Answer: The answer would be 3.91666666667
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{4 \dfrac{2}{3} - \dfrac{3}{4}}[/tex]
[tex]\mathsf{= \dfrac{4\times3+2}{3} - \dfrac{3}{4}}[/tex]
[tex]\mathsf{= \dfrac{12 + 2}{3} - \dfrac{3}{4}}[/tex]
[tex]\mathsf{= \dfrac{14}{3} - \dfrac{3}{4}}[/tex]
[tex]\mathsf{= \dfrac{56}{11} - \dfrac{9}{12}}[/tex]
[tex]\mathsf{= \dfrac{14\times4}{12 - 0}}[/tex]
[tex]\mathsf{= \dfrac{56 - 9}{12}}[/tex]
[tex]\mathsf{= \dfrac{47}{12}}[/tex]
[tex]\mathsf{= 3 \dfrac{11}{12}}[/tex]
[tex]\huge\textsf{Therefore, your answer should be: }\huge\boxed{\\\mathsf{\dfrac{47}{12} \ or\ 3 \dfrac{11}{12}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
Write a recursive formula for An, the nth term of the sequence 80, -20,5, ....
Answer:
a[1] = 80; a[n] = -a[n-1]/4
Step-by-step explanation:
The given sequence has a first term of 80 and a common ratio of -20/80 = -1/4. That is, each term is -1/4 times the previous one. The recursive formula is ...
[tex]A_1=80\\A_{n}=-\dfrac{1}{4}\times A_{n-1}[/tex]
A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.073t,
where
m(t)
is measured in grams. After how many days is there only 5 g remaining?
15 days
Step-by-step explanation:
The half-life equation is given as
[tex]m(t) = m(0)e^{-0.073t}[/tex] (1)
where m(0) is the initial mass of radioactive iodine at t = 0. To solve for the time t, let's put the exponential part on the left-hand side:
[tex]e^{-0.073t} = \dfrac{m(t)}{m(0)}[/tex]
Taking the natural logarithm of both sides to get
[tex]\ln{e^{-0.073t}} = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex] (2)
Recall the following properties of logarithms:
[tex]\ln{A}^b = b\ln{A}[/tex]
[tex]\ln{e} = 1[/tex]
We can rewrite Eqn(2) as
[tex]-0.073t = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex]
Solving for t, we get
[tex]t = -\dfrac{1}{0.073}\ln\left[\dfrac{m(t)}{m(0)}\right][/tex]
Since m(0) = 15 gm and m(t) = 5 gm, then the amount of time that elapses to reduce the mass down to 5 gm is
[tex]t = -\dfrac{1}{0.073}\ln\left(\dfrac{5\:\text{g}}{15\:\text{g}}\right)[/tex]
[tex]\:\:\:\:\:= 15\:\text{days}[/tex]
Evaluate these expressions if x = 8. Substitute the number for the variable and solve. Follow the order of operations. 7 + x, 12 - x, x + 3, 32/x
Answer:
15, 4, 11, 4
Step-by-step explanation:
x=8
so 7+x, 7+8= 15
12-8 = 4
x+3 , 8+3=11
32/8 = 4
The second of three numbers is 5 times the first. The third number is 3 more than the second. If the second is decreased by twice the third, the result is -21. Find the Three numbers
Answer:
tag archives and records and counting the days
Answer:
1st number is 6
2nd number is 30
3rd number is 33
Step-by-step explanation:
Let x be the first number.
The second of three numbers is 5 times the first = 5x
The third number is 3 more than the second = 5x + 3
If the second is decreased by twice the third, the result is -21.
Multiply the third number by 2.
2(5x + 3)
= 10x + 6
Subtract the second number to it.
(5x)-(10x + 6) = -21
-5x - 6 = -21
Use APE or Addition Property of Equality
-5x = -21 + 6
-5x = -15
Use DPE or Division Property of Equality to get the value of x
[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]
x = 3
Now put the value of x in the equation
first number(x) = 6
second number(5x) = 5(6) = 30
third number(5x + 3)
5(6) + 3
30 + 3 = 33
In Diagram 6, JCK is a tangent to the circle ABC
Find the value of x.
A 1149 B 76° C 52° D 26°
Answer:
C
Step-by-step explanation:
if you don't know it choose C
The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12
GIVING BRAINLIST TO FIRST RIGHT ANSWER NO BOTS
Andre ran a 100 meter race in 12 seconds. What was his average speed as he ran?
his average speed as he ran: V = S/t = 100/12 = 25/3 (m/s)
ok done. Thank to me :>
Speed is the time rate at which an object is moving along a path. 25/3 is the average speed as he ran
What is Speed?Speed is the time rate at which an object is moving along a path.
Speed =Distance/Time
His average speed as he ran:
V = S/t
Hundred by twelve.
= 100/12
Divide numerator and denominator by four.
Twenty five by three.
Average speed= 25/3 (m/s)
Hence if Andre ran a 100 meter race in 12 seconds. 25/3 is the average speed as he ran
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PLZ HURRY IT'S URGENT!!!!
Find the area of the circle to the nearest hundredth. (Use 3.14 for π)
options:
452.16 cm2
37.68 cm2
113.04 cm2
18.84 cm2
Answer:
113.04 cm^2
Step-by-step explanation:
To find the area, you do radius squared, multiplied by [tex]\pi[/tex]
Radius is half of the diameter. 12/2 is 6
6^2×3.14=113.1
Which equation repersentes a
linear function?
Answer:
The formula y = mx + b is said to be a linear function
Step-by-step explanation:
Answer:
D. is a linear function
Step-by-step explanation:
A. rational function
B. quadratic function
C. cube root function
In BCD, BC = DB and mB = 139º. Find mD.
Which expression represents Sushmila's total cost for the supplies 3p-5+2s
3p+2(s-5)
3(p-5+2s)
3(p-5)+2s
Answer: its a
Step-by-step explanation: its the same answer
Answer: the answer is 3(p - 5) + 2s
Step-by-step explanation:
its the only answer there that makes since and hope this helps im kinda bad at algebra but this was easy
Please Help Me With this question.
Answer:
Y=76x
Step-by-step explanation:
if you divide 3 and 228 it is 76. if you divide 5 and 380 it is 76.if you divide 532 and 7 it is 76. and if you divide 11 and 836 it is 76.
Answer:
Step-by-step explanation:
The trick is to get rid of b in y = mx + b. The way to do that is to take 2 values and subtract them
(380 - 228) / (5 - 3) = 152/2 = 76
Not all problems work out this nicely.
The answer is
y = 76x
In this case you can be a little more direct. m = 380 ÷ 5 = 76, but not all equations are this well behaved and doing it the long way is the best way.
Please help asap! Solve for x and y
Answer:
Step-by-step explanation:
You are working with a square. All 4 sides are equal
2x+ 1 = 4x - 7 Subtract 2x from both sides
1 = 4x - 2x - 7 Combine
1 = 2x - 7 Add 7 to both sides
1 + 7 = 2x Combine
2x = 8 Divide by 2
2x/2 =8/2
x = 4
The diagonals of a square bisect the 90 degree angle.
7y + 3 = 45 Subtract 3 from both sides
7y = 45 - 3 Combine
7y = 42 Divide by 7
y = 42/7
y = 6
is 2k(2k-4) odd or even?
Answer: Even
Step-by-step explanation:
Because it shows that the is 2k
the even numbers 2k+2,2k+4,...,4k,4k+2
Can you help me with this ?:)
With explanation step-step Thanks
Part A
The given angle is 4pi/3. Multiply it by the factor 180/pi to convert from radians to degree mode.
Note how the given angle has pi in the numerator, while the conversion factor has pi in the denominator. The two pi terms will cancel.
(4pi/3)*(180/pi)
(4/3)*(180/1)
(4*180)/(3*1)
720/3
240
The angle 4pi/3 radians is equivalent to 240 degrees. This 240 degree angle is in quadrant 3. Any angle in this quadrant is between 180 degrees and 270 degrees, excluding both endpoints. This is the bottom left quadrant, aka the southwest quadrant.
Answer: Quadrant 3===========================================================
Part B
To find the reference angle, we'll subtract off pi. This only works for angles in quadrant 3. This is because the first pi radians, aka 180 degrees, is taken up by the first two upper quadrants. The remaining bit in the third quadrant is all we care about to find the reference angle.
reference angle = (given angle in quadrant 3) - pi
reference angle = (4pi/3) - pi
reference angle = (4pi/3) - (3pi/3)
reference angle = (4pi - 3pi)/3
reference angle = pi/3
Answer: pi/3 radians===========================================================
Part C
Use a calculator or a reference table to find that
tan(4pi/3) = tan(pi/3) = sqrt(3)
Alternatively, you can compute the sine and cosine values first
sin(pi/3) = sqrt(3)/2cos(pi/3) = 1/2Dividing the two items in the order mentioned will get us the tangent value
tan = sin/cos
tan(pi/3) = sin(pi/3) divide cos(pi/3)
tan(pi/3) = sqrt(3)/2 divide 1/2
tan(pi/3) = sqrt(3)
In the jump from the second to last step, to the last step, the denominators '2' cancel out when dividing.
