Answer:
[tex]\left(-2\right)^3=-8[/tex]
Step-by-step explanation:
Given the expression
[tex](-2)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-2\right)^3=-2^3[/tex]
[tex]=-2^3[/tex]
[tex]=-8[/tex] ∵ [tex]2^3=8[/tex]
Therefore,
[tex]\left(-2\right)^3=-8[/tex]
Choose a justification for each step in the derivation of the sine difference identity.
Step 1:
Step 2: Distributive property
Step 3: Associative property
Step 4: Factoring out –1
Step 5:
Step 6:
Step 7:
The Sine difference function was derivated with the help of the sine sum function.
What is the sine difference function?The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.
As we know that
[tex]Sin(a+b) = SinaCosb + CosaSinb[/tex]..........(1)
If we replace b by -b equation (1) becomes
[tex]Sin(a+(-b)) = SinaCos(-b) + CosaSin(-b)[/tex]
We know that
Cos(-b) =cosb
Sin(-b) =-Sinb
So, [tex]Sin(a-b) = SinaCosb -CosaSinb[/tex]
Therefore, the Sine difference function was derivated with the help of the sine sum function.
To get more about the Sine function visit:
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Which system of equations represents the graph?
Answer:
B
Step-by-step explanation:
if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.
Solve using Elimination
3x+y=-9
y=5x+7
Answer
x=-2 and y=-3
Step-by-step explanation:
Step: Solvey=5x+7for y:
Step: Substitute5x+7 for y in 3x+y=−9:
3x+y=−9
3x+5x+7=−9
8x+7=−9(Simplify both sides of the equation)
8x+7+−7=−9+−7(Add -7 to both sides)
8x=−16
8x/8=−16/8
(Divide both sides by 8)
x=−2
Step: Substitute−2 for x in y=5x+7:
y=5x+7
y=(5)(−2)+7
y=−3(Simplify both sides of the equation)
is (3,2) a solution to 3x + 2y =13
Answer: yes
Step-by-step explanation:
(3*3) + (2*2) = 9+4 = 13 which is what the other side of the equation states so it is a solution
Answer:
Yes
Step-by-step explanation:
Plug the 3 into the x and plug the 2 into the y from (3,2)
So you get, 3(3) + 2(2)=13
9+4=13
help me plz with algebra!!!
Answer:
Y= -12
Step-by-step explanation:
i will give 100 pionts and branlyest to anyone who gits this right
If a scale drawing uses a scale of 1:12, then 2 1/2 inches on the model represents 2 1/2 feet. TrueFalse
Answer:
true
Step-by-step explanation:
Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.
Given:
Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.
In another shopping bag she has a 5-pound bag of flour.
The two shopping bags weigh the same amount.
To find:
The weight of each bag of dried beans.
Solution:
Let x be the weight of each bag of dried beans.
So, weight of 6 bags of dried beans = 6x.
According to the question,
Weight of first bag = (6x + 2) pounds
Weight of second bag = 5 pounds
The two shopping bags weigh the same amount. So,
[tex]6x+2=5[/tex]
[tex]6x=5-2[/tex]
[tex]6x=3[/tex]
Divide both sides by 6.
[tex]x=\dfrac{3}{6}[/tex]
[tex]x=0.5[/tex]
Therefore, the weight of each bag of dried beans is 0.5 pounds.
The weight of each bag of dried beans is 0.5 pounds.
Given that,
Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.Based on the above information, the calculation is as follows:
6x + 2 = 5
6x = 5 -2
6x = 3
x = 0.5
Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.
Learn more: brainly.com/question/24169758
Translate the sentence six less than the product of four and a number is -2 into an equation
Answer:
4x - 6 = -2
Step-by-step explanation:
i dont really know how to explain this one
Answer:
[tex]4x-6=-2[/tex]
Step-by-step explanation:
So since it says 6 is less than that means we will be putting the 6 in front of the number that's going to be 4x because the product of 4 and x is shown by 4x. Then lastly it says all "is -2" that means all that equals -2.
use the elimination method to solve the system of equations. choose the correct ordered pair x-y=2 2x+3y=14
Answer:
x = 4
y = 2
Step-by-step explanation:
x - y = 2
x = 2 + y
2x + 3y = 14
2(2 + y) + 3y = 14
4 + 2y + 3y = 14
4 + 5y = 14
5y = 10
y = 2
x - y = 2
x - 2 = 2
x = 4
Answer:
4,2
Step-by-step explanation:
I need help with this ASAP PLZ!!!!!!!!
