Answer:
6
Step-by-step explanation:
Factor the numerator, difference of squares
[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )
= x + 3
limit as x → 3 = 3 + 3 = 6
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
What is the surface area of a storage box that measures 17 centimeters by 14 centimeters by 12
centimeters?
The area of the storage box is
square centimeters.
Answer:
1220cm²
Step-by-step explanation:
Given :
Lenght, l = 17 cm
Width, w = 14 cm
Height, h = 12 cm
Surface area = 2(lw + lh + wh)
Surface area = 2[(17*14) + (17*12) * (14*12)]
Surface area = 2(238 + 204 + 168)
Surface area = 2(610)
Surface area = 1220cm²
can someone please help me on this!!
Answer:
read.....
Step-by-step explanation:
PLEASEEEE HELP ASAP ❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️
Sarah is self-publishing her 300-page novel and wants to estimate the printing costs.
She looks up printing costs for other paperback books and plots the number of pages (x)
against the cost (y) in dollars.
Answer the questions to estimate the cost of printing a 300-page paperback book.
1. What is the y-intercept for the trend line? What is the real-world meaning of this point?
2. One point on the trend line is (200,6). Using this point in the Y intercept, find the slope of the trend line. Show your work.
3. What is the real-world meaning of the slope?
4. Use the slope and y-intercept to write an equation for the trend line in the slope-intercept form.
5. Use your equation to estimate the cost of printing Sarah’s 300-page book
Answer:
1. Y-intercept b=5
That means it has a 5.00 starting fee.
2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.
Point one (X1 and Y1) will be the Y-intercept.
X1,Y1 = (0, 5.00)
Point 2 (X2 and Y2) will be the point on the trend line.
X2, Y2 = (200, 6.00)
Plug in:
(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.
3. When printing 200 pages each page will cost $.005.
4. .005x+5
5. .005x+5
.005(300)+5=6.5
good luck♡♡!!
Step-by-step explanation:
The estimated cost of printing Sarah's 300-page book is $6.50.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The y-intercept for the trend line is the value of y when x is equal to zero, which is 5.
The real-world meaning of this point is the fixed cost or base cost of printing a book, which includes expenses like labor, equipment, and materials that are not dependent on the number of pages in the book.
We are given one point on the trend line, (200,6), and the y-intercept is (0,5). So, we can substitute these values in the formula:
slope = (6 - 5) / (200 - 0) = 0.005 or 1/200
The real-world meaning of the slope is the variable cost per page, which represents the additional cost of printing each page beyond the fixed cost.
In this case, the slope of 0.005 means that it costs $0.005 or half a cent to print each additional page.
Using the slope-intercept form, the equation for the trend line is:
y = mx + b
where m is the slope and b is the y-intercept. Substituting the values we obtained in steps 1 and 2, we get:
y = 0.005x + 5
To estimate the cost of printing Sarah's 300-page book, we substitute x = 300 in the equation:
y = 0.005(300) + 5 = 6.5
So, the estimated cost of printing Sarah's 300-page book is $6.50.
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ2
a stadium shaped like a hemisphere with a radius of 150 feet. last month the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. what was the total cost for utilities last month
The formula for volume of a hemisphere is: V = 2/3 * π * r³
Volume = 2/3 x 3.14 x 150^3
Volume = 7,065,000 cubic feet.
Multiply the cost per cubic foot by the volume:
7,065,000 x 0.05 = 353,250
The total cost was $353,250
what is y- intercept of y=-3x+5?
Answer:
y=−1/3 y+5/3
Step-by-step explanation:
PLS BRAINLIEST
ill tell you all the 4 math algebra calculators if you do
Solve for X.
3x – 1 = 2x – 1
(please help! I'm confused on the last step.)
Answer:
Step-by-step explanation:
6x2 + x − 1
What type of correlation exists between the temperature and the number of fruit bars sold? What is the real-world meaning of the slope of the line of best fit for the given scenario? There are approximately more fruit bars sold for every degree(s) the temperature rises
Answer:
There's no figure, but okay! The type of correlation that exists between the temperature and the number of fruit bars sold is a positive correlation.
The real-world meaning of the slope of the line of best fit for the given scenario is that: As the temperature increases, so too does the number of fruit bars sold.
I hope that helps you!! ^-^
Answer:
What type of correlation exists between the temperature and the number of fruit bars sold?
✔ positive
What is the real-world meaning of the slope of the line of best fit for the given scenario?
There are approximately ✔ 2.2 more fruit bars sold for every ✔ 1 degree(s) the temperature rises.
Step-by-step explanation:
got it right in edg 2021, hope this is of help :)
Quadrilateral BCDE is inscribed in circle A. ∠ and ∠ measure 70.85° and 78.03°, respectively.
Determine the measure of ∠ .
Answer:
∠ DEB = 101.97°
Step-by-step explanation:
BCDE is a cyclic quadrilateral, whose opposite angles are supplementary, so
∠ BCD + ∠ DEB = 180°, that is
78.03° + ∠ DEB = 180° ( subtract 78.03° from both sides )
∠ DEB = 101.97°
What is the slope of the line through the points (-4, 2) and (-16, -6)?
Answer:
m=2/3
Step-by-step explanation:
Item 3
The length of a field measures 3.5 miles.
What does the length of the field measure in feet?
13,200 ft
15,840 ft
18,480 ft
21,120 ft
Answer:
The answer is 18,480
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
Answer:
What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120
Step-by-step explanation:
helppppppppppppppp plsssssssssssssssss
Answer: 41, think of PEMDAS while reviewing. Good luck!
Step-by-step explanation:
80 + 6(-5) + (-9)
80 + (-30) + (-9)
80 + (-39)
= 41
Please answer both it will really help
lol, I'm just kinda slow.
Answer:
understandable
Step-by-step explanation:
Jazzy has put $375 into her saving account. To do this she made 15 deposits of the amount. Let m represent the amount of money deposit each time Using the variables defined above, write an equation that describe the situation above
Answer:
Jazzy did 15 deposits of $25
Step-by-step explanation:
We know that Jazzy has deposited $375 in 15 deposits of m.
Then we must have that 15 times m is equal to $375, this can be written as:
15*m = $375
Now we can solve this for m, if we divide both sides by 15 we get:
(15*m)/15 = $375/15
m*(15/15) = $375/15
m = $375/15 = $25
Tjos ,eams tjat Jazzy did 15 deposits of $25.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
Hello There!
so
y = -5x^2 + 8x +4
where y = height of ball and x = seconds after ball was thrown
The plus 4 is the y intercept and because y equals height of ball the 4 would represent the height that the ball was thrown at
~TheMathWiz
Answer:
It is C
Step-by-step explanation:
A: Find the area of the shaded sector 100° 7 cm
Answer:
Radius of the circle, r = 8.91 cm
Angle, 0 = 81*
Step-by-step explanation:
f(x) =5x+8, g(x) = 2^2-1
Answer:
Step-by-step explanation:
f(g(x) ) = 5(g(x)) +8
=5(3)+8
=15+8
=23
g( f(x) ) = 3(f(x))
=3(5x+8)
=15x +24
:)
I need help with another question plsss i’m on question 6 & i need help w my next one :((
X°= 89°
X is parallel to the other side so it would be equivalent to the same thing as the top number
Answer:
x=89 grades or 99 grades.
g[ x]=x^2-8x-20
is it 2 solutions
1 solution or 2 imaginary solutions
2 solutions
Step-by-step explanation: Discriminant D = √(-8²-4·1·(-20) =√(144)
Because D> 0, there are 2 roots
Which is a diagonal through the interior of the cube?
. A soccer ball manufacturer claims the diameters of their ball have a standard deviation of 2 mm when properly inflated. Based on a random sample of 10 balls you find a standard deviation of 3.2 mm. Does the sample suggest the standard deviation is higher than that claimed by the manufacturer?
