PLEASE HELP. A playground is shaped like a rectangle with a width 5 times its length (l). What is a simplified expression for the distance between opposite corners of the playground?
Answers
Use the Pythagorean Teorem:
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The volume of a triangular prism with base dimensions of 4 cm height and 10 cm base and a prism height of 15 cm is??
1. Which economic policy was used to help American industry during the Second Industrial Revolution? A.) laissez-faire capitalism B.) socialism C.) collective bargaining D.) populism 2. During the early 20th century, corporations used holding companies to do which of the following? A.) reduce the power of unions B.) shelter earnings from income taxes C.) pursue a policy of vertical integration D.) exert a greater amount of political influence 3. What impact did developments in the steel industry during the 19th century have on the United States? A.) They made steel stronger and more flexible, allowing for the development of aircraft for the military. B.) They made the consumption of oil more important, resulting in a growing dependence on foreign energy sources. C.) They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation. D.) They made it possible to manufacture inexpensive cars, leading to the construction of interstate highways.
Write the resultant of the two vectors as an ordered pair. <3, 6> and <5, –5>
To keep her grades up madeline must earn more than 80 points on her science fair project. Let p represent the number of points she could earn.
7.7,0.7
to GREATEST
least
Answers
(minutes) 20 30 40 50
Distance (y)
(miles) 5 10 15 20
Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points)
[Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]
Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)
Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)
Answers
Part A: The correlation coefficient is 1. It means that the values of both x and y has a strong relationship giving them a avalue of 1.
Part B: The value of the slope of the graph is 0.5. the slope of the line represents how steep is the line of your graph
Part C: The data presented is correlation.
Answers
thus making the entire operation the answer is : 5 of 13 = 5/13
I hope I was helpfull
f(x)=
given x is 2
f(2)=
=
=
Answer=
2k(7-5k)+11=6k+3(k^2-1)
with work please.
Answers
⇒ (2k)* 7 - (2k)* (5k) +11= 6k+ 3* k^2- 3*1 (distributive property)
⇒ 14k -10k^2 +11= 6k+ 3k^2 -3
⇒ (14k -14k) +(-10k^2 +10k^2)+ (11-11) = (6k-14k)+ (3k^2+10k^2)+ (-3-11)
⇒ 13k^2- 8k- 14= 0
⇒ 13 (k^2- 8/13k- 14/13)=0
⇒ (k- ((4+3*sqrt(22))/13))* ((k- ((4-3*sqrt(22))/13))= 0
⇒ k= (4+3*sqrt(22))/13 or k= (4-3*sqrt(22))/13).
Hope this helps~
Answer:
k= (4+3*sqrt(22))/13 or k= (4-3*sqrt(22))/13).
Step-by-step explanation:
2k(7-5k)+11=6k+3(k^2-1)
We move all terms to the left:
2k(7-5k)+11-(6k+3(k^2-1))=0
We add all the numbers together, and all the variables
2k(-5k+7)-(6k+3(k^2-1))+11=0
We multiply parentheses
-10k^2+14k-(6k+3(k^2-1))+11=0
We calculate terms in parentheses: -(6k+3(k^2-1)), so:
6k+3(k^2-1)
We multiply parentheses
3k^2+6k-3
Back to the equation:
-(3k^2+6k-3)
We get rid of parentheses
-10k^2-3k^2+14k-6k+3+11=0
We add all the numbers together, and all the variables
-13k^2+8k+14=0
a = -13; b = 8; c = +14;
Δ = b2-4ac
Δ = 82-4·(-13)·14
Δ = 792
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
k1=−b−Δ√2ak2=−b+Δ√2a
The end solution:
Δ−−√=792−−−√=36∗22−−−−−−√=36−−√∗22−−√=622−−√
k1=−b−Δ√2a=−(8)−622√2∗−13=−8−622√−26
k2=−b+Δ√2a=−(8)+622√2∗−13=−8+622√−26
B. The Isosceles Triangle Theorem can be applied to equilateral triangles.
C. The measure of each angle of an equilateral triangle is 120°.
D. A triangle with three congruent angles is equilateral.
Answers
Answer:
C
Step-by-step explanation:
The measure of each angle in an equilateral triangle is , not
.
prime
composite
neither
Answers
A composite number can be divided evenly by a number that is not itself or 1
Neither would be 1 and negative numbers, as 1 only has one factor (itself) and the terms prime and composite do not include negative numbers.
9 is perfectly divisible by 3 so it is composite.
Answer:
9 has the following factors: 1,9,3
Thus, it is composite
Step-by-step explanation: