Answer:
What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of
Using p as the variable for the problem below, solve for p. Submit your answer
as an inequality, using "<=" for < or ">" for ≥ if necessary. Round to two
decimal places.
Hosting a dinner party for 38 people, you plan to serve peach pie for dessert.
Each pie has 8 slices. How many pies must you buy to ensure each guest
gets 1 slice?
Answer:
Step-by-step explanation:
As host, we want to insure each guest has at least one slice of pie. We can say (1 Slice/Guest) and use this as a conversion factor. We also know each pie has 8 slices: (8 Slices/1 Pie). Since this is a conversion factor, we can invert it to (1 Pie/8 Slices). We expect 38 people and want to convert that number of people to the number of pies, p, we need.
p (pies) [tex]\geq[/tex] (38 Guests)*(1 Slice/Guest)*(1 Pie/8 Slices)
We use the [tex]\geq[/tex] sign to note that we need a minimum of pies to be sure everyone is served.
p (pies) [tex]\geq[/tex] (38 )*(1 /)*(1 Pie/8 )
Note how the units cancel:
Guests and Slices both cancel and we are left with pies as the only remaining unit, as we hoped we'd see.
p [tex]\geq[/tex] (38/8) pies
p = 4 +(6/8) pies
Since we cannot purchase 6/8 of a pie, we need to round up to 5 pies.
5 pies, at 8 slices per pie, will provide 40 servings, enough for the 38 guests.
The height of a cone is twice the radius of its base. a cone has a height of 2 x and a radius of x. what expression represents the volume of the cone, in cubic units?
Answer:
Step-by-step explanation:
The volume of a cone is V = 1/3 [tex]\pi[/tex] * h * r^2
The height of the cone = the diameter of its circle.
Here is the expression:
Volume = 1/3 π * 2x * x^2
[tex]\frac{\pi *x^{2} *2x}{3}[/tex]
Hope I helped!
What is the best name for the part of the figure
identified by the arrow?
O line of reflection
O line of symmetry
O plane of reflection
O axis of symmetry
The best name for the part of the figure identified by the arrow is the plane of reflection option third is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have given a three-dimensional figure.
As we can see the arrow is pointing at the plane.
A triangular prism is reflected over the given plane and creates a mirror image of a triangular prism.
A plane is a plane of symmetry.
Thus, the best name for the part of the figure identified by the arrow is the plane of reflection option third is correct.
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A triangle has a base length of 3ac2 and a height 5 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 5.
Answer:
45750 cm²
Step-by-step explanation:
Area of triangle:a = 4 and c = 5
base length = 3ac²
= 3 * 4 * 5 * 5
= 300 cm
height = 5 cm more than the base length
= 300 + 5
= 305 cm
[tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base \ length * height}[/tex]
[tex]\sf =\dfrac{1}{2}*300*305\\\\= 150 * 305\\\\= 45750 \ cm^2[/tex]
Rosa has $12.29 and spends $4.85. To the nearest dollar, about how much does she have left?
A $3
B $5
C $7
D $9
Please help! I'm not understanding this question. Giving 75 points! Please provide an explanation as to why that is the answer as well. Thank you!
What is i* if i = 0?
A. 0
B. 6
C. 8
D. 9
E. none of these
Answer:
A, the answer is A
The answer is a because the question say what is I if I = 0. The question basically gave you the answer. In other words the question said, I = 0 what is I? Sorry if this is a bit confusing, I’m not that good at explaining.
Hope this helps!
5|2x+6|=26...can someone answer this please
Answer:
x = -2/5 or x = -28/5
Step-by-step explanation:
Let's solve your equation step-by-step.
5(|2x+6|)=26
Step 1: Divide both sides by 5.
5(|2x+6|)/5 = 26/5
|2x+6|=26/5
Step 2: Solve Absolute Value.
|2x+6|=26/5
We know either2x+6= 26/5 r2x+6=−26/5
2x + 6 = 26/5(Possibility 1)
2x+6−6= 26/5 - 6 (Subtract 6 from both sides)
2x = -4/5
2x/2 = -4/5/2 (Divide both sides by 2)
x = -2/5
2x + 6=-26/5 (Possibility 2)
2x+6= -26/5 (Simplify both sides of the equation)
2x + 6 - 6 = -26/5 - 6 (Subtract 6 from both sides)
2x = -56/5
2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5
Answer:
x = -2/5 or x = -28/5
−−→AB=(xy)
What values should x an y take?
The values x and y take are 5 and 0 respectively.
We know that in mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way.
The relationships between two or more things are frequently represented by the points on a graph.
In this case, we have to determine the values of x and y.
