Answer:
[tex] = { \tt{ \frac{125}{5} }} \\ = { \bf{25 \: frames \: per \: second}}[/tex]
Answer:
B. 25 frames per second
Step-by-step explanation:
To find the rate in frames per second, divide the total frames in 5 seconds by 5. This is because 5/5=1 and that way we're finding the frames per (one) second.
Therefore, we have:
[tex]\frac{125}{5}=\boxed{25\text{ frames per second}}[/tex]
The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is .
Answer:
6
Step-by-step explanation:
4n - 12 < 2n + 2 is for n=6
4×6 -12 < 2×6 +2
24 - 12 < 12 + 2
12 < 14 correct
for n=7
4×7 - 12 < 2×7 + 2
16 < 16 incorrect
for n=8
4×8 - 12 < 2×8 + 2
20 < 18 incorrect
for n=9
4×9 - 12 < 2×9 + 2
24 < 20 incorrect
so, only for n=6 is the expression true.
Answer:
6
Step-by-step explanation:
4n - 12 < 2n + 2 is for n=6
4×6 -12 < 2×6 +2
24 - 12 < 12 + 2
12 < 14 correct
for n=7
4×7 - 12 < 2×7 + 2
16 < 16 incorrect
for n=8
4×8 - 12 < 2×8 + 2
20 < 18 incorrect
for n=9
4×9 - 12 < 2×9 + 2
24 < 20 incorrect
so, only for n=6 is the expression true.Step-by-step explanation:
Danny Metzger's parents invested $1600 when he was born. This money is to be used for Danny's college education and is to be withdrawn in four equal annual payments beginning when Danny is age 19. Find the amount that will be available each year, if money is worth 7%, compounded annually. (Round your answer to the nearest cent.)
Answer:
[tex]\begin{array}{ccl}Year&&End \ of \ year \ balance\\1&&\$4,483.18\\2&& \$3,088.68\\3&&\$1,596.57\\4&&0\end{array}[/tex]
Step-by-step explanation:
The initial amount invested, P = $1,600
Danny's age at which the amount, A, is to be used for his college, t = 19 years
The number of equal annual payments, m, to be withdrawn from the amount = 4
The compound interest on the account, r = 7% = 0.07
Let, A, represent the amount at the year the annual withdrawals starts to be made, we have;
[tex]A = P \times \left(1+\dfrac{r}{n} \right)^{n \times t}[/tex]
n = The number of times the interest is applied annually = 1
Therefore;
[tex]A = 1,600 \times \left(1+\dfrac{0.07}{1} \right)^{1 \times 19} \approx 5,786.444[/tex]
The amount, m, is withdrawn at start of Danny's first year in college to give the amount in the account = A - m
The amount in the account at the end of the first year with compound interest, r = (A - m)×(1 + r)¹ = (A - m)×(1 + r)
At the stat of the second year, the second withdrawal is made to give the starting amount = (A - m)×(1 + r) - m
The amount in the account at the end of the second year = ((A - m)×(1 + r) - m)×(1 + r)
At the start of the third year, the amount in the account = ((A - m)×(1 + r) - m)×(1 + r) - m
At the end of the third year, we have the amount in the account = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r)
At the start of the forth year, the last yearly installment is withdrawn from the account and we have 0 balance in the account.
