Using exponential properties, it is found that the equivalent expressions are given by:
[tex]3^6[/tex].[tex]3^{-4} \times 3^{10}[/tex][tex]3^0 \times 3^8[/tex].(3 · 3) · (3 · 3 · 3 · 3)What happens in the multiplication of two terms with the same base and different exponents?We keep the base and add the exponents, that is:
[tex]a^b \times a^c = a^{b + c}[/tex]
In this problem, we want an expression equivalent to:
[tex]3^2 \times 3^4 = 3^{2 + 4} = 3^6[/tex]
The equivalent expressions have the same result, hence, they are:
[tex]3^6[/tex].[tex]3^{-4} \times 3^{10}[/tex][tex]3^0 \times 3^8[/tex].(3 · 3) · (3 · 3 · 3 · 3)More can be learned about exponential properties at https://brainly.com/question/234372
3^6 Or A
3^-4 · 3^10 or C
3^3 · 3^3 Or E
(3 · 3) · (3 · 3 · 3 · 3) Or H
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What is the slope of the line that passes through the points (-1,-10) and (-1,-2)?
Answer:
Infinite; no slopeStep-by-step explanation:
Because both points have -1 as X they are both located on the same line
This gives them no slope
Use the Pythagorean theorem to find the distance from Emma’s house to the pool.
Pythagorean theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]
When rewritten for coordinates plane:
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
where d is distance and (x,y) are the points.
Write down the coordinates of Emma's house and The Pool.
It is (-5,-3) and (2,2).
Substitute the numbers.
[tex]d=\sqrt{(2-(-3))^{2}+(2-(-5))^{2}}[/tex]
Calculate.
[tex]d=\sqrt{(5)^{2}+(7)^{2}}[/tex]
You should get [tex]\sqrt{74}[/tex] as your answer.
ANSWER ASAP THEIRS A SCREEN SHOT TO HELP SHOW
AND TELL WHY PLEASE
A lumberjack needs to climb a tree to place a satellite tower in the tree top in the woods. The satellite signal needs to reach a horizontal distance of 3500 meters along the ground. If the angle of elevation from the farthest distance along the ground that the satellite reaches to the satellite in the tree is 18 degrees, what is the radius of the satellite signal? Round your answer to the nearest meter.
Radius of the satellite signal = meters
Answer: I use clickcaculators.com ;)
Step-by-step explanation:
given teach trig ratio as a fraction in simplest form:sin(N)
Answer:
Choice #1: sq rt 3/2
Step-by-step explanation:
cos N=8/PN
PN=16
tan N=PO/8
PO=13.86
sin N=13.86/16=0.866=sq rt 3/2
calculate the Unknown Missing angle measures
Answer:
Step-by-step explanation:
c=180-123=57
b=180-123=57
d=180-57-55=68
a=180-68-57=55
a,b,c,d=55, 57, 57, 68 degrees
H
(3n - 15)°
(2n + 5)º
E
F
G
What is the value of n ?
Write the equation of the line in slope-intercept form that goes through the points (4, -2) and (8, -9)
Answer:
y = 17/6 x - 40/3
Step-by-step explanation:
Slope-intercept form: y = mx + b
First, let's find the slope:
slope formula: (y2-y1) divded by (x2-x1)
(4, -2) and (8, -9)
(-9 - 8) divded by (-2 - 4) = 17/6
We found m, now we have to find b.
The new equation: y = 17/6 x + b
Insert any of the two points, in this case, I'll insert (4, -2)
-2 = 17/6 (4) + b
-2 = 68/6 + b
b = -2 - 68/6
b = -40/3
Overall equation: y = 17/6 x - 40/3
Solve by factoring: x2 – 9x + 20 = 0
A. x = - 4 and x = - 5
B. x = 4 and x = 5
C. x = 20 and x = - 9
D. x = - 4 and x = 5
Show your work
Answer:
Answer
Given equation is:
x
2
−9x+20=0
⇒x
2
−5x−4x+20=0
⇒(x−4)(x−5)=0
⇒x=4andx=5
x
-3
-2
-1
0
1
2
3
3
4.95
8.1675 13.476375
f(x) 0.6678... 1.1019... 1.8181...
g(x) 0.125 0.25
0.5
1
2
4
8
0.25
0.5
0.75
1
1.25
1.5
1.75
h(x)
k(x)
64
16
4
0
0.25
0.0625
0.0156
O A. h(x)
B. f(x)
OC. k(x)
D. g(x)
k(×)×95=-0.75 sume k+95=***
g(x) is the function from the table which gives values that could come from the exponential function.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the function from the table which gives values that could come from the exponential function.
The exponential function is a mathematical function denoted by .
