Write and solve an equation to answer the question. The perimeter of the school crossing sing is 120 inches. What is the volume of s?

Answer:

-23/20

Step-by-step explanation:

The intersection of three sets A,B and C is {₋2 , 11}.

Given set A = {₋2,7,8,11}

set B = {₋2,7,11}

set C = {₋2,8,11}

we need to find A∩B∩C.

The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.

To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.

we first find:

A∩B = {₋2,7,8,11} ∩  {₋2,7,11}

=  {₋2,7,11}

then B ∩ C =  {₋2,7,11} ∩  {₋2,8,11}

= {₋2 , 11}

now (A∩B) ∩ (B∩C) =  {₋2,7,11} ∩ {₋2 , 11}

= {₋2 , 11}

hence we get the intersection of three sets as {₋2 , 11}

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The center of segment FG is located at point N. Write the formula that expresses FG if FN = 2z2 + 4z + 3.

Since O represents the midway, both FO and OG must be equal.

3x + 17 = 7x - 15

Add 3x to both sides and subtract:

17 = 4x -15

To both sides, add 15:

32 = 4x

Subtract 4 from both sides:

x = 32/4

X = 8

Now that you know the value of X, find the lengths:

FO = 3x +17 = 3(8) +17 = 24 +17 = 41

OG = 7x -15 = 7(8) -15 = 56-15 = 41

Total length would be 41 + 41 = 82

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Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

Answer:

272/49

Step-by-step explanation:

hope this helps :)

The balance amount at the end of 4 years in the account will be $53275

Principal amount= $44200

Rate of interest = 5% compounded annually

Number of years amount is invested for: 4 years

The formula for compound interest is given by:

A = P(1 + r/100)^n

where A = Final amount

P = principal amount invested

r = Rate of interest annually

n = number of years amount is invested

Putting the values in the formula we get:

A = 44200(1 + 5/100)^4

= 44200(1.05)^4

=44200*1.21

Amount at end of 4 years= 53725.37 or 53725

So, the balance amount at the end of 4 years in the account will be $53275

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Answer: C

Step-by-step explanation:

A negative times a negative equals a positive.

Answer:

fifth letter: E

eighth letter: H

third letter: C

Im not sure

Answer:

Step-by-step explanation:

0,5 0.6 and 0.5 again? sorry i might be wrong if i am my apologies

Answer:

No. They include 2 different elements that are unrelated, being x and y, making them unlike terms.

Answer:no

Step-by-step explanation:in order for them to be like terms they would have to have the same variables

Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.

Answer:

yes a product of any number to 0 is equal to 1

Answer:

2.7 miles

Step-by-step explanation:

0.5 + 1.3 + 0.9 = 2.7

The squirrel sleeps 2548 hours more than the rabbit.

Difference of the numbers

Difference of the numbers means the result of subtracting one number from another.

Given,

If there are 52 weeks in a year,

Then we need to find how many more hours does a squirrel sleep in a year than a rabbit.

First, we have to find the sleeping pattern of squirrel  and rabbit.

A squirrel spends up to 60% of its day asleep, which means that an average squirrel sleeps for almost 15 hours each day.

Similarly, the rabbits are sleep six to eight hours each day.

So for one day,

Rabbit = 8 hours per day

Squirrel = 15 hours per day.

Then the sleeping hours for one week is

Rabbit = 8 x 7 = 56 hours

Squirrel = 15 x 7 = 105 hours

So, for 52 weeks, they spend

Rabbit = 56 x 52 = 2912

Squirrel = 105 x 52 = 5460

So, the difference is

=> 5460 - 2912

=> 2548

Therefore, the squirrel sleeps 2548 hours more than the rabbit.

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The range of the situation is 30 to 55.

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used when you do not know the exact number in a calculation.

Given:

A vinyl decal shop charges a set-up fee of $25.00

$5.00 for each decal printed.

as, f(x)=5x+25 represents the total cost of the set-up fee

we have 6 cheerleaders

put x= 1

5x+25 = 5+25 = 30

and x=6

5x+25= 5*6+25= 30+25= 55

Hence, the range is 30 to 55.

