the earthquake was felt as far as approximately 86 miles away from its epicenter.
How to find what is an earthquake?
The epicenter of the earthquake is located at (-1,8), and the farthest reported location where people felt the earthquake is located at (85,8).
We can calculate the distance between these two points using the distance formula:
d = √((x2 - x1)²2 + (y2 - y1)²2)
where (x1,y1) = (-1,8) is the epicenter and (x2,y2) = (85,8) is the farthest reported location.
Substituting the values into the formula, we get:
d = √((85 - (-1))²2 + (8 - 8)²2)
Simplifying, we get:
d = √((86)²2 + (0)²2)
d = √(7396)
d ≈ 86 miles
Therefore, the earthquake was felt as far as approximately 86 miles away from its epicenter.
An earthquake is a sudden and rapid shaking of the Earth's surface, caused by the movement of tectonic plates beneath the Earth's crust. Earthquakes can vary in size and intensity, from minor tremors to major seismic events that can cause significant damage and loss of life.
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Helppppp!
Regular pentagon RSTUV has sides that are half the length of regular pentagon JKLMN,
What is the ratio of the perimeter of pentagon RSTUV to the perimeter of pentagon JKLMN?
A 1:2
B, 1:4
C, 1:5
D. 1:10
E, 1:25
Answer:
A, 1:2 ratio
Explanation:
Since 1 is half of 2, and the problem states that RSTUV is half of JKLMN, A is the correct ratio.
Answer:
c
Step-by-step explanation:
68/7 in fraction form
Answer:
9.71 in decimal form
Step-by-step explanation:
is the equation a true statement when x equals -3 in other words is -3 a solution to the equation 6 x + 5 = 5x +8 + 2x explained? explain
Answer: Yes
Step-by-step explanation: bc 6(-3)+5=5(-3)+8+2(-3)
Becomes -18+5=-15+8+-6 which equals -13 on both sides meaning -3 is a solution
6x+5=5x+8+2x
6x+5=(5x+2x)+(8)(Combine Like Terms)
6x+5=7x+8
6x+5=7x+8
Step 2: Subtract 7x from both sides.
6x+5−7x=7x+8−7x
−x+5=8
Step 3: Subtract 5 from both sides.
−x+5−5=8−5
−x=3
Step 4: Divide both sides by -1.
−x
−1
=
3
−1
x=−3
Answer:
x=−3
which graph shows a system of equations with infinitley many solutions
Answer:
where are the equation I don't see them
Kris bought a 6 pack of water bottles for $4.79. Find the unit rate to the nearest cent.
Step-by-step explanation:
Kris bought a 6 pack water for =4.79$
So,
1 unit of water bottle =[tex]\tt{\dfrac{4.79}{6}=0.798333....=0.80\$ }[/tex] ⠀
Matteo is following this recipe to make a cake.
He wants to make four of these cakes.
How much of each ingredient does he need?
Recipe: Makes 1 cake
3 ounces butter
4 ounces sugar
5 ounces of flour
2 eggs
1 teaspoon (tsp) baking powder
Answer:
12 ounces butter
16 ounces sugar
20 ounces flour
8 eggs
4 teaspoons baking powder
Step-by-step explanation:
just times everything individually by 4
i will mark brainliest to whoever shows their work
Answer: -280000
Step-by-step explanation: Remove parentheses: (a)=a =12x10 4 - 4x10 5
12x10 4 = 120000
4x10 5=400000
=120000-400000
then subtract the numbers:120000-400000= -280000
A fence surrounds two sides of the
backyard. The total length of the fence is 86
feet, with the longest portion measuring 51.5
feet. What is the length of the second side of
the fence?
Answer:34.5
Step-by-step explanation:
86-51.5= 34.5
A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.6 cents. For each day the first 10 kWh cost 4.59 cents per kWh and any additional kWhs are 9.71 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.)
Complete the following table using the information provided above.
