Steps to solve:
3^2 • 3^-8 • 3^0
~Apple exponent rule [ a^b * a^c = a^b+c ]
3^2-8+0
~Simplify
3^-6
~Use exponent rule [ a^-b = 1/a^b ]
1/3^6
~Simplify
1/729
Best of Luck!
Answer:
3^-6 which equals 1/3^6
Step-by-step explanation:
all you do is add the exponents.
3^0 is equal to 0 so that one doesn't matter, you just cross it out.
now you're left with 3^2x3^-8
so add 2+(-8) which is -6 so the answer is: 3^-6
since the exponent is negative, you put a 1 above the problem, making it a fraction: 1/3^-6
what is the value of x (x+2)(x-3)=0
Answer:
x = 3 or x = -2
Step-by-step explanation:
Solve for x over the real numbers:
(x + 2) (x - 3) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
x - 3 = 0 or x + 2 = 0
Hint: | Look at the first equation: Solve for x.
Add 3 to both sides:
x = 3 or x + 2 = 0
Hint: | Look at the second equation: Solve for x.
Subtract 2 from both sides:
Answer: x = 3 or x = -2
ACBM is a segment of a circle such
that CM is the perpendicular bisector of AB.
If ICM 4 cm and IABI= 16 cm, calculate:
a the radius of the circle of which ACBM is a
segment
b the angle that chord AB subtends at the
centre of the circle
c the area of the segment.
Answer:
a. 8.94 cm b. 127° c. 12.37 cm²
Step-by-step explanation:
a. Since CM = 4 cm is the perpendicular bisector of AB = 16 cm and r is the radius off the circle. From Pythagoras' theorem,
r² = (AB/2)² + CM²
r = √[(AB/2)² + CM²]
Substituting the values of the variables into r, we have
r = √[(16/2)² + 4²]
r = √[8² + 4²]
r = 4√[2² + 1²]
r = 4√[4 + 1]
r = 4√5 cm
r = 8.94 cm
b. We know that the length of a chord L = 2rsin(θ/2) where r is the radius of the circle, and θ is the angle subtended by the chord AB.
Since L = 2rsin(θ/2) and L = AB = 16 cm,
L/2r = sin(θ/2)
taking sine inverse of both sides, we have
θ/2 = sin⁻¹(L/2r)
multiplying both sides by 2, we have
θ = 2sin⁻¹(L/2r)
substituting the values of the variables, we have
θ = 2sin⁻¹[16/(2 × 8.94)]
θ = 2sin⁻¹[16/17.88]
θ = 2sin⁻¹[0.8949]
θ = 2 × 63.49°
θ = 126.98°
θ ≅ 127°
c. The area of a segment A is given by
A = (θπ/360 - sinθ)r²/2 where θ is the angle subtended by the segment and r = radius of the circle
since θ ≅ 127° and r = 4√5 cm, substituting these values into A, we have
A = (127°π/360 - sin127°)(4√5)²/2
A = (398.93/360 - 0.7988)40
A = (1.1081 - 0.7988)40
A = 0.3093 × 40
A = 12.372 cm²
A ≅ 12.37 cm²
Is 8 a solution to -2(x + 10) + 4 = -32? True or False
Step-by-step explanation:
-2(x + 10) + 4 = -32
-2(x + 10) = -32 -4
-2(x + 10) = - 36
x + 10 = (-36)/(-2)
x + 10 = 18
x = 18 - 10
x = 8
8 is a solution ... true
Three fences on a ranch measure 15/16 mile, 7/8 mile, and 7/16 mile. Which is the best estimate of the total length of all three fences. *
Answer:
deez
nuts
Step-by-step explanation:
12. Find the area of the rectangle. + 2
Answer:
The formula for the rectangle is base times the height. Since theres
no picture. SORRY!!
Step-by-step explanation:
Mikayla bought a bag of 84 pieces of candy and she wants to divide them up evenly and place into bags but doesn't won't more than 20 bags list the possible ways she can fill the bag
Answer:
[tex]1.0736 \times 10^{19}[/tex] ways
Step-by-step explanation:
Given that:
Mikayla bought a bag of 84 pieces of candy.
she wants to divide them evenly and place them into bag such that they are not more than 20 bags.
Therefore, the number of possible ways she can do that is ;
[tex]^{84}C__{20}[/tex]
= [tex]\dfrac{84!}{20!(84-20)!}[/tex]
= [tex]\dfrac{84!}{20!(64)!}[/tex]
[tex]= 1.0736 \times 10^{19}[/tex] ways
The possible ways she can fill the bag = [tex]1.0736 \times 10^{19}[/tex] ways
5y^2+5−4−4y^2+5y^2−4x^3 −1
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4 {x}^{3} + 6 {y}^{2} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5 {y }^{2} + 5 - 4 - 4 {y}^{2} + 5 {y}^{2} - 4 {x}^{3} - 1}[/tex]
Collect like terms
⇒[tex]\sf{ 4 {x}^{3} + 5 {y}^{2} - 4 {y}^{2} + 5 {y}^{2} + 5 - 4 - 1}[/tex]
⇒[tex] \sf{4 {x}^{3} + {y}^{2} + 5 {y}^{2} + 5 - 4 - 1}[/tex]
⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} + 5 - 4 - 1}[/tex]
Calculate
⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} + 1 - 1}[/tex]
⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} }[/tex]
Hope I helped!
Best regards! :D
The sum of the measures of the angles shown is 90°.
(5x)
(7x + 6)
10. Write an equation to determine the value of x.
11. Find the value of x.
Answer:
10). 5x + (7x + 6) = 90
11). x = 7
Step-by-step explanation:
From the picture attached,
Sum of given angles measures 90°
Measures of the angles are (5x)° and (7x + 6)°
Therefore, equation to determine the values of x will be,
5x + (7x + 6) = 90
By combining similar terms of the equation,
12x + 6 = 90
12x = 90 - 6
12x = 84
x = [tex]\frac{84}{12}[/tex]
x = 7
Therefore, by solving the equation value of x will be 7.
9. If DF = 42, find DE.
7x+1 4x-3
DEF what is DE
Answer:
29
Step-by-step explanation:
So DF = 42, And we know that DF = DE + EF
Therefore (7x+1) + (4x-3) = 42
11x -2 = 42
11x = 44
x = 4
Substitute x = 4 onto DE equation, so 7(4) +1
= 29.
The required measure of line segment DE is 29.
Given that,
A line segment DF is given,
E is a point on the segment DF, where DE = 7x +1 and EF = 4x - 3
and DF = 42,
To determine the measure of DE.
A line is a straight curve showing the shortest distance between 2 points.
Here,
DF = DE + EF
From the given put the values of DF = 42, DE = 7x +1 and EF = 4x - 3
42 = 7x + 1 + 4x - 3
42 = 11x - 2
11x = 44
x = 4
DE = 7x + 1
Put the value of x in above equation,
DE = 7 * 4 + 1
DE = 28 + 1
DE = 29
Thus, the required measure of the DE segment is 29.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
what is the measure of X?
angles are not necessarily drawn to scale
Answer:
xº=71º
Step-by-step explanation:
Take the triangle BDH
Once the sum of interior angles of a triangle is 180º:
40º+31º+yº=180º
71º+yº=180º
yº=109º
Once yº and xº are supplementary angles (add up to 180º):
yº+xº=180º
109º+xº=180º
xº=71º
If ∠DBE is 40° and ∠BDC is 31° then the angle x will be equal to 71°.
What is triangle?A triangle is a two dimensional figure having three sides, three angles and the sum of all the angles is equal to 180°.
How to find angle?We have been given ∠DBE=40° and ∠BDC=31° and we have to find the angle ∠IHE which is x°.
Let the angle DHB equal to y.
In ΔBDH
∠DBH+∠BDH+Y=180 { Sum of all angles in a triangle is equal to 180}
40+31+y=180
71+y=180
y=180-71
y=109°
We know that sum of two angles on a line is equal to 180°.
So, x=180-109
x=71°
Hence the value of x is 71° if ∠BDC=31° and ∠DBE =40°.
Learn more about triangles at https://brainly.com/question/17335144
#SPJ2
What is the range of the data? 2,8,7,8,6,15,6,3,8
Answer:
13
Step-by-step explanation:
The range of a data set is the difference between the greatest and least values in the set. In this case, the greatest value is 15 and the least value is 2 so the range is 15 - 2 = 13.
Which is the measurement of 144 ounces? A: 12 pounds B: 9 pounds C: 18 pounds D: 16 pounds
Answer:
B
Step-by-step explanation:
because the mass value is 16 x 9pounds equals 144
B is the correct answer bro and girl
Please help me out! :(
1.) Given N is between M and P. If MN = 3x +2, NP = 18, and MP = 5x find the length of each
segment
Step-by-step explanation:
MN=MP+PN
3X+2=5X-18
2X=20
X=10
MP=50
MN=32
NP=18
please help,, thankyou!
Answer:
Shown in the picture
[tex]:\implies\bf\:m+n=18\:\longrightarrow\:(I)[/tex]
[tex]:\implies\sf\:2mn=-24\:\longrightarrow\:(II)[/tex]
[tex]:\implies\bf\:mn=-12\:\longrightarrow\:(III)[/tex]
Answer - A :
[tex]:\implies\tt\:\dfrac{5}{3m}+\dfrac{5}{3n}[/tex]
[tex]:\implies\tt\:\dfrac{15(m+n)}{9(mn)}[/tex]
[tex]:\implies\tt\:\dfrac{15(18)}{9(-12)}[/tex]
[tex]:\implies\tt\:-\dfrac{15}{6}[/tex]
[tex]:\implies\:\boxed{\bf{\purple{-\dfrac{5}{2}}}}[/tex]
Answer - B :
[tex]:\implies\tt\:\dfrac{4}{m^2}+\dfrac{4}{n^2}[/tex]
[tex]:\implies\tt\:\dfrac{4(m^2+n^2)}{(mn)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4(m^2+2mn+n^2-2mn)}{(mn)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4[(m+n)^2-2mn]}{(mn)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4[(18)^2-(-24)]}{(-12)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4(324+24)}{144}[/tex]
[tex]:\implies\tt\:\dfrac{348}{36}[/tex]
[tex]:\implies\:\boxed{\bf{\orange{\dfrac{29}{3}}}}[/tex]
You and a friend are heading to the movies. You each buy a ticket and you also want to buy some refreshments. The total cost of admission per person is, a, is $7.50 and you spent $15.50 on refreshments. Write an expression to represent the total cost of the trip. Then, find the total cost.
Answer:
how did you find the answer of 1 ticket
Step-by-step explanation:
can someone help me solve -2(8m+8)=-16
9x+12x-21=27
How do I solve ?
Which of the following statements is the most precise and correct to define a circle?
Answer:
THE SET OF ALL POINTS IN A PLANE THAT ARE THE SAME DISTANCE AWAY FROM SOME GIVEN POINT , WHICH WE CALL THE CENTER.
Step-by-step explanation:
Evaluate each expression. 6 ÷ 6 + z + x − y; use x = 2, y = 5, and z = 6
Answer:
4
Step-by-step explanation:
6/6+6+2-5=
Betty makes pies. to make 6 pies, she uses 7 1/2 cups of flour. How many cups of flour are needed to make one pie Please submit the improper fraction and a mixed number. If you don´t, be surprised when your answer gets reported <3
Answer:
1 1/4 or 5/4 cups of flour
Step-by-step explanation:
7 1/2 divided by 6 equals 1 1/4.
hope this helps you :)
Answer:yes
Step-by-step explanation:
A food truck sells tacos for 6.50 each and burritos for 7.50 each. The food truck's revenue from selling a total of 164 tacos and burritos in one day is 1157.00. How many tacos and burritos were sold that day?
Answer:
12 burritos and 167 tacos
Step-by-step explanation: 164 x 6.5 = 1066
1157 - 1066 = 91
91/7.5 about 12
164 tacos and 12 burritos
There are two diferent maps of Ohio.
◦The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 400km.
◦The scale on the second map is 1 cm to 50 km.
What is the distance from Cleveland to Cincinnati on the second map? Explain your reasoning.
a middle school counselor randomly sampled students about their favorite subjects. According to the table, what is the total number of students participating in the random sample? answer
Answer:
67+72+65= 204
Step-by-step explanation:
The answer is 345. Use these numbers 10, 3, 4, 5, 2, 1, 100 to get 345
Answer:
Step-by-step explanation:
100 + 100 + 100 + 10 + 10 + 10 + 10 + 5
The question is primarily asking you to use the terms given to get the number given. As there is no rule written for this one, it is easier. Usually, or later on, they may give you a sequence in which you will plug in terms to obtain the results. In cases like that, you must remember to follow PEMDAS.
PEMDAS =
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction
& is the order of operation.
~
Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100
Step-by-step explanation:
10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345
Using PEMDAS, multiply first ... then add/subtract.
30 + 4 + 10 + 1 + 300 = 345
34 + 10 + 1 + 300 = 345
44 + 1 + 300 = 345
45 + 300 = 345
345 = 345
Calculate unit _____ for rates to compare quantities
Answer:
rate
Step-by-step explanation:
Calculate unit rate for rates to compare quantities
"Four more than the quotient of a number and 3 is at most 9."
Answer:
(n/3) + 4 ≤ 9
Step-by-step explanation:
"Four more than the quotient of a number and 3" is represented by
n/3 + 4
and this quantity is "at most 9:"
And so we get:
(n/3) + 4 ≤ 9
how is the graph misleading?
Answer:
This graph is misleading because the colours of them are different.
Hope this helps!
(01.05 LC)Which fraction is equivalent to negative 4 over 6? A.) 6 /-4 B.) - 6/4 C.) 4 /-6 D.) 4/6 I NEED HALP OR ELSE IMANA DIE HERE PLSS HELPPPPP!!!!!!!!
Answer:
C
Step-by-step explanat:
Hope thats right
Answer: -4 over 9 hope this works
Step-by-step explanation:
Brainliest for correct answer