The square of the quantity three less than a number n is seven(answer in an algebraic expression)

Explanation:

AAS = angle angle side

The arc markings show us which pairs of angles are congruent. The pair of congruent sides are the shared overlapping sides. Notice that the sides are not between the red angles, so we go for AAS instead of ASA. The order is important.

We cannot use SAS because we only know info about one pair of congruent sides (not two).

Answer:

Lee's flight would take 3.5 hours.

Step-by-step explanation:

1400 ÷ 400 = 3.5

Answer:

The train will travel 493.817 meters until it stops completely.

Step-by-step explanation:

In this case, we know that train applies the brakes and decelerates at constant rate until rest is reached after travelling an unknown distance. Travelled distance ([tex]\Delta s[/tex]), measured in meters, can be found by using this kinematic formula:

[tex]v^{2} = v_{o}^{2}+2\cdot a \cdot \Delta s[/tex] (Eq. 1)

Where:

[tex]v_{o}[/tex] - Initial speed, measured in meters per second.

[tex]v[/tex] - Final speed, measured in meters per second.

[tex]a[/tex] - Acceleration, measured in meters per square second.

Now travelled distance is cleared within the formula:

[tex]\Delta s = \frac{v^{2}-v_{o}^{2}}{2\cdot a}[/tex]

If we know that [tex]v_{o} = 22.222\,\frac{m}{s}[/tex], [tex]v = 0\,\frac{m}{s}[/tex] and [tex]a = -0.5\,\frac{m}{s^{2}}[/tex], then the distance travelled by the train is:

[tex]\Delta s = \frac{\left(0\,\frac{m}{s} \right)^{2}-\left(22.222\,\frac{m}{s} \right)^{2}}{2\cdot \left(-0.5\,\frac{m}{s^{2}}\right) }[/tex]

[tex]\Delta s = 493.817\,m[/tex]

The train will travel 493.817 meters until it stops completely.

Answer:

v² = v²0 + 2aΔx

Step-by-step explanation:

Answer:

[tex]\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Find\:Least\:Common\:Multiplier\:of\:}x^2-4,\:x^2-5x-14[/tex]

[tex]\mathrm{The\:LCM\:of\:}a,\:b\:\mathrm{is\:the\:smallest\:multiplier\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]

[tex]x^2-4[/tex]

[tex]\mathrm{Rewrite\:}4\mathrm{\:as\:}2^2[/tex]

[tex]=x^2-2^2[/tex]

[tex]x^2-2^2=\left(x+2\right)\left(x-2\right)[/tex]

[tex]=\left(x+2\right)\left(x-2\right)[/tex]

[tex]x^2-5x-14[/tex]

[tex]=\left(x^2+2x\right)+\left(-7x-14\right)[/tex]

[tex]=x\left(x+2\right)-7\left(x+2\right)[/tex]

[tex]=\left(x+2\right)\left(x-7\right)[/tex]

[tex]\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power:}[/tex]

[tex]\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)[/tex]

Answer:

  4√14

Step-by-step explanation:

You simplify a radical by removing squares from under it.

  [tex]\sqrt{224}=\sqrt{16\cdot14}=\sqrt{4^2\cdot 14}=\boxed{4\sqrt{14}}[/tex]

Answer:

Step-by-step explanation:

for every 10c there is 30c. for every 20c there is 125c.

[tex]\huge\underline\mathtt\colorbox{cyan}{320}[/tex]

Step-by-step explanation:

Answer:

16s^2 -9

Step-by-step explanation:

(4s+3)(4s–3)

FOIL

first : 4x*4x = 16s^2

outer -3 *4s = -12s

inner 3*4s = 12s

last = 3* -3 = -9

Add them together

16s^2 -12s+12s -9

Combine like terms

16s^2 -9

A(1,0)

B(0,-3)

C(-6,5)

D(-3,-5)

E(-1,4)

Answer:

[tex]36.25[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the cost of 5 bags of bulk cereal.

3 is to $21.75 as 5 is to [tex]x[/tex], this translates to the following

[tex]\frac{3}{21.75}=\frac{5}{x}[/tex]

Solving for [tex]x[/tex], we get [tex]x=36.25[/tex]

Answer:

5 bags of bulk cereal cost $36.24

Step-by-step explanation:

Answer:

192000 J

Step-by-step explanation:

k = 1/2 mv²

48000 = 1/2 x m x (20)²

48000 = 200m

m = 240 kg

new k

k = 1/2 x 240 x 40²

k = 192000 J

Answer:

1.) a- 9,00

b-43,000

d-8,000

e-41,000

g-7,000

h-56,000

j-16,000

Step-by-step explanation:

2.)

a-5

b-17

c-21

Answer:

1)

a. 9,000 bytes

b. 43,000 bytes

c. 9,600 bytes

d. 8,000 kilobytes

e. 41,000 kilobytes          f. 7,300 kilobytes

g. 7,000 MB                     h. 56,000 MB

i. 2,500 MB                       j. 16,000,000 Bytes

2)

a. 5

b. 17

c. 21

Answer:

y=3x-2

Step-by-step explanation:

For this problem, you can use the point-slope formula: y-y1=m(x-x1), with x1 and y1 being from the given coordinate, and m being the slope (which is 3 that can be seen in the equation). Since we're finding a line that is parallel to this line, the slopes of both equations are the same.

y-(1)=3(x-1)

y-1=3x-3

y=3x-2

Check:

(1)=3(1)-2

1=3-2

1=1

[tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

What is Parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

According to question, we have to write an equation of a line that is parallel to [tex]y = 3x - 9[/tex]  and passes through the point [tex](1, 1)[/tex]

Since, the line passes through [tex](1,1)[/tex] and have slope[tex]=3[/tex]

