Answers
F(x) = 3 * (1.7)^x
Answer:
The correct option is C.
Step-by-step explanation:
∵ The given graph is of increasing nature.
∴The base of the exponential will be greater than 1.
∴ option A is incorrect.
Also, at x=0 the value of y=3, but in option B at x=0 ⇒y= 3^0 =1
∴ option B is also incorrect.
At x=0, y=3 for option 3 which satisfies the graph.
∴ the option C is correct.
option D is incorrect because the base of an exponential can never be negative.
Related Questions
Juan has x apples and 8 oranges how many pieces of fruit does he have give your answer in terms of x
Answers
The equation would be: x+8=
Final answer:
Juan has a total of x + 8 pieces of fruit, where x represents the number of apples and the 8 represents the fixed number of oranges.
Explanation:
The question involves a simple algebraic expression to determine the total number of pieces of fruit Juan has. Given that Juan has x apples and 8 oranges, the total number of pieces of fruit he has can be represented as the sum of these two quantities.
In algebraic terms, the total number of pieces of fruit Juan has is x + 8, where 'x' represents the unknown number of apples. There is no need for more complex operations or considerations; the answer simply requires the addition of the two amounts.
Mitosis is a process of cell reproduction in which one cell divides into two identical cells. E. coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes. If you begin with 100 E. coli bacteria, how many will there be in 1 hour?
Answers
Answer:
1600
Step-by-step explanation:
There will be 1600 E. coli bacteria, in 1 hour.
What is multiplication?In maths, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem.
Given that, Mitosis is a process of cell reproduction in which one cell divides into two identical cells. E. coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes.
In the beginning, there are 100
After 15 minutes, there are 2*100=200
After 30 minutes, there will be 2*200 =400
After 45 minutes = 400*2 = 800
After 60 minutes = 800*2 = 1600
Hence, in 1 hour there will be 1600 E. coli bacteria.
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Suppose 25 out of 175 people said they like to play disc golf and 5 out of every 12 of the players have a personalized flying disc. At the same rates, in a group of 252 people , predict how many you would expect to have a personalized flying disc.
Answers
1/7 of 252 is 252÷7= 36
36×5/12= 15
So, we can expect 15 people to have a personalised flying disc.
how do i fill in this chart
Answers
So in the end this is how it should look:
Julie uses crystals to make a bracelet. The lengths are; 1/2 , 5/8 , 3/4 , 1/2, 3/8, 1/2, 3/4, 3/8, 5/8, 1/2, 3/8, 5/8, 3/4.
6.What is the combined length of the 1/2-in. crystals? ________
7.What is the combined length of the 5/8-in.crystals? ________
8.What is the total length of all the crystals in the bracelet?________
What is the average length of each crystal in the bracelet?________
Please explain as much as possible. I have a quiz tomorrow and I need to pass it.
Answers
There are 4 half inch crystals. So the combined length would be 2 inches.
1/2 +1/2+1/2+1/2 = (since the bottoms are the same just add the tops) 4/2.
4/2 = 2.
7.
There are 3 5/8 inch crystals. So the combined length would be 15/8 (or 1.875 or 1+7/8)
Same here, 5/8 +5/8 + 5/8 = 15/8.
8.
The length of all the crystals together would be 29/4 (or 7.25 or 7+1/4)
Here, just find a common denominator. In this case it would be four. Then, just multiply or divide the top number by whatever you did to the bottom one.
9.
The average length is: 29/52 (or 0.557)
Divide 29/52 by 13. (to find an average, add all the number and divide it by the amount of number you added.
What is 90,175,087,309 in expanded form
Answers
ninety billion, one hundred seventy-five million, eighty-seven thousand, three hundred nine
Number form: view attachment
Find the product of (x + 7)2.
x2 − 14x + 49
x2 + 14x + 49
x2 − 49
x2 + 49
Answers
(a+b)^2=a^2+2ab+b^2
How do you solve number 3?
Answers
Then you subtract 4 from both sides making it
4x=-1
now you wnat to get x by itself to get the final answer so you divide both sides by 4 making the answer:
x= -1/4
True or False. The Electromagnetic Spectrum can be described in terms of wave energy, frequency, and wavelength.
Question 3 options:
True because energy, frequency, and wavelength are all properties of sound, and sound is an electromagnetic wave.
False because the electromagnetic spectrum is about radiation, not waves.
True because the electromagnetic spectrum is ordered based on wave energy, which is described on a wave as wavelength and frequency.
False because energy, wavelength, and frequency are only characteristics of mechanical waves.
