Select the correct answer. What is the solution to this equation? 9^x - 1 = 2 O A. - 1/1/20 OB. 2 O C. OD. 1/1/20 1 23 Edmentum. All rights reserved. Reset Next​

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

Answer:

The Earth's orbit makes a circle around the sun. At the same time the earth orbits around the sun, it also spins. In science, we cal that rotating on its axis. Since the earth orbits the sun AND rotates on its axis at the same time we experience seasons, day and night, and changing shadows throughout the day.

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

360

Step-by-step explanation:

Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer:

pz

Step-by-step explanation:

Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

A histogram of the weights of all 2,000 athletes would be a graph with two normal distributions, one for offense and one for defense.

The offense distribution would have a bell shaped curve centered at 200 pounds, with a range of 150-250 pounds. The defense distribution would have a bell shaped curve centered at 300 pounds, with a range of 250-350 pounds. Each of the distributions would have the same area, representing 1,000 athletes in each group. The total area of the histogram would represent the combined 2,000 athletes with weights ranging from 150-350 pounds. It is important to note that the histogram would not represent the exact weights of the athletes, but rather the relative frequency of each weight.

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Answer:

\(-3\frac{3}{4}\)

Step-by-step explanation:

\(\frac{-\frac{5}{9}}{\frac{1}{6}}-\frac{5}{12}\\\)

\(=-\frac{5}{9}*6-\frac{5}{12}\\\)

\(=-\frac{10}{3}-\frac{5}{12}\)

\(=-\frac{40}{12}-\frac{5}{12}\\\)

\(=-\frac{45}{12}\)

\(=-\frac{15}{4}\)

\(=-3\frac{3}{4}\)

Answer:

1, 4, 9, 16, 25, 36, 49, 64, 81, and 100

Step-by-step explanation:

Let's pretend that the locker number is represented as a Binary (meaning it's either open or closed).

Looking at this, we can see that each locker is only acted upon if the student number is a factor of it. This is why the 3rd person changes the state of every 3 lockers, the 4th student changes the state of every 4 lockers, etc.

The factors of a number are the numbers that the original number is evenly divisible by. When we divide these, we also receive a factor. With this information, we can conclude that unless one of the factors is the square root of the number, then the "second divided by" factor is itself. For every other number, there will be a "second divided by" factor, so an even number of them. Because an even number + 1 = odd number, then only perfect squares will have an odd number of factors.

Hope this helped!

Answer:

The open lockers are:

1,4,9,16,25,36,49,64,81,100

Step-by-step explanation:

Note that locker 1 is opened by only the first student. So it stays open throughout.

Locker 2 is first opened by student 1, then closed by student 2. Other students don't touch it. So it stays closed.

Locker 3 is first opened by student 1, then closed by student 3. Other students don't touch it. So it stays closed.

Since 4 is a multiple of 1, 2, and 4, it is changed by the 1st, 2nd, and 4th students. Since there is an odd number (3) of changes, locker 4 stays open.

Observe that a locker at position n is opened by students with factors of n.

Every number can be written as the product of a pair of distinct numbers except perfect squares. For example, 6 can be written as 1 × 6 and 2 × 3. Hence, it has 4 factors, which means it is touched an even number of times, making it stay locked.

A number like 9 is written as 1 × 9 and 3 × 3. Hence, it has 3 factors, which is odd, making it stay open.

Since the perfect squares from 1 to 100 are 1,4,9,16,25,36,49,64,81,100, then the open lockers are:

1,4,9,16,25,36,49,64,81,100

The amount of red flowers that can be purchased by the florist is (2/5) × Total number of flowers

If the florist can only buy white flowers in groups that contain 3 white flowers and 2 red flowers, then the ratio of white to red flowers in each group is 3:2. This means that for every 5 flowers purchased, 3 will be white and 2 will be red.

To determine how many red flowers the florist will have to purchase, we need to know the total number of flowers that the florist wants to buy. Let's say the florist wants to buy x flowers in total.

