We use an exponent law here.
Since 1/xⁿ = x⁻ⁿ for positive number a and real number n, it follows that
1 / 9⁴ = 9⁻⁴
The expression 1/9^4 can be changed to an expression using a negative exponent by applying the negative exponent rule, resulting in 9^-4.
To change the expression 1/9^4 to one using a negative exponent, we can apply the property of negative exponents which states that x^-n = 1/x^n. The expression 1/9^4 can thus be written as 9^-4 because we are in essence taking the inverse of 9 raised to the fourth power.
Here is the step-by-step explanation:
Identify the base and the positive exponent in the original expression: 1/9^4. Here, the base is 9, and the positive exponent is 4.Apply the negative exponent rule: x^-n = 1/x^n. This tells us that to convert a fraction like 1/x^n into an expression with a negative exponent, we simply keep the base the same and make the exponent negative.Thus, 1/9^4 becomes 9^-4.
which is greater. 8.72 or 8.720
Actually neither is greater.
these two numbers are equal to each other.
All because 8.720 has an extra number doesn't mean its greater. Because the number place is 0 is gives no significant value and is therefore the same as 8.72.
The bottom line is...
8.72 = 8.720
At 8:00 a.m. the temperature outside in Juneau, Alaska was -16.5 . By noon the temperature had increased by 15.25 . What is the temperature at noon?
It would be -1.25 degrees at noon.
simplify radical √m^4 n^7
answers
-mn^2 √n
-m^2n^2 √n
-m^2n^3 √n
[tex]\sqrt{m^{4} n^{7} }[/tex]
= [tex]\sqrt{m*m*m*m*m*N*N*N*N*N*N*N}[/tex]
Look for groups of 2 (a group of two on the inside, makes one on the outside)
= [tex]m*m*N*N*N\sqrt{N}[/tex]
= [tex]m^{2} n^{3} \sqrt{n}[/tex]
Answer: C
10.125 as percent help please
10.125 as a percentage is 1012.5%
Answer:
10.125 = 1012.5%
Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}[/tex]
therefore
[tex]a=a\cdot100\%[/tex]
----------------------------------------------
[tex]10.125=10.125\cdot100\%=1012.5\%[/tex]
A local hamburger shop sold a combined total of 237 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold
Order the correlation coefficients from weakest to strongest negative correlation -0.59 , -0.18 , -0.82 , -0.37
The correlation coefficients from weakest to strongest negative correlation can be arranged as -0.18, -0.37, -0.52, and -0.82.
What is the correlation coefficient?The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at all, therefore, independent variable.Given the correlation coefficients as -0.59 , -0.18 , -0.82 , -0.37. Now, as we know that the number closest to 1 is stronger, while the number closest to 0 is weakest. Therefore, the correlation coefficients from weakest to strongest negative correlation can be arranged as,
-0.18 < -0.37 < -0.59 < -0.82
Hence, the correlation coefficients from weakest to strongest negative correlation can be arranged as -0.18, -0.37, -0.52, and -0.82.
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he minute hand of a clock moves from 12 to 10 o'clock, or five sixths of a complete revolution. Through how many degrees does it move? Through how many radians does it move?
The degree of a complete rotation is 360 degrees.
5/6th of a rotation = 5/6 X 360
that is 300 degrees.
Thus the minute hand moves 300 degrees.
(Sorry, I'm not sure about the radians ;-) )
If the minute hand of a clock moves from 12 to 10 o'clock, or five-sixths of a complete revolution, by 300 degrees it will move.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that, the minute hand of a clock moves from 12 to 10 o'clock, or five-sixths of a complete revolution.
The degree of a complete rotation is 360 degrees.
5/6th of a rotation it covers,
= 5/6 × 360
=300 degree
Any given angle must be multiplied by π/180 to be converted from the degree scale to the radian scale.
=300 × π/180
=5.235 radians
As a result 5.235 radians, will move.
Thus, if the minute hand of a clock moves from 12 to 10 o'clock, or five-sixths of a complete revolution, by 300 degrees it will move.
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Simplify.
x + (7 + 14 x )
[tex]x+7+14x[/tex] Take off the parenthesis
[tex]15x+7[/tex] Combine Terms
*(Answer)*= [tex]15+7[/tex]
Hope this helps
BangtanBoyScouts
Write and solve an inequality that models the situation.
Suppose you can get a higher interest rate on your savings if you maintain a balance of at least $1000 in your savings account. The balance in your savings account is now $1053. You deposit $44.50 into your account. What is the greatest amount that you can withdraw and still get the higher interest rate?
Answer:
$99.50
Step-by-step explanation:
Given that only if a minimum balance of 1000 dollars is maintained it will attract high interest.
To enjoy the privilege of high interest, it should be ensured that the balance does not go below 1000 dollars at any point of time.
Keeping the above in mind, we see that
Balance as of now .. 1053 dollars
Deposit .. 44.50 dollars
Balance after deposit .. 1097.50 dollars
Minimum balance .. 1000 dollars
Maximum amount
that can be withdrawn .. 1097.50 -1000 = 97.50 dollars.
Find the measure of z.
