Mathematics High School

Di sediakan angka 4,5,6,7,8 dan huruf e,s,
f. Bila tidak boleh ada angka dan huruf yg sama, maka banyaknya.plat nomer yg dapat dibuat adalah

Answers

Answer 1
what does this even mean

Related Questions

Simplify (3x − 5) − (5x + 1).

−2x + 6

−2x − 6

2x − 6

2x + 6
can you please work this out for me?
thank you verymuch.

Answers

we have been asked to simplify

[tex] (3x-5)-(5x + 1) [/tex]

To Simplify this, we will first open the parenthesis, as below

[tex] (3x-5)-(5x + 1)=3x-5-5x-1\\
\\
\text{take the like terms together and simplify we get}\\
\\
(3x-5)-(5x + 1)=3x-5x-5-1\\
\\
(3x-5)-(5x + 1)=-2x-6\\
\\

[/tex]

Hence the simplified expression is -2x-6

Answer:

-2x-6

Step-by-step explanation:

what is the change of entropy for a heat engine using 500.0j at 20.0c

Answers

1.71 J/K 
hope it helps :D!!

The formula to find change in entropy is given by :

[tex] Change in entropy = \frac{Q}{T} [/tex]

where Q is change in heat and T is temperature.

We are given Q = 500 joule and T = 20 degree C

Plugging these values in the formula,

[tex] Change in entropy = \frac{500}{20} [/tex]

We get change in entropy = 25 J/Celsius.


Find the midpoint of the line segment whose endpoints are (7,5) and (7,11)

Answers

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 7 &,& 5~) % (c,d) &&(~ 7 &,& 11~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{7+7}{2}~~,~~\cfrac{11+5}{2} \right)\implies \left( \cfrac{14}{2}~~,~~\cfrac{16}{2} \right)\implies (7~,~8)[/tex]

With $3500 each, Martin and Edward opened separate accounts. Each account offered 4.5% interest over 10 years. At the end of 10 years, Edward earned more than Martin. Why? A. Edward invested for a different amount of time than Martin. B. Edward had a different interest rate than Martin. C. Edward earned compound interest, and Martin earned simple interest. D. Edward e

Soomeone helpppp meeee

Answers

Given that Edward and Martin invested the same amount of $3500, with interest rate of 4.5% and time period of 10 years: The difference in the amount of money will be brought about by different schemes in which they both invested the money. 
The interest earned from above cash under simple interest will be:
S.I=(PRT)/100
S.I=3500*4.5/100*10=$1575
the total amount after 10 years will therefore be:
1575+3500
=$5075

The same amount if it was compounded annually, the amount after 10 years will be:
FV=P(1+r/100)^n
FV=3500(1+3.5/100)^10
FV=4,937.10
we therefore conclude that the answer is:
Edward must have earned simple interest while Martin earned compound interest.

Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12

A. Step 1
B. Step 2
C. Step 3
D. Step 4

Answers

I believe a mistake was made on step 2.

5x-3(2x+7)=2x+9

This is the equation and Raul had to solve it for x

So he started with simplifying the parenthesis first

To simplify the parenthesis -3 gets multiplied with 2x and 7 , to get rid of parenthesis

So it came out to be

5x-3(2x+7)=2x+9

STEP-1

5x-6x -21 = 2x+9 , So the STEP-1 is correct,

After this in Step -2 , he has combined the like terms on left side, the like terms are 5x and -6x , 5x-6x should combine to -x , because 5-6 = -1

So

STEP-2

-x -21 = 2x+9 , So STEP -2 is INCORRECT

So he made a mistake in STEP-2

After that subtract 2x from both sides

-3x -21 = 9

add 21 to both sides

-3x = 30

divide both sides by -3

x=-10



Hence Option B is correct , he made a mistake in STEP -2

Hellllllllłllllllllllllllllllllllllllllllllllpp

Answers

150ft. Hope u get it right
129 ft is the correct answer

A 4040 inch wire is to be cut. one piece is to be bent into the shape of a​ square, whereas the other piece is to be bent into the shape of a rectangle whose length is twice the width. find the width of the rectangle that will minimize the total area. what is the width of the rectangle that will minimize the total​ area?