Since each group contains 5 flowers (3 white and 2 red), the number of groups needed to purchase x flowers will be x/5.

Now, use the ratio of white to red flowers in each group to determine how many red flowers the florist will need to purchase. For every 5 flowers purchased, 2 will be red. Therefore, the florist will need to purchase (2/5) × x red flowers.

For example, if the florist wants to buy 30 flowers in total, they will need to buy (2/5) × 30 = 12 red flowers. They will buy 3 groups of flowers, with a total of 9 white flowers and 6 red flowers.

In general, the number of red flowers the florist will need to purchase can be calculated using the following formula:

Number of red flowers = (2/5) × Total number of flowers

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The dimensions giving the minimum surface area are  r = 0.98 cm approx. and h = 1.998 cm .

What is surface area?

The surface area of a solid object could be a live of the full area that the surface of the article occupies.

Main body:

The surface area of the closed cylinder is given by,

S = 2πr²+2πrh

And volume is given by,

V = πr²h

Where, R is radius and h is height of cylinder.

Volume is given to be  6 cm³.

V = πr²h = 6

h = 6/πr²

Inserting this value of h in Surface area equation, we get,

S = 2πr²+ 2πr ( 6/πr²)

S = 2πr² + 12 /r

Now differentiating wrt x to find minimum, inserting ds/dr = 0 , we get,

4πr = 12/r²

r = (3/π)¹/³

r = 0.98 cm approx.

h = 6/π *(0.98)²

h = 6/3.017

h = 1.998 cm

Hence ,the dimensions giving the minimum surface area are  r = 0.98 cm approx. and h = 1.998 cm .

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∠G+∠H+∠J=180 and ∠K+∠L+∠M=180 from the angle sum property of triangle, ∠H=∠L (3rd Angle Theorem) and ∆GHJ≅∆KLM from ASA congruency theorem.

In the given question we have to prove ∆GHJ congrurnce ∆KLM.

Given that: ∠G≅∠K, ∠J≅∠M, \(\over{HJ}\) ≅ \(\over{LM}\).

As given that;

∠G≅∠K

∠J≅∠M

\(\over{HJ}\) ≅ \(\over{LM}\)

So from the angle sum property of triangle

∠G+∠H+∠J=180................(1)

∠K+∠L+∠M=180.................(2)

Now equation equation 1 and 2

∠G+∠H+∠J=∠K+∠L+∠M

As we know that ∠G=∠K, ∠J=∠M

So now the expression is

∠G+∠H+∠J=∠G+∠L+∠J

After solving ∠H=∠L (3rd Angle Theorem)

Since, ∠H=∠L, HJ=LM and ∠G=∠K, so from the theorem Angle Side Angle(ASA) congruency,

∆GHJ≅∆KLM

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Answer:

C

Step-by-step explanation:

We can conclude that more than 65% of the population is right-handed

The statement i.e. correct is more than 65% of the population is right-handed.

Since A hypothesis test is conducted with a significance level of 5%. The alternative hypothesis states that more than 65% of a population is right-handed. The p-value for the test is calculated to be 0.03.

So based on this we can say that there are more than 65% of population that considered to be the right handed.

Therefore, the correct option is c.

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The given set is (3, 4, 5, ...} is infinite set.

A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.

The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.

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Answer:

 Table B -

Step-by-step explanation:

You want to know which of the four offered tables represents a linear function.

A linear function will have differences in y that have the same ratio to differences in x for all pairs of values in the table.

Table A has x-differences that are 1 between adjacent terms. The y-differences are negative for the first pair of table values, but positive for the last pair (2 -5 vs 5 -2).

Table B has x-differences that are 1 between adjacent terms. The y-differences are -2 between any pair of adjacent terms, so their ratio to x-differences is -2/1 = -2, a constant. Table B represents a linear function.

Table C has x-differences that change from 0 to -3 to +3 while y-differences are constant at +1. The ratios of differences are not constant.