Therefore, on the fourth year, we have the amount in the account = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r) - m = 0
(A - m)×(1 + r)³ - m×(1 + r)² - m × (1 + r) - m = 0
A×(1 + r)³ - m×(1 + r)³ - m×(1 + r)² - m × (1 + r) - m = 0
A×(1 + r)³ = m×(1 + r)³ + m×(1 + r)² + m×(1 + r) + m = m × ((1 + r)³ + (1 + r)² + (1 + r) + 1)
A×(1 + r)³ = m × ((1 + r)³ + (1 + r)² + (1 + r) + 1)
m = A×(1 + r)³/((1 + r)³ + (1 + r)² + (1 + r) + 1)
∴ m = 5,786.444×(1 + 0.07)³/((1 + 0.07)³ + (1 + 0.07)² + (1 + 0.07) + 1) ≈ 1,596.56
The amount withdrawn annually, m ≈ $1,596.56
The amount in the account at the end of the each year is given as follows;
First year = (A - m)×(1 + r) = (5,786.444 - 1,596.56)×(1 + 0.07) ≈ 4,483.17588
Second year = ((A - m)×(1 + r) - m)×(1 + r) = ((5,786.444 - 1,596.56)×(1 + 0.07) - 1,596.56)×(1 + 0.07) = 3,088.68
Third year = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r) = (((5,786.444 - 1,596.56)×(1 + 0.07) - 1,596.56)×(1 + 0.07) - 1,596.56) × (1 + 0.07) = 1,596.57
At the end of the first year, we have $4,483.17588
At the end of the second year, we have $3,088.68
At the end of the third year, we have $1,596.57
At the end of the fourth year, we have 0
Please help me ASAP I’m stuck on these questions
Answer:
4, yes through the middle 5, yes through the middle 6, yes through the middle all of them reflect from the center
Step-by-step explanation:
Rewrite the expression in the form y^n. y^9/y^2=
Answer:
y^7
Step-by-step explanation:
We know that a^b / a^c = a^( b-c)
y^9/y^2
y^(9-2)
y^7
Answer:
Step-by-step explanation:
The rule for division when the bases are like is to subtract the exponents:
[tex]\frac{y^9}{y^2}=y^{9-2}=y^7[/tex]
8 lb. 9 oz.
X 15 _______
Step-by-step explanation:
where is the steps to this question you can't answer it without a question too it SMH
A music shop sold 25 50$ radios at a profit of 8% and 6 30$ radios at a loss of 15% how much was the profit or loss combined
Answer:
The profit or loss combined is $2.99
Step-by-step explanation:
Given;
cost price of first radio, CP = $25.50
profit percent, = 8%
The profit made is calculated as;
[tex]\frac{Profit}{CP} \times 100\% = \frac{SP-CP}{CP} \times 100\% = 8\%\\\\Profit = SP-CP = 0.08CP = 0.08\times \$25.50 = \$ 2.04[/tex]
Cost price of the second radio, CP = $6.30
loss percent = 15%
The loss incurred is calculated as;
[tex]\frac{Loss}{CP} \times 100\% = 15\%\\\\Loss = 0.15CP\\\\Loss = 0.15 \times \$6.30 = \$0.95[/tex]
The profit or loss combined = $2.04 + $0.95
= $2.99
in a survey of Swami student it was found that 60% of student studies in math and 40% study science if 40% students study both the subject and 10% did not any of the subject by drawing of exam find the ratio of the number of students who is the distance to the total number of students
Answer:
Step-by-step explanation:
150% = 150 ÷ 100 150% = 1.5
What is the measure of n
Answer:
Step-by-step explanation:
This is a geometric means problem. Namely, n is the geometric mean between the 2 smaller triangles within that larger one. Set up the problem accordingly:
[tex]\frac{28}{n}=\frac{n}{7}[/tex] and cross multiply:
[tex]n^2=196[/tex] so
n = 14
Find the volume of a cone with a
radius of 10 and a height of 7. Use 3.14 for n and
round the answer to the nearest whole number.
Answer:
Step-by-step explanation:
Volume of a cone formula is
[tex]V=\frac{1}{3}\pi r^2h[/tex] where r is radius and h is height. Filling in:
[tex]V=\frac{1}{3}(3.14)(10)^2(7)[/tex] and doing all the math on that and rounding gives us
V = 733 units cubed
f The difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 37 vedanta Excel in Mathematics
Answer:
15
Step-by-step explanation:
first find f which is (8-3) × ( 1/4 × 7 + 5)
simplify
5 × (1/4 ×12)
5 × 3
15 is thw answer
Will give brainliest need quick answers
Answer:
u=1
v = 10
Step-by-step explanation:
For the triangles to be congruent
IG = PR
50 = u+49
50 - 49 = u
1 = u
GH = RQ
v+6 = 16
v = 16-6
v = 10
Emma earns a $39,000 salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in the first 11 years of her career?
