Answer:
6,561
39,204
25,575
52.5625 - 7.5625 = 45
Step-by-step explanation:
(i)
(81)^2
Use (a + b)^2 = a^2 + 2ab + b^2
(81)^2 = (80 + 1)^2 =
= 80^2 + 2 * 80 * 1 + 1^2
= 6400 + 160 + 1
= 6561
(ii)
(198)^2
Use (a - b)^2 = a^2 - 2ab + b^2
(198)^2 = (200 - 2)^2 =
= 200^2 - 2 * 200 * 2 + 2^2
= 40,000 - 800 + 4
= 39,204
(iii)
165 * 155
Use (a + b)(a - b) = a^2 - b^2
165 * 155 = (160 + 5)(160 - 5) =
= 160^2 - 5^2
= 25,600 - 25
= 25,575
(iv)
(7.25)^2 - (2.75)^2
Use a^2 - b^2 = (a + b)(a - b)
(7.25)^2 - (2.75)^2 =
= (7.25 + 2.75)(7.25 - 2.75)
= 10(4.5)
= 45
express cos6mcos2m as a sum or difference
Given :
An expression (cos 6m)(cos 2m) .
To Find :
We need to express it in terms as sum or difference.
Solution :
We know,
cos( A + B ) = cosA cos B - sin A sin B
cos( A - B ) = cosA cos B + sin A sin B
Adding both the equations we get :
2cos A cos B = cos( A + B) + cos( A - B )
or
cos A cos B = cos( A + B) + cos( A - B )/2
Putting value of A = 6m and B = 2m in above equation, we get :
(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2
(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2
Hence, this is the required solution.
are these answers right?
Answer:
Yes, good job! :)
Question 8 HELPPPPPPPPPPPPPP
Answer:
it would be at 3
cause double negatives cancel out- if u c something like -- or -(-) they would become a positive- so you would plot it at positive 3
hope this helps (again lol)
<33
Step-by-step explanation:
Answer:
plot at 3
Step-by-step explanation:
a negative number times another negative number will result in a positive number
therefore, - (-3)=3
Will give crown will post one more
Answer:
1 is 22; 2 is 19; 3 is 16; 4 is 13; 5 is 10
Step-by-step explanation:
Give me that crown again
Answer:
22, 19, 16, 10
Step-by-step explanation:
y = 25-(3*1)= 22
y = 25-(3*2)= 19
y = 25-(3*3)= 16
y = 25-(3*5)= 10
J.T has twelve songs on his playlist. Ken has five times as many. How many songs does Ken have on his playlist?
Answer:
60 Songs
Step-by-step explanation:
12 * 5= 60
Question 2 of 20
Which of the following is the range of the function based on the input-output
table below?
Hours
of training
5
10
15
Pay
per month
1100
1200
1300
20
1400
25
1500
30
1600
1700
35
A. (1100, 1200, 1300, 1400, 1500, 1600, 1700}
B. 1700, 35,1600, 30, 1500,25)
C. (5.10, 15, 20, 25, 30, 35)
D. (5, 1100, 15.1200, 25, 1300)
Given:
The function on the Input output table.
To find:
The range of the given function.
Solution:
We know that, range is the set of output values.
From the given table it is clear that, hours of training is the input variable and pay per month is the output value.
So, range of the given function is the set of pay per month.
Range = {1100, 1200, 1300, 1400, 1500, 1600, 1700}
Therefore, the correct option is A.
use the table to find the slope
Match each decimal with its percent equivalent.
1. 1.5 10%
2. 0.15 15%
3. 0.01 150%
4. 0.1 1%
Answer:
1.5 = 150%
.15 = 15%
.01 = 1%
.1 = 10%
Please give brainliest
Answer:
1.5 = 150%
.15 = 15%
.01 = 1%
.1 = 10%
Step-by-step explanation:
Please help!
Solve 4(3x +2) = 17x + 6 - 5x + 2
Select the correct choice below and, if necessary fill in the answer box to complete your choice
• A. X = _
• B. The equation has infinitely many solutions.
•c. The equation has no solution.
Answer:
I know that the equation has infinity many solution
12x+8=12x+8
That would be the final answer
Evaluate. -2 1/4 -(-3 2/5).
Answer:
1 3/20
Step-by-step explanation:
1. Make them all into fractions:
-8/4 -1/4 -(-15/5 -2/5)
2. Add like-terms:
-9/4 -(-17/5)
3. A negative times a negative makes a positive:
-9/4 +17/5
4. Identify the least common denominator (LCD):
20
5. Apply:
-9x5/4x5 +17x4x/5x4
6. Solve:
-45/20 +68/20
7. Result:
23/20, simplified 1 3/20
Round the numbers to estimate the quotient.
29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction
Which numbers should be used?
÷
The estimated quotient is
Answer: 29 divided by 5 5 4/5
Step-by-step explanation: EDGE 2022
plz help fast!!
The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d?
A) 4 km
B) 9 km
C) 48 km
D) 16 Km
Answer:
D. 16 km
Step-by-step explanation:
Hope this helps!
