Answer:
t = 44.73 s
Step-by-step explanation:
Given that,
The speed of a sound wave, v = 100 mph = 44.704 m/s
We need to find the time taken by the shockwave to reach 2 km i.e. 2000 m
We know that,
Speed = distance/time
So,
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{2000}{44.704}\\\\t=44.73\ s[/tex]
So, it will take 44.73 seconds to reach 2 km.
Suppose you are buying orange juice and you want to find the best deal. You find four different brands that offer various sizes that include 6 oz for $1.25, 8 oz for $1.33, 12 oz for $1.50 and 16 oz for $2.10. Which orange juice is the better buy?
Answer: 3rd brand.
Step-by-step explanation:
1st brand:
6 oz cost $1.25
The amount per ounce will be:
= $1.25/6
= $0.21
2nd brand:
8 oz cost $1.33
The amount per ounce will be:
= $1.33/8
= $0.17
3rd brand:
12 oz cost $1.50
The amount per ounce will be:
= $1.50/12
= $0.125
4th brand:
16 oz cost $2.10
The amount per ounce will be:
= $2.10/16
= $0.13
From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.
Elena notices that when she spends less time on social media the night before a quiz she gets a higher test score. Before one quiz she spent 107 minutes on social media and earned 37 points on a quiz.!before another quiz she spent 73 minutes on social media and scored 41 points. Write a function to model a linear relationship between elenas social media usage in minutes and her quiz scores assuming that the total number of points on each quiz remains a constant?
Step-by-step explanation:
CCC and I have a very different view on the situation than the one I have been using for me since 6AM when you have been in the same situation for me and my
The equation that represents the total score points will be y = - (4/34)x + 49.58.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\\[/tex]
The two points are (107, 37) and (73, 41).
Let 'x' be the number of minutes and 'y' be the total score. Then the equation is given as,
(y - 41) = [(41 - 37) / (73 - 107)](x - 73)
y - 41 = - (4/34)(x - 73)
y = - (4/34)x + 49.58
The equation that represents the total score points will be y = - (4/34)x + 49.58.
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Does anyone know the answers? :)
Q2:
Answer=170.8 sq.ft
(b) In a lab, a substance was heated by 6 °C each hour for 48 hours. What was the total change
in temperature?
Х
Answer:
288 degrees celcius
Step-by-step explanation:
48 x 6 is 288
Answer:
The total change in temperature was 288* degrees.
Step-by-step explanation:
6 x 48 = 288
A can contains 24 fluid ounces of fruit juice. How many pints of fruit juice does the can contain.
A.12pt
B.3pt
C.1 1/2
D.1/3
Answer:
Step-by-step explanation:
C
1 pint = 16 ounces
n ΔSTU, u = 720 inches, t = 630 inches and ∠T=7°. Find all possible values of ∠U, to the nearest degree.
DELTA MATH!!!!!!
Answer: 8
∘
and 172
∘
A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A)
what is angle ?A geometric shape known as an angle is created when two rays or line segments come together to form its vertex. The two rays or line segments are known as the angle's sides. Angles are used to describe the orientation, direction, and position of lines and forms in geometry. They are commonly measured in degrees or radians. The magnitude of an angle can range from 0 degrees (representing no rotation) to 360 degrees depending on how much the two sides or rays are rotating (corresponding to a full rotation).
given
We may utilise the Law of Cosines to determine the potential values of U:
A2 + B2 - 2ab cos = c2 (C)
where a and b are the lengths of the other two sides, and c is the length of the side that faces angle C. We'll write c for the length of side SU and a for the length of side ST.
Based on the facts provided, we can:
a=630 inches
b = u (unknown) (unknown)
C = ∠T = 7°
We can apply the Law of Sines to determine the length of b:
B = a / sin = b / sin(B) (A)
where A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A) .
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Select all the expressions that are equivalent to
310
3
–
5
.
Answer:
I don´t know how to help
Step-by-step explanation:
There are no choices
A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people. The length of each block is the same and the length of 20 blocks is 1 mile.
The question is incomplete. The complete question is :
A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people. The length of each block is the same and the length of 20 blocks is 1 mile.
a). What is the area in square miles of Orchard Hill?
b). What is the population density of the Orchard Hill Neighborhood, given as a number of people per square mile?
Solution :
It is given that :
The total population of Orchid Hill Neighborhood is = 360
The length of 20 blocks = 1 mile
So, 20 blocks = 1 mile
∴ [tex]$1 \text{ block} = \frac{1}{20} \text{ mile} $[/tex]
= 0.05 mile
So the length of the neighborhood is = 4 x 0.05
= 0.20 mile
The width of the neighborhood is = 3 x 0.05
= 0.15 mile
a). Therefore, the area of the Orchid Hill Neighborhood in square miles is
A = length x width
= 0.20 x 0.15
= 0.03 square miles
b). Population density is defined as the number of people living in an unit area.
i.e. [tex]$\frac{360}{0.03}$[/tex]
= 12,000 people per square mile
What is an equation of the line that passes through the points (-1,3) and
(-1, 6)?
Answer:
x=-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-3)/(-1-(-1))
m=3/(-1+1)
m=3/0
slope is undefined.
x=-1
more slope pls helpppppp
Explanation:
Recall that the general point-slope form is [tex]y - y_1 = m(x - x_1)[/tex] where m is the slope and [tex](x_1, y_1)[/tex] is the point the line goes through. We see that the 2 and the m match up, so m = 2 is the slope.
Side note: We can rewrite that given equation into y - (-5) = 2(x - (-1)) to see that the line goes through the point (-1, -5)
Answer:
C: 2
Step-by-step explanation:
y + 5 = 2x + 2 (distribute 2)
y = 2x -3 (subtract 5 from both sides)
2x means: slope times x
Make A the subject of the formula
r=√A/3
Answer:
A = 9r^2
Step-by-step explanation:
r=√A/3
multiply both sides by 3
3r = √A
Square both sides
3^2 * r^2 = A
9r^2 = A
NEED HELP
Work out the value of 4y+3x when x=5 and y=-3
Thanks
Hey there!
“4y + 3x”
If x = 5 and y = -3, then substitute it into the equation
4(-3) + 3(5)
4(-3) = -12
-12 + 3(5)
3(5) = 15
-12 + 15
= 3
Answer: 3
Good luck on your assignment and enjoy your day!
~Amphitrite140:)
A bicycle store costs $2450 per month to operate. The store pays an average of $75 per bike. The average selling price of each bicycle is $145. How many
bicycles must the store sell each month to break even?
The store must sell bicycles each month to break even
Answer:
35
Step-by-step explanation:
Breakeven quantity are the number of units produced and sold at which net income is zero
Breakeven quantity = fixed cost / price – variable cost per unit
Fixed costs are costs that do not vary with output. e,g, rent, mortgage payments
If production is zero or if production is a million, Mortgage payments do not change - it remains the same no matter the level of output.
Hourly wage costs and payments for production inputs are variable costs
Variable costs are costs that vary with production
fixed cost = $2450
Variable cost = $75
price = $145
(2450) / (145 - 75) = 35
The sum of 3 and 5, divided by 4 I’m giving brainly :ppppp
Answer: 2
Step-by-step explanation:
3 + 5= 8
8 divided by 4= 2
If 5x + y = 20 and 10x - 2y = 50 are two linear equations in two variables. Find the value of x and y.
x = 1, y = 1
x = 2, y = 1/2
x = 9/2, y = -5/2
x = 1, y = 5/2
Answer:
x = 9/2, y = -5/2
Step-by-step explanation:
5x + y = 20
10x - 2y = 50
There's multiple ways to do this, but I will solve using substitution.
Isolate variable y on the first equation.
5x + y = 20
y = 20 - 5x
Substitute the value of y for 20 - 5x in the second equation.
10x - 2(20 - 5x) = 50
Use distributive property:
10x - 40 + 10x = 50
Combine like terms:
20x - 40 = 50
20x = 90
x = 90/20
x = 9/2
Substitute x for 9/2 and solve for y:
y = 20 - 5(9/2)
y = 20 - 45/2
y = 40/2 - 45/2
y = -5/2
Answer:
x =9/2, y = -5/2
Step-by-step explanation:
5(9/2) + -(5/2)= 20
45/2 + -5/2 = 20
40/2 = 20
10(9/2) - 2(-5/2) = 50
90/2 + 10/2 = 50
45 + 5 = 50
HELPPP ME PLSSSSSSSSSS PEOPLEE I NEED HELP QUICKKK What is y + 1 = 4(x - 1) in slope-intercept form?
Answer:
C) y=4x-5
Step-by-step explanation:
What is the length of the missing side of the triangle below? (round to the nearest tenth)
Answer:
10.3
Step-by-step explanation:
Use the pythagorean theorem.
3.9^2 + x^2 = 11^2
x^2 = 105.79
x = 10.3
Point M is the midpoint of CD¯¯¯¯¯¯¯¯. C has coordinates of (-1, 1) and D has coordinates of (5,-5). What are the coordinates of point M?
Answer:
The answer is (2,-2)
Can you help me please? I'll mark brainiest
Answer: I’m pretty sure the answer is d
Step-by-step explanation:
How do I make the graph or if anyone makes the graph for me WILL GET BRAINLIEST.
SYSTEMS OF EQUATIONS)
Answer:
Part A
The required inequality is;
y = 50 - 2 × x ≥ 20
Please find attached the graph of the inequality created with Microsoft Excel
Part B
The number of weeks she can withdraw is less than or equal to 15 weeks
Step-by-step explanation:
The given parameters are;
The amount Kate has in her savings account at the beginning of the summer = $50
The least amount she wants to have in the account at the end of the summer = $20
The amount she withdraws each weak from the account = $2
Part A
Let 'x' represent the number of weeks she can withdraw money, we have;
The required inequality that gives the number of weeks she can withdraw money is given as follows
y = 50 - 2 × x
y ≥ 20
Therefore, the inequality is;
y = 50 - 2 × x ≥ 20
The graph of the inequality created with Microsoft Excel is attached
Part B
The number of 'x' weeks she can withdraw is;
50 - 2 × x ≥ 20
- 2 × x ≥ 20 - 50 = -30
x ≤ -30/(-2) = 15
The number of weeks she can withdraw is x ≤ 15 weeks.
please help i’m so confused LMC of 9, 12 and 24
Answer:
The LCM of 9, 12, and 24, is 72.
Step-by-step explanation:
To find the answer you must figure out the factors of each number, and see which factor has the same number.
Factors of 9: Factors of 12: Factors of 24:
9 12 24
18 24 48
27 36 72
36 48
45 60
54 72
63
72
When we look at all these factors, none of them have the same number except 72. Since all of these factors have 72 in them, this is the LCM of 9, 12, and 24.
Answer:
72
Step-by-step explanation:
9x8 = 72
12x6=72
24x3=72
–4x + 6x2 + 5x
A. 7x3
B. 6x2 + 9x
C. 6x2 – 9x
D. 6x2 + x
Answer:
D
Step-by-step explanation:
Because you are simplifying the equation
helpppp plsssssssssssssssssssss quick
Josh drops his phone from a height of 50 feet. The situation is best modeled by h = -16t^2 +50, where h is the height in feet and t is the time in seconds. How long will it take for the phone to hit the ground? Round to the nearest tenth.
It will take approximately 1.8 seconds for the phone to hit the ground.
What is meant by an Equation?A mathematical statement which includes two sides, namely, left and right hand side consisting of numbers or variables, which are connected by an "equal to" sign is called an equation.
Given in the question that,
Equation representing the situation of the height of the phone in t seconds, is,
h = -16t² + 50
where h is the height in feet and t is the time in seconds.
The phone hits the ground means that the height is 0 there.
Substituting h = 0,
-16t² + 50 = 0
-16t² = -50
t² = 50 / 16
t² = 3.125
t = 1.767 ≈ 1.8 seconds
Hence the time taken is 1.8 seconds to the nearest tenth.
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help please 5th grade math
Answer:
Stanley needs 31 feet and 2 inches of fencing.
Step-by-step explanation:
In order to answer this problem, you need to find the perimeter of the dog run.
Since: [tex]P=2(l+w)[/tex]
and [tex]l=149[/tex] inches & [tex]w=56[/tex] inches
Plug in what we know :
[tex]P=2(149+56)[/tex]
and solve:
[tex]P=410[/tex] inches
The dog run has a perimeter of 410 inches.
However, now we need to subtract 36 inches since the gate doesn't need fencing.
[tex]410-36=374[/tex] inches.
The dog run needs 374 inches of fencing.
In order to find out how many feet of fencing that is, divide it by 12.
[tex]\frac{374}{12}[/tex] = 31.16666667 OR [tex]31\frac{2}{12}[/tex], meaning 31 feet and 2 inches.
Answer:
31 feet and 2 inches of fencing :))<3
Step-by-step explanation:
Determine the combined surface area of a cube with an edge that is 3.5 cm long and a cube with an edge that is 2 cm long.
Answer:
97.5
Step-by-step explanation:
3.5cm cube surface area:
3.5*3.5*6 (the 6 faces of the cube) =
73.5
2cm cube surface area:
2*2*6 =
24
combined surface area:
73.5+24=
97.5
Use the function rule f(x) = 2x + . Find each output. f(0), f(-2), f(2), f(10), f(-16.7)
Answer:
The function rule is f(x)=2x+3. It cut the three out.
Step-by-step explanation: cut the three out
Which expression is equivalent to (a^2b^4c)^2(6a^3b)(2c^5)^3/4a^6b^12c^3
1) 3ac^7/b^5
2) 9ac^14/b^3
3) 12ac^14/b^3
4) 9ac^7/b^5
Answer:
its c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
First of all we can simplify the the first therm because a property of power says that we can simplify a power of power by multiply the exponents
a^4b^8c^2
For the same property 2c^5 becomes 8c^15
now we have
(a^4b^8c^2)(6a^3b)(8c^15)/4a^6b^12c^3
if we simplify the numbers we can obtain
(a^4b^8c^2)(6a^3b)(2c^15)/a^6b^12c^3
If we simplify the parameters we can obtain
12ac^14/b^3
Help please!!! I don't understand this so if you do can you write the explanation you don't have to but thank you anyways
Answer:
ITS 5 UNITS I LEARNED ITS EZ
Step-by-step explanation:
Matt earns $5 for each lawn he does. He wants to earn at least $100. Which inequality represents his situation?
Answer:
$100 is less than or equal to x