Answers

Let the square have sides s and the rectangle have sides r and 2r. 
perimeters: 40 = 4s + 2(r + 2r) = 4s + 6r → s = (1/4)(40 - 6r) = 10 - 1.5r areas: A = s² + 2r² = (10 - 1.5r)² + 2r² = 100 - 30r + 4.25r² 
Then dA/dr = 0 = 9.5r - 30 r = 30/9.5 = 3.16 in ← width of rectangle (length is twice the width) d²A/dr² = 9.5 > 0, so it is a minimum.

Which expression is equivalent to 6(2m – 1) – 4(m + 8)?
A. 8m – 38
B.8m + 7
C.2m – 38
D.8m + 31

Answers

6(2m – 1) – 4(m + 8)
12m-6       -  4m+32

8m+38 is the answer so thx and hope this helps and give me brainliest
Combine like terms which are 12m and 4m ,6 and 32.
12-4=8m
6+32=38

Final answer:

To find the equivalent expression to 6(2m - 1) - 4(m + 8), we first expand and simplify the given expression to 8m - 38, making option A the correct answer.

Explanation:

The question asks which expression is equivalent to 6(2m – 1) – 4(m + 8). To find the equivalent expression, we first expand both terms and then simplify the resulting expression.

First, distribute the 6 in the first expression: 12m - 6.Next, distribute the -4 in the second expression: -4m - 32.Combine like terms: (12m - 4m) + (-6 - 32) which simplifies to 8m - 38.

Therefore, the expression that is equivalent to 6(2m – 1) – 4(m + 8) is 8m - 38, which corresponds to option A.

The circumference (C) of a swimming pool is 47 feet. Which formula can you use to find the radius (r) if you know that C = 2πr ?

Answers

1. divide each side by 2π
2. you get r = c/2π

Answer:

r=C/2*pie

Step-by-step explanation:

I got it correct on TTM

factor the GCF: 15a+25b

Answers

The number that goes into 15 and 25 is 5. So after you factor this it would be 5(3a+5b). 
Final answer:

The factored form of the expression 15a + 25b with respect to the Greatest Common Factor (GCF) is 5 (3a + 5b). The GCF of 15 and 25 is 5.

Explanation:

To factor the Greatest Common Factor (GCF) from 15a + 25b, we first have to identify the GCF. The GCF of 15 and 25 is 5. Hence, we divide each term in the expression by this GCF.

We get: 5 (3a + 5b). So, the expression 15a + 25b factored by the GCF is 5 (3a + 5b).

Learn more about Factoring here:

https://brainly.com/question/33624529

#SPJ11

Triangle FGH is similar to JKM.

If f = 14.4 cm, g = 16.56 cm, h = 25.92 cm, and k = 9.2 cm, what is the measure of m?
A. 5.104 cm
B. 14.4 cm
C. 10.58 cm
D. 8 cm

Answers

k is similar to g
so we can find the scale that FHG was dilated by.
[tex]16.56 \div 9.2 = 1.8[/tex]
so the sides of the triangle KMJ were multiplied by 1.8.
to find m :
[tex]25.92 \div 1.8 = 14.4[/tex]
m=14.4
hope this helps

If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.

Answers

Let x represent the side length of the square. Then
  (x +4)*(x -5) +40 = x^2
  x^2 -x -20 +40 = x^2
  20 = x

The rectangle is 15 cm by 24 cm, and its area is 360 cm^2.

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perimeter. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Figure 1)

a) The area is A = 36( π - 2) ст²

b) The perimeter is P = 6 (π + 2√2) [tex]cm^2[/tex]

Figure 2)

a) The area is A = 576 cm²

b) The perimeter is P = 24(π+2) [tex]cm^2[/tex]

Figure 1)

a) To find the area of the figure 1 we have to do the substraction

The area of figure 1 is equivalent to the area of a triangle less the area of a quarter circle.

