Answer:
74
Step-by-step explanation:
The mean of any set of numbers is simply the sum of the numbers divided by however many numbers you have. Because of this you can write the following equation
Mean = (sum of numbers)/(number of numbers)
Let's say that the missing test score is called x:
Mean = 80 = (80 + 85 + 73 + 78 + 90 + x)/6
80(6) = 80 + 85 + 73 + 78 + 90 + x
480 = 80 + 85 + 73 + 78 + 90 + x
x = 480 - 80 - 85 - 73 - 78 - 90
x = 74
Urgent!
18. A tennis ball is launched straight upward with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:
4.9t2 + 24.5t + 117.6 = 0
-4.9t2 - 24.5t + 117.6 = 0
-4.9t2 + 24.5t - 117.6 = 0
4.9t2 + 24.5t - 117.6 = 0
-4.9t2 + 24.5t + 117.6 = 0
19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)
t = 8 seconds
t = 4 seconds
t = 3 seconds
t = -3 seconds
The ball will never reach the ground.
20. Using the same equation, determine when the ball is at a height of 49 meters.
Step-by-step explanation:
18.
the last one.
-4.9t² + 24.5t + 117.6 = 0
the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.
19.
the general solution for a quadratic equation
y = ax² + bx + c
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = t
a = -4.9
b = 24.5
c = 117.6
t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =
= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =
= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8
t1 = (-24.5 + 53.9)/-9.8 = -3
t2 = (-24.5 - 53.9)/-9.8 = 8
a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.
20.
now the equation is
-4.9t² + 24.5t + 117.6 = 49
but this is quickly transformed again into a "= 0" equation :
-4.9t² + 24.5t + 68.6 = 0
t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =
= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =
= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8
t1 = (-24.5 + 44.1)/-9.8 = -2
t2 = (-24.5 - 44.1)/-9.8 = 7
again, negative time does not make sense.
the ball will be at 49 m height after 7 seconds.
Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?
Help please?
Answer:
21.25 feet
Step-by-step explanation:
16.5 feet
+14.75
=21.25 feets
Simplify, and Write answer without parentheses
Answer:
w^18
Step-by-step explanation:
exponents are multiplied when there is a parenthesis between them
Answer:
[tex]w^{18}[/tex]
Step-by-step explanation:
the "power to a power" rule allows you to multiply those two exponents. [tex](x^{a} )^{b} =x^{ab}[/tex] is the formula for this rule. in this question, x is w, a is 3, and b is 6. we can multiply the 3 and 6 and get 18 and keep the base the same.
given the function f(x)=3x-5, for which value in the domain does f(x)=-38?
[tex]f(x) = -38\\\\\implies 3x -5 = -38\\\\\implies 3x = -38 +5 \\\\\implies 3x = -33\\\\\implies x = -\dfrac{33}{3}\\\\\implies x = -11[/tex]
If (6^2]^p = 6^10, what is the value of p?
A.) 2
B.) 3
C.) 4
D.) 5
please help with this
Answer:
v = 32
Step-by step explanation:
Step-1: Subtract 15 both sides
⇒ v/4 + 15 = 23
⇒ v/4 + 15 - 15 = 23 - 15
⇒ v/4 = 8
Step-2: Use cross multiplication
⇒ v/4 = 8
⇒ v = 8 × 4 = 32
solve the equations 3/4x = 21
Therefore, the answer is 28.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find all x-intercepts of the function. Express your answer as a list of x-values.f(x)=4x^4-64
Answer:
[tex]x=\pm2[/tex]
Step-by-step explanation:
[tex]f(x)=4x^4-64[/tex]
[tex]0=4x^4-64[/tex]
[tex]0=x^4-16[/tex]
[tex]16=x^4[/tex]
[tex]\pm2=x[/tex]
HELP PLEASEEEEEE ill give u 30 point plays brainly u dont even have to show ur work
Answer:
1) 32/7
2) 7/5
3) 13/4
4) 32/15
5) 19/2
6) 57/14
Step-by-step explanation:
Use a calculator and/or multiple the coefficients with the value of the denominator then add it to the numerator and multiply.
Please answer with an explanation (polynomials)
Answer:
[tex]-8p^2+10p-3[/tex]
Step-by-step explanation:
[tex](-1+2p)(3-4p)[/tex]
Distribute
[tex]-1(3-4p)+2p(3-4p)[/tex]
[tex]-3+4p+6p-8p^2[/tex]
Then you will organize it into standard form and combine the like terms
[tex]-8p^2+6p+4p-3[/tex]
[tex]-8p^2+10p-3[/tex]
Hope this helps!
PLSSSS HELPPPP ASAPPPP. REWARDING BRAINLIEST. PLS SHOW WORK
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Answer: B = 90°; C = 60°
Step-by-step explanation:
B is obviously 90° because of the right angle quadrant.
Since it is a right triangle and A is already 30°, just subtract 30 from 90.
90 - 30 = 60
Thus, C is 60°.
Correct me if I am incorrect.
In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?
Answer:
x would be equal to 70 grades
Step-by-step explanation:
The angle QRS is equal to 180 - 130 = 50 grades.
We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:
60 + x + 50 = 180
x = 70
Hope this was helpful
what are 4 quarts in one gallon but in a
fraction form
Answer:
4 Quarts = 1 Gallon
Step-by-step explanation:
1 is an integer and not a fraction. However, it can be expressed as a fraction in rational form as 1/1. So a possible answer is 1/1 gallon. I don't know for sure though its my best guess.
Please help me with my math homework what is the answer!!!
Answer:
Step-by-step explanation:
The letters are easy enough.
y^3 determines that 3 ys are needed. y^2 is taken in by the cubed.
x^4 determines that 4 xs are needed. x^3 is part of x^4 and you don't need any more xs
12 and 42 are the parts that will cause the problem. Factor them both into prime factors
12: 2 * 2 * 3
42: 2 * 3 * 7
You need two 2s.
You need one 3
You need one 7
LCD = 2 *2*3 * 7 = 84
Which explanation correctly tells whether these ratios are equivalent and why?
Yes because 3 x 2 = 6 and 14 x 2 = 28.
No because there is no scale factor to get from 3 to 14.
Yes because 3 x 5 = 14 and 6 x 5 = 28.
No because when I use the cross products, 3 x 14 = 42 and 6 x 28 = 168.
Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.
Step-by-step explanation:This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.
=> Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.=> Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.Hoped this helped.
[tex]BrainiacUser1357[/tex]
The sum and difference of two positive numbers are 15 and 5 respectively. Find the numbers.
[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]
Find the new amount given the original amount and the percent of change.
$7; 10% increase
The new amount is
Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7
Write as an equation/inequality: "The product of four and a number is the sum of the number and twelve."
Answer: 4x = x+12
Step-by-step explanation:
Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?
592 sq. ft
512 sq. ft
960 sq. ft
800 sq. ft
Write the following numbers in order from least to greatest: -5.6, 7.95, 2.06, 0, -6.89
Please help :)
I think I know it but can someone help me double check
Answer:
-6.89, -5.6, 0, 2.06, 7.95
Step-by-step explanation:
Hope this helps!
-6.89.-5.6,0,2.06,7.95
Negatives are always lesser values than positives.
-
Drag the steps for drawing a graph of the function f(x) = 2(x+4)2 - 3 to
arrange them in the correct order. It might help you to draw the graph as
you arrange the steps.
Plot the vertex (-4,-3).
Draw the axis of symmetry x=-4.
Reflect the points over the axis of symmetry and plot (-5, -1), (-6,5), and (-7,15).
Apply the 2x? pattern, from the vertex go right 1 up 2 and plot (-3,-1).
Apply the 2x² pattern again, from the vertex go right 2 up 8 and plot (-2,5).
Apply the 2x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1,15)
Draw a U shaped parabola
The shape of the graph of quadratic functions is the shape of a parabola.
The steps for drawing a graph of the function f(x) = 2·(x + 4)² - 3 arranged in the correct order are;
(a) Plot the vertex (-4, -3)(b) Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)(c) Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)(d) Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)(e) Draw the axis of symmetry x = -4(f) Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)(g) Draw a U shaped parabola.Reasons:
The given function is; f(x) = 2·(x + 4)² - 3
The function is given in the vertex form; f(x) = a·(x - h)² + k
Therefore, the vertex, (h, k) = (-4, -3)
Step (a);
The vertex can be plotted on the graph
Plot the vertex (-4, -3)Step (b);
Given that the quadratic term is 2·x², the pattern that can be used for the points from the vertex is therefore, 2·x²
From the vertex (-4, -3) apply the 2·x² pattern by going to the right 1 unit and up 2 × 1² = 2 units to get the point (-4 + 1, -3 + 2) = (-3. -1)
Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)Step (c);
To get the next point, the 2·x² pattern is applied with x = 2, to the vertex to get; (-4 + 2, -3 + (2×2²)) = (-2, 5)
Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)Step (d);
A third point on the graph relative to the vertex is obtained again by applying the 2·x² pattern again to the vertex with x = 3, to get;
(-4 + 3, -3 + (2 × 3²)) = (-1, 15)
Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)Step (e);
The axis of symmetry can be drawn with a vertical line passing through the vertex, which is the line, x = -4
The line x = -4 can be drawn on the graph next
Draw the axis of symmetry x = -4Step (f);
The points obtained relative to the vertex (-3, -1), (-2, 5), (-1, 15) can reflected about the axis of symmetry x = -4, to get;
(-3, -1) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-5, -1)
(-2, 5) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 5)
(-1, 15) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 15)
Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)Step (g);
The parabola that is U shaped can be drawn from the points plotted in the steps above.
Draw a U shaped parabolaLearn more about drawing the graph of a quadratic function here:
https://brainly.com/question/6353430
what is the ration of 8 lions and 4 tigers
Answer:
the ration is 2:1 when simplified
Someone help me out on this math question?
Answer:
A. discrete
B. discrete
C. continuous
D. continuous
Step-by-step explanation:
When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.
__
When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.
A charity organization is having a fundraiser. The variable P models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets. P = 70n - 1500 How much money does the charity raise by selling a single ticket?
Step-by-step explanation:
the answer is the factor of n : 70.
with every sold ticket the charity raises $70.
add on :
to break even (to have at least 0 or more dollars as profit) they need to sell at least
70n - 1500 = 0
70n = 1500
7n = 150
n = 150/7 = 21.42857143...
that means, since they can't sell parts of tickets, they need to sell at least 22 tickets.
What is th eslope of the graph if it has these coords?
(1,2) and (3,-1)
The two team captains agree to eliminate the halftime interval but one of the players insists on a halftime interval. What decision should the referee make
What the judge should do is adhere strictly to the rules.
This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.
Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.
Learn more about referees in https://brainly.com/question/8186953
The referee will have to allow halftime interval as a result of one of the
players wanting it.
Every sport has rules which guides the game to ensure fair play and prevent
confusion from happening. Referee decisions are based on the rule of the
game but can also be negotiated.
In this scenario, if all the players wanted eliminate the halftime interval, it
could have been honored .But in this case, the referee has to follow the rules
of the game due to the other player disagreeing with the suggestion.
Read more about Sport rules https://brainly.com/question/1862654
Which graph represents a function?
Answer: B
Step-by-step explanation:
I'm bad at math helpppppp
Answer:
2x + y = 18
y = 4x - 12
x = 5, y = 8
Step-by-step explanation:
x = 1st number
y = 2nd number
We can use the substitution method as we know what 'y' equals; that value will get plugged in for 'y' in the first equation as follows:
2x + 4x - 12 = 18
6x - 12 = 18
6x = 30
x = 5
y = 4(5) - 12 which is 20-12 or 8
y = 8
HELP PLEASE!!!!!!!!!!!!
what is 8 1/5 as a improper fraction
Answer:
41/5
Step-by-step explanation:
So the answer is that 8 1/5 as a decimal is 8.2.
We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.