How to you write 1/25 using exponents
Answer:
[tex]5^{-2}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then
[tex]\frac{1}{25}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]5^{-2}[/tex]
In exponent form, it should be written as [tex]5^{-2}[/tex].
Given that,
The fraction is [tex]\frac{1}{25}[/tex]We need to write in the exponent form
Based on the above information, the calculation is as follows:
[tex]a^{-m} = \frac{1}{a^{m}} \\\\\frac{1}{25} = \frac{1}{5^{2}}[/tex]
[tex]5^{-2}[/tex]
Learn more: brainly.com/question/17429689
Find the area of the shaded region
Answer: Ssh=1323π
Step-by-step explanation:
The point O Centre big circle r1=2r2=4 then radius small cirler r2=21Then S1=42²π=1764 ; S2=21²π=441 π S(shaded)=S1-S2=?Ssh=(1764-441)π=1323π A Popsicle store at the beach is comparing their monthly revenue with the sunglasses store next door. The shop owners find that their monthly revenue is positive correlated. This means that eating Popsicles causes people to buy sunglasses.
True or false?
Answer:
false
Step-by-step explanation:
correlation doesn't mean causation-
one doesn't necessarily affect the other, can just be conditions (such as weather) or coincidence
Ba đường phân giác của tam giác ABC gặp nhau tại O phát biểu nào sau đây đúng
A Ao luôn vuông góc với BC
B OA=OB=OC
C Ao luôn đi qua trung điểm BC
D O cách đều ba cạnh của tam giác
Answer:
D
Step-by-step explanation:
từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau
A chocolate factory has three classifications for the candies that it makes:
Caramels (12 varieties). please help!!!
Milk Chocolate (6 varieties)
Dark Chocolate (9 varieties)
1. Set up the NOTATION to figure out the different ways to choose 7 of the 12 Caramels
2. Set up the NOTATION to figure out the different ways to choose 3 of the 6 Milk Chocolates
3. Set up the NOTATION to figure out the different ways to choose 5 of the 9 Dark Chocolates
4. A customer has ordered an assortment to consist of seven types of caramels, three types of chocolate, and five types of dark chocolates.
How many such assortments are possible?
Answer:
1. 792 2. 20. 3. 126. 4.1995840
Step-by-step explanation:
Use the formula C(n,r)= n!/ r/ (n-r)! where n is total quantity of varieties and r is the quantity uou should choose.
1) n=12 (total quantity); r= 7
C(12,7)= 12!/(7! *(12-7)!)= 8*9*10*11*12/ (5*4*3*2)= 8*9*11= 72*11= 792
2) n=6 r=3
C(6,3)= 6!/ (3! * (6-3)!)= 6!/ (3!)^2= 4*5*6/ 3*2= 20.
3) C(9,5)= 9!/ (5!*4!)= 6*7*8*9/ (4*3*2*1)= 2*63= 126
4) You need to choose the whole set which consists of three components that has been defined. Multiply previous results
792*20*126= 1995840.
find the missing side lengths
Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)
Answer: 7m⁵ -3m³ - 3
Working:
= (6m⁵ + 3 - m³ - 4m) -(-m⁵ + 2m³- 4m +6)
= 6m⁵ + 3 - m³ - 4m +m⁵-2m³+4m - 6
= 6m⁵ + m⁵-m³ -2m³ -4m + 4m - 6 +3
= 7m⁵ -3m³ - 3
Answered by Gauthmath must click thanks and mark brainliest
A manufacturer of radio sets produced 600 units in the third year and 700 units in the
seventh year. Assuming the production uniformly increases by a fixed number every year,
the production in the first year is
b) 530
d) 570
a) 500
c) 550
Answer:
Step-by-step explanation:
The easiest way to explain this is to use slope and then writing equations for lines. The reason for that is because we are told that the production uniformly increases. That "uniform increase" is the rate of change, and since the rate of change is constant, we are talking about the slope of a line, where the rate of change is constant throughout the whole length of the line.