The area of quarter circle is equal to

A = 2

we have

r = 12 cm

Put the  value r as given

A = (12)2

A = 36 [tex]cm^2[/tex]

Area of a triangle formula is

A = (b)(h)

Given information,

b=12 cm

h = 12 cm

substitute

A = (12) (12)

A = 72 cm²

therefore

The area of the figure is

A = (36π - 72) [tex]cm^2[/tex]

Simplify

A = 36(π -2) [tex]cm^2[/tex]

b)

The perimeter of the figure 1 is equal to the circumference of a quarter circle plus the side AC of triangle

The perimeter of a quarter of circle is formula

C = 2πr

simplify

C = r

we have

r=12 cm

substitute

C = (12)

C = 67 cm

Find the length side AC

Applying the Pythagorean Theorem

[tex]AC^2 = 12^2 + 12^2[/tex]

[tex]AC^2 = 144+ 144\\AC^2 = 288\\AC = \sqrt{288}[/tex]

AC = 12√2 cm

P = (6π +12√2) cm

Taking 6 as a common multiplier we get

P = 6(π+2√2)

The perimeter of the figure 1 is

P = 6(π+2√2) cm

Part 2)

a) As we can see,

The area of a semicircle plus the area of a square less the area of a semicircle equals the area of figure 2.

The figure's area and the square's area are equal.

A = [tex]24^2[/tex]

A = 576 cm²

b) Find the perimeter of the figure 2

we know that

The perimeter of the figure 2 is equal to the length side AB plus the length side DC plus the circumference of two semicircles

The perimeter of the figure 2 is equal to two times the length side AB plus the circumference of one circle

P = 2(AB) + π D

P = 2(24) + π(24)

P = 48 +  π(24)

Take out 24

P = 24 (2 + π ) cm

How many times would a coin have to show heads in 50 tosses to have an experimental probability of 20% more than the theoretical probability of getting heads? 10 25 35 45

Answers

35. The theoretical probability of getting head is 50% for a fair coin. Since the experimental(the actual) probability is 20% more, the experimental probability is 50+20=70%. 70% percent of the coin tosses are heads. 50*70%=35.

Which expression is equivalent to 8+18a−2+6a? A.24a+6 B.24a + 10 C.8(1+2a)−(2+6a) D.30a

Answers

Hey there!

[tex]8 + 18a - 2 + 6a [/tex]

Combine Like terms: [tex]18a, 6a, \\ \\ 8,2 [/tex]

So, [tex](18a + 6a) = 24a \\ \\ 8+ (-2) = 6 [/tex]

[tex]Answer: 24a + 6 [/tex] would be [tex]equivalent [/tex] to: [tex]8 + 18a - 2 + 6a[/tex]

Good luck on your assignment and enjoy your day! 

~[tex]LoveYourselfFirst:)[/tex]

John Street Barber Shop pays $25 per month for water for the first 8,000 gallons and $3.50 per thousand gallons above 8,000. Calculate the total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons.

Answers

For this case, the first thing to do is find the equation of the line in order to model the problem mathematically.
 Using Excel (see attached image) we find that the equation of the line is:
 y = 0.0035x - 3

 We evaluate for:

 For x = 7000:
 y = 0.0035 * (7000) - 3
 y = 21.5 $

 For x = 10000
 y = 0.0035 * (10000) - 3
 y = 32 $

 For x = 13000
 y = 0.0035 * (13000) - 3
 y = 42.5 $

 Answer:
 The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is:
 21.5 $, 32 $, 42.5 $, respectively.

Final answer:

The John Street Barber Shop pays a flat rate of $25 for the first 8,000 gallons of water, with an additional charge of $3.50 per thousand gallons above this threshold. Accordingly, the total costs for using 7,000 gallons is $25, for 10,000 gallons is $32, and for 13,000 gallons is $42.50.

Explanation:

The John Street Barber Shop pays $25 per month for the first 8,000 gallons of water and $3.50 per thousand gallons above 8,000 gallons. To calculate the total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons, we follow this methodology:

For 7,000 gallons, since it's below 8,000 gallons, the cost is just the flat rate of $25.For 10,000 gallons, the cost is $25 for the first 8,000 gallons, plus $3.50 for each of the 2,000 gallons above 8,000. This gives $25 + ($3.50 * 2) = $32.For 13,000 gallons, the cost is $25 for the first 8,000 gallons, plus $3.50 for each of the 5,000 gallons above 8,000. This gives $25 + ($3.50 * 5) = $42.50.

Thus, the total costs for using 7,000 gallons, 10,000 gallons, and 13,000 gallons are $25, $32, and $42.50 respectively.

Amir's checking account charges a $9.75 monthly service fee and a $0.12 per-check fee. If Amir writes 15 checks per month, should he switch to a checking account that charges an $11.50 monthly service fee and no per-check fee

Answers


[tex]0.12(15) = 1.80 [/tex]
[tex]1.80 + 9.75 = 11.55[/tex]
Yes Amir should switch because it's a nickel less

What is 59.69 in expanded form

Answers

Expanded Notation Form:
 50 +9 + 0.6+ 0.09
Expanded Factors Form:
 5 × 10 +9 × 1 +6 ×  0.1+9 ×  0.01
Expanded Exponential Form:
5 × 101+9 × 100+6 × 10-1+9 × 10-2
Word Form:

fifty-nine and sixty-nine hundredths

which statement about sqrt x-5 minus sqrt x=5 true?

-3 is a true solution

-3 is a extraneous solution

9 is a true solution

9 is a extraneous solution

Answers

Answer:

9 is an extraneous solution.

Step-by-step explanation:

Extraneous solution is a solution that when plugged into the equation do not hold true.

Here we are given an algebraic equation in terms of single variable x as:

[tex]\sqrt{x-5}-\sqrt{x}=5-----(1)[/tex]

Now, we will solve this equation to obtain the solution as:

on squaring both side of the equation we obtain:

[tex](\sqrt{x-5}-\sqrt{x})^2=5^2[/tex]

[tex]x-5+x-2\sqrt{x-5}\sqrt{x}=25\\\\2x-5-2\sqrt{x-5}\sqrt{x}=25\\\\2x-30=2\sqrt{x-5}\sqrt{x}\\\\on\ dividing\ both\ side\ by\ 2\ we\ obtain:\\\\x-15=\sqrt{x-5}\sqrt{x}[/tex]

Again on squaring both side of the equation we obtain:

[tex]x^2+225-30x=(x-5)x\\\\\x^2+225-30x=x^2-5x\\\\225=-5x+30x\\\\225=25x\\\\x=9[/tex]

Now when we plug x=9 back to the original equation i.e. equation (1) we get:

[tex]\sqrt{9-5}-\sqrt{9}=5\\\\\sqrt{4}-\sqrt{9}=5\\\\2-3=5\\\\-1=5[/tex]

Hence, the equation does not hold true.

Hence, 9 is a extraneous solution

What is reconciling your bank statement?

Answers

Reconciling your bank statement is simply comparing your records to your monthly banking statement sent to you by your financial institution for any discrepancies or errors

Answer:

Compare your personal records to the bank's statement

WILL GIVE ABRAINLEST AND 50PTS


Which solution to the equation 3/a+2 + 2/a = 4a-4/a^2-4 is extraneous?

a= -2
a= -2 and a= 4
neither a= -2 and a= 4
a= 4

Answers

The solution to your question is a=-2. Hope this helped you. I just took the test. So I know it is right. Can you please give me Brainliest?

Answer:

a=-2 is extraneous solution.

Step-by-step explanation:

Given the equation

[tex]\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}[/tex]

we have to find the extraneous solution.

An extraneous solution is a solution to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

[tex]\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}[/tex]

[tex]\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}\\\\\frac{3a+2(a+2)}{a(a+2)}=\frac{4(a-1)}{a^2-4}\\\\\frac{5a+5}{a(a+2)}=\frac{4(a-1)}{a^2-4}[/tex]

On solving, we get

The solution is a=4 and a=-2

Here the solution a=-2 is the valid solution as it makes the denominator 0.

⇒ a=-2 is extraneous solution.

Option 1 is correct.

The rectangle is the image after a dilation with the center of dilation at the origin of rectangle ABCD. The pre-image of A' point A, has coordinates of (–4, 3.2). What is the scale factor of the dilation and what are the coordinates of point C?

Answers

Answer:

The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).

Step-by-step explanation:

Organize the following expressions from greatest to least by number of terms: x + 2xyz 9x2yz 18x2 + 5ab − 6y 4x3 + 3x2 − x − 4

Answers

i believe the answer would be 2xyz9x2yz18x2 - 6y4x3 + 5ab - 4. the x canceled itself out. 

Answer:

The answer is the option C

IV, III,I,II

Step-by-step explanation:

What happens to the area when the perimeter of square efgh efgh is doubled? explain.answers?

Answers

When linear measures are changed by a factor of k, area changes by a factor of k^2.

The area of EFGH will be multiplied by 4 if its perimeter is doubled.

_____
Original perimeter = s + s + s + s = 4s. Original area = s^2.
New perimeter = 2s + 2s + 2s + 2s = 8s. New area = (2s)^2 = 4s^2, 4 times the original area.

What is the value of x?

Enter your answer, as a decimal, in the box.

Answers

im not sure about this one but i think x is 60 since the line Ed basically bisects the angle E which also bisects the line GH in half so that 62=x+2 and then solve for the equation 

NEED HELP ASAP PLEASE HELP

Find m
Select one:
a. 120°
b. 100°
c. 90°
d. 80°

Answers

<DAB = 100
<DAE = 80
<EAC = 100
m must be somewhere, but I can't see it
D I think. It would have to make sense because 80° is the only one that doesn’t have a letter and M is shown as a letter on the graph! Hope this helps

Is the system of equations is consistent, consistent and coincident, or inconsistent?

y=−3x+12y=−6x+2

Select the correct answer from the drop-down menu.

Answers

The slope of (y=-3x+12) is -3 while the slope of (y=-6x+2) is -6. Therefore, it's Inconsistent. 
Coincident is one line on the graph
Consistent is two parallel lines

Answer:

The given system of equations is inconsistent.

Step-by-step explanation:

We have been given a system of equations and we are asked to find whether our given system of equation is consistent, consistent and coincident, or inconsistent.

[tex]y=-3x+12...(1)[/tex]        

[tex]y=-6x+2...(2)[/tex]

Since we know that a system of equations is inconsistent if it has no solution. Parallel lines are inconsistent because they do not intersect.

Consistent system of equations can have one or infinitely many solution. As if two lines are same then they will have infinitely many solution. If lines intersect at only one point, then they will have only one solution.

Now let us check slope of given lines.

Upon dividing equation (2) by 2 we will get,

[tex]y=-3x+1...(2)[/tex]

We can see that both lines have slope of negative 3. Since y-intercept of both equations are different, so they will not intersect at any point.

Since our given equations represent parallel lines, therefore, our given system of equations is inconsistent.

HELP PLEASE HELP HELP

Answers

[tex]( \sqrt{x} )^5=(x^{ \frac{1}{2} })^5=x^{ \frac{1}{2}*5 }=x ^{\frac{5}{2} }[/tex]

The answer is D

Parts of Complex Numbers
z=4.1i+85
Re(z)=_____
Im(z)=_____

Answers

Variable z = a+bi is normally used to represent a complex number.
where a is the real number of z (Re z) while b is the imaginary part of z (im z)
Therefore in this case; z=4.1 i +85, therefore
Re(z) =85
Im(z) = 4.1

HELP!!! Which of the following is not a perfect square trinomial? A. 169 – 26y + y2 B. 81 + 18y + y2 C. 64 + 8y + y2 D. 25 + 10y + y2

Answers

Let's review the options:
A. 169-26y+y^2 can be factorised into (13-y)(13-y)
B. 81+18y+y^2 can be factorised into (9+y)(9+y)
C. 64+8y+y^2 cannot be factorised into double brackets
D. 25+10y+y^2 can be factorised into (5+y)(5+y)

Therefore your answer is the odd one out, C.
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