Answers
What do absolute values and temperatures on the Kelvin scale have in common?
I dont know why math incudes science
Answers
Absolute values in mathematics and Kelvin temperatures both provide 'absolute' measurements, with absolute value indicating distance from zero and the Kelvin scale starting at absolute zero, the theoretical absence of kinetic energy.
Explanation:Both absolute values in mathematics and temperatures on the Kelvin scale represent 'absolute' measurements in their respective fields. In mathematics, the absolute value indicates the distance of a number from zero on the number line, irrespective of direction. Similarly, the Kelvin scale is used in physics and deals with the absolute temperature, where 0 K (absolute zero) represents a theoretical state where particles possess minimal vibrational motion, implying no kinetic energy.
The Kelvin scale is important in scientific work because it starts at this absolute zero point. Therefore, it allows for the measurement of true thermal energy. The Kelvin scale is similar to the Celsius scale in that the size of its degree is the same, but the Kelvin scale does not start at the freezing point of water. Instead, it starts at absolute zero, making it a true absolute scale that measures the fundamental property of temperature.
Jane likes to exercise daily. The table shows the number of calories y she burns by exercising steadily for x minutes. How many calories would she burn by exercising for 29 minutes?
Answers
Answer:
319 cal/min.Step-by-step explanation:
The table is attached.
You can observe in the table that there's no a value for 29 minutes.
That means we need to find the linear expression and then calculate the answer.
First, we need to find the ratio of change using two pairs of the given table and the following formula, (20,220) and (40,440) are the points
[tex]m=\frac{440-220}{40-20}=\frac{220}{20} =11[/tex]
The ratio of change states that Jane burns 11 calories per minute. So, after 29 minutes, she will burn
[tex]11cal(29min)=319 cal/min[/tex]
dianes plane is due to arrive when the hour hand is just the 3 and the minute hand is the 4. what time should the plane arrive ?
Answers
Find the vertex of this parabola. y=-2x+4x+12
Answers
Answer:
(1,14)
Step-by-step explanation:
Answer:
Vertex of the parabola is ( 1 , 14 ).
Step-by-step explanation:
Given Equation of parabola is [tex]y=-2^2+4x+12[/tex]
We have to find the vertex of the parabola.
We first convert the given equation of parabola in standard equation of parabola using completing the square method.
Standard equation of parabola,
[tex](x-h)^2=4a(y-k)[/tex]
here, ( h , k ) is coordinates of the vertex of the parabola.
consider,
y = -2x² + 4x + 12
y = -2( x² - 2x - 6 )
y = -2 ( x² - 2x + 1² - 1² - 6 )
y = -2 ( x -1 )² - 7 × ( -2 )
y - 14 = -2 ( x - 1 )²
[tex](x-1)^2=\frac{1}{2}(y-14)[/tex]
By comparing,
vertex = ( 1 , 14 )
Therefore, Vertex of the parabola is ( 1 , 14 ).
ASAP WILL GIVE BRAINIEST
Justine is following a recipe that calls for 4 cups of lemon juice for every 3 cups of sugar. If she uses 3 cups of lemon juice, how much sugar should she use?
Answers
sugar = 3/4 x 3 = 2 1/4
2 1/4 cups of sugar is needed
(Photo attached) please answer
Answers
Area = [tex] \pi(16^{2})[/tex]
Area = 256π feet squared
They also tell us that the radius of pool 1 is equal to the diameter of pool 2. The diameter is 2 x radius. Using this info, we can assume the radius of pool 2 is equal to 8. Using the radius, we can plug it into the equation we used above to find the area of pool 2.
Area = [tex] \pi 8^{2} [/tex]
Area = 64π feet squared
Finally, the problem asks us to find the difference of pool 2's area from the area of pool 1.
256π - 64π = 192π
Your final answer is (B): 192π square feet.
What is the height of the 8 stacks
Answers
Volume= length×height×width
V = l × h × w
In this case, you're sort of going backwards, trying to find the height.
So input the info you have:
10 (2)/(3) = 1 (1)/(3) × 4 × height
Multiply...
10 (2)/(3) = 5 (1)/(3) × h
Move them by using the simple algebra rules
10 (2)/(3) ÷ 5 (1)/(3) = h
2 cubic feet = height
At a healthy foods store in Belleville, organic sugar used to retail for $4 per pound. The price was recently increased to $5 per pound. What is the percent of increase in the price of this item?
Answers
Final answer:
The price of organic sugar at the Belleville store increased from $4 to $5 per pound, which is a 25% increase in price.
