Answer:
Its 1/4^10
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.
What is power?Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression (4⁻²)⁵ can be simplified as shown below.
(4⁻²)⁵
= (1/4²)⁵
= (1/16)⁵
= 1⁵/16⁵
= 1 / 1048576
It can also be rewritten in the form of exponents as,
(4⁻²)⁵
= 4⁽⁻²ˣ⁵⁾
= 4⁻¹⁰
Hence, the given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.
Learn more about Power:
https://brainly.com/question/23432317
#SPJ5
please answer this, Thnks, also, whoever does, is amazing and i love you for it. LOL IM CrAzY
Answer:
35[tex]\pi[/tex]
Answer:
C = 35 * pi
Step-by-step explanation:
The circumference is pi * d
The new diameter is 5 cm longer than the given one.
d = 30 + 5
d = 35
C = 35 * pi
Anybody know how to do this? I need help
The cost of an online movie rental service is $89.94 for 6 month. What is the cost per month? Please show work
Pizza is cut into six equal pieces each slice is then cut in half to create two smaller equal pieces. what fraction of the total pizza does one of the small pieces represent??
Answer:
1/12
Step-by-step explanation:
6 x 2 = 12
6 = the original amount of slices
2 = it was cut in half so multiply by 2
each slice now represents 1/12
Answer:
Each slice represents 1/12th of the total pizza.
Step-by-step explanation:
1 = 1/6 = 1/12
i'm not really sure whats the answer is
here are the first four terms of a sequence. 1/2 4/3 9/4 16/5. find the nth term of this sequence.
Answer:n^2/(n+1)
Step-by-step explanation:
n=1
1^2/(1+1) = 1/2
n=2
2^2/(2+1) = 4/3
n=3
3^2/(3+1) = 9/4
Answer:
n^2/(n + 1)
Step-by-step explanation:
The numerators are the squares of the sequence numbers 1^1 2^2 3^2....
The denominators are the sequence numbers + 1, so the nth term is
n^2/(n + 1).
Sue has 7/8 of her book left to read. If she reads another 2/7 of the book how much of the book will she have left?
A 33/56
B 1/5
C 5/8
D 23/40
Answer:
A. 33/56
Step-by-step explanation:
Make them have the same denominator of 56
so you get for the first one 49/56
the second one will be 16/56
subtract both and you get your answer of 33/56
Answer: A. 33/56
Step-by-step explanation:
To get the number of pages left, all we need to do is to subtract 2/7 from 7/8
number of pages left = 7/8 - 2/7
=49 - 16 / 56
= 33/56
Create an expression without parentheses that is equivalent to 4(6x + x).
Find the distance between the two points shown in the coordinate plane below to the nearest hundredth.
(-2, -2)
(3, 4)
Answer:
7.81
Step-by-step explanation:
Given points (-2,-2) and (3, 4)
To find distance between points we apply distance formula
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
(x1,y1) is (-2,-2) and (x2,y2) is (3,4)
Plug in the values in the formula
[tex]D = \sqrt{(3-(-2))^2+(4-(-2))^2}[/tex]
[tex]D = \sqrt{(5)^2+(6)^2}[/tex]
[tex]D = \sqrt{25+36}[/tex]
[tex]D = \sqrt{61}[/tex]
D= 7.810249676
Round to nearest hundredth
So distance = 7.81
Evaluation the expression when x=-1 and y=3.
5x^-6y^-2
—————
Y
Put the vales of x and y to the expression:
[tex]x=-1;\ y=3\\\\\dfrac{5x^{-6}y^{-2}}{y}=\dfrac{5(-1)^{-6}(3)^{-2}}{3}=\dfrac{5(-1)^6\left(\dfrac{1}{3}\right)^2}{3}=\dfrac{5(1)\left(\dfrac{1}{9}\right)}{3}=\dfrac{\dfrac{5}{9}}{3}\\\\=\dfrac{5}{9}\cdot\dfrac{1}{3}=\boxed{\dfrac{5}{27}}[/tex]
if two angles of a triangle each measure 45 degrees what is the third angle
Since we know that there are exactly 180 degrees in any triangle, and if each angle is equal to 45 degrees, we must add 45 to 45 and then subtract the result from 180 to find the 3rd angle. Since 45+45=90,we subtract 180-90 and get 90 degrees or a right angle.