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Answer:

$242.50

Step-by-step explanation:

The total of number of hours = 20

Hourly pay = 12.125

20*12.125

Total pay= 242.50

===================================================

Explanation:

Compare the equation

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

to the vertex form

[tex]y = a(x-h)^2 + k[/tex]

we have:

The vertex is located at (h,k) = (2, -4). Nice job on getting the correct answer for the vertex.

The axis of symmetry is x = 2 since the axis of symmetry goes through the vertex. It's the vertical mirror line.

Because a = 1 is positive, the parabola opens upward. It forms a bowl shape. The vertex is the lowest point.

If a < 0, then the parabola would open downward and have a highest point.

==================================================

Work Shown:

AB+BC = AC

(11) + (2x-1) = 3x+3

2x+10 = 3x+3

2x-3x = 3-10

-x = -7

x = 7

which is then use to find:

As a check,

AB+BC = 11+13 = 24 = AC which confirms the answer.

Answer:

-32

Step-by-step explanation:

Pal, it's M A T H

Answer:

-32

Step-by-step explanation:

x-2x-20=12

-x=32

x=-32

.....................

The value of x is -8 in the equation.

It should be noted that the information is that the number 80 is the product of "-10" and x.

This will be represented as:

-10 × x = 80

-10x = 80

Divide both side by -10

-10x/-10 = 80/-10

x = -8

Therefore, the value of x is -8.

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The all four angles are ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40o.

What are vertically  angles?

Vertical  angles are formed when two lines cross at a point. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

Given that

∠BOC+∠AOC=280o   (AB and CD intersect at point E)

we know that, ∠AED and ∠BEC are vertically opposite angles ∠AED=∠BEC

we know that, ∠AED=∠BEC

so it can be written as

∠AED+∠AED=180o,

2∠AED=280o,

∠AED= 140o,

∠AED=∠BEC=140o

we know that ∠AEC and ∠AEC form a linear pair

So it can be written as

∠AEC+∠AED=180

substituting the values

∠AEC+140o=180o

∠AEC=40o

we know that ∠AEC and ∠BED are vertically opposite angles

∠AEC=∠BED=40o

Therefore, ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40

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Answer:

21

Step-by-step explanation:

1+6=7

7+4=11

11+11=21

Answer:

m=7

Step-by-step explanation:

it's in the picture

the left got cut out but there's a bracket at the end of the first line

Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.

In ΔOAC and ΔODB, we have the following observations

CO = DO because it is shown that they are congruent

∠AOC = ∠BOD because vertical angles are congruent

∠ACO = ∠BDO because we are given that they are congruent

Now, the congruency theorem that we can use here is ASA which means Angle - Side - Angle. This implies that 2 corresponding angles and the included side are congruent.

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by Angle - Side - Angle congruence theorem.

Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.

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Answer:

12:2

Step-by-step explanation:

THIS IS TRUE AND EASY

Answer:

12:2

24:4

30:5

36:6

42:7

5 * 5 - 1 * 3

Since multiplication goes before addition in PEMDAS, we do the multiplication first.

25 - 3

2

Answer:

22

Step-by-step explanation:

5•5-1•3

(5 x 5) - (1 x 3)

25 - 3

22

You would multiply both separately and then subtract.

Remember PEMDAS

:)

Answer:

smallest to largest will be:

437.05 , 437.15, 437.49, 437.5, 437.55

Step-by-step explanation:

an easier method i use is to simply check the 1st digit rhat comes after the decimal point if the whole numbers are similar.

in a case where there is only one number after the decimal while the rest have 2, for example 437.5, simply add a 0 to make it even as the rest

Answer:

[tex]{ \tt{f(n) = 7n - 5}} \\ { \tt{f( - 2) = 7( - 2) - 5}} \\ { \tt{f( - 2) = - 14 - 5}} \\ { \tt{f( - 2) = - 19}}[/tex]

Answer:

Step-by-step explanation:

the answer you end up getting is D

2x/2 > 12/2x > 6

Because x is greater than 2