Let
[tex]x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}[/tex]
Then
[tex]x = 6 + \dfrac1{2 + \dfrac1x}[/tex]
and solving for x gives
[tex]x = 6 + \dfrac x{2x + 1}[/tex]
[tex]x = \dfrac{13x + 6}{2x + 1}[/tex]
[tex]x(2x+1) = 13x + 6[/tex]
[tex]2x^2 + x = 13x + 6[/tex]
[tex]2x^2 - 12x - 6 = 0[/tex]
[tex]x^2 - 6x - 3 = 0[/tex]
By the quadratic formula,
[tex]x = 3 \pm 2\sqrt{3}[/tex]
but x must be a positive number, so only the positive square root solution is valid.
[tex]x = 3 + 2\sqrt{3}[/tex]
We identify a = c = 3 and b = 2, so a + b + c = 8.
A father and his young toddler are walking along the sidewalk. For every 3 steps
the father takes, the son takes 5 steps just to keep up. What is the ratio of
the number of steps the father takes to the number of steps the son takes? Add
labels to the columns of the table and place the ratio into the first row of
data. Add equivalent ratios to build a ratio table.
Answer:
Ratio 5:3
Step-by-step explanation:
5:3 equivalent fraction are 10:6, 15:9
Plz hurry and DONT give me a link
The point (-5, 6) is located in which quadrant?
8
6
4
ND
2
-9 -6 -4
-4-2
2
4
8 8 x
-4
-6
-8
O Quadrant !
Quadrant Il
0 Quadrant III
Quadrant IV
Answer:
Quadrant II
Step-by-step explanation:
(-5,6)
The x coordinate is negative so the quadrant is either 2 or 3
The y coordinate is positive so the quadrant is either 1 or 2
To make both happen, it must be in quadrant 2
Quadrant II
Review
Directions: What does each of the following mean? Write out in words and phrases.
Example: 7 - 12 means: seven minus twelve
1. 11 + t
2. 7rst
3. t - 17
4. (10)(n)
5. 15 * y
6. 4x
7. a + b
8. 14x + 3y
Answer:
1. Eleven plus t
2. 7 times r times s time t
3. t minus seven
4. ten times n
5. fifteen times y
6. four times x
7. a plus b
8. fourteen times x plus 3 times y
Step-by-step explanation:
Hope this helps!
Answer:
1, eleven plus t
2, seven rst
3,t-17
........................
Multiply or divide. write fractions in simplest form.
2/3 * (-2 1/4) * (-1 1/2)
i really need help with this problem! i will mark you brainliest :)
Step-by-step explanation:
Okay so, let's turn these into decimals first (rounded to nearest 2 thousandths).
2/3 = 0.66666 (repeating), to the nearest 2 thousandths would be 0.66.
-2 1/4 = -9/4 = -2.25
-1 1/2 = -3/2 = -1.5
then we set up the problem
0.66 × -2.25 × -1.5 = 2.2275 rounded 2.22 as an improper fraction 111/50 and that cannot be simplified any smaller.
What is the simplified form of the fraction below?
30
*
O A.
OB.
C.
olo
D.
لا اعر
Answer:
A. 30÷6 = 5
24÷6=4
=4/5.
Step-by-step explanation:
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a dance club had 3 times as many members as an art club. The art club has 3598 fewer members than the dance club. How many members did the art club have? show bar graph
Answer:
1799 members in the art club i think but i don't have a bar graph
Step-by-step explanation:
^^
Work out the area of a rectangle with base, b = 5.3mm and height, h = 4mm.
Answer:
21.2 mm²
Step-by-step explanation:
Area of rectangle = base x height.
A(r) = b x h
Plug in the corresponding numbers to the corresponding variables:
A(r) = 5.3 x 4
A(r) = 21.2
21.2 mm² is your answer.
What are the zeros of the following function?
Answer:
Hence , (a,0) is a zeros of a function
find the sum of 6/12+1/2
Answer:
1
Step-by-step explanation:
[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]
bru,h does anyone know this?
Answer:
The width is 410ft and the length is 780ft
The price was reduced from two thousand, four hundred ninety-eight dollars to one thousand, nine hundred ninety- nine dollars. By how much was the price reduced?
