Answer:
47.5 Meters
Step-by-step explanation:
Find where the derivative changes from positive to negative (local maximum)
h(t)=[tex]-6t^2+30t+10[/tex]
h'(t)=[tex]-12t+30[/tex]
Find where the derivative equals zero
Theres no spot where the derivative wont exist because its a polynomial.
-12t=-30
t=[tex]\frac{5}{2}[/tex]
Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.
Now plug into original equation
h(2.5)=[tex]-6(2.5)^2+30(2.5)+10[/tex]
=-37.5+75+10
=47.5
The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?
Answer:
cost of admission for each child was $4.00, and each adult was $25.33
Step-by-step explanation:
When solving questions like these , I like to break down the problem so I understand it better.
Let x ---> cost of the admission for each child
Y ---------> cost of the admission for each adult
9x+3y = 112 ---> equation A
8x + 3y = 108 ---> equation B
Subtract B from A
9x+3y=112
-8x+3y = 108
x = 112-108
x = 4
Find value of y by substituting value of x into equation
9(4)+3y=112
Solve for y
36+3y = 112
3y = 112=36
3y = 76
y = 25.33
Find the exact circumference.
Answer:
25π
Step-by-step explanation:
C= πd
d=√(24²+7²)=√(576+49)=√625=25
C=25π
Answer:
Step-by-step explanation:
First off, divide 24 by 2 as that would give you the radius of the circle
24cm / 2cm = 12cm
Next, use the formula to calculate the circumference of a circle and plug in radius:
C = 2 x π x r
= 2 x π x 12cm
= 75.40cm is the circumference
Today everything at a store is on sale the store offers a 20
% discount the regualr price of a t shirt is 18 what is the discount price
Answer:
$14.40 is the discount price.
Step-by-step explanation:
0.2 x 18 = 3.6
18 - 3.6 = 14.4
PLZ HELP. What is the slope of (-5,1) and (-5,7)
Answer:
0
Step-by-step explanation:
the x-value doesn't change
Hello! :)
We can use the slope formula:
[tex]\frac{y2-y1}{x2-x1} \\\frac{1-7}{-5-(-5)} \\\frac{-6}{-5+5} \\\frac{-6}{0} \\[/tex]
The slope is undefined. Here's something you should remember:
If the x-coordinates are the same, then the slope is undefined.Hope it helps! :)
Please ask if you have any query.
~An excited gal
[tex]MagicalNature[/tex] here to help
this is the screenshot bc i cant write it
Answer: 8[tex]x^{6}[/tex] , A
Step-by-step explanation:
1) 2 x 4 = 8
2) Add the exponents: (X^3)x^3) = x^6
Add the exponents (with the same base) when multiplying.
what must be added to a^2+3/5a
Divide.
−4 1/3÷−2 3/5
1 2/3
1 4/5
2 1/5
2 3/5
Answer: 1 2/3
Step-by-step explanation:
Jitters sells a 12-oz. cup of coffee for $2.70, and she sells a 20-oz. cup for $4.50. Which cup size is a better deal per ounce?
Answer: both are the same
Step-by-step explanation: since 2.70÷ 12= 0.225 and 4.50÷ 20= 0.225
I don't understand this question, can someone help please?
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation
7x – 10y = 3. Is this a good model? Explain your reasoning.
Answer:
No. Correct is 7x - 10y = 6.
Step-by-step explanation:
The slope of the line is (-9-5)/(-12-8) = 7/10
y - 5 = 7/10(x - 8)
10y - 50 = 7(x - 8)
10y - 50 = 7x - 56
7x - 10y = -50 + 56
7x - 10y = 6.
Explanation:
Let's plug in x = 8 and y = 5. This is directly from the ordered pair (8,5).
7x - 10y = 3
7*8 - 10*5 = 3
56 - 50 = 3
6 = 3
We get a false equation at the end, which means the original equation is false when (x,y) = (8,5). Therefore, the point (8,5) is not on the line 7x-10y = 3. Furthermore it means that 7x-10y = 3 is not a good model since Devon wanted the line to pass through both given points.
If you were to plug in (x,y) = (-12,-9), then you would find the same thing happens. For each ordered pair, the left side results in 6. So if Devon were to change that "3" to "6", then it would be a good model as both points would be on the line. In other words, the standard form equation Devon should use is 7x-10y = 6. When solving for y, Devon would get y = (-7/10)x - 3/5
Below is visual confirmation that 7x-10y = 3 is not a good model. Both points are not on the line. The graph was made using GeoGebra.
Which statements are true about triangle ABC and it’s translated image, A’ B’ C’? Select two options
Answer:
ABC
Step-by-step explanation:
i think this is true, If it is wrong I will make it right
Can someone help me !!!
Answer:look close because that is the question
Step-by-step explanation:
A rectangle has an area of 140m2.
One of the sides is 10m in length.
Work out the perimeter of the rectangle.
Am I right or wrong? If I'm wrong which is right?
Answer: The correct answer is (3x+1)(x-4)
Step-by-step explanation:
(3x+1)(x-4)
3x(x-4) + 1(x-4)
3x^2 - 12x + x-4
3x^2 - (12x + x)-4
3x^2 - 11 x - 4
at a party 6 out of 8 people what pepperoni pizza what percent of people don’t want pepperoni pizza
Answer:
sorry I don't know the answer to this question
What is the surface area of this square pyramid? ft^2 on ft
2 ft^2
.
4 ft^2
2 ft² .
2 ft^2
2 ft²
HURRY PLEASE! Do questions 4,5,6 on paper
This should be right , if any doubt please comment
55.99 dollars gift with 18% coupon and 7.25% sales tax. What is the final cost?
Answer:
I think it is $91.89.
Step-by-step explanation:
1. Take the number and add sales tax by multiplying 0.0725 ( since that is what the percentage is in a decimal form). Then add that to the original and you have what it would be plus sales tax: $60.05.
2. Then you would need to multiply by 0.18. You would get 10.809
3. Next, subtract the 10.809 from $60.05 and the answer is $49.24.
I hope this helps! :)
What is the justification for each step in the solution of the equation?
5x−42=2x−1
Answer:
39.6Step-by-step explanation:
collecting like terms we have:
5x-2x=-1+42
equating the terms..we have:
3x=41
divide both sides by the Co-efficient of x:
3x\3=42\3
x=39.6
Answer:
What is the justification for each step in the solution of the equation? 5x−4/2=2x−1 Select from the drop-down menus to correctly justify each step. 5x−42=2x−1 Given 5x−4=2(2x−1) Choose. 5x−4=4x−2 Choose. 5x=4x+2 Addition or Subtraction Property of Equality x=2 Choose. Options Addition or subtraction property of equality Multiplication or division property of equality Distributive property of.
__________________________________________________________
5x−4/2=2x−1
Select from the drop-down menus to correctly justify each step.
5x−42=2x−1 Given
5x−4=2(2x−1) Choose.
5x−4=4x−2 Choose.
5x=4x+2 Addition or Subtraction Property of Equality
x=2 Choose.
Options
Addition or subtraction property of equality
Multiplication or division property of equality
Distributive property of equality
Combine like terms
The “/” Is for a fraction
Please help ASAP !!!
THANKS!!
Answer:
rotation
Step-by-step explanation:
Answer:
Reflection
Step-by-step explanation:
I think its reflection because if you reflect them across the y axis then the x axis I believe they will be in those positions.
evaluate the expression using the order of operations. show each step of work
Answer:
-73
Step-by-step explanation:
Here's the solving step
Pls help.......
[tex]100 - j = j - 40[/tex]
100 - j = j - 40
100 + 40 = j + j
140 = 2j
140/2 = j
70 = j
_____
RainbowSalt2222 ☔
Solve the equation (5x3)(5x4)=55
pretty please i need it asap
Answer:
5x3 is 15 and 5x4 is 20. 15x 20 is 300…. Soo..
Step-by-step explanation:
Solve for u
24 =y6
u-
Answer:
4
Step-by-step explanation:
=> 24 = y(6)
=> y = 24/6 = 4
16 divided by 5 as a decimal
Answer:
3.2 brainliets
Step-by-step explanation:
For which values of x is this function constant?
Answer:
- 2 ≤ x ≤ 0
Step-by-step explanation:
The constant part of the graph is the section between (- 2, 1 ) and (0, 1 )
where the graph is horizontal and parallel to the x- axis, that is the y value is constant at 1
x4+x2+1? Also please explain that?
Answer:
x4 + x2 + 1 = 6x + 1
Follow me and hope it helpsAnswer:
Solution
Given,
x4+x2+1
Step-by-step explanation:
Adding and subtracting x2 to the given equation /
=x4+ x2+ 1+ x2- x2
=x4+2x2+1-x2
=(x2+1)2 -x2 {.:a2+2ab+b2=(a+b)2}
=(x2+1+x) (x2+1-x) { .:a2-b2=(a+b) (a-b) }
hope it helps
Ty good day
#urJ.r...~
what’s the slope for this
Answer:
-2
Step-by-step explanation:
x=5 and y=7
9y+x= ?
i need help );
Answer:
Step-by-step explanation:
All we need to do is substitute the y and x. This would then look like:
9y + x =
9 × 7 + x =
9 × 7 + 5.
Can you solve it from here?
One batch of pink paint uses `2` cups of red paint and `7` cups of white paint. Mai made a large amount of the same color pink paint using `14` cups of red paint. .
how do you translate nine equals the quotient of a number and 54
Answer:
9 = [tex]\frac{n}{54}[/tex] or n ÷ 54
Step-by-step explanation:
nine equals the quotient of a number and 54
/\
9 = the quotient of a number and 54
/\
9 = will be division of a number and 54
/\
9 = [tex]\frac{n}{54}[/tex] or n ÷ 54
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
