Answer:
It's D or 1/7^2
[tex]\frac{1}{7^{2} }[/tex]
Step-by-step explanation:
They both equal 1/49
help me on this please
Answer:
14.387
Step-by-step explanation:
HELP ASAP PLZ
How many permutations of a 7-digit phone number exist if any number 0-9 may be used but repetition is not allowed?
Answer:
There are 604,800 possible permutations.
Step-by-step explanation:
The order in which the digits are chosen is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
7 digits from a set of 10(10 digits to 0-9). So
[tex]P_{(10,7)} = \frac{10!}{(10-7)!} = 604800[/tex]
There are 604,800 possible permutations.
Answer:
10!/3!
Step-by-step explanation:
i just took a test and got it right
Because repetition is not allowed, and there are 10 initial options for the 7 decisions that need to be made, we use the formula
n!/(n-r)! = 10!/(10-7)! = 10!/3!
The sum of two numbers is 2. Their difference is -16. What is the first number?
Answer:
the number are 9 and -7
Step-by-step explanation:
9 + -7 = 2
9 - (-7) = -16
What is the answer to this bonus question? And I need a step by step explanation please
Answer:
Q = 9.1º
Step-by-step explanation:
Law of Cosines
c² = a² + b² - 2ab * cosC
1.3² = 7² + 7.6² - 2(7)7.6 * cosQ
1.69 = 106.76 - 106.4 * cosQ
Subtract 106.76 from both sides
-105.07 = -106.4 * cosQ
Divide both sides by -106.4
0.9875 = cosQ
Q = arccos0.9875
Q = 9.068721546032704
Rounded
C = 9.1º
ANSWER FAST PLEASE 20 POINTS !!!
Where will this shape be after a reflection in the line y = x?
Answer:
is easy just reflected y-intercept to x-intercept
Multiply (3x - 2)(4x - 7).
7x² - 13x+5
B)
7x2 - 29x + 14
C)
12x2 - 13x + 14
D)
12x2 - 29x + 14
Answer:
D
Step-by-step explanation:
...............
.
....
Step-by-step explanation:
[tex] \tt \mapsto \:(3x - 2)(4x - 7) \\ \tt \mapsto \:3x(4x - 7) - 2(4x - 7) \\ \tt \mapsto \: {12x}^{2} - 21x - 8x + 14 \\ \tt \mapsto \: {12x}^{2} - 29x + 14[/tex]
Option D is correct
You find a mutual fund that offers approximately 6% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $711.32
O B. $994.60
O c. $912.86
O D. $972.84
$972.84 is invested in total after 1 year.
Correct option is (D)
What is compound interest?Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.
As per the given data:
Compounding frequency (n) = 12
Final value (FV) = $1000
Time period (t) = 12 months = 1 year
[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]
FV – Future worth of the investment is the final balance in our calculation.
P – Initial balance (the value of the investment);
r – Annual interest rate (in decimal);
n – Number of times the interest is compounded per year (compounding frequency); and
t – Numbers of years the money is invested for.
Substituting the given values
[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]
[tex]P = \$ 972.84[/tex]
Hence, $972.84 is invested in total after 1 year.
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Determine whether the distribution below represents a probability distribution.
x
P(x)
3
-.3
6
.5
9
.1
12
.3
15
.4
Answer:
No, not a probability distribution.
Step-by-step explanation:
It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary school when the population reaches 100,000. If there are currently 76,000 people living in the town, how long do they have before the new school will be needed?
Answer:
The correct solution is "4.6".
Step-by-step explanation:
Given:
Interest rate,
r = 6.2%
or,
= 0.062
Amount,
A = 100000
Principle,
P = 76000
As we know,
⇒ [tex]A=P(1+\frac{r}{100} )^n[/tex]
On substituting the values, we get
⇒ [tex]100000=76000(1+\frac{6.2}{100} )^n[/tex]
⇒ [tex](1+0.062)^n=\frac{100}{76}[/tex]
On taking log both sides, we get
⇒ [tex]n \ log_e(1.062)=log_e(\frac{100}{76} )[/tex]
⇒ [tex]n=\frac{ln(\frac{100}{76} )}{ln(1.062)}[/tex]
By putting the values of log, we get
⇒ [tex]=4.5622[/tex]
or,
⇒ [tex]=4.6[/tex]
3.04 divided by 0.04
Answer:
76
Step-by-step explanation:
3.04/ 0.04=76
1)Lesley's fruit salad contains 40% grapes. Circle the figure that represents 40%.
the last one
Step-by-step explanation:
it is 40/100
Which equation is not equivalent
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12
i will give cookie if u do this for me
Answer:
PPP Loan
Step-by-step explanation:
Answer:
bottom right
Step-by-step explanation:
Answer this question pls!! (Will give Brainliest)
Answer:
22
Step-by-step explanation:
C=2πr
[tex]C=2*3\frac{1}{2} *\frac{22}{7} =2*\frac{7}{2} *\frac{22}{7} =22[/tex]
In AKLM, k = 7.7 cm, m = 5.8 cm and ZM=139°. Find all possible values of ZK, to the
nearest 1oth of a degree.
Answer:
no possible triangles
Step-by-step explanation:
just turn it in blank on delta
4. The mode of the following data set is 15, 16, 17, 23. 11, 19, 20, 15, 18, 22. 15, 19
Answer:
Step-by-step explanation:
the mode of the given data is 15 because it repeats highest number of times.
-5X-3Y=-7 FIND 3 POINTS THAT SOLVE THE EQUATION
Answer:
(0, 7/3), (1, 2/3), (2, -1).
Step-by-step explanation:
Input 3 x coordinates into the equation and find the y. 0, 1, and 2 will do.
-5x - 3y = -7
Substitute variable.
-5(0) - 3y = -7
Remove the term multiplied by 0.
-3y = -7
Divide by -3.
y = -7/-3
-a/-b = a/b.
y = 7/3
This makes the coordinate (0, 7/3)
-5x - 3y = -7
Substitute variable.
-5(1) - 3y = -7
Multiply.
-5 - 3y = -7
Add 5 to both sides.
-3y = -2
Divide by -3.
y = -2/-3
-a/-b = a/b.
y = 2/3.
This makes the coordinate (1, 2/3)
-5x - 3y = -7
Substitute variable.
-5(2) - 3y = -7
Multiply.
-10 - 3y = -7
Add 10 to both sides.
-3y = 3
Divide by -3.
y = 3/-3
-a/a = -1.
y = -1.
This makes the coordinate (2, -1).
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have? First complete the equations below, where N stands for nickels and D stands for dimes. [?]N + [ ]D = 1.65; N + D
Answer:
Step-by-step explanation:
Let n represent nickels & d dimes
given: n + d = 25 #1 (number of coins)
given: .05n + .10d = 1.65 #2 (amount in dollars)
n = 25 - d #3 (rewrite of #1)
.05(25 -d) + .10d = 1.65 (substitute #3 in #2)
1.25 - .05d + .10d = 1.65 (multiply out the left side)
.05d = .40 (collection of like terms)
d = 8 (divided both sides by.05)
n + 8 = 25 (substitute answer for d in #1)
n = 17 (subtract both sides by 8)
There are 8 dimes and 17 nickels.
Check:
17(.05) + 8(.10) = 1.65 (answers in #2)
.85 + .80 = 1.65 (multiply out the left side)
1.65 = 1.65 ✔️ QED
Answer: There are 8 dimes and 17 nickels.
Step-by-step explanation: 0.05N+.10D=1.65; N+D=25
Compute 3 1/3 devided by 20 which is the quotient in the simplest form?
9514 1404 393
Answer:
1/6
Step-by-step explanation:
(3 1/3)/20 = (10/3)×(1/20) = 10/60 = 1/6
Each week Thomas will double the amount of money in his bank. What type of function is represented by this situation
Answer:
An exponential growth.
Step-by-step explanation:
We know that each week, Thomas will double the amount of money in his bank.
Let's assume that in week 0, he has an amount A of money in his bank.
After one week, in week number 1 (w = 1), the amount of money is doubled, so if we define the function M(w) as the amount of money as a function of the number of weeks, we will have:
M(1) = 2*A
After another week, in w = 2, the amount of money is doubled again, so here we have:
M(2) = 2*(M(1)) = 2*(2*A) = A*2^2
After another week, at w = 3, the amount of money is doubled again:
M(3) = 2*(M(2)) = 2*(A*2^2) = A*2^3
We already can see the pattern here, we can expect that for the week w, the amount of money in the account is given by:
M(w) = A*2^w
This is an exponential equation (an exponential growth to be more specific), so the type of function that is represented by this situation is an exponential growth.
What is the total number of outcomes for choosing a numbered card from 1 to 10 and a number on a
number cube labeled one to six?
the total number of out comes would be 16^2 or 256.
some extra things...
A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.
a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.
if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.
HELP PLEASE PLEASE PLEASE
Answer:
If you beg for help like that you won't get any.
Step-by-step explanation:
Q 36: The side of square ABCD measures n cm. We know that n is a natural number and that the area of quadrilateral AECF is 66 cm2. Of all the rectangles that have an area of 2n2, how many have a perimeter greater than 100 cm?
Answer:
Step-by-step explanation:
45 cm + 30 cm x 2 = AREA
WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. over the course of 4 months,their combined bill is 1,520. write the system of equations that describes this situation and solve it to find the montly payments for anita and casey.
Answer:
1520/4=380 per month
Step-by-step explanation:
The monthly payments for Anita and Casey are 230 and 150.
What is equation?"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."
Assume
Monthly payments for Anita = x
Monthly payments for Casey = y
We have
Anita pays 80 more than Casey does each month.
We can write the equation
x = y + 80
x - y = 80 ...........................(1)
Over the course of 4 months, their combined bill is 1,520.
We can write the equation
4x + 4y = 1520...................(2)
Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)
⇒4x + 4y = 1520
⇒4(y + 80) + 4y = 1520
⇒4y + 320 + 4y = 1520
⇒8y = 1520-320
⇒8y = 1200
⇒y = [tex]\frac{1200}{8}[/tex]
⇒y = 150
Substitute y = 150 in equation (1)
⇒x - y = 80
⇒x - 150 = 80
⇒x = 80+150
⇒x = 230
Hence, the monthly payments for Anita and Casey are 230 and 150.
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Write each percent as a common fraction
16 2/3
9514 1404 393
Answer:
1/6
Step-by-step explanation:
16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6
term of the sequence 8, 16, 32,
Answer:
8,16,32,64
Step-by-step explanation:
8 to 16 +8
16 to 32 +16
32 to 64 +32
Answer:
8,16,32,64,128,256...
Step-by-step explanation:
the sequence is multiplied by 2
for example; 8*2= 16
16*2=32
Using the gross profit method, find the estimated cost of goods sold for the following data and
net sales value of $600.00 to estimate inventory if gross profit on sales is 30 percent.
• January 1 inventory: 320 serving trays purchased at $1.50 per unit cost
• April 1 inventory: 300 serving trays purchased at $1.10 per unit cost
• July 1 inventory: 100 serving trays purchased at $2.00 per unit cost
O $1,010.00
O $420.00
O $200.00
O $330.00
Answer:
$420.00
Step-by-step explanation:
Find the value of x.
Answer:
[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]
A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs $99, will the coach need to spend more than $1,000 for the bleachers? How can you decide without using division? and links are included to but if it is to cheat i am reporting them
Answer:
No need to spend more than $ 1,000
Step-by-step explanation:
assume the coach needs 10 set
10 set will cover 10×56 = 560 people that more than 453.
so,
the cost is only 10× $99 = $ 990
that less than $ 1,000
Answer:
Fewer than 10 sets of bleachers are needed. This is because 5610 560, which is greater than 453. The cost of 10 sets of bleachers would be $9910 $ 990, which is less than $1,000. The coach will not need to spend more than $1,000 for the bleachers.
-picture linked-
ILL MARK BRAINLIEST
PLEASE HELP ME ASAP
Answer:
a
Step-by-step explanation: