Which of the following statements is TRUE?



Question 1 options:

The only factors of 9 are 1 and 9.


The only factors of 10 are 1, 2, and 10.


The only factors of 11 are 1 and 11.


The only factors of 12 are 1, 2, 6, and 12.

Answer:

0

Step-by-step explanation:

2(3*2)^2-27(6/2)+3^2

=2(9*4)-27(3)+9

=72-81+9

=0

hope it helps:)

Answer:

Step-by-step explanation:

From the information given:

Neighbourhood A = 30  homes and the number increases by 20% each year

Neighbourhood B = 45  homes, and each year 3 new homes are built.

A.

The function representing the numbers of homes in  Neighbourhood A and B are as follows:

For neighbourhood A: f(x) = [tex]\mathbf{30 \times (1.2)^x}[/tex]

For neighbourhood B: f(x) =  45 + 3x

B.

After five years;

Neighbourhood A has = [tex]\mathbf{30 \times (1.2)^x}[/tex]

Neighbourhood A  = [tex]\mathbf{30 \times (1.2)^5}[/tex]

Neighbourhood A  =  74.65 homes

Neighbourhood B: =   45 + 3(5)

Neighbourhood B: =   45 + 15

Neighbourhood B: =   60 homes

C.

To determine how many years the number of homes are the same for neighbourhood A and B, we need to equate both together.

i.e.

[tex]\mathbf{30 \times (1.2)^x= 45 + 3x}[/tex]

[tex]\mathbf{ (1.2)^x= \dfrac{45 + 3x}{30}}[/tex]

[tex]\mathbf{ (0.4)^x= \dfrac{15 + x}{10}}[/tex]

x = 3.3

Thus, after 3.3 years, the number of homes will be the same.

Answer:

25

Step-by-step explanation:

just add it together

Answer:

More than 30 items

Step-by-step explanation:

C(x)=300x+6,000

First, find c(x), the average cost function.

c(x)c(x)=C(x)x=300x+6,000x

The average cost function is shown below.

c(x)=300x+6,000x

We want the function c(x) to be less than 500.

c(x)<500

Substitute the rational expression for c(x).

300x+6,000x<500x≠0

Subtract 500 to get 0 on the right.

300x+,6000x−500<0

Find the LCD, and rewrite the left side as one quotient.

300x+6,000x−500xx−200x+6,000x<0<0

Factor the numerator to show all factors.

−200(x−30)x<0

Find the critical points when the numerator or denominator are equal to 0.

−200(x−30)−200≠0x−30x=0x=0=0=30

More than 30 items must be produced to keep the average cost below $500 per item.

Answer:

6.2

Step-by-step explanation:

After you plug in [tex]\sqrt{38}[/tex] into the calendar, you get 6.16441. To round to the nearest tenth, you look at the tenth and hundreth place. Since the hundreth place is a 6, which is greater than 5, the 1 in the tenths place becomes a 2, giving you 6.2.

Answer:

The break even point is the production level at which total revenues for a product equal total expenses.

Step-by-step explanation:

Answer:

42º

Step-by-step explanation:

The angle on a straight line is always equal to 180º.

So here we know that angles AEB, BEC and CED add up to 180º. Now we simply have to rearrange to find angles AEB, seeing as we know all the others.

180 - (BEC + CED) = AEB

180 - (48º + 90º)

= 180 - 138º

= 42º

Answer:

$36

Step-by-step explanation:

27 x 2/1.50 = 36

Answer:

29.92 m²

Step-by-step explanation:

Area of the rectangle = 5.5 * 4 = 22 m²

Radius of the circle = 5.5 m

Area of the sector of the circle = π*(5.5)² * 30/360 = 7.92 m²

Total area = 22 + 7.92 = 29.92 m²

Answer:

See below.

Step-by-step explanation:

2 x 36 = 72

3 x 18 = 54

6 x 12 = 72

8 x 8 = 64

A and C are the answers.

-hope it helps

Answer:

24 ways

Step-by-step explanation:

4 things can be placed in 4! = 4 × 3 × 2 × 1 = 24 different ways

The number of different ways 4 brands can be arranged is 24.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of brands = 4

Number of different ways 4 brands can be arranged.
= 4!

= 4 x 3 x 2 x 1

= 24

Thus,

The number of different ways 4 brands can be arranged is 24.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Step-by-step explanation:

see pictures above or below

Let's say each row sums to 15

If we had 3 rows, then the total sum would be 3*15 = 45

If we added all of the values in the 3x3 magic square, then we'd get 45 as well.

This is one example showing that

sum of all values = (number of rows)*(magic constant)

You can replace "rows" with columns to get the same idea, because each column also adds to the same magic constant. The diagonals are an exception since we only have two of them.

Answer:

x= 13 degrees

Step-by-step explanation:

This is a 90 degree angle. We can create an equation to find x

68+x+9= 90

77+x= 90

-77     -77

x= 13 degrees

Hope this helps!

Answer:

x = 13

Step-by-step explanation:

The given angles are,

→ 68°

→ (x + 9)°

Now we have to,

→ Find the required value of x.

Forming the equation,

→ 68° + (x + 9)° = 90°

Then the value of x will be,

→ 68° + (x + 9)° = 90°

→ 68° + x + 9° = 90°

→ (68 + 9)° + x = 90°

→ 77° + x = 90°

→ x = 90° - 77°

→ [ x = 13 ]

Hence, the value of x is 13.

Answer:

12^2

Step-by-step explanation:

the pemas first you do the "(" and then what ever 12^2 is. i got the same question on mine and i got it correct. if this is correct write brainiest.