As we observe the g(x) function.
When x =1, g(x)=2
x=2, g(x)=4
x=3, g(x)=8
g(x)=2ˣ is the required function which is in exponential form
Hence, g(x) is the function from the table which gives values that could come from the exponential function.
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if you could answer this that would be so appreciated :).
Given are the lengths of two sides of a triangle. Find the range of the lengths for the third side. this is triangle inequality theorem.
1. 3.6, 10.8
2. 6.9, 3.2
3. 6, 4
I’m sorry for spam but I really need help
Only answer is you know the answer plz!
Answer:Triangle Inequality Theorem
The Triangle Inequality theorem states that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
The Converse of the Triangle Inequality theorem states that
It is not possible to construct a triangle from three line segments if any of them is longer than the sum of the other two.
The length of s is greater than 3 and less than 11
Step-by-step explanation:
300 ml of pure alcohol is poured from a bottle containing 2 l of pure alcohol. Then, 300 ml of water is added into the bottle. Again 300 ml of the diluted alcohol is poured out and 300 ml of water is added into the bottle, Find the percentage of pure alcohol in the solution now.
Answer:
The present percentage of pure alcohol in the solution is 72.25% of pure alcohol
Step-by-step explanation:
The volume of pure alcohol poured from the 2 l bottle of pure alcohol = 300 ml of pure alcohol
The volume of water added into the bottle after pouring out the pure alcohol = 300 ml of water
The volume of diluted alcohol poured out of the bottle = 300 ml of diluted alcohol
The volume of water added into the bottle of diluted alcohol after pouring out the 300 ml of diluted alcohol = 300 ml of water
Step 1
After pouring the 300 ml of pure alcohol and adding 300 ml of water to the bottle, the percentage concentration, C%₁ is given as follows;
C%₁ = (Volume of pure alcohol)/(Total volume of the solution) × 100
The volume of pure alcohol in the bottle = 2 l - 300 ml = 1,700 ml
The total volume of the solution = The volume of pure alcohol in the bottle + The volume of water added = 1,700 ml + 300 ml = 2,000 ml = 2 l
∴ C%₁ = (1,700 ml)/(2,000 ml) × 100 = 85% percent alcohol
Step 2
After pouring out 300 ml diluted alcohol from the 2,000 ml, 85% alcohol and adding 300 ml of water, we have;
Volume of 85% alcohol = 2,000 ml - 300 ml = 1,700 ml
The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol = 85/100 × 1,700 = 1,445 ml
The total volume of the diluted solution = The volume of the 85% alcohol in the solution + The volume of water added
∴ The total volume of the twice diluted solution = 1,700 ml + 300 ml = 2,000 ml
The present percentage of pure alcohol in the solution, C%₂ = (The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol)/(The total volume of the diluted solution) × 100
∴ C%₂ = (1,445 ml)/(2,000 ml) × 100 = 72.25 %
The present percentage of pure alcohol in the solution, C%₂ = 72.25%
Jane bought a jacket that costs $49.95 plus a sales tax of 8%. How much sales tax did Jane pay for the jacket?
A) $54.07
B) $45.83
C) $5.00
D) $4.12
Answer:
$3.996
Step-by-step explanation:
8%=0.08
49.95*0.08=3.996
hhhheeeepppp pleas e e e e e e e e e e e e e e branlist
Answer:
27
Step-by-step explanation:
a+b/2 times h
thats teh formula for the area of a trapezoid so a and b are the top and bottom sides of the trapezoid
so 6 on the bottom and 3 on the top
add those and it equals 9 then divide by 2 gives us 9/2
then the height would be 6
so we multiply 9/2 by 6 giving us 54/2
simplified equals 27 so ur answer would be 27 units squared
Answer:27
Step-by-step explanation:
If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?
Offering 30 points,, please help! will mark brainliest:)
The solution to the given linear function at f(1) when calculated gives an output value of; 8
How to Solve Linear functions?We are given the linear function represented by the equation;
f(x) = 7(x - 1) + 8
Now, to find f(1) simply means we substitute 1 for x in the given expression to obtain;
f(1) = 7(1 - 1) + 8
f(1) = 8
Thus, the solution is; f(1) = 8
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Complete the equations so that the solution of the system of equations is (-3, 5)
On a map the distance between Juneau and Fairbanks is 5 inches. The approximate distance is 625 miles. The distance between Denver and Fairbanks is 19.5 inches on the same map. What is the approximate distance from Denver to Fairbanks to the nearest mile?
Answer:
The answer for this question is 2,437.5 or rounded 2,438.
Step-by-step explanation:
5 goes into 19.5, 3.9 times to get that take 19.5÷5 to get 3.9. Then take 625×3.9 to get the total of 2,437.5 miles for your answer.
