Tim has some marbles.
Sue has twice as many marbles as Tim.
Jim has 15 marbles.
Tim, Sue and Jim have the a total of 63 marbles.
How many marbles does Tim have?
Answers
Let 2x = the number of marbles Sue has
x + 2x + 15 = 63
3x = 48
x = 16 marbles
Related Questions
a postal worker counts the number of complaint letters received by the united states postal service in a given day. identify the type of data collected.
Answers
When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.
How to explain the dataQuantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.
Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.
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Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.
Answers
the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.
The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.
We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)
7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³
36 = (4/3)r³
27 = r³
r = 3 Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)
(dr/dt) = 7 / (4π(9))
(dr/dt) = 7 / (36π)
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If the average rate of inflation over the last hundred years was 3. 22%, what amount of money one hundred years ago would be equivalent to a million dollars today? Show your work.
Answers
If the average rate of inflation over the last hundred years was 3.22%, the amount of money one hundred years ago would be equivalent to a million dollars today is approximately 968,805 dollars.
If the average rate of inflation over the last hundred years was 3.22%, we have to determine the amount of money one hundred years ago would be equivalent to a million dollars today.
We know that formula of inflation is:
inflation = (FP−IP)/IP × 100
where, IP stands for the initial basket price or price index.
FP stands for the basket's final price or the price index.
From the question, inflation = 3.22%, FP = 1,000,000
Now putting the values in the formula
3.22 = (1,000,000 - IP)/IP × 100
Divide by 100 on both side, we get
0.0322 = (1,000,000 - IP)/IP
Multiply by IP on both side, we get
0.0322IP = 1,000,000 - IP
Add IP on both side, we get
1.0322IP = 1,000,000
Divide by 1.0322 on both side, we get
IP = 968,804.5
IP = 968,805(approx)
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Los padres de teresa van a comprar un coche por 1. 750. 000, pagaran el 40% de su precio cuando se lo entreguen, y el resto en 12 cuotas iguales
calcula el valor de la cuota
Answers
The value of each installment is $87,500.
To calculate the value of each installment, we need to find the remaining amount to be paid after the down payment.
The total price of the car is $1,750,000. Teresa's parents will pay 40% of this amount when the car is delivered, which is equal to 0.40 * $1,750,000 = $700,000.
The remaining amount to be paid is $1,750,000 - $700,000 = $1,050,000.
Now, we need to divide the remaining amount into 12 equal installments. To find the value of each installment, we divide the remaining amount by 12:
$1,050,000 / 12 = $87,500.
Therefore, the value of each installment is $87,500.
Teresa's parents will make a down payment of $700,000 when the car is delivered, and then pay $87,500 for each of the 12 installments, resulting in a total payment equal to the original price of the car.
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Let f(x)=x²−3x+4. Find [f(x+h)−f(x))]/h and simplify.
Answers
The simplified expression for [f(x+h) - f(x)]/h is 2x + h - 3. It represents the rate of change of the function f(x) with respect to h.
To find [f(x+h) - f(x)]/h, we first substitute f(x) and f(x+h) into the expression and expand it:
f(x) = x² - 3x + 4
f(x+h) = (x+h)² - 3(x+h) + 4
Expanding f(x+h), we have:
f(x+h) = x² + 2xh + h² - 3x - 3h + 4
Now, let's substitute these expressions back into the original equation:
[f(x+h) - f(x)]/h = [(x² + 2xh + h² - 3x - 3h + 4) - (x² - 3x + 4)] / h
Expanding the brackets and simplifying, we get:
= [(x² + 2xh + h² - 3x - 3h + 4 - x² + 3x - 4)] / h
Canceling out the like terms:
= [(2xh + h² - 3h)] / h
Factoring out h from the numerator:
= h(2x + h - 3) / h
Simplifying further:
= 2x + h - 3
Therefore, [f(x+h) - f(x)]/h simplifies to 2x + h - 3.
