The expression that shows the combined volume of the three boxes is 3.5x.
The volume of the medium box = x
The small box is half the volume of the medium box.
so,
The volume of the small box = x/2
The large box has twice the volume of the medium box.
so,
The volume of the large box = 2x
The expression that shows the combined volume of the three boxes is:
small box volume + medium box volume + large box volume
= x/2 +x +2x
= 7x/2
= 3.5x
The expression that shows the combined volume of the three boxes is 3.5x.
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Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
What is the y-intercept of function f?
A. 1
B. -1
C. -2
D. 5
Answer:
1
Step-by-step explanation:
The y intercept is when x =0
We need to use the second equation
-x+1 since -2 < 0 <3
0+1
The y intercept is 1
please answer this .I will mark you as brainlist if you the right answer
Answer:
I think the third one is the answer
In 2004, baseball player Lance Berkman had
172 hits out of 544 at bats. What was Lance
Berkman's Batting Average in 2004 rounded to
the nearest thousandth?
Answer:1 thousandth
Step-by-step explanation:
Kennedy took a taxi from.her house tonthe airport. The taxi company charged a pick up fee of $3.20 plus $3.75 per mile. The total fare was $14.45 not including the tip. Write and solve an equation to determine the number of miles in the taxi ride.
Kennedy took a taxi from.her house tonthe airport. The taxi company charged a pick up fee of $3.20 plus $3.75 per mile. The total fare was $14.45 not including the tip. Write and solve an equation to determine the number of miles in the taxi ride.
Answer:
3
Step-by-step explanation:
Add a term to the expression so tha it becomes a perfect square trinomial. Y^2-13y+
The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²
What is meant by a perfect square trinomial?
By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.
A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.
Given expression y² - 13y + ?
Comparing with the general equation
a = 1
b = -13
For perfect square trinomial
b² = 4ac
(-13)² = 4 * 1 * c
169 = 4c
c = 169/4
So the expression becomes,
y² - 13y + 169/4 = (y - 13/2)²
Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.
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Which of the points below correctly plots the point (−2,−5π/3)?
Select the correct answer below:
A
B
C
D
E
F
Answer: F
Step-by-step explanation:
Answer: correct answer is A
Step-by-step explanation:
Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.
I'm putting all my savings into stocks because stocks always outperform other types of investments over the long term
Incomplete question. The full question read;
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.
I'm putting all my savings into stocks because stocks always outperform other types of investments over the long term.
Choose the correct answer below.
A. The statement does make sense because stocks historically outperform bonds and cash over the long term and investing in stocks is high-risk, which offers higher returns.
B. The statement does not make sense because although stocks historically outperform bonds and cash over the long term, investing in stocks is high-risk and there is no guarantee that the investment will yield a high return.
C. The statement does make sense because stocks are a low-risk investment, offering predictable low returns.
D. The statement does not make sense because stocks never outperform bonds and cash over the long term.
Answer:
B. The statement does not make sense because although stocks historically outperform bonds and cash over the long term, investing in stocks is high-risk and there is no guarantee that the investment will yield a high return.
Step-by-step explanation:
Of course, the statement does not make sense because it does clearly say the reality about stocks. By saying "stocks always outperform" other investment types it hides the possibility of losses from stock investments.
For example, a company's stock may be negatively affected as a result of employee layoffs or unexpected company scandals. Hence, there is no guarantee that the investment will yield a high return.
Solve for x: 3x - 1 = -10
3
-3
+
-4
Answer: -3
Step-by-step explanation:
3 × -3 = -9
-9 + -1 = -10
3(-3) - 1 = -10
What color would you see if there was an endless wall of clear glass with no background.
Answer:
Clear
Step-by-step explanation:
I'd probably imagine a bunch of images
1. Three people share 2/3 of a pound of chocolate. How much chocolate does each person get? Identify the division expression (1 point), utilize a model to determine how much chocolate each person gets (4 points), and write a sentence answering the question (1 point).
Answer:1
Step-by-step explanation:
because if it is cut into 2/3 of a chocolate bar then everybody would get 1 half of a chocolate bar and if you divide it that would give you a long number in decimal form so that would give you 1
u
n n
+ + +
=
+ − +
, khi → +∞.
Answer:
45678
Step-by-step explanation:
u
n n
+ + +
=
+ − +
, khi → +∞.
Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
Which of the following is the graph of the function y = (x – 3)2 – 2?
Answer: I’m pretty sure it’s graph A
Step-by-step explanation:
Answer:
D, Last graph
Step-by-step explanation:
After test review, it revealed the answer, but the answer's D. Sorry for the poor explanation!
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST
Answer:
\(n=\frac{5\ln \left(\frac{q}{r}\right)}{\ln \left(q\right)}-2\)
Step-by-step explanation:
Answer:
n = 3
Step-by-step explanation:
I guess you want the value of n
-----------------------------------------------------------
Since n is the index of q, you can simply
ignore all p and r stuff and make it
\(q^{2}\)×\(q^{n}\) = \(q^{5}\)
\(q^{2+n}\) = \(q^{5}\)
2 + n = 5
n = 3
The law of cosines is a² + b² - 2abcosC = c². Find the value of 2abcosC.
A. 20
B. 40
C. 37
D. -40
Answer:
C
Step-by-step explanation:
a = 4
b = 5
c = 2
C = arccos((a² + b² - c²) / 2ab)
C = arccos((16 + 25 - 4) / 2(4)(5))
C = arccos(37 / 40)
C = 22.33°
2abcosC
2(4)(5)cos(22.33)
40(0.925)
37
Option C is correct, if the law of cosines is a² + b² - 2abcosC = c² then the value of 2abcosC is 37.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We have from law of cosines that a² + b² - 2abcosC = c²
We have to find the value of 2abcosC.
Now let us find the value of C
C = arccos((a² + b² - c²) / 2ab)
C = arccos((16 + 25 - 4) / 2(4)(5))
C = arccos(37 / 40)
C = 22.33°
Now plug in the value of C in 2abcosC.
2abcosC
=2(4)(5)cos(22.33)
=40(0.925)
=37
Hence, option C is correct, if the law of cosines is a² + b² - 2abcosC = c² then the value of 2abcosC is 37.
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2. Write an equation of a line in slope-intercept form
that passes through a point (4,-6) and has a slope of -3.
Answer:
y = -3x+6
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = -3x +b
Substitute the point into the equation
-6 = -3*4+b
-6 =-12+b
Add 12 to each side
-6+12 =-12+12+b
6=b
y = -3x+6
what is the definition of direct control in statistics?
Answer:
DIRECT CONTROL. Definition. HOLDING EXTRANEOUS FACTORS CONSTANT SO THAT THEIR EFFECTS ARE NOT CONFOUNDED WITH THOSE OF THE EXPERIMENTAL CONDITIONS. Term.
Find the course and ground speed for the following: Track 090°, airspeed 300km/h; wind 060°, 50km/h.
The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.
What is the ground speed of the plane?The horizontal and vertical component of the airspeed is calculated as follows;
Vx = 300 cos(30) = 259.8 km/h
Vy = 300 x sin(30) = 150 km/h
The horizontal and vertical component of the wind velocity is calculated as follows;
Vx = 50 cos(60) = 25 km/h
Vy = 50 sin(60) = 43.3 km/h
To find the resultant velocity, we can add the x and y components separately:
Vx = 259.8 km/h + 25 km/h = 284.8 km/h
Vy = 150 km/h + 43.3 km/h = 193.3 km/h
The magnitude of the resultant velocity is calculated as;
V = √(284.8² + 193.3²)
V = 344.2 km/h
The direction of the resultant velocity is calculated as;
θ = arc tan (193.3/284.8)
θ = 34.2⁰
The resultant direction to true north is calculated as;
track = 34.2 + 60 = 94.2°
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A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Triangle ABC is a 45*-45*-90* triangle where two vertices are A(-2,2) and B(-2,6) and AB is a leg of the triangle. What are all the possible ordered pairs for C?
Need help on finding g .
The numeric values for this problem are given as follows:
g(-1) = -2.g(2) = 0.g(3) = 0.5.How to obtain the numeric values of the function?The function in this problem is a piecewise function, meaning that it has different definitions based on the input x of the function.
For x between -2 and 2, the function is defined as follows:
g(x) = -(x - 1)² + 2.
Hence the numeric value at x = -1 is given as follows:
g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2.
For x at x = 2 and greater, the function is given as follows:
g(x) = 0.5x - 1.
Hence the numeric values at x = 2 and x = 3 are given as follows:
g(2) = 0.5(2) - 1 = 0.g(3) = 0.5(3) - 1 = 0.5.A similar problem, also featuring numeric values of a function, is given at brainly.com/question/28367050
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which number is IRRATIONAL
Answer:
C the square root of 15
Step-by-step explanation:
sqrt of 15 = 3.87298335...
Brainliest?
Given the equation in standard form, put it in slope-intercept form. Show all work.
25x + 5y = 50
Write a function and use a table and graph to predict when the population will reach 20,000
The formula for exponential growth is expressed as
y = a(1 + r)^t
where
y is the population after t years
ais the initial population
r is the growth rate
t is the number of years
From the information given,
a = 350
r = 14% = 14/100 = 0.14
By substituting these values into the equation, the function to model th growth rate is
y = 350(1 + 0.14)^t
y = 350(1.14)^t
We would substitute values of t into the equation to determine corresponding values of y. We have
For t = 2, y = 350(1.14)^2 = 454.86
For t = 6, y = 350(1.14)^6 = 768.24
For t = 10, y = 350(1.14)^10 = 1297.52
We would plot these values of y on the y axis and the corresponding values of t on the x axis. The graph is shown below
The time when the population will reach 20000 would be the value of x at the point where y = 20000 on the graph. It is around y = 30.87
Thus, the population will reach 20000 in approximately 31 years
We can confirm this by solving the equation. We have
20000 = 350(1.14)^t
20000/350 = 1.14^t
57.14 = 1.14^t
Taking natural log of both sides, we have
ln 57.14 = ln1.14^t = tln1.14
t = ln 57.14/ln1.14
t = 30.87505
The number 2/5 is both an blank and an blank
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′: Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4
Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.
In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.
For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.
To find the image of point E under this translation, you can apply the same translation to point E:
Point E is located at (5, 5).
The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).
You can follow the same process to find the images of the other points under the translation.
Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.
In this case, the translation vector is given by the displacement from point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).
To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:
Point E is located at (5, 5).
The translation vector is (-8, -7).
The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).
You can follow the same process to find the images of the other points under the translation.
Step-by-step explanation:
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
food concession owner in a mall sold 120 beef, vegetable and pork sliders in 7 days. 20% of the sliders sold were beef and 15% were vegetable. How many pork sliders were sold?
The number of pork sliders sold is given as follows:
24 pork sliders.
How to obtain the number of pork sliders sold?The number of pork sliders sold is obtained applying the proportions in the context of the problem.
The total number of pork sliders is given as follows:
120 pork sliders.
The percentage of pork sliders sold is given as follows:
20%. (proportion of 0.2).
Hence the amount sold is given as follows:
0.2 x 120 = 24 pork sliders.
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Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
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