3 1/6 / 1/3 =
19/6 / 1/3 =
19/6 * 3/1 = 57/6 = 9 1/2 gallons per square foot
Answer:
Mr. Kirkson uses 9.60 gallons of water per square foot to water his garden each week.
Step-by-step explanation:
This problem can be solved by a simple rule of three.
We have that 1/3 = 0.33 square foot of his garden uses uses 3 1/6 = 19/6 = 3.167 gallons of water. How many are used per square foot? So:
1 foot - x gallons
0.33 foot - 3.167 gallons
[tex]0.33x = 3.167[/tex]
[tex]x = \frac{3.167}{0.33}[/tex]
[tex]x = 9.60[/tex]
Mr. Kirkson uses 9.60 gallons of water per square foot to water his garden each week.
Divide m2n2/p3 by mp/n2 .
Answer:
The answer is 'm'.
Step-by-step explanation:
Here, the given expression,
[tex]\frac{\frac{m^2n^2}{p^3}}{\frac{mp}{n^2}}[/tex]
[tex]=\frac{m^2n^2\times n^2}{p^3\times mp}[/tex]
[tex]=\frac{m^2n^{2+2}}{p^{3+1}m}[/tex] ( [tex]a^m.a^n=a^{m+n}[/tex] )
[tex]=\frac{m^2p^4}{p^4m}[/tex]
[tex]=m^2p^4p^{-4}m^{-1}[/tex] ( [tex]a^{m}=\frac{1}{a^{-m}}[/tex] )
[tex]=m^{2-1}p^{4-4}[/tex]
[tex]=m^1p^0[/tex]
[tex]=m[/tex]
f (x) = x5 − 8x4 + 21x3 − 12x2 − 22x + 20 Three roots of this polynomial function are −1, 1, and 3 + i. Which of the following describes the number and nature of all the roots of this function?
f (x) has two real roots and one imaginary root.
f (x) has three real roots.
f (x) has five real roots.
f (x) has three real roots and two imaginary roots.
Answer:
It's D on edge.
The f(x) has three real roots and two imaginary roots option (D) is correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial:
f(x) = x⁵ − 8x⁴ + 21x³ − 12x² − 22x + 20
The three roots of this polynomial function are −1, 1, and 3 + i.
We can write the function in a factored form:
f(x) = (x - 1)(x⁴ - 7x³ + 14x² +2x - 20)
Again factoring the above polynomial:
f(x) = (x - 1)(x + 1)(x - 2)(x² -6x + 10)
The roots of the polynomial are
x - 1 = 0
x = 1
x + 1 = 0
x = -1
x - 2 = 0
x = 2
x² - 6x + 10 = 0
The above quadratic equation has two complex roots.
x = 3 + i
x = 3 - i
Thus, the f(x) has three real roots and two imaginary roots option (D) is correct.
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the senior is having a car wash to raise money. They can wash about 35 cars in 5 hours. if they are washing the same number of cars each hour, how many cars do they wash in 1 hour
Hello!
your answer is 75 • $6 - $35
next time add the answers too for these questions that's why the other guy didn't give you the right answer
explain...................
A water tank holds 24000 gallons. How many hours will it take for 2/3 of the water to be used if the water is used at an average rate of 650 gallons a day?
Mr.Chaves spent $199.99 for a new smart phone $39.99 on a carrying case, and $59.99 on accesiories. The expression l-199.99l+l39.99l+l59.99l represents the total amount that Mr.Chaves spent. How much did he spend all together.
First answer will get brainiliest
G write the equation in spherical coordinates. (a) 7z2 = 8x2 + 8y2
Answer:
[tex]\displaystyle 7 \cos^2 \phi - 8 \sin^2 \phi = 0[/tex]
General Formulas and Concepts:
Multivariable Calculus
Spherical Coordinate Conversions:
[tex]\displaystyle r = \rho \sin \phi[/tex][tex]\displaystyle x = \rho \sin \phi \cos \theta[/tex][tex]\displaystyle z = \rho \cos \phi[/tex][tex]\displaystyle y = \rho \sin \phi \sin \theta[/tex][tex]\displaystyle \rho = \sqrt{x^2 + y^2 + z^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle 7z^2 = 8x^2 + 8y^2[/tex]
Step 2: Convert
[Equation] Substitute in Spherical Coordinate Conversions:∴ we have found the given equation in terms of spherical coordinates.