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find the multiples of 8 and 10
Answers
Answer:
multiples of 8:8 16 24 32 40 48 56 64 72 80 88 96 multiples of 10:10 20 30 40 50 60 70 80 90 100 110 120
Step-by-step explanation:
it's just skip counting
pls brainliest
a square is inscribed into a circle with radius a. find the dimensions of the square with the maximum area
Answers
Answer:
dimension=2a×2a
area=4a^2
Step-by-step explanation:
since the radius of the circle is a
Then l= 2a
area of a square =l^2
area=2a×2a
Find the missing terms in each geometric sequence.
1. 3, 12, 48 __, __
2. __, __, 32, 64, 128, ...
3. 120, 60, 30, __, __
4. 5, __, 20, 40, __, __
5. __, 4, 12, 36, __, __
Answers
2. 8, 16 (it was adding the number together 8+8)
3. 15, 7.5 ( it was half of the number)
4. 10, 80, 160 ( times 2 )
5. .75, 108, 324 ( times 4 )
Hope this helped! Lmk if you need more help!
A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed are supposed to contain 300m. In fact, the contents vary according to a Normal Distribution with mean of 298 mL and a standard deviation of 3 mL. (a) What is the probability that an individual bottle contains less than 295 mL? Show your work. (b) What is the probability that the mean contents of six randomly chosen bottles is less than 295 mL? Show your work.
Answers
Answer:
0.15866 ; 0.0071627
Step-by-step explanation:
Given that:
Mean (m) = 298
Standard deviation (s) = 3
A.) P(x < 295)
Using the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (295 - 298) / 3 = - 1
p(Z < - 1) = 0.15866 ( Z probability calculator)
B.)
Z = (x - m) / s /sqrt(n)
Z = (295 - 298) / 3/sqrt(6) = −2.449489
p(Z < - 2.449) = 0.0071627 ( Z probability calculator)
Given values are:
Mean,
m = 298Standard deviation,
s = 3(a)
P(x < 295)
The standardized score will be:
→ \(Z = \frac{(x-m)}{s}\)
By substituting the values, we get
\(= \frac{(295-298)}{3}\)
\(= \frac{-3}{3}\)
\(= -1\)
Now,
By using the Z probability calculator, we get
→ \(p(Z< -1) = 0.15866\)
(b)
The standardized score will be:
→ \(Z = \frac{x-m}{\frac{s}{\sqrt{n} } }\)
By putting the values,
\(= \frac{295-298}{\frac{3}{\sqrt{6} } }\)
\(= -2.449489\)
Now,
→ \(p(Z < -2.449)= 0.007163\)
Thus the responses above are correct.
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what's 4/6 in decimal form
Answers
Which function is best represented by this graph?
Responses
A y = -3x + 2y = -3 x + 2
B y = 2x + 3y = 2 x + 3
C y = -2x + 3y = -2 x + 3
D y = 3x + 2y = 3 x + 2
Answers
The equation of the line will be y = 2x + 3. Then the correct option is B.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)
From the graph, two points are taken as (0, 3) and (1, 5). Then the equation of the line is given as,
(y - 3) = [(5 - 3) / (1 - 0)](x - 0)
Simplify the equation, then we have
y - 3 = 2x
y = 2x + 3
The equation of the line will be y = 2x + 3. Then the correct option is B.
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Answer:
c
Step-by-step explanation:
help please Simplify (4^1/5)^5
Answers
Answer:
B. 4
Step-by-step explanation:
(4^1/5)^5
Apply law of exponents.
4^(1/5 × 5)
4^(5/5)
4^1
= 4
Answer:four
Step-by-step explanation:blah blah blah its correct:)
Hello! I got this answer but I am unsure as to how I got the answer.