Notice that in this graph, point A is located at A = 5 and point B is located at B = 0.
So, we can write (A, B) = (x, y) = (5, 0)
Therefore, the values x and y take are 5 and 0 respectively.
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find the equation of the arithmetic sequence in which t(5)=40 and t(10)=70.
The equation of the arithmetic sequence in which t(5)=40 and t(10)=70 is tₙ = 10 + 6n
How to find the equation of an arithmetic sequence?The equation of an arithmetic sequence can be represented as follows;
tₙ = a + (n -1)d
where
a = first termd = common differencen = number of termsHence,
70 = a + 9d
40 = a + 4d
30 = 5d
d = 30 / 5
d = 6
Therefore,
40 = a + 4(6)
40 - 24 = a
a = 16
Hence, the equation is as follows:
tₙ = 16 + (n - 1)6
tₙ = 16 + 6n - 6
tₙ = 16 - 6 + 6n
tₙ = 10 + 6n
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What is the intermediate step in the form (x+a)^2=b as a result of completing the square
for the following equation? 4x^2+64x+467=15
The intermediate step in the following equation is (4x + 16)² = - 196
What is an Equation ?An Equation is the mathematical statement formed when two algebraic expressions are equated using an equal sign.
The given equation is
4x² +64x+467 = 15
4x² + 2 * 2x *16 + 256 -256 +467 = 15
(4x + 16)² +211 = 15
(4x + 16)² = - 196
Therefore the intermediate step in the following equation is
(4x + 16)² = - 196
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Which of the following is equivalent to
Answer:
The first one
Step-by-step explanation:
[tex]n^{2} - 6n + 9 = (n-3)^{2}\\\\[/tex]
The expression removes the first 9 terms of the summation so the summation goes from 10 to 19
Students are selling T-shirts for a school fundraiser. The table shows the amount they raise from the T-shirt sales.
Shirts Sold 1 2 3 4
Amount Raised (dollars) 4 8 12 16
Complete each statement.
The amount raised ? proportional to the number of shirts sold.
is
is not
Answer:..
Step-by-step explanation: what is is not?
Answer:
1. is
2. amount raised, number of shirts sold
3. dependent, independent
4. 4
5. 4x
Step-by-step explanation:
Here are the results of a survey that students conducted at a mall. the students conducted this survey as part of a statistics project to determine if younger adults are more likely to have tattoos. at least one tattoo no tattoo row totals age 18-19 170 320 490 age 30-50 60 445 505 column totals 230 765 995 we randomly select a person who responded to this survey. which calculation gives the probability that the person has a tattoo
Using it's concept, it is found that there is a 0.2312 = 23.12% probability that the person has a tattoo.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 995 people were surveyed, out of which 230 have tattoos, hence the probability is given by:
p = 230/995 = 0.2312.
0.2312 = 23.12% probability that the person has a tattoo.
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Match the terms to their correct definitions.
1. Adjusted balance
planning for the distribution of one's estate after death
2. ATM Automatic (or Automated) Teller Machine
the annual interest ÷ cost
3. Bond
a share in the ownership of a company
4. Certificates of deposit (CD's)
document that specifies how one desires his estate to be distributed upon his death
5. Checking account
a share of money earned as profits by a company and distributed to its stockholders
6. Club account
a sum on deposit usually for a given period of time at a fixed interest rate
7. Compound interest
accounts are set up to save for specific purchases
8. Debit card
can be used like a credit card, but money is deducted directly from bank account
9. Dividend
a trust established while the owner of the trust is still alive
10. Estate planning
interest figured only on the amount of money in the savings account
11. Interest
interest figured on the amount of money in the savings account plus the amount of interest already earned
12. Intestate
permits the customer to make transactions by using a special computer terminal
13. Investment
an estate, or other property or money, given to a person or institution to manage
14. Living trust
like loaning money to the company for interest
15. Mutual fund
account allows you to write an instruction to the bank, as a check, to make a payment from that account
16. Simple interest
without a will
17. Stocks
a commitment of money in order to gain a financial return
18. Trust
investment instrument in which you purchase a part of a collection of investments
19. Will
balance after adding the outstanding deposits and subtracts the outstanding checks to the balance on the statement
20. Yield
the fee a bank pays you to keep your money
Lets try to figuring out the definition of it.
1. Planning for the distribution of one's estate after death is Estate planning.
2. Trust: an estate, or other property or money, given to a person or institution to manage.
3. Compound interest: figured on the amount of money in the savings account plus the amount of interest already earned.
4. Dividend: a share of money earned as profits by a company and distributed to its stockholders.
5. Checking account: account allows you to write an instruction to the bank, as a check, to make a payment from that account.