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Topic: Multivariable Calculus
Unit: Triple Integrals Applications
A package of breadcrumbs to feed the ducks at the duck pond costs $0.25. How many packages of bread crumbs could be bought with $23.50
the quotient of a number and three is equal to negative eight
PLZ ANSWER I BEG U
An airplane flies to San Francisco from Los Angeles in 4 hours. It flies back in 3 hours. If the wind is blowing from the north at a velocity of 20 mph during both flights, what was the airspeed of the plane (its speed in still air)?
Which equations have a greater unit rate than the rate represented in the table?
Choose more than one
x y
-----
3 2
6 4
9 6
A. y=5/7x
B. y=3/5x
C. y=1/3x
D. y=7/9x
E. y= 7/11x
(a) y=5/7x and (d) y=7/9x have a greater unit rate than the rate represented in the table.
What is slope intercept form?y=mx+c is the slope intercept form where m is the slope and c is y intercept.
The given table is
x 3 6 9
y 2 4 6
The formula to calculate slope is m =y₂-y₁/x₂-x₁
(3,2 ) and (6, 4) are two points.
x₁=3, y₁=2 , x₂=6 and y₂=4
m=4-2/6-3
m=2/3.
Now let us check the equation with greatest slope
(a) y=5/7x
5/7 > 2/3
(b) y=3/5x
3/5 < 2/3
(c) y=1/3x
1/3 < 2/3
(d) y=7/9x
7/9 > 2/3
(e) y= 7/11x
7/11< 2/3
Hence (a) y=5/7x and (d) y=7/9x have a greater unit rate than the rate represented in the table.
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What is the 4th term of the sequence?
a1 = 8 and an = 6 + an – 1
a4 =
Find (3 × 104) − (5 × 102).
For problems 2-3: data were collected on the contents of 1-kilogram sugar packets of brands 1 and 2. assume contents are normally distributed. let and be the true average and standard deviation of contents for brand ( = 1, 2). data summaries are given below. data summary brand 1: = 16, ̅ = 1.053, = 0.058 brand 2: = 16, ̅ = 1.071, = 0.062 2. we would like to determine if there is evidence that brand 1 has a lower average content that brand 2. what hypothesis test will we conduct?
a. : − = 0 versus : − ≠ 0
b. : − = 0 versus : − > 0
c. : − < 0 versus : − = 0
d. : − = 0 versus : − < 0 3. what is the value of the test statistic for testing : = ?
a. 0.9355
b. 0.8751
c. −0.018
d. −0.848
Payout Annuities:
1. You want to be able to withdraw $30,000 from your account each year for 15 years after you retire.
You expect to retire in 30 years.
If your account earns 5% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?
To achieve your retirement goals of withdrawing $30,000 per year for 15 years, you will need to deposit approximately $121,200 each year until retirement.
Explanation:To determine how much you need to deposit each year until retirement, you can use the formula for the present value of an annuity. The formula is:
PV = PMT x ((1 - (1 + r)^-n) / r)
Where:
In this case, the annuity payment amount is $30,000, the interest rate is 5%, and the number of periods is 15 years. Plugging these values into the formula:
PV = $30,000 x ((1 - (1 + 0.05)^-15) / 0.05)
Simplifying the equation:
PV = $30,000 x ((1 - 1.798) / 0.05)
PV = $30,000 x (0.202 / 0.05)
PV = $30,000 x 4.04
PV = $121,200
Therefore, you will need to deposit approximately $121,200 each year until retirement to achieve your retirement goals.
Can someone help me with this question?
State the Pythagorean Theorem and tell how you can use it to solve problems
Help me asap!!! :) please
Mark you a brainly!
