Which expression represents
the area of a rectangle with
sides measuring 7x4y2z units and
2xy5z14?
Answers
______________________________
1.) To solve this you must first know the formula for area of a rectangle:Area [tex]=\sf{H}[/tex] × [tex]\sf{W}[/tex]Area [tex]=7x^4y^2z[/tex] × [tex]2xy^5z^{14}[/tex]Note:
- It doesn't matter which measurement fills the height or width part in the formula.
Equation at the end of Step 1:
[tex]7x^4y^2z[/tex] × [tex]2xy^5z^{14}[/tex][tex]2xy^5z^{14}[/tex] × [tex]7x^4y^2z[/tex]2.) Add 4 and 1, (x powers:)[tex]x^4+x=x^5[/tex]Note:
- To multiply powers of the same base, you can add their exponents. So you just do [tex]4+1=5[/tex].
- When you have a plain variable like [tex]x[/tex], you can assume [tex]x=1[/tex].
Equation at the end of Step 2:
[tex]7x^5y^2z[/tex] × [tex]2y^5z^{14}[/tex]3.) Add 2 and 5, (y powers:)[tex]y^2+y^5=y^7[/tex]Note:
- To multiply powers of the same base, you can add their exponents. So you just do [tex]2+5=7[/tex].
Equation at the end of Step 3:
[tex]7x^5y^7z[/tex] × [tex]2z^{14}[/tex]4.) Add 1 and 14, (z powers:)[tex]z+z^{14}=z^{15}[/tex]Note:
- To multiply powers of the same base, you can add their exponents. So you just do [tex]1+14=15[/tex].
- When you have a plain variable like [tex]z[/tex], you can assume [tex]z=1[/tex].
Equation at the end of Step 4:
[tex]7x^5y^7z^{15}[/tex] × [tex]2[/tex]5.) Multiply 7 and 2:[tex]7[/tex] × [tex]2=14[/tex]Note:
- Since we combine all the powers and multiplied the bases, all you have to do is put it all together in 1 form like we were doing after we added powers in the earlier steps.
Equation at the end of All Steps:
[tex]14x^5y^7z^{15}[/tex]______________________________
Related Questions
Which of the sets of ordered pairs represents a function? (5 points)
A = {(2, −2), (5, −5), (−2, 2), (−5, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}
Group of answer choices
Only A
Both A and B
Neither A nor B
Only B
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Answer:
Both a and b
Step-by-step explanation:
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34cm
Step-by-step explanation:
bc i konow
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no, a right angle is 90 degrees. it isn't.
Step-by-step explanation:
the bottom left angle should look like this: L, which it doesn't.
A custodian plans to repaint some classroom bookcases. She has 6 1/4 gallons of paint. All of the bookcases are the same size and each requires 2/3 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
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Answer:
9
But i'm not entirely sure.
Directions: Determine how much Marco would be paid
for 10 weeks work.
Marco is initially paid $75 per week and then 2.5%
more each week than the previous week.
Answers
Answer:
766.87 is how much he is paid in all.
Step-by-step explanation:
2.5% of 75 is 1.875. 1.875 times 9 is 16.875. 75 times ten is 750. add together to get the whole.
In 10 weeks she will be paid a total of $840 with 2.5% more each week.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, a = 75 and r = 1.025.
We know the sum of a geometric sequence is Sₙ = a(rⁿ - 1)/(r - 1).
∴ S₁₀ = 75(1.025¹⁰ - 1)/(1.025 - 1).
S₁₀ = 75(1.28 - 1)/(0.025).
S₁₀ = 75(0.28)/0.025.
S₁₀ = 840.
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help me please also answer the question correctly
Answers
Answer:
he needs 10 c
Step-by-step explanation:
Jorge needs 10 large c because 6 large salads need 10 tomatoes
Ur amazing if u understand bearings
Answers
Sam's "bearing" is simply the direction in which he's moving, which is the angle made with due East.
From point A to point B, his bearing is 335°, and from point B to C, his bearing is 45°. In both cases, the angle is made with due East from the second point. See the sketch for a rough approximation of this. Note that it is not to scale.
To get it into scale, you have to compute the distances traveled along each bearing.
• Moving at 6 km/h for 20 min = 1/3 h would cover a distance of
(6 km/h) • (1/3 h) = 2 km
• Moving at 10 km/h for 15 min = 1/4 h would mean a distance of
(10 km/h) • (1/4 h) = 2.5 km
In your sketch, 1 cm should represent 500 m = 0.5 km, so the arrow from A to B should have a length of 4 cm, while the arrow from B to C should have a length of 5 cm.
Justify whether the equation y=9x−4 defines a linear or nonlinear function.
Answers
Linear
Explanation:
A non linear function would have a squared term
Please Help Asap Best Answer Gets Brainliest
Answers
Answer:
food 702, transportation 612, utilities 270, other 216
Step-by-step explanation:
The county fair is a popular field trip destination. This year the senior class at High
School A and the senior class at High School B both planned trips there. The senior
class at High School A rented and filled 10 vans and 13 buses with 660 students. High
School B rented and filled 9 vans and 6 buses with 366 students. Every van had the
same number of students in it as did the buses. How many students can a van carry?
How many students can a bus carry?
Answers
Nora has an orange rope and a green rope. The orange rope is 9 meters shorter than the green rope. The green rope is 12 meters long. How many meters of rope does Nora have in all?
Answers
Answer:
15 m
Step-by-step explanation:
12-9=3 meters of orange rope
so 3 m of orange + 12 m of green
15m in total
Answer
nora has 15 meters
Step-by-step explanation:
12 minus 9 is 3 so u have to add 3
32^x^+^2=2^x
Find the value of x
Please explain/show work
Answers
Answer:
taking log on both side
(x+2)log(32) = xlog(2)
product rule you can use out here U.V formula after that it will give you answer
Write an equation in slope intercept form for the line that passes through
(1.8) and (2,11).
Can some one help me I’m in the middle of doing a test and I need the answers
Answers
11-1/2-8
Which row in the table is the right answer for the system of equation
Answers
I think it's a pretty sure
It costs 30 dollars per month for a cell phone plus 10 dollars for every GB of data.
Which expression can be used to represent the cost of a cell phone bill when x is the number of GB of data used?
will give brainliest
Answers
Answer:
( 10 × x ) + 30
Step-by-step explanation:
This equation would represent the phone bill because you would have to multiply the GB (x) by 10 before adding it to 30 to find the total amount of money.
plz mark me brainliest if correct
The cost of cell phone is represented by expression, [tex]C=10x+30[/tex]
Total cost :It is given that,
It costs 30 dollars per month for a cell phone plus 10 dollars for every GB of data.
Let us consider that x is the number of GB of data used.
The cost of cell phone is represented by,
[tex]C=30+(10*x)\\\\C=10x+30[/tex]
Thus, the cost of cell phone is represented by expression, [tex]C=10x+30[/tex]
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What is the value of the exponential expression 3,3
A. 18
B. 27
C. 9
D. 81
Answers
Answer: B. 27
Step-by-step explanation:
3x3 = 9
9x3 = 27
3^3 = 27
Answer:
c. 9
Step-by-step explanation:
3,3
3*3
3 square
9
A total of 754 tickets were sold for the school play. They were either adult tickets or student tickets. There were 54 more tickets sold than adult tickets. How many adult tickets were sold?
Answers
Answer:
Answer: 350
Step-by-step explanation:
Explanation:
a = adult tickets
s = student tickets
║ a + s = 754
║s = a + 54
Plug s = a + 54 into a + s = 754
a + (a + 54) = 754
a + a + 54 = 754
2a + 54 = 754
2a = 754 - 54
2a = 700
a = 350
What is 0.00000078 is sceintific notaion
Answers
.
7.8 • 10^-7
[tex]7.8 \times {10}^{ - 7} [/tex]
A line has a slope of -
and a y-intercept (vertical intercept) of 9.
Answers
The first one is correct you take the slope and multiple it by x and then add or subtract your y intercept depending on whether it is positive or negative. In this case it's positive so it would by -3/7x+9
24 is 31.25% of what number?
Answers
Answer:
76.8
Hope this helps :)
Roger restores vintage automobiles. The number of automobiles Roger has restored, f, after n number of years can be described by the equation f(n)=2+5n. What is the rate of change in this situation?
Answers
Answer:
The change of rate of the situation is 5.
Step-by-step explanation:
Given f(n) = 2 + 5n. The rate of change is still the same as the slope of the equation. We know that the equation of a line is given as:
f(x) = y = mx + c where m is the slope. In our given equation, f(n) = 2 + 5n = 5n + 2, we see that m = 5 which is our slope.
Therefore, the change of rate of the situation is 5.
Determine the rate of change from the table below:
Answers
Answer:
Plus 4 miles every 2 hours
Hours= +2
Miles= +4
Question 24
In A DEF, the bisector of ZF divides the opposite sides into segments that are
4 and 9 in. long. The side of the triangle adjacent to the 4 in segment is 6 in.
long. To the nearest tenth of an inch, how long is the third side of the triangle?
A.13.5
B.27
C.6
D.13
Answers
Answer:
1).
Sqrt (7 x 12) = 9.165
2).
Altitude = Sqrt (14 x 8) = 10.583
3).
If FG is the angle bisector of angle F in triangle DEF,
DF/EF = DG/EG
6/EF = 4/9
EF = 13.5 in long.
4).
In triangle QRS, XY is parallel to SR.
SX/XQ = RY/YQ
3/2x = 4.5/7.5
9x = 22.5
x = 2.5
The length of QS
= SX + 2x
= 3 + 5
= 8
did this help sorry if it didnt
Step-by-step explanation:
Simplify the expression:
25-[8-(6-10)]+[(1-3)]^3
A. -21
B. 29
C. 21
D. 5
Answers
Answer:
D 5
Step-by-step explanation:
when you simplify
Answer:
2719
Step-by-step explanation:
25-{8-(6-10)+{(1-3)}^3
25-{8-(-4)+(-2)^3
25-{-12+(-2)}^3
25-{-14}^3
25-2744
2719
five and one ninth minus two and three fourths quick pls
Answers
How many 3/4 cups are in 3 cups?
Answers
Answer: 12 tablespoons
Step-by-step explanation: 8 tablespoons 1/2 cup 4 fluid ounces
12 tablespoons 3/4 cup 6 fluid ounces
16 tablespoons 1 cup 8 fluid ounces
2 cups 1 pint 16 fluid ounces
Plz Help Asap Best Answer Gets Brainliest
Answers
Hope this helps <3
Complete the tables of values.
4-*
-1
4
0
a
2
b
4
с
a
b=
C=
Answers
Answer:
a=1
b= 1/16
c=1/256
Step-by-step explanation: took edge
whats 8 squared + 15 squared = 17 squared
Answers
Answer:
289=289
Step-by-step explanation:
[tex]8^{2}[/tex]+[tex]15^{2}[/tex]=[tex]17^{2}[/tex]
64+[tex]15^{2}[/tex]=[tex]17^{2}[/tex]
64+225=[tex]17^{2}[/tex]
289=[tex]17^{2}[/tex]
289=289
can someone help me with this please?!!
Answers
Answer: X
Step-by-step explanation: Because look at the chart
Answer:
It’s b
Step-by-step explanation: