Answer:
[tex]3^{10}[/tex]
Step-by-step explanation:
[tex]3^{8}*3^{2}=3^{8+2}=3^{10}[/tex]
Using the multiplication/product law of exponents, you can add the exponents up.
Answer:
3^10 and the law used would be the Product Rule for exponents.
Step-by-step explanation:
turning this question into an equation you would get:
3^8 * 3^2 = ?
The law you use in this situation is the product rule for exponents. If you have the same base number (in this case it is 3) with exponents and you are multiplying them, then you can add the exponent numbers and keep the base the same. This product rule looks like this:
A^x * A^y = A^(x+y)
Applying it to this question, you get
3^8 * 3^2 = 3^(8+2)
3^(8+2) is 3^10.
Therefore the simplified expression is 3^10.
7. The island is rich with hot chili peppers. You can collect 1.6 pecks a day. How many liters could you collect in 1 week?
The required liters of hot chili papers collected in a week is 98.56 liters.
What is a unit of measurement?Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.
1 peck = 8.8 liters
1.6 peck = 8.8 × 1.6 liters
1.6 pecks = 14.08 liters
So, in 1-week liter that could be collected is given as,
⇒ 14.08 × 7 [1 week = 7 days]
⇒ 98.56 liters
Thus, the required liters of hot chili papers collected in a week is 98.56 liters.
Learn more about measurement here:
brainly.com/question/12629581
#SPJ2
Ashley rolls a die, flips a corner, and then roll the die again. What is the probability that he will roll to our numbers And that the coin will land on heads?
Answer:
1/72
Step-by-step explanation:
Given that Ashley rolls a die, flips a corner, and then roll the die again.
Since he rolls a die two times, the number of total possible outcomes for each roll will be equal to 6
Also, the number of possible outcomes for a coin will be equal to 2
What is the probability that he will roll to our numbers And that the coin will land on heads
The probability will be
1/6 ×1/6 × 1/2 = 1/72
Convert the repeating decimal below into a fraction. - 0.6
Answer:
2/3
Step-by-step explanation
(6 times 10)-0
___________
9
6/9= 2/3
What is LaTeX: m\angle PQRm ∠ P Q R? Line PS with midpoint at Q and ray QR. Angle pqr is 3x-6 and angle rqs is x+2
Answer:
132°Step-by-step explanation:
If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).
Given
<PQR = 3x-6
<RQS = x+ 2
To get x, we will use the relationship above;
3x-6+x+2 = 180
4x-4 = 180
add 4 to both sides
4x-4+4 = 180+4
4x = 184
x = 184/4
x = 46
Since <PQR = 3x-6, we will substitute the value of x into the formula;
<PQR = 3x-6
<PQR = 3(46)-6
<PQR = 138-6
<PQR = 132°
Hence the size of angle PQR is 132°
Jacinta is very fast and ran 300 metres in 30 seconds. What is her speed in km/h?
Answer:
36km/h
hope this helps!
plzzzz Help!!!!!!
A plumber charges $55 for a service call plus $40 for each hour he works. If the total bill for a job costs $215, write an equation to represent the situation. 40 + 55 = x + 215 215 = x + 40 + 55 215 = 40 + 55x 215 = 40x + 55
Answer:
The answer is 215=55x+40 or 215=40+55x
Step-by-step explanation:
The reason it is that is because the plumber charges $55 for a service and he adds 40 for each hour he works so that is why this is the answer Remember the total bill cost 215 so that comes as the equation is equal to.
Hope that helps
HELP I DONT KNOW WHICH CHOICE TO PICK
Answer:
second option
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle
Given
hypotenuse = x[tex]\sqrt{2}[/tex] and
the combined length of the legs = 2x , then
perimeter = x[tex]\sqrt{2}[/tex] + 2x
I need help fast pls help
Answer:
third option
Step-by-step explanation:
Using the rule of radicals
[tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex] and [tex]\sqrt{-1}[/tex] = i
Given
[tex]\frac{\sqrt{-12} }{\sqrt{6} }[/tex] = [tex]\sqrt{\frac{-12}{6} }[/tex] = [tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex] = i[tex]\sqrt{2}[/tex]
Is the expression 5 + 3x 2always equal to the expression 4x? Explain your answer.
Help me find the slope please
18x + 3y = -21 slope intercept form
Answer: y=-6x-7
Step-by-step explanation:
Slope-intercept form is y=mx+b. This means, we want to isolate y.
18x+3y=-21 [subtract both sides by 18x]
3y=-18x-21 [divide both sides by 3]
y=-6x-7
Now, our equation is in slope-intercept form.
A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts.