Answer:
Step-by-step explanation:
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Help please
|2x + 5| = 11
Step-by-step explanation:
[tex]2x + 5 = 11 \\ 2x = 11 - 5 \\ 2x = 6 \\ x = 6 \div 2 \\ x = 3[/tex]
86x4=?
4x4=
3x3=
Who wanna z00m?
Answer:
86×4 = 344
4×4= 16
3×3= 9
Step-by-step explanation:
I hope it help
Answer: 344, 16, 9
Step-by-step explanation:
A set of 25 two digit numbers are listed below 10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98. What is the probability of the sum of the number's digits is odd?
Answer:
0.48
Step-by-step explanation:
Given the data:
X:
10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98
Sum of each of the numbers :
1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17
Probability that sum of the number's digit is odd:
Number of odd sum / total numbers
Number of odd sum = 12
Total numbers = 25
12 / 25
= 0.48
250 gramı 3.75 TL olan peynirin 1 kilogramı kaç liradır?
Answer:
3.75•4=15 TL dir .......
find JQ if Q is the incenter of JLN
Answer:
Find each measure. 9. NP. ANSWER: 14. 10. PS.
Step-by-step explanation:
The length of JQ is 18.79 unit.
What is Pythagoras theorem?According to the Pythagoras theorem, a triangle's hypotenuse square equals the sum of its other two sides' squares.
Given:
Q is the incenter of JLN
QP= QK= QM= 9 units
Now, In Δ JPQ
JP= 16.5, QP =9 , QP⊥ JP
So, JQ = √JP² + QP²
JQ= √16.5²+ 9 ²
JQ= 18.79 units
Hence, the length of JQ is 18.79 unit.
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1/4 to 1/2
Find a percent of change, round to the nearest 10th of a percent if necessary.
__% of increase or decrease (ANSWER ASAP)
Given:
[tex]\dfrac{1}{4}\text{ to }\dfrac{1}{2}[/tex]
To find:
The percent of change, round to the nearest 10th of a percent.
Solution:
We have,
Initial value = [tex]\dfrac{1}{4}[/tex]
New value = [tex]\dfrac{1}{2}[/tex]
We know that, the percentage change is
[tex]\%\text{ change}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]
Putting the given values, we get
[tex]\%\text{ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]
[tex]\%\text{ change}=\dfrac{\dfrac{2-1}{4}}{\dfrac{1}{4}}\times 100[/tex]
[tex]\%\text{ change}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]
[tex]\%\text{ change}=1\times 100[/tex]
[tex]\%\text{ change}=100\%[/tex]
Here, the % change is positive, it represents the percent increase.
Therefore, the percent of change is 100% of increase.
Help me please!! An emergency!!
A polynomial equation with rational coefficients has the roots 5, sqrt6, 3, -sqrt7. Find two additional roots.
Thank you!
Given:
A polynomial equation with rational coefficients has the roots [tex]5, \sqrt{6}, 3, -\sqrt{7}[/tex].
To find:
The two additional roots.
Solution:
According to the irrational root theorem, if [tex]a+\sqrt{b}[/tex] is a root of a polynomial, then [tex]a-\sqrt{b}[/tex] is also the root of that polynomial.
It is given that, [tex]\sqrt{6}\text{ and }-\sqrt{7}[/tex] are roots of a polynomial.
By using irrational root theorem, [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex] are also the roots of that polynomial.
Therefore, the two additional roots are [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex].
Can someone help me find the area of this ? If you can thank you so much , it's been awhile since I've done it
Answer:
185
Step-by-step explanation:
Hope this helps
What is the circumference of a circle with a diameter of 15 inches
Answer:
C=47.1
Step-by-step explanation:
take the diameter(15) and multiply it by pi(3.14).
15 x 3.14 = 47.1
I need help with this question. I need to find the perimeter of the hexagon RSTUVW.
9514 1404 393
Answer:
47.71
Step-by-step explanation:
Two "special" triangles are involved.
ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.
ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.
For ΔSWR, the side SW is given as 6, so the other sides are ...
WR = 6√3
RS = 2(6) = 12
For ΔUVW, the side WU is given as 8, so the other sides are ...
UV = VW = 8/√2 = 4√2
Then the perimeter of the figure is ...
P = RS +ST +TU +UV +VW +WR
P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71
pls Help!.. help help help
Jaxon invested $960 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,720
Answer: 10 years
Step-by-step explanation:
1720=960(1+0.061/12)
Please Help! Ill give brainliest no fakes PLEASE!!
Answer:
4 and then 15
Step-by-step explanation:
second one: 6:4
last one: 15:10
