please help question is in picture
Answer:
It is the second answer [tex]3^{8} b^{10}[/tex]
Step-by-step explanation:
This is easier to understand if you write it out in expanded form.
[tex](3^{4} b^{5}) ^{2}[/tex] means
[tex](3^{4} b^{5})[/tex][tex](3^{4}b^{5)}[/tex] We do this twice because that is what the exponent tells us to do that is outside of the parentheses.
Now write this out in expanded form and we will have
(3x3x3x3xbxbxbxbxb)(3x3x3x3xbxbxbxbxb) If we put all of the 3's and b's together we get
3x3x3x3x3x3x3x3xbxbxbxbxbxbxbxbxbxb
[tex]3^{8} b^{10}[/tex]
the power of powers principle tells us that when we have an exponent raised to an exponent, we multiple the exponents. (4 x 2 = 8 and 5 x 2 = 10)
the population in Smalltown was 3,187 in 2017 . 148 more people moved to smalltown. in 2018 . 219 more people moved to smalltown . what was the population of smalltown in 2018 ?
Answer:
3080983
Step-by-step explanation:
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Review 16
Madison wrote a 6-digit number in her math
notebook and then subtracted the number from
689,142. She got a difference of 404,433. What is
the number Madison wrote?
Consider the following equation.
6x - 4y = 9
Step 1 of 2: Determine the missing coordinate in the ordered pair (-4, ?) so that it will satisfy the given equation.
The missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is -33/4.
Let the missing ccordinate of the ordered pair be m.
According to the given question.
We have an equation 6x - 4y = 9.
Here, we have given a ordered pair (-4, ?) which satisfy the given equation 6x - 4y = 9.
Therefore, the missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is given by
6x - 4y = 9
⇒ 6(-4) - 4(m) = 9
⇒ -24 - 4m = 9
⇒ -4m = 9 + 24
⇒ -4m = 33
⇒ m = -33/4
Hence, the missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is -33/4.
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You are choosing between two health clubs. Club A offers membership for a fee of plus $18 a monthly fee of $20 Club B offers membership for a fee of $12 plus a monthly fee of $23 After how many months will the total cost of each health club be the same? What will be the total cost for each club?
Please help thank you
Answer:
x=5
Step-by-step explanation:
so after five months, the costs would equal each other.
Explanation:
You'd have to write equations for the price per month for each club.
Let x equal the number of months of membership, and y equal the total cost. Club A's is y=25x+40 and Club B's is y=30x+15.
Because we know that the prices, y, would be equal, we can set the two equations equal to each other.
25x+40=30x+15.
We can now solve for x by isolating the variable.
25x+25=30x.
25=5x.
5=x
After five months, the total cost would be the same.
A tringle is shown.
The triangle is translated 8 units to the left, then reflected over the x-axis.
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.
In the two functions fand g, fog and go fare both equivalent to x. Which of the following statements must be TRUE?
........... what is a day of the week that you do not like? and why. Just curious!
In 7 days of a week, most of us do not like Monday because all the work starts again on monday after a weekend.
We need to tell the day in a week which we do not like in a week.
What is the first day of a week?Sunday is the first day of a week.
In a week there will be 7 days, sunday, monday, tuesday, wednesday, thursday, friday and Saturday. In this most of the people dont like monday because after a weekend the starting would be monday where one has to start the work.
Therefore monday is a day of week which i do not like.
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Purchase a home for $160,000 , have a down payment of 25% the bank charges two points at closing, how much are they paying in points
Your customers are investing $160,000 in a house. How much points are they paying in total if they put down a 25% down payment and the bank charges two points at closing? The loan amount after their 25% down payment ($160,000 x.75 = $120,000).
A down payment is a quantity of money that a buyer pays at the beginning of a pricey good or service purchase. A portion of the entire purchase price is covered by the down payment, and the buyer frequently takes out a loan to cover the balance.
This sum is typically expressed as a percentage of the overall cost of buying the house. A typical down payment is 20%, for instance, which means the buyer will pay 20% of the total purchase price up front. During the closing procedure, this sum is typically paid in the form of a cashier's check.
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The product of five and number, increased by 34 is 24. What is the number?
Answer:
The number is -2
Step-by-step explanation:
First let's turn this into an equation
5 times a number (we'll use x) + 34 = 24
5x+34= 24
Now to start solving the problem
First thing's first, let's carry over the 34 to the other side by subtracting 34 from both sides. This helps us try to get x by itself
5x+34 = 24
-34 -34
5x = -10
Now we just divide both sides by 5 to get rid of it entirely from the x
5x = -10
/5 /5
x = -2
Your number should be -2
We can also check by plugging -2 back into the equation for x
5 (-2) +34 = 24
-10 +34 = 24
24 = 24
Since they are both equal, -2 is really your answer
I hope this helps :)
Which is the graph of f(x)=√4x ?
Answer:
These are the type of graphs that equation would equal too.
