Answers
Answer:
i think is the third one
Related Questions
Three years ago, dedrick's age was a third of francisca's age. in 13 years, francisca's age will be twice dedrick's age. how old are they now?
Answers
Answer:
Step-by-step explanation:
According to the first statement, "Three years ago, Dedrick's age was a third of Francisca's age":
D - 3 = (1/3) * (F - 3)
According to the second statement, "In 13 years, Francisca's age will be twice Dedrick's age":
F + 13 = 2 * (D + 13)
Now, we have a system of two equations. We can solve these equations to find their current ages.
Step 1: Solve the first equation for D in terms of F:
D - 3 = (1/3) * (F - 3)
3D - 9 = F - 3
3D = F + 6
D = (F + 6) / 3
Step 2: Substitute the expression for D into the second equation:
F + 13 = 2 * ((F + 6) / 3 + 13)
Step 3: Solve for F:
F + 13 = 2 * ((F + 6) / 3 + 13)
F + 13 = 2 * (F + 6 + 39)
F + 13 = 2 * (F + 45)
F + 13 = 2F + 90
F - 2F = 90 - 13
-F = 77
F = -77
Step 4: Find D using the expression we found earlier:
D = (F + 6) / 3
D = (-77 + 6) / 3
D = -71 / 3
Now, we have found their ages, but we encounter a problem. Both Francisca and Dedrick's ages are coming out as negative, which is not meaningful in this context. It suggests that there might be an error in the initial information provided or in the equations derived from it.
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How many hours did theo and kade do separately?
Answers
The original price of a nail file is $0.60. How much will Emir pay if he buys it during the sale?
Answers
Solve using the factoring method: x2 + 4x - 21 = 0
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Answer:
x² + 4x - 21 = 0
x² + 7x - 3x - 21 = 0
x ( x + 7 ) -3 ( x + 7 ) = 0
( x - 3 ) ( x + 7 ) = 0
∴ x - 3 = 0 or x + 7 = 0
x = 0 + 3 x = 0 - 7
x = 3 x = -7
Use the numbers below to answer the following
question.
6^1, 3^2, 2^3, 1^7
Which shows the numbers ordered from least to
greatest?
Answers
Definition:
[tex]a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^4=a\cdot a\cdot a\cdot a\\\vdots\\a^n=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}[/tex]
also
[tex]a^1=a\\\\a^0=1[/tex]
[tex]6^1=6\\\\3^2=3\cdot3=9\\\\2^3=2\cdot2\cdot2=8\\\\1^7=1[/tex]
therefore
[tex]\huge\boxed{1^7 < 6^1 < 2^3 < 3^2}[/tex]\frac { 6 ^ { n + 2 } - 6 ^ { n } } { 6 ^ { n + 1 } + 6 ^ { n } }
Solve this ...
this is the question of laws of indices(exponent)
Answers
Answer:
5
Step-by-step explanation:
Given expression:
[tex]\dfrac{6^{n+2}-6^n}{6^{n+1}+6^n}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c[/tex]
[tex]\implies \dfrac{6^n6^2-6^n}{6^n6^1+6^n}[/tex]
Factor:
[tex]\implies \dfrac{6^n(6^2-1)}{6^n(6^1+1)}[/tex]
Cancel [tex]6^n[/tex] :
[tex]\implies \dfrac{(6^2-1)}{(6^1+1)}[/tex]
Simplify:
[tex]\implies \dfrac{36-1}{6+1}[/tex]
[tex]\implies \dfrac{35}{7}[/tex]
[tex]\implies 5[/tex]
Select the correct answer.
Which set of coordinates satisfies the system of equations y=x-3 and y=-2x+1?
Y
w
A
N
9
83
B
-1
-2
3
5
C
3
4
O
Answers
Answer: [tex]\left(\frac{4}{3}, -\frac{5}{3} \right)[/tex]
Step-by-step explanation:
Setting the equations equal to each other.
[tex]x-3=-2x+1\\\\3x=4\\\\x=\frac{4}{3}\\\\\implies y=\frac{4}{3}-3=-\frac{5}{3}[/tex]
Which system of equations can be used to find the roots of the equation 4x/2=x/3+2x
Answers
The system of equation can be used to find the root of the equation is y= x³-4x² +2x and y=0 , y=4x² and y= x³+2x
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y=-4x²
y= x³+2x
By equating the above equation we have
-4x²=x³+2x
Now, y= x³-4x² +2x
and y=0
By equating the above equation we have
x³-4x² +2x=0
y=4x²
y= -x³-2x
By equating the above equation we have
4x²=-x³-2x
Lastly,
y=4x²
y= x³+2x
By equating the above equation we have
4x²=x³+2x
Hence, the equation can be used is y= x³-4x² +2x and y=0 ,
y=4x² and y= x³+2x
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HELPPPPP ITS URGENTTTTT
click on the photo
Answers
Answer:
x=67.4
Step-by-step explanation:
well sin30:1/2
So y is not 30 since 5/13 doesn’t equal 1/2
So it’s either the the third or fourth option
And x>y
So option 4 is correct
Simplify cubed 5 -10/27
Answers
The correct answer for the given expression is 99.22.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The expression will be solved as:-
E = [tex]({5 -\dfrac{10}{27}})^3[/tex]
E = [tex](\dfrac{135-10}{27})^3[/tex]
E =[tex]\dfrac{125}{27}^3[/tex]
E = 99.22
Therefore the correct answer for the given expression is 99.22.
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Simplify fully 4d2-6d2+5d2
Answers
Answer:
3d²
Step-by-step explanation:
Hello!
To simplify, we combine the like terms by adding them.
Like termsLike terms are terms with the same variable and degree. A degree is a power to which the term is raised. Like terms can have numerical coefficients. For example, a coefficient of 4 to x² would mean 4 times x².
We can see that the variable d² is common throughout the three terms, meaning they are like terms. We can simply add and subtract them.
Simplify4d² - 6d² + 5d²-2d² + 5d²3d²The simplified form is 3d².
What is the measure of ∠z
Answers
Answer:
155°
Step-by-step explanation:
z = 65° + y
y is a right angle
=> y = 90°
=> z = 65° + 90° = 155°
Solve using a proportion.
Mario spends 8 hours each week practicing soccer. How many hours will Mario spend on soccer practice after 21 weeks?
A. 168 hours
B. 186 hours
C. 160 hours
D. 29 hours
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Your final answer: A.
What is the radius for a circle whose equation is +=367
O A 18
OB. 1296
O C. 6
O D. 36
Answers
perimeter =
help me please thank u :)
Answers
Answer:
[tex]\fbox {Perimeter = 37.92}[/tex]
Step-by-step explanation:
Finding the missing side :
⇒ Take the tan value of the listed angle
⇒ tan 60° = √3 = 6/x
⇒ x = 6/√3 × √3/√3 = 2√3 = 2(1.73) = 3.46
Solving :
⇒ Perimeter = 10 + 2(6 + 3.46)
⇒ Perimeter = 10 + 2(9.46)
⇒ Perimeter = 19 + 18.92
⇒ Perimeter = 37.92
Suppose you flip two coins. What is the probability of getting at most one heads? give your answer as a reduced fraction.
Answers
The probability of getting at most one heads is 1/2
How to determine the probability?Let H represents Head and T represents Tail.
The sample space of two coin is:
S=(H,T),(T,T),(T,H),(H,H).
In the above sample, we have:
At most one head = 2
Total = 2
The required probability is then calculated as:
P = 2/4
Simplify
P = 1/2
Hence, the probability of getting at most one heads is 1/2
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find sizes of unknown angles
Answers
Answer:
a=75
b=70
c=110
d=105
e=110
f=105
Step-by-step explanation:
Which points would you find on the graph for |x| +1 < 3?
-1
-3
0
1
Answers
The points would you find on the graph for |x| +1 < 3 are -1, 0 and 1
How to determine the points?The inequality is given as:
|x| + 1 < 3
Subtract 1 from both sides
|x| < 2
This means that the absolute value of x is less than 2
From the list of options, the true values are -1, 0 and 1.
Because their absolute values are less than 2
Hence, the points would you find on the graph for |x| +1 < 3 are -1, 0 and 1
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after 1 year, 80% of the initial amount of a radioactive substance remains. what is the half-life of the substance? half-life is
Answers
If a radioactive substance remains 80% of the initial amount then the half life of the radioactive substance is 2.5 years.
Given 80% of the initial amount of a radioactive substance remains.
If after 1 year the value or weight of the radioactive substance remains 80% means the rate of disappearing is 20% per annum.
If we clearly observe then it is forming a geometric progression and the rate is 80%.
Geometric progression will be if we assume the initial quantity be 100
is:
100,80,64,.........
we have to calculate the value of years in the value of term is 0.
the value of nth term of a geometric progression is [tex]ar^{n-1}[/tex]
so,
r is 0.8
100*[tex]0.8^{n-1}[/tex]=0
[tex]0.8^{n-1}[/tex]=0
if we calculate this we will find n-1=11
n=12
So the full life of radioactive substance is 12 and the half life will be 6 years.