30 /10 = 3
so multiply 9 by 3
9*3 = 27
9/10 = 27/30
a = 27
What percent of 43.75 is 70
find the area of the figure (sides meet at right angles)
whats the awnser is it 600
3600/300 = 12
4800/400 = 12
the common ratio is 12 so divide pounds of milk by 12 to get pounds pf ice cream
6000 / 12 = 500
Answer is B
It is estimated that there are 10^20 grains of sand on a beach in Florida in April. The beach is heavily eroded by tourists over the peak summer holiday season. Approximately one hundredth of the beach is removed as a result of this erosion. How many grains of sand are removed from the beach?
Answer:
c
Step-by-step explanation:
____ provides a greater degree of security by implementing port-based authentication. ieee 802.3ad ieee 802.11n ieee 802.1x ieee 802.1z
1/4 + -2/3 (SIMPLIFY)
Answer:
[tex]\large\boxed{\dfrac{1}{4}+-\dfrac{2}{3}=-\dfrac{5}{12}}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{4}+\left(-\dfrac{2}{3}\right)=\dfrac{1}{4}-\dfrac{2}{3}\\\\\text{You must find the common denominator.}\\\\\text{List of multiples of 3:}\ 0,\ 3,\ 6,\ 9,\ \boxed{12},\ 15,\ ...\\\text{List of multiples of 4:}\ 0,\ 4,\ 8,\ \boxed{12},\ 16,\ ...\\\\\text{The common denominator is}\ \boxeed{12}.\\\\3\cdot4=12\\\\\dfrac{1}{4}=\dfrac{1\cdot3}{4\cdot3}=\dfrac{3}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}\\\\\\\dfrac{1}{4}-\dfrac{2}{3}=\dfrac{3}{12}-\dfrac{8}{12}=\dfrac{3-8}{12}=-\dfrac{5}{12}[/tex]
[tex]r \frac{8}{11} r \frac{10}{11} [/tex] Simplify. Write your answer using a single, positive rational exponent
In how many ways can 3 boys and 3 girls sit in a row if the boys and girls are each to sit together?
The boys and girls are each to sit together, and there are 3 boys and 3 girls. The total number of ways to arrange them is 36.
Explanation:The boys and girls are each to sit together, meaning that the boys should sit together in one group and the girls should sit together in another group. We can consider these two groups as two separate entities.
The number of ways to arrange the boys within their group is 3! (3 factorial), because there are 3 boys. Similarly, the number of ways to arrange the girls within their group is also 3!. Since these two groups can be arranged independently of each other, the total number of ways to arrange the boys and girls is 3! * 3! = 6 * 6 = 36.
Is m=0.75d-2 proportional?
Answer:
No, the equation m=0.75d-2 does not represent proportional relationship.
Step-by-step explanation:
The given equation is
[tex]m=0.75d-2[/tex]
We need to check whether the given equation represents proportional relationship or not.
If variable y is proportional to variable x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is the constant of proportionality.
At x=0 the value of y is 0. It means, if a linear equation represents proportional relationship then it must be passes though the origin.
Substitute d=0 in the given equation.
[tex]m=0.75(0)-2[/tex]
[tex]m=-2[/tex]
The line passes through the point (0,-2).
Since the line does not pass through the origin, therefore it does not represent proportional relationship.
The veterinarian weighed Oliver’s new puppy, Boaz, on a defective scale. He weighed 46 pounds. However, Boaz weighs exactly 44.5 pounds. What is the percent of error in measurement of the defective scale to the nearest tenth?
The mass of a radioactive element at time x is given by the equation below, where c is the original mass and h is the half-life of the element. The half-life of a substance is 4.9 years. How long will it take for 36 grams to decay to 10 grams? (Round your answer to one decimal place.)
M(x)=c(.5^x/h)
A 7 pound bag of grass seed covers 2,000 square feet. How many pounds would be needed to cover 35,000 square feet? Round your answer to the nearest pound.
35000 / 2000 = 17.5
17.5 * 7 = 122.5 pounds round to 123 pounds are needed
A retangular box is 2 cm high, 4 cm wide and 6 cm deep. M packs the box with cubes, each 2 cm by 2 cm by 2 cm with no space left over . How many cubes fit in the box?