Answers
Answer:
a) 4 to the 14th power
b) 12 to the 9th power
c) 5 to the 7th power
d) 7 to the 3rd power
Step-by-step explanation:
a) [tex]4^{6}[/tex] · [tex]4^{8}[/tex] equals 4 to the 14th power.
Using the Product Rule of Exponents:
[tex]a^{m} a^{n} = a^{m+n}[/tex]
You could add the exponents since they have the same base.
b) [tex]12^{6}[/tex] · [tex]12^{3}[/tex] equals 12 to the 9th power.
Same Product Rule applies as we did in problem a).
c) [tex]\frac{5^{10} }{5^{3} }[/tex] equals 5 to the 7th power.
Using the Quotient Rule of Exponents:
[tex]\frac{a^{m} }{a^{n} } = a^{m - n}[/tex]
You'll have to subtract the exponents since they have the same base.
[tex]\frac{5^{10} }{5^{3} } = 5^{10 - 3} = 5^{7}[/tex]
d) [tex]\frac{7^{6} }{7^{3} }[/tex] equals 7 to the 3rd power.
Same Quotient Rule applies as we did in problem c).
[tex]\frac{7^{6} }{7^{3} } = 7^{6 - 3} = 7^{3}[/tex]
Related Questions
what happens with the reflection about the y-axis
Answers
Answer:
the x-value becomes negated
Step-by-step explanation:
(x,y) -> (-x,y)
someone help me please
Answers
Answer:
∛27 = 3
Step-by-step explanation:
A radical is simply a fractional exponent: [tex]a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }[/tex]
Hence, ∛27 = [tex]27^{(\frac{1}{3})}[/tex]
Since 27 = 3³, then:
You could rewrite ∛27 as ∛(3)³.
[tex]\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}[/tex]
Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the multiplicative inverse of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
Therefore, ∛27 = 3.
Does anyone know or get what to do here? Please help
Answers
Answer:
`1
Step-by-step explanation:
Solve for x.
7)
B) 7
Di 12
C) -2
Answers
Answer:
x = - 7
Step-by-step explanation:
Sum of interior angles is a triangle is 180,
70 + 55 + 62 + x = 180
187 + x = 180
x = 180 - 187
x = - 7
Answer:
C) -7
Step-by-step explanation:
1. All the angles in a triangle add up to 180°. This means that x + 62 + 70 + 55 = 180.
2. (Solving equation above)
Step 1: Combine like terms.
[tex](x)+(62+70+55)=180[/tex] [tex]x+(132+55)=180[/tex] [tex]x + 187=180[/tex]Step 2: Subtract 187 from both sides.
[tex]x+187-187=180-187[/tex] [tex]x = -7[/tex]Step 3: Check if solution is correct.
[tex]-7+62+70+55=180[/tex] [tex]55+70+55=180[/tex] [tex]125+55=180[/tex] [tex]180=180[/tex]Therefore, the answer is C) -7.
What will be the new coordinates for I?
Answers
453.86452 rounded to 2dp
Answers
Answer:
2 dp= 453.86
have a nice day <3
453.86452
to find:2 decimal place of 453.86452
solution:to round off to 2 dp, if the digit in thousandth place is 5 or more round up, if not keep it as it is.
=453.86
hence, the 2dp of 453.86452 is 453.86
1) A jewelry store bought 8 beautiful diamond necklaces. Each necklace cost $9,000. How
much did the jewelry store spend on the necklaces?
Answers
Answer:
$72,000
Step-by-step explanation:
Since, a jewelry store bought 8 beautiful diamond necklaces and each cost $9,000 that means;
1 = $9,000
2 = $18,000
3 = $27,000
4 = $36,000
5 = $45,000
6 = $54,000
7 = $63,000
8 = $72,000
or to summarize;
9,000 x 8 = $72,000
As a result, the jewelry store spend $72,000 on the necklaces.
RevyBreeze
the water slide is 6 feet tall and the end of the slide is 9 feet from the base of the ladder about what slope does the slide have?
