What is the value of 4x to the 3rd degree + 4x when x=4
HELP THIS IS URGENT 40 POINTS
Josiah, the manager of a pet store, bought 72 oz of water conditioner to use in his fish tanks. His small tanks would require 2 oz of conditioner and his large tanks would require 6 oz of conditioner. He made a sketch to show the line representing the different combinations of tanks he could put the water conditioner into. The x-axis represented the number of small tanks and the y-axis represented the number of large tanks. The manager labeled only the intercepts.
Which points did the manager label?
(0, 6) and (2, 0)
(0, 12) and (36, 0)
(6, 0) and (0, 2)
(0, 36) and (12, 0)
What is the domain of this relation?
{ (-1,5), (4,1), (8,3), (4,5) }
a car drives 630 miles on 35 gallons of gas. How far can it drive on 12 gallons?
The car can drive 216 miles on 12 gallons.
What is displacement?The rate of change of position is called as displacement.
Now it is given that,
Distance traveled by car = 630 miles
Gas required to travel 630 miles = 35 gallons
Therefore, Distance travel n 1 gallon = Distance traveled by car / Gas required to travel 630 miles
⇒ Distance travel n 1 gallon = 630 / 35 miles
⇒ Distance travel n 1 gallon = 18 miles
Therefore, Distance travel n 12 gallon = 12 * Distance travel n 1 gallon
⇒ Distance travel n 12 gallon = 12 * 18 miles
⇒ Distance travel n 12 gallon = 216 miles.
Thus, the car can drive 216 miles on 12 gallons.
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A fair coin is tossed 9 times. what is the probability that the coin lands head at least 7 times?
A transversal must intersect two or more _____ lines.
Answer:
paralell lines, i think.
Step-by-step explanation:
four students volunteer at the hospital. Casey volunteers 20.7 hours,Danielle, two and three fourths, Javier 18 nine tenths, And Forrest twenty and eighteen twenty fiths who volunteerd the greatsest number of hours?
(1 point) find ∬rf(x,y)da∬rf(x,y)da where f(x,y)=xf(x,y)=x and r=[1,6]×[4,5]r=[1,6]×[4,5].
The double integral of the function f(x, y) = x over the rectangle defined by [1, 6] and [4, 5] is calculated through an iterated integral to be 17.5.
Explanation:The problem asks to find double integral of the function f(x, y) = x over the rectangle R defined by the interval [1, 6] for x and [4, 5] for y. To find this, we perform an iterated integral. The integral is setup as follows:
∬Rf(x,y)dA = ∫ from 1 to 6 ∫ from 4 to 5 x dy dx
We first integrate with respect to y which gives us: xy| from 4 to 5 = x(5) - x(4) = x.
Then, we integrate this result with respect to x which gives us: 0.5x²| from 1 to 6 = 0.5(6^2) - 0.5(1^2) = 17.5
So, ∬Rf(x,y)dA equals to 17.5
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Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10
Write an equation to determine the distance in miles (x) between the airport and Ann's home.
Write an equation to determine the distance in miles (x) between the airport and Ann's home.
Express 15/(1 - 3x)2 as a power series by differentiating the equation below. what is the radius of convergence?
Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $700. Her goal is to raise more than $8,900. How many more T-shirts, x, does Carlene need to sell to reach her goal?
Carlene needs to sell 400 more T-shirts at $20.50 each to reach her goal of raising more than $8,900, after already raising $700.
The question asks us to determine how many more T-shirts, designated as x, Carlene needs to sell to reach her fundraising goal of more than $8,900, given that each T-shirt costs $20.50 and she has already raised $700. To solve for x, we can set up the following equation:
Total goal - Amount already raised = Amount still needed
$8,900 - $700 = $8,200
Next, we divide the amount still needed by the price per T-shirt to find out how many T-shirts need to be sold:
x = Amount still needed / Price per T-shirt
x = $8,200 / $20.50
x = 400
Carlene needs to sell 400 more T-shirts to reach her goal.
Using the Rational Root Theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12?
-4/5 and 3/4
-4/5 and -3/4
-1, -4/5, 3/4 and 1
-1. -4/5, -3/4 and 1
Answer:
Option 1 is correct.
Step-by-step explanation:
The given polynomial is
[tex]f(x)=20x^4+x^3+8x^2+x-12[/tex]
we have to find all the rational roots of the polynomial f(x)
The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number i.e in the form of [tex]\frac{p}{q}[/tex]
where p is a factor of constant term and q is the factor of coefficient of leading term.
In the given polynomial the constant is -12 and the leading coefficient is 20.
[tex]\text{All possible factor of -12 are }\pm1,\pm2, \pm3, \pm4,\pm6,\pm12[/tex]
[tex]\text{All possible factor of 20 are }\pm1,\pm2,\pm4,\pm5,\pm10,\pm20[/tex]
So, the all possible rational roots of the given polynomial are,
[tex]\pm1,\pm2, \pm3, \pm4,\pm6,\pm12,\pm\frac{1}{2},\pm\frac{3}{2},\pm\frac{1}{4},\pm\frac{3}{4},\pm\frac{1}{10},\pm\frac{1}{5},\pm\frac{3}{5},\pm\frac{3}{10},\pm\frac{2}{5},\pm\frac{6}{5},\pm\frac{1}{20},\pm\frac{3}{20},\pm\frac{4}{5},\pm\frac{12}{5}[/tex]
Now, the rational roots of polynomial satisfy the given polynomial
[tex]f(-\frac{4}{5})=20(-\frac{4}{5})^4+(-\frac{4}{5})^3+8(-\frac{4}{5})^2-\frac{4}{5}-12=\frac{256}{625}\times 20-\frac{64}{125}+\frac{128}{125}-\frac{4}{5}-12[/tex]
[tex]=\frac{1024}{125}-\frac{64}{125}+\frac{128}{25}-\frac{4}{5}-12[/tex]
[tex]=\frac{960}{125}+\frac{128}{25}-\frac{4}{5}-12=12-12=0[/tex]
Hence, rational root.
[tex]f(\frac{3}{4})=20(\frac{3}{4})^4+(\frac{3}{4})^3+8(\frac{3}{4})^2+\frac{3}{4}-12=\frac{405}{64}+\frac{27}{64}+\frac{9}{2}+\frac{3}{4}-12=0[/tex]
rational root
[tex]f(1)=20(1)^4+(1)^3+8(1)^2+1-12=20+1+8-11=18\neq 0[/tex]
not a rational root.
hence, option 1 is correct
Answer:
The first option
Step-by-step explanation:
Right on edg:)
Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x2 from (−1, 2) to (1, 2) (a) find a function f such that f = ∇f. f(x, y) = x3 3+ y3 3 correct: your answer is correct. (b) use part (a) to evaluate c ∇f · dr along the given curve
c.
In this exercise we have to perform the parameterization of the given function and we will have:
[tex]\int\limits_C {f} \, dr = f(1, 2)-f(-1, 2)= 2/3[/tex]
In there is some scalar function [tex]f(x, y)[/tex] such that:
[tex]\nabla f(x,y) = f(x, y) = x^2i+y^2j[/tex]
Then we want to find [tex]f[/tex] such that:
[tex]f'(x)= x^2= f(x,y) = \frac{x^3}{3} + g(y)\\f'(y)= y^2= f(x,y)= \frac{y^3}{3} + C\\f(x, y)= \frac{x^3}{3} +\frac{y^3}{3} + C[/tex]
So the vector filed [tex]f(x, y)[/tex] is conservative, which means the fundamental theorem applies; the line integral of [tex]f[/tex] along any path [tex]C[/tex] parameterized by some vector-valued function [tex]r(t)[/tex] over [tex]a\leq t\leq b[/tex] is given by:
[tex]\int\limits_C {f} \, dr\\\int\limits^t=a_t=b {f(r(t))} \, dt= f(r(b))-f(r(a))[/tex]
In the case:
[tex]\int\limits_C {f} \, dr = f(1, 2)-f(-1, 2)= 2/3[/tex]
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This problem requires calculation in multivariable calculus. Function f = ∇f when f(x, y) = x³/3 + y³/3. To calculate the line integral of ∇f · dr over the curve c, take the difference between the end and start points of the scalar function.
