The company earned 68 billion dollars from 2008 to 2018.
According to the statement
we have given that the company's particular sales in expression are represented by (t² + 10t + 68)
And we have to find the constant terms in this expression which represent the sale of the company.
So, The given expression is (t² + 10t + 68)
From above expression it is clear that the it is in the form of Quadratic Equations.
So, The Quadratic equation, is an equation containing a single variable of degree 2. Its general form is ax^2 + bx + c = 0, where x is the variable and a, b,c are the known numbers and C is the Constant.
The general representation of Quadratic equation is
ax^2 + bx + c = 0 -(1)
and the given expression are
(t² + 10t + 68) -(2)
After comparing both equations
Here C =68 = Constant.
So, 68 is the Constant term of the expression represent in terms of the context.
Learn more about Quadratic Equation here https://brainly.com/question/1214333
Disclaimer: The question was incomplete. Please find the full content below.
Question:
A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 10t + 68, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context?
The company earned 68 billion dollars from 2008 to 2018.
The company earned 68 billion dollars in 2008.
The company earned 10 billion dollars from 2008 to 2018.
The company earned 10 billion dollars in 2008.
#SPJ4
Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
Answer:
444
Step-by-step explanation:
There are 9 surfaces to this shape. You find the area of each shape:
Bottom rectangle (16)(5) =80
Front rectangle (16)(4) = 64
Back rectangle (16)(4) = 64
Right side rectangle (5)(4) = 20
Left side rectangle (5)(4) = 20
Top right rectangle (10)(5) = 50
Top left rectangle (10)(5) = 50
Front top triangle (1/2)(16)(6) = 48
Back top triangle (1/2)(16)(6) = 48
Solve the equation. Give your simplified answer as an improper fraction.
 -(x-1)+10 = -3(x-2)
The volume of the cylindrical water tank shown below is 490π feet^3. If the tank is 10 feet high, what does its radius r equal?
The cylindrical water tank with a volume of 490π feet³, and a height of 10 feet, has a radius of 7 feet.
The volume of a cylinder having a radius of r units, and a height of h units, is given by the formula, V = πr²h.
In the question, we are asked to find the radius (r), of a cylindrical water tank, with a volume of 490π feet³, and a height of 10 feet.
Substituting the value of V = 490π feet³, and h = 10 feet, in the formula for the volume of a cylinder, V = πr²h, we get:
490π feet³ = π.(r²)(10 feet).
Rearranging this, we can write:
r² = (490π)/(10π) feet²,
or, r² = 49 feet²,
or, r = √49 feet,
or, r = 7 feet.
Thus, the cylindrical water tank with a volume of 490π feet³, and a height of 10 feet, has a radius of 7 feet.
Learn more about the volume of a cylinder at
https://brainly.com/question/9554871
#SPJ1
the product of 1540 and m is a square number. find the smallest possible value of m
Answer:
Step-by-step explanation:
the smallest value is 96.25 or rounded to the nearest whole number it is 96
what i did was put in my calculator 1540 divided by 4^2 because it is squared and has 4 sides
The value of a company’s stock is represented by the expression x2 – 2y and the company’s purchases are modeled by 2x 5y. the company’s goal is to maintain a stock value of at least $5,000, while keeping the purchases below $1,000. which system of inequalities represents this scenario? x2 – 2y > 5000 2x 5y < 1000 x2 – 2y > 5000 2x 5y ≤ 1000 x2 – 2y ≥ 5000 2x 5y < 1000 x2 – 2y ≤ 5000 2x 5y ≤ 1000
Answer:
answer is (c)
May it help you
Option C. The inequality can then be written as x² - 2y ≥ 5000 and 2x + 5y <1000
How to write the inequality
Stock = x² - 2y
Purchase = 2x + 5y
Stock is said to be at least 5000 dollars. We can write this as
x² - 2y ≥ 5000
Then the purchase is said to be below 1000. This is written as 2x + 5y <1000
The inequality can then be written as x² - 2y ≥ 5000 and 2x + 5y <1000
Read more on inequalities here: https://brainly.com/question/25275758
#SPJ1
On a coordinate plane, a line goes through (0, 1) and (5, 0). what is the equation of the line that is perpendicular to and has the same y-intercept as the given line? y = one-fifthx 1 y = one-fifthx 5 y = 5x 1 y = 5x 5
Answer: [tex]y=5x+1[/tex]
Step-by-step explanation:
The slope of the given line is
[tex]\frac{1-0}{0-5}=-\frac{1}{5}[/tex]
Since perpendicular lines have slopes that are negative reciprocals, the slope of the line we want to find is 5.
