Challenge time! Isn't time to give your brains a break? Its a fun challenge! EARN 20 POINTS NOW
Answer:
The answer is 64
Step-by-step explanation:
If you find this answer helpful pls mark it the brainliest answer
it's easy 64 the key is in the pic.
Use Newton’s Method with initial approximation x1=1 to find x4, the third
approximation to the root of the equation x3+3x+sin(x)=5. What is the result?
Let [tex]f(x) = x^3 + 3x + \sin(x) - 5[/tex]. Using Newton's method to approximate a solution to [tex]f(x) = 0[/tex], we consider the recurrence
[tex]\begin{cases} x_1 = 1 \\ x_{n + 1} = x_n - \frac{f(x_n)}{f'(x_n)} & \text{for } n \ge 1 \end{cases}[/tex]
Differentiating [tex]f(x)[/tex] gives
[tex]f'(x) = 3x^2 + 3 + \cos(x)[/tex]
Then
[tex]x_2 = 1 - \dfrac{f(1)}{f'(1)} = 1 + \dfrac{1 - \sin(1)}{6 + \cos(1)} \approx 1.024238790[/tex]
[tex]x_3 = x_2 - \dfrac{f(x_2)}{f'(x_2)} \approx 1.024009549[/tex]
[tex]x_4 = x_3 - \dfrac{f(x_3)}{f'(x_3)} \approx \boxed{1.024009528}[/tex]
which agrees numerically with the actual root of [tex]f(x)[/tex] up to at least 9 digits after the decimal point.
Urgent!!!
Use the Law of Sines to find all missing sides and angles of the following triangle (side b, side
c, and angle C). Approximate your answers to the nearest tenths. a = 35.0 km, A = 13.0°, B =
65.3°
Answer:
A = 13 degrees
B = 65.3 degrees
C = 180 - (13 + 65.3) = 101.7 degrees
Side a = 35 km
Side b = 141.4 km
Side c = 152.4 km
Which expression is to equivalent to....
Answer:
B.) 2x¹⁰y¹²
Step-by-step explanation:
To begin, because all of the terms in the top and bottom are combined (right next to each other being multiplied), the coefficients can be divided like any normal number. When you divide variables with powers, you need to subtract the denominator powers from the numerator powers.
Therefore,
60 / 30 = 2
x²⁰ / x¹⁰ = x²⁰ ⁻ ¹⁰ = x¹⁰
y²⁴ / y¹² = y²⁴ ⁻ ¹² = y¹²
Combined, the simplified expression is 2x¹⁰y¹².
If g(x) = 2^x were shifted 7 units to the right and 3 units down, what would be the new equation?
H(x) = 4(x - 7)^2 - 19
Hope you find it usefull
Daniel plays a shooting game in a funfair. He needs 48 points to get a skateboard. Each shot that hits the target will be given 6 points while 4 points will be deducted for every failed attempt. Daniel has already failed in three attempts. how many shots that are needed to hit the target for him to win the skateboard. (the answer is 10 points but can someone please tell me how to do it and pls explain why)
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1. Which graph describes the relation {(1, 2), (1, -2), (−1, 2), (-2, 0)}?
Answer:
The first graph
Step-by-step explanation:
The second graph does not have a point at (1, -2).
i give brainliest to first person who gets it correct
Answer:
(-4,-3)
Step-by-step explanation:
The point where those 2 equations intersect is (-4,-3)
Please help!!! I will give 20 points to the correct answer!! Thanks so much
Answer:
either it's 7 and 3 but not sure
Step-by-step explanation:
7x3 =21
now for the negative -10 it would basically be -7+-3=-10
If the cost, C, for manufacturing x units of a certain product is given by C=x²-10x+65, find the number of units manufactured at a cost of $12,140.
There are_____manufactured at a cost of $12,140.
Answer:
115
Step-by-step explanation:
You solve this by factoring.
12140 = x^2-10x+65
0 = x^2-10x-12075
0=(x+105)(x-115)
The only positive solution is x=115
If each pound of beef costs $3.69, how much does 2 pounds cost? Round to the nearest cent.
Answer: Two pounds of beef costs $7.38.
Step-by-step explanation:
Multiply the cost for one pound by the amount of pounds you need.
