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3 years ago

Help on both questions ASAP

Mathematics

1 answer:

Troyanec [42]3 years ago

5 0

For the dot plot write down the numbers from 18 to 26 and then plot how ever many points there are of each value

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When the factors of a trinomial are (x + p) and (x + q) then the constant term

nirvana33 [79]

The answer is B
Explanation: when there is Two parentheses you multiply

8 0

3 years ago

If the 10th of the 10 consecutive numbers is 10, what is their sum?

liq [111]

Represent these consecutive numbers (assuming that they are all integers):

x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.

Think of it this way: there are 10 consecutive numbers, and the last one is 10.

Working backwards, we get the sequence 10, 9, ... 3, 2, 1.

The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:

sum here = 10(1+10)/2 = 5(11) = 55 (answer)

7 0

3 years ago

Let sets A and B be defined as follows.

VashaNatasha [74]

<h3>Given</h3>

Set A: A = {-26, -25, -24, -23, - 22, - 21}
Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}

<em />

<em>Cardinality means the number of elements in the set.</em>

Cardinality of the set A:

n(A) = 6, since we can count 6 elements.

Set B has even numbers between 6 and 20, both included:

B = {6, 8, 10, 12, 14, 16, 18, 20}

Then its cardinality is:

n(B) = 8

To solve this we need to compare the elements of sets A or B with numbers given:

-22 ∈ A, True ⇒ -22 is listed as element of A
6 ∈ B, True ⇒ 6 is listed as element of B
- 21 ∉ A, False ⇒ - 21 is listed as element of A
2 ∈ B, False ⇒ 2 is not listed as element of B

5 0

2 years ago

A small junior college had an enrollment of 7,843 students in the year 1990 and 8,793 students in the year 2000. Let x=0 represe

abruzzese [7]

Correct answer is: (0,7843) and (10,8793)

Solution:-

Given that a junior college has an enrollment of 7843 students in 1990 and 8793 students in year 2000.

We have to write this data as (x,y) .

Where x= years after 1990 and y=number of students enrolled.

Since in 1990, 7843 students enrolled, x = 1990-1990=0

And y=7843.

Hence one ordered pair is (0,7843).

Let us find the years after 1990 for 2000 = 2000-1990 =10

Hence another ordered pair is (10,8793).

4 0

3 years ago

a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made

Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

So, The length of box = L' = (L - 6 - 6)

i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

4 0

3 years ago