Explanation:
The percent of increase in the price of organic sugar from $4 to $5 per pound can be calculated through a few steps. To determine the percentage increase, you subtract the old value from the new value, then divide the result by the old value. Finally, you multiply by 100 to convert it into a percentage.
Here is the step-by-step calculation:
Determine the increase in price: $5 - $4 = $1.
Divide the increase by the original price: $1 ÷ $4 = 0.25.
Multiply by 100 to get the percentage: 0.25 × 100 = 25%.
Therefore, the price of organic sugar increased by 25%.
The price of organic sugar at a healthy foods store in Belleville was recently increased from $4 per pound to $5 per pound. The percent of increase in the price of this item is 25%.
Explanation:To find the percent of increase in the price of the organic sugar, we can use the formula:
Percent increase = ((new price - old price) / old price) * 100
First, let's calculate the percent increase:
Percent increase = (($5 - $4) / $4) * 100 = (1 / 4) * 100 = 25%
Therefore, the percent of increase in the price of organic sugar is 25%.
John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours. Explain each step in solving this equation. (10 points)
Answers
Solution:
John fill the pool in 5 hours. This means in 1 hour John fills [tex] \frac{1}{5} [/tex] part of the pool. Matt fills the pool in 10 hours. This means in 1 hour Matt fill [tex] \frac{1}{10} [/tex] part of the pool.
If they both work together:
Portion of the pool filled in 1 hour = [tex] \frac{1}{5}+ \frac{1}{10}= \frac{3}{10} [/tex]
Next we can use proportion to solve this problem.
3/10 portion of the pool is filled in 1 hour.
3/10 of the pool is filled in time ⇒ 1 hour
Multiplying both sides by 10/3 we get
3/10 x 10/3 of the pool in time = 1 x 10/3
1 pool is filled in time = 10/3 hours
This means, if both John and Matt fill the pool together they will take 10/3 hours which is 3 hours and 20 minutes to fill the pool.
A shortcut to solve such questions is:
Time taken to fill the pool = (Product of individual times)/(Sum of individual times)
Time taken to fill the pool = [tex] \frac{5(10)}{5+10}= \frac{50}{15}= \frac{10}{3} [/tex]
This results in the same answer as we achieved above.
Determine the unknown side length of the golden rectangle with the given side length.
s = ____ t=9
a.
5.56
c.
4.94
b.
4.85
d.
5.26
Please select the best answer from the choices provided
Answers
Explanation:
The side lengths of the golden rectangle are in the proportion:
1
--------------------
golden number
The golden numbrer is:
1 + √5
-----------
2
So, the ratio is:
1
--------------
1 + √5
---------
2
And, using the properties of the division of fractions, that is equivalent to:
2
-------------
1 + √5
Since you have the given side t = 9, you can set the proportion, to find the unknown lenght, s:
2 s
--------- = ---------
1 + √5 t
2 s
--------- = ---------
1 + √5 9
And you can solve for s:
s = 9 * 2 / (1 + √5) ≈ 18 / (1 + 2.236) = 18 / (3.236) ≈ 5.56.
Which is the option a. 5.56
To determine the unknown side length of a golden rectangle, set up a proportion and solve a quadratic equation.
Explanation:The golden rectangle is a rectangle in which the ratio of the longer side to the shorter side is equal to the golden ratio, approximately 1.618. To determine the unknown side length, we can set up a proportion using the given side length and the golden ratio:
s / t = (s + t) / s
Substituting the given values, we have:
s / 9 = (s + 9) / s
Cross multiplying and simplifying, we get:
s^2 = 9(s + 9)
By solving this quadratic equation, we find that the unknown side length is approximately 4.94. Therefore, the correct answer is c. 4.94.
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UESTION 6
A researcher randomly surveyed seniors at a high school and asked how many books they read in the past year. The table shows the results.
Missing Metadata
Which statement is true?
Answers
Statement 1 is true: the majority of seniors read between 0 and 5 books. Statement 2 is false: the average number of books read is around 6-7, not between 10 and 11. Statement 3 is true: more seniors read 11-15 books than 16-20 books.
To determine which statement is true, let's first analyze the data provided in the table. Since the table isn't available, I'll make some assumptions to guide us through the explanation. Let's say the table looks like this:
Number of Books Read Number of Seniors
0-5 20
6-10 15
11-15 10
16-20 5
Now, we'll examine each statement to see if it aligns with the data:
"The majority of seniors read between 0 and 5 books in the past year."