Answer:
554,000
Step-by-step explanation:
that is the answer
Emma earns $554,064.80 in total in the first 11 years of her career
We are to determine the future value of $39,000 each year for 11 years given the growth rate of 5%
The formula for calculating future value:
FV = P (1 + r)^n
Where :
FV = Future value
P = Present value
R = interest rate
N = number of years
First year = $39,000
Second year = 39,000 x (1.05) = $40,950
Third year = 39,000 x (1.05)^2 = $42,997.50
Fourth year = 39,000 x (1.05)^3 = $45,147.38
Fifth year = 39,000 x (1.05)^4 = $47,404.75
Sixth year = 39,000 x (1.05)^5 = $49,774.99
seventh year = 39,000 x (1.05)^6 = $52,263.74
eighth year = 39,000 x (1.05)^7 = $54,876.93
ninth year = 39,000 x (1.05)^8 = $57,620.78
tenth year = 39,000 x (1.05)^9 = $60,501.82
eleventh year = 39,000 x (1.05)^10 = $63,526.91
Sum of the earnings for the first eleven years = $554,064.80
To learn more about the future value of income, please check : https://brainly.com/question/19407218?referrer=searchResults
Write the following surds in exponential form square root of 2
Answer:
[tex] {2}^{1 \div 2[/tex]
Find the
Prove that sin theta tan theta= (1 + sec theta)(1 - cos theta)
Answer:
Step-by-step explanation:
RHS = (1 +Sec Ф)(1 - Cos Ф)
= 1*1 - 1*Cos Ф + Sec Ф *1 - Sec Ф *Cos Ф
= 1 - Cos Ф + Sec Ф - 1 {Sec Ф = [tex]\frac{1}{Cos \ theta}[/tex] )
=Sec Ф - Cos Ф
= [tex]\frac{1}{Cos \ theta}[/tex] - Cos Ф
[tex]= \frac{1}{Cos \ theta}-\frac{Cos \ theta*Cos \ theta}{Cos \ theta}\\\\= \frac{1-Cos^{2} \ theta}{Cos \ theta}\\\\= \frac{Sin^{2} \ theta}{Cos \ theta}\\\\=\frac{Sin \ theta*Sin \ theta}{Cos \ theta}\\\\= Sin \ theta*\frac{Sin \ theta}{Cos \ theta}[/tex]
= Sin Ф* tan Ф = LHS
A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?
A) 1/9
B) 1/8
C) 1/27
D) 8/27
Answer:
1/27
Step-by-step explanation:
The outcomes when rolling a die are 1,2,3,4,5,6
getting less than 3 = 1,2
P( less than 3) = outcomes of less than 3 / total
= 2/6 = 1/3
Since the events are independent we can multiply the probabilities
P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax – 2 = 12.5
Answer:
x = 14.5/a
Step-by-step explanation:
ax – 2 = 12.5
Add 2 to each side
ax – 2+2 = 12.5+2
ax = 14.5
Divide by a
ax/a = 14.5/a
x = 14.5/a
which equation represent this relation
Answer:
hello,
answer A c=n+2
Step-by-step explanation:
if n=0 then c=2
if n=2 then c=4
slope=m=(4-2)/(2-0) =2/2=1
c-2=1*(n-0)
c=n+2
Select two choices that are true about the function f(x)=23x+14/x
Answer:
There is an asymptote at x = 0
There is an asymptote at y = 23
Step-by-step explanation:
Given the function:
(23x+14)/x
Vertical asymptote is gotten by equating the denominator to zero
Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0
Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator
Coefficient of x at the numerator = 23
Coefficient of x at the denominator = 1
Ratio = 23/1 = 23
This means that there is an asymptote at y = 23
can i please get some help on this one ASAP!
Answer:
This is a 4th degree polynomial!
Step-by-step explanation:
Because the polynomial starts of the a number with a 4th degree and decreases down with lower numbers. Simply put, because (x^4) has the largest degree.
Hope this helps, good luck! :)
Find Tan(ß) in the triangle
Answer:
the answer is
tan (B)=p/b
=5/12
Answer: C)5/12
Step-by-step explanation:
The tangent is equal to the ratio of the opposite cathet to the adjacent one.Then [tex]\bf tg \beta = \dfrac{5}{12}[/tex]5sinA=4, find the value of tanA.
Answer: tan A=4/3
Step-by-step explanation:
Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5
Áp dụng định lí py ta go ta đc:
5^2=4^2+x^2
=) x=3
Vậy cạnh kề của góc A=3
Mà tanA = cạnh đối/cạnh kề
Vậy giá trị của tanA=4/3
(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)
Darryl has written 60 percent, or 12 pages, of his history report. Darryl wants to figure out how many total pages he needs to write. Darryl’s work is shown below.
Step 1: Write 60 percent as a ratio. StartFraction part Over whole EndFraction = StartFraction 60 Over 100 EndFraction
Answer:
total pages = 20
Step-by-step explanation:
60% of an unknown number is 12
Let the unknown number (total pages) be x.
