A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout
Which location relative to Columbia felt both earthquakes?
4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north
Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north
Which location will feel both earthquakes?
Here we have the inequalities:
(x - 20)^2 + (y - 14)^2 ≤ 625
(x + 8)^2 + (y - 3)^2 ≤ 196
Where, x is the distance due east, and y is the distance due north.
So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:
x = -4
y = -12
Replacing that on the first inequality we get:
(-4 - 20)^2 + (-12 - 14)^2 ≤ 625
1,252 ≤ 625
This is false, so this option is not correct.
Now we just need to check the other options. Particularly for the third we have:
x = 2
y = 10
Replacing that in both inequalities we get:
(2 - 20)^2 + (10 - 14)^2 ≤ 625
340 ≤ 625 (true).
(2 + 8)^2 + (10 - 3)^2 ≤ 196
149 ≤ 196 (true)
So at 2km east and 10km north of Columbia, the two earthquakes can be felt.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
what is the following product?
square root of 30 times the square root of 10
Step-by-step explanation:
That 'd be the square root of 300, which is equivalent to 10sqrt(3).
NOOOO LINKS FILES
At a contest, each diver was scored on a 1-10 scale for each of 8 divee. This data set shows the scores earned by one of the divers
83 8 6 8 834
Which value represents the median of the data set?
A.5
B.6
C.7
D.8
Answer:
6 is the median
Step-by-step explanation:
The median is the same as the number in the middle, and the number in the middle is 6.
Product of ²/₇ with the reciprocal of ⁽⁻³⁾/₈ is
Answer:
Step-by-step explanation:
Reciprocal of (-3)/8 = -8/3
[tex]\frac{2}{7}*\frac{-8}{3}=\frac{2*(-8)}{7*3}=\frac{-16}{21}[/tex]
#11-14 Answers are on the side
32614 round to nearest 100 place?
Answer:
32600
Step-by-step explanation:
Type your answer and describe how
you found the answer
ROSS is a museum tour
guide at the Art Museum.
He charges $35 per person
for a 1 hour tour. He
typically has 54 people on
tours during the week. His
expenses for the week are
approximately
$108.63.
What is the amount of
profit that Ross will make?
Answer:
Ross's profit it 1,781.37
Step-by-step explanation:
$35 per person and 54 people= 35x54=1890
Profit= the amount of money he makes after his expenses.
1890-108.63=1781.37
In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributive property, then combines like terms. Which equation is the result of these steps?
7 x + 6 = 6 x minus 3
2 x + 6 + 5 x = 6 x minus 3
2 x + 3 + 5 x = 6 x minus 1
7 x + 3 = 6 x minus 1
Answer: 7 x + 6 = 6 x minus 3
Step-by-step explanation:
2 (x + 3) + 5 x = 3 (2 x minus 1)Now you distribute.2(x) + 2(3) = 2x+6And 3(2x) minus 3(1) = 6x minus 32x+6+5x = 6x minus 3Then combine like terms2x +5x=7x and there are no other like terms on either side of the equation.7x+6= 6x minus 3Answer:7x+6=6x-3
Step-by-step explanation:
What is the answer to this question?
Answer:
I dont know
Step-by-step explanation:
im trying to get brainly points lol
Help me find the value of x plss
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Answer:
What do we see in triangle -- adj and hyp
cosine since it is SOH CAH TOA
cos(14)/1 =x/480
Answer = 465.74 the real rounding is 466
add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]
Answer:
Step-by-step explanation:
19/4 + 29/5
2.75 + 5.8
= 8.55
Which expressions are equivalent to 3 1/4 - (- 5/8)?
Answer:
3.875
Step-by-step explanation:
Examine the figure of two parallel lines cut by a transversal.
What is the value of x?
Answer:
x=17
Step-by-step explanation:
The angles present are Alternative interior angles. That means that they are congruent. Meaning 4x+7 = 75. To solve for 7, you subtract 7 from both sides. That leaves you with 4x=68. Then you divide both sides with 4. Then you get x=17.
Hope this helps!
BTS!!
Answer:
x = 17
Step-by-step explanation:
75° and (4x + 7)° are alternate interior angles.
If two lines are cut by a transversal, then the alternate interior angles are congruent.
75 = 4x + 7
=> 4x = 68
=> x = 17
Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))
Answer:
3
Step-by-step explanation:
36-27 = 9
[tex]\sqrt{9} = 3[/tex]
y = x2 – 3x + 2
use the discriminant to determine the number of solutions
Answer:
2 real solutions
Step-by-step explanation:
The formula for determining the discriminant is b² - 4ac.
So, let's identify our variables.
a = 1
b = 3
c = 2
Now, we can plug in our values.
3² - 4(1)(2)
9 - 8
1
1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.
what is the answer for is I need help please. 4/5 - 1/4
Answer:
11/ 20
Step-by-step explanation:
it cannot be reduced any further
Answer: 11/20 or in decimal 0.55
Step-by-step explanation:
Please!!!!! HELP!!!!!!!!!
1. You are rolling a pair of dice. What's the probability of getting different numbers on both dice?
Answer:
5/6Step-by-step explanation:
Total outcomes:
6*6 = 36Outcomes with same numbers on both dice:
6Outcomes with different numbers on both dice:
36 - 6 = 30Probability of different numbers on both dice:
30/36 = 5/6Help please!!!!!!!!!! Need ASAP!! Thank you!
Maria can stuff envelopes twice as fast as her friend James. Together they can stuff 6750 envelopes in 4.5 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem?
I thinks it's the last one
hope this helps
Answer:
B. 4.5/t + 4.5/(2t) = 1Step-by-step explanation:
Work = rate*timeMaria's rate = 6750/tJames's rate = 6750/2tTheir rate when working together:
6750/t + 6750/(2t) = 6750/4.5 ⇒ 1/t + 1/(2t) = 1/4.5 ⇒4.5/t + 4.5/(2t) = 1Correct choice is B
plz help for a brainly
Answer:
364yd^2
Step-by-step explanation:
LxWxH
Answer:
its 364
Step-by-step explanation:
you do length times width times height
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show work pls!!!)
Answer: 8
Explanation: To multiply two square roots together, simply multiply the numbers inside the square roots together to get [tex]\sqrt{64}[/tex] which is 8.
Notice that when you multiply a square root times itself, the radical disappears, and you're left with the number inside the original square root.
please help me. Will mark u brainlyist.... Please don't put a randome answer if u don't know.
Answer:
105
Step-by-step explanation:
< 7 is also 105- they are alternate exterior angles
Which triangle side lengths form a right triangle? Choose all that apply.
➪ 5, 6, 7
➪ 6, 8, 14
➪ 8, 15, 17
➪ 10, 12 15
➪ 15, 20, 15
➪ 16, 18, 20
Your answer would be C (8,15,17) and E (15,20,15) or is it 25?
Step-by-step explanation:
:)
GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)
Answer:
.764
Step-by-step explanation:
do it on a calculator (TI84)
Answer:
45.6°
Step-by-step explanation:
take the inverse cosine of 7/10: [tex]cos^{-1}(\frac{7}{10})[/tex]
plug it into a graphing calc and you get ≈ 45.573°, they want 1 decimal place so it would be ≈ 45.6°
What is the theoretical probability that the spinner below will land on 6 if someone spins it 48 times?
Answer:
1/4 or 12*
Step-by-step explanation:
There are 8 possibilities. 2 of them are 6.
2/8=1/4
1/4 of 48 is 12
*The theoretical probability doesn’t change no matter how many times you spin the spinner. It will always be 1/4. (Or 0.25, or 25%). That could be what they’re asking. If you spun it 48 times, it would probably land on a six 12 times. That could also be what they’re asking for. 12:48 = 1:4.
Identify the area of the figure shown.
Answer:
54
Step-by-step explanation:
Find the area of the triangle:
1/2((3 + 5 + 3)*8) = A
1/2((11)*8) = A
1/2(88) = A
44 = A
Find the area of the rectangle:
2 * 5 = A
10 = A
Add the two areas:
10 + 44 = A
A = 54
Which one is correct?
a man diposited 80000 in a bank for 2 years at 10% per annum. after one year policy of bank change
Answer:
if you help me ill help you
Step-by-step explanation:
Carmen's father is 28 years older than her and 3 years ago he was 5 times her age. What are their ages?
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. Be subdivided a portion of his land into 10 separate but essentially equal plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.
Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertiz 1.150 0.1879 6.12 0.000
Required:
What is the equation of the least squares regression line from this sample?
Answer:
The equation of line is
[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]
Step-by-step explanation:
The general equation of line is given as
[tex]y=mx+b[/tex]
where
y is the dependent variable which is yield in this case.
x is the independent variable which is fertilizer in this case
m is the coefficient of the fertilizer whose value is 1.150 from the given values.
b is the constant whole value is 10.100 from the given values.
Thus the equation becomes.
[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]
work out the value of (6-2.5)( 8+4)
Answer:
42
Step-by-step explanation:
Uh, I'm guessing what is being asked here is to solve, so, time to distribute.
(6 - 2.5)(8 + 4)
48 + 24 - 20 - 10
42
