The expression that represents the age of randy's brother is
2x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Randy age = 8 years old
Randy's brother age = 2 x 8 = 16
Randy's sister age = 8 - 3 = 5
The expression that represents the age of randy's brother.
Let the age of Randy = x.
= 2x
= 2x
= 2 x 8
= 16 years old.
Thus,
The expression that represents the age of randy's brother is
2x.
Where x is the age of Randy.
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If f(x) = 3x and g(x)=1/x, what is the domain of (gof)(x)?
For the given functions f(x) = 3x and g(x) = 1/x then domain of
(gof)(x) =1/3x is all the real numbers excluding zero.
As given in the question,
Given functions are as follow:
f(x) = 3x
g(x) = 1/x
Now ,
(gof)(x)
= g(f(x))
Substitute f(x) = 3x in the above function we have,
=g(3x)
Replace the value of x by 3x in the given function g(x) we get,
= 1/ 3x
For x = 0 (gof)(x) =1/3x is undefined.
Domain include all the real numbers except zero.
Therefore, for the given functions f(x) = 3x and g(x) = 1/x then domain of (gof)(x) =1/3x is all the real numbers excluding zero.
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6. Solve for y. 12y - 10 = 14y
02
0 5
O-5
O-2
Answer:
can you pls clear your questions?
plseas help
There are 7 students in grade 11 and 15 students in grade 12 that are part of the VSS robotics club. A committee consisting of a president, vice president, media rep, and accountant is being chosen.
a. In how many ways could the panel be chosen if the president and vice president must be from different grades?
b. In how many ways could the panel be chosen if it must include at least one grade 11 student and at least one grade 12 student?
The number of ways to form the committees, using the Fundamental Counting Theorem, are given as follows:
a) President and vice from different grades: 79,800.
b) At least one from each: 141,960.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the factorials as presented as follows:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For item a, there are two possible cases for the parameters, as follows:
[tex]n_1 = 7, n_2 = 15, n_3 = 20, n_4 = 19[/tex]: President from grade 11, vice from grade 12, the remaining two roles can be chosen from any student.[tex]n_1 = 15, n_2 = 7, n_3 = 20, n_4 = 19[/tex]: President from grade 12, vice from grade 11, the remaining two roles can be chosen from any student.Hence the number of ways is:
N = 7 x 15 x 20 x 19 + 15 x 7 x 20 x 19 = 79,800.
For item b, the total number of outcomes is obtained as follows:
N = 22 x 21 x 20 x 19 = 175,560.
The number of outcomes with only grade 11 students is:
N = 7 x 6 x 5 x 4 = 840.
The number of outcomes with only grade 12 students is:
N = 15 x 14 x 13 x 12 = 32760.
Hence the number of students with at least one of each is:
N = 175,560 - (840 + 32,760) = 141,960.
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Given that €1 = £0.75
a) How much is €530 in £?
b) What is the £ to €-exchange rate?
Answer: a.) 397.5 b.) 1.3333
Step-by-step explanation:
1 cent = £0.75
530 x 0.75 = 397.5
530 / 397.5 = 1.3333
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2a × ( 3 + b ) = 6a + 2ab is an example of the property
Answer:
It's an example of the distributive property
what is the product of 3/4 of 4/5
Answer:
0.6
Step-by-step explanation:
3/4 of 4/5 is the same as asking: If you take 3/4 of 4/5, what do you get? Furthermore, 3/4 is 75 percent. Therefore, we are solving 75 percent of 4/5 when we are solving 3/4 of 4/5. To solve the problem, we start by labeling 3/4 of 4/5 like this: N1/D1 of N2/D2
Then we use this fraction of a fraction formula to solve the problem:
(N1 x N2) / (D1 x D2)
When we enter 3/4 of 4/5 into the formula, we get:
(3 x 4) / (4 x 5) = 12/20
Therefore, the answer to 3/4 of 4/5 in its lowest form is:
3/4 of 4/5 = 3/5
The answer above is 3/4 of 4/5 in fraction form. Below we have converted the response to a decimal form for you: 3/4 of 4/5 = 0.6
Hint: If you need to figure out a Fraction of Fraction problem like 3/4 of 4/5 in the future, remember that you get the answer by multiplying the numerator to and the denominator this is the same as multiplying the fractions together.
Find the value of each variable. For the circle, the dot represents the center.
The values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.
What is meant by circle?A circle is a shape formed by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane such that its distance from a particular point remains constant. The radius is the distance between any point on a circle and the center. The radius must usually be a positive integer. Degenerate case is a circle with r=0. Except when otherwise specified, this article is about circles in Euclidean geometry, and specifically the Euclidean plane.
1) Measure of ∠d
∠d+109°=180°
∠d=71°
2) Measure of ∠c,
∠c+93°=180°
∠c=87°
3) Measure of arc a is,
109°=1/2[97°+arc a]
218°=97°+arc a
arc a=121°
4) Measure of arc b,
87°=1/2[121°+arc b]
174°=121°+arc b
arc b=53°
Therefore, the values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.
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A candy company sells peanut brittle and almond bark. The information for both types of candy is shown.
graph labeled Peanut Brittle with x axis labeled weight in ounces and y axis labeled cost in dollars with a line from point 0 comma 0 going through 10 comma 10
Almond Bark
Weight (ounces) 4 12 16
Cost (dollars) 5 15 20
Determine how much more one candy costs per ounce than the other candy.
Almond bark costs $0.25 more per ounce than peanut brittle.
Peanut brittle costs $0.25 more per ounce than almond bark.
Almond bark costs $0.20 more per ounce than peanut brittle.
Peanut brittle costs $0.20 more per ounce than almond bark.
The correct option regarding the proportional relationships for the costs of the Peanut Brittle and for the Almond Bark are given as follows:
Almond bark costs $0.25 more per ounce than peanut brittle.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope k and intercept 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:
y = kx.
The Peanut Brittle graph goes through the point (10, 10), hence the constant, which is the price per candy, is obtained as follows:
10k = 10
k = 10/10
k = 1.
For Almond Bark, the price per candy is obtained as follows, from the table:
4k = 5
k = 5/4
k = 1.25.
Hence the difference of the prices is:
1.25 - 1 = $0.25.
Which means that the first option is correct.
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Answer:
Almond bark costs $0.25 more per ounce than peanut brittle.
Step-by-step explanation:
For what value of x is g(x) = 2
Answer:
x = 2
Step-by-step explanation:
For the function g(x) to have to equal only 2, that would have to be for the input, x, to be 2 itself considering there's no equation given.
Hope this helps!
what is the answer to
$224.50- $225.00
i already did calculator many different wayss
i will report wrong answers UNLESS you actually tried
Answer:_______________________________________________
-0.5
Answer:
224.50
-225.00
$0.50
- 50 cents
Between which two consecutive integers is [tex]\sqrt{201}[/tex]
Answer:
14 and 15
Step-by-step explanation:
[tex]196<201<225 \\ \\ \sqrt{196}<\sqrt{201}<\sqrt{225} \\ \\ 14<\sqrt{201}<15[/tex]
A medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total, how many tongue depressors and Band-Aids are there?
The total number of tongue depressors and Band-Aids are 56 and 128 respectively.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that, a medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total,
Let the number of wrapped tongue depressors be w and that of Band-Aids be b,
Therefore,
w+b= 184
0.04w+0.08b = 12.48
w+2b = 312
On solving the equation, by elimination method, we get,
b = 128
Therefore, w+128 = 184
w = 56
Hence, the total number of tongue depressors and Band-Aids are 56 and 128 respectively.
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Evaluate the power.
0.5² =
(Type a whole number or a decimal.)
Select the best answer for the question.