Answers
Given a quadratic equation: y = ax² + bx + c, "a", "b" and "c" are the coefficients of the regression and can be estimated using the formulas below.
a = {[Σ x²y * Σ xx ] - [Σ xy * Σ xx² ] } / { [ Σ xx * Σ x²x²] - [Σ xx² ]²}
b = {[Σ xy * Σ x²x² ] - [Σ x²y * Σ xx² ] } / { [ Σ xx * Σ x²x²] - [Σ xx² ]²}
c = [Σ y / n ] - { b * [ Σ x / n ] } - { a * [ Σ x² / n ]}
Where:
Σ xx = [Σ x²] - [ ( Σ x )² / n]
Σ xy = [Σ x y] - [ ( Σ x * Σ y ) / n]
Σ xx² = [Σ x³] - [ ( Σ x² * Σ x ) / n]
Σ x²y = [Σ x²y] - [ ( Σ x² * Σ y ) / n]
Σ x²x² = [Σ x⁴] - [ ( Σ x² )² / n]
And:
x and y are the Variables.
n = Number of Values or Elements
Σ x = Sum of x Scores
Σ y = Sum of y Scores
Σ x² = Sum of Square of x
Σ x³ = Sum of Cube of x
Σ x⁴ = Sum of Power Four of x
Σ xy= Sum of the Product of x and y
Σ x²y = Sum of Square of x and y
To solve the problem, follow the steps below.
Step 01: Find n and the values of x and y.
n = 6.
x = 8, 10, 12, 14, 16, 18
y = 45.94, 56.84, 63.88, 67.07, 66.4, 61.87
Step 02: Find Σ x, Σ y, Σ x², Σx³, Σ x⁴, Σ xy, Σ x²y
* (,) represents a decimal point.
Step 03: Find Σ xx, Σ xy, Σ xx², Σ x²y, Σ x²x²
Substitute the values above in the equations for each variable:
Σ xx = [Σ x²] - [ ( Σ x )² / n]
Σ xy = [Σ x y] - [ ( Σ x * Σ y ) / n]
Σ xx² = [Σ x³] - [ ( Σ x² * Σ x ) / n]
Σ x²y = [Σ x²y] - [ ( Σ x² * Σ y ) / n]
Σ x²x² = [Σ x⁴] - [ ( Σ x² )² / n]
\(\begin{gathered} \sum_^xx=\operatorname{\sum}_^x^2-\frac{(\operatorname{\sum}_^x)^2}{n} \\ \sum_^xx=1084-\frac{78^2}{6} \\ \sum_^xx=1084-\frac{6084}{6} \\ \sum_^xx=1084-1014 \\ \sum_^xx=70 \end{gathered}\)Doing the same for the other variables, you have the results:
* (,) represents a decimal point.
Step 03: Find "a".
a = {[Σ x²y * Σ xx ] - [Σ xy * Σ xx² ] } / { [ Σ xx * Σ x²x²] - [Σ xx² ]²}
\(\begin{gathered} a=\frac{2611.55*70-111.52*1820}{70*47917.3-1820^2} \\ a=-0.482 \end{gathered}\)Step 04: Find "b".
b = {[Σ xy * Σ x²x² ] - [Σ x²y * Σ xx² ] } / { [ Σ xx * Σ x²x²] - [Σ xx² ]²}
\(\begin{gathered} b=\frac{111.52*47917.3-2611.55*1820}{70*47917.3-1820^2} \\ b=14.125 \end{gathered}\)Step 05: Find "c".
c = [Σ y / n ] - { b * [ Σ x / n ] } - { a * [ Σ x² / n ]}
\(\begin{gathered} c=\frac{362}{6}-14.125*\frac{78}{6}-(-0.482)*\frac{1084}{6} \\ c=-36.209 \end{gathered}\)Answer:
The equation is:
\(-0.482x^2+14.125x-36.209\)
Find the 12th term of the geometric sequence 2, 10,50,...
Answers
The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.
Geometric sequence:Important information:
Given geometric sequence is 2, 10,50,...We need to find the 12 th term.
In the given geometric sequence, the first term is \(a=2\) and the common ratio is \(d=\dfrac{10}{2}=5\).
The nth term is:
\(a_n=ar^{n-1}\)
Where \(a\) is first term, \(r\) is common ratio.
The 12th term is:
\(a_{12}=2(5)^{12-1}\)
\(a_{12}=2(5)^{11}\)
\(a_{12}=97656250\)
Therefore, the 12th term of the geometric sequence is 97656250.
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Answer: 97656250.