Since the y-intercept is (0,1), the equation is [tex]y=5x+1[/tex].
Answer: the answer is c
Alan,becky and charlie share 72 sweets in the ratio 2:3:4. howmany sweets do they each receive?
Answer:
alan = 2 = 2x = 16
becky = 3 = 3x = 24
charlie = 4 = 4x = 32
Step-by-step explanation:
add 2 3 4 =
9
72 ÷ 9 = 8
alan = 2 = 2x = 16
becky = 3 = 3x = 24
charlie = 4 = 4x = 32
HELP HELP HELP HELP
HELP HELP HELP HELP
I didn't quite get what u meant by exponential form of the function but here
HELP ASAP THANK YOU!)
In order to hang a block of gold from a chain necklace, a jeweler drilled a hole in the center, 5 mm in diameter the original block of gold.
If the original block of gold was 27 mm long, 8 mm wide, and 12 mm high, find the volume of the remaining piece of gold to the nearest tenth cubic millimeter.
(The answer choices are below)
Answer:
2061.9[tex]mm^{3}[/tex]
Step-by-step explanation:
We can see the original shape of the gold block is a cuboid.
Volume of Cuboid = Length x Width x Height
Volume of Original Gold Block = 27mm x 8mm x 12mm = [tex]2592mm^{3}[/tex]
Next, we can see the shape of the cut-out hole is a cylinder.
Volume of Cylinder = [tex]\pi r^{2} h[/tex]
We know that r = 0.5 x diameter = 0.5 x 5 = 2.5mm
Volume of cut-out hole = [tex]\pi (2.5)^{2} (27)\\[/tex] = [tex]168.75\pi mm^{3}[/tex]
Volume of Remaining Gold Block = Volume of Original Gold block - Volume of cut-out hole
= [tex]2592mm^{3} -168.75\pi mm^{3}[/tex]
= 2061.9[tex]mm^{3}[/tex]
Practice with Laws of Logic
Provide the valid conclusion to the argument below.
If I am sick, then I will not come to school.
If I do not come to school, then I am sad.
Answer:
if I am sick, then I will not come to school.
Step-by-step explanation:
On a hike, Maria walked up a hill in 30 minutes, and then she ran back down the hill in 10 minutes. Which of the following graphs could model the total distance Maria hiked?
The graph that describes the motion of Maria is the graph in Option B.
What is displacement?Displacement is the term that is used to describe the distance covered in a specified direction.
We are told that Maria walked up a hill in 30 minutes, and then she ran back down the hill in 10 minutes. The graph that describes this motion is the graph in Option B.
Learn more about graph of motion:https://brainly.com/question/19850289
#SPJ1
Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
Learn more about the perimeter of a triangle at
https://brainly.com/question/3757003
#SPJ4
For the complete question, refer to the attachment.
Convert each rate using dimensional analysis. round to the nearest tenth, if necessary. 4.5 qt / min = ____ gal / h a. 67.5 c. 56.3 b. 33.8 d. 65
Option a is correct.
What is dimension analysis?
Dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities and units of measure and tracking these dimensions as calculations or comparisons are performed.
We can convert qt/min to gal/h as shown below:
1 qt = 0.25 gallon
1 min = 1/60 hour
4.5 qt/min = (4.5*0.25)/ (1/60) gal/h
= 4.5*0.25*60 gal/h
= 67.5 gal/h
Hence option a is correct.
Learn more about Conversion here:
https://brainly.com/question/2551466
#SPJ4
which rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities
The multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.
What is the multiplicative rule?The multiplication rule is a method for calculating the likelihood of two events occurring at the same time (this is also one of the AP Statistics formulas). There are two rules for multiplication. P(A B) = P(A) P(B|A) is the general multiplication rule formula, while P(A B) is the specific multiplication rule (A and B).The multiplication rule is the multiplication of one event's probability by the likelihood of another occurrence. The law of independent assortment, Mendel's second law, stipulates that alleles of one gene segregate into gametes independently of alleles of another gene.Therefore, the multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.
Know more about the multiplicative rule here:
https://brainly.com/question/17272828
#SPJ4
Abigail is investing in the stock market and has a maximum budget of $6,300 with which to purchase stock in two promising companies. stock in the software company currently sells for $42 per share. stock in the robotics company is currently trading at $8 per share. write the inequality in standard form that describes this situation. use the given numbers and the following variables
Answer:
The equation is 21x+4y<3150
Step-by-step explanation:
This question can be understood by the concept of inequalities.
Let x be the number of stocks of software company and y be the number of stocks of robotics company purchased.
Money invested in 1 stock of software company = $42
Money invested in 1 stock of robotics company = $8
Total expenditure on software company stock = 42*x
Total expenditure on robotics company stock = 8*y
So the total expenditure should be less than 6300
Hence the equation is
42x+8y<6300
21x+4y<3150
To learn more about inequalities visit https://brainly.com/question/24372553
#SPJ4
The cost of a fan is Rs 1,600. If Mrs. Khadka purchased it with 13% VAT, how muc did she pay for it?
Answer:
Rs 1808
Step-by-step explanation:
Sp=Selling price
Mp=main price
Sp=Mp+Mp*VATSp=Rs 1600+Rs 1600*13%Sp=Rs 1600+Rs 208Sp=Rs 1808Can someone help me with this pls
Answer:
x = 1/3 or x = -2/3
Step-by-step explanation:
Let's solve your equation step-by-step.
9x2+3x−2=0
For this equation: a=9, b=3, c=-2
9x2+3x+−2=0
Step 1: Use quadratic formula with a=9, b=3, c=-2.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(3)\pm\sqrt{(3)^2-4(9)(-2)} }{2(9)}[/tex]
[tex]x=\frac{-3\pm\sqrt{81} }{18}[/tex]
x = 1/3 or x = -2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{What is the quadratic formula?}[/tex]
[tex]\rm{x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]
[tex]\textsf{Or even}[/tex]
[tex]\rm{ax^2 + bx + c = 0}[/tex]
[tex]\huge\textbf{What are we looking for?}[/tex]
[tex]\rm{9x^2 + 3x - 2 = 0}[/tex]
[tex]\huge\textbf{What are the labels in the equation?}[/tex]
[tex]\mathsf{a \rightarrow 9}\\\\\mathsf{b\rightarrow 3}\\\\\mathsf{c \rightarrow -2}[/tex]
[tex]\huge\textbf{Solving for your equation:}[/tex]
[tex]\rm{x = \dfrac{-(3)\pm \sqrt{3^2 - 4(9)(-2)}}{2a}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\rm{x = \dfrac{-3\pm \sqrt{81}}{18}}[/tex]
[tex]\rm{x = \dfrac{1}{3}\ or\ x = - \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{\mathsf{x} = \dfrac{1}{3}\ or\ \mathsf{x} = - \dfrac{2}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I drive from town a to my home and then to town b. the journey time is 50 minutes what is the average speed?
The average speed can be shown as (A + B)/50 miles per minute, where the distance between town A and his home is A miles, and that from his home to town b is B miles, and the total time is 50 minutes.
The average speed of any object is given as the ratio of the total distance traveled by the body, to the total time taken.
Average Speed = Total Distance/Total Time.
In the question, we are informed that the person drove from town a to his home and then to town b, with the total journey time as 50 minutes.
We are asked to find the average speed of the person.
We assume the distance from town a to his home to be A miles.
We assume the distance from his home to town b to be B miles.
Thus, the total distance traveled = A + B miles.
The total time taken by the person is given to be 50 minutes.
We know that the average speed of any object is given as the ratio of the total distance traveled by the body, to the total time taken.
Thus, the average speed of the person can be shown as:
Average Speed = (A + B)/50 miles per minute.
Thus, the average speed can be shown as (A + B)/50 miles per minute, where the distance between town A and his home is A miles, and that from his home to town b is B miles, and the total time is 50 minutes.
Learn more about the average speed at
https://brainly.com/question/15721515
#SPJ4
The sum of the series below is 10,900. how many numbers, n, are in the series? 19 20.5 22 23.5 ... 181
There are 109 terms in given series.
According to the statement
we have given that the sum of series is AP series and
This is 19 20.5 22 23.5 ... 181
And the sum of series is 10,900
Now, we have to find the number of terms in the series.
Then we use the summation formula which is
S = n/2 (a + L)
Substitute the all given values in it like
L = 181
A = 19 and S= 10,900
then
10,900= n/2(19+181)
10,900= n/2(200)
After solve the equation for n
10,900= 100n
n = 10,900 / 100
n = 109
There are 109 terms in given series.
So, There are 109 terms in given series.
Learn more about SERIES here https://brainly.com/question/6561461
#SPJ1
A sphere and a cylinder have the same radius and height. The volume of the cylinder is . Amie found the volume of the sphere. Her work is shown below. What is Amies error
Amie's error while measuring the volume of a sphere is that Amie should have multiplied 54 by 2/3. Thus, the first option is the right choice.
In the question, we are given that a sphere and a cylinder have the same radius and height.
We assume the radius of the sphere to be r, and its height to be h.
Now, the height of a sphere is its diameter, which is twice the radius.
Thus, the height of the sphere, h = 2r
Given that the sphere and the cylinder have the same radius and height, the radius of the cylinder is r, and its height is 2r.
The volume of a sphere is given by the formula, V = (4/3)πr³, where V is its volume, and r is its radius.
Thus, the volume of the given sphere using the formula is (4/3)πr³.
The volume of a cylinder is given by the formula, V = πr²h, where V is its volume, r is its radius, and h is its height.
Thus, the volume of the given cylinder using the formula is πr²(2r) = 2πr³.
Now, to compare the two volumes we take their ratios, as
Volume of the sphere/Volume of the cylinder
= {(4/3)πr³}/{2πr³}
= 2/3.
Thus, the volume of the sphere/the volume of the cylinder = 2/3,
or, the volume of the sphere = (2/3)*the volume of the cylinder.
Given the volume of the cylinder to be 54 m³, Amie should have multiplied 54 by 2/3 instead of adding the two.
Thus, Amie's error while measuring the volume of a sphere is that Amie should have multiplied 54 by 2/3. Thus, the first option is the right choice.
Learn more about volumes at
https://brainly.com/question/12398192
#SPJ4
For the complete question, refer to the attachment.
pls help me out lol
Answer:
Step-by-step explanation:
I'm not entirely sure that this is correct, but it seems so to me from what I've read.
The Coordinate system uses N,S,E,W to denote plus and minus. N (north) and E (east) are plus, and S (south) and W (west) are minus. North is + y and S is - y. E (east is plus x W is minus x)
(4,-7) = 4 east 7 south is what I would use as my answer.
Georgie buys a pack of chocolate which has 18 small chocolate bars. She ate three bars in the morning, Later in the
day, Georgie's brother ate three fifth of the chocolates bar that were left, what fraction of the chocolate bars is left in
the packet?
Here's a Question for you! Solve for Reasoning
Step-by-step explanation:
3) Triangle QTR is similar to triangle STP (AA)
4) RT/PT = QR/PS (corresponding sides of similar triangles are proportional)
Your ship has steamed 1651 miles at 20 knots using 580 tons of fuel oil. The distance remaining to your next port is 1790 miles. If you increase speed to 25 knots, how much fuel will be used to reach that port
The 680 tons of fuel needed to cover the next 1790 miles distance.
According to the statement
We have given that the ship covered a 1651 miles distance at 20 knots by a 580 tons of fuel oil.
And distance remaining to next port is 1790 miles and speed increases to 25 knots.
And we have to find that how much fuel used to reach that port.
So, Distance covered = 1651 mile
fuel used = 580 tons
distance covered with 1 tons fuel = 1651/580
distance covered with 1 tons fuel = 2.85 mile at a speed of 20 knots.
so, The fuel consumption for 1790 mile is = 1790/2.85
The fuel consumption for 1790 mile is = 628 tons of fuel needed.
So, The 680 tons of fuel needed to cover the next 1790 miles distance.