Answer:
4. y = 2x -6
5. y = -x + 3
6. y = -[tex]\frac{1}{3}[/tex]x - 1
7. m= -4 and b=3
8. m= 1 and b=-7
9. y = 0.08x + 3
10. y= 3x - 19
11. y= -3x + 5
Step-by-step explanation:
Use the equation y = mx + b; where m is the slope and b is the y-intercept
4. given: m = 2 and y-int = -6; plug into equation
y = mx + b
y = 2x -6
5. given: m = -1 and y-int = 3; plug into equation
y = mx + b
y = -x + 3
6. given: m = -1/3 and y-int = -1; plug into equation
y = mx + b
y = -[tex]\frac{1}{3}[/tex]x - 1
7. given: y=-4x+3; slope m and y-intercept b are
m= -4
b=3
8. given: y=x-7; slope m and y-intercept b are
m= 1
b=-7
9. the monthly of $3 is fixed or starts the month; which is the y-intercept (another way to say is it is at 0 minutes) so b = 3. Now the rate is $0.08 per minutes and the rate is the same as the slope, m= 0.08
Using equation y=mx+b; substitute
y = 0.08x + 3
10. Given: (6,-1) and m= 3
use y=mx+b; substitute the y point into equation
-1 = 3x + b; substitue the x point into equation
-1 = 3(6) + b; solve for b
b = -19; now plug back into equation
y = mx + b or y= 3x - 19
11. Given: (2,-1) and m= -3
use y=mx+b; substitute the y point into equation
-1 = -3x + b; substitue the x point into equation
-1 = -3(2) + b; solve for b
b = 5; now plug back into equation
y = mx + b or y= -3x + 5
What is the mapping notation that will transform triangle ABC to triangle A'B'C'?
IF ANYBODY HAS ANSWERS TO THE TEST IM WILLING TO CASH APP
Answer:
Down 5 and left 3.
Step-by-step explanation:
Answer:
So it goes-8 for x and -5 for y aka to the left by 8 and down by 5
Step-by-step explanation:
Solve please
18 + 8x<34
Answer:
x=2
Step-by-step explanation:
He ran 10 meters in 2.7 seconds. priya ran 10 meters in 2.4 seconds.
who ran faster? explain how u know
Answer:
The first person somehow
Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667
PLZ HELP !!!!!!!!!!!!!!!!!!!!!!
Answer:
The last one
Step-by-step explanation:
We need to keep the variable on one side of the inequality
y-5 is greater than or equal to -4
+5 +5
y is greater than or equal to 1
So the last one is correct
Which equation is true when n = 1.2?
10n = 1.2
n + 1 = 1.2
5 + n = 6.2
1.2n = 10
Answer:
Step-by-step explanation:
ji
Answer:
5+n=6.2
Step-by-step explanation:
if n = 1.2
then its 5 +1+ .2 = 6.2 i think
ILL GIVE BRAINLIEST + 3O POINTS
Estimate the value of each square root by finding a whole number greater than and a whole number less than the square root
√ 15
√ 24
√ 7
√ 48
√ 83
√ 105
Answer:
i guess you have to find square root of every number
like of 15 is 3,87 therefore higher than it is 4 and less than it 3
Answer:
4 and 35 and 43 and 27 and 610 and 911 and 10Step-By-Step Explanation: (Rounded to nearest hundred)
Square Root 15 = 3.87; rounded up: 4, rounded down: 3Square Root 24 = 4.90; rounded up: 5, rounded down: 4Square Root 7 = 2.65; rounded up: 3, rounded down : 2Square Root 48 = 6.93; rounded up: 7, rounded down: 6Square Root 83 = 9.10; rounded up: 10, rounded down: 9Square Root 105 = 10.24; rounded up: 11, rounded down: 10slove the equation f-(-4)=12.
f =-8.
f =16.
f =8.
f = -9
Step-by-step explanation:
f-(-4)=12(Remove brackets)
f--4=12(Negative and negative is going to give you positive)
f+4=12(Group Like Terms)
f=12-4(Subtract)
f=8
Then that will be the final answer
Answer:
[tex]\huge\boxed{f=8}[/tex]
Step-by-step explanation:
[tex]f-(-4)=12\to f+4=12\qquad|(-)(-)\to(+)\\\\f+4=12\qquad|\text{subtract 4 from both sides}\\\\f+4-4=12-4\\\\f=8[/tex]
sixteen juice packs for 12 dollars. How many packs can you buy for $6?
