Answer:
[tex]k=3[/tex]
Step-by-step explanation:
Given that:
Per pound cost of kentucky bluegrass seed = $5.75
Per pound cost of tall fescue seed = $4.50
Per pound cost of mixture of seeds = $5.25
[tex]k[/tex] is the amount of kentucky blue grass.
Total amount of the mixture = 5 pounds
Therefore, amount of tall fescue seed = (5 - [tex]k[/tex]) pounds
To find:
The value of [tex]k[/tex].
Cost of [tex]k[/tex] pounds of kentucky bluegrass seed = [tex]\$5.75k[/tex]
Cost of (5 - [tex]k[/tex]) pounds of tall fescue seed = [tex]\$(5-k)4.50[/tex]
As per question statement:
[tex]5.75k+(5-k)4.50=5.25\times 5\\\Rightarrow 575k+5\times 450 -450k=525\times5\\\Rightarrow 125k=75\times5\\\Rightarrow k =3\ pounds[/tex]
Amount of kentucky blue grass seed used = 3 pounds
Amount of tall fescue seed used = 5-3 = 2 pounds
what are vowels in numbers
hi! i'm not really sure if i comprehend this question clearly, but if you're talking about the vowels in the word "numbers"...
Answer:
the letter "u" and "e"
Step-by-step explanation:
vowels in english are: a, e, i, o, u
hope this helped but if you have any others questions, please feel free to let me know!
If AABC and AXYZ are similar, which must be true?
Answer:
(D).
Step-by-step explanation:
ΔABC ~ ΔXYZ
(D). [tex]\frac{AC}{XZ}[/tex] = [tex]\frac{BA}{YX}[/tex]
An envelope is 48 centimeters wide, and it measures 52 centimeters along the diagonal. How tall is the envelope?
Answer:
20 cm.
Step-by-step explanation:
Pythagorean Theorem a^2 + b^2 = c^2 (c is the hypotenuse).
Plug it in.
48^2 + b^2 = 52^2
2,304 + b^2 = 2,704
Isolate the variable.
b^2 = 400
b = 20
When plotting points on the coordinate plane below, which point would lie on both the x-axis and the y-axis?
O (0,0)
0 (0,6)
O (4,0)
O (1,1)
Answer:
0,0
Step-by-step explanation:
bcbcbb
Answer:
Your answer is 0,0
Step-by-step explanation:
I took the quiz
How do you do this question?
Answer:
∑ₙ₌₀°° (-3x)ⁿ / n!
R = ∞
Step-by-step explanation:
Maclaurin series is:
∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!
Find the nth derivative and evaluate at x=0:
f(x) = e⁻³ˣ
f⁽ⁿ⁾(x) = (-3)ⁿ e⁻³ˣ
f⁽ⁿ⁾(0) = (-3)ⁿ
The Maclaurin series is therefore:
∑ₙ₌₀°° (-3)ⁿ xⁿ / n!
∑ₙ₌₀°° (-3x)ⁿ / n!
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-3x)ⁿ⁺¹ / (n+1)!] / [(-3x)ⁿ / n!]│< 1
lim(n→∞)│(-3x) n! / (n+1)!│< 1
lim(n→∞)│3x / (n+1)│< 1
0 < 1
The radius of convergence is infinite.
What is the mother land
A-Mother russia
B-Morther amica
C-mother shrek
Answer:
A
Step-by-step explanation:
Mother Russia is the mother land
Just double check my work tell me if I’m wrong. But you don’t have to fix it. Thank you
Answer:
Todas estan bien
Step-by-step explanation:
Please Help me with this
Answer:
16X^2 - 8x
Step-by-step explanation:
A = L x W
L = x + 5 + 3x + 4x - 9 = 8x - 4
W = 2x
(8x - 4) (2x) = 16x^2 - 8x
Give the common denominator (LCD) OF
in jacks class 18 of the students are tall and 10 are short. in Michaels class 54 students are tall and 30 students are short. which lass has a higher ratio of tall to short students
Answer:
uhh what kinda class is that big- anyways
Step-by-step explanation:
jacks class
18:10
If you divide 18 by 10 you get 1.8
Micheals class
54:30
If you divide 54 by 30 you get 1.8
therefore neither. They are both equivalent
the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, in jacks class 18 of the students are tall and 10 are short. in Michaels's class, 54 students are tall and 30 students are short.
The ratio of tall to short students in jacks class = 18/10 = 1.8
The ratio of tall to short students in Micheals's class = 54/30
The ratio of tall to short students in Micheals's class = 1.8
Therefore, the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.
Learn more about ratios here:
https://brainly.com/question/13419413
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The domain of a function f(x) is x>_ 0, and the range is y<_ -1. What are the domain and range of its inverse function, f'(x)?
Answer:
Domain of inverse: [tex]x \le -1[/tex]
Range of inverse: [tex]y \ge 0[/tex]
Explanation:
The domain and range swap. This is because the inputs (x) and outputs (y) swap roles when going from the original function to the inverse, and vice versa.
Is this relation a function?
Answer:
yes though i am not completely sure
Step-by-step explanation:
If r = 18 cm, what is the area of this sector? Express your answer
to the nearest tenth of a centimeter.
A 424.2 cm?
536.2 cm?
1
508.9 cm
834.1 cm?
Answer:
466
Step-by-step explanation:
nnnnnnnn
find the value of x
help
Answer:
6.7
Step-by-step explanation:
This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.
