If the second term of an arithmetic progression is - 4 and the fourth term is 8, find the ninth term.

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 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:

667 tiles

Step-by-step explanation:

To find the number of pavers, divide the total area of the patio by the area of each paver.

[tex]\text{Number of paver= $\dfrac{1800}{2.7}$}[/tex]

                           [tex]= \dfrac{1800*10}{2.7*10}\\\\=\dfrac{18000}{27}\\\\= 667[/tex]

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:

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

Step-by-step explanation:

it's the same i hope it can help.

Answer:

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

Step-by-step explanation:

Answer:

10 triangles

Step-by-step explanation:

Let’s consider three scenarios: an equilateral triangle, isosceles and scalene.

1. There are three possibilities for equilateral triangle: 13, 13, 13    17,17,17     23, 23, 23

2. There are 6 possibilities for a isosceles triangle:

There are three choices for the base and for the remaining two sides there are two choice, so 3 x 2 = 6

3. There is only one possibility for a scalene triangle:

Let’s use the triangle theorems to check:

Let the sides be 23,17 and 13. Since every other scalene triangle will have the same sides the SSS (Side-Side-Side) theorem states that any triangle with the same three sides is the same triangle (congruent).

Therefore when adding the three scenarios we will get 3 + 6 + 1 = 10 triangles that can be made.

Answer:

Step-by-step explanation:

Hey there!

I think that some of the content in your question is missing so I will be solving for how much yards of fabric is needed in total

Since all of the fractions have common denominators, we can comfortably add them together

3/4+3/4+2/4 is 8/4

8/4 can be simplied to 2

So the total amount of yards of fabric Thom needs in total is 2 yards

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

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 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:

Below.

Step-by-step explanation:

2x+4 = (x²)²÷2

2x + 4 = x^4/2

x^4 = 4x + 8

x^4 - 4x - 8 = 0

We can try trial an error to solve this

Looks like x = 2 fits it:

2^4 - 4(2) - 8

= 16 -8 -8 = 0

so x = 2 is one solution.

I can't find any other solution among other integers.

To find the other solutions you can draw a graph manually or by using software.

There will be either 1 or 3 more real solutions.

I used software to draw the graph and found one other solution:

x = -1.296

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:

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:

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 :)

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:

Step-by-step explanation:

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.

To find the surface area of a right cone:

  ⇒ must know the formula = [tex]\pi rs+\pi r^2[/tex]

    (look at the diagram I attached for a better explanation)

Let's look at the information given:

Let's solve:

 [tex]Surface-Area=\pi *6*10+\pi* 6^2=60\pi +36\pi =96\pi = 301.592ft^2[/tex]

Thus the surface area of the shape given is 301.59 square feet

Answer: 301.59 square feet

Hope that helps!

Answer:48.014

Step-by-step explanation:you got to say 48,000 plus 0.014 and you hit the equal button and see what u get and i hit the equal button and i got this answer 48.014 is my answer for this question

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 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:

-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:

2,000 square feet

Explanation:

If the kitchen is 300 square feet, we can divide that by the percentage(15%). We get the answer 20, which will be our conversion factor!

Now, we multiply this conversion factor by all the other percentages(without decimals)

5 x 20 = 100

20 x 20 = 400

30 x 20 = 600

15 x 20 = 300

30 x 20 = 600

Now we add up all of these factors and get the answer :D

100 + 400 + 600 + 300 + 600 = 2,000 square feet

The requried division of 15 by 2590 gives the decimal value of approximately 172.6667.

To calculate the division of 15 by 2590, we perform the following steps:

When we divide 15 by 2590, we can express it as 15 ÷ 2590.

Dividing 15 by 2590 yields a decimal value of approximately 172.6667. This means that 15 is approximately 172.67 times the value of 2590.

In simpler terms, if you divide 15 by 2590, the quotient or result is 172.6667 (rounded to four decimal places).

Therefore, the division of 15 by 2590 is approximately 172.6667.

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Answer:

57.6% have allergies

42.4% have no allergies

Step-by-step explanation:

We only need to consider the students who speak two languages according to the question.

To find the percent with allergies, divide the number of students with allergies by the total number of students (that speak two languages).

19/33 = 0.5757 = 57.6%

To find the percent without allergies, divide the number of students without allergies by the total number of students (that speak two languages).

14/33 = 0.4242 = 42.4%

Check your work by adding the percentages to make sure they equal 100%

57.6 + 42.4 = 100

Answer:

The answer is in Step.

Step-by-step explanation:

Very simple.

B(4,8)

Answer: It would be 10% of 400,000 which is 40,000.

400,000- 40,000 is 360,000. That is your answer. 360,000

Step-by-step explanation:

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.