Write the arithmetic series in summation notation.
3+6+9+12+15+18

Answer:

a)  (4, 5)

b)  (3, -1)

c)  (4, 4)

d)  (-3, 2)

e)  (3, 1)

f)  (7, 8)

Step-by-step explanation:

I hope this helped. If it did mark brainliest pls :)

Answer:

A -6

Step-by-step explanation:

The reason why this is your answer is because -6's absolute value is 6

As we know, 6 is higher than 5

so hence, your answer is A -6

EXTRAS:

Absolute values of other answer choices...

-5 = 5

0 = 0

5 = 5

Answer:

The number that has an absolute value greater than 5 is -6 so that answer will be A

Answer:

The measure of the angle is exactly x.

Answer:

C

Solution

For a complex number written in the form a + bi, a is called the real part of the complex number and b is called the imaginary part. The sum of two complex numbers, a + bi and c + di, is found by adding real parts and imaginary parts, respectively, that is, (a + bi) + (c + di) = (a + c) + (b + d)i. Therefore, the sum of 2 + 3i and 4 + 8i is (2 + 4) + (3 + 8)i = 6 + 11i.

Choice A is incorrect and is the result of disregarding i and adding all parts of the two complex numbers together, 2 + 3 + 4 + 8 = 17. Choice B is incorrect and is the result of adding all parts of the two complex numbers together and multiplying the sum by i. Choice D is incorrect and is the result of multiplying the real parts and imaginary parts of the two complex numbers, (2)(4) = 8 and (3)(8) = 24, instead of adding those parts together.

Answer:

the area of triangle formula is A = B*H  / 2 so it means 16 square = (x+4) x /2 so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6 so x = -2 -6 = -8 or x= -2 +6 = 4 x must be positive so x = 4

Step-by-step explanation:

i really hoped this helped you.

Answer: The linear model does not describe the data well because most of the points are located above the line.

Step-By-Step Explanation: The scatterplot shows the data points, and it also shows the linear model that Henry drew.

The residual value is the difference in the value of the y coordinate between the real value and the expected value. The residual value will be equal to -0.86.

The residual value is the difference in the value of y coordinate between the real value and the expected value.

Residual Value =  Real value of y - The predicted value of y

The value of y in the table is -2 when the value of x is 5. And as per the function, the value of y when the value of x is 5 can be written as,

[tex]y = -0.7x+2.36\\\\y = -0.7(5)+2.36\\\\y= -3.5+2.36\\\\y=-1.14[/tex]

Now, the residual value can be written as,

[tex]\text{Residual Value} = \text{(Value of y in the table)} - \text{(Value of y as per the function)}\\\\\text{Residual value} = -2 - (-1.14)\\\\\text{Residual value} = -2+1.14\\\\\text{Residual value} = -0.86[/tex]

Hence, the residual value will be equal to -0.86.

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Answer:

-0.86

Step-by-step explanation:

cuz im a slay queen boss

Answer:

c=?=13

Step-by-step explanation:

Using the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] where a=5 and b=5, and solving for c=?

[tex]5^2+12^2=c^2[/tex]

[tex]25+144=c^2[/tex]

[tex]169=c^2[/tex]

[tex]c=\sqrt{169}[/tex]

c=13

Answer:

x=(1+sqrt(61))/6=1.468

Step-by-step explanation:

The amount of time his teammate have to catch the ball is equal to 1.774 seconds.

Given the following function:

In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:

f(t) = -16t² + 25t + 6.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c =0

Where:

a = -16.

b = 25.

c = 6.

Solving the function by using the quadratic formula, we have:

t = [-b ± √(b² - 4ac)]/2a

t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)

t = [25/32 ± (-1/32)√1009]

t = 25/32 ± (-0.993)

t = 0.781 ± 0.993

t = 0.781 + 0.993

Time, t = 1.774 seconds.

Note: We ignored the negative value because time cannot be negative.

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Answer:

B

Step-by-step explanation:

The verified dude saisd so

The relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency). (subgroup being group defined by a row, or a column)

Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]

List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

The given two-way frequency table is:

                                        Lake                  Hike                       Total

Children                                                       6

Adults                                 9

Total                                                             14                            38

Total of hike subgroup is 14, out of which children are 6, so adults going for hiking must be 14 - 6 = 8 as adults and children going for hiking together are 14 in counts.

So, we get:
n(Hike ∩ Children) = 8

Thus, the total of subgroup Adults is 9+8=17 = n(Adults)

Total of vertical total columns is: n(Children) + n(Adults) = 38

or, we get: n(Children) = 38 - 17=  21

Since total of children subgroup is:

n(Lake ∩ Children) + n(Hike ∩ Children) = n(Children)

Thus, we get:
n(Lake ∩ Children) + 6 = 21

n(Lake ∩ Children) = 21-6 = 15

Thus, sum of the 'lake' subgroup is:

n(Lake) = n( Lake ∩ Children) + n(Lake ∩ Adults)

n(Lake) = 15 + 9 = 24

Thus, the completed two-way table is:

                                        Lake                  Hike                       Total

Children                             15                        6                             21

Adults                                 9                         8                             17

Total                                   24                       14                            38

Now, we've to find what does 15/24 represents.