Answer:
2
Step-by-step explanation:
Answer:
you can buy 6
Step-by-step explanation:
A new cookbook is becoming popular. The local bookstore ordered 4 copies in October, 6
copies in November, 9 copies in December, and 13 copies in January. If this pattern
continues, how many copies will the bookstore order in February?
Answer:
18 book copies
Step-by-step explanation:
As you can see, there is a pattern where you add the next number after x. To find where to start, let's subtract the numbers we were given:
6 - 4 = 2
9 - 6 = 3
13 -9 = 4
So our next number is to add 5 to 13: 5 + 13 = 18, so in February the bookstore will order 18 books.
I hope this helped, please mark Brainliest, thank you!
1. The following image shows a perspective view of one story building what perspective is the image you seen what do points A and B represent explain why
2. The following shows the image of the same building from a different perspective what perspective does a drawing show explain why
Answer:
1. Two point perspective view
The points A and B represents vanishing points where the sets of parallel lines representing the edges of the building converges
2. One point perspective view
The view shows the drawing of the building by lines that are parallel to the line of sight of viewer that converges to a (vanishing) point
Step-by-step explanation:
I need helppppp I forgot how to do this :(
a=associates / p=partners
1a= $800 / 1p= $1500
(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800
(x)a + (y)p = $z
hope this helps :)
How would you write 300000 + 400000 + 600 + 7 in standard form?
Answer:
700607
Step-by-step explanation:
How many solutions does the system have?
y= -5x - 1
y = -5.2 + 7
Answer: y= -5x - 1
y = -5.2 + 7
Step-by-step explanation: y= -5x - 1 has 3. y = -5.2 + 7 has 1
Find the area of the triangle.
Answer:
1325 yards squared
Step-by-step explanation:
As a reminder, the area of any triangle is the height times the width times 1/2. Therefore, the area is:
50*53*1/2
=25*53
=1325 yards squared
Answer:
The answer is 1325.
Step-by-step explanation:
1825-500=1325
Jade borrowed $5,000 from a bank to buy a car. She will pay back the loan in 3 years with simple interest, at an interest rate of 18% per year. What is the total amount that she will pay after 3 years?
pls i will give brainly
Answer:
$2,700
Step-by-step explanation:
Step-by-step explanation:
borrowed amount -$5000
interest rates -18% per year(3 years interval)
18/100 × 5000/1 =
90000/100=900
900×3=
2700
I.e in 3yrs she will pay
5000+2700=$7700
plsss help me out i’m really having trouble a trying to figure this out
I'm pretty sure it's C. Both.
Answer:
only table A is a function
Table B has two inputes with the same outpute so it is impossible to be a function. but two of the same inputes can have different outputs
What is the product? [-3 4 2 -5]x[3 -2 1 0]
Answer:
71829x
Step-by-step explanation:
Answer:
The correct answer is option A
Step-by-step explanation
You got this! keep going! :D
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
pls help me whats 45x57
Answer:
2565
Step-by-step explanation:
:)
Answer:
2565
Step-by-step explanation:
Deduce the square root of 7+4√3
2 -[tex]\sqrt{3}[/tex]
♥step by step♥7-4[tex]\sqrt{3}[/tex]
=7-2[tex]\sqrt{2x3}[/tex]
=7-2[tex]\sqrt{12}[/tex]
=([tex]\sqrt{3}[/tex])² - 2[tex]\sqrt{3x4}[/tex] + ([tex]\sqrt{4}[/tex] )
=( - [tex]\sqrt{3}[/tex] + [tex]\sqrt{4}[/tex])²
∴[tex]\sqrt{7-4}[/tex] [tex]\sqrt{3=2}[/tex] - [tex]\sqrt{3}[/tex]
♥plz give me brain list it would really help a lot! ♥
♥ お力になれて、嬉しいです！♥