A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the total number of questions? A. 20:5 B. 5:20 C. 15:20 D. 20:15
A _____________ is a three-dimensional form that has length and width but minimum thickness.
A negative correlation means that ________. select one:
a. high values of one variable are associated with low values of the other
b. high values of one variable are associated with high values of the other
c. low values of one variable are associated with low values of the other
d. there is no relationship between the two variables
A negative correlation means that high values of one variable are associated with low values of the other. This suggests that as one variable increases, the other decreases respectively and vice versa, which can be seen in various real-world scenarios such as the relationship between time spent studying and number of mistakes made on a test.
Explanation:In the context of statistics and data analysis, a negative correlation means that high values of one variable are associated with low values of the other. This implies that as one variable increases, the other decreases correspondingly and vice versa. For instance, if we were examining the relationship between time spent studying and number of mistakes made on a test, a negative correlation might indicate that the more time a student spends studying, the fewer mistakes they make on the test. This is indicative of a negative correlation because as the value of one variable (study time) increases, the value of the other variable (mistakes) decreases.
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Please I need help with this.
A cube 3 1/2 inches long V = _____ cubic inches
The side of cube is given as 3 1/2 inches.
converting 3 1/2 into mixed fraction we have 7/2 inches.
on dividing 7 by 2 we get 3.5 inches
Formula to find volume of cube is given by:
[tex] V = a^{3} [/tex]
where "a" is length of side.
Plugging the value of a in the formula we have,
[tex] V = (3.5)^{3} [/tex]
Volume of cube is 42.875 cubic inches.
Aldo drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Aldo drove home, there was no traffic and the trip only took 5 hours. If his average rate was 21 miles per hour faster on the trip home, how far away does Aldo live from the mountains? Do not do any rounding.
The distance of Aldo's house from the mountains when calculated using the parameters is; 280 miles
How to Solve Algebra Word Problems?We know that distance is given by;
Distance = speed * time
Distance with traffic = 8x
Distance without Traffic plus average rate = 5(x + 21)
Thus;
8x = 5(x + 21)
8x = 5x + 105
3x = 105
x = 105/3
x = 35
Thus;
Distance from his house = 5(35 + 21) = 280 miles
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Wyatt's dog is tethered to a post in his yard. If the rope tied to the dog is 12 feet long, how many square yards does the dog have access to? (Use 3.14 for π.)
https://clackamasweb.owschools.com/media/g_mat08_ccss_2016/7/img_circle_quiz.gif
452.16 yd 2 50.24 yd 2 75.36 yd 2 25.12 yd 2
Solution:
Wyatt's dog is tethered to a post in his yard.
The rope tied to the dog is 12 feet long.
we have been asked to find
How many square yards does the dog have access to?
when Wyatt's dog is tethered to a post in his yard, then that dog can move along that post only and the area covered will be a circle with radius 12ft.
So Area access to dog in ft^2 [tex] = \pi r^2=\pi 12^2=144 \pi [/tex]
But it ask for area in yards, so we will have to use conversion formula
[tex] 1ft=0.33333yard [/tex]
Area access to dog in yards[tex] =144*3.14*(0.33333)^2=50.24 \ Yards [/tex]
Answer:
Wyatt's dog is tethered to a post in his yard.
The rope tied to the dog is 12 feet long.
we have been asked to find
How many square yards does the dog have access to?
when Wyatt's dog is tethered to a post in his yard, then that dog can move along that post only and the area covered will be a circle with radius 12ft.
So Area access to dog in ft^2
But it ask for area in yards, so we will have to use conversion formula
Area access to dog in yards
Step-by-step explanation:
find A if 17th and 18th terms in the expansion of (2+A)^50 are equal.
Solve for x.
[tex]cos x= \frac{ \sqrt{3} }{2}[/tex]
A: 0.15°
B: 0.87°
C: 30°
Using the properties of equality, fill the blanks with the correct value to show the solution for y.
3(y-2)=18
3y-___=18
3y=___
Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model the situation, then find the value of the car in 2018
Value of the car in 2018 after depreciation by 12% each year is equals to $13351.5
What is exponential decay?" Exponential decay is the decrease in the value of the product at a constant rate over a period of time interval."
Formula used
y = a (1 - r)ⁿ
a = Initial value
r =rate of depreciation
n = time
y = exponential function
According to the question,
Cost of new car 'a' = $28750
Rate of depreciation 'r' = 12%
2018 - 2012 = 6years
n = 6
Substitute the given values in the formula we get,
Exponential function
y = 28750 [1 - (12 / 100)]⁶
⇒ y = 28750 ( 1 - 0.12)⁶
⇒ y = 28750 ( 0.88)⁶
⇒ y = 28750 (0.4644) ( up to four decimals)
⇒ y = $13351.5
Hence, value of the car in 2018 after depreciation by 12% each year is equals to $13351.5
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Use the given point on the terminal side of angle 0 to find the value of the trigonometric function indicated.
1)tan0;(10,-18)
2)tan0;(4,3)
A metronome uses a pendulum to keep time. The table gives the angular displacement of a pendulum as it swings back and forth. What is the period of its oscillations?
Time Angle
0.0 15.0
0.1 2.55
0.2 -14.4
0.3 -7.35
0.4 11.6
0.5 11.3
The area of a rectangle is 28^2 , and the length of the rectangle is 1ft more than double the width. find the dimensions of the rectangle.
I don't know: Person 1, person 2, and person 3 made $660, if the ratio is 3:4:5, how much did person 1 person 2, and person 3 get?