Learn more about Distance here https://brainly.com/question/1872885
#SPJ4
Jaime currently pays $60 a YEAR for his Amazing Primo membership,
which allows him to rent movies for $2.25 each. However, he finds out that
with a Netflakes membership he could rent each movie for only $1.00. If
Netflakes charges $15 a MONTH for membership, how many movies
would Ricardo have to rent each month for a Netflakes account to be
cheaper overall than having Amazing Primo?
8
24
23
9
15
Answer:
9
Step-by-step explanation:
Let x = # of movies Jamie watches in a month. 5 + 2.25x represents the monthly cost of Amazing Primo, and 15 + x represents the monthly cost of Netflakes.
5 + 2.25x > 15 + x
1.25x > 10
x > 8
Jamie must watch more than 8 movies each month for the Netflakes account to be cheaper overall.
(-1/2 - 1/8) + (3/4 + 5/6) A.1/12
Answer:
23/24
Step-by-step explanation:
Let's convert all the fractions to a common denominator
(-12/24 - 3/24) + (18/24 + 20/24)
Combine like terms and you get 23/24
Can someone help me please
Answer:
10. 20.9°
11. 73.2°
Step-by-step explanation:
The inverse sine function is used to find the angle from its sine value.
10.In each case, the equation is of the form ...
a/sin(x) = b/c
Multiplying both sides by c/b·sin(x), we find the solution is ...
sin(x) = ac/b . . . . . find sin(x)
x = arcsin(ac/b) . . . . . find the corresponding angle
For the given values a=7.2, b=13, c=sin(40°), we have ...
x = arcsin(7.2sin(40°)/13) ≈ 20.9°
11.For the given values a=6.53, b=√40, c=sin(68°), we have ...
x = arcsin(6.53sin(68°)/√40) ≈ 73.2°
a triangle has two sides of length 2 and 5 and that the angle between these two sides is 60 degrees, what is the length of the third side of the triangle
The length of the third side of the triangle is 4. 33
How to determine the side
We have the length of the two sides to be;
2 and 5
If the angle between them is 60 degrees, then the third side is the opposite side
To find the opposite side, we use the sin ratio, which is
sin 60 = opposite/hypotenuse
sin 60 = x/ 5
Cross multiply
sin 60 × 5 = x
x = 0. 8660 × 5
x = 4. 33
Thus, the length of the third side of the triangle is 4. 33
Learn more about a triangle here:
https://brainly.com/question/1475130
#SPJ1
What is the solution of startfraction 1 over c minus 3 endfraction minus startfraction 1 over c endfraction = startfraction 3 over c (c minus 3) endfraction?
The solution of the given equation can be all real numbers, except c = 0 and c = 3.
Lets simplify the given problem,
1/c-3 - 1/c = 3/ (c-3)
As the denominators cannot be equal to zero (0) because a division by zero (0) is undefined.
Next, we would multiply both sides of the given by the lowest common multiple (LCM).
The lowest common multiple (LCM) is c(c - 3).
c-[c-3] = 3
c-c+3 = 3
0 = 3-3
0=0
Therefore, the solution of the given equation can be all real numbers, except c = 0 and c = 3.
Learn more about Fractions on:
brainly.com/question/368260
#SPJ4
41. The Puuur Place builds customized cat trees for pet owners. The basic tree is $100 and each additional platform, perch, or toy costs $50. Meow Now also builds customized cat trees. Their basic cat tree starts at $50 and each additional piece costs $75.
[A] Write and solve a system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store.
[B] Solve this system of equations and show your work.
[C] Reggie wants to purchase a cat tree for his pets. Based on your work, explain which store would be cheaper depending on how many add-ons he wants to purchase.
The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;
y = 50x + 100 ------(eq 1)
y = 75x + 50 ------(eq 2)
How to Solve Simultaneous Equations?A) Let the total cost of the cat tree be y
Let each additional piece added be x.
Since basic tree is $100 and each additional platform costs $50, then we can say that;
y = 50x + 100 ------(eq 1)
Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;
y = 75x + 50 ------(eq 2)
B) Subtract eq 1 from eq 2 to gte;
25x - 50 = 0
25x = 50
x = 50/25
x = 2
y = 75(2) - 50
y = $100
C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.
Read more about Simultaneous Equations at; https://brainly.com/question/148035
#SPJ1