The measure of the third angle is 90° a right angle isosceles triangle.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.'
Given, a triangle with a measure of its two angles is 45° and 45°.
∴ The measure of the third angle is 180° - (45 + 45)°.
= 180° - 90°.
= 90°.
It is an isosceles right-angle triangle.
learn more about triangles here :
https://brainly.com/question/16886469
#SPJ2
Select Independent or Not independent for each description of events.
P(A)=0.3, P(B)=0.5, P(A|B)=0.15
P(A)=0.2, P(B)=0.4, P(A|B)=0.2
P(A)=0.6, P(B)=0.2, P(A|B)=0.3
Answer:
When two events X and Y are independent,
Then, P(X ∩ Y) = P(X) × P(Y)
We know that,
[tex]P(\frac{X}{Y})=\frac{P(X\cap Y)}{P(Y)}\text{ and }P(\frac{Y}{X})=\frac{P(X\cap Y)}{P(X)}[/tex]
Thus, by substituting the value of P(X ∩ Y),
[tex]P(\frac{X}{Y})=P(X)\text{ and }P(\frac{Y}{X})=P(Y)[/tex]
Which is the required condition for independent events.
In first option,
P(A)=0.3, P(B)=0.5, P(A|B)=0.15
[tex]\implies P(\frac{A}{B})\neq P(A)[/tex]
⇒ A and B are not independent events
In second option,
P(A)=0.2, P(B)=0.4, P(A|B)=0.2
[tex]P(\frac{A}{B})=P(A)[/tex]
⇒ A and B are independent events.
In third option,
P(A)=0.6, P(B)=0.2, P(A|B)=0.3
[tex]\implies P(\frac{A}{B})\neq P(A)[/tex]
⇒ A and B are not independent events
First Part: Not independent
Second Part: Independent
Third Part: Not independent
Two events A and B are independent if:
[tex]P(A|B)=P(A|B') \\Or,P(B|A)=P(B|A')[/tex]
Given,
[tex]P(A)=0.3, P(B)=0.5, P(A|B)=0.15[/tex]
[tex]P(A)=0.2, P(B)=0.4, P(A|B)=0.2[/tex]
[tex]P(A)=0.6, P(B)=0.2, P(A|B)=0.3[/tex]
[tex]P(A\cap B)=P(A|B)P(B)[/tex]
Then by substituting we get,
[tex]P(A|B)=P(A)[/tex] and [tex]P(B|A)=P(B)[/tex]
Computation of First probability:
So, if the probability is independent it will follow the above conditions.
[tex]P(A|B)=0.15\\P(A)=0.3\\0.3\neq 0.15\\ P(A|B)\neq P(A)[/tex]
So, it is not independent
Computation of second probability:
So, if the probability is independent it will follow the above conditions.[tex]P(A|B)=0.2\\P(A)=0.2\\0.2=0.2\\ P(A|B)= P(A)[/tex]
So, it is independent
Computation of second probability:
So, if the probability is independent it will follow the above conditions.
[tex]P(A|B)=0.3\\P(A)=0.6\\0.3\neq 0.6\\ P(A|B)\neq P(A)[/tex]
So, it is not independent.
Learn More: https://brainly.com/question/11348505
Naomi and Sofia go to the movie theater and purchase refreshments for their friends. Naomi spends a total of $111.25 on 9 drinks and 8 bags of popcorn. Sofia spends a total of $33.25 on 3 drinks and 2 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
Answer: popcorn = $5.75 per bag
Step-by-step explanation:
Set up the equation for each person.
Let x represent the cost of one drink and y represent the cost of one bag of popcorn.
drinks popcorn Cost EQUATION
Naomi: 9 8 $111.25 9x + 8y = 111.25
Sofia: 3 2 $33.25 3x + 2y = 33.25
Next, solve the system:
9x + 8y = 111.25 → 1(9x + 8y = 111.25) → 9x + 8y = 111.25
3x + 2y = 33.25 → -3(3x + 2y = 33.25) → -9x - 6y = -99.75
2y = 11.50
y = 5.75
Answer:
System of equations :
$111.25=$9x+$8y
$33.25=$3x+$2y
The cost of 1 drink = $x = $7.25
The cost of 1 popcorn bag = $y = $5.75
Step-by-step explanation:
Given :
Naomi spends a total of $111.25 on 9 drinks and 8 bags of popcorn.