60/100 of x = 12
60/100 * x = 12
3/5 x = 12
x = 12 * 5/3
x = 20
Solve the system of equations below by graphing both equations with a pencil
and paper. What is the solution?
y = x+1
y=-3x+4
Answer:
Option (C)
Step-by-step explanation:
System of the equations have been given as,
[tex]y=x+1[/tex] --------(1)
[tex]y=-\frac{1}{2}x+4[/tex] -------(2)
Substitute the value of y from equation (1) to equation (2),
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+\frac{1}{2}x=4-1[/tex]
[tex]\frac{3}{2}x=3[/tex]
[tex]x=2[/tex]
Substitute the value of 'x' in equation (1),
[tex]y=2+1[/tex]
[tex]y=3[/tex]
By using a graphing utility, graph of the equations that will intersect each other at a point (2, 3).
Therefore, solution of the system of equations will be [tex](2,3)[/tex].
Option (C) will be the answer.
Answer:
(2,3) C
Step-by-step explanation:
Solve using y = mx + b and graph!
Drag the tiles to the correct boxes to complete the pairs.
Match the graphs with the functions they represent.
Answer:
Step-by-step explanation:
Equation of a parabola with vertex (h, k) is given by,
y - k = a(x - h)²
Equation of a function 'f' with vertex (0, 3) will be,
y - 3 = a(x - 0)²
y - 3 = ax²
Since, graph of this function passes through (1, 4),
4 - 3 = a(1)²
a = 1
Therefore, equation will be,
y - 3 = (x - 0)²
f(x) = x² + 3
Equation of function 'g' with vertex at (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph passes through (1, -1),
-1 = a(1)² - 3
a = 2
Therefore, equation will be,
y = 2x²- 3
g(x) = 2x² - 3
Equation of the function 'j' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax²- 3
Since, the graph of the function passes through (1, -5),
-5 = a(1)² - 3
a = -2
Therefore, function 'j' will be,
j(x) = -2x² - 3
Equation of the function 'h' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph of the function passes through (2, 1)
1 + 3 = a(2)²
4 = 4a
a = 1
Therefore, equation of the function 'h' will be,
h(x) = x² - 3
A basketball team won 8 games and lost 7 games. Based on these results what is the probability of winning a game
the probability is made of the desired outcome divided by the total outcome.
desired = wins = 8
total = wins and losses = 15
8/15 is the probability (approx. 53%)
hope it helps :)
SEE IMAGE FOR QUESTION
Answer:
17The range is the difference of the greatest and smallest numbers:
5 - (-5) = 1018Semi-interquartile of the range is:
(Q3 - Q1)/2 = 12Since Q1 = 15, find Q3:
Q3 - 15 = 2*12Q3 = 24 + 15 = 39Note. Probably the numbers mixed up in the question.
If we swap them:
Q3 = 2*15 + 12 = 42 would be the correct answer. 19Given data:
3, 5, 7, 9, 11The mean:
(3 + 5 + 7 + 9 + 11)/5 = 7Variance, the average of the squared differences from the mean:
[(3 - 7)² + (5 - 7)² + (7 - 7)² + (9 - 7)² + (11 - 7)²]/5 = 8ASAP!! can i get some help on this question please, and can i get a step by step explanation, thank you.
Answer:
2xy^2
Step-by-step explanation:
8/4=2
x^3/x^2=x
y^5/y^3=y^2
Answer:
2xy^2
Step-by-step explanation:
First, 8/4 is 2.
2x^3y^5 / 4x^2y^3
Then, we can bring the x^2 up. It becomes the -x^2. Combined with the x^3, we have x. Finally, we can bring the y^3 up, where it becomes -y^3. Combined with the y^5, we get y^2.
Our final answer is 2xy^2.
Find the value of b.
A. 57
B. 123
C. 50
D. 61.5
Answer:
please i need educere answers
Step-by-step explanation:
i have one day left and i cannot finish please reply with any way to contact you
1. PLEASE HELP ME
Find the value of x. If necessary, round to the nearest tenth.
A. 8.8 in.
B. 10.4 in.
C. 5.2 in.
D. 7.3 in.
Answer:
C. 5.2 in.
Step-by-step explanation:
HELP MEE
What is the LCM of 9 and 12?
24
36
3
12
Answer:
It is 36
Step-by-step explanation:
Hopefully this help
Have a good day bye