Answers
The slope of an object is the ratio of the rise to the run. It measures the degree of steepness of an object or a projection. Hence. The slope of the slide is 1.5
Height of water slide = 9 feetsHorizontal length = 6 feetsSlope = Rise / Run
From the question ;
Height of water slide = Rise Horizontal length = RunHence,
Slope = 9 / 6 = 3/2 = 1.5
Therefore, the slope of the water slope ls 1.5.
Learn more : https://brainly.com/question/25211791
please help I have 16 minutes left someone please answer this
Answers
1/2 x + 2 = x - 2
Multiply both sides by 2
2 × ( 1/2 x + 2 ) = 2 × ( x - 2 )
x + 4 = 2x - 4
Add both sides 4
x + 4 + 4 = 2x - 4 + 4
x + 8 = 2x
Subtract both sides x
x - x + 8 = 2x - x
x = 8Can someone please help me?
Answers
Answer:
[tex]cosx=\frac{67}{77} =>x=29.5[/tex]
Step-by-step explanation:
find the product of 0.56x0.3=
Answers
Step-by-step explanation:
product : 0.56×0.3 = 0.168
hope this helps you.
2/7 divided by 6
Plz I need help and fast
Answers
b) 105^2 as a product of its prime factors.
Answers
Answer:
11025 = 3^2×5^2×7^2 (6 prime factors, 3 distinct)
Step-by-step explanation:
[tex]3 {}^{2} \times 5 {}^{2} \times 7 {}^{2} [/tex]
Answer:
3²×5²×7²
Step-by-step explanation:
Hope this helps
Pls write all the answers and explanations
Answers
Answer:
I did this i got 5,-2
Step-by-step explanation:
sry if wroung i got this right on my test and passed
Are these two equations parallel, perpendicular, or neither?
y = 5/4x + 17 and -5x + 4y = -16
Answers
Answer:
they are parallel
Step-by-step explanation:
f(a) = (a + 2)
g(a) = 5a + 4
Evaluate.
g(f(-2)) =
Answers
Answer:
here's the answer -2gf
Step-by-step explanation:
hope this helps
For g(x) = −4x, find g(x) when x = −6 and when x = 2.
Answers
answer;
when x=-6
g=4
when x=2
g = 4
Step-by-step explanation
every where you see x put -6 there
g(-6)=4(-6)
-6g=-24
-6g/-6=-24/-6
g=4
when x= 2
anywhere you see x put 2 there
g(2)=4(2)
2g=8
2g/2=8/2
g=4
Mathematics of inequality
Answers
An
chọn A
Step-by-step explanation:
3x-5>= 4x-3
<=>x <= -2( -2;-3;-5)
Answer:
3x - 5 > 4x - 3
-1 is the answer (A)
Step-by-step explanation:
3 ounce serving up today provides 21 g of protein is equivalent ratios to find how many grams of protein are in 9 ounces of tuna
Answers
Answer:
Step-by-step explanation:
63 grams because 21 x 3 = 63
Divide. (x^3-9x-4)-:(x^2-3x+2)
Group of answer choices
x+3+(-20x+2)/(x^2-3x+2)
x-6 +(-20x+8)/(x^2-3x+2)
x+3 +(-2x-10)/(x^2-3x+2)
x-3 + (2x-10)/(x^2-3x+2)
Answers
Answer:x+3+(-20x+2)/(x^2-3x+2)
Step-by-step explanation:
Original price: $60; Markup: 15%; Retail price:
Answers
Answer:
Retail Price = $69
Step-by-step explanation:
Original Price = $60
Markup = %15
Retail Price = $60 + (0.15 * $60)
Solve:
We can say that 60 is 100% of 60 or 1 x 60
So the equation is:
1 x 60 + 0.15 x 60 = Retail Price
1.15 x 60 = Retail Price
Retail Price = 69
-Chetan K
Answer:
Original Price is $60
But it is markup 15%
(15x60) / 100 = 9
the 15% of 60 is 9
60 + 9 = 69
Now the retail price is $69
Step-by-step explanation:
A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to the surface. What integer represents the dive ring's final position with respect to the surface of the water.
Answers
The final position of the dive ring with respect to surface of water ls 0.
Representing position using integer :
10 feets below the surface = - 10
To recover the ring, then, Sabine needs to 10 feets below the surface.
The surface the water = sea level position = 0
Since, Sabine takes the ring back to the surface, then the final position of the dive ring will be the sea level.
The final position of the dive ring = 0
We know that we use negative sign in integers to show a value is decreased or dropped and positive sign to show increase or rise.
Given : A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to the surface.
i.e. Integer represents the distance Sabine dives down = -10 feet (1)
and Integer represents to come back to surface = +10 feet (2)
Now, the final position will be (combine (1) and (2)) :
-10+10=0
Thus, the integer represents the dive ring's final position with respect to the surface of the water = 0
what is the estimate
of 8x 60
Answers
Answer:
480
Step-by-step explanation:
8 x 60 = 480
Hope this helped! Have a wonderful day! :)
6^4 • 3^4 and 18^8, Are the expressions equivalent? I’m only talking about C in the photo.
Answers
Hey there!
6^4 * 3^4 = ?
6^4
= 6 * 6 * 6 * 6
= 36 * 36
= [1,296]
3^4
= 3 * 3 * 3 * 3
= 9 * 9
= [81]
1,296 * 81
= [104,976]
6^4 * 3^4 = [104,976]
Now let’s see if 18^8 is equivalent to 18^8
18^8
= 18 * 18 * 18 * 18 * 18 * 18 * 18 * 18
= 324 * 324 * 324 * 324
= 104,976 * 104,976
= [11,019,960,576]
Therefore, 11,019,960,576 ≠ 104,976 because It is way too big to be equations answer
Answer: [NO], they aren’t equivalent because 18^8 is too big to equal to 6^4 * 3^4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
1. What is the cost of 3 Bur Oak trees? Show your work.
Answers
Answer:
$96
Step-by-step explanation:
Write the slope intercept form of the equation of the line through the given point with the given slope.
(3,4) Slope=0
Answers
There is 0 slope.
There is a Y value of 4.
pls mark brainliest
can you guys do 2 and 4 for me solve for x
Answers
Answer:
2) DE = 25
4) LN = 27
Solve for x:
[tex]x=17[/tex]
Step-by-step explanation:
2) [tex]41-16=25[/tex]
4) [tex]x+10 = 3x-24; x=17[/tex]; [tex](17)+1=18; 18+9 = LN; LN=27[/tex]
Tip:
DE + EF = DF
LM + MN = LN
4x+8<2x+2
this has quite a bit of points
Answers
Answer:
x= −3Step-by-step explanation:
4x+8<2x+2
Subtract 2x from both sides.
4x+8−2x<2
Combine 4x and −2x to get 2x.
2x+8<2
Subtract 8 from both sides.
2x<2−8
Subtract 8 from 2 to get −6.
2x<−6
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x<
2
−6
Divide −6 by 2 to get −3.
x<−3
Hope this helps :)
Pls make brainliest :3
And have an amazing day <3
Answer: x < -3
Step-by-step explanation:
[tex]\sqrt{49}[/tex] = ____
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
± 7
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
A square root of a number is a number that multiplies by it's self to produce a desired product. We are asked to find the square root of 49.⸻⸻⸻⸻[tex]\text{\textbf{Since...}}\\\\7 * 7 = 49\\\\-7 * -7 = 49 \text{ \textbf{ REMEMBER:} Two negative numbers would have a positive product.}\\\\\text{We can conclude that...}\\\\\boxed{\sqrt{49} = \pm 7}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Plz plz help fast
I will mark Brainlyist
Answers
Answer: BUL
Step-by-step explanation:
Answer:
⃤ RED = ⃤ BUL
By rule Rotation