Complete the following to use the difference of two squares to find the product of 22 and 18.( + )( - ) =( )2 - ( )2 =396

Answer:151

Step-by-step explanation:

Answer:

151

Step-by-step explanation:

Answer:

if the question is -2 (7-15) /4 then the answer would be 4 but the question did not make much sense.. sorry if im wrong

Step-by-step explanation:

use pemdas left to right

The dilated triangle has vertices

The coordinates of the vertex of the triangle before dillation is given as

P (-6, 4 )

Q (2, 8)

R (2, -4)

To dilate a figure by a scale factor of 1/2, we need to multiply the coordinates of each point by 1/2.

The coordinates of P are (-6, 4). Multiplying by 1/2, we get:

(-6 * 1/2, 4 * 1/2) = (-3, 2)

The coordinates of Q are (2, 8). Multiplying by 1/2, we get:

(2 * 1/2, 8 * 1/2) = (1, 4)

The coordinates of R are (2, -4). Multiplying by 1/2, we get:

(2 * 1/2, -4 * 1/2) = (1, -2)

Therefore, the dilated triangle has vertices P'(-3, 2), Q'(1, 4), and R'(1, -2).

Learn more about dilated triangle at:

https://brainly.com/question/29634916

#SPJ1

320 senior citizens paid for admission at the Family Fine Arts Center on that weekend evening.

Let's use the given information and these terms in our answer:
Let x represent the number of adult tickets sold, and y represent the number of senior citizen tickets sold.

We have two pieces of information that can be expressed as equations:
The total number of tickets sold: x + y = 511

The total receipts: 20x + 10y = 7020.
Now let's solve this system of equations step by step:
Solve the first equation for x:
x = 511 - y

Substitute the expression for x from Step 1 into the second equation:
20(511 - y) + 10y = 7020

Simplify the equation by distributing the 20:
10220 - 20y + 10y = 7020
Combine like terms:
-10y = -3200
Divide by -10 to find y:
y = 320.

For similar question on admission.

https://brainly.com/question/15207922

#SPJ11

Answer:

24 would be the correct answer.

Step-by-step explanation:

24 would be the correct answer because 2/3 x 18 + 12 = 24.

Making 2/3 the the fraction that was used and already installed.

Making 18 the number of the already installed applications

Making 12 the number of the additional installed applications.

I hope this helped!!!

Answer: 6

Step-by-step explanation:

Answer:

it's equal to 6/1!!

Step-by-step explanation:

The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

Given parallelogram A B C D below, DE = 31 If EB = x - 7.

By the definition, then the equation is given as,

EB = DE

x - 7 = 31

Simplify the equation, then we have

x - 7 = 31

x = 31 + 7

x = 38

The value of the variable 'x' is 38.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ1

The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.

It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.

Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.

As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.

The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.

While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.

Learn more about sοciοpοlitical type

https://brainly.com/question/30779615

#SPJ4

Answer: present age of father=42

               present age of son=14

Step-by-step explanation:

let x=present age of father

56-x=present age of son

10 yrs ago:

x-10=age of father

56-x-10=46-x=age of son
age of father=8 times age of son

x-10=8(46-x)

x-10=368-8x

9x=378

x=42

56-x=14

present age of father=42

present age of son=14

The 2 ft 3 in. semicircular section of the window and the 4 ft 6 in. by 4 ft 6 in. of the square section gives;

a. The area of the semicircular pane is approximately 1145.1 in.²

b. The square section is 2916

c. The entire window has a perimeter of approximately 354.82 inches

a. The given radius of the semicircular pane, r = 2 ft. 3 in. = 27 in.

The area of the semicircular pane is therefore;

A = 0.5 × π × 27² ≈ 1145.1

b. The area, A, of the 9 panes of glass, disregarding the window trim is found using the equation for the area of a square, as follows;

A = Side × Side

The area of the 9 panes is therefore;

A = 4 ft. 6 in. × 4 ft. 6 in.

Which gives;

A = 54 in. × 54 in. = 2916 in.²

c. The perimeter of the entire window, P, is given by the sum of the perimeter of the semicircular pane, P1, and the perimeter of the 9 square window panes, P2, as follows

P1 = 54 + π×27

P2 = 4 × 54

Which gives;

P = 54 + π × 27 + 4 × 54 ≈ 354.82

Learn more about finding the area of a plane figure here:

https://brainly.com/question/17193351

#SPJ1

Answer:

Step-by-step explanation:

10 feet (in the dining room) = 10 * 12 = 120 inches. The units should both be inches.

Part A

120 inches / 6 inches. Both are in inches.

20 is the scale factor.

I can't do the second part.