Table D has x-differences of +1, and y-differences that alternate in sign and magnitude.

Only Table B represents a linear function.

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Answer: The middle number in a data set when the data are put in order.

Answer and Step-by-step explanation:

To find the median of a set of numbers, you need to find what the number in the center is in a listed group of numbers. I'll use the example of these numbers:

6, 9, 5, 4, 3, 4, 2.5, 8, 0, 1, 5.

First, we need to organize the numbers in numerical order to find the median.

0, 1, 2.5, 3, 4, 4, 5, 5, 6, 8, 9.

It would be the most simple and helpful to cross out each number until we get our center number; the median. (I can't cross the numbers out, so I'll underline them instead.) When crossing out, both sides need to be full of equally crossed out numbers.

0, 1, 2.5, 3, 4, 4, 5, 5, 6, 8, 9.

The number in the center for this example problem is 4. Thus meaning that our median is 4.

Sometimes though, it is not always a whole number. Sometimes you'll have to find the median in between two numbers. For example, let's just say you got stuck between 4 and 5. Then the median for that set of data would be 4.5, because it is still in the middle of the two.

I hope that this helps, let me know if you have any more questions about this topic.

Answer:

Gross salary =G

Number of worked hours =x

Dollar per hour =$12

substitute the given data into the gross salary formula and simplify.

Gross salary = (number of worked hours)

G =(x) (12)

G =12x

Therefore, G(x) =12x

Hence the function is G(x) = 12x

Answer:

12x8.6=103.2 fluid ounces

Step-by-step explanation:

Answer:

103.2 fluid

Step-by-step explanation:

Per - 8.6 fluid

So if 1 bottle ve 8.6 fluid we multiply by 12 to find out how much fluid there is in 12 bottles

8.6 * 12 = 103.2 fluid

Answer:

1. 125%  We are looking for the percentage.    5: Whole 4: Part

Step-by-step explanation:

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

TEXPLANATION

For the 11.5-ounce package that costs $4.24. The unit price per pound is

For the 27.8-ounce package that costs $9.98.

Answer: Box A = 0.37, Box B= 0.36. The better buy is the 27.8-ounce package

The result of adding -4 (row 1) to row 3 is determined as (0  - 9   2)|12.

The resultant of the row multiplication in the Matrice is calculated by applying the following method;

row 1 in the given matrices = [1  2  1] | -5

To multiply row by -4, we will multiply each entity by 4 as shown below;

= -4(1 2  1) | -5

= (-4  -8  - 4) |20

To add the result to 3;

(-4  -8  - 4)|20 + (4  - 1   6) | -8

= (0  - 9   2)|12

Thus, the result of the row multiplication is determined by multiplying each entry in row 1, by - 4.

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Answer:

Step-by-step explanation:

Let's call the amount of water that needs to be added "x" mL.

Initially, there are 20 mL of a 17% alcohol solution. This means that there is:

0.17 x 20 = 3.4 mL of alcohol in the solution.

When x mL of water is added, the total volume of the solution will be 20 + x mL. At this point, we want the concentration of alcohol to be 10%. So we can set up the following equation:

3.4 mL / (20 mL + x mL) = 0.10

Simplifying this equation, we get:

3.4 mL = 0.10 (20 mL + x mL)

3.4 mL = 2 mL + 0.10x mL

1.4 mL = 0.10x mL

x = 14 mL

Therefore, 14 mL of water should be added to 20 mL of a 17% alcohol solution to reduce the concentration to 10%.

Answer:

The opposite of the number 1/4 is equal to -1/4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number is 1/4 and the opposite of the number will be calculated as,

The opposite will be the negative value of 1/4.

Positive value = 1/4

Negative value = -1/4

Therefore, the opposite of the number 1/4 is equal to -1/4.

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Answer:

The inequality is 3 + 2x ≥ 13

x ≥ 5

Step-by-step explanation:

on a number line, draw the line starting on 5 with a SHADED IN circle going infinitely to the right.