6. Will a legal document that describes how your estate should be distributed upon.
8. Purchasing a bond is like loaning money to the company for interest.
9. Club accounts: accounts are set up to save for specific purchases.
11. Mutual fund: instrument in which you purchase a part of a collection of investments.
12. A debit card can be used like a credit card, but money is deducted directly from bank account.
13. Automatic Teller Machine: permits the customer to make transactions by using a special computer terminal.
14. Adjusted balance: balance after adding the outstanding deposits and subtracts the outstanding checks to the balance on the statement.
15. Certificate of deposit (CD) is a sum on deposit usually for a given period of time at a fixed interest rate.
18. A trust created while a person is still alive is called a Living Trust.
19. Intestate: without a will.
20. Interest is the fee a bank pays you to keep your money.
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Answer:
1. Planning for the distribution of one's estate after death is Estate planning.
2. Trust: an estate, or other property or money, given to a person or institution to manage.
3. Compound interest: figured on the amount of money in the savings account plus the amount of interest already earned.
4. Dividend: a share of money earned as profits by a company and distributed to its stockholders.
5. Checking account: account allows you to write an instruction to the bank, as a check, to make a payment from that account.
6. Will a legal document that describes how your estate should be distributed upon.
8. Purchasing a bond is like loaning money to the company for interest.
9. Club accounts: accounts are set up to save for specific purchases.
11. Mutual fund: instrument in which you purchase a part of a collection of investments.
12. A debit card can be used like a credit card, but money is deducted directly from bank account.
13. Automatic Teller Machine: permits the customer to make transactions by using a special computer terminal.
14. Adjusted balance: balance after adding the outstanding deposits and subtracts the outstanding checks to the balance on the statement.
15. Certificate of deposit (CD) is a sum on deposit usually for a given period of time at a fixed interest rate.
18. A trust created while a person is still alive is called a Living Trust.
19. Intestate: without a will.
20. Interest is the fee a bank pays you to keep your money.
Step-by-step explanation:
please help!!!
picture below
Answer:
4^3x=4^(4x+4)
Step-by-step explanation:
You can eliminate the first 2 options since those don’t make sense already, and the last option changed 64 to 2^6 which is correct, but when they changed the other side. They should have multiplied 8 to both x and 1 which would have made the whole term 2^(8x+8) and not 2^(8x+1). Left with the third option, 4 to the power of 3 is 64 so the left side makes sense, 4^3x=64^x, on the right side, 4^4 equals 256, so the whole exponent should multiply by 4 so from 256^(x+1) you get 4^4(x+1) giving 4^(4x+4) making the third choice the right answer.
If f(x) = √2x, then f'(8) =
Answer:
√2
Step-by-step explanation:
Comment
You have differentiated the given equation. When you do that the x becomes 1. F'(x) is going to be √2 no matter what x is.
0.27 recurring as a fraction please
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
assuming the recurring digits are 0.272727.... , then
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.2727.... (1) ← multiply both sides by 100
100x = 27.2727... (2)
subtract (1) from (2) thus eliminating the repeating digits
99x = 27 ( divide both sides by 99 )
x = [tex]\frac{27}{99}[/tex] = [tex]\frac{3}{11}[/tex] ← in simplest form
Answer:
Jimrgrant1 has already answered this correctly, 3/11.
Step-by-step explanation:
I took 1.0 and divided it by 0.272727 to give 3.666666 . . .
I looked for value that would convert this into a whole number when multiplied. 3 times 3.666666 . . . is equal to 11.
That would mean a fraction equal to 0.272727 . . . would be 3/11
Please help me with this
Exponential functions are typically organized in this format:
[tex]f(x) = a*c^x[/tex]
To find the equation given the graph of an exponential function:
Identify the horizontal asymptoteSolving the Question
Identify the horizontal asymptote
In this question, it appears to be x = 0.
Identify the y-intercept
The y-intercept is the value of y at which the graph appears to cross the y-axis. In this graph, it appears to be 100. This is our a value. Plug this into [tex]f(x) = a*c^x[/tex]:
[tex]f(x) = 100*c^x[/tex]
Solve for c
We can use any point that falls on the graph for this step. For instance, (1,50) appears to be a valid point. Plug this into our equation and solve for c:
[tex]f(x) = 100*c^x\\50 = 100*c^1\\50 = 100*c\\\\c=\dfrac{1}{2}[/tex]
Plug c back into our original equation:
[tex]f(x) = 100*(\dfrac{1}{2})^x[/tex]
Answer[tex]f(x) = 100*(\dfrac{1}{2})^x[/tex]
A sector of a circle of radius 14cm containing
an angle 60° is folded to forma cone
Calculate the radius of the base of the circle
}
answer is 2 ⅓
Explanation
Length of arc = circumference of the base of the
cone
is β/360 x 2πR=2πr
make r the subject of formula
r =βR/360
r=60 x 14/360
r=2⅓cm
please mark as brainliest if i am right
Dexter makes 40 cookies.
He eats 16 of the cookies and take the rest to school.
What percentage of the cookies does he take to school?
You are heading to a drive-in movie and will need exact cash at the entrance for everyone in your car to get in. The cost is $6.50 per person. Write an expression that represents the total cash needed for your car based on the number of people, p, in your car.
Answer:
Using the concept of equation of line, we find that the relationship will be
C = $6.5p.
Step-by-step explanation:
If the cost per head is $6.5 and there are p persons entering the car, then the total amount would be $6.5p.
The final equation would resemble the equation of line y = mx + c.
The expression for the total cost C, would be
C = 6.5p.
Here y = C, x = p, m = 6.5 and c = 0.
So, the expression for the total cost will be the equation of line C = 6.5p.
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Pls help i give 25 points
Answer:
[tex]\mathsf {11 \frac{1}{5} }[/tex] tons of concrete
Step-by-step explanation:
Here we need to divide fractions.
Concrete made :
Tons of total sand / Tons used to make a ton of concrete[tex]\mathsf {4\frac{4}{5} \div \frac{3}{7} }[/tex][tex]\mathsf {\frac{24}{5} \div \frac{3}{7} }[/tex][tex]\mathsf {\frac{24}{5} \times \frac{7}{3} }[/tex][tex]\mathsf {\frac{56}{5}}[/tex][tex]\mathsf {11 \frac{1}{5} }[/tex] tons of concretePLEASE HELP !!! which choices are equivalent to square root of -4???
Answer:
-2
Step-by-step explanation:
just a guess but it's right
x2 - x - 42
a=?
b=?
C=?
help me
Step-by-step explanation:
thr standard form for a quadratic equation is:
ax²+bx+c
in this example, a=1, b=(-1), c=(-42)
Which of the following is equivalent to the sum of expressions 2a^2 + 2 and a – 2
A = 2a^2+a
B = a^3-2
C = 2a^2
D = a^2-2
Answer:
A
Step-by-step explanation:
2a² + 2 + a - 2
+2 and -2 cancel
a² and a aren't like terms
final = 2a² + a
NEED HELP ASAP PLS!! Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. With reference to the figure, match the angles and arcs to their measures?
Answer:
1) 122 = Angle DFA
2) 144 = Angle COB
3) 124 = CE
4) 58 = EOB
Step-by-step explanation:
I think this is correct. Correct me if im wrong
Evaluate the function: g(x) = -x +4 Find: g(b-3)
Answer:
g(b-3) = -b + 7
Step-by-step explanation:
Plug in the value (b-3) as x into the equation
g(b-3) = -(b-3) + 4
distribute the negative sign
g(b-3) = -b + 3 + 4
combine like terms
g(b-3) = -b + 7
I think my other question might've been deleted for some reason
We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.
This means you need to draw the segment with endpoints (9,1) and (2,3).
is the number there three? if you answer to me i will give you twenty Points.
Answer:
t = 2
Step-by-step explanation:
Look at the fraction on the left, 1/3.
Notice that the denominator is 3 times the numerator.
Since the fractions are equal, for the second fraction, you also need the denominator to be 3 times the numerator. Since the denominator is 6, the numerator must be 2 since 6 is 3 times 2.
Answer: t = 2
Of course, since you have two fractions that are equal, and fractions are also ratios, you have a proportion.
You can solve the problem as a proportion.
1/3 = t/6
Cross multiply:
3t = 1 × 6
3t = 6
t = 6/3
t = 2
Either way, you get t = 2.
Using a left endpoint riemann sum approximation with four equal subintervals, the approximate value of integral from 0 to 8 g(x) dx is:
Subdividing [0, 8] into 4 equally-spaced subintervals, each one will have length ∆x = (8 - 0)/4 = 2, and the partition is
[0, 2] U [2, 4] U [4, 6] U [6, 8]
We approximate the integral with a left endpoint sum. The left endpoint of the i-th subinterval is
[tex]\ell_i = 2(i-1)[/tex]
where 1 ≤ i ≤ 4.
Then the integral is approximated by
[tex]\displaystyle \int_0^8 g(x) \, dx \approx \sum_{i=1}^4 g(\ell_i) \Delta x \\\\ = 2 (g(0) + g(2) + g(4) + g(6)) \\\\ = 2 (-1 - 3 - 1.25 - 1.5) = \boxed{-13.5}[/tex]