KWh 0 5 10 15 20
cost(dolllar)
KWh 25 30 35 40
cost(dolllar)
Answer:
Table of charges:
KWh 0 5 10 15 20
Basic charge (cents) 11.60 11.60 11.60 11.60 11.60
Charge for first 10 kWh (4.59cents) 0 22.95 45.90 45.90 45.90
Additional usage above 10 kWh 0 0 0 48.55 97.10
(9.71 cents)
Total (cents) 11.60 34.55 57.50 106.05 154.60
cost (dollar) 0.12 0.35 0.58 1.06 1.55
KWh 25 30 35 40
Basic charge (cents) 11.60 11.60 11.60 11.60
Charge for first 10 kWh (4.59cents) 45.90 45.90 45.90 45.90
Additional usage above 10 kWh 145.65 194.20 242.75 291.30
(9.71 cents)
Total (cents) 203.15 251.70 300.25 348.80
cost (dollar) 2.03 2.52 3.00 3.49
Step-by-step explanation:
a) Data:
Basic charge = 11.6 cents (0.116)
Charge for the first 10 kWh = 4.59 cents (0.0459)
Charge for additional usage above 10 kWh = 9.71 cents (0.0971)
b) Each kWh consumed or not attracts the basic charge of 11.6 cents. The first 10 kWh consumed is billed at 4.59 cents, while the additional kWh consumed is charged at 9.71 cents. The charge per consumption is first totaled in cents before being converted to dollars by dividing by 100.
This will be so helpful right now thank
Answer:
55 ft.
Step-by-step explanation:
First find the area of Lot X
67 • 70 = 4,690
Subtract the are of Lot X from the total area
8,375 - 4,690 = 3,685
3,685 is the area of Lot Y
Now divide 3,685 by the length of Lot Y : 67
3,685 ÷ 67 = 55
The width of Lot Y is 55 ft.
Hope this helps!
A koala weighs 20 pounds. In her pouch, she carries her joey that weighs 20 ounces. What is the combined weight of the adult koala and her joey in ounces? (HELP FAST)
Answer:
kjgfdhsxfcgmnhmj,kouiyf
Step-by-step explanation:ugytfguilhyuyrtdyrjcgvh
Answer:
340 oz
Step-by-step explanation:
20 lb = 320 ounces
320 oz + 20 oz = 340 oz
Giving thanks, brainliest, or rating would be appreciated!
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account.
Answer: $7,605
Step-by-step explanation:
At the end of 1 years, the amount in the account will be:
= Principal * (1 + rate)^ no. of periods
= 6,500 * (1 + 17%)
= $7,605
Which of the following proportions is true?
12 pizzas
18 people
9 pizzas
24 people
24 pizzas
48 people,
8. pizzas
20 people
20 pizzas
60 people
36 pizzas
96 people
48 pizzas
24 people
48 pizzas
60 people
Alyssa collects coins. ¾ of her coins are quarters, ⅔ of the remaining coins are dimes. The rest were nickels. There were 12 nickels. How many coins were in Alyssa’s collection?
Answer:
144 coins counting the nickels 132 not counting the nickels
Step-by-step explanation:
What is the volume of the rectangular pyramid shown belown?
9514 1404 393
Answer:
168 cubic inches
Step-by-step explanation:
The formula for the volume of a pyramid is ...
V = (1/3)Bh
where B is the area of the base, and h is the height.
The base is a rectangle, whose are is given by the formula ...
A = LW
A = (8 in)(7 in) = 56 in²
Then the pyramid volume is ...
V = (1/3)(56 in²)(9 in) = 168 in³
The volume of the pyramid is 168 cubic inches.
What is the slope of the line
Answer:
B.
Step-by-step explanation: Because when you count them down to 3/5 It's more in the negative.
please help will give u brainliest pls help me
Answer:
19
Step-by-step explanation:
1/2*(5+x)*4=48
Melissa rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 12.
Answer:
1/36
Step-by-step explanation:
(6,6) is the only possible outcome of getting a total of 12
PLZ HELP ANSWER!!!!!
Answer:
Step-by-step explanation:
so, i might be wrong but i hope this helps.