19. What is the sum of 1/9 2/3, and 5/18?
O A. 4/15
O B. 12/9
O C. 8/30
O D. 19/18
Answer:
the answer Is D 19/18
1/9 +2/3=1/9+ 6/9 =7/9
7/9 +5/18= 14/18 + 5/18 = 19/18
find the Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ]
The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ] is ( 5/√2, -5/√2)
The polar cordinates given are (r,θ)=(5,− π/4)
And we need to find the cartesian coordinates
We have,
x=rcosθ, y=rsinθ
x=5cos(− π/4) ,y=5sin(− π/4)
x= 5/√2 ,y=− 5/√2
So, the cartesian form is ( 5/√2, -5/√2)
The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ] is ( 5/√2, -5/√2)
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Given that logb(7)≈1.946, logb(9)≈2.197, and logb(16)≈2.773, find the logarithm of logb(1/63)
b is base b
The logarithmic expression given as logₙ(1/63) has its value to be -4.143
How to determine the logarithmic expression?From the question, the given parameters are
logₙ(7) = 1.946
logₙ(9) = 2.197
logₙ(16) = 2.773
The logarithmic expression to calculate is given as
logₙ(1/63)
Express 1/63 as 1/7 * 1/9
So, we have the following representation
logₙ(1/63) = logₙ(1/7 * 1/9)
Apply the product of logarithm
This gives
logₙ(1/63) = logₙ(1/7) + logₙ(1/9)
Apply the exponent of logarithm
This gives
logₙ(1/63) = -logₙ(7) - logₙ(9)
Substitute logₙ(7) = 1.946 and logₙ(9) = 2.197 in logₙ(1/63) = -logₙ(7) - logₙ(9)
logₙ(1/63) = -1.946 - 2.197
Evaluate
logₙ(1/63) = -4.143
Hence, the value of the logarithmic expression is -4.143
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2. Find the missing digits of the following UPC code:
55X200100102
The missing digits of the following UPC code 55X200100102 is 3.
What is UPC code?Add three to the total of the digits in the first, third, fifth, seventh, ninth, and eleventh positions. The total of the digits in the second, fourth, sixth, eighth, tenth, and twelveth positions should be added to this. The code is legitimate and the computer will accept it if the outcome is a multiple of 10. Add the values of the 1, 3, 5, 7, 9, and 11 odd digits together. Multiply that amount by 3. Add up the values of all the even digits (digits 2, 4, 6, 8 and 10). To the value from step 2, add this total. Take the figure in Step 4. Thus, 3 is the check digit.
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how should i explain this please help???
Answer:
An arithmetic sequence occurs when the difference between each term and the next is constant. Therefore, only addition or subtraction is possible. Also, the amount (4, in this case) must remain the same when added to each successive term.
factorise fully 8x^2-4x
Answer:
4x(2x−1)
Step-by-step explanation:
[tex] {8x}^{2} - 4x[/tex]
Factor out 4.
[tex]4( {2x}^{2} - x)[/tex]
Consider
[tex] {2x}^{2} - x[/tex]
Factor out x.
x(2x−1)
Rewrite the complete factored expression.
=4x(2x−1)
Find all intervals on which the function f(x) = (e^(2x^2+5)/-6x is decreasing.
The function f(x) is decreasing on the interval x∈(1/2,∞) and all the real values.
What is meant by a function?A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.
The first known approximation to the concept of function is attributed to the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally idealistic representations of how one variable quantity depended on another. The location of a planet, for example, changes throughout time. Historically, the concept was formed with infinitesimal calculus near the end of the 17th century, and the functions that were analyzed were differentiable until the 19th century.