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suppose that an individual has a body fat percentage of 14.4% and weighs 128 pounds. How many pounds of his weight is made up of fat? round your answer to the nearest tenth.
need help again math 7th grade
Answer: 1/2 as a fraction
.5 as a decimal
Step-by-step explanation: The probability of them rolling a number would be 3/6 or simplified 1/2 because if there is a 6 sided dice the denominator would be 6 and there are 3 odd numbers on the dice which are 1,3,and 5 so if u have to simplify it would be 1/2 if not 3/6. Also 1/2 as a decimal would be .5
Answer:
Fraction: 1/2, Decimal: 0.5
Step-by-step explanation:
From numbers 1 to 6, 3 of them are odd numbers, 1, 3, and 5
So 3/6 of the numbers are odd numbers, now we have to see if we can simplify 3/6, which u can, 3/6 = 1/2
1/2 is ur fraction, to find ur decimal divide 1 by 2, and u get 0.5
If 4 raffle tickets is 6 dollars how much is 1 raffle ticket
Yesterday, there were 45 problems assigned for math homework. Malia got 36 out of 45
problems correct. What percentage did Malia get correct?
PLEASE HELP
Answer:80
Step-by-step explanation: if you do 45:100% and then x36 you get the result
Find the slope of the line that passes through (8,6) and (4,15)
Solve the equation 8(3x - 6) = 6(4x + 8). Does the equation have one solution, no solution, or infinitely many solutions? Explain. ( worth two point, answer and explanation)
⠀⠀⠀⠀
Equation have No solutions
⠀⠀⠀⠀
______________________
⠀⠀⠀⠀
➤ How to solve ?⠀⠀⠀⠀
For solving such problems we need to recall equations .
⠀⠀⠀⠀
When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
⠀⠀⠀⠀
SolutiOn :➠ 8( 3x - 6 ) = 6(4x + 8 )
➠ 24x - 48 = 24x + 48
Now, we will bring the variable on left hand side and constants on right hand side
➠ 24x - 24x = 48 + 48
➠ 0 = 48 + 48
➠ 0 = 96
As we can see the equation have end with a undefined value the equation have no solutions
➠ No Solutions
━━━━━━━━━━━━━━━━━
A store sells 4 T-shirts for $38.64. What is the unit cost per T-shirt?
Answer:
9.66
Step-by-step explanation:
38.64/4
9.66
SOLVE ASAP:
mass of 42.5 and a volume of 5.4 cm3 what is its density
Answer:
7,870,370
give me brainliest
NEED HELP ASAP, WILL GIVE BRAINLIEST
What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Given:
The equation of circle is
[tex](x+3)^2+y^2=9[/tex]
To find:
The polar form of given circle.
Solution:
We have,
[tex](x+3)^2+y^2=9[/tex]
[tex]x^2+2(x)(3)+(3)^2+y^2=9[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex](x^2+y^2)+6x+9=9[/tex]
Subtracting 9 from both sides, we get
[tex](x^2+y^2)+6x=0[/tex]
We know that, [tex]x^2+y^2=r^2[/tex] and [tex]x=r\cos \theta[/tex].
[tex]r^2+6(r\cos \theta)=0[/tex]
[tex]r(r+6\cos \theta)=0[/tex]
[tex]r=0[/tex] and [tex]r+6\cos \theta=0[/tex]
We know that, r is radius it cannot be 0. So,
[tex]r+6\cos \theta=0[/tex]
[tex]r=-6\cos \theta[/tex]
Therefore, the correct option is A.
Una familia, formada por 3 adultos y 6 niños, va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €. Por cada 3 entradas que se compran rebajan 4 €. ¿Cuánto paga la familia?
Answer:
La familia paga 72 €.
Step-by-step explanation:
Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.
Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.
3 adultos* 12 €= 36 €
Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.
6 niños* 8 €= 48 €
Sumando el total pagado por la entrada para adultos y para niños se obtiene:
36 € + 48 €= 84 €
La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:
3 "packs" de 3 entradas* 4 €= 12 €
Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:
84 € - 12 €= 72 €
Finalmente, la familia paga 72 €.
4x-5y+30=0 in slope-intercept form
Answer:
y=4/5x+6
Step-by-step explanation:
6. Michelle orders cupcakes that come in a carboard box. The box has the dimensions shown. What is the perimeter of the base? b. What is the height of the box? What is the area of the base
9in,10in,11in
iogmkiuAnswer:
Step-by-step explanation:
gjkih
Please help this is math equation!
SIKE lol
Answer:
oop lol
Step-by-step explanation:
welp
Answer:
oop hello mortals how are yall doing
a force of 12N acts for 5 s on a mass of 2 kg. What is the change in momentum of a mass of 10kg under the same condition
Answer:
The change in momentum is: 60 N.s
Step-by-step explanation:
By Newton's second law:
F = ∆p / ∆t
Given that
∆t = 5sF = 12NUsing the formula to determine the change in momentum
F = ∆p / ∆t
∆p = F × ∆t
= 12 × 5
= 60 N.s
Therefore, the change in momentum is: 60 N.s
What is the interest you will pay if you borrowed $550 at 8% interest for 3 years?
Answer:
132
Step-by-step explanation:
it is
Simple interest is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
The interest that will be paid after 3 years with 8% interest is $132.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
We have,
P = $550
R = 8%
T = 3 years
SI = (P x R x T) / 100
SI = (550 x 8 x 3) / 100
SI = $132
Thus,
The interest that will be paid after 3 years with 8% interest is $132.
Learn more about simple interests here:
https://brainly.com/question/25845758
#SPJ2
Which fraction is not equivalent to 9/12
PLEASE HURRY
Answer:
1/2
1/2 = 50%
9/12 = 75%
Step-by-step explanation:
What is the compliment of a 45 degree angle
The complement of 45° is the angle that when added to 45° forms a right angle (90° ).