Answer:
$499
Step-by-step explanation:
Since the price was reduced from an amount which is $2,498. You have to take that amount and the other amount which is $1999 and subtract them both.
2489-1999=499
(When you get your answer,make sure to add the dollar sign.)
The price was reduced by $499.
A racing car consumes a mean of 85 gallons of gas per race with a standard deviation of 7 gallons. If 39 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 3 gallons
Answer:
33.20% probability that the sample mean would differ from the population mean by greater than 1 gallon
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
2x-32=12
means they spent how much
Answer:
22
Step-by-step explanation:
Solve the right triangle. a = 2.2 m, B = 37.7°, C = 90° 4) A) A = 52.3°, b = 0.6 m, c = 2.3 m B) A = 52.3°, b = 1.7 m, c = 2.8 m C) A = 52.3°, b = 3.2 m, c = 3.9 m D) A = 52.3°, b = 3.2 m, c = 2.8 m
Answer:
B) A = 52.3°, b = 1.7 m, c = 2.8 m
Step-by-step explanation:
We know that it is a right angle triangle because C = 90°
because of that we can do 180 - 90 + 37.7
which is a=52.3
Because it is a right angle triangle, we can use sin, cos,tan
I will use sin to find the side of c
2.2 is a
sin 52.3 = 2.2/x
x= 2.2/ sin 52.3
x=2.78
You could do cos or tan but the pythagorean theorem for me is much faster
so it looks like this, a^2+b^2 =c^2
in this case we have both a and c we want b
so we rearrange
c^2-a^2=b^2
2.78^2-2.2^2= b^2
[tex]\sqrt{2.89}[/tex]=b
1.7=b
therefore it would be this option B) A = 52.3°, b = 1.7 m, c = 2.8 m
Answer this problem y =-7/5x-1/5
Step-by-step explanation:
y=-7/5x-1/5
=-7×5/5x-1
=-35/5x-1
cite a real life situation that describes the concept of direct and inverse variation. create your own word problem and answer it. present your answer with table of values, graph and equation
A need a appropriate answer, thanks...
Step-by-step explanation:
An example of direct variation would be the relationship of distance with time when speed is constant.
d = stLet's assume you travel at the speed of 60 mph. The distance at 0, 0.5, 1, 2 hours would be 0, 30, 60, 120 miles.
d = 60tThis is a linear relationship and produces a graph of line.
See the graph.
--------------------
An example of inverse variation would be the time to complete the same work as number of workers increase.
t = w/p, where w is work (constant), p- number of workersAssume 5 workers complete wok in 20 days, 10 workers do same in 10 days, 20 workers do in 5 days.
t = 100/pThis relationship produces a curved line.
See the graph.
hint: 180 *
1. Find the missing angle.
29
R
61
T
Answer:
∠ R = 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ R + ∠ S + ∠ T = 180° , substitute values
∠ R + 29° + 61° = 180°
∠ R + 90° = 180° ( subtract 90° from both sides )
∠ R = 90°
Solve algebraically :)
Answer:
x > 4
Step-by-step explanation:
Answer:
should be x > 4
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST
Rico opens an ice cream shop. The function f ff models the shop's net worth (in thousands of dollars) as a function of time (in months) after Rico opens it. Plot the point on the graph of f ff that corresponds to the shop's net worth when Rico opens it.
Answer: -5
Step-by-step explanation:
Based on the graph given, the point that on the graph that corresponds with the shop's net worth when Rico opened it is -5.
What was the shop worth when it was opened?The point that the shop was opened is represented by the value of the y axis when it was first crossed.
Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Rico.
Find out more on quadratic functions at https://brainly.com/question/11631534.
#SPJ2
Jose is 52 inches tall and is growing 0.25 inches each month. Jacob is 54 inches tall and is growing 0.1 inches each month. How many months, x, will it take for Jose to be the same height as Jacob?