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2
Answer:
y = 1/2x + 1
Step-by-step explanation:
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
Please answer test!
Are these shapes similar?
17/15 - 4/5 please answer
Answer:
1/3
Step-by-step explanation:
17/15-4/5
17/15-4*3/5*3
17/15-12/15
17-12/15
5/15
1/3
The equivalent value of the fraction is A = 1/3
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p
Let the second fraction be q
Now , A = p - q
when the value of p = 17/15
And , when the value of q = 4/5
On simplifying the equation , we get
A = 17/15 - 4/5
So , the left hand side of the equation is equated to the right hand side by the value of ( 17/15 - 4/5 )
A = ( 17/15 - 4/5 )
Taking the LCM of the denominators of the fraction , we get
A = ( 17 - 12 ) / 15
On simplifying , we get
A = 5/15
A = 1/3
Therefore , the value of A = 1/3
Hence , the fraction is A = 1/3
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HELP! whoever gets it right gets brainliest!!
Answer:
2
Step-by-step explanation:
Which expression has the same value as the sum of 45 and 25?
14+10
5(9+5)
9(5+5)
5(8) +5(5)
If 1 inch on a map represents 20 miles, what is the mileage represented by 2.5 inches?
A 40 miles
B 10 miles
C 45 miles
D 50 miles
Answer:
50 miles(D)
Step-by-step explanation:
20 x 2.5
Please help with this
Answer: 86
Step-by-step explanation:
Answer:
86
Step-by-step explanation:
I did this before I think it was 86 not sure
A closed-top cylindrical container is to have a volume of 250 in2. 250 , in squared , . What dimensions (radius and height) will minimize the surface area?
Answer:
radius r = 3.414 in
height h = 6.8275 in
Step-by-step explanation:
From the information given:
The volume V of a closed cylindrical container with its surface area can be expressed as follows:
[tex]V = \pi r^2 h[/tex]
[tex]S = 2 \pi rh + 2 \pi r^2[/tex]
Given that Volume V = 250 in²
Then;
[tex]\pi r^2h = 250 \\ \\ h = \dfrac{250}{\pi r^2}[/tex]
We also know that the cylinder contains top and bottom circle and the area is equal to πr²,
Hence, if we incorporate these areas in the total area of the cylinder.
Then;
[tex]S = 2\pi r h + 2 \pi r ^2[/tex]
[tex]S = 2\pi r (\dfrac{250}{\pi r^2}) + 2 \pi r ^2[/tex]
[tex]S = \dfrac{500}{r} + 2 \pi r ^2[/tex]
To find the minimum by determining the radius at which the surface by using the first-order derivative.
[tex]S' = 0[/tex]
[tex]- \dfrac{500}{r^2} + 4 \pi r = 0[/tex]
[tex]r^3 = \dfrac{500 }{4 \pi}[/tex]
[tex]r^3 = 39.789[/tex]
[tex]r =\sqrt[3]{39.789}[/tex]
r = 3.414 in
Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:
[tex]S'' = - \dfrac{500(-2)}{r^3}+ 4 \pi[/tex]
[tex]S'' = \dfrac{1000}{r^3}+ 4 \pi[/tex]
Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.
Thus, from [tex]h = \dfrac{250}{\pi r^2}[/tex]
[tex]h = \dfrac{250}{\pi (3.414) ^2}[/tex]
h = 6.8275 in
Which statement is true about the numbers marked on this horizontal number line?
A.
0.25 -0.25
C.
-0.25 = 0.25
D.
-0.25 > 0.25
Answer:
B!
Step-by-step explanation:
The answer is B. id.k how to explain tho.
The cost of an Internet service subscription varies directly with the length of the subscription. A 3 month subscription costs $32.85. How much does a 12 month subscription cost?
Answer:
the answer is 131.4
Step-by-step explanation:
32.85/3= 10.95
10.95×12= 131.4
It’s a picture^^^^^^^^
Answer: F
Step-by-step explanation: 5+6+7x8=67