Sofia spends a total of $33.25 on 3 drinks and 2 bags of popcorn.
To Find : A system of equations that can be used to find the price of one drink and the price of one bag of popcorn.
Solution :
Let cost of 1 drink = $x
⇒ cost of 9 drinks = $9x
⇒ cost of 3 drinks = $3x
Let cost of 1 popcorn bag = $y
⇒Cost of 8 popcorn bags = $8y
⇒Cost of 2 popcorn bags = $2y
Since Naomi spends a total of $111.25 on 9 drinks and 8 bags of popcorn.
So, equation will be : $111.25=$9x+$8y --(A)
Since, Sofia spends a total of $33.25 on 3 drinks and 2 bags of popcorn.
So, equation will be : $33.25=$3x+$2y--(B)
SOLVING A and B by using substitution method
finding value of x from equation B :
[tex]x=\frac{33.25-2y}{3}[/tex]
Putting this value in Equation (A)
⇒[tex]111.25=9(\frac{33.25-2y}{3})+8y[/tex]
⇒[tex]111.25=99.75-6y+8y[/tex]
⇒[tex]111.25=99.75+2y[/tex]
⇒[tex]y = 5.75[/tex]
Thus, cost of 1 popcorn bag =y = $5.75
Now put this value of y in equation A to get value of x
⇒$111.25=$9x+$8(5.75)
⇒$111.25-$46 = 9x
⇒$65.25 = 9x
⇒65.25/9 = x
⇒$7.25 = x
Thus, The cost of 1 drink = $x = $7.25
Sam initially invested $4,500 into a savings account that offers an interest rate of 3% each year. He wants to determine the number of years, t, for which the account will have less than or equal to $7,020. Create the inequality that represents this situation and plot the solution set to the inequality on the number line.
[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&7020\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill \end{cases}[/tex]
[tex]\bf 7020\geqslant 4500(1+0.03t)\implies \cfrac{7020}{4500}\geqslant 1+0.03t\implies \cfrac{39}{25}\geqslant 1+0.03t \\\\\\ \cfrac{39}{25}-1\geqslant 0.03t\implies \cfrac{14}{25}\geqslant 0.03t\implies \cfrac{~~\frac{14}{25}~~}{0.03}\geqslant t\implies \cfrac{56}{3}\geqslant t \\\\\\ 18\frac{2}{3}\geqslant t\impliedby \textit{18 years and 8 months}~\hfill \boxed{0 \leqslant t \leqslant 18\frac{2}{3}} \\\\\\ ~\hspace{34em}[/tex]
check the picture below.
bearing in mind that "t" cannot be less than 0.
Jamal is shopping with a gift card he received for his birthday. After he purchases two T- shirts the gift card balance has dropped from $50 top $20.02. What is the unit rate of the cost per T- shirt?
Answer:
14.99
Step-by-step explanation:
20.02=50-2t
20.02-50= -2t
-29.98= -2t
Solve the proportion below. 55/x=5/6 x=? A. 50 B. 60 C. 56 D. 66
Answer:D)66
Step-by-step explanation:
55 /x = 5/ 6
Step 1: Cross-multiply.
55 /x = 5/ 6
(55)*(6)=5*x
330=5x
Step 2: Flip the equation.
5x=330
Step 3: Divide both sides by 5.
5x /5 = 330 /5
x=66
Answer:
d
Step-by-step explanation:
what is the 52nd term for the following sequence ? 14,6,-2,-10,-18
Answer:
[tex]a_{52}[/tex] = - 394
Step-by-step explanation:
these are the terms of an arithmetic sequence with nth term
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
where d is the common difference and [tex]a_{1}[/tex] the first term
d = - 18 - (- 10) = - 10 - (- 2) = - 2 - 6 = - 8 and [tex]a_{1}[/tex] = 14, hence
[tex]a_{52}[/tex] = 14 + (51 × - 8) = 14 - 408 = - 394
a gray whale traveled 152 kilometers in one day. the whale swam between 7 and 8 kilometers each hour.About how many hours did it take the whale to swim the distance? Show two different ways that you can use compatible numbers to find an answer.Then solve.
