The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)
where a is a constant and a>1
We have; an exponential function that passes through the point (2, 80).
f(x) = 4(x)⁵
Plug (2, 80) in the abovew function:
f(2) = 4(2)⁵ = 128 (false)
f(x) = 5(x)⁴
Plug (2, 80) in the abovew function:
f(2) = 5(2)⁴ = 80 (true)
f(x) = 4(5)ˣ
f(2) = 4(5)² = 100 (false)
f(x) = 5(4)ˣ
f(2) = 5(4)² = 80 (true)
Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.
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15-point question. Pls help
Answer:
3/8
Step-by-step explanation:
There are 8 equal slices so each slice is 1/8th of the whole pizza
1/8+1/8=2/8 he ate right away
2/8+1/8 for what he ate before going to sleep
2/8+1/8=3/8
Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
Product of square of x and cube of y
Where’s the image? I don’t see it
Find the missing side lengths. Leave your answer as radicals in simplest form.
The values of the sides are;
41. x = 18√3. Option D
42. x = 6√3. Option A
How to determine the valuesUsing the different trigonometric identities, we have;
41. Using the tangent identity, we have;
tan 60 = 9√2/y
cross multiply the values
y =9√2 ×√3
y = 9√6
Using the sine identity;
sin 45 = y/x
1/√2 = 9√6/x
cross multiply the values, we have;
x = 9√2 ×√3 ×√2
x = 18√3
42. Using the cosine identity
cos 60 = 3√3 /x
cross multiply, we have;
x = 6√3
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Two cards are drawn from a deck of 52 playing cards. The first card is replaced into the deck before the 2nd card is drawn. What is the probability drawing Ace of Spades and any King?
Answer:
1/676
Step-by-step explanation:
There are 52 cards
P(Ace of spades) = Number of aces of spades / total = 1/ 52
The replace the card
There are 52 cards
There are 4 kings
P(king) = number of kings / total = 4/52 = 1/13
P( ace of spades , replace, any king) = 1/52 * 1/13 = 1 /676
What is the volume of this figure?
Answer:
875 cubic feet
Step-by-step explanation:
as long as you are working with the same variables, it does not matter whether or not you average the data over every month versus every year; the correlation will be the same. group of answer choices true false
The given statement is true.
What is variables?
In statistical modelling, experimental sciences, and mathematical modelling, there are dependent and independent variables. Dependent variables are so named because they are researched in an experiment under the assumption or requirement that they are dependent on the values of other variables according to some rule or law.
The given statement is true.
It does not matter whether we average the data across every month or every year as long as the variables are the same; the correlation will remain the same. Since the correlation coefficient r is a unitless metric, the time variable has no effect on it.
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write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
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find the magnitude and direction of ab -> if the coordinates of a are (-4,6) and the coordinates of b are (-2,13)
The magnitude of ab -> is 7.28 units and the direction is 111.8°.
To find the magnitude and direction of ab ->, we first need to find the components of the vector ab ->. The components can be found by subtracting the coordinates of a from the coordinates of b.
So, the x-component of ab -> is (-2) - (-4) = 2 and the y-component of ab -> is 13 - 6 = 7.
The magnitude of ab -> can be found using the Pythagorean theorem:
|ab ->| = sqrt((2)^2 + (7)^2) = 7.28 units (rounded to two decimal places).
The direction of ab -> can be found using trigonometry.
tan(theta) = (y-component of ab ->) / (x-component of ab ->) = 7/2
theta = arctan(7/2) = 111.8° (rounded to one decimal place)
Therefore, the magnitude of ab -> is 7.28 units and the direction is 111.8°.
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How much will it cost to paint the treasure chest below? A pint of paint can cover 5 ft2 and costs $4.50. You do not need to paint the bottom of the treasure chest.
please show work. its late for geometry and I really need to pass. i will mark brainliest :)
Answer:
I saw people trolling your answer here is the answer! I am sorry what people are doing to you!
There is a rectangle and a cylinder
5ft cost 4.50
Area is 643
Now
643x4.5
Answer:
Around 2893.5
A jar contains 10 blue marbles, 3 red marbles, and 7 white marbles.
What is the probability of selecting a red marble, then a white marble
without replacement?
Answer:
50% chance because (10)/(20)=1/2=0.5=50%
Step-by-step explanation:
hope this helps
one angle of a right angled triangle is 63degree .find the other angle in grades
Answer:
27°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 63° = 180°
x + 153° = 180° ( subtract 153° from both sides )
x = 27°
Answer:
27 degrees
Step-by-step explanation:
A right angled triangle has 1 angle as 90 degree. And as you know the other angle is 63 degree, and the angle sum property of a triangle is 180 degrees. So-
Let's take 'x' as the other angle.
90 + 63 + x = 180
153 + x = 180
x = 180 - 153 = 27
x = 27 degrees
So, the other angle is 27 degrees.
All the angles of the right-angled triangle are- 90, 63, 27.
Which sentence represents m > 417
A-Mary's points, m totaled
B- Calvin ran no less than 41
more than 41
mm
C-The temperature, m, was
D-The magazines' cost, m.
less than 41
Answer: F
Step-by-step explanation:
Because it’s F
HELP NEED ANSWER ASAP!!!!!!!! 100 PTS AND MARK THE BRAINILEST
In the figure shown, L is the center of the circle and PQ is a chord of the circle measuring 20 cm.
What is the length, in cm, of PL? Round to the nearest hundredth digit.
Show me:
(a) length of segment PM (1 point)
(b) what circle property did you use to find the length of PM (1 point)
(c) what formula/theorem did you use to calculate the length of segment PL (1 point)
(d) all math used to calculate the length of segment PL (1 point)
Round your answer to the nearest hundredth digit.
Hence, section PL measures about 18.03 cm in length (rounded to the nearest hundredth digit).
what is length ?The length of a one-dimensional object, such as a line, curve, or straight segment, is measured by the fundamental physical quantity known as length. It is a way to gauge the separation between two points or the size of an object along a specific axis. The International System of Units (SI) uses metres as the unit of length (m). One of the most important ideas in geometry is length, which is used to describe the characteristics of geometric forms and shapes. For instance, the length of a circle is the distance around its circumference, whereas the length of a line segment is the distance between its endpoints.
given
(A) We must first determine the length of chord PQ in order to determine the length of segment PM. Since LM is the perpendicular bisector of PQ in the figure, PM is equal to MQ. PQ's length is 20 cm, so PM and MQ's lengths are each 50 percent of that, or:
PM=MQ=20/2=10 cm
Sqrt(PM2 + LM2) = PL
(d) When we enter the values from parts (a) and (c), we obtain:
Sqrt(10 + 15) = PL
Sqrt(100 + 225) = PL
Sqrt = PL (325)
PL ≈ 18.03 cm
Hence, section PL measures about 18.03 cm in length (rounded to the nearest hundredth digit).
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what is the Pythagorean theorem
Answer:
a^2+b^2=c^2
Step-by-step explanation:
leg1=a
leg2=b
hypotenuse=c
a^2+b^2=c^2
Answer:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Step-by-step explanation:
write a recursive formula for the following arithmetic sequence. 6,-5,-16,-27, …
Hurryyy Plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
F.) Not enough information.
1+1=?
a. 0
b. 1
c. 3
d. 2
i need a good explanation!!!
Answer:
d.2
Step-by-step explanation:
because if you have 1 blue bead then ur friend gives you another blue bead that makes 2 blue beads.
hope this helps
If a random sample of 45 career changers is taken to estimate the mean job search length, what t-score should be used to find a 99% confidence interval estimate for the population mean?
Therefore, the t-score to be used for a 99% confidence interval estimate for the population mean is 2.692.
To find the t-score for a 99% confidence interval estimate for the population mean with a random sample of 45 career changers, we need to use the t-distribution. The t-distribution is used when the population standard deviation is unknown, and we estimate it using the sample standard deviation.
Since the sample size is 45, which is greater than 30, we can approximate the t-distribution with the standard normal distribution (z-distribution). However, to be more accurate, we can still use the t-distribution. For a 99% confidence level, we need to find the critical value associated with a confidence level of 0.995 (since we divide the confidence level by 2 for a two-tailed test).
The degrees of freedom for a sample size of 45 is:
(n - 1) = (45 - 1)
= 44
Using a t-table or a statistical calculator, we can find that the t-score associated with a 99% confidence level and 44 degrees of freedom is approximately 2.692.
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Give a verbal description of the following absolute value function
f(x) = 3 | x - 5 | + 4
Answer:
It is the distance of x from zero. Examples:The absolute value
of 5 is 5.
The absolute value of -10 is 10.
(Complex numbers) The absolute value of 4 + 3 is 5.
Step-by-step explanation:
A reading list for your english class has 20 books on it. in how many ways can you choose four books to read this summer?
There are 4845 ways to choose four books from a reading list of 20 books.
To calculate the number of ways to choose four books from a list of 20, we can use the combination formula. The formula for calculating combinations is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen. In this case, we have 20 books in the reading list, and we want to choose 4 books. Using the combination formula, we can calculate the number of ways as follows:
20C4 = 20! / (4!(20-4)!)
= (20 * 19 * 18 * 17) / (4 * 3 * 2 * 1)
= 4845
Therefore, there are 4845 ways to choose four books from the reading list of 20 books. Each combination represents a unique set of four books that can be read during the summer.
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John produces furniture's which he sells at his sales office .he estimates that the investment for plant and equipment will be $225000, where labor material , packaging ,shipping will be about $1000 per item.if the furniture's are sold for $3000 each what volume is necessary for andualem to break even ?
Andualem needs to sell approximately 113 furniture pieces in order to break even.
To break even, Andualem needs to sell enough furniture to cover the total investment cost and the cost per item. By dividing the total investment cost by the profit per item, we can determine the volume of furniture Andualem needs to sell in order to break even.
