https://brainly.com/question/1136789

#SPJ1

Answer: (40.76,44.64)

Step-by-step explanation:

Correct answers:

$\left(40.76,\ 44.64\right)$

A 95% confidence interval for μ is (x¯−zα/2σn−−√,x¯+zα/2σn−−√). Here, α=0.05, σ=7, and n=50. Use Excel to calculate the 95% confidence interval.

1. Open Excel, enter the given data in column A, and find the sample mean, x¯, using the AVERAGE function. Thus, the sample mean is x¯=42.7.

2. Click on any empty cell, enter =CONFIDENCE.NORM(0.05,7,50), and press ENTER.

3. The margin of error, rounded to two decimal places, is zα/2σn−−√≈1.94. The confidence interval for the population mean has a lower limit of 42.7−1.94=40.76 and an upper limit of 42.7+1.94=44.64.

Thus, the 95% confidence interval for μ is (40.76,44.64).

Answer:

c - (4, ∞)

Step-by-step explanation:

answer on edg

Answer:

Answer is choice C .   (4, ∞)

Step-by-step explanation:

on edge

Answer:

4. 6.4km

Step-by-step explanation:

I hope this helps ^-^

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

learn more on area here: https://brainly.com/question/9720037

#SPJ1

Answer:

System 1 has an infinite number of solutions and System 11 has no solution.

Step-by-step explanation:

System 1:

x = y - 3

x - y = -3

2x - 2y = -6

Divide above by 2:

x - y = -3

So the 2 equations are identical

and they have an infinite number of solutions.

System 11:

5x + 2y = -7

15x + 6y = 21

Divide the above by 3:

5x + 2y = 7

Comparing this to the first equation the left sides are the same but right sides are different ( -7 and  7)/

There is no solution to this system.