Explanation:The subject for this calculation is multivariable calculus, dealing with operations such as the gradient (∇) and line integrals.
According to the given function f(x, y) in part (a), it can be seen that f = ∇f for f(x, y) = x³/3 + y³/3. The vector field of this function is conservative since it corresponds to the gradient of a scalar function.
For part (b), you will need to calculate the line integral of ∇f · dr over the curve c, which is y = 2x² from (-1, 2) to (1, 2). The result of this will be the difference between the end and start points of the scalar function: f(1, 2) - f(-1, 2).
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Last week, Marcus had a balance of - $10 in his savings account. This week, the balance is $10. Which equation would show the change,c, in his savings account...?
A. -10 + c =10
B. c + 10 =10
C. c + -10 =-10
D. -10 - c =-10
What is the term for a descriptive value found by using data from a census?
choices are....
Statistics
Parameter
Mean
Median
Mode
Answer:
Parameter
Step-by-step explanation:
What is the rational exponent expression of 3 square root 4n
Help super important
Based on the figure below, what is the value of x?
A. 5
B. 7
C. 11
D. 15
Two weeks ago, Alice came home from vacation and noticed that a bean plant was growing in her garden. Today, the stalk is $452$ centimeters tall, and Alice observed that its height increases by $5\%$ every day. How tall was the plant $2$ weeks ago when she first noticed it growing? Express your answer as a decimal to the nearest tenth.
Answer:
Te plant was 228.29 centimeters tall.
Step-by-step explanation:
To find the size of the plant 14 days (2 weeks ago), we will use a formula called "exponential growth."
[tex]A=P(1+r)^{t}[/tex]
where
A=accumulated amount.
P=initial ammount
r=rate
t=elapsed time.
replacing the values we have
A=452 centimeters
P=variable to find
r=5% = 0.05
t=2 weeks= 14 days
So, we substitute the values in the equation
[tex]452=P(1+0.05)^{14}[/tex]
Then, we clear the variable P
[tex]P=\frac{452}{1.05^{14} }[/tex]
and perform the operations
[tex]P=\frac{452}{1.979931} =228.29centimeters[/tex]
A box contains 12 1/2 square feet of tiles and costs $40.21 what is the approximate price per square foot
The approximate cost per square foot for the tiles is $3.22 when rounded to the nearest cent.
To calculate the price per square foot of tiles, divide the total cost of the tiles by the total number of square feet. The total cost given is $40.21, and the total area is 12 1/2 square feet.
First, convert the mixed number to an improper fraction. 12 1/2 is the same as 25/2 square feet. Now, to find the cost per square foot, perform the following division:
Price per square foot = Total cost / Total area in square feet
Price per square foot = $40.21 / (25/2 square feet)
Multiply by the reciprocal:
Price per square foot = $40.21 / 1 x 2 / 25
Price per square foot = $40.21 x 2 / 25
Price per square foot = $80.42 / 25
Price per square foot = $3.2168
Therefore, the approximate cost per square foot for the tiles is $3.22 when rounded to the nearest cent.
The approximate price per square foot is $3.22.
To find the price per square foot, divide the total cost by the total square footage. In this case, the cost is $40.21 and the square footage is 12 1/2 square feet.
1. Cost per square foot = Total cost / Total square footage
2. Cost per square foot = $40.21 / 12.5 sq ft ≈ $3.22/sq ft
1. Convert 12 1/2 square feet to a decimal: 12.5 sq ft.
2. Divide the total cost by the total square footage: $40.21 / 12.5 sq ft ≈ $3.22/sq ft.
To calculate the cost per square foot, you need to divide the total cost by the total square footage. In this case, the total cost is $40.21, and the total square footage is 12 1/2 square feet. First, convert 12 1/2 square feet to a decimal, which is 12.5 sq ft. Then, divide the total cost by the total square footage:
Cost per square foot = $40.21 / 12.5 sq ft ≈ $3.22/sq ft.
