The correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.
What are prime and composite numbers?Prime numbers:-
The prime number is defined as the number which is divided by 1 and itself.
Composite numbers:-
The number is defined as the composite number when the number is divided by 1 itself and any other numbers also.
From the given options we need to choose the pattern of the series { prime, prime, prime, composite, prime, prime } so we can see that in option A correct pattern is followed.
Pattern { 1, 5, 7, 9, 11, 13 }
1 → prime
5 → prime
7 → prime
9 → composite
11 → prime
13 → prime
Therefore the correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.
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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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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!
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
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.
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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height of 24cm with a radius of 7cm. What is the total surface area of the cone?
Answer:
the answer to this problem is 703.7 in^2
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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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:
Solve x:
3x + 99x= 1224
10 pts
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3x + 99x = 1,224}\\\\\large\textbf{COMBINE the LIKE TERMS}\\\\\mathsf{(3x + 99x) = 1,224}\\\mathsf{3x + 99x = 1,224}\\\mathsf{\bold{102x} = 1,224}\\\\\large\textbf{DIVIDE 102 to BOTH SIDES}\\\\\mathsf{\dfrac{102x}{102} = \dfrac{1,224}{102}}\\\\\large\textbf{SIMPLIFY IT!}\\\\\mathsf{x = \dfrac{1,224}{102}}\\\\\mathsf{x = 12}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]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.
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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Which of the following is a correctly written algebraic equation?
2 + 0.2x
5b - 5x + 2
a - 3x=0
3(x/5)
A line of best fit was drawn for 16 data points. What is the maximum number
of these data points that may not actually be on the line?
OA. 14
OB. 13
O C. 15
OD. 16
The maximum number of data points that may not actually be on the line is 16. so, the correct option is D.
How to find the line of best fit?We know that a line of best fit is basically a straight line drawn for a given data that may or may not pass through data points.
It is given that the line is drawn for 16 data points.
Hence, the line may or may not pass through all these 16 points.
Therefore, the maximum number of data points that may not actually be on the line is 16.
so, the correct option is D.
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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.
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
Determine the next three terms in the following sequence: Negative 1, one-half, negative one-fourth, StartFraction 1 Over 8 EndFraction,____, ____, ____,... a. StartFraction 1 Over 12 EndFraction, StartFraction 1 Over 24 EndFraction, StartFraction 1 Over 48 EndFraction b. StartFraction 1 Over 16 EndFraction, StartFraction 1 Over 32 EndFraction, StartFraction 1 Over 64 EndFraction c. Negative StartFraction 1 Over 12 EndFraction, StartFraction 1 Over 24 EndFraction, Negative StartFraction 1 Over 48 EndFraction d. Negative StartFraction 1 Over 12 EndFraction, StartFraction 1 Over 24 EndFraction, Negative StartFraction 1 Over 48 EndFraction
The next three terms will be -1/16, 1/32, and -1/64. Then the correct option is B.
What is the geometric sequences?Let a be term and r be the common ratio. Then the geometric sequences will be
[tex]\rm a_n = a_{n -1} \cdot r[/tex]
The sequence is given below.
-1, 1/2, -1/4, 1/8,....
The common ratio will be -1/2.
Then the next three terms will be
a₅ = a₄ x (-1/2)
a₅ = (1/8) x (-1/2)
a₅ = -1/16
a₆ = a₅ x (-1/2)
a₆ = (-1/16) x (-1/2)
a₆ = 1/32
a₇ = a₆ x (-1/2)
a₇ = (1/32) x (-1/2)
a₇ = -1/64
Then the next three terms will be -1/16, 1/32, and -1/64.
Then the correct option is B.
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Answer:
C
Step-by-step explanation:
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.
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
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
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)
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:
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
An investor decides to invest some cash in an account paying 13% annual interest, and to put the rest in a stock fund that ends up earning 7% over the course of a year. The investor puts $1300 more in the first account than in the stock fund, and at the end of the year finds the total interest from the two investments was $1270. How much money was invested at each of the two rates? Round to the nearest integer.
A percentage is a way to describe a part of a whole. The investment that was put in the account is 6805, while the amount that is invested in the stock is 5505.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Le the amount that is put into the account is x, while the amount that is invested in the stock market is y. Given the investor puts $1300 more in the first account than in the stock fund, therefore, the equation can be written as,
x - y =1300
x = 1300 + y
Also, at the end of the year the total interest from the two investments was $1270. Therefore, we can write,
0.13x + 0.07y = 1270
Substitute the value of x from the above,
0.13(1300 + y) + 0.07y = 1270
169 + 0.13y + 0.07y = 1270
0.20y = 1101
y = 5505
substitute the value of y in the first equation,
x - y = 1300
x = 6805
Hence, the investment that was put in the account is 6805, while the amount that is invested in the stock is 5505.
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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
help me pleaseeeeeeeeeeee i need the answer fast because it is limited
i will mark as brainiest
Answer:
D
Step-by-step explanation:
Original area = x * x = x^2
New area = x ( x +3.5) = x^2 + 3.5x <====the underlined is the increase in area
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!!
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
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.
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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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