$3.69×2=$7.38
I hope this helps!!
determine weather y varies directly with x. if so find the constant of variation and write the equation
This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality. The correct option is B.
What is the directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called the constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
Since the graph of the equation is a line, therefore, it can be concluded that the relationship is linear as a result y varies directly with x.
Therefore we can write the relationship as,
y ∝ x
y = k x
The line goes through the point (-2,3), thus, substitute the points in the equation formed above,
3 = k × (-2)
k = -3/2
Now, substitute the value of k in the equation,
y = -(3/2)x
Hence, the correct option is B.
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can you do this because it is confusion the thing is y=mx+c
y=[tex]\frac{1}{2}[/tex]x+0.5
Hope it helps!
Find the next number in the sequence: 10, 37, 82, 145, 226,
Answer:
325
Step-by-step explanation:
10 is 3^2 + 1
37 is 6^2 + 1
82 is 9^2 + 1
145 is 12^2 + 1
226 is 15^2 + 1
325 is 18^2 + 1
325 is the next number in the sequence and is also the answer.
which choices are equivalent to the expression 3 square root of 5
Answer:
6.708.
Step-by-step explanation:
hope this helps
On Sunday, a local hamburger shop sold a combined total of 512 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?
Answer:
512? xd
Step-by-step explanation:
Answer:
128
Step-1by-step explanation:
An easy way of solving these sort of problems is to set up an equation
Since we have a total, that being 512 burgers, we can set an equation equal to that number.
We can say that hamburgers is represented by x. Since we sold 3 times more cheeseburgers than the amount of hamburgers, we can represent this as 3x.
Since these totals are combined, we can represent this via an equation:
512 = x + 3x
Solve for x accordingly, and we are given 128, which is equal to the amount of hamburgers.
7/8 yard of material is needed to make a blanket, how many blankets can be made from 21 yards of material?
Answer:
24
Step-by-step explanation:
the question translates to asking how many times does 7/8 fit in 21, so 21 divided by 7/8.
when we divide by a fraction, we can multiply by it's inverse, so 21 divided by 7/8, is 21 multiplied by 8/7. so:
21×8/7 = (21×8)/7 = (21/7)×8 = 3×8 = 24
Given log base 2 =1/6, what is log base 4
Answer:
log x to the base 2 +log x to the base 4 =2
or log x/ log 2+ log x /lig 4 =2
or log x /log2 + log x /2.log 2 = 2
or log x/log 2(1+1/2)= 2
or log x/log 2 = 4/3
or 3.log x =4.log2
or logx^3=log 2^4
or x^3= 2^4
or x =(2)^4/3 or 2.(2)^1/3 ,Answer.
hope this helps
Step-by-step explanation:
2x + y ≤ 2
a. change the inequality into slope-intercept form, and then change it into an equation.
b. create a table. Use the x-values indicated
c. Graph the points and draw a line.
d. Shade the solution area.
e. Check your solution. Use (0,0) as your test point and see if it satisfies the conditions of the original inequality.
The graph is attached with the answer.
What is an Inequality ?When two algebraic expressions are equated using an inequality operator , The statement formed is called In equality.
The given Inequality is 2x + y ≤ 2
in slope intercept form can be written as
y ≤ -2x +2 , here slope is -2 and intercept is 2
As an equation it will be
y = -2x +2
x y
0 , 2
1 , 0
2 -2
The graph is plotted
The area is shaded and the test for the origin is applied , and it lies in the shaded region.
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For all a and b, what is the sum of (a-b)² and (a+b)²
Answer:
2a² + 2b²
Step-by-step explanation:
(a - b)² + (a + b)² ← expand both factors using FOIL
= a² - 2ab + b² + a² + 2ab + b² ← collect like terms
= 2a² + 2b²
Step-by-step explanation:
Expand both classic quadratics and combine like terms to find the sum:
(a−b)2+(a+b)2
Will give brainliest or whatever it’s called
C is the right answer.
hope it helps...
Answer:
C.
Step-by-step explanation:
Calculating this in Desmos, the closest equation to the points on the graph will have to be c
Thaddeus models the number of hours of daylight in his town as
D(t) = 3sin(t) + 12, where D is the number of daylight hours and t is the
time in months since January 1.