Answer:
152/7=21.714 hrs
152/8=19
It took the whale between 19 and 21.7 hours to swim 152 kilometers
Step-by-step explanation:
What is the better buy? 1.50 for 5 oz 1.20 for 3 oz
To find the better buy, calculate the unit price of each item by dividing the cost by the weight, and compare them. The first item at $1.50 for 5 oz has a lower unit price ($0.30 per oz) than the second item at $1.20 for 3 oz ($0.40 per oz), so it is the better buy.
Explanation:To determine which is the better buy between two products, you need to calculate the unit price for each and then compare them.
The unit price is the cost per unit of weight or volume.
Calculate the unit price of the second item: $1.20 for 3 oz means the cost per ounce is $1.20 ÷ 3 oz = $0.40 per oz.Compare the unit prices: The first item has a lower unit price ($0.30 per oz) compared to the second item ($0.40 per oz), making it the better buy.Final answer:
To find the better buy between $1.50 for 5 oz and $1.20 for 3 oz, calculate the cost per ounce for each and compare. The first option is cheaper at $0.30 per ounce compared to the second option at $0.40 per ounce.
Explanation:
To determine which is the better buy between $1.50 for 5 oz and $1.20 for 3 oz, we need to calculate the cost per ounce for each option.
Step-by-step Comparison
Calculate the cost per ounce for the first option: Divide $1.50 by 5 oz to get $0.30 per ounce. Calculate the cost per ounce for the second option: Divide $1.20 by 3 oz to get $0.40 per ounce. Compare the two cost per ounce figures: The first option at $0.30 per ounce is cheaper than the second option at $0.40 per ounce.
Therefore, the better buy is the first option, $1.50 for 5 oz, since it has a lower cost per ounce.
*20 points*
Four times a number is
six less than twice the number what is the number?
Answer:
your number is n= -3
Step-by-step explanation:
Answer:
n=-3
Step-by-step explanation:
4n-2n=-6
2n=-6
2 x n / 2 = 6 / 2 then simplify to get the answer! Hope this is Helpful! ;3
draw a bar model that shows how the number of hours in March compared with the number of hours in February of this year
Answer: Your answer will be 1,416
Step-by-step explanation: First you see how many day March and February had March had 31 days and 31 days= 744 hours and February has 28 days and 28 days= 672 hours so know I add the two numbers 744 + 672 = 1,416.
Answer:
You should multiply with the days in March which is 744 hours. And then you have to multiply with the days in February witch is 696 and then you have to subtract them.
Step-by-step explanation:
have a nice day.
Need help with this asap!!!
Answer:
C x-3
Step-by-step explanation:
3 less than x - 49
Is means =
less than means - (reversing the order)
x-3 = 49
Answer: C) x - 3 = 49
Step-by-step explanation: X represents the number that we are subtracting things from. 3 is how much (the number that we are) subtracting. 49 is the difference/answer. The problem is pretty much asking us to subtract 3 from x and get 49 as the answer. So, if you wrote that mathematically, the answer would be x - 3 = 49.
Hope that helped, fam!
-Une :D
The ratio of boys to girls in Anaya’s class is 10 to 15. There are 20 boys how many girls are there
Answer:
30 girls
Step-by-step explanation:
10 x 2= 20
15x2=30
For every 10 boys there are 15 girls. since 20 is just 10 multiplied by 2 you can multiply 15 by 2
I need help with numbers 7-9 please
Answer:
C
5(10)+10=60
-2(-5)+7=17
Step-by-step explanation:
EMERGENCY I HAVE TO TURN THIS IN TOMORROW!!!!
sally's soccer team played 25 games and won 17 of them. what percent did the team win? please leave an step by step explanation.
