Answer:
see the attached figure with letter to better understand the problem
we know that
If triangle ABC is similar to triangle PQR
then
the ratio of the corresponding sides are proportional
so
substitute the values
therefore
the answer is the option C
Step-by-step explanation:
What is the vertex of the graph of this function?
v = - (x + 2)(x+4)
Answer:
(-3,1)
Step-by-step explanation:
Hope this helps:)
9514 1404 393
Answer:
(-3 1)
Step-by-step explanation:
The x-intercepts of the function are the values of x that make the factors zero: x = -2, x = -4. The x-coordinate of the vertex is halfway between these values:
x = (-2 +(-4))/2 = -6/2 = -3
The y-coordinate of the vertex is the function value at that x-coordinate:
y = -(-3+2)(-3+4) = -(-1)(1) = 1
The coordinates of the vertex of the graph are (-3, 1).
Which function is negative for the interval [1, 1]?
(c). Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture at time t (in seconds) is given by the function P(t)= 3t² +3e' +10, t≥0.
(1) What is the size of the population after 1 minute?
(ii) Find the average rate of change of P at t = 2 and t = 6?
(iii) How fast is the size of the population changing after 1 minute?
[Verify your answer by MATHEMATICA and attach the printout of the commands and output
(i) Since P(t) gives the population of the culture after t seconds, the population after 1 second is
P(1) = 3•1² + 3e¹ + 10 = 13 + 3e ≈ 21.155
In Mathematica, it's convenient to define a function:
P[t_] := 3t^2 + 3E^t + 10
(E is case-sensitive and must be capitalized. Alternatively, you could use Exp[t]. You can also specify that the argument t must be non-negative by entering a condition via P[t_ ;/ t >= 0], but that's not necessary.)
Then just evaluate P[1], or N[P[1]] or N <at symbol> P[1] or P[1] // N to get a numerical result.
(ii) The average rate of change of P(t) over an interval [a, b} is
(P(b) - P(a))/(b - a)
Then the ARoC between t = 2 and t = 6 is
(P(6) - P(2))/(6 - 2) ≈ 321.030
In M,
(P[6] - P[2])/(6 - 2)
and you can also include N just as before.
(iii) You want the instantaneous rate of change of P when t = 60 (since 1 minute = 60 seconds). Differentiate P :
P'(t) = 6t + 3e^t
Evaluate the derivative at t = 60 :
P'(60) = 6•60 + 3e⁶⁰ = 360 + 3e⁶⁰
The approximate value is quite large, so I'll just leave its exact value.
In M, the quickest way would be P'[60], or you can differentiate and replace (via ReplaceAll or /.) t with 60 as in D[P[t], t] /. t -> 60.
HELPPPPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSS
Answer:
B
Step-by-step explanation:
3 + f = 14 [tex]\frac{2}{7}[/tex] ← change to improper fraction
3 + f = [tex]\frac{100}{7}[/tex] ( multiply through by 7 to clear the fraction )
21 + 7f = 100 ( subtract 21 from both sides )
7f = 79 ( divide both sides by 7 )
f = [tex]\frac{79}{7}[/tex] = 11 [tex]\frac{2}{7}[/tex] → B
Answer:
B. [tex]f=11\frac{2}{7}[/tex]
Step-by-step explanation:
We have the equation 3 + f = 14 2/7
We need to get f alone, doing so is subtracting three from both sides:
3 + f = 14 2/7
-3 = -3
14 2/7 - 3 = [11 2/7]
Leaving us with f = 11 2/7
This is B.
pls help I need for tomorrow
Answer:
This was hard to answer, ugh. Does this help :(
Step-by-step explanation:
----------1---2 3/10-------2----------3
----------1-----2 2/5-----2----------3
At the beginning of May. Alice's checking account balance was $752. She wrote checks for $142, $37 and $172. She deposite $40, $80 and $35. What was her balance at the end of the month?
Answer:
$556
Step-by-step explanation:
$752 - $142 = $610
$610 - $37 = $573
$573 - $172 = $401
$401 + $40 = $441
$441 + $80 = $521
$521 + $35 = $556
Writing checks takes money out so you subtract.
Depositing money means putting in which means you add.
Susan's art class is 8 hours long. How long is her class in minutes?
Answer:
480
Step-by-step explanation:
Help help help help help
The answer is 0.2 because the answer to the division would be 0.20125 and when it's rounded it gives you 0.2.
How many solutions does this system of equations have?
A. Infinitely many
B. None
C. Exactly one
D. Exactly two
Answer:
I think exactly two coz you can decide to use mitric method or elimination method ( I think)
find the perimeter of an isosceles triangle having a base of 4 feet and the congruent sides equal to 3 feet 9 inches
Answer:
11 1/2 feet
Step-by-step explanation:
4ft + 3ft 9 in(2)= 11 1/2 Feet
PLS HELP ME UNDERSTAND THIS!!
Answer:
88.25
Step-by-step explanation:
Can anyone help me? Look at the pic!
Answer:
[tex]\frac{x^3}{y^7}[/tex]
Step-by-step explanation:
Negative exponents are rewritten as:
[tex]x^{-n}=\frac{1}{x^n}[/tex]
Therefore:
[tex]x^3y^{-7}=\frac{x^3}{y^7}[/tex]
I thinks the first multiple choices, look...the one that different other than choices.
Hope it helps, thanks!
possible answers: 1.5 × 108 km
1.5 × 10−8 km
Answer:
b
Step-by-step explanation:
I need this TODAY or I’m so unbelievably screwed i need to know how to do these kind of table graphs really quickly i have a test tomorrow and its worth 90 percent of my grade also If you could tell me how to get slope that would make my day and night.
Thank you. And if you can tell me how to find slope that would be great.
Answer: Hey, getting slope is actually really easy!
Step-by-step explanation: So, if you’re given 2 sets of number such as (2,5) or (-7,3) then you just take them and you have to realize that 2 is x and 5 is y. also that -7 is x2 and 3 is y2. so then you use this formula (y2-y1 / x2-x1) this will give you the slope!! here’s an example using the points i said earlier: 3-5 / -7-2. so it would be 2/-9 for the slope! also i’d they only give you one point and the y intercept then you can just use the one point and then make the y intercept have a 0. so id the y intercept is 9 then the ordered pair would be (0,9) Good Luck! and let me know if you need to know how to graph the slope:)
Does anyone have 9-15?
In the triangle below, which of the following is equivalent to the tangent of
62 ?
25
62
16
24
O A. 21
B.
7
25
C.
24
25
O D.
7
7
24
The tangent of 62 degree is 24/7 because tan is the ratio of side opposite to the angle to side adjacent to the angle option (A) is correct.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a right angle triangle shown in the picture with side length.
As we know the tan is the ratio of side opposite to the angle to side adjacent to the angle.
tan62 = 24/7
Thus, the tangent of 62 degree is 24/7 because tan is the ratio of side opposite to the angle to side adjacent to the angle option (A) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ1
I get so confused on these things, how do I do them?
Answer:
Confusion get the best of us. May I ask what are you confused on. I may be able to help
HELLLLP
Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is Erika’s percent of error?
A) 28.3%
B)2.8%
C) 39.4%
D) 32.5%
Answer:
c hope it helps
Step-by-step explanation:
7+3 (2x - 5) = 3x +7
Which could be a step in solving the equation?
A. 10 (2x - 5) = 3x +7
B. 10 (2x + 2) = 3x + 7
O c. 7+ 6x - 15 = 3x + 7
OD. 7+ 5x – 2 = 3x + 7
given m|| n, find the value of x.
Step-by-step explanation:
7x - 7 = 6x + 11
7x - 6x = 11 + 7
x = 18
Solution → x = 18
HELP ASAP!! WILL MARK BRAINLIEST
Tomi’s band has won twice as many awards as Ali’s band. Write an algebraic expression for the number of awards Tomi’s band has won. Be sure to indicate what the variable in your expression represents.
Answer:
Step-by-step explanation:
Well find out how many rewards ali one them time that by 2 too see what answer you get you have to first figure out what
a reward ali one
Answer:
t = 2 * a
Step-by-step explanation:
Awards won by Tomi's band is t
Awards won by Ali's band is a
Equation for t
t = 2 * a
Give possible values for the measures of angles A and C if ABC is a right triangle.
Answer:
0 < A < 90
0 < C < 90
Step-by-step explanation:
If B is the right angle of the triangle, then the sum of the other angles, A and C, must equate 90° since all angles in a triangle sum to 180°:
A + C = 90
A and C could both be anything between 0 and 90, but they must satisfy the equation above:
0 < A < 90
0 < C < 90
2p+5+3=180 HELPPPPPP
Answer:
this one is actually not that hard. the answer is around 2p = 125
Step-by-step explanation:
Answer:
p = 35
Step-by-step explanation:
2p + 5 + 3p = 180 (Linear Pair)
=> 5p + 5 = 180
=> 5p = 180 - 5
=> 5p = 175
=> p = 175/5
=> p = 35
Any one get this (I need the work) and pls answer A B C D
Answer:
aaaaaaaaaaaaaaaaaaaa
Please hurry, will mark brainliest if you answer correctly
Answer:
0
Step-by-step explanation:
25/5=5, 5+7=12, 4*3=12, 12-12=0
Answer:
The answer is 0
Step-by-step explanation:
The order of the operations is:
ParenthesisExponentsMultiplication and divisionAddition and subtractionSo first multiply [tex]4 \cdot 3 = 12[/tex] and after divide [tex]\frac{25}{5} = 5[/tex] and sum this result to 7 for substract to -12.
Grandma Rose planted tomatoes in 3/8 of her vegetable garden.
What percentage is equivalent to the fraction of the vegetable garden that is tomatoes
A) 42%
B) 40%
C) 37.5%
D) 38%
Answer:C
Step-by-step explanation:
Answer:
c trust me
Step-by-step explanation:
100+100+100+100+100=
Answer:
500
Step-by-step explanation:
hope it's help you.......
which graph shows the asymptotes of the function f(x)=4x-8/2x+3
Answer:
Vertical asymptotes: x = -3/2
Horizontal asymptotes: y = 2
Write a rational function that matches the given statement:
A rational function whose graph would have a horizontal asymptote at y=15
y
=
15
and a vertical asymptote at x=−6
Answer:
i put a graph in there
Step-by-step explanation:
________
[tex] \: [/tex]
Step by step :A.) y = 15
B.) x = -6
Soo, graph in the picture!
Solve the following quadratic by
completing the square.
y = x2 - 6x + 7
Answer:
x = 5 or x = 1
Step-by-step explanation:
x² - 6x + 7 = 0
x² - 6x = -7
x² - 6x + 9 = -7 + 9 1/2 of the x term than square it and add it the both sides.
(x - 3)(x - 3) = 2
( x -3)² = 2
[tex]\sqrt{(x - 3)^2[/tex] = [tex]\sqrt{2}[/tex]
(x - 3) = ± 2
x - 3 = 2 or x - 3 = -2
x = 5 or x = 1