So, [tex]y-(1)=3(x-1)[/tex]

⇒      [tex]y-1=3x-3[/tex]

⇒            [tex]y=3x-2[/tex]

Hence, we can conclude that [tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

Learn more about Parallel lines here:

https://brainly.com/question/3346167?referrer=searchResults

#SPJ2

Answer:

D

Step-by-step explanation:

Answer:

-4.2 (least) < -2 < -1 < -4/5 < 3.5 (greatest)

| | is called absolute value, but you can ignore it as |-4.2| equals to -4.2

Answer:

When and why do people engage in different forms of proactive behavior at work? We propose that as a result of a process of trait activation, employees with different types of self-construal engage in distinct forms of proactive behavior if they work in environments consistent with their self-construals. In an experimental Study 1 (n = 61), we examined the effect of self-construals on proactivity and found that people primed with interdependent self-construals engaged in more work unit–oriented proactive behavior when job interdependence was also manipulated. Priming independent self-construals did not enhance career-oriented proactive behavior, even when we manipulated job autonomy. In a field Study 2 (n = 205), we found that employees with interdependent self-construals working in jobs with high interdependence reported higher work unit commitment and higher work unit–oriented proactive behavior compared to employees in low interdependent jobs. Employees with independent self-construals working in jobs with high autonomy also exhibited stronger career commitment and more career-oriented proactive behavior than did those in jobs with low autonomy. This research offers a theoretical framework to explain how dispositional and situational factors interactively shape people’s engagement in different forms of proactive behavior.

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

bc i just this it is

En total, durante los últimos meses la familia de Manuel ha consumido 792 kilos de productos de primera necesidad.

Arroz: 17+13+18= 48 kg

Fideos: 12+27+30 = 69 kg

Harina: 26+56+50= 132 kg

Aceite: 6+24+30= 60 kg

Avena: 8+16+20= 44 kg

Papa: 32+48+48= 128 kg

Frejol: 12+20+27= 59 kg

Alverja: 16+24+26= 66 kg

Pollo: 12+12+12= 36 kg

Carne de res: 8+10+10= 28 kg

Mazamorra: 8+25+28= 61 kg

Leche: 13+24+24=61 kg

48+69+132+60+44+128+59+66+36+28+61+61= 792 kilos

Nota: Esta pregunta está incompleta, a continuación se adjunta la parte faltante.

Aprenda más sobre sumas en: https://brainly.com/question/1456841

The measure of center best represents the data set is Mean or Median.

Given

Data Set Best Measure of Center {27, 29, 26, 28, 25}.

The mean is the average of a set of data.

The mean is found by finding the sum of the data and then dividing the sum by the number of data.

The mean of the given data set is;

[tex]\rm Mean = \dfrac{27+29+26+28+25}{5}\\\\Mean =\dfrac{135}{5}\\\\Mean =27[/tex]

Arranging the data set in the ascending order

{25, 26, 27, 28, 29}

The median is defined as the middle value of the given data set.

The median of the data set is 27.

Hence, the measure of center best represents the data set is Mean or Median.

To know more about mean and median click the link is given below.

https://brainly.com/question/1363341

The area of the shape is the amount of space on the shape

Using the assumed parameters, the area of the shape is 25 square units

The question is incomplete, as the shape is not given.

Assume the shape is a trapezoid, the area of the shape would be:

A = 0.5 * (sum of parallels sides) * height

Using the assumed values, we have:

Area = 0.5 * (12 + 13) * 2

Evaluate the product

Area = 25

Using the assumed values, the area of the shape is 25 square units

Read more about areas at:

https://brainly.com/question/24487155

Answer:

54

Step-by-step explanation:

Answer:

[tex]\bold\blue{x {}^{2} + 5x + 4} [/tex]

Here ,

we just need to substitute " x = - 5 " in the equation above.

[tex]\bold{x {}^{2} + 5x + 4} \\\bold{ ( - 5) {}^{2} + 5( - 5) + 4} \\ \bold{ \cancel{25} - \cancel{25} + 4} \\ \fbox\pink{⇢ 4}[/tex]

hope helpful ~

[tex] \huge \qquad \boxed{ \sf Aᥒsᥕᥱr ☂}[/tex]

let's plug in the value of x as -5, in the given expression ~

[tex] \qquad\rightarrowtail \sf {x}^{2} + 5x - 4[/tex]

[tex] \qquad\rightarrowtail \sf { (- 5)}^{2} + 5( - 5) - 4[/tex]

[tex] \qquad\rightarrowtail \sf 25 - 25 + 4[/tex]

[tex] \qquad\rightarrowtail \sf 4[/tex]

Therefore, we got the required value 4

Answer:

[0,9]

Step-by-step explanation:

The domain is the first set of the ordered pair. When finding the domain you are supposed to find which x value it starts from to where it ends. The x value starts from 0 and ends and the 9th unit on the x-axis which would give us 0,9 now since both points are closed you would use these symbols [ ] to show that it is closed meaning the answer would be [0,9]

Note:

I'm sorry if this is wrong but this is what I believe the answer is.

Answer:true

Step-by-step explanation:

[tex](\stackrel{a}{-35}~~,~~\stackrel{b}{-12})\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-35)^2+(-12)^2}\implies c=\sqrt{1225+144}\implies c=\sqrt{1369} \\\\\\ \underline{c=37}~\hspace{10em}sin(\theta )=\cfrac{\stackrel{opposite}{-12}}{\underset{hypotenuse}{37}}[/tex]

Answer:

Step-by-step explanation:

1/3 p, 9,9 are in the geometric sequence

9/ ( 1 1/3) = 27

3^3 = 27

So -- p = 1/3 x 3 = 1

q= 1 x 3 = 3

3 x 3=9