Soh in Soh cah toa
So sin(42)=x/10
10 times sin(42)=x
Evaluate using a calculator=6.69130606 and so on
Rounded to the nearest tenth is 6.7
So the answer is 6.7
What equation models the points on the graph
What’s a rationale number ?
Answer:
A Rational Number can be made by dividing two integers.
(An integer is a number with no fractional part.)
Step-by-step explanation:
Answer:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Step-by-step explanation:
Hope this helps. :D
How far are 2 and -5 apart on the number line?
Worth 75 points!! Need help with calculus
Help I will give you brainliest
Answer: 56 45 46
Step-by-step explanation: learned about it in math class
2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.
what is 3t – 6 = t –2.
Answer:
t=2
Step-by-step explanation:
3t-6=t-2(Group like terms)
3t-t=-2+6
2t=4(Divide both sides by 4)
t=2( This is because when you divide both sides by 2, 2 can divide 4 2 times so that's why we have t as equal to 2)
6 is the ______ root of 36
Answer:
6 is the square root of 36
Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income.
Answer:
The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Step-by-step explanation:
The complete question is:
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
Solution:
The (1 - α)% confidence interval for population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error for this interval is:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The critical value of z for 90% confidence level is:
z = 1.645
Compute the required sample size as follows:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot\sigma}{MOE}]^{2}\\\\=[\frac{1.645\times 2103}{500}]^{2}\\\\=47.8707620769\\\\\approx 48[/tex]
Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Explain in your own words when it is best to solve a system using analytical methods versus using graphical or algebraic methods.
Answer:
Analytical methods are the preferred way to determine the outcome of a hypothesis when associated equations are simple and a precise answer is desired.
The algebraic method is more precise. When you "solve" a system you are really identifying the points that all of the lines have in common. In other words, the point at which the lines intersect. Finding the solution with graphs is not precise, but should usually be close enough if that is what is asked.
what is the 5th root of 1/32
Answer:
[tex] \sqrt[5]{ \frac{1}{32} } \\ = \sqrt[5]{( \frac{1}{2} ) {}^{5} } \\ = \frac{1}{2} [/tex]
1/2 is the correct answer of this question......thank you ☺️
helpp plssssss i need
Answer:
3m^4
Step-by-step explanation:
x^y
x is the base and y is the exponent
Darnell has 8 coins worth $1.80. If the coins are all quarters and nickels, how many quarters and nickels does he have?
Answer:
7 quarters 1 nickel
Step-by-step explanation:
7 x.25= 1.75
1.75+ .05= 1.80
DONT SCAM ME 100 POINTS ANSWER QUICK
Answer:
c a those are the answers in order
Answer:
D, C, C, A, B, C
Step-by-step explanation:
A grocery store sells a bag of 4 lemons for $0.79. Which pricing option would result in the same unit price for each lemon?
O A. twelve lemons for $2.37
O B. three lemons for $0.65
O C. six lemons for $1.20
OD two lemons for $0.35
Plz help for 20 points
Answer:
.79/4= .197. Or 20 cents each
The cost per unit of lemon in Option A is same as given per unit cost of lemon in grocery store that is $0.1975
What is cost per unit?Cost of per unit is cost of one unit. Cost per unit can be calculated simply by dividing the total cost of all items by the quantity of given item.
Given Cost of 4 lemons in a grocery store = $ 0.79
Cost of 1 lemon in the grocery store = total cost / 4 = $ 0.79÷ 4 = $0.1975
To check pricing option for same pricing check per unit price of each option.
A. Given twelve lemons for $2.37
Given Cost of 12 lemons = $ 2.37
Cost of 1 lemon = total cost / 12 = $ 2.37 ÷ 12 = $0.1975
B. Given three lemons for $0.65
Given Cost of 3 lemons = $ 0.65
Cost of 1 lemon = total cost / 3 = $ 0.65 ÷ 3 = $0.2167
C. Given six lemons for $1.20
Given Cost of 6 lemons = $1.20
Cost of 1 lemon = total cost / 6 = $ 1.20 ÷ 6 = $0.2
D. Given two lemons for $0.35
Given Cost of 2 lemons = $0.35
Cost of 1 lemon = total cost / 2 = $ 0.35 ÷ 2 = $0.175
Therefore , option A has same per unit cost $0.1975 as given pricing of the grocery store.
Also, learn more about cost price from the link below:
https://brainly.com/question/11027396
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Easy Points!!!! What net force is required to accelerate a car at a rate of 2 m/s if the car has a mass of 3,000 kg?
Answer:
[tex]\boxed {\boxed {\sf 6,000 \ Newtons}}[/tex]
Step-by-step explanation:
Force can be found by multiplying the mass by the acceleration.
[tex]F= m*a[/tex]
The mass of the car is 3,000 kilograms and the acceleration is 2 meters per second squared.
[tex]m=3,000 \ kg \\a= 2 \ m/s^2[/tex]
Substitute the values into the formula.
[tex]F= 3,000 \ kg * 2 \ m/s^2[/tex]
Multiply.
[tex]F=6,000 \ kg*m/s^2[/tex]
1 kg*m/s² is equal to 1 Newton (N). Therefore, our answer of 6,000 kg*m/s² is equal to 6,000 Newtons.
[tex]F= 6,000 \ N[/tex]
The force required is 6,000 Newtons
Mass = 3,000 kg
Acceleration = 2 m/s^2
To Find:The net force.
Formula:Force = Mass × Acceleration
Explanation:Force = 3,000 kg × 2 m/s^2
Force = 6,000 kg × m/s^2
We know that kg × m/s^2 = Newton.
Hence, the net force required is 6,000 N.
6,000 N is the correct answer.
