Study the pattern in the equations. Use your observations to solve the equation for a. Express your answer in terms of

log4x 2^a = 3

answer:

p = 6

1. pull out like factors

7p - 42  =   7 • (p - 6)

2. solve it

7=0

this equation can't be solved, therefore has no solution.

Answer:

a)  Эx ∈ R   ⊇  x³ = 2

b) ∀x ∈ R, x² ≥ 0

c)  Эx ∈ R   ⊇  x³ = x

d) ∀x ∈ R, x ≤ x²

Step-by-step explanation:

Given the data in the question;

let us first go through some symbols and their possible meanings;

Э  ⇒ there exists

∀ ⇒ for all

∈ ⇒ belongs to or set membership or element of the set

⊇ ⇒ such that

now;

a) There is a number whose cube is equal to 2

let x represent the number; so

Эx ∈ R   ⊇  x³ = 2

b) The square of every number is at least 0

x² ≥ 0, ∀x ∈ R

∀x ∈ R, x² ≥ 0

c) There is a number that is equal to its square

Эx ∈ R   ⊇  x³ = x

d) Every number is less than or equal to its square.

x ≤ x², ∀x ∈ R

∀x ∈ R, x ≤ x²

Answer:

19

Step-by-step explanation:

Answer:

ACB = 87 degrees

Answer:

This is the

Step-by-step explanation:

This is te changes of the eart

Across

2: Transpiration

3: Atmosphere

5: Potential

6: Precipitation

7: Condensation

Down

1: Evaporation

4: Condensation

Answer:

SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.

Answer:

d

Step-by-step explanation:

The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.

We can check each ordered pair given to see if it satisfies this equation:

For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.

This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.

For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.

Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.

For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.

This satisfies the equation and the fee is positive, so this is a viable solution.

For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.

This satisfies the equation and the fee is positive, so this is also a viable solution.

Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ7

Answer:

jet weighs 74 pound

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

When you are rounding to the nearest hundred you  

You round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Then, round the number down to the nearest hundred if the last two digits in the number are 49 or below and if the last two digits are 00, then you don't have to do any rounding, because it is already to the hundred.

Answer:

5: 40.6

6: 26.57

7: 22.21

8: 66.35

Step-by-step explanation:

I am going to assume that you know

SOH CAH TOA (if you don't just ask)

For 5: we have the adjacent and opposite side, we need the angle

I think here it's easiest to use TOA

so we have

tanx=60/70

take the arctan or tan^-1 and get

arctan(60/70)=x x= 40.6

For number 6 it's just the same deal

tanx=10/20

arctan(10/20) =x =26.57

For number 7 we have the adjacent side and we need to find the oppsoite side

for this I will once again use TOA

tan(48)=x/20

20tan(48)=x=22.21

For number 8 it's the same deal as 7

tan53=x/50

50tan53=x=66.35

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{Area \: of \: a \: trapezium = \frac{1}{2} h \: (b_{1} + b_{2})}}[/tex]

Plug the known values and then simplify !

⟶ [tex] \sf{ \frac{1}{2} \times 4.5 \times (5.2 + 10.8)}[/tex]

⟶ [tex] \tt{ \frac{1}{2} \times 4.5 \times 16}[/tex]

⟶ [tex] \tt{36 \: {cm}^{2} }[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{36 \: {cm}^{2} }}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

20 cents

Step-by-step explanation:

Possible coins in grandfather's pocket include : nickel, dime, quarter

A nickel = 5 cents

A dime = 10 cents

A quarter = 25 cents

First combination= nickel+dime+quarter+quarter

Second combination=nickel+quarter+quarter+quarter=

Third combination= dime+quarter+quarter+quarter

Third combination=quarter+quarter+quarter+quarter

4th combination = nickel + nickel+dime+quarter

5th combination= nickel +nickel+nickel+dime

6th combination =nickel+nickel+nickel+quarter

7th combination= nickel + nickel + nickel +nickel

8th combination = dime + dime +quarter +nickel

9th combination = dime +dime+dime+quarter

10th combination =dime+dime+dime+nickel

11th combination=dime+dime+dime+dime

If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, then all coins are below ten cents and all coins are nickels = 4 nickels ×5 = 20 cents

Answer:

- 8/3

Step-by-step explanation:

Simply subtract 4 from 4/3

4/3 - 4 = 4/3-12/3=-8/3

Lets check of our answer is correct:

4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.

Answer:

20 percent left

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

7 > x  means what numbers are less than 7

A  and C are not correct because 7 = 7 is not less than 7

B is correct because 7 > -2, and 7 > 0

D is not correct because 8, 10, 20 are more than 7

Answer:

Step-by-step explanation:

To calculate the missing sides square the  side length of the legs of the  triangles(  the lines that form a 90 degree angle) then add them together, then take the sqr root of that to find the hypotunse( the slanted side). In simplier terms, here how it look.

[tex]a^{2}+b^{2} =c^{2}[/tex]

where a and b are the legs, and c is the hypotunese.   For example, Ill do 3. The bases are 22, and 11 so plug them in the equations.

[tex]a^{2}+b^{2} =c^{2}[/tex]

11^2+22^2=c^2

121+484=c^2

605=c^2

c=about 24.6

Answer:

Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up

Step-by-step explanation:

The computation of the time taken is as follows:

Let us assume the Ray time be t

So his sister time would be t - 10

Since Ray distance is 2t

So his sister distance is 6(t - 10) = 6t - 60

As the distance is the same

So, the following equation must be made    

2t = 6t - 60

 -4t = -60

t = 15

Therefore Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up

Answer:

No

Step-by-step explanation:

when checking to see if a point satisfies a system of equations

plug in x and y values from your point into the system

(2, 10)

x y

-3(2) - 4(10) = 4. and. -5.2 + 10 = 2

-6-40 = 4. 4.8. = 2

-46 = 4.

invalid statement. invalid statement

therefore the point (2, 10) does not satisfy this system of equations.

Answer:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20

Answer:

[tex]Expression = x + 18x\%[/tex]

[tex]Expression = 1.18x[/tex]

Step-by-step explanation:

Given

Represent their goal with x

Additional = 18%

Required

Write two expressions to describe the total percentage

The expression is derived using:

[tex]Expression = Goal + Additional[/tex]

This gives:

[tex]Expression = x + 18\% * x[/tex]

[tex]Expression = x + 18x\%[/tex]

Solving further (Express percentage as decimal)

[tex]Expression = x + 0.18x[/tex]

[tex]Expression = 1.18x[/tex]

Answer:

graph A.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

8 is the correct answer.

hey there ..

plz show the graph also ..

Answer:

135 = 3y + 3r

y = 30; r = 15

Step-by-step explanation:

y = 3y + 3r

Where,

y = total number of flowers in the garden = 135

y = number of flowers in each yellow flower bed = 30

r = number of flowers in each red flower bed

135 = 3(30) + 3r

135 = 90 + 3r

135 - 90 = 3r

45 = 3r

r = 45/3

r = 15 flowers

number of flowers in each red flower bed = 15