9514 1404 393
Answer:
b: 7^18 / 7^9
c: (7^3)^3
e: 7^4 * 7^5
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
__
The given expression is ...
[tex]7^8\cdot7=7^8\cdot7^1=7^{8+1}=7^9[/tex]
The offered alternatives are ...
[tex]\textbf{a: }7^3\cdot7^3=7^{3+3}=7^6\quad\textbf{not equivalent}\\\\\textbf{b: }\dfrac{7^{18}}{7^9}=7^{18-9}=7^9\quad\textbf{equivalent}\\\\\textbf{c: }(7^3)^3=7^{3\cdot3}=7^9\quad\textbf{equivalent}\\\\\textbf{d: }7^4+7^5=7^4(1+7)=8\cdot7^4\quad\textbf{not equivalent}\\\\\textbf{e: }7^4\cdot7^5=7^{4+5}=7^9\quad\textbf{equivalent}[/tex]
Maddy received $60 for her birthday and decided to go shopping. She bought 2 shirts priced at $12.25 each, a necklace for $8.50, and a pair of shoes for $22.75. If all the prices included tax, and she gave the cashier all of her birthday money, how much change did she get back?
Answer:
$3.75
Step-by-step explanation:
Cost of one shirt = $12.25
cost of two shirt = 2*Cost of one shirt= 2*$12.25 = $25
cost of necklace = $8.50
cost of pair of shoes = $22.75
Total cost for the shopping = cost of two shirt+cost of necklace+ cost of pair of shoes
Total cost for the shopping = $25 + $8.50+ $22.75 = $56.25
Given that Maddy had done total shopping worth $56.25 but she gave cashier all her birthday money which is equal to $60.
Then , cashier will return all the money from $60 exceeding $56.25
change returned to money = money given to cashier - total cost for shopping
change returned to Maddy = $60 - $56.25 = $3.75
Thus, Maddy got Back $3.75
A person invests 4500 dollars in a bank. The bank pays 5.75% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10000 dollars?
Answer:
Around 10.6 years
Step-by-step explanation:
5.75% of 4500 is 258.75
then we will need to subtract the current amount from the final amount.
10000-4500=5500
next
5500/258.75=21.256
finally
21.256/2=10.628
The person leaves the money in the bank until it reaches 10000 dollars.
We have given that
A person invests 4500 dollars in a bank.
The bank pays 5.75% interest compounded semi-annually.
Therefore we have,
What is compounded semi-annually?The principal of a loan or investment at the beginning of the compounding period, in this case, every six months, includes the total interest from each previous period
5.75% of 4500 is 258.75
[tex]=\frac{5.75}{100}\times 4500\\ =258.75[/tex]
Then we will need to subtract the current amount from the final amount.
10000-4500=5500
5500/258.75=21.256
21.256/2=10.628
The person leaves the money in the bank until it reaches 10000 dollars.
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Ra=5q-ma solve for a
Answer:
a = 5q/(r + m)
Step-by-step explanation:
ra = 5q - ma
ra + ma = 5q
a(r + m) = 5q
a = 5q/(r + m)
Please mark me the brainliest!?!
Hannah competes
in a 10 km run.
She completes
the race in
2 hours.
What was her
average speed?
Answer:
5 km/h
Step-by-step explanation:
Speed is the ratio of distance to time. Hannah's speed is ...
s = d/t
s = (10 km)/(2 h) = 5 km/h
Her average speed was 5 km per hour.
PLEASE HELP ME!
How much tax is owed or how much refund is expected? Tax due $ 1374 and tax withheld $678.
A. refund $696
B. refund $678
C. tax owed $696
D. tax owed $5678
Answer:
The answer is C
Step-by-step explanation:
where are vertices A located?
Answer:
(3, 4) works, but there are other correct answers.
Step-by-step explanation:
We are given 2 vertices of a right triangle.
There is an infinite number of points that can be the third vertex and form a right triangle. There is not enough information to answer with a unique point.
One answer is point (3, 4) making <A the right angle of the triangle.
Does anyone know this?
Area = 3.14 * (12 miles)² = 452.16 miles²
The weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb and a standard deviation of 2.9 lb. If 32 fish are randomly selected, what is the probability that the mean weight will be more than 10.9 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.
Answer: 5.94%
Step-by-step explanation:
Let X be the random variable that represents the weights of the fish.
Given: Weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb ([tex]\mu[/tex]) and a standard deviation of 2.9 lb ([tex]\sigma[/tex]).
sample size : n= 32
The probability that the mean weight will be more than 10.9 lb:
[tex]P(\overline{X}>10.9)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{10.9-10.1}{\dfrac{2.9}{\sqrt{32}}})\\\\=P(Z>1.56)\\\\=1-P(Z<1.56)\\\\=1- 0.9406\ \ [\text{By p-value table}]\\\\=0.0594=5.94\%[/tex]
Hence, the required probability = 5.94%.
Simplify this equation please
Answer:
[tex]\boxed{2\cos^2\theta}[/tex]
Step-by-step explanation:
[tex]\cot^2\theta \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{1}{\tan^2 \theta} \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{1}{\dfrac{\sin^2\theta}{\cos^2\theta} } \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{\cos^2\theta}{\sin^2\theta } \sin^2\theta+\cos^2\theta[/tex]
[tex]\cos^2\theta+\cos^2\theta[/tex]
[tex]2\cos^2\theta[/tex]
I need help fast. Its 8th grade math, multiple choice question. (I added photos)
Answer:
C (5.1 + 2y + 1.2 = -2 + 2y + 8.3)
2.61 is 5.8% of what number?
Answer:
45.
Divide 48 by 100 (48/100*)
Then, multiply by the given percentage, 5.8%
→ The formula to find percentage is to divide the found number by 100 and then multiply by the closest given number.
Therefore,the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
As per the given information
Let the number is [tex]x[/tex].
[tex]\frac{2.61}{x}=\frac{5.8}{100}\\\\\\2.61(100)=5.8(x)\\\\\\261=5.8x\\\\\\x=\frac{261}{5.8}\\\\\\x=45[/tex]
Hence, the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]
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What goes in blank????
Determine the solution set of x(squared) + 9x + 20 = 0 by factoring.
Answer:
[tex]x=-4,\:x=-5[/tex]
Step-by-step explanation:
[tex]x^2+9x+20=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}x^2+9x+20:\quad \left(x+4\right)\left(x+5\right)\\\\\left(x+4\right)\left(x+5\right)=0\\\\Using\:the\:Zero\:Factor\:Principle:\\\quad\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\\\mathrm{Solve\:}\:x+4=0:\quad x=-4\\\\\mathrm{Solve\:}\:x+5=0:\quad x=-5\\\\x=-4,\:x=-5[/tex]
Answer:
Factored form: (x+4)(x+5) = 0
x = -5 or -4
Step-by-step explanation:
To factor x^2 + 9x + 20, we need to find 2 numbers that multiply to 20 and add up to 9.
The reason for that is because when you multiply (x+a)(x+b) using FOIL, you will get x^2 + ax + bx + ab.
Anyway, 4 and 5 would satisfy this, because 4+5 = 9 and 4*5 = 20. We can then factor the equation to (x+4)(x+5).
To solve (x+4)(x+5) = 0, we need to make either x+4 = 0 or x+5 = 0. That means x can be either -5 or -4.
PLEASE HELP!!!!! WILL GIVE BRAINLIEST!!
Xiao is at the cash register of her favorite store. The total price of her items is $150. She hands the clerk a 25% off coupon. How much money will Xiao save with this coupon?
$25
$30
$37.50
$45
Answer:
$37.50
Step-by-step explanation:
The answer is $37.50
Veronique found the difference of a number and 8. Which expression models the situation? n minus 8 StartFraction 8 Over n EndFraction StartFraction n Over 8 EndFraction 8 minus n
Answer:
Veronique found the difference of a number and 8.
Which expression models the situation?
n-8
8/n
n/8
8 - n
Step-by-step explanation:
A:(n-8) is correct
Answer:
N-8
Step-by-step explanation:
I just finished the quiz
Whats a quadrilateral
1. The stem and leaf plot gives the agesof the last 15 presidents when they were inaugurated Table 1: Key:3j5 = 35 Stem Leaf 4 3 6 7 5 1 2 4 4 5 6 6 0 1 2 4 9 7 0
If a function is defined by the equation y=12x−32, which equation defines the inverse of this function?
A. y=2x+3
B. y=2x+32
C. y=2x−3
D. y=2x−32
Answer:
A. Y=2x+3
Step-by-step explanation:
because im right
If a function is defined by the equation y = 2x−32, the equation that defines the inverse of this function would be: B. y=2x+32
How to determine the inverseTo determine the inverse of the function, we would first replace x with y in the function:
y = 2x - 32
x = 2y - 32
x + 32 = 2y
Divide both sides by 2
x/2 + 32/2 = y
f−1(x) = x/2 + 32/2
The common facot between the denominatoes of the values is 2. So, when expanded, we have;
(x + 32)/2
So, the closest option that represents the inverse is B. y=2x+32.
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WILL MARK BRANIEST FOR GOOD ANSWER AND FOR ANSWERING IT RIGHT
THE QUESTION IS ATTACHED BELOW
Answer:
The answer is C beacause it is 20 times greater than the other numbers
, when substituted for the variable, makes the equation 5 x − 3 = 7 true?
Answer:
x should equal 2
Step-by-step explanation:
5x2=10
10-3=7
HELPPPPPP PLEASE!!!
Answer:
6/h = 10/40
Step-by-step explanation:
Answer:
6/h = 10/40
Step-by-step explanation:
b x h = w
10=b
6=h
so its 6/h and 10/40
i think
Name two quadrilaterals that have four right angles.
Answer: Rectangle and square
Step-by-step explanation:
question 6 Which set of coordinates does NOT represent a function?
Answer:
The first one
Step-by-step explanation:
You can't repeat coords on the x or y coordinate, meaning that the one to the left is wrong because it is the only one that repeats
Answer:
First table
Step-by-step explanation:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain(x) is matched with exactly one element in the range(y). If so, you have a function!
Let's try it on the first table; Lucky us! we found it! the value 1 and 2 repeat more than once connecting with with two DIFFERENT y values!
A larger number is five more than twice a smaller number. Their sum is 80. Find the numbers.
Answer:25 and 55
Step-by-step explanation:
if you double 25 you get 50 add five and you get 55.
55+25=80
Can anyone please help me with this?
Answer:
7.2
Step-by-step explanation:
lily has some chocolate with a mass of 220g. she eats 30g of the chocolate.
find the percentage of the chocolate she has not eaten
The percentage of the chocolate she has not eaten is 86.4%
How to find percentageTotal mass of chocolate = 220gMass eaten = 30gMass not eaten = Total mass of chocolate - Mass eaten
= 220 - 30
= 190g
Percentage not eaten = 190/220 × 100
= 0.86363636363636 × 100
= 86.3636363636363%
Approximately,
86.4%
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Can someone rate my answer and tell me how i did pls /I measured my door in my room. The height was 74 inches and the length was 35 inches so to find the area you would multiply 74 by 35
Answer:
Partially correct!!
Step-by-step explanation:
To find the area, you only need to multiply LENGTH x WIDTH. So, you did it correctly.
Not the height and the length. You wouldn't need the height to calculate area! Good try though! If you're still stuck next time you measure a door, look up how to calculate area if you are ever stuck.
After a shopping spree at Target, John realized he spent three times more money than his brother Mike. They spent a total of $160. If you choose x to represent the
amount of money that Mike spent, what choice below would represent the amount of money that John spent?
Answer:
John spent around $53
Step-by-step explanation:
The equation is 3x=160
Since the "x" is already by itself on one side, divide 160 by 3
160÷3=53.333⇒
Now if that's not the way IT CAN ALSO BE:
30x3+70=160! That means John spent $90
The number of students in chorus increased 25 percent this year. If there are 20 more students in chorus this year than there were last year, how many students are in chorus this year
Answer:
100
Step-by-step explanation:
if 25% is 20, 20*4=80
80+20=100
-t/4=-3 solve the equation. Check your solution
Answer:
see below
Step-by-step explanation:
-t/4=-3
Multiply each side by -4
-t/4 *-4=-3*-4
t = 12
Check
-12/4 = -3
-3 = -3