Create coordinates from the info given:
In the third year, 600 units were made. Time is always an x thing, so the coordinate is (3, 600). Likewise for the other bit of info. Time is always an x thing, so the coordinate is (7, 700). Applying the slope formula:
[tex]m=\frac{700-600}{7-3}=\frac{100}{4}=25[/tex] which means that 25 units per year are produced. Write the equation to find the number of units produced in any year. I used the point-slope form of a line to do this:
y - 600 = 25(x - 3) and
y - 600 = 25x - 75 so
y = 25x + 525
If we want to know the number of units in the first year, we will replace x with 1 and do the math:
y = 25(1) + 525 so
y = 550 units, choice C.
Convert 7 6/7 into an improper fraction.
Answer:
55/7Explanation:
Step 1
Multiply the denominator by the whole number
7 × 7 = 49
Step 2
Add the answer from Step 1 to the numerator
49 + 6 = 55
Step 3
Write answer from Step 2 over the denominator
Answer = 55/7
I hope you are enjoying your day and that this helps you out! Brainliest would be appreciated :)Answer:
55/7
Step-by-step explanation:
To convert 7 6/7 to an improper fraction
Start by multiplying the whole number with the denominator 7 x 7 = 49Then add the numerator to the number you get 49 + 6 = 55 The 55 will be your numerator for your improper fraction. 55/7 The denominator will remain the sameFind the coordinate of J' after a reflection of the triangle about the y-axis. Write your answer in the form (a,b)
Answer:
A (3,3)
J (5,2)
L (0,0)
Step-by-step explanation:
.........................
A brick is in the shape of a rectangular prism with a length of 6 inches, a width of 3 inches, and a height of 5.5 inches. The brick has a density of 2.7 grams per cubic centimeter. Find the mass of the brick to the nearest gram.
pls pls pls help
y............. xnxnxnxnxnccncncncnnncncjcjnf
solve for x.
solve for x.
solve for x.
Answer:
x = 10
Step-by-step explanation:
7(x+1+7)=6(x+5+6)
or, 7(x+8)=6(x+11)
or, 7x+56=6x+66
or, 7x-6x=66-56
or, x=10
Answered by GAUTHMATH
Answer pls……………………….
Answer:
D
Step-by-step explanation:
x^2=y^3
Then x^6=y^9 but x^3z=z^9 so 3z=6, z=2
Answer:
z = 2
Step-by-step explanation:
[tex]x^{3z} = y^{9}\\\\x^{3z} =y^{3*3} \\\\x^{3z}= (y^{3})^{3}\\\\x^{3z}=(x^{2})^{3}\\\\x^{3z} = x^{6}[/tex]
As bases are same, compare the powers
3z = 6
z = 6/3
z = 2
Please Help Asap Its Pre-Calculus
The point (−2, 2) is a solution to which of the following systems?
y > −2x + 2 and y > x + 5
y < x + 2 and y > x − 1
y < 2x + 8 and y ≥ −x − 3
y < 2x + 3 and y ≥ −2x − 5
The point [tex](-2,2)[/tex] is a solution of the system given by [tex]y<2x+8[/tex] and [tex]y \geq -x-3[/tex]
Given point: [tex](-2,2)[/tex]
Given systems:
[tex]y>-2x+2[/tex] and [tex]y>x+5[/tex] [tex]y<x+2[/tex] and [tex]y>x-1[/tex] [tex]y<2x+8[/tex] and [tex]y \geq -x-3[/tex] [tex]y<2x+3[/tex] and [tex]y \geq -2x-5[/tex]To find: The system to which the given point is a solution
If a point is a solution of a system, then the coordinates of the point satisfies all the equation(s) or inequation(s) of the system. So, we can substitute the x & y coordinates of the given point into the inequalities of each of the given systems and check if the inequalities are satisfied by the coordinates of the point.
(1) [tex]y>-2x+2[/tex] and [tex]y>x+5[/tex]
Substitute the coordinates of the point [tex](-2,2)[/tex] into the inequalities of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y>-2x+2[/tex] to get,
[tex]2>-2(-2)+2[/tex]
[tex]2>4+2[/tex]
[tex]2>6[/tex]
The above inequality is clearly impossible and thus, the coordinates of the given point does not satisfy this inequality.
This implies that the given point is not a solution of this system.