Step-by-step explanation:
dm
Which of the following pair of angles is the complementary angle? 25 and 65 31 and 71 60 and 40 145 and 35
Answers
Answer:
Step-by-step explanation:
If the sum of a pair of angles is 90, then they are complementary angles.
25 + 65 = 90
So, 25 and 65 are complementary angles
Answer:
25 and 65
Step-by-step explanation:
complementary angle= either of two angles whose sum is 90°
25 and 65, sum = 90°
yes31 and 71, sum = 102°
no60 and 40, sum = 100°
no145 and 35, sum = 180°
noa circle whose diameter is 35.7 cm is divided into nine equal central angles. find the length of an arc. round to tenths.
Answers
The length of an arc is 12.5 cm.
To find the length of an arc, we need to first find the measure of each central angle. Since the circle is divided into nine equal central angles, we can use the formula:
measure of each central angle = 360 degrees / number of central angles
measure of each central angle = 360 degrees / 9
measure of each central angle = 40 degrees
Now, we can use the formula for the length of an arc:
length of an arc = (central angle in degrees / 360 degrees) x (circumference of the circle)
We know that the diameter of the circle is 35.7 cm, so the radius is half of that, or 17.85 cm. The circumference of the circle is:
circumference = 2 x pi x radius
circumference = 2 x 3.14 x 17.85
circumference = 112.15 cm
Now we can plug in the values:
length of an arc = (40 degrees / 360 degrees) x 112.15 cm
length of an arc = 0.1111 x 112.15 cm
length of an arc = 12.46 cm
Rounding to tenths, the length of an arc is 12.5 cm.
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Suppose you choose four books
to read from a summer reading
list of 12 books. How many
different combinations of books
are possible?
n!
Note: Cr= (-)
r!(n-r)!
n
Answers
\(_{12}C_4=\dfrac{12!}{4!8!}=\dfrac{9\cdot10\cdot11\cdot12}{2\cdot3\cdot4}=495\)
Solve the equation using the Properties of Equality. x/18-1/6=30
Answers
Answer:
x= 543
Step-by-step explanation:
Multiply both sides of the equation by 18.
x-3=540
Move the constant to the right-hand side and change its sign.
x= 540+3
Calculate.
x=543
Find the slope that passes through (4,9) and (6,8)
Answers
-1/2 is the slope and 11 is the y-intercept
Which of the following is the
graph of
(x + 3)² + (y + 1)² = 9?
Answers
What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?
On a coordinate plane, a line goes through (0, 4) and (5, 5). A point is at (5, negative 4).
y = negative 5 x minus 29
y = negative 5 x + 21
y = one-fifth x minus 4
y = one-fifth x minus 5
Answers
Answer:
2nd option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{5}\) x + 4 ← is in slope- intercept form
with slope m = \(\frac{1}{5}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{5} }\) = - 5 , then
y = - 5x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = - 25 + c ⇒ c = - 4 + 25 = 21
y = - 5x + 21 ← equation of perpendicular line
work out 47% of £9000
Answers
explanation:
a30 arithmetic sequence of 1,-4,-9,-14
Answers
The 30th term a30 of the sequence is -1445
How to determine the value of a30?The definition of the function is given as
arithmetic sequence of 1,-4,-9,-14
The above definitions imply that we simply subtract 5 from the previous term to get the current term
Using the above as a guide,
so, we have the following representation
First term, a = 1
Common difference, d = 5
An arithmetic sequence is represented as
a(n) = a + (n - 1)d
For the 30th term, we have
a(30) = a + 29d
So, we have
a(30) = 1 + 29 * -5
Evaluate
a(30) = -144
Hence, the value of a30 is -144
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which will be smoother, a 50-day or a 200-day moving average?
Answers
The choice between a 50-day and a 200-day moving average depends on the specific trading strategy and time horizon.
Moving averages are commonly used technical indicators that smooth out price data over a specified period to identify trends and potential buy or sell signals. The choice between a 50-day and a 200-day moving average primarily depends on the trader's objective and time horizon.
A 50-day moving average is more sensitive to short-term price fluctuations and can provide quicker signals for shorter-term trading strategies. It reacts more swiftly to price changes and may generate more frequent trading signals. However, it can also be more prone to false signals or whipsaws due to its sensitivity to short-term market noise.