Given function,
f(x)=[tex]e^{2 x^{2} +5}[/tex]/-6x
f'(x)=-1/6x([tex]e^{2 x^{2} +5}[/tex])(4x)+[tex]e^{2 x^{2} +5}[/tex](1/6x²)
=[tex]e^{2 x^{2} +5}[/tex]/6x((1/x)-4x)
f'(x)=0
((1/x)-4x)=0
1-4x²=0
4x²=1
x=±1/4
Given that, f(x) is decreasing function then,
f'(x)<0
((1/x)-4x)<0
(1-4x²)/x<0
1-4x²<0
1<4x²
1/4<4x²
x²>1/4
x>1/2
x∈(1/2,∞)
Hence, f(x) is decreasing on the interval x∈(1/2,∞)
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The sum of m and ten multiplied by 4
Answer:
4(m+10)
Step-by-step explanation:
sum is adding
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PLEASE HURRY I WANT TO FINISH MY TEST AND I NEED THE ANSWER!!
Determine which integer will make the inequality 2(n + 2) < 5(n − 1) true.
The value to make the inequality true is n > 3
InequalityInequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
We need to solve this problem and determine what value will solve this problem.
2(n + 2) < 5(n - 1)
2n + 4 < 5n - 5
Collect like terms
4 + 5 < 5n - 2n
9 < 3n
3n > 9
n > 3
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Given the following function, the values of p and q are...
f(x)= 3x^2-x-4
A. p=1, q=3
B. p=4, q=3
C. p= -4, q= 3
D. p=3, q=-4
Kevin has $97,800 in a savings account that earns 2% interest per year. The interest is not
compounded. How much will he have in total in 4 months?
Consider the equation and the following ordered pairs: (6,y) and (x,1).
y=−2x+5
The values of the variables x and y are 2 and -7.
We are given an equation. The equation is linear in nature. The equation represents a straight line. The equation is y = -2x + 5. We are given two sets of ordered pairs. The ordered pairs are (6, y) and (x, 1). These points satisfy the given equation. We need to find the values of the variables x and y. We will substitute the coordinates into the equation.
y = -2x + 5
First, we will put (6, y).
y = -2(6) + 5 = -12 + 5 = -7
Now, we will put (x, 1).
1 = -2x + 5
2x = 4
x = 2
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Find the measure of the exterior angle.
Answer:
x is 109°
hopefully this will help u
2x - 5 = 6x + 4
I got 2.25x I think? It's wrong though...
Answer:
x = -2.25
Step-by-step explanation:
To solve this we want to put the x alone on one side
Then by subtracting 6x from both sides
2x - 5 - 6x = 6x + 4 - 6x
- 4x - 5 =4
add 5 for both sides
- 4x - 5 + 5 = 4 + 5
- 4x = 9
Divide both sides by - 4
Then x = 9 / -4 = -2.25
So you only forget the negative sign
Glad to Help
Answer: x= - 9/4 or -2.25
Step-by-step explanation:
2x - 5 = 6x + 4(subtract 4 from the right side to move to the left side and subtract 2x from left side to move to right side)
-4 - 5 = 6x - 2x (now subtract these numbers as they have the same components)
-9 = 4x (divide by 4 to get X alone)
-9/4 = x
how much is 1191 less than 1111
Answer: If you mean how much is 1111 less than 1191, then your answer is
80.
Step-by-step explanation: 1191 - 1111 = 80.
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Which equations are true equations?
Select all correct answers.
39-3-6 6-10 +4
56 +8+3² - 2.2³
=
24
04-50-6²-8
82 5² 4² - 7
=
-
-
Answer:
C and A
Step-by-step explanation:
Question as shown in the image:
Answer:
arc ABC ≈ 18.2 cm
Step-by-step explanation:
the length of the arc ABC is calculated as
arc = circumference of circle × fraction of circle
the angle around the centre O is 360° , then
angle subtended by arc = 360° - 100° = 260°
then
arc = 2πr × [tex]\frac{260}{360}[/tex] ( t is the radius = 4 )
= 2π × 4 × [tex]\frac{26}{36}[/tex]
= 8π × [tex]\frac{13}{18}[/tex]
= [tex]\frac{8\pi (13)}{18}[/tex]
≈ 18.2 cm (to 3 significant figures )