(2) [tex]y<x+2[/tex] and [tex]y>x-1[/tex]
Substitute the coordinates of the point [tex](-2,2)[/tex] into the inequalities of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y<x+2[/tex] to get,
[tex]2<-2+2[/tex]
[tex]2<0[/tex]
The above inequality is clearly impossible and thus, the coordinates of the given point does not satisfy this inequality.
This implies that the given point is not a solution of this system.
(3) [tex]y<2x+8[/tex] and [tex]y \geq -x-3[/tex]
Substitute the coordinates of the point [tex](-2,2)[/tex] into the inequalities of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y<2x+8[/tex] to get,
[tex]2<2(-2)+8[/tex]
[tex]2<-4+8[/tex]
[tex]2<4[/tex]
This is a true inequality. Then, the given point satisfies the first inequality of the system.
We will now check if the point satisfies the second inequality of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y \geq -x-3[/tex] to get,
[tex]2 \geq -(-2)-3[/tex]
[tex]2 \geq 2-3[/tex]
[tex]2 \geq -1[/tex]
This is also a true inequality. Then, the given point also satisfies the second inequality of the system.
Thus, the given point is a solution of this system.
(4) [tex]y<2x+3[/tex] and [tex]y \geq -2x-5[/tex]
Substitute the coordinates of the point [tex](-2,2)[/tex] into the inequalities of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y<2x+3[/tex] to get,
[tex]2<2(-2)+3[/tex]
[tex]2<-4+3[/tex]
[tex]2<-1[/tex]
The above inequality is clearly impossible and thus, the coordinates of the given point does not satisfy this inequality.
This implies that the given point is not a solution of this system.
Thus, we can see that the coordinates of the given point [tex](-2,2)[/tex] satisfies the inequalities of the third system only.
Then, the point [tex](-2,2)[/tex] is a solution of the system given by [tex]y<2x+8[/tex] and [tex]y \geq -x-3[/tex].
Learn more about geometric solutions of system of linear inequalities here:
https://brainly.com/question/17174433
Sabrina is 4, and her brother Sam is 9 years older than she is. In how many years will Sam be twice as old as Sabrina?
Factor the polynomial and explain answer
Hi there!
[tex]\large\boxed{(n - 8)(n + 5)}[/tex]
n² - 3n - 40
Find two numbers that sum up to -3 and multiply into -40. We get:
-8, 5
Thus:
(n - 8)(n + 5)
I just need the number can anyone give me them please ???
Answer:
here are the points (0,-6), (-2,1), (2,2), (6,3)
Step-by-step explanation:
you just use the rise over run rule, which means that the top number is the rise and the bottom number is the run. In this case the rise is 1 and the run is 4. So, you would move up one space then move 4 spaces to the right, but because the graph is cut off you can reverse it and it would be the same thing, it would just be in a different area of the graph. So you go, down 1 and left 4 instead. hope this helps :)
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x plus 7 end quantity minus 1 equals x
Answer:
x=2 true solution
x=-3 extraneous
Step-by-step explanation:
sqrt(x+7) -1 = x
Add 1 to each side
sqrt(x+7) -1+1 = x+1
sqrt(x+7) = x+1
Square each side
(sqrt(x+7))^2 = (x+1)^2
x+7 = x^2 +2x+1
Subtract x from each side
7 = x^2 +x +1
Subtract 7 from each side
0 = x^2 +x - 6
Factor
0 = (x+3)(x-2)
Using the zero product property
x+3 = 0 x-2 =0
x=-3 x=2
Check solutions
x=-3
sqrt(-3+7) -1 = -3
sqrt(4) -1 = -3
3 =-3 extraneous
x=2
sqrt(2+7) -1 = 2
sqrt(9) -1 = 2
3 -1 =2
2 =2 true
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU K NOW THE ANSWER!!
The entire group of objects or individuals under consideration in a survey is the ________________.
A. population
B. establishment
C. corporation
D. entity
Answer:
A: population
Step-by-step explanation:
Um its just the definition of the word i think.
Population: a collection of persons, things, or objects under study.
Use a calculator to find the mean of the data. {20.9, 24.6, 20.3, 24, 20.9, 24.9, 22.4,
23.5, 21.9, 21.9, 22.3, 21.2, 19.9, 23.2, 23.1, 21.6, 24, 20.8, 24.2, 20.1, 22.9, 25}
Answer:
The mean will be 22.436363636364.. or 22.4 (rounded to the nearest tenth)
you add them then divide by 22 since it has 22 terms, to find the mean
Answer:
use a calculator and add all values and divide by 22
u et final value as ( as per me not sure..maybe mistake) is
493.6/22 and ans Is 22.4363636364
Sally decides to buy quarts of ice cream at $5 each and boxes of pizza at $10 each for her softball team.
Part 1) Write an algebraic expression that represents the total cost of the food if Sally buys x quarts of ice cream and y boxes of pizza.
Part 2) What is the total cost of Sally’s purchase if x=4 and y=5? Be sure to show your work.
Answer:
5x + 10y
5*4 + 10*5
20+50 = $70
Step-by-step explanation:
Will Mark Brainlest Help Please ,,,,
[tex]\\ \sf\longmapsto 2x+y=2[/tex]
[tex]\\ \sf\longmapsto 2x=2-y[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]
And
[tex]\\ \sf\longmapsto x+1=y+2[/tex]
[tex]\\ \sf\longmapsto x=y+2-1[/tex]
[tex]\\ \sf\longmapsto x=y+1[/tex]
Put the value[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]
[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]
[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]
[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]
[tex]\\ \sf\longmapsto 3y=0[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]
[tex]\\ \sf\longmapsto y=\infty[/tex]
Put in eq(1)[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Answer:
x=1 , y=0
Step-by-step explanation:
2x+y=2.......1
x+1=y+2
x-y=2-1
x-y=1...... 2
from equation 2 we get ,
x-y=1
x=1+y
putting the value of x in equation 1 we get,
2*(1+y) +y=2
2+2y+y=2
2+3y=2
3y=2-2
3y=0
y=0/3
y=0
putting the value of y in equation 2 we get,
x-0=1
x=1+0
x=1
hence x=1 , y=0
Can someone help me with this please !!
Step-by-step explanation:
I need help to...
I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.
Jill can type 28 words per minute. At this rate, how many words can Jill type in 5.5 minutes?
A.
154
B.
157
C.
159
O
D.
162
Answer:
A
Step-by-step explanation:
Multiply 28 by 5.5
28 × 5.5 = 154 words → A
Answer:
the awnser is a=154
hope that helps
Step-by-step explanation:
can u give me brainliest
WILL MARK BRAINLIEST!!
Angelica uses the point 4,3 to represent the location of her house and uses the point 10,8 to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica’s house? Show your work.
Answer:
Angelica's house is 11 miles away from the gas station.
Step-by-step explanation:
The most simple path from Angelica's house is 11 blocks away from the gas station and each unit/block is 1 mile. So 11 miles.
Determine the factors of x^2 - 7x - 10.
O (x + 2)(x - 5)
O Prime
O (x-2)(x + 5)
O (x + 10)(x - 1)
Answer:
O Prime
Step-by-step explanation:
x^2 - 7x - 10
What two numbers multiply to -10 and add to -7
There are no two number that multiply to -10 and add to -7
Answer:
x^2 - 7x - 10
Think about it like this: What two numbers multiply to get -10 and add to get -7?
But no matter what we try, this doesn't work. And that's because x^2 - 7x - 10 is actually prime.
So "Prime" is the correct answer.
Let me know if this helps.
factorise the expression 6x²y + 15xy²
Find the area of the figure.
we observe that this figure could be divided into a triangle and a rectangle.
for the area of the triangle, bxh/2, we have 15 x 12/2 = 90
and for the rectangle, we have 5 x 12 = 60
so, 90 + 60 = 150
hope it helps :)
What is the intersecting point of these two lines?
1. y = 3/4x + 6
2. y = x + 1
Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer leg. Determine the lengths of the three sides of the triangle. (3 marks)
Answer:
5, 12, 13
Step-by-step explanation:
let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg
Using Pythagoras' identity in the right triangle
x² + (x - 7)² = (x + 1)² ← expand using FOIL
x² + x² - 14x + 49 = x² + 2x + 1
2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )
x² - 16x + 48 = 0 ← in standard form
(x - 4)(x - 12) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 12 = 0 ⇒ x = 12
x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible
x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13
The lengths of the 3 sides are
longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m