On the other hand, a 200-day moving average is slower to react to price changes and is considered a longer-term trend indicator. It smooths out short-term fluctuations and is often used by traders with longer time horizons, such as swing traders or investors. The signals generated by a 200-day moving average tend to be more reliable but may come with a lag in response to recent price movements.
Ultimately, the choice between a 50-day and a 200-day moving average depends on the trader's preferred trading style, time horizon, and the level of sensitivity they seek in their trading signals.
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PLEASE HELP BRAINLY!!!
Answers
Answer: 5x*10
Step-by-step explanation:
Answer:it's 5x*10 other guys right
Step-by-step explanation:
If a baseball player has a batting average of 0.265, what is the probability that the player will get the following number of hits in the next four times at bat?(A) Exactly 2 hits(B) At least 2 hits I have also attached a reference example.
Answers
Solution
For this case we have the following probability given:
p= 0.265
n= 4
Part a
\(P(X=2)=(4C2)(0.265)^2(1-0.265)^{4-2}=0.2276\)Part b
\(P(X\ge2)=P(X=2)+P(X=3)+P(X=4)\)Replacing we got:
\(P(X=2)=(4C2)(0.265)^2(1-0.265)^2=0.2276\)\(P(X=3)=(4C3)(0.265)^3(1-0.265)^1=0.0547\)\(P(X=4)=(4C4)(0.265)^4(1-0.265)^0=0.0049316\)adding the two values we got:
\(P(X>2)=0.2276+0.0547+0.0049316=0.287\)Determine the quotient of 2 over 5 divided by 3 over 4. (2 points)
PLS I NEED HELP FAST PLS
Answers
Answer:
8 over 15
Step-by-step explanation:
you should get a calculator.
Answer:
8/15
Step-by-step explanation:
BRIDGES The lower arch of the Sydney Harbor Bridge can be modeled by g(x) = - 0.0018 * (x - 251.5) ^ 2 + 118 where x in the distance from one base of the arch and g(x) is the height of the arch. Select all of the transformations that occur in g(x) as it relates to the graph of f(x) = x ^ 2
A) vertical compression
B ) translation down 251.5 units C ) translation up 118 units
D ) reflection across the x-axis
E) vertical stretch
F ) translation right 251.5 units G ) reflection across the y-axis
Answers
The transformations that occur in function g(x) as it relates to the graph of f(x) = x² are option B and C
What are the transformations of the function?In the given function, the only transformations that occur in the function g(x) as it relates to f(x) are B and C.
In option B, the translation down 251.5 units: In the original function f(x) = x², the graph is centered at the origin (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term (x - 251.5) causes a horizontal shift to the right by 251.5 units. This means that the graph of g(x) is shifted to the right compared to the graph of f(x). Since the term is subtracted, it has the effect of shifting the graph downwards by the same amount, hence the translation down 251.5 units.
Likewise, in option C, the translation up 118 units: In the original function f(x) = x², the graph intersects the y-axis at the point (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term 118 is added to the expression. This causes a vertical shift upwards by 118 units compared to the graph of f(x). So, the graph of g(x) is shifted upwards by 118 units.
Therefore, the transformations that occur in g(x) as it relates to the graph of f(x) = x²are a translation down 251.5 units and a translation up 118 units.
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Which is a common denominator of 1/4 and 3/5?
Ο Α. 9
OB. 15
O C. 16
OD 20
Answers
Answer:
D 20
Step-by-step explanation:
By use of LCM
the LCM of 4 and 5 is 2 x 2 x 5=20
therefore their common denominator is 20
Consider the absolute value functions cand d.Which statement correctly describes these functions?OA.The minimum value of d is 5 more than the maximum value of c.OB.The maximum value of dis 3 less than the minimum value of aОс.The minimum value of dis 3 more than the maximum value of c.ODThe maximum value of dis 5 less than the minimum value of a
Answers
The correct option is Option A
The minimum value of D is 2, while the maximum value of C is -3.
The minimum value of D is 5 more than the maximum value of C