Answer:
17/15
Step-by-step explanation:
A triangle has angle measures x + 15 , 3x − 35 , and 4x. Find the value of x
Using the knowledge of the total sum of the internal angles of a triangle, the value of x would be 25
Recall :
A + B + C = 180° (Sum of the internal angles of a triangle)Hence,
(x + 15) + (3x - 35) + 4x = 180
x + 15 + 3x - 35 + 4x = 180
8x - 20 = 180
8x = 180 + 20
8x = 200
x = 200 / 8
x = 25°
Therefore, the value of x is 25
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Graph the line y = 2x + 3
Answer:
Step-by-step explanation:
It takes 12 cup of lemon juice to make a glass of lemonade. You have 4 cups of lemon juice. How many glasses of lemonade can you make?
Answer:
you can make 1/3 glass of lemonade but if you are saying it without fractions its zero
Step-by-step explanation:
4 times 3 is 12 so if you just have 4 cups than thats 1/3 of a cup
The ratio of the number of marbles in the red bag to the number in the blue bag is 3 : 5
Two marbles are moved from the blue bag to the red bag, making the ratio 7 : 9.
How many marbles are there in total?
answer: 16
step by step explanation:
The total number of marbles = 32 marbles.
We have ratio of the number of marbles in the red bag to the number in the blue bag is 3 : 5. After that, two marbles are moved from the blue bag to the red bag, making the ratio 7 : 9.
We have to find out how many marbles are there in total.
Is the ratio a:b equal to [tex]\frac{a}{b}[/tex].Yes, a:b equals to [tex]\frac{a}{b}[/tex] - where ' a ' is called Antecedent and ' b ' is called Consequent.
Let the total number of marbles be x.
Let the number of marbles in the red bag be ' x ' and in blue bag ' y '.
According to question -
[tex]\frac{x}{y} =\frac{3}{5}[/tex]
5x = 3y
x = [tex]\frac{3y}{5}[/tex]
After the two marbles are moved from blue bag are moved into the red bag, then -
[tex]\frac{x+2}{y-2} =\frac{7}{9}[/tex]
9(x + 2) = 7(y - 2)
9x + 18 = 7y - 14
9x - 7y = -32
9 ([tex]\frac{3y}{5}[/tex]) - 7y = -32
[tex]\frac{27y}{5} - 7y =-32[/tex]
[tex]\frac{-8y}{5}=-32[/tex]
-8y = -32 x 5
y = 4 x 5
y = 20
Therefore -
x = [tex]\frac{3\times20}{5}[/tex] = 12
Hence, the total number of marbles = x + y = 20 + 12 = 32 marbles.
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Question 3
2 pts
Explain how you used the model in Question 2 to find the product for 0.3 x 2.7.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
Equation:
y=-16x^2+267x+107
Answer:
The rocket will reach the maximum height after 8.34 seconds.
Step-by-step explanation:
We need to take the derivative of the function and set it to 0.
[tex]y' = -32x + 267 = 0\\32x = 267\\x = 8.34[/tex]
The maximum height of the rocket at x = 8.34375 will be 1,220.89.
What are the maxima and minima of a function?For the maximum value of the function if f''(x) < 0 and for the minimum value of the function if f''(x) > 0.
The maximum and minimum value of the function is at f'(x) = 0.
A rocket is sent off from a pinnacle. The level of the rocket, y in feet, is connected with the time after send-off, x like a flash, by the given condition.
The equation is given below.
y = -16x² + 267x + 107
Differentiate the function and put it zero to get the value of time that is 'x' will be given as,
y' = 0
(d/dx)(-16x² + 267x + 107) = 0
-32x + 267 = 0
32x = 267
x = 8.34375
Then the maximum height of the rocket at x = 8.34375 will be given as,
y = -16(8.34375)² + 267(8.34375) + 107
y = -1,113.89 + 2,227.78 + 107
y = 1,220.89
The maximum height of the rocket at x = 8.34375 will be 1,220.89.
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1600 ÷ 4 equals 400 which number is the divisor
For each graph, choose the function that best describes it.
Answer:
Step-by-step explanation:
a). This graph represents a function with square root of x,
f(x) = [tex]\sqrt{x}[/tex]
b). This graph represents the reciprocal squared function with asymptotes as,
Vertical asymptote x = 0
Horizontal asymptote y = 0
f(x) = [tex]\frac{1}{x^2}[/tex]
c). This graph represents a linear function (Straight line),
f(x) = x
d). This graph represents the cubic function,
f(x) = x³
Answer:
Step-by-step explanation:
1 x square rooted
2 1/x^2
3 x
4 x^2
Which equation is graphed below?
y= -3/x
y= 2/x
y= -2^x
y= 3^x
Answer:
y= -3/x
Step-by-step explanation:
Put -2 1/2 and -3.25 in order from least to greatest. You can use the number line to help.
Answer:
-3.25 then -2 1/2
Step-by-step explanation:
the greater the number in the negative side the less the amount
Directions: if l || m solve for x and y
Answer:
x = 24
y = 15
Step-by-step explanation:
Since, angles (3x - 29)° and (6x - 7)° is a pair of consecutive exterior angles,
Therefore, (3x - 29)° + (6x - 7)° = 180°
9x - 36 = 180
9x = 180 + 36
x = [tex]\frac{216}{9}[/tex]
x = 24
Therefore, (3x - 29)° = 3(24) - 29
= 43°
Since, angles (3x - 29) and (8y + 17) is a linear pair.
(3x - 29)° + (8y + 17)° = 180°
43° + (8y + 17)° = 180°
8y + 60 = 180
8y = 120
y = 15
Therefore, x = 24 and y = 15 will be the answer.
I need help ASAP, please help me
Write the sine function with the listed attributes. amplitude: 2/3 period: 3pi phase shift: -2pi / 3 vertical shift: -2
Answer:
f(t)=(2)/(3)*\cos (4t-3\pi )
Step-by-step explanation:
Because :D
Answer:
f(t) = 2/3 sin (1/3t - 2pi/3) - 2
Step-by-step explanation:
A printer is printing photos. For every 6 photos, the printer takes 2 minutes.
Complete the table below showing the number of photos and the time it takes to print them.
Answer:
Next to 6 is 9, next to 15 is 27, and next to 3 is 5
Step-by-step explanation:
If you imagine 6 photos for every 2 minutes as a fraction and simplify it, the answer to this would be 3 photos for every 1 minute (basically 3/1). By using this unit fraction, you'll see that you're supposed multiply the amount of minutes by 3, or you can divide the # of photos by 3.
For 3 mins, you multiply that by 3 to get 9 photos.
For 9 mins, you multiply that by 3 to get 27 photos
For 15 photos, you divide that by 3 to get 5 photos.
Ok, have a Spooky Halloween!
What is the relationship between the slopes of two parallel lines?
Answer:In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.
Step-by-step explanation:
The slopes of two parallel lines are always equal.
How to find the slope of a line?The slope of a line can be calculated by taking the tangent ratio of the angle formed by it with the x axis.
The angle between two parallel lines is zero.
It implies that they form same angle with the x-axis.
Since, the slope of a line is define as the tangent of the angle made by it with x axis.
The slopes of the parallel lines will be equal.
Suppose the slopes of two parallel lines are m₁ and m₂.
Then, it can be written as m₁ = m₂.
Hence, the relationship between the slopes of two parallel lines can be written as m₁ = m₂.
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7t-13-2t=9+5t
solve for t
Answer:t=t
Step-by-step explanation:
rn, fr
Answer:
No Solution
Step-by-step explanation:
7t - 13 - 2t = 9 + 5t
~Combine like terms
5t - 13 = 9 + 5t
~Add 13 to both sides
5t = 24 + 5t
~Subtract 5t to both sides
0 = 24
Best of Luck!