The Percentage of Sally's Team Wins :
[tex]\bf{\implies (\frac{Number\;of\;Games\;won\;by\;the\;Team}{Total\;Number\;of\;Games\;the\;Team\;Played}) \times 100}[/tex]
Given : Total Number of Games the Team Played = 25
Given : Number of Games won by the Team = 17
[tex]\bf{The\;Percentage\;of\;Team\;Wins = (\frac{17}{25}) \times 100}[/tex]
⇒ The Percentage of Sally's Team Wins = (17 × 4) = 68%
Sally's soccer team played 25 games and the team won 17 games. What percent of games did the team win?
The fraction [tex]\frac{17}{25}[/tex] represents the number of games that Sally's soccer team won out of all the games the team played.
To find what percent of games the team won, we can turn the fraction [tex]\frac{17}{25}[/tex] into a percent.
17 ÷ 25 = 0.68
0.68 × 100 = 68%
Therefore, Sally's soccer team won 68% of the games they played.
How to solve this equation?
Answer:
Take it slowly
Step-by-step explanation:
[tex]\bf 5(x-5)^2-9=6\implies 5(x-5)^2=15\implies (x-5)^2=\cfrac{15}{5}\implies (x-5)^2=3 \\\\\\ \sqrt{(x-5)^2}=\sqrt{3}\implies x-5=\sqrt{3}\implies x=\sqrt{3}+5[/tex]
What is the foil method of (X+3)(x-4)
Answer:
(x-1) x-12
Step-by-step explanation:
Step 1 : Multiply first term of the first bracket to the first term of the other bracket
Step 2 : Then multiply the first term of the first bracket to the last term of the second bracket.
Step 3 : Now come to the second term of first bracket, multiply second term with first term of second bracket.
Step 4 : Finally multiply last term of first bracket with the last term of the second bracket.
Step 5 : Adding all the answers got from the steps, we get the final answer.
Final answer:
The FOIL method is an algebraic technique for multiplying two binomials, represented as (First, Outer, Inner, Last). For the expression (X+3)(x-4), we apply this method to get x^2 - x - 12 after combining like terms.
Explanation:
The FOIL method is a technique used in algebra to multiply two binomials. The acronym FOIL stands for First, Outer, Inner, Last and refers to the order in which you multiply the terms in the binomials. Applying the FOIL method to the expression (X+3)(x-4), we multiply the First terms (x × x), the Outer terms (x × -4), the Inner terms (3 × x), and the Last terms (3 × -4), then sum them all.
Step-by-step, this looks like:
First: x × x = x^2
Outer: x × (-4) = -4x
Inner: 3 × x = 3x
Last: 3 × (-4) = -12
Now, combine these results to get the final expression:
x^2 - 4x + 3x - 12
Combining like terms, we have:
x^2 - x - 12
Plz answer this question
Answer:
We will need 5 1/3 lbs of hamburger
Step-by-step explanation:
We can use ratio's to solve this problem. We will put breadcrumbs on top and hamburger on bottom.
1/4 c 1 1/3 c
--------- = -----------
1 lb x lbs
Using cross products
1/4 *x = 1 * 1 1/3
1/4x = 1 1/3
Multiply each side by 4
4 * 1/4 x = 4 * (1 1/3)
x = 4 * 1 1/3
We need to convert 1 1/3 to an improper fraction
1 1/3 = (3*1+1)/3 = 4/3
x = 4 * 4/3
x = 16/3
Now we need to convert it back to a mixed number
3 goes into 16 5 times with 1 left over
x = 5 1/3 lbs
Population density is the number of people per unit of area. What is the population density of a state that has 1,627,260 people in 1,490 square miles? Round to the nearest whole number
Answer:
= 1092 people/ sq mile
Step-by-step explanation:
Population density is the number of people per unit of area.
We know the population is 1627260
The are is 1490 mi ^2
Population density = 1627260/1490
=1092.120805 people / sq mile
Round to the nearest whole number
= 1092 people/ sq mile
Does anybody know this?! I really need help...
Answer:
70
Step-by-step explanation:
Range is the difference between the lowest and the hist number
Range=max-min
120-50=70
since 120 is the highest number and 50 is the lowest you subtract and get 70
Hope this helps!
I got 83.48 so i think it's B 85%