A. 80°
B. 83 °
C. 70 °
D. 87 °
As you walk to your car, you notice that your tire is nearly flat. The initial psi level yesterday was 38, but it is now only 35 today. If this trend continues and the tire keeps losing the same percentage of air, how much should be left at the end of the week?(7 days later)
Answer:
Air left in the Tyre after 1 week = 21.36 psi
Explanation:
Initial psi level = 38 psi
Psi level after 1 day = 35 psi
Percentage of remaining of air per day = (35/38)*100 = 92.10%
Ratio of remaining air per day = 0.921
Ratio of remaining air after 7 days = 0.921⁷ = 0.562
Percentage of remaining air after 7 days = 56.21%
Air left in the Tyre after 1 week = 38*56.21/100 = 21.36 psi
The student's question is about calculating the expected tire pressure at the end of a week, based on a consistent daily percentage decrease from an initial 38 psi to 35 psi. It involves a mathematical analysis using exponential decay, which is a high school level mathematics topic.
The question involves finding the projected tire pressure after a week given an initial pressure of 38 psi that has decreased to 35 psi in one day. The percentage decrease from 38 psi to 35 psi is calculated first, and then this percentage is consistently applied to find the remaining pressure after 7 days using exponential decay since the tire loses the same percentage of air each day.
Step 1: Calculate the percentage decrease.
Initial pressure (yesterday) = 38 psi
Current pressure (today) = 35 psi
Percentage decrease = ((38 - 35) / 38) x 100%
Step 2: Apply this percentage decrease for 7 days using the formula:
Pn = P0 * (1 - percentage decrease)^n
Where:
Pn is the pressure after n days
P0 is the initial pressure
n is the number of days
By calculating P7, we can find the expected pressure at the end of the week.
Step 3: Substitute the known values and calculate the expected pressure after 7 days.
Suppose the size of each cube is doubled and the size of the large box is doubled. How many of these new cubes will fit in that new large box?
for every 13 baskets mr mcdoagh made ,ms klien made 2 baskets.if mr mcdonagh made 22 more baskets than ms klien did, how many baskets did they each make.
Using a system of equations based on the ratio of baskets made by Mr. McDonagh to Ms. Klein (13 to 2) and the information that Mr. McDonagh made 22 more baskets than Ms. Klein, we determine that Ms. Klein made 4 baskets and Mr. McDonagh made 26 baskets.
To solve how many baskets each person made, we will set up a ratio and use algebra to find the number of baskets made by Mr. McDonagh and Ms. Klein. We are given that for every 13 baskets Mr. McDonagh made, Ms. Klein made 2. Let's denote the number of baskets Mr. McDonagh made as M and the number of baskets Ms. Klein made as K.
According to the ratio, we can write [tex]\frac{M }{ K} = \frac{13 }{ 2}[/tex]. We also know that Mr. McDonagh made 22 more baskets than Ms. Klein, which can be written as M = K + 22. Now we have a system of equations:
[tex]\frac{M }{ K} = \frac{13 }{ 2}[/tex]
M = K + 22
Substitute M in the first equation with (K + 22):
[tex]\frac{K+22 }{ K} = \frac{13 }{ 2}[/tex]
2(K + 22) = 13K
2K + 44 = 13K
44 = 11K
Divide both sides by 11:
K = 4
Ms. Klein made 4 baskets. Now we can find how many baskets Mr. McDonagh made by substituting K back into one of our original equations:
M = 4 + 22
M = 26
Mr. McDonagh made 26 baskets.
which represents the inverse of the function f(x)=2x+1?
f(x) = 2x + 1
To find the inverse, f^-1(x), of the function:
Put the function as an equation:
y = 2x + 1
Then move x to the left and y to the right;
x = 2y + 1
Then solve for y;
y = x/2 - 1/2
f^-1(x) = y
f^-1(x) = x/2 - 1/2
Given that 1 kilogram weighs approximately 22 pounds, rewrite 10 pounds as an equivalent number of kilograms
Answer:
0.4545 kgs.
Step-by-step explanation:
Given that 1 kg weighs approximately 22 pounds.
i.e. 1kg= 22 lbs.
We can use this to convert lbs into kg.
22 lbs = 1 kg
Hence 1 lb = 1/22 = 0.04545 kg
Now to find out the equivalent weight for 10lbs,
we have conversion factor as 1 lb= 0.04545 kg
Hence 10 lbs = 10(0.04545) = 0.4545 kgs
Hence 10 pounds written in equivalent kgs would be0.4545 kgs.
use inequality symbol to compare -3 + 7--------10 - 2
[tex]-3+7=4[/tex]
[tex]-10-2=-12[/tex]
[tex]4>-12[/tex]
2b+4=-18-9b ; solving equations with variables on both sides
To solve this, first add -9b on both sides of the equation to get the variable on only one side of the equation.
2b+4=-18-9b
2b+9b+4=-18-9b+9b
11b+4=-18
Then subtract 4 from both sides of the equation.
11b+4=-18
11b+4-4=-18-4
11b=-22
Divide 11 on both sides of the equation to find the values of b.