Answer:
Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer
Step-by-step explanation:
Sample standard deviation, s = 3.2
Population standard deviation, σ = 2
Defining the Null and alternative hypothesis :
H0 : σ = 2
H1 : σ > 2
The test statistic :
Use the Relation :.
[(n - 1)*s²] ÷ σ²
[(10 - 1) * 3.2²] ÷ 2²
(9 * 10.24) ÷ 4
92.16 ÷ 4
= 23.04
We obtain the Pvalue for the distribution :
Using the Pvalue from Chisquare distribution calculator :
Pvalue(Chisquare score, df)
df = n - 1 = 10 - 1 = 9
Pvalue(23.04, 9) = 0.006107
Decision :
If Pvalue is < α ; Reject H0 ; α = 0.05
0.006107 < 0.05 ; We reject H0
Help pls?????????????????
Answer:
y=-3x-2
Step-by-step explanation:
Find the slope by picking 2points. I did (3,-3) and(0,-2) for instance and you use the y-y/x-x formula to find the slope 0-3/-2+3=-3 and the y intercept, which is -2 was found because it is the y value that corresponds to a 0 in the x.
HHHHHHHHHEEEEEEEEEELLLLLLLLLLPPPPPPPPP ILL FAIL MY CLASSSSSSSSSSSSSS
for number 4 because it has select, the select are
first one under C) 66, 64, 67, 65
under B) 24, 23, 26, 25
under A) 15, 16, 17, 18
lowest under C) 40, 41, 42, 39
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also this one: Which of the following represents a Pythagorean Triple?
Group of answer choices
{21, 72, 75}
{11, 45, 60}
{5, 7, 10}
{10, 20, 30}
Answer:
I think the answer is {10,20,30} but please check it
Answer:
I only know the first one for right now and the answer is 17
Step-by-step explanation:
You got to find the value of x in the figure
To do that, you have to apply Pythagorea theorm: hyp^2=a^2+b^2. where a and b are legs of the triangle. Hyp=hypotenuse. So in conclusion you have this: x^2=8^2+15^2
x^2=64+225
x^2=289
Then it's x= 289 like this
[tex] \sqrt{289} [/tex]
Which gives you the answer 17
Let me know if this helps
Help!! X= what!? Any idea
Answer:
X= 0 and -4
Step-by-step explanation:
Would the answer be 550.25?
Answer:
44
Step-by-step explanation:
she set aside $44 for vacation
pls brainliest btw
Calculate the expression using the distributive property.
Show your work!
3(5-2) + 7
PLS HELP FAST 15 PTSSS
Answer:
16
Step-by-step explanation:
3 x 5 - 3 x 2 + 7 =
15 - 6 + 7 =
9 + 7 =
16
Hope that helps!
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below.
300 mm
200 mm
50 mm
Complete question :
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.
Answer:
12500 mm²
Step-by-step explanation:
The front face of the mode consista of both triangle and rectangle
Area of rectangle :
Height * Base
Height = 200 m ; Base = 50
Area = 200 m * 50 m = 10,000 mm²
Area of triangle :
1/2 * base * height
1/2 * 50 * (300 - 200)
1/2 * 50 * 100
= 2500 mm²
Area of front face = Area of rectangle + Area of triangle
Area of front face = (10,000 + 2500) m²
Area of front face = 12500 mm²
Write an equation in point-slope form of the line that passes through the point (2, -8) and has a slope of 4. The equation is y- __=__(x-__).
Answer:
The equation is [tex]y-(-8) = 4(x-2)[/tex].
Step-by-step explanation:
The point-slope form of a line is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. In order to write an equation of a line in point-slope form, we would need to substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope of the line, substitute 4 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (2,-8) in the formula as well. Substitute 2 for [tex]x_1[/tex] and -8 for [tex]y_1[/tex]. This results in the following equation and answer:
[tex]y-(-8) = 4(x-2)[/tex]
(Usually, we would simplify the double negatives on the left side to a positive, but because you have to type the values in to answer the problem and cannot change the written negative sign already visible in the equation, that would be the answer. I believe you can just type in -8 for the first box.)