Answer: sqrt(3)Samantha is training to be a paramedic.
She works in the emergency room
of a hospital as part of the training
requirements. So far, she has completed
619 hours. If Samantha worked a total of
58 days so far, about how many hours
did she work each day?
8.5x-y= 16
O -y= 5x + 16
O x=5y-16
O y= 5x +16
O y= 5x- 16
Answer:
y = 5x - 16
Step-by-step explanation:
1. To solve this question, we must convert 5x - y = 16 into slope-intercept form (y = mx + b).
2. (Solving for y)
Step 1: Subtract 5x from both sides.
[tex]5x - y - 5x = 16 - 5x[/tex] [tex]-y = -5x +16[/tex]Step 2: Divide both sides by -1.
[tex]\frac{-y}{-1} =\frac{-5x+16}{-1}[/tex] [tex]y = 5x - 16[/tex]Therefore, the answer is y = 5x - 16.
can someone plz help with this FAST
I WILL MARK BRAINIEST
Answer:
A. 1.56
Step-by-step explanation:
[0(3) + 1(9) + 2(10) + 3(2) + 4(1)] / [3 + 9 + 10 + 2 + 1]
Why do you have a premium? That's :(
Answer:
i dont have a premium
Step-by-step explanation:
Answer:
Step-by-step explanation:
Fill in the blank to make each equality true. _ divided by (1/2x^3)=16x^6y^4.
PLS HELP!
Answer:
(8x^9 x y^4) : (1/2x^3)=16x^6y^4
Step-by-step explanation:
8 : 1/2 = 16
x^9 : x^3 = x^6
Equation - [tex]8x^3y^4[/tex] divided by (1/2x^3)=16x^6y^4.
What is equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign. A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The meanings of the word equation as well as its cognates in other languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions.
Let the required term be z.
[tex]z/ (1/2x^3)=16x^6y^4[/tex]
[tex]z=(16x^6y^4) }{(1/2x^3)}[/tex]
[tex]z = 8x^3y^4[/tex]
Hence, [tex]8x^3y^4[/tex]
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13. For a weekly car rental, a car-rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles.
16
Create a table of m and A values using the equation from part a for 150, 200, and
250 miles.
Answer:
a) y = 0.10(16) + 100
y = $ 101.60
b) y = 0.10(150) + 100
y = $115
c) y = 0.10(200) + 100
y = $120
d) y = 0.10(250) + 100
y = $125
Step-by-step explanation:
Find the value of x. Show all work.
(9x+9)°
45
5x
What is 18/100 written as a decimal?
[tex]0.18[/tex]
is the decimal point
whats the answer can someone answer please
Answer:
both are c
Step-by-step explanation:
Which number line best shows how to solve −8 − (−6)?
PLEASE ANSWER!!!
(look a picture for more details)
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]-8-(-6)[/tex]
[tex]=-8-(-6)[/tex]
[tex]=-8+6[/tex]
[tex]=-2[/tex]
The answer is B.
Here's a graph photo!
Hopefully, this helps you!!
[tex]Sokka[/tex]
Guys can u help me on this one pls it's math
Answer:
B.O.D.M.A.S
Step-by-step explanation:
B: Bracket
O: Operation
D: Division
M: Multiplication
A: Addition
S: Subtraction
Follow these steps.
Hope you understand ^^
Answer:
✏️ AnswerOn the pic. ↑Step-by-step explanation:
Hope it's help#CarryOnLearning#BrainlyPhxXxNoyaxXxFast help on this!!
Answer:
5 seconds
Step-by-step explanation:
hope it helps
correct me if i'm wrong
The formula for the area of a trapezoid is A= 1/2h(b1+b2), Where h is the height and b1 and b2 are the two bases. Rewrite the formula to solve for b1 in terms of A, h, and b2.
Answer:
Correct choice: B
Step-by-step explanation:
Equation Solving
The area of a trapezoid with height h and bases b1 and b2 is given by:
We must solve this formula for h.
First, multiply by 2 to eliminate denominators:
Now, divide by b1+b2:
Swapping sides:
Correct choice: B
In the ratio of 3:2:2, three brothers invested a total of 49000 pesos to a store. Find each brother's share in the investment.
Answer:
21000,14000,and14000
Step-by-step explanation:
3x+2x+2x=49000
7x=49000
x=7000
3×7000=21000
2×7000=14000
2×7000=14000