Answer:
3(75) + 50C
Step-by-step explanation:
Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :
3(75) ----- Let that be equation (1)
If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1
However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C --- Let that be equation (2)
here, C represents the total amount of colors in the number of T-shirts
Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:
= 3(75) + 50C
Norah's hours worked and corresponding total earnings are shown in the
graph. What would Norah's total earnings be if she worked 11 hours? Hint:
What is her hourly rate?
Total earnings
40
30
20
10
4
0
3
Hours worked
A. $440
B. $110
Ο Ο Ο Ο
C. $220
D. $330
Answer:
B
Step-by-step explanation:
Answer:
$110
Step-by-step explanation:
APEX
PLEASE SHOW WORK!!
I WILL MARK YOU BRAINLIEST!! **ESPECIALLY IF YOU CAN EXPLAIN IT!
Step-by-step explanation:
x^2=9/49
√x^2=√9/49
x=+or-3/7
Is 225 a perfect square and a perfect cube?
Answer:
Yes, it is!
Step-by-step explanation:
Please help 30 points!!!!!!! Convert 45.25 mL into ft3.
This on the web one-way conversion tool converts volume or capacity units from milliliters ( ml ) into cubic feet ( ft 3 , cu ft ) instantly online. 1 milliliter ( ml ) = 0.000035 cubic feet ( ft 3 , cu ft ). How many cubic feet ( ft 3 , cu ft ) are in 1 milliliter ( 1 ml )? How much of volume or capacity from milliliters to cubic feet, ml to ft<sup>3</sup> , cu ft?
hope this helps!
Someone please help me with this geometry proof question ASAP!
Answer:
if ∠Q=∠R
draw an angular bisector from P to QR in which it intersect wit Qr at point S
now we have two triangle : QPS and RSP
in which angle : QPS=RPS ( PS is angular bisector)
and we have angle Q and angle R are equal
and PS is common side
this makes triangle QPS and RSP are congruent by AAS(angle angle side)
which also means that pQ=PR ( proved)
Can someone plss help mee ??
the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15 seconds the angle of elevation changes to 30 degree if the jet plane is flying at a constant height of 1500 root 3 metre find the speed of the jet plane
Answer:
200m/s
Step-by-step explanation:
Please see the attached pictures for full solution.
Give examples of two substances that look similar, but have different properties.
Answer:
Water and alcohol
Step-by-step explanation:
They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.
their smelltheir PHtheir densityfind the area of a shape
help me with this, please
Answer:
Correct Answer: Option A
Step-by-step explanation:
cos(x + 25o) = sin 45o
using cos θ = sin(90 - θ)
cos(x + 25o) = cos(90 - 45)
cos(x + 25o) = cos 45
x + 25 = 45
x = 45 - 25
x = 20o
Hope it helps ♡＾▽＾♡
8x + 4 = 3 (x-1) + 7'
it it is 30 little one
Two forces are given by j = (-2,1] and K = (-5,3), in
Newtons. What is the magnitude of j+k ?
A. [-7,4]
B. 8.06
C. 8.56
D. 11
Which quadrilateral is the result of rotating quadrilateral ABCD 270° clockwise about the origin
Answer:
2
Step-by-step explanation:
Answer:
your awnser would be C
Step-by-step explanation:
smbdy plssss I'll give 35 points
An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)
Answer:
Step-by-step explanation:
sum of ratio=6+4+3=13
let the total price of houses=x
then
[tex]\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000[/tex]
Solve
x/4 = 8
please help me find what x is
Answer:
x = 32
Step-by-step explanation:
x/4 = 8
<=> x = 8 . 4
<=> x = 32
Select all the scalars
A. Distance
b.displacement
C.speed
D.velocity
Please help ASAP please answer please !!⬆️
Answer:
A, B, C
Step-by-step explanation:
Velocity is the only option that has both distanace and direction.
What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?
Answer:
x = 3/2
Step-by-step explanation:
x = 3/2
Step-by-step explanation:
Given the equation 3/2(4x-2)-3x = 5-(x+2)
Open the parenthesis
3/2(4x) - 3/2(2) -3x = 5-x-2
6x-3-3x = 3-x
3x-3 = 3-x
Collect like terms
3x+x = 3+3
4x = 6
Divide both sides by
4x/4 = 6/4
x = 3/2
Hence the value of x is 3/2
Joe wants to buy a toaster that costs $15 dollars. The sales tax on the toaster is 5%. What is the total cost Joe will pay for the toaster? (Please explain how you solved the problem)
Answer:
$15.75
Step-by-step explanation:
You can do this a couple of ways.
(1) Compute the tax, and add it to the price to find the total.
5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax
Then the total cost is $15 + $0.75 = $15.75.
__
(2) Add the percentage to 100% and use that to multiply the cost.
total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05
total cost = $15.75