Answer:
(x-3)^2 - 8, so a is 3 and b is 8
Step-by-step explanation:
use completing the square
hope this works :)
Try Again
Your answer is incorrect.
Pablo reads a book at a rate of 16 chapters per hour.
How many chapters does he read in 4 hours?
4 chapters
8 08
X
Ś
Answer:
64
Step-by-step explanation:
16 chapters per hour times 4 hours is 64 chapters
the values listed in the csv filewaitingtimesare waiting times (in minutes) ofcustomers at the bank a, where customers enter a single waiting line that feedsthree teller windows. construct a 95% confidence interval for the populationstandard deviationσ.
The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
What does the population mean in terms of standard deviation?A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.
According to the given data:Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}
Sample size n = 10
Applying chi-square statistics with df=n-1=9-1=8
now 95% confidence interval is given by:
= [tex]\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}[/tex]
= [tex]\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}[/tex]
= 0.107 ≤ σ² ≤ 0.757
= 0.33 ≤ σ ≤ 0.87
The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
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I understand that the question you are looking for is:
The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.
6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7
someone help please<3
Answer:
subduction zones <3333
PLEASE HELP‼️For each direct variation, find the constant of variation. Then find the
value of y when x = -5.
y = -5 when x = 3
Answer: For each direct variation, find the constant of variation. Then find the value of $y$ when $x=-5 .$
$y=-\frac{2}{3}$ when $x=-\frac{1}{3}$
Step-by-step explanation:
Let f(x)=|x|-3 write a function g whose graph is a translation 5 units down of the graph of f
If the function is translated 5 units down of the graph of f, the resulting function will be g(x) =. |x|-8
Translation of functionsTranslation is the technique that is used to change the position of a figure on an xy-plane.
For instance, if the function f(x) is translated k units down the graph, the resulting function will be g(x) = f(x) - k
Given the function f(x)=|x|-3, if the function is translated 5 units down of the graph of f, the resulting function will be;
g(x) = f(x) - 5
g(x) = |x|-3 - 5
g(x) =. |x|-8
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the length of an arc of a circle is 269πcentimeters and the measure of the corresponding central angle is 65∘. what is the length of the circle's radius?
The length of the circle's radius = 744.92 cm
Given the length of arc of a circle, arc length = 269π cm
Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.
The corresponding central angle = 65°
To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians
We have, arc length of a circle = radius x central angle
Therefore, radius of the circle = arc length / central angle
= 269π /(13π/36)
= 744.92 cm
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The angle below is the image formed when a figure containing nop is dilated by a scale factor of 2. what is the measure of nop?
The measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .
We are given the dilated angle as:
∠ NOP = 112°
The scale factor for dilation is given as 2.
Now, we need to find the value of actual angle NOP.
For this, we will divide the dilated angle NOP with the scale factor of dilation.
So, we will get the result as:
Actual ∠ NOP = 112° / 2
Actual ∠ NOP = 56°
Therefore, we get that, the measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .
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Write an equation and
Isolve for x if the area
of the rectangle is 70
square units.
The linear equation for the area is:
40 = 7*(x + 4)
The solution is x = 1.71 = x
How to write and solve the equation?Remember that for a rectangle of length L and width W, the area is:
A = L*W
In this case, we can see that:
W = 7
L = x + 4
A = 70
Replacing that, we can get the linear equation:
40 = 7*(x + 4)
Now we can solve this, we jus need to isolate x.
40/7 = x + 4
40/7 - 4 = x
5.71 - 4 = x
1.71 = x
The solution is x = 1.71 = x
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What equation is equivalent to the equation 5x + 30 = 45?
5x+30=45
tkae the 30 to the other side and it becomes
5x=45-30
that gives you 15. then you want to divide 5 by 15
and then that gives you 3
x=3
Hope this helps you!
Samantha works on the weekends doing hair for her classmates.For every head she does ,she charges 26$ complete the table
Answer:
Charge 26, 78, 130, 182, 234
Step-by-step explanation:
If Heads is (1,3,5,7,9) CHARGE and charge is (26,0,0,0,0) if 1 head=26 then you can just multiply or use repetitive addition if you were to multiply do 3x26=78, 5x26=130, 7x26=182, and 9x26=324. If you were to use repetitive addition do 26+26+26=78, 26+26+26+26+26=130, 26+26+26+26+26+26+26=182, and 26+26+26+26+26+26+26+26+26=234.
I hope it helps!
~XxBells is a cute girlxX~
through: (0, -5), slope: 7/3
In the figure below, m44 = 79°. Find m1, m2, and m 3
The angle of m1, angle of m2 and angle of m3 is 101°, 79° and 101° respectively.
It is given that the angle of m4 is 79°.
To find angles m1, m2 and m3 :
As we know that angle m4 is equal to angle m2 (because they are vertically off opposite angle).
So, angle m2 = 79º
In the same manner the angle of m1will be equal to angle m3.
Now, we can see that in the figure the angles m2 and m1 is lying on one plane, and a plane line makes a angle of 180º
So,
m2+m1 = 180º
79º+m1 = 180º
m1 = 180º-79º
Angle m1 = 101º
And, as we can see that the angles m1 and m3 are vertically of opposite angle.