[tex]\frac{11b}{11}[/tex]=[tex]\frac{-22}{11}[/tex]
b=-2
What is the reason for the fourth and eighth steps in the proof
Answer:
its D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
It's quite easy and simple, but I need help with it.
Arrange the number in decreasing order: 8.508 8.58 7.5 7.058
8.58 , 8.508 , 7.5 , 7.058 :]
Answer: 8.58, 8.508, 7.5, 7.058
There are 21 more days before the first big winter storm and the squirrel collects 12 acorns a day, how far away from her original amount will the squirrel be? Explain. What should the squirrel do to the bear to get even with him for eating all those acorns?
The squirrel will collect a total of 252 acorns in the 21 days before the winter storm. This is calculated by multiplying 12 acorns/day by 21 days. Instead of retaliating against a bear, the squirrel should focus on preparing for winter.
Explanation:If the squirrel collects 12 acorns a day and there are 21 more days until the big winter storm, we can calculate the total number of acorns the squirrel will collect. We do this by multiplying the number of acorns collected per day by the number of days remaining, which gives us:
12 acorns/day × 21 days = 252 acorns
After 21 days, the squirrel will have accumulated 252 acorns more than the original amount she had before the given 21-day period.
Regarding what the squirrel should do to get even with the bear for eating the acorns, it's important to remember that animals in nature often have to deal with challenges like this. The squirrel could focus on collecting more acorns, perhaps finding a better hiding place to store them, to prepare for the winter storm. However, revenge actions, such as retaliating against the bear, are not advisable nor part of natural behaviors in wildlife, and focusing on preparations for winter would be a more practical approach for survival.
The square root of 5 is between which two integers
[tex]2<\sqrt5<3\\\\\text{because}\\\\2^2=4\\(\sqrt5)^2=5\\3^2=9\\\\2^2=4<(\sqrt5)^2=5<3^2=9[/tex]
Integers are positive and negative numbers without decimal points.
The square root of 5 is between 2 and 3
The number is given as:
[tex]\mathbf{n = \sqrt{5}}[/tex]
Evaluate the square root
[tex]\mathbf{n = 2.2361}[/tex]
The above number is greater than 2 but less than 3.
So, we can say that:
2.2361 is between 2 and 3
Hence, the square root of 5 is between 2 and 3
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the temperature in Indianapolis was-4°F at 7:00 am. the temperature rose 3°F by noon. What was the temperature at noon? use a number line to find the answer
myra withdraws the same amount of money from her checking account each week. In 4 weeks, she withdraws a total of $200. Which equation represents the amount of money her account changes by each week?
$50 less each week $200 divided by 4
Myra withdraws the same amount of money from her checking account each week.
In 4 weeks, she withdraws a total of $200.
Let she withdraws t amount from her account each week
Then, 4t=$200
t= $ 200/4
i.e. t= $50
So, amount in her account becomes $50 less each week
i.e. If she had $x in her account
then after w weeks amount in her account will be:
x - 50w
which numbers round to 3,100 when rounded to the nearest hundred
one number that could round to 3 100 when rounded is 3 120
pepper jackie decides her map of the youth center is too small. She draws a new map of the youth center that is 3 times larger. What is the scale of the map?
Solution:
Let starting map of youth center has Dimension (Preimage)
1 unit of y= k units
1 unit of x = t units
The new map of youth center which is 3 times larger than original(Image)
1 unit of y= 3 k units
1 unit of x = 3 t units
Image = 3 × Pre- image
The image is larger than Pre- image.
So, Scale of the new map = 3 × The original dimension of map.
Answer:
the answer is 1 in: 4 ft
Step-by-step explanation:
i took the test and hopefully i’ve helped you luv
Amy earned $40 babysitting last week. This week she earned $18. What is the percentage of change.
The percent of change is 45%.
This can be found, by simply dividing 18, by 40, which would give you 0.45, then multiplying 0.45 by 100, to make it a percentage.
I hope this helps!
Plz help best answer gets brainly
Someone help please please someone
(1-52/2+5)=(1-26+5)=(-25+5)=-20
continuing:
-20*2*6*6= -40*6*6=-240*6=-1440
result: -1440
A __________ is NOT rigid motion transformation.
rotation
dilation
translation
reflection
*(The Answer)*= C. Dilation
*(Explanation)*= If you search than you will find that translation, rotation, and refection or the one that are ridged, however, dilation is.
Answer:
The correct option is 2. A dilation is NOT rigid motion transformation.
Step-by-step explanation:
Rigid motion transformation : A transformation is called a rigid motion transformation if a point or object is moved, but the size and shape remain the same.
In rotation, the point of figure is rotated about the center of rotation but the size and shape remain the same.
Therefore rotation is a rigid transformation and option 1 is incorrect.
In dilation, the figure is stretched of compressed by the scale factor k along the center of dilation, so the size of figure is either increase of decrease.
Therefore dilation is not a rigid transformation and option 2 is correct.
In translated, the point of figure is shifted but the size and shape remain the same.
Therefore translation is a rigid transformation and option 3 is incorrect.
In reflection, the point of figure is reflected about the line of reflection but the size and shape remain the same.
Therefore reflection is a rigid transformation and option 4 is incorrect.