Therefore, the approximate price per square foot is $3.22.
complete question
A box contains 12 1/2 square feet of tiles and costs $40.21 what is the approximate price per square foot
On a map of Texas, one inch represents 25 miles. If Dallas and San Antonio are 6.4 inches apart, how many miles apart are they? A) 1,600 B) 160 C) 256 D) 390.6
I believe your answer is B)160. But i'm not 100%. <3
Each member of a four-member relay team ran 100 meters during the relay. The time, in seconds, for each member is shown below. 13.9 s, 12.85 s, 14.82 s, 12.74 s Which expression finds the total time for the relay team?
Answer:
T = 13.9 + 12.85 + 14.82 + 12.74
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
Based on the information in the question, the total time for the relay would be calculated by simply adding each of the four-relay members time during the 100 meter run. Therefore the expression would be
T = 13.9 + 12.85 + 14.82 + 12.74
T = 54.31 seconds.
If we decided to solve for the Total time (T) it would add up to 54.31 seconds for the relay time. But since the question did not ask for the total but just the expression. Then the answer is the expression above.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
how do you make a equation from slope intersecpt
The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 202 feet. Find the width of the garden.
I need help for all of these. Please give me all these answers, not just one please! :(
The formula B=32A is used in New England to estimate the minimum furnace output, B, in BTUs, for a modern house with A square feet of flooring. Determine the minimum furnace output for a 1700 square foot modern house
factor -1/4 out of -1/2-5/4y
To factor -1/4 out of -1/2-5/4y, you can use the distributive property and simplify the expression to 1/8 + 5/16y.
Explanation:To factor -1/4 out of -1/2-5/4y, you can use the distributive property. First, rewrite the expression as (-1/2) + (-5/4)y. Then, factor out -1/4: (-1/4)(-1/2) + (-1/4)(-5/4)y. This simplifies to 1/8 + 5/16y.
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The world record for the 24 hour run for women on all surfaces is 255.303 kilometers, set by mami kudo of Japan in 2011. What was her average speed?
The average speed of Mami on all surfaces is 10.64 km/hr.
What is average?Average is the mid value of two different higher and lower values. The average can be determined by taking the sum of all data and then dividing it by the number of data or the total value divided by the total no. of values.
Given a runner in 24 hours named Mami can run 255.303 kilometers on all surfaces.
∴ Her average speed is (255.303/24) km/hr.
= 10.64 km/hr.
∴ Her average speed is 10.64 km/hr all surfaces.
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4 and one half divided by 3
ANSWER ASAP!!
How is .8333 as a fraction 5/6?
The decimal 0.8333 is equivalent to the fraction 2/3.
To convert the decimal 0.8333 to a fraction, follow these steps:
Step 1: Let x be the decimal value:
x = 0.8333
Step 2: Multiply both sides of the equation by 10000 to remove the decimal:
10000x = 8333.3
Step 3: Subtract x from both sides of the equation:
10000x - x = 8333.3 - 0.8333
9999x = 8332.4667
Step 4: Divide both sides of the equation by 9999 to isolate x:
x = 8332.4667 / 9999
Divide both the numerator and the denominator by their greatest common divisor, which is 3333:
x = (8332.4667 ÷ 3333) / (9999 ÷ 3333)
x = (2.49995) / 3
Now, the fraction as a whole number over the denominator:
x = 2 / 3
Therefore, the fraction is 2/3.
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If f(x) is a continuous function defined for all real numbers, f(–10) = –2, f(–8) = 5, and f(x) = 0 for one and only one value of x, then which of the following could be that x value?
–7
–9
0
2
The only value of x where f(x) = 0 can be determined by looking at the function's behavior near the x-axis and using the Intermediate Value Theorem. In this case, the potential x value is -9.
The one and only value of x where f(x) = 0 is the point of the function that intersects the x-axis. Since the function is continuous, it must cross the x-axis at this point due to the Intermediate Value Theorem.
To determine the possible value of x, we look at the given function values at x = -10 and x = -8 and identify where the function changes sign from negative to positive. The value of x where this sign change happens is the possible x value.
From the provided choices, the only value that would make this sign change possible is -9. Therefore, -9 could be the value of x where f(x) = 0.