23x−15x=x−1 does anybody wanna help I'm so confused???
Step-by-step explanation:
23x - 15x = x - 1. 23 minus 15 equals 8
8x = x - 1. subtract x on both sides
-x. -x
7x = -1. divide 7 on both sides
7. 7
x = -1/7
A brick becomes dislodged from the top of the Empire State Building (at a height of 1250 feet) and falls to the sidewalk below. What is the position formula?
Answer:
Position s(t) = -16t² + 1250 ft
Step-by-step explanation:
Given that:
initial height h₀ = 1250 feet
and suppose the position function is given as:
-16t² + v₀t + h₀
here;
v₀ = initial velocity
t = time
Thus, the position formula can be expressed as:
Position s(t) = -16t² + 1250 ft because v₀ = 0 ft/s and h₀ = 1250 feet
-1/4d - 2/5d =39 solve for d
Answer:
-0,15
Step-by-step explanation:
I think that's it, I'll give an explanation in the comments in a sec
What is the original slope and what is the perpendicular slope?
Answer:
green line:
rise= -6
run= 3
rise/run = slope
therofore the slope = -6/3 = -2
blue line:
rise=3
run=6
rise/run = slope
therofore the slope = 3/6 = 1/2
Answer:
- 2 and [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (0, - 1) ← 2 points on the green line
m = [tex]\frac{-1-5}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
Repeat with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (6, 0) ← 2 points on the blue line
m = [tex]\frac{0+3}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
Since the product of the slopes = - 2 × [tex]\frac{1}{2}[/tex] = - 1
Then the lines are perpendicular
Assignment Active Describing Domain and Range How would the domain and range of the function 1 y = -x - 6 be determined? Explain. 4
Answer:
y = 1x - 6
Step-by-step explanation:
You need to divide each number or variable by the y value(1).
how do I solve the ratio of somthin
Danielle wants to tip 15% on her restaurant bill. the total she pays with the 15% tip is $94.30. What is her restaurant bill?
Answer:
$80.15
Step-by-step explanation:
.15 x 94.3=14.145(round up)
94.3-14.15=80.15
ANSWER
rounded 80.16$
Step-by-step explanation:
I did 1.00-.15 to get .85
the did .85 times 94.30 to get 80.155 but since its money were talking about its 80.16$
help me please i want to know how to get the answer
Answer:
just guess
Step-by-step explanation:
HURRY!! Which set of ordered pairs represents a function?
A. (-1, 4), (2, 4), (8, 4), (10,4)}
B. {0, -2), (3,7), (0, 2), (18,2)
C. f(-1,3), (-1, -1), (-1, -12), (-1,0)}
D. {(1, 2), (2, 3), (3, 4), (3,5)}
Answer:
A
Step-by-step explanation:
A function cannot have 2 points on the same x point, and so every coordinate on A's set is different (-1, 2, 8, 10)
Could someone help me please
Answer:
c
Step-by-step explanation:
took the test
D
2x – 3
× x + 4
2x × x = 2x²
-3 × 4 = -12
Mike and ike are working on the following problem imagine that a cell splits itself into two cells every 24 hours how many cells will there be after 5 days
HELP TIMED
Write as an expression: the square of the sum of x and 1
Write as an expression: the square of the difference of m and n
Answer:
(x+1)²
(m-n)²
Step-by-step explanation:
How do you factor 1x^2+9x+2
Answer:
not factorable
Step-by-step explanation:
To factor a trinomial of the type x^2 + ax + b, you need to find two numbers that add to a and multiply to b.
You have 1x^2 + 9x + 2.
In this case, a = 9 and b = 2.
There are no two integers whose sum is 9 and whose product is 2, so this trinomial is not factorable.
what is q+t????????
Answer:
q+t=0
Step-by-step explanation:
Step-by-step explanation:
it said on Google