First we need to differentiate y
[tex]\\ \sf\Rrightarrow \dfrac{dy}{dx}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)[/tex]
[tex]\\ \sf\Rrightarrow -32x-110[/tex]
Now let it be 0
[tex]\\ \sf\Rrightarrow -32x-110=0[/tex]
[tex]\\ \sf\Rrightarrow -32x=110[/tex]
[tex]\\ \sf\Rrightarrow x=|110/-32[/tex]
[tex]\\ \sf\Rrightarrow x=3.44s[/tex]
Put it in y
[tex]\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2[/tex]
[tex]\\ \sf\Rrightarrow y=204.05ft[/tex]
Mr. Miranda borrowed $8,800 for 12 months at simple interest to pay for a new swimming pool. If Mr. Miranda paid the bank a total of $10,287.20, what was the simple interest rate of the loan?
85.5%
1.4%
16.9%
14.5%
The answer would be b, or 1.4%.
The simple interest rate of the loan will be 16.9%. Then the correct option is C.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
A = P + (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Mr. Miranda acquired $8,800 for a considerable length of time at basic interest to pay for another pool. On the off chance that Mr. Miranda paid the bank a sum of $10,287.20.
The simple interest rate of the loan will be given as,
10,287.20 = 8,800 + [(8,800 x r x 12) / (100 x 12)]
1,487.2 x 100 = 88r
r = (1487.2 / 88) x 100
r = 0.169 x 100
r = 16.9%
The simple interest rate of the loan will be 16.9%. Then the correct option is C.
More about the simple interest link is given below.
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PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 25 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
30:1
5:1
3:1
2:1
Answer:
5:1
Step-by-step explanation:
HELP!!!
7 + y = ‐2
Please solve this WITH your math please don't just post the answer! Whoever does this first will get brainliest!
Answer:
y=-9
Step-by-step explanation:
7+y=-2
subtract 7 on both sides
Answer:
y= -9
Step-by-step explanation:
This is a one-variable equation.
7+y= -2
We can subtract 7 from both sides to isolate y
7 + y - 7= -2 - 7
After simplifying, we get
y= -9
Encuentra las dimensiones de un rectangulo cuyo perímetro es 26 mts y el área es 40m2
Answer:
Las dimensiones del rectángulo son:
lado corto: 5 cm
lado largo: 8 cm
Step-by-step explanation:
Consideraciones:
El perímetro de un rectángulo se calcula así:
p = 2(lado corto + lado largo)
El área de un rectángulo se calcula así:
a = lado largo * lado largo
Planteamiento:
26 = 2(a+b)
40 = a*b
a = lado largo
b = lado corto
Desarrollo:
de la primer ecuación del planteamiento:
26/2 = a+b
13 = a+b
13-a = b
sustituyendo este último valor en la segunda formula del planteamiento:
40 = a(13-a)
40 = 13*a + a*-a
40 = 13a - a²
-a² + 13a - 40 = 0
a = {-13±√((13²)-(4*-1*-40))} / (2*-1)
a = {-13±√(169-160)} / -2
a = {-13±√9} / -2
a = {-13±3} / -2
a₁ = {-13-3} / -2 = -16 / -2 = 8
a₂ = {-13+3{ / -2 = -10 / -2 = 5
The point (-5,0) is plotted on a coordinate plane.
What is the point of reflection when (-5,0) is reflected across the y-axis?
A-(0,5)
B-(-5,0)
C-(0,-5)
D-(5,0)
[tex]\huge\boxed{Hello! :)}[/tex]
We plot the point (-5,0) on the coordinate plane.
Then, we reflect it over the y-axis.
Remember the rule:
If a point has coordinates (x, y), and the point is reflected over the y-axis, the new point's coordinates are: (-x,y)Let's use this rule now.
We reflect (-5,0) over the y-axis.
(-5,0)
The new point is: (5,0)
[tex]\huge\boxed{(5,0) \: is \: the \: answer. :)}[/tex]
(Option D)
[tex]\boxed{Felicitous\: Girlie\: here\: to\: help}[/tex]
According to the graph, how many students received an 90 for their first semester grade?
A: 0
B: 2
C: 6
D: 15
Write the percent as a fraction or mixed number in simplest form.
31.25%
Please show work!
What type of triangle is AABC? Select all that apply.
Thank u
Answer:
obtuse and isosceles
Step-by-step explanation:
The question is, “ Which fraction is equivalent to 2/6?
A. 3/7
B.3/9
C.3/12
D.3/8”
I think that’s the question she was trying to adk
Answer:
B .3/9
Step-by-step explanation:
2/6 = 0.333333
3/9=0.333333
what's the interior angle of a regular octagon (eight sided shape) ?
please help asap
Answer:
135 degress
Step-by-step explanation:
An equivalent expression for16x-8
Answer:
8(2x-1)
Step-by-step explanation:
16x-8=8(2x-1)
What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh One-eleventh Two-fifteenths Fifteen-halves.
The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
The given parameters:
Partition of the line segment = 5:6The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;
total segment = 5 + 6 = 11
The value of each partition on the directed line segment is calculated as follows;
[tex]partition = \frac{1}{11} \times distance[/tex]
The distance between point D and point E is calculated as follows;
[tex]D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9[/tex]
The partition of the two points (D to E) is calculated as follows;
[tex]partition = \frac{1}{11} \times 9 = 0.82[/tex]
Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
Learn more about partition of line segments here: https://brainly.com/question/4429522
Answer:
B
Step-by-step explanation:
edge2021
The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function c (x) = 90 + 12x represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?
Solve the system of equations
{y= 15x+9
{y= 1/2x–20
What is the solution to the system?
[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]
18 POINTS! WHAT IS THE ANSWER TO 1 2 3 AND 4 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST
Answer:
J, B, A, L
Step-by-step explanation:
The awnser to question one is J, the awnser to questions two is B, the awnser to question three is A and the awnser to question four is L. Hope this helps.
jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 1 hour
Answer:
1500 words
Step-by-step explanation:
300 times 5 equals 1500.
i NEED help pleaseee
Use the properties of operations to write an expression equivalent to 4x+1/2+2x-3. Please include explanations. Thanks!
Answer:
[tex]6x -2\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]4x + \frac{1}{2} + 2x - 3[/tex] Addition of like terms
[tex]6x + \frac{1}{2} - 3[/tex] Addition of content terms
[tex]6x -2\frac{1}{2}[/tex]
Each batch of 24 cookies needs 2.25 cups of flour. If Stacy and her mom bake 3.5 batches, how much flour is
needed?
Show work !
Answer:
7 7/8 cups of flour
Step-by-step explanation:
2.25 times 3.5 equals 7.875
Please help
Me solve this ASAP
Answer:
i dont know it looks complicated
Step-by-step explanation:
copy paste then search it, you might find it.
Evaluate 4(2a – b) when a = –1 and b = 5.
–48
–28
–12
32
Hey There!
Question:-[tex]\sf \longmapsto \: 4(2a - b)[/tex]
This is a algebraic expression. The values of a and b are given. The values are as follows :-
a = -1
And,
b = +5 .
Solution:-[tex]\sf \longmapsto4(2a - b)[/tex]
Note that a is multiplied with 2 that is :-
[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]
Now, Insert the values that is a = -1 and b = 5 :-
[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]
Here,we need to follow BODMAS Rule.
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
We need to solve the bracket's calculations first as it is the rule.
So, Firstly Multiply (2 × -1) :-
[tex]\sf \longmapsto4( - 2 - 5)[/tex]
Note that, (-) × (-) equals to (+).
So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.
[tex]\sf \longmapsto4( 5+ 2)[/tex]
On Simplification:-
[tex]\sf \longmapsto4( - 7)[/tex]
[tex]\sf \longmapsto4 \times (- 7)[/tex]
[tex]\sf \longmapsto \: - 28[/tex]
______________________________________
Henceforth the solution of the algebraic expression is :-
[tex] \bf \:- 28[/tex]
Option B is correct!
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
The expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
If Latisha works [tex]x[/tex] hours each day
Demetrius works one more hour than Latisha each day. Algebraically, Demetrius works [tex](x+1)[/tex] hours each day
So for a [tex]5[/tex]-day working week, Demetrius will work
[tex](x+1)+(x+1)+(x+1)+(x+1)+(x+1)\\=5\times (x+1)\\=5(x+1)hours[/tex]
If we remove the brackets, we have the equivalent expression
[tex]5(x+1)=5x+5[/tex]
So the expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
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Archie and Michael are helping their friend George move the washers and dryers from his laundromat to a larger building. Archie's truck is carrying three washers and four dryers that have a combined mass of 1260 kg Michael's truck is carrying two washers and three dryers that have a combined mass of 880 kg.
How much does one of George's washers weigh?
Answer:
A
Step-by-step explanation:
Yes
If you change something about an atom, you change the type of element it makes.
A. True
B. False
No links
Answer:
B
Step-by-step explanation:
Depends on what you change. If you change the number of electrons or neutrons, it will still be the same element. It will just become a charged ion or an isotope respectively. If you change the number of protons, it will become a different element.
Hope that helps
can somebody help me
20-5+15(25)=b+3+65(23)
Answer:
-1108
Step-by-step explanation:
Answer:
-b=-1108
Step-by-step explanation:
20-5+375=b+3+1495
-375 -375
20-5=b+3+1420
15=b+1423
-b -b
-b+15=1423
-15 -15
-b=1108
20-5+375=-1108+3+1495
390=390
NEED HELP ASAP WILL GIVE 100 PTS IN IT HAVE TO BE RIGHT AND I WILL GIVE BRAINIEST
You were helping a friend with their math homework and saw the following work and explanation for one of their answers: (7^0/7^5)^1/5=7^−4/5. They are equivalent because (7/7^5)^1/5=(7^−4)^1/5. You notice their work and explanation are incorrect. Explain why it is wrong and give the correct answer.
Answer:
Step-by-step explanation:
(7^0/7^5)^1/5
= (1 / 7^5)^ 1/5
= (7^-5)^1/5
= 7^-1
= 1/7 is the correct answer.
solutions of the quadratic $x^2 + 7x - 18 = 0.$
The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
x² + 7x - 18 = 0
Factorize the quadratic equation, then we have
x² + 7x - 18 = 0
x² + 9x - 2x - 18 = 0
x(x + 9) - 2(x - 9) = 0
(x + 9)(x - 2) = 0
x = 2, -9
The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.
More about the solution of the equation link is given below.
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ASAP help 50 points Please hurry
Answer:
Step-by-step explanation:
Y=7
Let it be x
[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{150+150}{280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{300}{280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{2}{280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{1}{140}[/tex]
[tex]\\ \sf\longmapsto x=140ft[/tex]
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.
Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
5
x
+
1
and
5
(
x
+
1
)
5 x plus 1 and 5 times open paren x plus 1 close paren
(
x
+
1
)
×
5
and
5
×
x
+
1
open paren x plus 1 close paren times 5 and
5
×
x
+
1
5
(
x
+
1
)
and
5
x
+
5
5 times open paren x plus 1 close paren and 5 x plus 5
(
x
+
1
)
×
5
and
5
+
(
x
×
1
)
open paren x plus 1 close paren times 5and 5 plus open paren x times 1 close paren
The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1) and 5x + 5
We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.
So,
Let the amount of works done by Latisha be = xThen, the amount of works done by Demetrius will be = x + 1Thus, the both expression that can determine the number of hours Demetrius works in five days is:
= 5(x + 1) and 5x + 5
This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.
5 times open paren x plus 1 close paren and 5 x plus 5 is correct.Learn more about word problems here:
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