What are the least and greatest numbers of daylight hours over the course of
a year?
Answer:
(π2,15)(π2,15) is a local maximal
(3π2,9)(3π2,9) is a local minimal
Step-by-step explanation:
For which value(s) of xwill the rational expression below equal zero? Check
all that apply.
(x - 3)(x + 6)/x +7
A. -6
B. -7
C. 7
D. 3
E. 6
F. -3
Answer:
A. -6
D. 3
Step-by-step explanation:
A researcher believes that singing to plants causes them to grow an extra 0.5 inches on average per month. She tests this with 20 of her own plants by bringing 10 to work and leaving 10 at home. The ones at home she sings to each day, and she does not sing to the ones at her work.
The control variable that can be used in the research experiment is to ensure that the two set of plants will receive the same amount of water and light.
How to depict the control variable?According to the information, the researcher wants to seek whether singing to plants causes them to grow taller.
The explanatory variable is singing. Therefore, the researcher can control some of the variables to determine the explanatory variable on the growth of the plant.
Hence, the control variable that can be used in the research experiment is to ensure that the two set of plants will receive the same amount of water and light.
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The figure below is a scatterplot for paired data (x, y), with x values on the horizontal axis and y on the vertical axis. The tick marks are spaced 10 units apart on both axes. (Note that to answer the following questions you don't need the actual values for each tick mark, only differences between them.) 00 00 Oo oo 8 Oo oo (1) What are plausible values for the standard deviations of x and y, respectively? (2) What is a plausible value for the slope of the SD line? (3) Given your answer to part (b), what is a plausible value for the slope of the regression line?
The plausible values for the SD(x) are 6.67 and for SD(y) is 3.37, and the slope of the line is 0.5.
What is a scatter plot?Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.
We have a scatter plot shown in the table:
1) As we can see in the scatter plot all data are within 3 standard deviations of the mean:
Standard deviation = SD
6SD(x) = 40
SD(x) = 40/6 = 6.67
6SD(y) = 20
SD(y) = 20/6 = 3.37
2) Slope of the line:
= SD(x)/SD(y) = (20/6)/(40/6) = 1/2 = 0.5
3) It is plausible to take the slope of the line as 0.5 because the slope of the line is the ratio of the change in y to the change in x.
Thus, the plausible values for the SD(x) are 6.67 and for SD(y) is 3.37, and the slope of the line is 0.5.
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what is life?bhkbkbkjnmmkjopjlknm nbgvuyihjknm
Answer:
yessss
Step-by-step explanation:
yessssssss
The condition that distinguishes organism from inorganic objects and dead organisms, being manifested by growth through metabolism, reproduction, and the power of adaptation to the environment through changes originating internally.
Which of the following is a correctly written algebraic equation?
2 + 0.2x
5b - 5x + 2
a - 3x=0
3(x/5)
144 to the 1/2 power
Answer:
(144)^1/2
(12^2)^1/2
12 is the answers
Step-by-step explanation:
please mark me as brainlest
Answer:
12
Step-by-step explanation:
Rewrite 144 as 12²
(12²)^1/2
Apply the power rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].
12^2(1/2)
Cancel the common factor of 2.
Cancel the common factor.
Rewrite the expression
12^1
Evaluate the exponent.
12
Tickets for a basketball game cost $5 for students and $8 for adults. The number of students was 7 less than 9 times the number of adults. The total amount of money from tickets sales was $3039. How many tickets were sold for adults aside from students?
We conclude that 515 student tickets were sold, and 58 adult tickets.
How many tickets of each type were sold?
Let's define the variables:
x = tickets for students sold.y = tickets for adults sold.We can write the system of equations:
x = 9*y - 7
x*5 + y*8 = 3039
Now we can replace the first equation into the second one:
(9*y - 7)*5 + y*8 = 3039
45y + 8y - 35 = 3039
53y = 3074
y = 3074/53 = 58
Now we can use:
x = 9y - 7 = 9*58 - 7 = 515
We conclude that 515 student tickets were sold, and 58 adult tickets.
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For any real number c, √² =
A. ²
B. cl
C. 1
D. C
Answer:
answer D ( if i interpreted your question correctly )
Step-by-step explanation:
Sqrt (c^2) = √(c^2) = C