To calculate the volume of furniture necessary for Andualem to break even, we need to consider the total investment cost and the cost per item.
The total investment cost includes the cost of plant and equipment, which is estimated to be $225,000. The cost per item includes labor, materials, packaging, and shipping, which amounts to $1,000 per item.
To break even, Andualem needs to cover both the total investment cost and the cost per item through the sale of furniture. The profit per item can be calculated as the selling price minus the cost per item, which is $3,000 - $1,000 = $2,000.
Now, to determine the volume of furniture necessary for Andualem to break even, we divide the total investment cost by the profit per item.
Volume = Total investment cost / Profit per item
Volume = $225,000 / $2,000
Volume = 112.5
Therefore, Andualem needs to sell approximately 113 furniture pieces in order to break even. It is important to note that the volume calculated is rounded up to the nearest whole number, as selling fractional furniture pieces is not feasible.
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if initial concentrations are [a]=0.50 m, [b]=0.75 m, and [c]=1.2 m, and at equilibrium [c]=1.0 m, what is the equilibrium constant?
The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.
The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.
To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.
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[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
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Solve 3x²+7x-13 = 0 Give your solutions correct to 2 decimal places
Answer:
Step-by-step explanation:
\(3x^2+7x-13=0\\x = \frac{-7 +- \sqrt{49+156} }{6}\\ x = \frac{-7 +- \sqrt{215} }{6}\\ x = \frac{-7}{6}+-\frac{14.66}{6}\\ x = \frac{7.66}{6} = 1.27\\ or\\x = \frac{-21.66}{6} = -3.61\)
what statements are true regarding the regular didecagon?
The regular dodecagon is a polygon with 12 sides of equal length and 12 angles of equal measure.
Here are some statements that are true regarding the regular dodecagon:Side Length: In a regular dodecagon, all sides have the same length.Angle Measures: Each internal angle of a regular dodecagon measures 150 degrees.Exterior Angle: Each exterior angle of a regular dodecagon measures 30 degrees.The sum of all the exterior angles of any polygon is always 360 degrees.Diagonals: A regular dodecagon has 30 diagonals, which are line segments connecting any two non-adjacent vertices of the polygon.Symmetry: A regular dodecagon has 12 lines of symmetry. These lines divide the polygon into congruent halves.Regularity: A regular dodecagon is a symmetric polygon, meaning all of its sides and angles are congruent.Area: To calculate the area of a regular dodecagon, you can use the formula:Area = 3 × side length × apothem,
where the apothem is the perpendicular distance from the center of the dodecagon to any of its sides.Circumscribed Circle: A regular dodecagon can be inscribed within a circle, meaning all of its vertices lie on the circumference of a circle.For such more questions on Dodecagon
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How much is 1 oz in mL?
Answer: 29.5735 is 1 ounces in ml
There is 0.0338 ounces in 1 ml (Using Units).
What are units?
Units are the tools to measure and compare different things. Comparison becomes easy when all the units for the measurement are the same. Different units can be classified depending on their use.
There are two type of units
1. Fundamental Units: Fundamental units are all those units that do not depend on any other unit (including themselves). These units cannot be further reduced to the elementary level. In fact, these are elementary units. Only seven fundamental units exist in Metric System or SI system which are
Length (meter, m)
Mass (kilogram, kg)
Time (second, s)
Temperature (kelvin, K)
Amount of substance (mole, mole)
Electric current (ampere, A)
Luminous intensity (candela, cd)
2. Derived units:These units are all those units that are obtained by multiplying and/or dividing one or more fundamental units with or without introducing any other numerical factor. These units can be reduced to their elementary level, which is composed of fundamental units. There exist a large number of derived units in the Metric System.
Examples:
Velocity (m/s)
Acceleration (m/s2)
Momentum (kg-m/s)
Force (N)
Density (kg/m3)
Heat (J)
Energy (J)
Power (W), etc.
Now, To change 1ml to ounces
divide 1ml by 29.574 this will give us value in ounces
Therefore, 1ml/29.574= 0.0338 ounces
hence,
There is 0.0338 ounces in 1 ml.
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I can't now the answer for this question. The question is, select all the number that are 10 times as much as 72. 67 or 1/10 of 72. 67
The only number that is 10 times as much as 72 is 720.
To find the numbers that are 10 times as much as 72 or 1/10 of 72, we can perform the following calculations:
10 times 72 = 720
1/10 of 72 = 7.2
So, the numbers that are 10 times as much as 72 are 720.
The number 67 is not 10 times as much as 72 or 1/10 of 72. Therefore, it is not one of the numbers we are looking for.
On the other hand, 1/10 of 72 is 7.2, which is not one of the numbers we are looking for either.
Therefore, the only number that is 10 times as much as 72 is 720.
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complete question
Select all the numbers that are 10 times as much as 72, 67, or 1/10 of 72.
- 67
-46
-720
-480
Pls help I will give you 15 points only
solve pls brainliest
Answer:
3.275
Step-by-step explanation:
Just put the question in your scientific calculator