This statement is true if the number of seniors who read 0-5 books is greater than the total number of seniors who read in other ranges. In this case, 20 seniors read 0-5 books, which is the highest count among all ranges. So, this statement is true.
"The average number of books read by seniors is between 10 and 11."
To find the average, we multiply the midpoint of each range by the number of seniors in that range, sum them up, and then divide by the total number of seniors. Doing the calculation, the average comes out to around 6-7 books, not 10-11. So, this statement is false.
"More seniors read 11-15 books than 16-20 books."
To verify this, we check the counts for each range. If the count for 11-15 books is greater than the count for 16-20 books, the statement is true. In this case, if 10 seniors read 11-15 books and 5 seniors read 16-20 books, the statement is true.
Based on this analysis, statements 1 and 3 are true, while statement 2 is false.
complete question=
Which statement is true regarding the survey conducted by a researcher who randomly surveyed seniors at a high school and asked about the number of books they read in the past year, as depicted in the provided table?
In what quadrant on the coordinate plane is the point (5,-2) located?
Answers
Cause Quadrant 4 Is a mixture of negative and positive numbers and since x = 5 is positive you would look for the 5 and go down -2 which would be in quadrant 4.
A recent poll of 85 randomly selected cable subscribers found that 39% would be willing to pay extra for a new nature channel
Answers
Answer:
Between 29% and 49% (just took quiz on Edge)
The rest of the question is: To the nearest percent, with a confidence level of 95% (z*- score 1.96), what is the confidence interval for the proportion of cable subscribers who would be willing to pay extra for the new nature channel?
A water fountain shoots up a jet of water
Answers
Answer:more variables are needed to solve
Step-by-step explanation:
What is the wavelength for radio waves with frequency 3 × 109?
Answers
Answer:
1 x 10^-1m or A on edge
Step-by-step explanation:
just took the test
Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveled on each gallon of gas?
Answers
Answer:
[tex]y=28.5x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In this problem
Let
x------> the number of gallons
y------> the number of miles
the relationship between the number of miles and the gallons of gas represent a linear direct variation
The constant of proportionality k is equal to the slope m
[tex]m=\frac{465.3}{16.5}= 28.2\frac{miles}{gallon}[/tex]
therefore
the equation of the linear equation
[tex]y=28.5x[/tex]
Find the value of X for the figure given the perimeter
Answers
First of all, you should know that the formula to find the perimeter of a rectangles is P=2b+2h where b is the base and h the height of the rectangle.
P=2b+2h Substitute the given values
30=2(3x)+2(2x) Associate the terms
30=6x+4x Combine like terms
30=10x Divide in both sides by 10 to isolate x
3=x
The value of x for the rectangle is 3 units.
Find the surface area of the pyramid represented by this net. [type your answer as a number]
Answers
Four triangles = 22.5 x 34 = 90
Area of the square in the middle = 5 x 5 = 25
Total Area = 90 + 50 = 140 square cm
Answer:
90 + 50 = 140 square cm
slope (-8,18) and (-14,-3)
Answers
The slope of the points (-8, 18) and (-14, -3) will be 7/2.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points are,
⇒ (-8, 18) and (-14, -3)
Now,
Since, We know that,
The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) will be;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, The slope of the line passing through the points (-8, 18) and
(-14, -3) will be;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (- 3 - 18) / (- 14 - (-8))
⇒ m = - 21 / (- 14 + 8)
⇒ m = - 21 / - 6
⇒ m = 7/2
Thus, The slope of the points (-8, 18) and (-14, -3) will be 7/2.
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The student is asking to calculate the slope between two points, (-8, 18) and (-14, -3). By using the slope formula (rise over run), we computed the slope to be 3.5.
Explanation:The student is asking for the calculation of the slope between two points, which is a concept in algebra and coordinate geometry. To find the slope, you can use the formula:
slope = (y2 - y1) / (x2 - x1)Applying this to the given points (-8, 18) and (-14, -3), we find:
slope = (-3 - 18) / (-14 - (-8))= (-21) / (-6)
= 21/6
= 3.5
Therefore, the slope is 3.5.
The math test scores of Mrs. Hunter's class are shown below. 48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100 What is the range of the scores?
Answers
Highest= 100
Lowest= 48
Difference= 100 - 48= 52
ANSWER: The range is 52.
Hope this helps! :)
What is the first quartile of the data displayed in this box-and-whisker plot?
143.0
113.0
99.5
43.5
Answers
C. 99.5
Good Luck
Hope This Helps!
Answer:
The answer is 99.5 for future people!
Step-by-step explanation: