(A)
Step-by-step explanation:
To be able to compare the growth rates of these two people, we need to develop an equation to describe Ioana's growth history, just like Valentin did.
Let [tex]P_1(5, 102)[/tex] and [tex]P_2(10, 127).[/tex] Using the equation for the slope of a linear function,
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
and this will represent the growth rate for Ioana. The slope in Valentin's equation also represents the growth rate. Using the values of the points that we picked, we get
[tex]m = \dfrac{127 - 102}{10 - 5} = \dfrac{25}{5} = 5[/tex]
The slope-intercept form of the equation that describes Ioana's growth can be written as
[tex]h_I = 5(a - 5) + b[/tex]
Note that we used (a - 5) instead of the usual variable a because the twins started recording their heights at the age of a = 5. Next, we need to figure out b, essentially Ioana's height at age 5. From the table, we can see that that b = 102. Hence, the equation for Ioana's height is
[tex]h_I = 5(a - 5) + 102[/tex]
Let's compare this with Valentin's equation for his height:
[tex]h_V = 4.5(a - 5) + 104[/tex]
We can see here that the slope for Ioana's equation is larger than Valentin's, which means that Ioana's growth rate is faster than that of Valentin, even though Valentin was taller when they first started.
Does anyone have 9-15?
Name the value of the 9 in the number 36.19
Answer:
Hundredth
Step-by-step explanation:
The value of 9 in the number 36.19 is a hundredth
What is the slope of this line?
Please don’t send a link.
Look at image below
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
Benjamin has a ladder that is 15ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder make with the ground? Show your work.
Answer:
∠ = 66.9°
Step-by-step explanation:
Sin ∠ = opposite/hypotenuse
Sin ∠x = 13.8/15
In the graphing calculator use
[tex]sin^{-1}(13.8/15) = 66.9[/tex]
The angle to the nearest tenth is 66.9 degrees.
In order to determine the angle, the SOCAHTOA notation would be used. The ladder would form a right-angled triangle. we have the value of the opposite and the hypotenuse. So, sine would be used to determine the value of the angle.
Sine = opposite / hypotenuse
[tex]sine^{-1}[/tex] = 13.8 / 15
= 66.9 degrees
A similar question was answered here: rainly.com/question/25627150
Fill in the table according to the following rules.
X: Add 3 to get the next term
Y: Add 2 to get the next term
Generate ordered pairs in the form (x,y) and plot
them on graph paper.
(Please help! I haven’t learned this yet this is a bonus question for our thanksgiving break packet! Btw there are 4 coordinates to be done on the paper, I will mark the correct answer Brainlyest!)
Answer:
the one under 00 for (x,y)
3,2
6,4
9,6
and then you just plot the points on the graph.
Step-by-step explanation:
When y = -20, x = 4.
Find y when x = 7
Answer:
y=-35
Step-by-step explanation:
The relationship between the values of x and y is multiplying by -5.
Therefore, when x equals 7, y is -35.
Just a splendiferous teen,
who listens to "Fight Song,"
stay salty...
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).
47/94 in lowest terms
Answer:
Find the GCD (or HCF) of numerator and denominator. GCD of 47 and 94 is 47.
47 ÷ 4794 ÷ 47.
Reduced fraction: 12. Therefore, 47/94 simplified to lowest terms is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
You just keep simplifying.
Find the GCD of the numerator and denominator. The GCD of 47 and 94 is 47.
47 divided by 4794 divided by 47
Reduced fraction: 12. So 47/94 simplified is 1/2
Evaluate the expression 0.5a - 2b , when a=-5 and b=2
Answer:
-6.5
Step-by-step explanation:
To evaluate the expression we have to substitute a= -5 and b =2.
0.5a - 2b
= 0.5 * (-5) - 2 *2 , first multiply 0.5 *(-5) and 2*2
= -2.5 - 4, subtract (-2.5) and 4
(you can think at this as (- 2.5) +( - 4) because subtraction is just like adding a negative number )
= -6.5
Need help please!!!!!!!
Answer:
yes ASA
Step-by-step explanation:
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
A ratio uses __________ to compare the relative sizes of two quantities.
Answer: two
Step-by-step explanation:
Answer:
A ratio compares the relative sizes of two quantities
Step-by-step explanation:
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.
Any one get this (I need the work) and pls answer A B C D
Answer:
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PLEASE HELP a
23. A cell phone company charges $0.10 per
text message if a customer sends up to 100
messages per month. The company charges
$0.08 per text if a customer sends between
101-200 messages, and $0.06 per text if the
customer sends between 201-300 messages.
Today is the last day of the month. Tamira has
sent 200 text messages, is it worth it for her
to send 1 more text message? Explain.
SEE EXAMPLES 3 AND 4
The rate of the cell phone company is an illustration of a linear equation
It is worth it if Tamira sends an additional message
The parameters are given as:
Rate = 0.10 per message for up to 100 messages
Rate = 0.08 per message from 101 to 200 messages
Rate = 0.06 per message from 201 to 300 messages
If Tamira sends 200 messages, the total charge is:
[tex]\mathbf{Total = 0.08 * 200}[/tex]
[tex]\mathbf{Total = \$16}[/tex]
If Tamira sends an additional message to make it 201 messages, the total charge is:
[tex]\mathbf{Total = 0.06 * 201}[/tex]
[tex]\mathbf{Total = \$12.06}[/tex]
By comparison.
$12.06 is less than $16
This means that she spends less is she sends 201 messages.
Hence, it is worth it if Tamira sends an additional message
Read more about linear equations at:
https://brainly.com/question/11897796
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
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)
Please helpp :(
no links
Answer:
40
Step-by-step explanation:
Divde the figure into three different rectangles. Find the area of each rectangle and add it all together.
5 = x-(-10))
Pls help
5 = x - (-10)
5 = x + 10
5 - 10 = x
-5 = x
______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Answer:
x=-5
Step-by-step explanation:
Multiply the numbers
5=x-1(-10)
5=x+10
Subtract 10 from both sides of the equation
5=x+10
5-10=x+10-10
Solution
x=-5
Suppose that the function f:[a,b]-->R is bounded and that it is continuous except at one point x_0 in the open interval (a,b). Prove that f:[a,b]-->R is integrable.
Answer:
Step-by-step explanation:xn − xn−1 + xn−1 − xn−2 + ··· + x2 − x1 + x1 − x0. = xn − x0. = |I|. Suppose that f : [a, b] → R is a bounded function on the compact interval.
A car is traveling at a constant speed of M miles per hour. Which coordinate is
represented on the graph?
The cordinate of a car driving at M miles per hour on a graph is ( 1, M)
What is cordinate?Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
The cordinate of a point Q is represented by
Q( a, b) where a is the cordinate on x axis and b is the cordinate on y axis.
For example is a point B is located on a plane as ;
B( 2,3) , the 2 is the value on x axis and 3 is the value on y axis.
Therefore, For a speed of a car of M miles in 1hr, then
Speed = distance /time
This means on the graph , M will be on y axis and 1 hrs will be on x axis.
Therefore the cordinate of the speed of the car is
( 1, M)
learn more about coordinates from
https://brainly.com/question/17206319
#SPJ1
Solve the equation: -42 + w = 5
Hey there!
-42 + w = 5
w - 42 = 5
ADD 42 to BOTH SIDES
w - 42 + 42 = 5 + 42
CANCEL out: -42 + 42 because it gives you 0
KEEP: 5 + 42 because it helps you solve for the w-value
NEW EQUATION: w = 5 + 42
SIMPLIFY IT!
w = 47
Therefore, your answer is: w = 47
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
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
which graph shows the asymptotes of the function f(x)=4x-8/2x+3
Answer:
Vertical asymptotes: x = -3/2
Horizontal asymptotes: y = 2
(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.
Please help me
Will give brainly if you answer the question
Answer:
For 30. the answer is D. For 31 the answer is B
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!
what is 90oz = __lb __oz
Answer: 90 ounces would equal to 5.625 pounds
Step-by-step explanation:
Please help me
I will give you brainly only if you answer the question
Thank you
Answer:
C, any real number
Step-by-step explanation:
-3(4z + 2) < -6(2z - 6)
(-12z - 6) < (-12z + 36)
We can remove -12z from both sides.
-6 < 36
Answer:
30) C
Step-by-step explanation: