Answers
[tex]5^{-12} \cdot 32^{-3} \cdot 9^{-15}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{32^3} \cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{(2^5)^3}\cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12} \cdot 2^{15} \cdot 9^{15} }\\\\\\=\dfrac 1{5^{12}\cdot 18^{15}}[/tex]
Answer:
[tex]\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]
Step-by-step explanation:
In this case, all the exponents are negative. To make them positive, take the term's reciprocal and change the exponents sign.
[tex]\implies 5^{-12} \times 32^{-3} \times 9^{-15}[/tex]
Changing the terms into it's reciprocal form:
[tex]\implies \dfrac{1}{5^{-12}} \times \dfrac{1}{32^{-3}} \times \dfrac{1}{9^{-15}}[/tex]
Changing the signs of the exponent:
[tex]\implies\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]
Related Questions
∠A and \angle B∠B are vertical angles. If m\angle A=(5x+2)^{\circ}∠A=(5x+2)
∘
and m\angle B=(6x-12)^{\circ}∠B=(6x−12)
∘
, then find the value of x.
Answers
Answer:
Step-by-step explanation:
The peak of one mountain is 6 mi above sea level. The peak of another is 4 mi below sea level. What is the difference in altitude between the two mountain peaks?
Answers
Answer:
difference of 10 min
Step-by-step explanation:
please help me and answer correctly
Answers
Answer:
5(10) + 31= 81
Step-by-step explanation:
x=110 So you plug in 10 for x and multiply 5x10 and then add 31
What is the mean height, rounded to the nearest whole number if necessary? 66 68 69 70
Answers
Answer:
69
Step-by-step explanation:
I took the quiz and it's right
Answer:69
Step-by-step explanation:
I just got it correct
please help me with the question
Answers
I think one two and three are correct if you do the math and put the numbers in the perenthisis (x on the left, y on the right) to the equation then you will get the answer.
A group wants to visit a water park over
the summer. Tickets cost $10 for each
child and $15 for each adult. The group
has a total of $90 to spend on tickets to
the water park. The equation
10x + 15y = 90 represents the total
cost of the water park tickets and is
graphed below.
Answers
Answer:
9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park
Step-by-step explanation:
A storage container consists of a box of length 90cm, width 42 cm and height 34 cm, and a lid
in the shape of a half-cylinder, as shown in the diagram. The lid fits the top of the box exactly.
The total exterior surface of the storage container is to be painted.
Find the area to be painted.
Answers
Answer:
20079.05 cm^2,
Step-by-step explanation:
Surface area of the box without the lid
= 90*42 + 2(90*34) + 2(42*34) = 12756.
Now find Surface area of the half cylinder:
The diameter of the 2 half circles = 42 so the radius = 21.
The area of the lid
= 2 + 1/2 π (21)^2 + π r * 90
= 7323,052
Total = 20079.052
how many nickels will you need to buy a candy bar that's 20 c
Answers
Answer:
4 Nickles
Step-by-step explanation:
to find this out we can devide the total cost (20 ¢) by the worth of the coin we are using (1 Nickel = 5 ¢) as shown below
20 ÷ 5 = 4
what this equation shows is that 4 nickels are needed to add up to a total of 20 ¢
hope this helps
side note, i dont usually say this but at the moment i am 2 crowns away from my next level, so if the answer seems fit to you a crown would be, depending on the other answer, thank you
EDIT:
Additional Example
this method can be applied to most situations, even if you need multiple coin types
say Ron wants to buy a 57 ¢ apple pie slice in exact change, lets assume he has a surplus in the four common coins in his wallet book or pocket
first he uses a quarter and divides as follows
57 ÷ 25 = 2 with a remainder of 7
then he can take a coin of less value then the remainder (in this case a nickel since 5 < 7, and not a dime since 10 > 7)
7 ÷ 5 = 1 with a remainder of 2
and finally with the pennies
2 ÷ 1 = 2
with this info we know that Ron will need 2 quarters, 1 nickel and 2 pennies to have exact change in the least amount of coins
8-51. Enrollment in math courses at Kennedy High
School in Bloomington, Minnesota is shown in the
circle graph at right. If there are 1000 students
enrolled in math courses, approximately how many
students are enrolled in Algebra? In Geometry? In
Calculus?
ASAP PLS
Answers
Answer:
(I am assuming this is just approximation since there are no other numbers, just to be clear :))
Algebra: about 450 students
Geometry: about 250 students
Calculus: about 50 students
Point A is located at (-3, O) and is rotated 90%. What are the coordinates of point A'?
(-3, 0)
(0, -3)
(3, 0)
(0, 3)
Answers
Answer: (0, 3)
Step-by-step explanation:
(x,y) will become (y,-x)
The Cold War had a large influence on the foreign relations and actions of the United States around the globe. Describe two ways the Cold War influenced American foreign policy in Latin America?
Answers
Answer:
During the Cold War, the political and economic tensions between the U.S. and the Soviet Union shaped Latin American political society. Named as 'Operation Condor', the political crackdown of revolutionary organizations and guerrilla groups on the continent was backed by the North American superpower.
help pls than you you are all the best
Answers
Answer:
70
Step-by-step explanation:
[tex]10\div \dfrac 1 7 = 10 \times 7 = 70[/tex]
Answer:
C. | 70
Step-by-step explanation:
C is the correct answer because 10 divided by 1/7 is 70
Hope I helped you!
Which of the following expression(s) are fourth-degree trinomials? select all that apply.
A. 3x2y + 5x3y + 6y4
B.6y4 + 5x3 + 1
C. 5xy − 5x2y2 + 7
D.3y3 + 3x3y3
Answers
a and b
the ones with the largest degree as 4
you have 5 min. thx! bless you!
Answers
k/8 = 19 - 8
k/8 = 11
k = 11 x 8
k = 88.
Answer:
Hi there!
Given :-[tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]
So,
=> [tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]
=> [tex]\:\mathsf{\frac{k+64}{8}\:=\:19}[/tex]
=> [tex]\:\mathsf{k\:+\:64\:=\:19\:×\:8}[/tex]
=> [tex]\:\mathsf{k\:+\:64\:=\:152}[/tex]
=> [tex]\:\mathsf{k\:+\:=\:152\:-\:64}[/tex]
=> [tex]\:\fbox{k\:=\:88}[/tex]
[tex]\:\sf\purple{Hope\:this\:helps\:you!\::)}[/tex]
help please, giving brainliest!!
Answers
Answer:
4/52
Step-by-step explanation:
Your little brother is using a rather large Amazon box (you know, the one with the smile on the end!) to make a car. He colors the sides of the box red and not the top or bottom, has you write the number 95 on the sides, and calls it Lightning. Which term describes the part of the box that he colored?
Answer choices:
Lateral Area
Area
Area Surface
Area Volume
Answers
ANSWER QUICKLY FOR BRAINLIEST!!
What is the volume of the triangular prism?
Answers
4x6=24
24/2=12
12x13=156
In adjoining figure a circle is inscribed in the quadrilateral ABCD given that BC is equal to 38 cm cube is equal to 27 cm and BC equal to 25 cm and that ad is perpendicular to DC find the radius of the circle.
Answers
Step-by-step explanation:
Let O be the centre of the circle. Since P and S are the points of contact of tangents AD and DC respectively, OP ⊥ AD and OS ⊥ DC
Also, AD ⊥ DC (given), therefore, OPDS is a square.
BR = BQ = 27cm...(tangents from an external point to a circle are equal in length)
therefore, CR = CB - BR = (38 - 27)cm = 11cm
SC = CR = 11 cm...(tangents from an external point) therefore, DS = DC - SC = (25 - 11) cm = 14 cm.
therefore,
Radius of a circle = OP = DS = 14 cm...(therefore, OPDS is a square).
Hope it helps you!!Answer:
14 cm
Step-by-step explanation:
Given
BQ = BR, AQ = AP, CR = CS, DP = DS = OP = OSBQ = 27 cmBC = 38 cmDC = 25 cmSolving
BQ = BR (given)⇒ BR = 27 cmBC = BR + CR38 = 27 + CRCR = 11 cm⇒ CS = 11cmDC = DS + CS 25 = 11 + DS⇒ DS = 14 cmBut, DS = OS and OP (radii)⇒ Radius = 14 cmwrite an equation that passes through the point (3,-9) and is parallel to the x-axis
Answers
Answer:
y = -9
Step-by-step explanation:
Any line that is parallel to the x-axis has a slope of 0.
since the y-value in the point is -9, that is the y-intercept.
So, our equation is y = -9.
Raising livestock is a no easy task. However, Tony believes that investing in this kind of business would be smart. He wanted to start by raising goats. He decided to make an enclosure by erecting a fence around the rectangular piece of land that he owns. Suppose that the land has
an area of 192 m2 and the length is 4m longer than the width. What is the perimeter of the land
that he will fence?
Answers
The perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
What is the perimeter of a rectangle?
The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.
[tex]P=2(l+w)[/tex]
Here, (l) is the length of the rectangle and (w) is the width of the rectangle.
The land has an area of 192 m2 and the length is 4m longer than the width. Let suppose the length is l. Thus,
[tex]l=4+w[/tex]
Now the area of rectangle is the product of length and width. Thus,
[tex]A=l\times w\\192=(4+w)\times w\\192=4w+w^2\\w^2+4w-192=0\\w^2+16w-12w-192=0\\w(w+16)-12(w+16)=0\\(w+16)(w-12)=0\\w=-16,12[/tex]
Taking positive side, w=12. The width of the rectangle is 12 m. The length of the rectangle is 4 m longer than the width. Thus, the length of it si 16 m (12+4). Its, perimeter is,
[tex]P=2(16+12)\\P=56\rm\;m[/tex]
Thus, the perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
Learn more about the perimeter of the rectangle here;
https://brainly.com/question/19819849
#SPJ1
Enter the correct answer in the box. the function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. what is the equation of function g? replace the values of h and k in the equation.
Answers
The equation of function g(x) is g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively
How to transform the function?The function is given as:
f(x) = 2x² - 1
When the function is translated 7 units left, the transformation rule is:
(x,y) -> (x + 7, y)
So, we have:
g(x) = 2(x -7)² - 1
A quadratic function is represented as:
g(x) = a(x -h)² + k
By comparison, the values of h and k are 7 and -1, respectively
Read more about quadratic functions at:
https://brainly.com/question/18797214
approx. how much is this
4,754÷1.9≈
Answers
Answer:
2502.10526316
≈ 2502.11
Step-by-step explanation:
Hope this helps!
Which number is irrational? Question 2 options:
A fraction
A terminating decimal
The square root of an imperfect square
Zero
Answers
Answer:
The square root of an imperfect square
Answer:
The square root of an imperfect square
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
[tex]\huge\boxed{\sf \frac{5}{8}}[/tex]
Step-by-step explanation:
[tex]\displaystyle =\frac{3}{8} +\frac{1}{4} \\\\LCM = 8\\\\= \frac{3}{8} + \frac{1 \times 2}{4 \times 2} \\\\= \frac{3}{8} + \frac{2}{8} \\\\Add\\\\= \frac{3+2}{8} \\\\= \frac{5}{8} \\\\\rule[225]{225}{2}[/tex]
Which function has a horizontal asymptote of y = 3?
Answers
Answer:
f(x) = 2(4^x)+3
this gets you horizontal asymptote of y = 3
Step-by-step explanation:
13 × 6 + 11
Which of the following is equal to the expression listed above?
A.
11 × 13 + 6
B.
6 × 13 + 11
C.
6 × 11 + 13
Answers
Answer:
Your answer is B
Step-by-step explanation:
6 x 13 +11 = 89
13 x 6 + 11 = 89
TRUE
Answer:
Anwer is B
Step-by-step explanation:
13×6+11=89
so 6×13+11=89
so the true answer is B
needs help please!!!
Answers
The length of a rectangle is
3x + 7 and the width of the
rectangle is x – 2.
What is the area of the figure?
Answers
Answer:
Area = 3x^2 +x -14 units^2
Step-by-step explanation:
Area of a rectangle is (width x height)
Area = (x-2)*(3x+7)
Area = 3x^2 +x -14
i need to figure out the surface area, i’m really bad at trianglss
Answers
Answer:
(288√3 + 504) square mm
Step-by-step explanation:
Area of two equilateral triangles:
2(1/2)(24)(12√3) = 288√3 square mm
Area of three rectangles:
3(24)(7) = 504 square mm
Total area: (288√3 + 504) square mm
simplify the expressions below
1. 2(n + 5)
2. 12(x + 5- 3y
3 -(a – 4 + 6b)
Answers
Answer:
1. 2n + 10
2. 12x + 60 - 36y
3. -a + 4 - 6b
Step-by-step explanation:
1) Distribute the 2.
2(n) + 2(5)
= 2n + 10
2) Distribute the 12.
12(x) + 12(5) + 12(-3y)
= 12x + 60 - 36y
3) Distribute the negative sign.
note: a single negative sign is the same as -1
a(-1) + -4(-1) + 6b(-1)
= -a + 4 - 6b
hope this helps!