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The basic equation for calculating compound interest is A = P(1 + nt.
If $1,200 is invested at an interest rate of 8% per year, compounded quarterly, how much will the
investment be worth at the end of 10 years?
Show your work!
Answers
The amount of the investment at the end of the 10 years period if compounded quarterly is $2,649.6.
Compound interestPrincipal, P = $1200Interest rate, r = 8% = 0.08Time, t = 10Number of period, n = 4A = P(1 + r/n)^nt
= 1200(1 + 0.08/4)^(4×10)
= 1200(1 + 0.02)^40
= 1200(1.02)^40
= 1200(2.208)
= $2,649.6
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Kelly brought a pair of sneakers for 35.00 she also brought a pile of different laces. Each set of laces,l, costs 3.00. Write a variable expression to show how Kelly could calculate her total cost
Answers
Answer:
35+3I
Step-by-step explanation:
35+3I
Use the law of cosines to find each missing side. Round to the nearest tenth
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The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known. The value of x is 117.8°. thus, the correct option is A.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
[tex]Cos(\theta) = \dfrac{a^2+b^2-c^2}{2ab}[/tex]
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
As per the law of cosine, the measure of angle x can be written as,
[tex]Cos(x) = \dfrac{12^2+5^2-15^2}{2(5)(12)}\\\\Cos(x) = \dfrac{-56}{120}\\\\x = 117.8^o[/tex]
Hence, the value of x is 117.8°. thus, the correct option is A.
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The slope-intercept form of the equation of a line that passes through point (-2,-13) is y=5x-3. What is the point-slope form of the equation for this line?
Answers
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
Point - slope form of equation:[tex]\sf \boxed{\bf y - y_1=m(x-x_1)}[/tex]
Slope intercept of the line : y =5x - 3
Comparing with y = mx +b , m =slope = 5
m = 5 and Point (-2 ,-13)
y - [-13] = 5(x - [-2])
y + 13 = 5(x + 2)
Which graph represents the following piecewise defined function?
-2x, x<-2
g(x)= -x², -2
X, X >1
Answers
Answer: See Attachment
Step-by-step explanation: I wasn’t sure if you meant -2 < x, but that’s the work I did to get the answer. If you can, send a picture of the question itself in case you didn’t mean -2 < x.
Two taps, *A* and *B* are of different sizes. Tap A fills a container with water in 3 minutes and Tap B fills the same container in 5 minutes. How much time Will it take if both the taps are turned on at the same time.
answer with working
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On its own tap B fills 1/5 of the container each minute.
Both taps together will fill 1/3 + 1/5 = 5/15 + 3/15 = 8/15 of container per minute.
Filling the whole container using both taps will take 15/8 minutes = 1 7/8 minutes = 1 min 52.5 secs
What is the missing number below in the solution to 968 divided by 10
Answers
Answer: 484/5
Step-by-step explanation:
For this word problem, it seems confusing with the wording but the equation would just be:
968÷10=x
solving for x, we get 484/5.
Factorize
ху
+ 3x +3y
+ 18
Answers
Answer:
(x+6)(y+3)
Step-by-step explanation:
xy + 3x + 6y + 18x(y + 3) + 6(y+3)(x+6)(y+3)A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of `pi`.)
Answers
The volume of the air space surrounding the cone inside the cylinder is 1055.04 cm³
How to find volume?The volume of the air space surrounding the cone inside the cylinder is as follows:
volume of the air space = volume of cylinder - volume of a cone
volume of cylinder = πr²h
volume of cylinder = π16 × 5²
volume of cylinder = 400π
volume of the cone = 1 / 3 πr²h
volume of the cone = 1 / 3 × π × 12 × 4²
volume of the cone = 64π
Therefore,
volume of the air space = 400π - 64π
volume of the air space = 336π
volume of the air space = 1055.04 cm³
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help______________________________________
Answers
The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.
Meaning of Simultaneous Equation.A simultaneous equation can be defined as an equation that possesses two unknowns and one constant.
The solution to the problem can only be gotten by solving it side by side with another equation of the same format.
In conclusion, The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.
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The inverse of the function f(x) = 1/2x + 10is shown.
h(x) = 2x-0
What is the missing value?
Answers
Answer:
20
Step-by-step explanation:
the inverse of
y=1/2x + 10
is
x=1/2y+10
from here you just solve for y
x-10 = 1/2y
2(x-10) = y
2x-20 = y