Which graph represents an exponential function?
The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.
What are exponential functions?The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.
In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function, y=ax²+bx+c or y=a(x-h)²+k
For the 4th graph, (Green), In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as, y = aeᵇˣ
Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.
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Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
(-2,1) (0,1)
-1
0
no slope
Answer:
\(\boxed{\sf Slope: 0}\)
Step-by-step explanation:
In order to find the slope of a line given the coordinates of two points on the line, use the slope formula.
\(\boxed{\boxed{\sf Slope= \frac{y_2-y_1}{x_2-x_1}}}\)
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
Points: (-2 , 1) ( 0, 1)
\(\sf \left(x_1,\:y_1\right):\left(-2,\:1\right)\)
\(\sf \left(x_2,\:y_2\right):\left(0,\:1\right)\)
\(\sf m=\cfrac{1-1}{0-\left(-2\right)}\)
\(\sf m=\cfrac{1-1}{0+2}\)
\(\sf m=\cfrac{0}{0+2}\)
\(\sf m=\cfrac{0}{2}\)
\(\sf m=0\)
_____________________________________________
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Pls Find the value of x
\(x + 104 + 28 = 180 \\ (140 + 28 = 132) \\ x = 132\)
\(\sf\longmapsto x + 104 + 28 = 180\)
\(\sf\longmapsto x = (104 + 28) = 132\)
\(\sf\longmapsto x = 132\)
The sum of twice a number and 1 is less than 5.
Answer:
2x + 5 ≤ x - 3
Step-by-step explanation:
Answer:
\(2x + 1 < 5\)
Suppose the temperature inside a three dimensional ball is proportional to the square root of the distance from the center. Find a formula for the average temperature in the ball. What is the limit of the average temperature as the ball gets larger?
Answer:
The formula for the average temperature in the ball is \(\bar T = \frac{2\cdot k\cdot R^{1/2}}{3}\). The limit of the average temperature for the ball does not exist.
Step-by-step explanation:
According to the statement, we have the following direct relationship:
\(T \propto \sqrt{r}\)
\(T = k\cdot \sqrt{r}\) (1)
Where:
\(T\) - Temperature, measured in degrees Celsius.
\(r\) - Distance from the center, measured in meters.
\(k\) - Proportionality constant, measured in degrees Celsius per meter.
Under the assumption that ball is a continuous entity, we find that average temperature in the ball (\(\bar T\)), measured in degrees Celsius, is represented by the following integral equation:
\(\bar T = \frac{1}{R}\cdot \int\limits^{R}_{0} {T(r)} \, dr\) (2)
By applying (1) in (2), we find that:
\(\bar T = \frac{k}{R}\cdot \int\limits^{R}_{0} {\sqrt{r}} \, dr\)
\(\bar T = \frac{2\cdot k}{3\cdot R}\cdot (R^{3/2})\)
\(\bar T = \frac{2\cdot k\cdot R^{1/2}}{3}\)
If the ball gets larger, then the limits associated to the average temperature diverges to the infinity as maximum exponent of the numerator of the rational function (\(n = \frac{1}{2}\)) is greater than the maximum exponent of the denominator (\(n = 0\)). Therefore, the limit of the average temperature for the ball does not exist.
Describe or show two different ways to find the volume of a right rectangular prism with dimensions of 9 centimeters by 7 centimeters by 12 centimeters.
Answer:
9×7×12=756 is the dimensions
Amy, Joan and Kevin each find rock. Amy's rock weighs 20.82 grams. Joan's rock
weighs 20.78 grams. The weight of Kevin's rock is between the weight of Amy's
rock and the weight of Joan's rock. What is a possible weight, in grams. of Kevin's
rock? Explain your thinking.
Answer:
20.80 grams
Step-by-step explanation:
This is a possible answer because 20.80 is directly in between the decimals 20.78 and 20.82
Missing numbers
, 9.8 , 9.1
Answer:
10.5
Step-by-step explanation:
Missing number, 9.8, 9.1
We see that each time it subtracts 0.7
We take
9.8 + 0.7 = 10.5
So, the missing number is 10.5
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
pls help will give brainliest
Given f(x)=2/x^2+3x-10, which of the following is true?
A. f(x) is positive for all x<-5
B. f(x) is negative for all x<-5
C. f(x) is positive for all x<2
D. f(x) is positive for all x>2
The only true statement about the domain of the given function is:
B. f(x) is negative for all x < -5
How to solve for the domain of the function?The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).
Now, we are given the function as:
f(x) = \(\frac{2}{x^{2} } + 3x - 10\)
When x < -5, we have:
f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)
f(-4) = -21.875
This suggests that for all values below x = -5 will result in negative values
When x > 2
f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)
f(3) = -0.78
Thus, it will get positive for higher values but it can also be negative as seen here.
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Scale a recipe
recipes are created to serve a tour of people. You hope to have a lot of customers at your food truck,
so you need to scale your recipes to make a lot more!
rawberry Lime Smoothie
gredients
Directions
1cup (8 oz.) strawberry yogurt Put all ingredients into a blender and
Vacup milk
blend until smooth.
2 tablespoons lime juice
2 tablespoons honey
2 cups fresh strawberries
Serves 1
u plan to serve make and so 100 Strawberry Lime Smoothies each day. To scale your recipe to make that
ny servings, multiply each ingredient by 100 Write the new amounts for each ingredient on the recipe card
below.
Strawberry Lime Smoothie
Ingredients
cups_oz.) strawberry yogurt
cups milk
Directions
Put all ingredients into a
blender and blend until
smooth
tablespoons lime juice
tablespoons honey
cups fresh strawberries
Serves 100
Answer:
b
Step-by-step explanation:
uqawert
Which of the following sets of ordered pairs represents a function? PLEASE HELP
The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).
{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}
In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.
{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.
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Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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Can someone please help me with C? I am not sure how to solve or which theorem to use.
There is no time within the interval 0≤t≤2, at which the amount of money raised is 10.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given the amount of money raised during a competing fund-raising campaign is modeled by the function M defined by M(t)=240(2t−1)(2t+36), where M(t) is measured in United States dollars and t is the time in days, to get the time t if the money raised is 10 dollars,
Then will substitute M = 10 into the modeled function and calculate the value of t.
M(t)=240(2t−1)(2t+36)
10=240(2t−1)(2t+36)
1 = 24(2t−1)(2t+36)
open the parenthesis;
1 = 24(4t²+72t-2t-36)
1 = 96t²+1680t-864
96t²+1680t-865 = 0
On factorizing, t = 2 is not a factor of the expression.
Thus there is not a time within the interval 0≤t≤2,
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if the risk-free rate is 5 percent and the risk premium is 7 percent. what is the required return?
HELPPP FOR 100 points plsss
Answer:
a. YES
b. YES
c. NO
d. YES
Step-by-step explanation:
\(\frac{7^6}{7^3}\) simplifies to \(7^3\)
a:
Let's simplify this:
(\(7^9\))(\(\frac{1}{7^6}\))
Now:
\(\frac{7^9}{7^6}\)
Which equals:
\(7^3\)
So, YES
b:
Simplify this one:
\(\frac{1}{7^8} / \frac{1}{7^1^1}\)
Or:
\((\frac{1}{7^8})(7^1^1)\)
Which simplifies to:
\(7^3\)
So, YES
c:
Simplifies to:
\(\frac{7^8}{7^4}\)
Which equals:
\(7^4\)
So, NO
d:
This simplifies to:
\(\frac{1}{7^3} * 7^6\\\\ \frac{7^6}{7^3} \\\\7^3\)
So, YES
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
what is 23 450 + 52 704 to the nearest 100?
Answer:
76,200
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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What is a quartic polynomial function with zeros -20, -16, -11, and -9?
Answer:
Step-by-step explanation:
I hope that you don't have to multiply this out. If you do, leave a note. I delete my answer.
y = (x + 20)(x+16)(x + 11)(x + 9)
1. What is 40% of 60? * 1 point Your answer
We will solve as follows:
\(x=\frac{60\cdot40}{100}\Rightarrow x=24\)From this, we know that 40% of 60 is 24.
A line passes through the point (1,5) and has a slope of 7
Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.
The equation of a line in the point-slope form is given by the following equation:
y-y_1 = m(x-x_1)
where m is the slope of the line and (x1, y1) is any point on the line.
Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:
y-5 = 7(x-1)
Expanding the right-hand side of the equation gives:
y-5 = 7x-7
Adding 5 to both sides of the equation gives:
y = 7x-2
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(-1-4i\5i)^i
Simplify
Answer:
\frac{27}{17}+\frac{28}{17}i
Step-by-step explanation:
Vhat is the probability of flipping a coin 11 times and getting heads 3 times?
Found your answer to the nearest tenth of a percent.
Answer:
the answer should be 21 if it's there if I'm wrong let me know
Solve the system of inequalities by graphing.
y ≥ 2
y < 4
Select a line to change it between solid and dotted. Select a region to shade it.
The area between the solid line (y=x+4) and the dotted line (y=-2x-2) represents the system of inequalities solution set.
Two linear inequalities system on a coordinate plane. The first has a solid line graphed with a negative slope of one, a negative y-intercept, and a shaded origin area. The area encompassing the origin is shaded, and the second is a dashed vertical line 3 units to the left of the origin.
x ≥ –3; y ≥ x – 2
x > –3; 5y ≥ –4x – 10
x > –3; y ≥ –x + 1
x > –2; y ≥ –x – 1
The solution set for the system of inequalities is represented by the region between the solid line (y=x+4) and the dotted line (y=-2x-2).
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Which is the better buy?
1 apple for $0.19 or 3 apples for $0.59?
Step-by-step explanation: 1 apple for 19 cents because if you times it three times you get 57 cents which is better
Answer:
1 apple for 0.19
Explanation:
It will be much cheaper. Hope this helps!
Find the value of the power.
3 exponent 5
Answer:
243
Step-by-step explanation:
3*3*3*3*3=243
Answer:
243
Step-by-step explanation:
The graph shows information about the
height of the tide over 12 hours.
How fast is the depth changing at 11:00?
Give your answer as a fraction in its
simplest form.
According to the information we can infer that the change between 11 and 12 is 1.3 m/hr
How much does the height of the wave change between 11 and 12?To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:
5.2 - 3.9 = 1.3According to the above, we can infer that the change between these two hours is 1.3 m/hr.
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Marbles, and 4 green marbles. The second bag contains 3 red marbles,2 blue marbles, and 4 green marbles. Aakesh will randomly select one marble from each bag. What is the probability that Aakesh will select a blue marble from each bag ?
The probability that Aakesh will select a blue marble from each bag is 4/45.
To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.
Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:
P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag
P(Blue from first bag) = 2 / 5
Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:
P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag
P(Blue from second bag) = 2 / 9
To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:
P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)
P(Blue from both bags) = (2 / 5) * (2 / 9)
P(Blue from both bags) = 4 / 45.
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The mass of the gold ever mined is 1.65 x 108 kilograms.
The mass of all the silver ever mined is 1.411 x 10 kilograms
How much more silver has been mined than gold?
Give your answer in standard form.
Kg
Answer:
need points
Step-by-step explanation:
blah blah blah blah blah hope u pass