Hope this helps! <3
what is the surface area of triangular pyramid?
Answer:
223.5 in²
Step-by-step explanation:
The surface area of a triangular pyramid comprises:
Area of the base triangle.Area of 3 congruent side triangles.Area of a triangle
[tex]\sf A=\dfrac{1}{2}bh[/tex]
where:
b = baseh = heightFrom inspection of the diagram:
Base triangle: b = 10 in, h = 8.7 inSide triangles: b = 20 in, h = 12 in[tex]\begin{aligned}\implies \textsf{Area of the base triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 8.7\\& = \sf 5 \cdot 8.7\\& =\sf 43.5\:in^2\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{Area of a side triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 12\\& = \sf 5 \cdot 12\\& =\sf 60\:in^2\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{S.A. of the triangular pyramid} & = \textsf{base triangle}+\textsf{3 side triangles}\\& = \sf 43.5 + 3(60)\\& = \sf 43.5 + 180\\& = \sf 223.5\:in^2\end{aligned}[/tex]
Therefore, the surface area of the given triangular pyramid is 223.5 in².
The graph of the curve C with equation y = f(x) is transformed to give
the graph of the curve S with equation y = f(-x) - 5
The point on C with coordinates (8, 3) is mapped to the point Q on S.
Find the coordinates of Q
Answer:
(-8,-2)
Step-by-step explanation:
f(-x) - 5 is horizontally reflected and moved down 5 units from f(x)
So first reflecting we get
(-8,3)
Then moving down 5 units we get
(-8.-2)
if this was helpful pls give me brainliest <3
PLS ANSWER ASAP
Solve for g. − 3 + 5 + 6 g = 11 − 3 g
Write a rule to describe each transformation please I need help asp
Answer:
The figure is reflected over the line x = -2
Step-by-step explanation:
If you drew a vertical line at x = -2, you would see that each point is the same distance from x = -2 but on the right side. E and E' are the same point because they are on the line x + -2. Point D is 3 units to the left of x = -2 for D' is 3 units to the right of x = -2 and so one
Missing value of principal when rate is 12% and time is 5 years will simple interest is $87
The principal is $145 .
Simple interest is the interest amount for a particular principal amount of money at rate of interest. The interest is calculated by multiplying the principal with the time and rate. The total amount after a certain time is given by the sum of the principal and the interest for that time.
The formula for calculating the Interest on a Principal(P) , time(t) and rate(R).
Interest=P×R×t
Now let us consider the principal to be P.
Time(t)=5 years
Simple Interest(I)=$87
Rate(R)=12%=0.12
Now let us find the principle for the this interest using the above formula.
I=P×R×t
Substituting the given values we calculate the Principal(P).
[tex]87=P\times0.012\times5\\or,P=87\div(0.012\times5)\\or,P=87\div0.6\\or,P=145[/tex]
Therefore the Principal for the simple interest of $87 for 5 years at rate of 12% is $145.
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Express the following using the Roster Method.
O = {x|x∈ N and x is odd}
Step-by-step explanation:
the answer is o={3,5,79,11,13,15,17.....................}
can someone help me with this?
thank you so much! :)
Step-by-step explanation:
it seems there is some trick question involved.
we find such answers by putting a horizontal line through the y points and see, where the horizontal line is intersecting the function graph and go straight down to the x-axis to see the value of x for that y value.
the horizontal line through y = -1.5 does not intersect at all.
so, in one hand the answer is "no solution".
but on the other hand, we could assume that the function graph continues further to the right (and down).
and then the intersection point would be
(7.5, -1.5),
and the corresponding x = 7.5.
for y = 0 the horizontal line is the x-axis itself. so, for what values of x does the x-axis intersect the function curve ?
at x = -3, and at x = 6.
for y = 2 the corresponding horizontal line is intersecting the function curve at
x = -2.125 (it looks like it is at the half of the half of the half unit as the grid unit left of -2, so it is -2 - 1/2³ = -2 1/8 = -2.125)
x = 0.5
x = 4 (it just touches the tip of the curve there)
for y = 2.5 there is truly no solution. that horizontal line does not intersect the function curve at any point.
The graph of a normal curve is given. Use the graph to identify the value of and . μ sigma
From the given graph the value of μ is 530 and the value of σ is 15.
In the Normal Curve the value at which the shape of the graph is highest is called it's mean(μ) and the value on the left of mean is μ-σ and the value on the right of the mean is μ + σ .
In the Given question
the shape of the graph is highest at 530,
hence the value of mean(μ) = 530. ....(i)
we know that the value on the left of mean is μ-σ .....(ii)
From the graph the value to the left of mean(μ) is 515. ...(iii)
Equating equation (ii) and (iii) we get ,
μ-σ = 515
Substituting the value of μ from equation (i) we get ,
530 - σ = 515
σ = 530 - 515
σ = 15
Therefore , From the graph the value of μ is 530 and the value of σ is 15.
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A doctor administers a drug to a 34-kg patient, using a dosage formula of 55mg/kg/day. Assume that the drug is available in a 200 mg per 5 mL suspension or in 300 mg tablets. a. How many tablets should a 34-kg patient take every four hours? b. The suspension with a drop factor of 10 gtt/mL delivers the drug intravenously to the patient over a twelve-hour period, i.e the patient receives the daily dose over a 12 hour period. What infusion rate should be used in units of gtt/hr?
The patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.
Given that, a doctor administers a drug to a 34-kg patient, using a dosage formula of 55mg/kg/day.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of tablets should a 34-kg patient takes every four hours to be x.
Now, 55 × 34 = 1870 mg/day
For every four hours:
1870 × 1 /24 × 4 = 311.666
≈312 mg per 4 hours
So, x=312/4 × 1/300 = 78 × 0.0033
=0.26 tablet
Liquid suspension is for every 12 hours:
So, 312/12 × 1/200 = 26 × 0.005 = 0.13 mL
Hence, the patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.
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A plastic page designed to hold trading cards will hold up to 7 cards. How many pages will be needed to store 513 cards? Give an appropriate counting number answer to the question. (Find the least counting number that will work.)
The number of pages that would be needed to store 513 cards is (Simplify your answer)
Answer: 73 Pages
Step-by-step explanation: divide the cards by max cards in one plastic page aka
513 divided by 7 = 73
and a decimal but you cant have a decimal of an item ( if that makes sense)
question 14: please help asap !!!!
Answer:
practice to do your self
Pls help it’s due soon
Answer:
Movie duration:1.5hrs
See the picture below, please
Answer:
n is 1/3
Step-by-step explanation:
if u solve the problem normally then it gives 0/0 form so
x(2x^2-1)/3x cross out the numerator and denominator x and x from 3x then keep 0 in place of x.
(2 x 0 ^2-1)/3 = -1/3
since the function is continuous at x = 0 so n = -1/3
I don't understand someone please help. :(
Answer:
d I'm leaning towards d
Step-by-step explanation:
a doesn't make sense B can't be because we went adding d is phrased wrong
A married couple filing jointly has a taxable income of $75,000. How much will they pay in federal
income taxes?
O $8612
O $6672
O $9000
O $7500
The amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.
What is income tax?Income tax is the compulsory obligation a taxpayer must remit to the IRS for each fiscal year based on the taxpayer's taxable income.
The tax rate based on the filer's tax bracket is applied to the taxable income to determine the tax payable.
Using the graduated system, of the $75,000, the first $20,550 is taxed at 10%, which gives $2,055. That leaves $54,450 in income. The next portion of the taxable income from $20,550 to $83,550 is taxed at 12%. This means $54,450 is getting taxed at 12%, which gives $6,534. The total tax due is $8,589, which averages $9,000.
Data and Calculations:Taxable income = $75,000
Tax bracket = 12%
Tax liability = $9,000 ($75,000 x 12%)
Tax Rates for married couples filing jointly are as follows:
10% tax rate for income between $0 and $20,550
12% tax rate for income between $20,551 and $83,550
22% tax rate for income between $83,551 and $178,150
24% tax rate for income between $178,151 and $340,100
32% tax rate for income between $340,101 and $431,900
35% tax rate for income between $431,901 and $647,850
37% tax rate for income of $647,851 or more
Thus, the amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.
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All cookies are made with sugar Oreos are a cookie so Rosa knows Oreos are made with sugar
Is it Inductive or deductive
All cookies are made with sugar Oreos are a cookie so Rosa knows Oreos are made with sugar is Inductive.
A cookie is a compact, flat, and sweet baked or cooked snack or dessert. It is often made using flour, sugar, an egg, and some kind of oil, fat, or butter. Other components such as raisins, oats, chocolate chips, almonds, and so on may be used.
Sandwich biscuits with marshmallows or jam filling and often dipped in chocolate or another sweet coating, such as custard creams, Jammie Dodgers, Bourbons, and Oreos, are examples of biscuit or cookie varieties. Cookies are frequently served with liquids such as milk, coffee, or tea, and are occasionally "dunked," a method of releasing more flavor from confections by diluting the sugars and reducing their texture.
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List a and b for each of them
1) The intersection of sets A and B is; A ∩ B = {1, 3}
2) The complement of set A is; A' = {4, 5, 6, 9, 10}
How to interpret Mathematical Sets?
We are given the sets;
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 7, 8}
B = {1, 3, 9, 10}
1) The intersection of sets A and B simply means the numbers that are common to both sets. Thus;
A ∩ B = {1, 3}
2) The complement of set A is defined as the set that contains the elements present in the universal set but not in set A. Thus;
A' = {4, 5, 6, 9, 10}
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please answer question in the picture
Cody decreased the speed of his car by 3.5 miles per second over a period of 60 seconds Find the average change in speed each second
Answer:
Step-by-step explanation:
To get your answer, you would want to use the expression -3.5/60. So your answer will be -0.058.