Please help, I’m so confused :/
Austin rented a truck for one day. there was a base fee of $15.99 , and there was an additional charge of 82 cents for each mile driven. austin had to pay $123.41 when he returned the truck. for how many miles did he drive the truck?
PLEASE I NEED MAJOR HELP (PICTURE IS DOWN BELOW)
Given the lease terms below, find the total lease cost, assuming that the deposit is nonrefundable.
Terms:
Length of lease: 36 months
MSRP of the car: $21,400
Purchase value of the car after lease: $17,100
Down payment: $1500
Monthly payment: $272
Security deposit: $350
Acquisition fee: $700
The total lease cost is the sum of the down payment, nonrefundable security deposit, acquisition fee, and the total payments over the lease term which amounts to $12,342.
Explanation:The total lease cost can be calculated by adding all fees, the nonrefundable deposit, monthly payments, and any other additional costs. We start by adding the down payment, security deposit, and acquisition fee:
Down payment: $1500Security deposit (nonrefundable): $350Acquisition fee: $700The monthly payment over the term of the lease is calculated by multiplying the monthly payment amount by the number of months in the lease term:
Monthly payment: $272Length of lease: 36 monthsMultiplying the monthly payment by the lease term gives us the total amount paid over the course of the lease:
272 * 36 = $9792Adding all the costs together gives us the total lease cost:
Total lease cost = Down payment + Security deposit + Acquisition fee + Total monthly paymentsTotal lease cost = $1500 + $350 + $700 + $9792Total lease cost = $12342Note that this calculation assumes that the security deposit is nonrefundable, which is often the case in a car lease. It's also important to note that additional costs may apply, such as excess mileage fees or wear and tear.
Divide. 5x3y3z - 6x4y2z2 + 4xy3z xyz
Final Answer:
The result of dividing [tex](5x^3y^3z - 6x^4y^2z^2 + 4xy^3z)[/tex] by xyz is [tex](5x^2y^2 - 6x^3yz + 4y^2z).[/tex]
Explanation:
To divide [tex](5x^3y^3z - 6x^4y^2z^2 + 4xy^3z)[/tex] by xyz, we'll divide each term in the polynomial by xyz separately.
First, let's divide [tex]5x^3y^3z by xyz: (5x^3y^3z) / (xyz) = 5x^2y^2.[/tex]
Then, divide [tex]-6x^4y^2z^2 by xyz: (-6x^4y^2z^2) / (xyz) = -6x^3yz.[/tex]
Lastly, divide [tex]4xy^3z by xyz: (4xy^3z) / (xyz) = 4y^2z.[/tex]
Thus, the resulting polynomial after division is [tex]5x^2y^2 - 6x^3yz + 4y^2z.[/tex]This is derived from individually dividing each term in the polynomial by xyz, simplifying each term, and collecting like terms together to obtain the final result.
In this process, division by xyz means dividing each term of the polynomial by the factors x, y, and z, and simplifying the expression. By doing so, we obtain a simplified form of the polynomial where each term is reduced by the common factors x, y, and z, resulting in the expression [tex](5x^2y^2 - 6x^3yz + 4y^2z)[/tex] as the quotient.
Complete question:
Divide [tex](5x^3y^3z - 6x^4y^2z^2 + 4xy^3z)[/tex] by xyz.
The triangle and the rectangle have the same perimeter.
please help me with algebra 2?! i am so lost on how to do this!
1.Multiply and simplify if possible.
four square root of eleven•four square root of ten
(1 point)
11four square root of ten
11
10
four square root of one hundred ten
2.What is the simplest form of the expression?
cubed root of twenty four times a to the tenth times b to the sixth
(1 point)
3a3b2cubed root of two a
2a3bcubed root of a
2a3b2cubed root of three a
none of these
How can i find one side of a triangle with another side and an angle?
PLEASE ANSWER ASAP.
Find the area of the triangle QRS.
Area = square units
Answer:area is 140
Step-by-step explanation:
Answer:
Area= 140 square units
Step-by-step explanation:
q(-9, 5). r(6,10). s(2,-10).
find the area of the triangle QRS.
Area=140 square units
HELP PLEASE CAN SOMEONE TAKE A LOOK?
1. The investment you make into a start=up company is also known as ____ (1point)
A. Venture Capital
B. first-time investment
C. entrepreneurial capital
D. beginning capital
A certain species of fish require 1.5 1.5 cubic feet of water per fish to maintain a healthy environment. find the maximum number of fish you could put in a tank measuring 6 6 feet by 3 3 feet by 4 4 feet.
Use the complex zeros(1/2, -3+7i, -3-7i) to factor f(x)=-2x^3 - 11x^2 -110x +58
Kendall says the sum of (6x^2+4xy+2y^2) and (4x^2-2xy-3y^2) is (10x^2+2xy-5y^2) what error did Kendall make
The error made was in the summation of the y^2 terms in each expression, leading to an incorrect final sum of the two expressions.
Explanation:Kendall's error lies in incorrectly adding the terms that contain y^2. Specifically, Kendall summed 2y^2 from the first expression and -3y^2 from the second expression, but mistakenly calculated the result as -5y^2 instead of the correct -y^2. Remember, when performing operations with similar terms, you must carry the correct sign along with each term.
So, the correct sum of (6x^2+4xy+2y^2) and (4x^2-2xy-3y^2) is (10x^2+2xy-y^2).
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What's the probability of getting at least k heads in n coin flips?
Two planes start from the same airport and fly in opposite directions. the second plane starts 1/2 hour after the first plane, but its speek is 50 miles per hour faster. find the air speed of cach plan, if 2 hours after the first plante departs, the plans are 2000 miles apart