The division is done by 24, which is the total of "lake" subgroup.

And in that lake subgroup, we have:

n(Lake ∩ Children) = 15

Thus, 15/24 is the relative frequency of those children who prefer the lake, relative to total number of people who prefer lake.

Thus, the relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.

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Answer: The factors of 252 can either be prime or composite. Subsequently, 252 is an even composite number itself which comprises of factors that are either prime or composite.

Step-by-step explanation:

Factor pair Pair factorization

2 and 126 2 × 126 = 252

3 and 84 3 × 84 = 252

4 and 63 4 × 63 = 252

6 and 42 6 × 42 = 252

Answer:

-3 x 10.

It is positive.

9 × (-6).

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1. -3x10

2.it is positive

3.-6 times 9

Answer:

x=10

Step-by-step explanation:

13x=130

because they are parallel we know that line m and n are equal angles

since 13x° and 130° aee both obtuse angles they are equal

so set them equal 13x=130

and solve for x

divide both sides by 13

(13x)/13 = 130/13

leaving us with x=10

Answer:

b

Step-by-step explanation:

on plato

The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.

The equation can be written as

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix.

Here, We have the upward parabola;

(h, k) = (-9, 7) and p = (7 - (-9))/ 2 = 8.

So the equation is

f(x) = 1/32(x + 9)^2 + 19

The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.

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Answer:

x=8, x=4

Step-by-step explanation:

Add 4 to both sides

[tex](x-6)^2=4[/tex]

Square root

[tex](x-6)= \sqrt{4}[/tex]

x - 6 = ±2

x = 8

OR x = 4

So, x=8 or x=4

Answer:

3 2/5

Step-by-step explanation:

The amounts of ounces all together is 17/5 ounces and 17/5 is equal to   3 2/5 therefore the answer is 3 2/5 since it is split as evenly as possible.

Answer:

Make n  the subject of the formula y =m² -4n² .

Step-by-step explanation:

it's the same i hope it can help.

Answer:

Yes

Step-by-step explanation:

When opening the parenthesis of 2(g + d), the 2 is being multiplied by each addend. Therefore, 2(g + d) is 2g + 2d simplified.

The furthest she rode would be the highest number the orange line covers which is 20.

Answer: 20 miles

Answer: the answer is 20 Miles .

Step-by-step explanation: as in the diagram the fathest and highest thing was 20 so 20 Miles .

Answer:

c) $725

Explanation:

Last year price: $12.50

If increased by 16%, 100% + 16% = 116%

116% * $12.50

$14.5, each student

Total cost for all 50 students

$14.5 * 50

$725

Answer:

the answer is 3/100

Step-by-step explanation:

the probability=

pr(blue)*pr(black)

=3/10*1/10

=3/100

hope this helps

please give brainest

Answer:

Step-by-step explanation:

...

11C2=55

The probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.

To find the probability of getting exactly 1 head when a fair coin is tossed 9 times, we can use the concept of binomial probability. The probability of getting a head on a single coin toss is 1/2, and the probability of getting a tail is also 1/2.

In this case, we want to calculate the probability of getting exactly 1 head out of 9 tosses. This can be represented as a binomial probability with parameters n (number of trials) and p (probability of success).

Using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where n is the number of trials, k is the number of successful outcomes, and p is the probability of success.

In our case, n = 9, k = 1, and p = 1/2.

Plugging these values into the formula:

P(X = 1) = (9 choose 1) * (1/2)^1 * (1 - 1/2)^(9 - 1)

P(X = 1) = 9 * (1/2) * (1/2)^8

P(X = 1) = 9 * (1/2)^9

P(X = 1) = 9/2^9

P(X = 1) ≈ 0.017

Therefore, the probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.

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The value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

[tex]\rm y = 2x^2+bx+8[/tex]

The above function shows the equation of the parabola.

From the graph, we can see the point(2, -8) lie on the graph of the function,

So point(2, -8) will satisfy the function.

Plug y = -8 and x = 2 in the function.

[tex]\rm -8 = 2(2)^2+b(2)+8\\\\-16 = 8+2b\\-24 = 2b \\b = -12[/tex]

Thus, the value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.

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Answer:

Step-by-step explanation:

Answer:

V=828.96cm²

Step-by-step explanation:

V=（4/3）∏r³*（1/2）+（1/3）∏r²h

r=6cm

h²=(2√34)²-6²=4*34-36=100

h=10cm

V=2/3*6³∏+1/3*36*10∏=144∏+120∏=264∏=264*3.14=828.96cm²

Answer 1/10

Step-by-step explanation:

I took the quiz.

The probability of rolling a number less than 4 and spinning a D is 1/10 or 0.10. The correct answer is option B.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since there are 6 sections on the number cube, the probability of rolling a number less than 4 is 3/6 or 1/2.

The spinner has 5 equal sections labeled A through E, so the probability of spinning a D is 1/5.

To find the probability of both events happening, we multiply the probabilities of each event:

(1/2) x (1/5) = 1/10

Therefore, the probability of rolling a number less than 4 and spinning a D is 1/10 or 0.10.

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Answer:

4.5 ft^3

Step-by-step explanation:

note to convert 18 in. to feet = 1.5 feet

divide the length value by 12