Answer:

120/6=20

Step-by-step explanation:

Answer:

She will donate P-50/3 each time

Step-by-step explanation:

Now assuming total donation needed to be in the silver category Is P

We can assume also the three additional and equal donations be Q

So

Then 50 + 3Q = P

So we still don't know P

We can get Q by saying

3Q= P - 50

Q = (P - 50) /3

Provided that 70% of US households have cable television and a random sample of 18 households is selected, the probability that exactly 12 households have cable television is 18.73% determined by using binomial distribution.

The binomial distribution, as provided in the question, refers to the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

The binomial distribution formula for any random variable is:

P(x:n,p) = nCx px (1-p)n-x

P(x:n,p) = n!/[x!(n-x)!].p^x.(1-p)^n-x

Where n is the number of experiments, x is a random variable, and p is the probability of success in a single experiment.

n = 18

x =12

p = 0.7

P = 18!/[12!(18-12)!].0.7^12.(1-0.7)^18-12

P = 18!/[12!(6)!].0.7^12.(0.3)^6

P = 18!/[12!(6)!].0.7^12.(0.3)^6

P = 0.1873

Hence, the probability of exactly 12 households having cable is 18.73%

Learn more about Binomial distribution:

https://brainly.com/question/15246027

#SPJ4

The probability that out of 8 newly hired people is 3.2.

According to the statement

we have given that the some conditions and based on these conditions we have to find the probability that out of 8 newly hired people.

So, For this purpose,

we have given that the

new employee in a fast-food chain still being with the company at the end of the year is  0.5

Now, we See that is probability of remaining with the company.

There is only one is 0.5.

According to the probability law

P + Q = 1

and this become

Q = 1 - 0.60.

And the probability of one people hired is Q.

Then

Q = 0.4

And probability that out of 8 newly hired people is

8Q = 0.4 * 8

it become 3.2.

So, The probability that out of 8 newly hired people is 3.2.

Learn more about probability here

https://brainly.com/question/24756209

#SPJ1

To determine the factor by which the amount in the account increases every month, every year, and every 5 years, we need to consider the growth rate of the account.

This can be calculated using the formula for compound interest, which takes into account the interest rate and the compounding period. By applying this formula with the appropriate time periods, we can find the factors by which the account balance increases.

The factor by which the amount in the account increases every month can be calculated using the formula for monthly compounding. Let's say the monthly interest rate is r. The factor would then be (1 + r).

Similarly, the factor by which the amount increases every year can be calculated using the formula for annual compounding. Let's say the annual interest rate is R. The factor would be (1 + R).

For every 5 years, we can calculate the factor using the formula for compounding over multiple years. Let's say the interest rate for 5 years is Y. The factor would be \((1 + Y)^5.\)

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ11

Answer: distributive property

Step-by-step explanation:

Answer:

As we can observe,

F(1) = 567

F(2) = 189 = 567/3 = F(1)/3

F(3) = 63 = 189/3 = F(2)/3

=> F(4) = F(3)/3 = 63/3 = 21

Hope this helps!

:)

Answer:

21 then 7

Step-by-step explanation:

The contact force F3→2 that box 3 exerts on box 2 during the acceleration is 82.45N.

The solution to the problem is:

Calculation of contact force F1→2

The net force on the 2nd box is given by,

\(F_{net,2}=m_2a\\= 4.5 kg×0.90 m/s^2\\=4.05N\)

The contact force F1→2 that the 1st box exerts on the 2nd box is given by

\(F_{1→2}=F_{net,2}−w_1 \\= 4.05 N - 3.5 kg×9.8m/s^2\\=-32.95N\)

Thus, the contact force F1→2 that box 1 exerts on box 2 during the acceleration is -32.95N.

Calculation of contact force F3→2

The net force on the 2nd box is given by,

\(F_{net,2}=m_2a \\= 4.5 kg×0.90 m/s^2\\=4.05N\)

The weight of the 3rd box is given by,

\(w_3 = m_3g \\= 8.0 kg×9.8m/s^2\\=78.4N\)

The contact force F3→2 that the 3rd box exerts on the 2nd box is given by,

\(F_{3→2}=F_{net,2}+w_3\\=4.05N+78.4N\\=82.45N\)

Thus, the contact force F3→2 that box 3 exerts on box 2 during the acceleration is 82.45N.

Know more about force here:

https://brainly.com/question/12785175

#SPJ11

Answer: The answer is (x+2)(x-4)(x-4)
Or as a short form you can write it as \((x+2) (x-4)^{2}\)

Step-by-step explanation:

Answer is very lengthy but I am 100% sure that's the correct answer

Answer:

(x³ - 6x² + 32) = (x - 4)²(x + 2)

Step-by-step explanation:

(x³ - 6x² + 32)/(x - 4) =

           x² - 2x - 8

          ----------------------------------

x - 4    |  x³ - 6x² + 0x + 32

             x³ - 4x²

            ----------

                  -2x² + 0x

                  -2x² + 8x

                 ----------------

                            -8x + 32

                            -8x + 32

                           -------------

                                       0

(x³ - 6x² + 32) = (x - 4)(x² - 2x - 8) = (x - 4)(x - 4)(x + 2) =

= (x - 4)²(x + 2)

Answer:

angle A and C are both Equal and sides BC and BA of the triangle are congruent

Step-by-step explanation:

Answer:

d = 0.0625 m

Step-by-step explanation:

The velocity of an object dropped from a tall building is given by :

\(v=\sqrt{64d}\)

Where

d is the distance in feet

We need to find the distance when the velocity is 32 ft/s

Rearranging for d,

\(v^2=64d\\\\d=\dfrac{64}{v^2}\)

Put v = 32 ft/s

\(d=\dfrac{64}{32^2}\\\\d=0.0625\ m\)

So, the required distance is 0.0625 m.

The property states that when two vectors a and b are multiplied together, the result is equal to the negative of b multiplied by a. This can be shown by multiplying the components of both vectors and then multiplying the result by -1.

a×b = (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

= (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

= (−1) * (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

= (−1) * (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1)

= − b × a.

The property a × b = − b × a states that when two vectors a and b are multiplied, the result is equal to the negative of b multiplied by a. This can be proven by first expanding the components of both vectors. For a vector a=(a1,a2,a3) and b=(b1,b2,b3), the expanded form of a×b is (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1). This can then be multiplied by -1 to get the expanded form of -b×a, which is (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1). Since this is equal to the original form of a×b, this proves the property.

Learn more about vector here

https://brainly.com/question/15709504

$SPJ4

Answer:

8u - 20

Step-by-step explanation:

Answer:

The answer to your question would be 4 7/12

Step-by-step explanation:

I hope this helps and have a wonderful day!

The length of r, to the nearest 10th of an inch, is 2.4 inches.

The relationship between the sides and angles of non-right (oblique) triangles is defined by the Law of Sines. Simply put, it states that the ratio of the length of a triangle's side to the sine of the angle opposite that side is the same for all triangle sides and angles.

Given that in ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°. The value of side r will be calculated by using the sin angle theorem.

The value of r is,

r / sin21 = s / sin129

r = 5.2 x ( sin21/sin129)

r = 5.2 x 0.46

r = 2.4 inch

To know more about the sin angle theorem follow

https://brainly.com/question/17307144

#SPJ1

To determine whether the unprocessed gravel at the plant is increasing or decreasing at time t = 5 hours, we need to evaluate the rate of change of the unprocessed gravel function, G(t), at that specific time.

Given that G(t) = 90 + 45 cos(t) represents the rate at which unprocessed gravel arrives at the plant in tons per hour, we can find the derivative of G(t) with respect to t, which will give us the rate of change of the function:

G'(t) = -45 sin(t)

Now, we substitute t = 5 into the derivative G'(t) to evaluate the rate of change at that time:

G'(5) = -45 sin(5)

To determine whether the unprocessed gravel is increasing or decreasing at t = 5 hours, we examine the sign of the derivative at that point. If G'(5) is positive, it means the function is increasing, and if G'(5) is negative, it means the function is decreasing.

Calculating G'(5):

G'(5) = -45 sin(5)

Using a calculator or mathematical software, we find that sin(5) is approximately 0.087.

G'(5) = -45 * 0.087

G'(5) ≈ -3.915

Since G'(5) is negative, the unprocessed gravel at the plant is decreasing at t = 5 hours.

Learn more about statistics here:

https://brainly.com/question/29765147

#SPJ11

The decibel level is 115.

From the question, we have

The decibel level is

\(D=10log \frac{I}{I_o}\\=10log \frac{10^{0.5} }{10^-12}\\\\=10log10^{11.5} \\=10*11.5=115\\\)

Decibel:

Since some noises are dangerous, we can measure the sound that surrounds us in order to be protected and informed. In actuality, loud noise can harm our hearing. Decibel is the unit of measurement for sound intensity. Because the human ear is so sensitive, you can hear anything, including a tremendous thunderclap, when your fingertip lightly brushes across your skin. The sound of a thunderclap is roughly 1,000,000,000,000 times more powerful than the tiniest audible sound in terms of power. That really does make a difference! Let's study more about the decibel unit in this article.

To learn more about decibel visit: https://brainly.com/question/26848451

#SPJ9

This question doesn't make sense.Are you sure you wrote it correctly?

Answer:

17

Step-by-step explanation:

Answer:

plot 17

Step-by-step explanation:

12-(-5) = 12+5 = 17

Answer:

I think the answer is B

Step-by-step explanation:

She divided the numbers wrong