Answer:
Step-by-step explanation:
y-2=6x+6
y=6x+8
For what values of x is the equation true? (Form 1st!)
x^2-4x=32
Answer:
It can be solved in many forms
one by replacing each point to see which one satisfy the equation or by using quadratic formula
so the right answer is the fourth one
A plant is already 53 centimeters tall, and it will grow 1 cm every month.
Let H be the plants height (in centimeters) after M months.
Write an equation relating H to M. Then use this equation to find the plant height after 26 months.
Equation: h = 53 + 1m
Solving for m = 26: h = 79
The plant will be 79cm tall after 26 months
The height of the plant, H, is related to the number of months, M, by the equation H = M + 53. The plant will be 79 centimeters tall after 26 months.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The height of the plant, H, is related to the number of months, M, by the equation H = M + 53.
This equation represents the plant's initial height of 53 centimeters plus the additional height it will grow each month.
To find the plant's height after 26 months, we can substitute M = 26 into the equation:
H = M + 53
H = 26 + 53
H = 79 cm
So, the plant will be 79 centimeters tall after 26 months.
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Amaya ran for president of chess club, and she received 18 by this. There were 30 members in the club. What percentage of the club members voted for Mýa HELP PLEASE
i wonder if this is a good thing
Answer:
its a good thing but the warnings u may get banned
Find the slope of the line
y = –3/8x − 6/5
Answer:
-3/8
Step-by-step explanation:
This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!
What is the slope of the line that passes through the point (8, - 4) and (6, 2) ? Write your answer in simplest form.
Answer:
y= -3x + 20
Step-by-step explanation:
just graph it out
What number goes in the box to show the
distributive property?
3(2 + 8) = 3 x 2 + X 8
6
2
B
8
Answer:
3 because 3 x 2 + 3 x 8 = 30 and 3(2+8)=30
Corrupted by their power, the judges running the popular game show America’s Next Top Mathematician have been taking bribes from many of the contestants. During each of two episodes, a given contestant is either allowed to stay on the show or is kicked off. If the contestant has been bribing the judges, she will be allowed to stay with probability 1. If the contestant has not been bribing the judges, she will be allowed to stay with probability 1/3, independent of what happens in earlier episodes. Suppose that 1/4 of the contestants have been bribing the judges. The same contestants bribe the judges in both rounds. (a) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she was bribing the judges? (b) If you pick a random contestant, what is the probability that she is allowed to stay during both episodes? (c) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she ge
Answer:
(a) The probability that a contestant allowed to stay in the first episode is 0.5
(b) The probability that a contestant will be allowed to stay during both is 0.25
Step-by-step explanation:
The given parameters are;
The probability that a contestant who has been bribing the judges will be allowed to stay = 1
The probability that a contestant who has mot been bribing the judges will be allowed to stay = 1/3
The proportion of the contestant that has been bribing the judges = 1/4
The contestant who bribe the judges in the first round = The contestants who bribe the judges in the second round
(a) Let the total number of contestants = x
Therefore;
The number of contestants in the second round = x/4 + 1/3×(x - x/4) = x/2
Which gives that, half of the contestants make it to the second round
The probability that a contestant allowed to stay in the first episode, Pₐ₁, is given as follows;
Probability = (The number of required outcome)/(The number of possible outcome)
∴ Pₐ₁ = (x/4)/(x/2) = 2/4 = 1/2 = 0.5
The probability that a contestant allowed to stay in the first episode = 0.5
(b) The probability that a contestant will be allowed to stay during both episode, Pₐ₁₂ is given as follows;
The number of contestant that will be allowed to stay after each episode = 1/2×(The number contestant in the previous episode)
Therefore;
The number of contestant that will be allowed to stay after the first episode = 1/2 × x = x/2
The number of contestant that will be allowed to stay after the second episode = 1/2 × x/2 = x/4
Therefore, the number of contestant that will be allowed to stay after both episode = x/4
Pₐ₁₂ = (The number of contestant that will be allowed to stay after both episode)/(The total number of contestants)
∴ Pₐ₁₂ = (x/4)/x = 1/4 = 0.25
The probability that a contestant will be allowed to stay during both = 0.25.
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground
Answer:
a) The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].
b) The height of the arch from the ground is 810 feet.
Step-by-step explanation:
Statement is incomplete. Complete statement is:
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground.
Write an equation that represents the arch.
What is the height from the top of the arch to the ground?
a) Write an equation that represents the arch.
According to the statement, the archway is a vertical downward parabola. From Analytical Geometry we know that parabolas are represented by the following equation in standard form:
[tex]y-k = 4\cdot p\cdot (x-h)^{2}[/tex] (Eq. 1)
Where:
[tex]p[/tex] - Distance between vertex and focus, measured in feet.
[tex]x[/tex] - Independent variable, measured in feet.
[tex]y[/tex] - Dependent variable, measured in feet.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, measured in feet.
If we know that [tex]p = -2.5\,ft[/tex], [tex]h = 0\,ft[/tex] and [tex]k = 0\,ft[/tex], then the equation that represents the arch:
[tex]y = -10\cdot x^{2}[/tex]
The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].
b) What is the height from the top of the arch to the ground?
Given that parabola is a symmetrical curve, we determine the vertical position at the base of the arch ([tex]x = 9\,ft[/tex]):
[tex]y_{min} = -10\cdot (9\,ft)^{2}[/tex]
[tex]y_{min} = -810\,ft[/tex]
Then, the height of the arch from the ground is given by this difference:
[tex]h = 0\,ft-(-810\,ft)[/tex]
[tex]h = 810\,ft[/tex]
The height of the arch from the ground is 810 feet.
What is the slope of a line perpendicular to the line graphed below?
Answer:
-3
Step-by-step explanation:
Original slope: 1/3
Perpendicular slopes are the negative reciprocals of the original slope.
Solve:
2/3x +4 - 3/5 -2
Answer:
0.666667*x+4-3/5-2
HOPE I HELP!!!! :)
Stephen, Gavin and Jim share some sweets in the ratio 3:1:2. Stephen gets 24 sweets. How many sweets are there altogether?
Answer:
Step-by-step explanation:
Stephen : Gavin : Jim
3 : 1 : 2
We can say that this means the total amount of sweets get split between the 3 of them into 6 equal parts ( 3 + 1 + 2).
If Stephen gets 24 sweets, this means
3 parts = 24
So to find 1 part, divide 24 by 3.
1 part = 8 sweets
Now we can find the total by multiplying this by 6.
6 parts = 8 x 6 = 48 sweets.
What is the product of 1 1/2 and -1 1/4
Answer:
-1 7/8 is the answer to this
Answer:
The answer for the question above is -1 7/8.
1.) A ladder is leaning against the side so that the distance on the ground between
the base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?
Answer:
62.182°
Step-by-step explanation:
Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.
The angle at which the ladder is leaning is 62.18°.
What is trigonometry?Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.
For the given situation,
The length of the ladder = 15 feet
The distance between the house and the ladder base = 7 feet
The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.
we know that, [tex]cos[/tex] θ = [tex]\frac{Base}{Hypotenuse}[/tex]
The figure below shows the relationship between the sides.
⇒ [tex]cos[/tex] θ = [tex]\frac{7}{15}[/tex]
⇒ θ = [tex]cos^{-1}(\frac{7}{15} )[/tex]
⇒ θ = [tex]62.18[/tex]
Hence we can conclude that the angle at which the ladder is leaning is 62.18°.
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What is the coefficient in the expression; 21 + 3x
what is 1/5 divided by 3/10
Answer:
2/3
Step-by-step explanation:
When we divide two fractions, such as 1/5 ÷ 3/10, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
2. In the tournament, the Tigers scored 44,
56, and 47 points in the first three games.
If their four-game tournament average
score was 52 points, how much did they
score in their final game?
B. 55
C. 58
E. None of the above
Answer:
58
Step-by-step explanation:
The length of a rectangle is 4 times its width. Write three different expressions to describe its perimeter. Explain how you wrote each expression.
Answer:
2(4x+x)
Step-by-step explanation:
Elizabeth her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?
Help me please
Answer:
29.11
Step-by-step explanation:
Solve the proportion for n. 36/8 = n/4
Answer:
N = 18
Step-by-step explanation:
Answer:
18/4
Step-by-step explanation:
answer for these. this is not any kind of test.
Step-by-step explanation:
12) 42
13) 10.4
14)
a) 0.25
b) 0.39
15) 2.1
16) 35.7
17) 270£
Using the approximation 3.14 for pi, what is the radius of a circle with circumference 69.1 m?
Answer:
11.0
Step-by-step explanation:
Circumfrence = 2 x pi x r.
making radius, r the subject of relation, you.get 11.003184713
Answer:
Hey!
Your answer is 11cm!
Step-by-step explanation:
So to get the radius from the Circumference we need both the Circumference and the value of pi...3.14
Radius = [tex]\frac{C}{2\pi }[/tex] ... (that's the formula)
WE SUBSTITUTE IN:
Radius = 69.1/2 x 3.14
69.1/6.28
This equals = 10.99760656765
BUT 11cm when you round it to the next whole number or 2sf
I HOPE THIS HELPED YOU!what is the value of 6x (power of 2) when x=1.5
7
8 change the fractions to decimals. Round to the nearest thousandth
i’m stuck please help
During a snowstorm, Eva tracked the amount on the ground. When the storm being, there was no snow on the ground. Snow feel at a constant rate of 3 inches per hour until 6 inches had fallen. The storm then stopped for 5 hours and then started again at a constant rate of 2 inches per hour for the next 2 hours. As soon as the storm stopped again the sun came out and melted the snow for the next 2 hours at a constant rate of 4 inches per hours
Answer:
2 inches of snow was left on the ground
Step-by-step explanation:
To calculate the amount of snow on the ground we can take it one step at a time. Since there was no snow on the ground we can start at a level of 0. Then it snowed until 6 inches of snow had fallen, so we can add that to our total.
0 + 6 = 6 inches
Next, it snowed for 2 more hours at a rate of 2 inches per hour, meaning we multiply this by 2 hours and add to the total amount of snow that was already on the ground.
(2*2) + 6 = 10 inches
Lastly, the sun came out and melted the snow on the ground for 2 hours at a rate of 4 inches per hour. Since it is melting the snow, this means that it is subtracting the snow from the total. So we would have to multiply the rate (4 inches per hour) by the number of hours and then subtract that from the amount of snow on the ground.
10 - (4*2) = 2 inches
Plz help I’m on a deadline I will give Brain list !!!!!!!
Answer:
find it out
Step-by-step explanation:
Estimate. 5. 8% of 40
If multiple people answer i will mark the the first brainliest
Answer:
nice
Step-by-step explanation:
2x - y = -2
x + y=-4