Answer:
who measures someone's height in inches
Step-by-step explanation:
the answer is 14
It will take 13.3 months for Jose to be the same height with Jacob.
x = number of month
The height equation for Jose:Jose is already 52 inches tall and growing at 0.25 inches per month. Therefore, his height is represented as follows
h(x) = 52 + 0.25(x)The height equation for Jacob:
Jacob is already 54 inches tall and growing at 0.1 inches per month. Therefore, his height is represented as follows
h(x) = 54 + 0.1xFor both to have the same height,
52 + 0.25x = 54 + 0.1x
52 - 54 = 0.1x - 0.25x
-2 = -0.15x
x = -2 / -0.15
x = 13.3333333333
x = 13.3 months
learn more linear equation here: https://brainly.com/question/19704985?referrer=searchResults
Find the point on the line y=x that is closest to the point (-4,8)
Answer:
(2,2)
Step-by-step explanation:
23 x 5 + 6 x 50 -7 = ?
Answer: Your anwser would be 408 please mark brainliest thank you
Step-by-step explanation:
Answer:408
Step-by-step explanation:
To find the answer, we can use the order of operations ( PEMDAS)
23*5=115
6*50=300
so simplified
115+300-7
add
415-7
subtract
408
so 23*5+6*50-7=408
Pls someone help, and fast
Answer:
So for Shop A 10, a pack of 10 pens is going to be 2.30. To get to 70 pens we must multiply
7x2.30
=$16.10
For Shop B you must first divide
70 divided by 5 = 14 packs of pens in total, divide 14 by 2 because half of the packs will be half off.
so, 7x1.60
=$11.20- then divide 1.60 by 2 = $0.80,
then multiply by 7
=$5.60, then add the the two numbers for Shop B,
$11.20 + $5.60= 16.80
Step-by-step explanation:
So if you buy pens from Shop A you will spend $16.10, If your buying pens for Shop B you will spend $16.80
The difference from buying pens from Shop A and Shop B would be $0.70
What is the net pay for these details?
$764 gross pay
Federal withholding $128
FICA $41.87
State $45.15
Health $19.25
A. $529.73
B. $568.23
C. $658.53
D. $703.77
Answer:
Its a
Step-by-step explanation:
write an absolute value equation representing all numbers x whose distance from 0 is 6 units
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
A study was conducted that measured the total brain volume (TBV) (in) of patients that had
schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal
patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009." 2013). Is
there enough evidence to show that the patients with schizophrenia have less TBV on average than a
patient that is considered normal? Test at the 10% level.
Table #9.3.5: Total Brain Volume (in ) of Normal Patients
1663407 1583940 1299470 1535137 1431890 1578698
1453510 1650348 1288971 1366346 1326402 1503005
1474790 1317156 1441045 1463498 1650207 1523045
1441636 1432033 1420416 1480171
1360810 1410213
1574808 1502702 1203344 1319737 1688990 1292641
1512571 1635918
Table #9.3.6: Total Brain Volume (in) of Schizophrenia Patients
1331777 1487886 1066075 1297327 1499983 1861991
1368378 1476891 1443775 1337827 1658258 1588132
1690182 1569413 1177002 1387893 1483763 1688950
1563593 1317885 1420249 1363859 1238979 1286638
1325525 1588573 1476254 1648209 1354054 1354649
Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a patient that is considered normal, that is, the subtraction is not negative, hence:
[tex]H_0: \mu_S - \mu_N \geq 0[/tex]
At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:
[tex]H_1: \mu_S - \mu_N < 0[/tex]
Regarding each sample, the mean and standard deviation are found using a calculator.
[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]
[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]
We have the standard deviation for each sample, hence, the t-distribution will be used.
The standard errors are given by:
[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]
[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]
The distribution of the difference has mean and standard error given by:
[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]
[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
In which [tex]\mu[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]
[tex]t = -0.47[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]
Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
A similar problem is given at https://brainly.com/question/13873630
plzz help don't understand
Answer:
3b
Step-by-step explanation:
[tex]3\sqrt{b^{2} }[/tex]
= 3b
Pls help me if i got to fimd the quotient and it is due pls help if I got any of them wrong ple put it in the answer NO LINK YA SCAMMERS I don't even have anything for yall to steal from me
Answer:
4.75 divided by 5 =0.95
Step-by-step explanation:
Which relation is not a function?