Givᥱᥒ ,

[tex]\bold\purple{g(b) = 7b + 8}[/tex]

To fiᥒd ,

[tex]\bold\purple{g( - 3) = ?}[/tex]

Hᥱɾᥱ ,

Wᥱ ʝᥙ⳽t ᥒᥱᥱᑯ to ⳽ᥙᑲ⳽titᥙᥱ tᖾᥱ ʋᥲꙆᥙᥱ " ᑲ = -3 " iᥒ tᖾᥱ ᥱϙᥙᥲtioᥒ ɠiʋᥱᥒ ᥲᑲoʋᥱ.

Tᖾᥱɾᥱƒoɾᥱ ,

[tex]\bold\blue{g( - 3) = 7( - 3) + 8 } \\ \\ \bold\blue{ ⇝ - 21 + 8} \\ \\ \fbox\pink{ ⇝ - 13}[/tex]

hope helpful ~

Answer:

26 children

Step-by-step explanation:

346-8*40

346-320

26

Answer:

[tex]2+\sqrt{3}[/tex]

Step-by-step explanation:

tan(-105°) is equal to 3.73205081, and [tex]2+\sqrt{3}[/tex] is equal to 3.73205081 as well.

Answer:

I do not know

Step-by-step explanation:

so I don't know anything abt math mostly thank you

Answer:

A

Step-by-step explanation:

Reflects across the y axis then rotates 180 degrees.

Answer:

reflection then rotation

Step-by-step explanation:

Answer:

The number you're looking for is 18.

Step-by-step explanation:

18/2=9

9 + 15 = 24

Therefore you get 18

Answer:

C

A  

E  

D

B

Step-by-step explanation:

:

a bottle has 1 3/4 liters. The first thing to do is convert this mixed fraction to an improper fraction. 1 equals 4/4, so 4/4+3/4=7/4, it says they want to take 6 1/4 glasses, we convert this to a fraction, we multiply 6*1/4=6/4 and this simply we have to subtract it from 7/4 which are the liters

7/4-6/4= 1/4

so we have 1/4 of a liter left over

una botella tiene 1 3/4 de litros. Lo primero que hay que hacer es convertir esta fracción mixta en fracción impropia. 1 equivale a 4/4, entonces 4/4+3/4=7/4, dice que quieren llevar 6 vasos de 1/4, esto lo convertimos en fracción, multiplicamos 6*1/4=6/4 y esto simplemente lo tenemos que restar a 7/4 que son los litros

7/4-6/4= 1/4

entonces nos sobra 1/4 de litro

Answer:

The slope would be -4

Step-by-step explanation:

Since the two lines are parallel, the slopes would have to be the same because the lines can't intersect. In an equation of a line, the number before the "x" is always the slope.

Answer:

The slope of a line that is parallel to y=-4x+11 is m2=-4

Step-by-step explanation:

Parallel lines

The equation of a line of slope m and y-intercept b can be expressed as:

y=mx+b

The equation of the given line is

y=-4x+11

Which means its slope is m1=-4

Two parallel lines are defined to have the same slope. If m2 is the slope of a parallel line, then:

m2=m1=-4

Then, the slope of a line that is parallel to y=-4x+11 is m2=-4

4hours after time?

Hour. will be changed only

The time in 24hr format is 14:17 and in 12 hr format it's 2:17

Answer:

[tex]\huge\boxed{\bf\:14:17}[/tex]

Step-by-step explanation:

Given information,

Since the question doesn't provide whether [tex]10:17[/tex] is in Post Meridiem(P.M) or Ante Meridiem (A.M), we'll be using the 24-hour clock format.

In the 24-hour clock format, the clock goes from 12:01 to 23:59 each day. Each full rotation of the clock from this period shows that a day has passed by.

In the above case, if Maria starts her work by [tex]10:17[/tex], then,

Time Maria finishes her work by

[tex]=\sf\: 10:17 + (4 \: one-hour \:clock \: rotations)\\= \sf\:10:17 \rightarrow (11:17\rightarrow12:17\rightarrow13:17\rightarrow14:17)\\= \boxed{\bf\:14:17}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

  (0, -4)

Step-by-step explanation:

The y-intercept is the point on the line where it crosses the y-axis. That point has x-coordinate equal to zero. To find the y-intercept, set x=0 in the equation and solve for y:

  3y = -12

  y = -12/3 = -4

The y-intercept is -4. The point coordinates are (0, -4).

__

Additional comment

You may notice that in the standard form equation, ...

  ax +by = c

The x-intercept is c/a, and the y-intercept is c/b.

Answer:

  4

Step-by-step explanation:

The proportional relationship can be described by the equation ...

  [tex]f=\dfrac{k}{\sqrt{g}}[/tex]

We can fill in the given values to find k:

  15 = k/√144 = k/12

  15·12 = k = 180 . . . . . . multiply by 12

Then for f = 90, we have ...

  90 = 180/√g

  1/2 = 1/√g . . . divide by 180; next multiply by 2√g and square both sides

  g = 2² = 4 . . . . the value of g when f=90

Answer:

1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:

120 = 20 + 50t

2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.

t ≤ (120 - 20)/50

t ≤ 2 hours

Thus, the domain would be 0 < t ≤ 2.

Step-by-step explanation:

Answer:

1 First blank; f(1.5)=95    2 Blank; 1.5    3 Blank; 95

Step-by-step explanation:

you use the equation f(x)=50x+20 and put 1.5 in

f(1.5)=50(1.5)+20   =    f(1.5)=95

you get 95, and that is the number of miles

1.5 is number of hours