Rewrite the expression using a single, positive exponent: 9^3/9^9
Answer:
9⁻⁶
Step-by-step explanation:
When you're dividing, you subtract the exponents. So, 3-9=-6.
The expression 9³ / 9⁹ can be written as 9⁻⁶.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 9³ / 9⁹. The expression can be solved as below:-
E = 9³ / 9⁹
E = 9³ x 9⁻⁹
E = 9³⁻⁹
E = 9⁻⁶
Therefore, the expression 9³ / 9⁹ can be written as 9⁻⁶.
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a) name the transversal connecting 1 and 5
b) name the transversal connecting 7 and 14
c) name the transversal connecting 8 and 11
d) name the transversal connecting 7 and 15
e) name the transversal connecting 3 and 9
Answer:
a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p
Step-by-step explanation:
The angles pairs and the transversal connecting them are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
Note the following about what a transversal is:
A transversal is a line that intercepts or cut-across two straight lines.A transversal will connect two angles that lie in two other straight lines the transversal intercepts.The two angles connected by a transversal can lie on opposite sides of a transversal or on same side along the transversal.Let's determine the transversal connecting the following given angles:
<1 and <5, is connected by transversal r.<7 and <14 is connected by transversal q<8 and <11 is connected by transversal s<6 and <15 is connected by transversal q<3 and <9 is connected by transversal pTherefore, the answers are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
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Liz is shipping a present to her friend. The shipping company charges one fee for the box, and another fee depending on the weight of the package. She pays $2 for the shipping box. The package weighs 9 pounds. If liz paid a total of $38, how much does the company charge per pound?
Answer:
$4 per poundStep-by-step explanation:
given data
let the total charge be y
and let the number of pound be n
also let the charge per pound be p
we know that the expression for the total charges is given as
y=2+np
given that
y=$38
n=9
the expression the charges is now
38=2+9p
solving for p we have
38-2=9p
36=9p
p=36/9
p=4
therefore she is charged $4 per pound
i need help with this
Answer:
1. x=9
2. x=2
3. x=6
Step-by-step explanation:
I only know 1-3 sorry, but hope this helps
HELP ASAP
Solve the equation for k:
p= k/K + t
Answer:
k = p(K+t)
Step-by-step explanation:
p = k/K+t // × (K+t)
p(K+t) = k
Answer:
k = K p - K t
Step-by-step explanation:
Solve for k:
p = k/K + t
p = k/K + t is equivalent to k/K + t = p:
k/K + t = p
Subtract t from both sides:
k/K = -t + p
Multiply both sides by K:
Answer: k = K p - K t
please help. you can select a,b,c,d or multiple.
Answer: b & d
Step-by-step explanation:
These are complex roots because they do not have x-intercepts.
Hope this helps!
A restaurant bill is $20. Find the 15% tip.
Answer:
You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.
Step-by-step explanation:
Answer $3.00
Step-by-step explanation:
Dom and Riley both want to find the change from the 6 AM temperature to the new 12 PM temperature. Dom says that you can use a number line and add the distances from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Riley says that you can subtract -1.4 from the 12 PM temperature. Is either Dom or Riley correct? Explain your reasoning and find the change in temperature.
Answer:
Neither Dom or Riley is correct
Step-by-step explanation:
The change in temperature between 12PM and 6AM can be obtained by subtracting the 12PM temperature from the 6AM temperature because temperature increases as the hours of the day go by.
To carry out this subtraction on the number line, the following steps should be taken;
(i) Mark the numbers corresponding to 6AM and 12PM temperatures on same number line.
(ii) From the number corresponding to the 12 PM temperature, find out how many steps that are needed to reach the position of the number corresponding to the 6AM temperature.
This number of steps represents the temperature change between the 12PM temperature and the 6 AM temperature.
Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown. (4 z Superscript 8 Baseline) Superscript negative 3 = 4 z Superscript 8 times (negative 3) Baseline = 4 z Superscript negative 24 Baseline = StartFraction 4 Over z Superscript 24 Baseline EndFraction Which statement explains Mario's error?
Answer:
Step-by-step explanation:
Given the expression [tex](4z^8)^{-3}[/tex], to evaluate this, we will use one of the law of indices as shown;
[tex](a^m)^n = a^{mn}[/tex]
[tex]4^{-3} * z^{8*-3}[/tex]
[tex]= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}[/tex]
Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8
Answer:
The last one
Step-by-step explanation:
A population of largemouth bass is 950 this year and the rate of decrease is 35% per year. How many bass will remain after 15 years of decay at this rate?
425
617
1
525
332
which list shows the numbers 2/3, 9/11 and 7/9 arranged from least to greatest
Answer:
2/3; 7/9; 9/11
Step-by-step explanation:
You have to divide them and you will get a decimal that is how you put them in numerical order
Goran took 3 hours to clean the bathroom. Then he took 2 hours to clean the kitchen. How much total time did Goran take to clean the two rooms?
Write your answer as a mixed number in simplest form.
Answer:
5
Step-by-step explanation:
Gianna is paid $90 for 5 hours of work.
a. At this rate, how much would Gianna make for 8 hours of work?
b. At this rate, how long would Gianna have to work to make $600?
Use a ratio table to solve.
Answer:
a. $144
b. about 34 hours
Step-by-step explanation:
If Gianna is paid $90 dollars for 5 hours of work, that means that she is paid $18 an hour. So, 18x33 is 594, which means that 18x34 is $612.
A bed frame normally weighs 60 pounds. A new, stronger material increases the duriability of the frame but makes it weigh 30% more. How many pounds does the new frame weigh
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg
Answer:
V₂ = 450 cm³
Step-by-step explanation:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.
[tex]V\propto \dfrac{1}{P}[/tex]
If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg
We need to find a new volume. Using the above concept,
[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]
So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F.
His body temperature in the evening is __?__°F.
Answer:
102.6
Step-by-step explanation:
add 99.2 + 3.4
solve 3(x-4)=16+5x show work
Answer:
hi… I think it's written that way
Help pleaseeeee it’s dueeeeee
Answer:
The change is increased by 80%.
Step-by-step explanation:
Divide 36 by 45. This gives you 0.8. Divide 36 by 0.8 and multiply 45 by 0.8 to check your answer. So, it is increased by 80%. To find out how percents change, divide the first number by the second number. Then, take the decimal and move the decimal point over to the right two spaces, or multiply the entire number by 100.
∠GHJ and ∠MHJ are complementary. If m∠GHJ=(6x)° and m∠MHJ=18°, find the value of x.
Answer:
The value of x = 12
Step-by-step explanation:
Here, we are to find the value of x
If the two angles are supplementary, it means that they add up to be 90 degrees
Thus;
∠GHJ + ∠MHJ = 90
6x + 18 = 90
6x = 90-18
6x = 72
x = 72/6
x = 12
Help? Find angle psw
Evaluate the expression for x = 2 and y = 4.
Answer:
2985968
Step-by-step explanation:
your welcome
Answer:
80
Step-by-step explanation:
12(2*2*2) =96
2*2*4=16
96-16=80
what are all the factors of 21?
Answer:
1, 3, 7, 21
p-by-step explanation:
Solve for y: -3y-6x= -18 *
Answer:
[tex]y=-2+6x[/tex]
Step-by-step explanation:
[tex]-3y-6x= -18[/tex]
[tex](-3y-6x)= -18+6x[/tex]
[tex]-3y-6x+6x=6x -18[/tex]
[tex]y=-2+6x[/tex]
A patio is designed using two types of tiles. The tiles are similar isosceles triangles. The lengths of the sides of the larger triangle are 6 inches, 6 inches, and 4 inches. Which one of these could be the side measurements of the smaller triangle?
Ommited Answer Choices:
A. 4 inches, 4 inches, 4 inches
B. 3 inches, 3 inches, 3 inches
C. 3 inches, 3 inches, 2 inches
D. 2 inches, 2 inches, 3 inches
Answer:
C. 3 inches, 3 inches, 2 inches
Step-by-step explanation:
The ratio of the corresponding lengths of two similar polygons will always be equal.
Thus, the ratio of the smaller sides of both similar isosceles ∆ should equal the ratio of the other sides.
Thus, from the options given, the side measurements that could be that of the smaller triangle are: 3 inches, 3 inches, 2 inches.
This is because: ratio of one of the equal side of the larger triangle to one of the equal side of the smaller triangle equal ratio of the shortest side of the bigger triangle to the shortest side of the smaller triangle.
Thus: 6/3 = 4/2 = 2.
PLS help with the question in the picture!
Answer:
e then m 4
Step-by-step explanation:
cause thats how it goes
A corporate team-building event costs $1, plus an additional $1 per attendee. How many
attendees can there be, at most, if the budget for the corporate team-building event is $45?
Answer:
9 attendees
Step-by-step explanation:
1+4=5
46/5=9 R1 the slash is dividing it hope it help's
Answer:
9 attendees
Hope I helped
Select ALL the statements that are true about 22/7.
A.It is a rational number.
B.It is an irrational number.
C.When written as a decimal, it repeats.
D.It is an approximate value of Pi.
E.It is a terminating decimal.
Answer:
It is an approximate value of pi
which is the choice to the inequality below?
-x/9>4
A. x<4
B:x<-36
C.x<-0.44
D. x>-36
Answer:
x < -36
Step-by-step explanation:
-x/9>4
Multiply each side by -9, remembering to flip the inequality
-x/9 * -9 < 4*-9
x < -36
if you dog a 6ft hole...how deep is that hole??
-Beetlejuice
Answer:
im confused lol
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
Which list shows the numbers in order from greatest to least?
0.6, 0.453, 0.563, 0.4
0.4, 0.453, 0.563, 0.6
0.6, 0.563, 0.453, 0.4
0.563, 0.6, 0.453, 0.4
Answer:
c
Step-by-step explanation:
its really simple it's c