What is the responsible estimate of 6207 divided 214

verifying, by putting [tex] \theta=60^{\circ}[/tex]

LHS≠RHS

hence the question is FALSE

Answer:

n³ - 7

Step-by-step explanation:

n³ - 7

The required expression for the 7 subtracted from the cube of a number is x³- 7.

Given that,
A string of statements is given,
Here, we have to transform the statement, 7 is subtracted from the cube of a number into a mathematical inscription.

Arithmetic, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

A mathmetical expression is formulated structure of a statement using variables.

Let the number be x,
Now 7 subtracted from the cube of number x
= x³ - 7

Thus, the required expression for the 7 subtracted from the cube of a number is x³- 7.

Learn more about arithmetic here:

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Answer:

Question 2;

A. 25·x²·y²²

Question 3;

f(g(x)) = 4·x, represents the amount Aurora earns per hour

Step-by-step explanation:

Question 2;

(5·x·y⁵)²(y³)⁴ = (25×x²×y¹⁰)×y¹²

(25×x²×y¹⁰)×y¹² = 25×x²×y¹⁰⁺¹² = 25×x²×y²²

Therefore, the correct option is A. 25·x²·y²²

Question 3;

The given functions are;

The function f(x) = 0.5·x is the earnings of Aurora per ticket sold

The function g(x) = 8·x is the number of tickets Aurora sells per hour

Therefore, we have;

f(g(x)) = 0.5 × g(x) = 0.5 × 8·x = 4·x

The value of the function of a function f(g(x)) = 4·x, represents the amount Aurora earns per hour.

Answer:

This is true

Step-by-step explanation:

Yes when you make a radical into a power you can simplify the power, like you are saying.

Answer: 19

Definition:

Prime: Prime numbers are numbers that can only be multiplied ONE time.

Example: 19×1=19

Composite: Composite numbers are numbers that can be multiplied MORE THAN ONE time.

Number 15: 15×1=15, 15×2=30, 15×3=45

Number 18: 18×1=18, 18×2=36, 18×3=54

Number 22: 22×1=22, 22×2=44, 22×3=66

Answer: The answer is 19.

Step-by-step explanation:

Answer:

80 feet

Step-by-step explanation:

1 inch represents 10 feet

Then 8 inches represent = 8 × 10

= 80 feet

Answer: 1880 pounds

Step-by-step explanation: when you take the average adult weight, around 160 lbs. you multiply that by eight. you get 1280. then you estimate that each of the children weigh around 100 lbs, then you add 600 to 1280 and get 1,880 lbs

Answer:

$556

Step-by-step explanation:

4+7+6+10+8=35

35x12=420

4x14=56

5x16=80

420+56+80=556

Answer:

$556.

Step-by-step explanation:

So she is paid $12 dollars for every bicycle assembled on a weekday,

paid $14 dollars for every bicycle assembled on Saturday, and is

paid $16 dollars for every bicycle assembled on Sunday.

She assembled 4 on Monday, 7 on Tuesday, 6 on Wednesday, 10 on Thursday, 8 on Friday, 4 on Saturday, and 5 on Sunday.

In other words, she assembled on total of 4+7+6+10+8=35 bicycles during the weekdays. And she assembled 4 on Saturday and 5 on Sunday.

In other words, her total pay is:

[tex]\$12(35)+\$14(4)+\$16(5)=\$556[/tex]

Answer:

Step-by-step explanation:

y = 3x − 26

2x − y = 19

2x - (3x - 26) = 19

2x - 3x + 26 = 19

   - x = - 7

     x = 7

y = 3•7 -26 = 21 - 26 = - 5

Answer:

23

Step-by-step explanation:

Take the amount of money and divide by the hour

46/2 = 23

23 dollars for every hour

The constant of proportionality is 23

Answer:

Step-by-step explanation:

We first need to find h. Since h is the x coordinate of Q, and Q is on the line 3x + 4y = 6, we will plug in the x value of h and the y value of 3 and solve for h:

3h + 4(3) = 6 and

3h + 12 = 6 and

3h = -6 so

h = -2

The coordinates for Q are (-2, 3). Now we can use that to find the slope of the line QR:

[tex]m=\frac{8-3}{3-(-2)}=\frac{5}{5}=1[/tex]

So the slope of QR is 1. Now we will choose one of the coordinates on line QR as our x and y coordinates to write the equation for the line in point slope form then in standard form:

y - 8 = 1(x - 3) and

y - 8 = x - 3 and

y - x = 5 or

-x + y = 5. If your teacher does not want you to lead with a negative:

x - y = -5 would be your equation in standard form.

Answer:

The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons

Step-by-step explanation:

Direction :

1/2 of a scoop + 2 gallons = 1 pitcher

Mrs. Galindo's students:

4 pitcher = 4 scoops + 2 gallons of water

Correct mixture for 4 pitchers:

1/2 scoop + 2 gallons of water =1 pitcher

For 4 pichers, multiply both sides by 4

1/2(4) scoops + 2(4) gallons of water =4 pitchers

4/2 scoops + 8 gallons of water =4 pitchers

2 scoops + 8 gallons of water =4 pitchers

The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons

Answer:

1,128,330 stones

Step-by-step explanation:

If you multiply how many total layers there are in the pyramid (210) by how many stones there are in each layer (199) before and after the 27th and top layer, you get 41790 stones. Then multiply the top 27 layers by the 41790 stones in those layers then you will get the total amount of stones which comes to 1,128,330 stones needed to build the entire pyramid.

For a given initial quantity A, a decrease of x% can be written as:

A - A*(x%/100%) = A*(1 - x%/100%)

With this, we need to construct an exponential decrease equation for the given situation, and we will find that the equation is:

P(t) = 300*(0.77)^t

Now let's see how we found that.

In this case, we know that:

The initial number of animals is 300.

They decrease at an anual rate of 23%.

This means that after the first year, the population will be:

P(1) = 300 - 300*(23%/100$) = 300*( 1 - 0.23) = 300*(0.77)

After another year, the population decreases again, so we get:

P(2) = 300*(0.77) - 300*(0.77)*(23%/100$) = 300*(0.77)^2

Here we already can see the pattern, the population in the year t, we will get:

P(t) = 300*(0.77)^t

Then we can see that the correct option is C.

If you want to learn more, you can read:

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Answer:

11.21157846 =x

Step-by-step explanation:

We know log b (a) = c  can be written as b^c =a

log 3 (x) = 2.2

3^2.2 = x

11.21157846 =x

Answer:

[tex]\large \boxed{\sf \bold{A.} \ x=11.21}[/tex]

Step-by-step explanation:

[tex]\large \sf log_3 (x)=2.2[/tex]

Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:

[tex]\large \sf log_b(y)=x[/tex]

[tex]\large{\sf y=b^x}[/tex]

Apply the relationship.

[tex]\large \sf log_3 (x)=2.2[/tex]

[tex]\large \sf x=3^{2.2}[/tex]

[tex]\large \sf x=11.21157845...[/tex]

[tex]\large \sf x \approx 11.21[/tex]

Answer:

Step-by-step explanation:

[tex]9^{-4}[/tex]

=[tex]\frac{1}{9^{4} }[/tex]                   ∴     [tex]x^{-n} = \frac{1}{x^{n} }[/tex]

=[tex]\frac{1}{9*9*9*9}[/tex]

=[tex]\frac{1}{6561}[/tex]

Answer:

Surface area of a cone = 461.58 In²

Step-by-step explanation:

Surface area of a cone = πrl + or

Surface area of a cone = πr(r+l)

Where r = radius

Radius= diameter/2

Radius=14/2

Radius= 7 inch

And l slant height= 14 inch

Surface area of a cone = πr(r+l)

Surface area of a cone = π*7(7+14)

Surface area of a cone = 7π(21)

Surface area of a cone = 147π

Surface area of a cone = 461.58 In²

Hi there! :)

Answer:

[tex]\huge\boxed{m\leq 2}[/tex]

Equation:

8m - 6 ≤ 10

Add 6 to both sides:

8m ≤ 16

Divide both sides by 8:

8m/8 ≤ 16/8

m ≤ 2

Answer:

8m - 6≤ 10

m≤2

Step-by-step explanation:

8m - 6≤ 10

Add 6 to each side

8m - 6+6≤ 10+6

8m ≤ 16

Divide each side by 8

8m/8 ≤16/8

m≤2

Answer as a fraction = 1/720

Answer in decimal form (approximate) = 0.001388

Answer in percent form (approximate) = 0.1388%

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

Explanation:

Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.

There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).

Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.

If you need the answer in decimal form, then use your calculator to find

1/720 = 0.001388

which converts over to 0.1388%

Answer:

[tex]\Large \boxed{\mathrm{When \ a \ number \ is \ not \ known}}[/tex]

Step-by-step explanation:

For example, a sum of a number and 6 is 12.

The number is unknown.

Let the number be x.

We can solve for x (unknown number). Subtract 6 from both sides of the equation.

Answer:

88 cm

Step-by-step explanation:

Perimeter = 2πr

=2(14)(22/7)

= 88 cm

Answer:

87.97cm

Step-by-step explanation:

This question is asking to solve for the circumference.

The formula for the circumference of a circle is:  [tex]\pi*diameter[/tex]

To work this out you would first need to multiply the radius of 14 by 2, this gives you 28cm. This is because the radius is half of the diameter.

The final step is to multiply pi by the diameter of 28, this gives you 87.97cm (87.9645943). This is because the formula for the circumference of a circle is [tex]\pi * diameter[/tex].

1) Multiply 14 by 2.

[tex]14*2=28[/tex]

2) Multiply pi by the diameter.

[tex]\pi*28^2=87.97 cm[/tex]

Answer:

Area : 14+10+40=64 square unit

Step-by-step explanation:

the area of the top rectangle with sides  2 and 7

A=2*7=14 square unit

the area of the middle rectangle with sides : (7-5)=2 and side (7-2)=5

Area=5*2=10 square unit

the bottom rectangle : sides 10 and 4

Area=10*4=40

add the areas : 14+10+40=64 square unit

Answer:

-10.

Step-by-step explanation:

f(x) = 2x, x = -5.

f(-5) = 2(-5)

= 2 * (-1) * 5

= 10 * (-1)

= -10.

Hope this helps!

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by

[tex] \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } [/tex]

where

( x1 , y1) and ( x2 , y2) are the points

So the distance between (-4,4) and (1,0) is

We have the final answer as

Hope this helps you

Answer:

Quaterly

Step-by-step explanation:

Answer:

1) La opción correcta es;

c) 0

2) La opción correcta es;

c) x = 2

Step-by-step explanation:

1) La forma general de una ecuación cuadrática se puede escribir en la forma;

a · x² + b · x + c = 0

Dónde;

a, y b son los coeficientes de x², x y c es el término constante

Por tanto, para que exista un polinomio de 2º grado es necesario que el coeficiente a sea diferente de 0

De lo que tenemos;

(0) × x² + b · x + c = 0, lo que da;

(0) × x² + b · x + c = b · x + c = 0 que es una ecuación lineal o un polinomio de primer grado

Por tanto, la opción correcta es c) 0

2)

La ecuación dada se presenta como sigue;

f (x) = x² - 5 · x + 6 = 0

Usando el método de prueba y error, tenemos;

Cuando x = 0

f (0) = 0² - 5 · (0) + 6 = 6 que no es igual a 0 y, por lo tanto, no es una solución

Cuando x = 1

f (1) = (1) ² - 5 · (1) + 6 = 1 que no es igual a 0 y por lo tanto, no es una solución

Cuando x = 2

f (2) = (2) ² - 5 · (2) + 6 = 0 que es igual a 0 y por lo tanto, es una solución

Cuando x = -2

f (1) = (-2) ² - 5 × (-2) + 6 = 20 que no es igual a 0 y por lo tanto, no es una solución

Por tanto, la opción correcta es c) x = 2

Answer:

x = 10

Step-by-step explanation:

Since B is the midpoint of AC then AB = BC = 3x - 4 and

AB + BC = AC , thus

3x - 4 + 3x - 4 = 52, that is

6x - 8 = 52 ( add 8 to both sides )

6x = 60 ( divide both sides by 6 )

x = 10

Answer:

see below (I hope this makes sense!)

Step-by-step explanation:

Constants, as the name suggest, stay constant, meaning that their value never changes. For example, 2 will always be 2 and 9.4 will always be 9.4. On the other hand, the values of variables can change. Take, for example, the variable 2x. When x = 1, 2x = 2 and when x  =2, 2x = 4 so the value of 2x can change depending on what x is. You can't combine constants and variables because they are not like terms, basically, one can change and the other can't and you cannot combine terms that are not like each other.

Answer:

2x+59.

Step-by-step explanation:

Let J represent Jessica's weight and R represent Ronda's weight.

Jessica weighs x+34 pounds. Thus:

[tex]J=x+34[/tex]

Ronda weighs 12 pounds less than Jessica. In other words:

[tex]R=J-12=(x+34)-12\\R=x+22[/tex]

The sum of their weights, therefore, is:

[tex]J+R\\=(x+34)+(x+22)=2x+56[/tex]

Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:

[tex]2x+56+3=2x+59[/tex]

The sum of the new [weights] is represented by 2x+59.

Answer:

A cada uno le toca:

2/15

del total de la pizza.

Step-by-step explanation:

1/3 + 2/5 = 5 / 15 + 6 / 15 = 11/15

los dos, inicialmente, han almorzado

11/15

de la pizza.

Si el resto lo dividen en dos partes:

15/15 - 11/15 = 4/15

el resto es de 4/15

al dividir este resto entre los dos:

(4/15) / 2 = 4/(15*2) = 4/30 = 2/15

A cada uno le tocarían:

2/15

del total de la pizza