So, m1= m3= 101º
Hence, angle m1=101º,
angle m2= 79º,
And, angle m3=101º.
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5. Which is the vertex of the quadratic function f(x) = 2x² - 4x - 6?
(-1,8)
O (1,8)
O (1,-8)
O(-1,-8)
The given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8). Thus, the correct option is option C.
A quadratic polynomial function is a function which may be written in the form of ax² + bx + c = 0 where a, b and c are coefficients and x is the variable of the function. The quadratic polynomial function forms a parabola when plotted on the graph.
To find the vertex to the quadratic polynomial function we determine the value of x coordinate by the formula (-b/2a) and substitute the value of x in the polynomial function to get the value of y coordinate.
f(x) = 2x² - 4x - 6.
x coordinate = (-b/2a)
x = (4/2×2)
x = 4/4
x = 1
Now, the value of y coordinate = 2(1)² - 4(1) - 6
y = -8.
Thus, the given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8).
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the surface of a solid is 50,682,000 square milliliters. Is the surface area greater than 50 square meters
Answer:
Step-by-step explanation:
One square millimeter converted into square meter equals = 0.0000010 m2 , sq m
1 mm2 , sq mm = 0.0000010 m2 , sq m
Answer:
I think 50,682,000 square milliliters
Step-by-step explanation:
You believe that water boils at 100 degrees Celsius.
Rate each statement below on a scale from best to worst.
a. Your cousin said that he tested the temperature of boiling water and found that it was 100°C.
b. Most people you know believe that water boils at 100°C.
c. You used a thermometer to measure the temperature at which water boiled. You repeated the experiment 3 times. Each time the thermometer read 100°C.
d. You read an article in a science journal from 50 different labs around the world that have tested the temperature of water and found that it boils at 100°C in every location.
BEST EVIDENCE _____, _____, ______, _____ WORST EVIDENCE
Rating each statement below on a scale from best to worst will be:
1. You read an article in a science journal from 50 different labs around the world that have tested the temperature of water and found that it boils at 100°C in every location.
2. You used a thermometer to measure the temperature at which water boiled. You repeated the experiment 3 times. Each time the thermometer read 100°C.
3. Your cousin said that he tested the temperature of boiling water and found that it was 100°C.
4. Most people you know believe that water boils at 100°C.
How to illustrate the information?It should be noted that the science journal will give the most accurate information. Therefore, it's the best.
It should be noted that the fact that most people you know believe that water boils at 100°C doesn't necessarily mean it's correct. It wasn't tested. Therefore, it's the worst.
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What is the greatest common factor of 16 , 24 , 48
Answer:
8
Step-by-step explanation:
The biggest common factor number is the GCF number. So the Greatest Common Factor 16, 24, 48 is 8.
please make my answer as brainelist
kendra reads in modern dog magazine that the average age of dogs currently alive is 4.8 years. to determine if this finding applies to the customers in her pet store, kendra surveys every fifth customer in her store who owns a dog and asks the age of their dog. she collects data for seven weeks and obtains the following averages
Kendra's samples are precise but not accurate.
The results are as follows: 3.7, 3.8, 4.2, 4.1, 3.9, 3.9, and 4.0.Precision refers to how near or far apart the measurements are.The sample is precise since the values are close to each other.The sample mean is the sum of values divided by the number of values.The sample mean is (3.7 + 3.8 + 4.2 + 4.1 + 3.9 + 3.9 + 4.0)/7.The sample mean is 27.6/7.The sample mean is 3.94.Accuracy refers to how close or far a particular collection of measurements is to its real value.But since the sample mean is farther from 4.8, it is not accurate.To learn more about precision, visit :
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the graph of the parabola y=1/4(x+2)^2-6 is shown on the coordinate plane below according to the graph for which values of x is y always positive ?
Answer: x∈(-∞,-2√6-2)U(2√6-2,+∞)
Step-by-step explanation:
[tex]\displaystyle\\y=\frac{1}{4} (x+2)^2-6\\y > 0\\Hence,\\\frac{1}{4}(x+2)^2-6 > 0 \\\\\frac{1}{4}(x+2)^2-6+6 > 0+6\\\\\frac{1}{4}(x+2)^2 > 6\\[/tex]
Multiply both parts of the equation by 4:
[tex](x+2)^2 > 24[/tex]
Extract the square root of both parts of the inequality:
[tex]|x+2| > \sqrt{24} \\|x+2| > \sqrt{4*6} \\|x+2| > 2\sqrt{6}[/tex]
Expand the modulus - we get a set of inequalities:
[tex]\displaystyle\\\left [{{x+2 > 2\sqrt{6}\ \ \ \ (1) } \atop {-(x+2) > 2\sqrt{6} \ \ \ (2)}} \right.\\[/tex]
Multiply both parts of inequality (2) by -1 and reverse the sign of the inequality:
[tex]\displaystyle\\\left [ {{x+2-2 > 2\sqrt{6}-2 } \atop {x+2 < -2\sqrt{6} }} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x+2-2 < -2\sqrt{6} -2}} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x < -2\sqrt{6}-2 }} \right.[/tex]
Thus,
[tex]x\in(-\infty,-2\sqrt{6}-2)U(2\sqrt{6} -2,+\infty)[/tex]
f(x)=3-2x g(x)=x+1\4 find fg(x) note: 4 is denominator for x+1
Step-by-step explanation:
you can ask questions for clarification
The line with slope of - 2/5 passing through the point (-1,-1)
ill give you crown if you answer this right btw its a fraction
Answer:
3/1
Step-by-step explanation:
Beginning from 10, you count upward until you come across a point that's directly underneath a number to the x-axis.
In this case, you'd go upward 3 times, locating the y-axis at 30.
Then you would go either left or right and count how many times you do that.
In this case, you'd go right 1 time, locating the x-axis at 10.
Hence, the slope would be rise over run, or y over x.
In this case, the slope would be 30/10.
To simplify that, it would be 3 over 1.
To simplify it even more, it would just be 3.
Hope this helps.
A candle is 20 in. tall after burning for 3 hours. After 5 hours, it is 19 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.
[tex]\begin{array}{ccll} \stackrel{hours}{t}&\stackrel{height}{h}\\ \cline{1-2} 3&20\\ 5&19 \end{array}[/tex] with those values provided from the table, let's get its equation
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{20})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{19}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{19}-\stackrel{y1}{20}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{19 -20}{5 -3} \implies -\cfrac{ 1 }{ 2 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{20}=\stackrel{m}{-\cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{3}) \implies y-20=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2} \\\\\\ y=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2}+20\implies y=-\cfrac{ 1 }{ 2 }x+\cfrac{43}{2}\implies \LARGE \begin{array}{llll} h=-\cfrac{ 1 }{ 2 }t+\cfrac{43}{2} \end{array}[/tex]
how talll will the candle be after 8 hours? namely when t = 8.
[tex]h=-\cfrac{ 1 }{ 2 }(8)+\cfrac{43}{2}\implies h=-4+\cfrac{43}{2}\implies h=\cfrac{35}{2}\implies \LARGE \begin{array}{llll} h=17\frac{1}{2} \end{array}[/tex]
Put the images below according to the sequence that the solar system formed. The last one is done for you.
Step-by-step explanation:
1. Cloud of Dust and gas
2. solar system formation
3. spinning disc
4. early solar system today
43.3(blank) subtract 12.82 I’m giving off 20 points for this
On subtracting 12.82 from 43.3 we get 30.48 as answer.
How to subtract decimal numbers?
Write down decimal numbers such that the number from which you have to subtract is written first and number which you have to subtract from the fist number is written just below it such that the decimal is just lined below another decimal
For example if we have to subtract 4.2 from 12.8
we write it like 1 2 . 8
- 0 4 . 2
______
0 8 . 6 and the starting from right start subtracting
Given 43.3-12.82
4 3 . 3 0
- 1 2 . 8 2
_______________
3 0 . 4 8
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I'll give brainliest!!!
Answer in the picture !!!
Please Help!!! Quickly as possible will mark brainliest!!
Answer:
(0,5)
Step-by-step explanation:
Select a number to make the following statement true.
0.07 is 10 times as great as
A. 0.1
B. 0.7
C. 0.001
D. 0.007
Answer:
D
Step-by-step explanation:
a×10=0.07
a=0.07/10
=0.007
Answer:
D
Step-by-step explanation:
0.007 if you multiply this by 10 you move the decimal one place to the right, t hat would be 0.07
-39 * 99 = ? Solve the question using distributive property.
Step-by-step explanation:
39× 99
= -39×(100 - 1)
= (-39×100) - (-39 × 1)
= -3900 + 39
= -3861
Answer:
-3751
Step-by-step explanation:
you multiple times to the /number
Succotash is made by combining corn with lima beans and costs $1.00 per pound.
If lima beans cost $1.10 per pound and corn costs $.60 per pound, how many pounds of each should be used to make 5 lb of succotash?
Answer:
1 lb corn and 4 lb lima beans
Step-by-step explanation:
Let x = weight of corn.
Let y = weight of lima beans.
x + y = 5
0.6x + 1.1y = 5
x = 5 - y
0.6(5 - y) + 1.1y = 5
3 - 0.6y + 1.1y = 5
0.5y = 2
y = 4
x + y = 5
x + 4 = 5
x = 1
Answer: 1 lb corn and 4 lb lima beans
Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?
The Surface area to be painted = 512 ft²
What is the Surface Area of a Rectangular Prism?The surface area of a rectangular prism = 2(w × l + h× l + h × w). Where:
w = width of the rectangular prism
h = height of the rectangular prism
l = length of the rectangular prism
The block column has a shape of rectangular prism. Therefore, the surface area that Richard needs to paint which excludes the bottom of the block = 2(w × l + h× l + h × w) - l × w.
l = 10 fth = 12 ftw = 8 ftPlug in the values
Surface area to be painted = 2(8 × 10 + 12 × 10 + 12 × 8) - 10 × 8
Surface area to be painted = 592 - 80
Surface area to be painted = 512 ft²
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