What is the area of the triangle abc?

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

Step-by-step explanation:

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:

If 2/a, a/8, and 63% = 63/100 are in numerical order, then

2/a < a/8 < 63/100

Multiply each "side" of the inequality by 8a :

16 < a² < 126a/25

a has to be a whole number, and since 4² = 16, we must have at least a ≥ 5.

Divide through by a :

16/a < a < 126/25 = 5 + 1/25

Then at most, a ≤ 5.

So, both a ≥ 5 and a ≤ 5, which means a = 5.

Just to check that the list is in order, we have

2/a = 2/5 = 0.4

a/8 = 5/8 = 0.625

and 0.4 < 0.625 < 0.63.

Answer:

whats the question? not enough info

Answer:

See below.

Step-by-step explanation:

(2,1),(7,4)

4-1=3

7-2=5

3/5 is the slope.

-hope it helps

Answer:

slope = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2,1) and (x₂, y₂ ) = (7, 4) ← 2 points on the line

m = [tex]\frac{4-1}{7-2}[/tex] = [tex]\frac{3}{5}[/tex]

The best price is $6.50, and the maximum revenue that the school can get is $2,112.50.

Given that the starting price for a ticket for a high school play is $5, and the auditorium capacity is 400 people, and the organizer estimates that for every 10 cent increase in the ticket price 5 fewer people will attend the play, to determine what is the best price and what is the maximum revenue that the school can get, the following calculation must be made:

Therefore, the best price is $6.50, and the maximum revenue that the school can get is $2,112.50.

Learn more about price determination in https://brainly.com/question/13806160

Answer:

but we need the shape.. to know which is the big and the little basement..

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

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:

1:400

Step-by-step explanation:

1 m = 100 cm

72 m = 7200 cm

Ratio of model size to real size

18 cm : 7200 cm

Divide both numbers by 18.

1 cm : 400 cm

Divide both sides by cm.

1:400

Answer:

D

Step-by-step explanation:

Answer:

13 tables

Step-by-step explanation:

Just do 78÷6 to get your answer

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:

2.11 inches long and 2.11 inches wide

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:

c

Step-by-step explanation:

Answer: I think A but im not 100% sure

Step-by-step explanation:

sorry if i let you down...

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:

b

Step-by-step explanation:

Answer:

im pretty sure its 12

Step-by-step explanation:

you have to do 1012 divided by 78 and you get 12.97, but since he wants them to all be 78 feet long, it cant be 13.

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:

Two and hundredths

Step-by-step explanation: I'm in college so I think I am capable of answering a middle school question thank you very much, and make sure to mar me brainliest.

Answer:

13/24

Step-by-step explanation:

divide both sides by 10.

pls mark brainliest

Answer:

13/24

Divide the numbers by 10.

[tex]\frac{130/10}{240/10} = \frac{13}{24}[/tex]

With that information, the answer is 13/24.

Using the normal distribution, we got that expression for the z-score of her test score is

[tex]z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1[/tex]

it's a type of probability distribution which is  symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.

Given that mean =[tex]\mu=79[/tex]

and standard deviation =[tex]\sigma = 7[/tex]

X=73

we know that formula of z-score is

[tex]z=\frac{X-\mu}{\sigma}[/tex]

Hence Z-score can be calculated as

[tex]z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1[/tex]

Using the normal distribution, we got that expression for the z-score of her test score is

[tex]z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1[/tex]

To learn more about the normal distribution visit : brainly.com/question/24663213

Answer:

72-29/7

Step-by-step explanation: i just took the test it's A

Answer:

A) equality function will hold

B) equality function doesn't hold

C)  equality function holds )

D) equality function doesn't hold

E) equality function holds

Step-by-step explanation:

a) ⌊⌈x⌉⌋ = ⌈x⌉ for all real numbers x.

The ceiling function will yield an integer, that is greater ≥ x.

Also the floor function when applied to an integer will yield the same integer value. hence the two sides will become the same Therefore the  equality function will hold

b) ⌊x+y⌋=⌊x⌋+⌊y⌋ for all real numbers x and y

The floor function of this statement yields a value that is ≤ inserted value and this makes the right hand side of the statement to be 1 less than the sum produced from the left hand side of the statement, therefore the equality function doesn't hold

c) ⌈⌈x∕2⌉ ∕2⌉ = ⌈x∕4⌉ for all real numbers x.

The ceiling function produces an integer that is ≥ value inserted and the integer gotten is divided by 2 and this serves a s an input to the ceiling function( which means X has been divide by 4 ) making the two sides of the equation the same ( equality function holds )

d)⌊√⌈x⌉⌋ = ⌊√x ⌋ for all positive real numbers x

The ceiling function is applied to the value inserted in x(on the left hand side ), and the result will not be equal to that in the right hand side.

Therefore the equality function doesn't hold

e) ⌊x⌋+⌊y⌋+⌊x+y⌋≤⌊2x⌋+⌊2y⌋forall real numbers x and y.

If the value of the fractional part of x or y is > 0.5, then the right hand side will be greater  than the left hand side by 1.

Otherwise, both left and right hand sides yield equal answers. therefore equality function holds

Answer:

1/2

Step-by-step explanation:

Answer:

D) 45 ounces for $4.50

Step-by-step explanation:

You have to find the price of one unit (ounce) for each. You can do this by dividing the price by quantity. The one with the lowest price is the best deal.

A) 32 ounces for $4.00

$0.13 for 1 ounce

B) 60 ounces for $6.75

$0.11 for 1 ounce

C) 48 ounces for $5.00

$0.11 for 1 ounce

D) 45 ounces for $4.50

$0.10 for 1 ounce

The best choice will be option D. That is 45 ounces for $4.50.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

You have to find the price of one unit (ounce) for each. You can do this by dividing the price by quantity. The one with the lowest price is the best deal.

A) 32 ounces for $4.00

$0.13 for 1 ounce

B) 60 ounces for $6.75

$0.11 for 1 ounce

C) 48 ounces for $5.00

$0.11 for 1 ounce

D) 45 ounces for $4.50

$0.10 for 1 ounce

The complete question is given below.

A company is trying to decide which container of coffee to buy for a staff meeting. Which of the following would be the best deal? Hint: find the best unit cost

Group of answer choices

32 ounces for $4.00

60 ounces for $6.75

48 ounces for $5.00

45 ounces for $4.50

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