Answer:
where are the limit questions?
11. The exponential function given by H(t)=80,030.83(1.0481)t, where t is the number of years after 2010, can be used to project the number of centenarians in a certain country. Use this function to project the centenarian population in this country in 2013 and in 2038.
A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The exponential function that can be used to project the number of centenarians in a certain country is [tex]H(t) = 80,030.83(1.0481)^t[/tex].
Now, the number of centenarians in the country in 2013 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}[/tex]
Also, the number of centenarians in the country in 2038 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}[/tex]
Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
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in 130,426 the digit 2 is in the _____ place?
SOMEONE I NEED HELP PLS HELP ME!!
Answer:
PQ = 6 units
Step-by-step explanation:
note that the y- coordinates of P and Q are both - 7
then PQ is the difference in the x- coordinates, that is
PQ = | 7 - 1 | = | 6 | = 6
or PQ = | 1 - 7 | = | - 6 | = 6
Tops corporation is organized into two divisions, manufacturing and marketing. both divisions are considered to be profit centers and the two division managers are evaluated in large part on divisional income. the company makes a single product. it is fabricated in manufacturing and then packaged and sold in marketing. there is no intermediate market for the product.
the monthly income statements, in thousands of dollars, for the two divisions follow. production and sales amounted to 10,000 units.
manufacturing marketing
revenues $ 3,000 $ 5,000
variable costs 2,400 3,700
contribution margin $ 600 $ 1,300
fixed costs 500 800
divisional profit $ 100 $ 500
Top company would accept the order as it increases the total profit of the corporation by $90000
How to illustrate the information?As a company as a whole, Tops corporation will accept orders if the contribution margin increases by accepting orders.
a. The contribution margin will be:
= sales price - variable cost of manufacturing department - variable cost of marketing department
= $400 - [$2400*1000/10000units] - $70
= $400 - $240 - $70
= $90
Therefore, the increase in profit will be:
= $90 × 1000
= $90000
Top company would accept the order.
b. The marketing department will accept the order as it increases its profit by $400000-$370000 = 30000.
c. The manufacturing division manager would accept the order as it increases its profit by $60000. This was gotten as:
= (300 × 1000) - (240 × 1000)
= 300000 - 240000
= 60000
The other parts of the question include:
The company has just received an offer to buy 1,000 units of the product this month at a price of $400 per unit. The Marketing Division manager suggests that for the special order only, the transfer price be set at 50 percent of the sales price, or $200 per unit. Instead, assume the transfer price is unchanged from the current transfer price.
Required:
a. Does Tops Corporation want to accept this order?
b. Will the Marketing Division manager be willing to accept this order?
c. Will the Manufacturing Division manager be willing to accept this order?
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YOUR HELP WOULD BE MUCH APRECIATED!!!!!!!!!
[tex]y = 4^{-2}[/tex] = [tex]\frac{1}{16}[/tex]
[tex]y = 4^ {1}[/tex] = [tex]\\ 4[/tex]
[tex]y = 4^{3}[/tex] = [tex]\\ 64[/tex]
Use the Commutative Property of
Multiplication to write a related
number sentence.
4 X 5 = 20
Answer:
5*4= 20
Step-by-step explanation:
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
4*5 = 20
We can change to order and the result is still the same
5*4= 20
Answer:
so just think of it as you drawing circles with the number of shapes in each one like 4x6=24 draw 6 big circles and 4 squares in each one or in this case do it with 4x5
Step-by-step explanation:
2. If A and B are square matrices of the same order, then (A + B) (A - B) is equal to (a) A²– B² (b) A– BA – AB - B² (c) A² - B² + BA – AB (d) A² - BA +B+ AB
Correct option is C) A² - B² + BA – AB
Step-by-step explanation:
(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.
=A² + BA - AB - B²
And as matrix product is not commutative, so AB¦=¦BA
Hence option C is correct.
if you were asked to convert the complex number, -6 + 8i, into polar form, what values of “r” and “0” would be in polar form?
Answer:
10∠126.87°
r = 10; θ = 126.87°
Step-by-step explanation:
The coordinate conversion from (x, y) or (x +yi) to (r; θ) can be done using the relations ...
r = √(x² +y²)
θ = arctan(y/x) . . . . paying attention to quadrant
__
For the given complex number, we have ...
r = √((-6)² +8²) = √(36 +64) = √100 = 10
θ = arctan(8/(-6)) = arctan(-4/3) . . . . in the 2nd quadrant
θ ≈ -53.13° +180° = 126.87°
The equivalence is ...
-6 +8i ⇔ 10∠126.87° . . . . . in the form r∠θ
_____
Additional comment
Many scientific and graphing calculators are equipped to work with complex numbers, including their conversion to or from polar form.
8. Sabrina works in a restaurant. The dessert of the day is a slice of apple pie. Today, Sabrina served 33 slices of pie to her customers.
If there are 8 slices per pie, how many pies did Sabrina serve today? Write your answer as a mixed number.
with solutions
Please help thank you
Step-by-step explanation:
33÷8= 4 with one left over
4 and 1/8 is your mixed number!
A recipe for bread uses 5 cups of white flour and 3 cups
of wheat flour. How many more cups of white flour than
wheat flour are used in the recipe? Write an equation and
complete the bar diagram to solve.
A. Determine the length of Seneca between Mesa and La Paz Dr.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
B. Determine whether the driver on Seneca Street was traveling within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
C. Determine the maximum length of the skid marks left on Seneca Street by a car that travels within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
SHOW YOUR WORK!
The length of Seneca between Mesa and La Paz Dr is = 144ft.
The driver of the Seneca Street was driving at 0.75 mi/hr therefore he was with the speed limits.
The maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is = 144ft
Calculation of car speed limitsTo determine the length of Seneca, the various lengths of Mesa and La Paz Dr is used;Length of Mesa (a)= 308ft
Length of La Paz Dr (c)= 340ft
Length of Seneca =b
Using Pythagorean theorem,
c²= a² + b²
340²= 308² + b²
make b the subject formula,
b² = 340² - 308²
b² = 115,600 - 94,864
b²= 20736
b = √20736
b = 144ft.
To determine the if the driver at Seneca Street was driving at speed limit;The speed limit within the Seneca road(s) = 50mi/h
The coefficient of friction (f) based on the surface material = 0.7 (asphalt).
The distance covered by the car = 144ft to miles = 144/5280 = 0.027.
Therefore the speed of car(s)
=√30fd
= √30 × 0.7× 0.027
= √0.567
=0.75 mi/hr
To determine the maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is the same with the length of Seneca. which is = 144ft.Learn more about speed here:
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Convert the fractions to decimals
Answer:
0.333333...
Step-by-step explanation:
2/6 = 1/3 = 0.33333...
You can divide on paper or on a calculator 2÷6 or 1÷3 to find this. If you are allowed to use a calculator and your calculator has F>D and D>F buttons they are for converting decimals and fractions back and forth. On paper, you are doing like a long division calculation. Put 2 inside the little dividing frame and put 6 on the outside. Or 1 inside and 3 outside. See image.
What is the solution of log3x-2 4096=3
A rectangle has a perimeter of 60m. Find the
length of the rectangle if its breadth is
12m
Attendance at a state park throughout the year is found to be periodic and can be modeled by a
sine function. The attendance ranges from a low of approximately 1,000,000 visitors in September
to a high of approximately 2,000,000 visitors in March. If t is the month number, where t = 1 is January, and N(t) is the attendance, in millions, of visitors, which of the functions can be used to
model this behavior?
N(t) = 1.5 sin(t) + 0.5
N(t) = 0.5 sin(t) +1.5
N(t) = 2 sin ( ₹t) – 1
N(t) 0.5 sin(2t) + 1.5
The sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
We know the sine function is:
y = Asin(w + c) + s
Here:
A is amplitude
w is angular velocity,
s is vertical Displacement,
c = phase angle
A = (2000000 - 1000000) /2 = 500,000
w = 2π/T
T = 12
w = 2π/12 = π/6
s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000
500,000sin(π/6 + 0) + 1500000
500000sin(π/6)+1500000
or
0.5sin(πt/6) + 1.5
Thus, the sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
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{20, 25, 19, 18, 21, 24, 15, 25} What is the mean of the data set? Make sure to show ALL of your work
Answer:
20.875
Step-by-step explanation:
Mean is to add up the scores then divide by the number so 20 + 25 + 19 + 18 + 21 + 24 + 15 + 25 which is 167 then divide by 8 which is 20.875
Round 418 to the nearest ten.
Answer:
The answer should be 420.
~
Step-by-step explanation:
For this problem, a non-integer answer should be entered as a fraction in simplest form using / as the fraction bar. malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of the two numbers he picks is odd and less than 5. what is the probability that the sum of the two numbers malik picks is less than 5, given that the first number is odd and less than 5?
Based on the numbers that Malik can pick and the condition of the sum being less than 5, the probability of this happening is 2/9.
What is the probability that Malik's number are less than 5 when added?The first number that Malik picked is an odd number less than 5 which makes it with 1 or 3.
In order for the two number to be less than 5 when added, the numbers to be picked have to be:
1 and 21 and 33 and 11 and 1These are 4 possibilities out of a total of 18 possibilities so the probability is:
= 4 / 18
= 2 / 9
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Answer:
See image
Step-by-step explanation:
Plato
Find the surface area of the triangular prism shown below.
Using Euler's formula, how many
edges does a polyhedron with 4
faces and 4 vertices have?
[?] edges
The number of edges of a polyhedron with 4 faces and 4 vertices will be 6.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Using Euler's formula, the number of the edges does a polyhedron with 4 faces and 4 vertices have
We know the formula for the edges of the polyhedron will be
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
4 + 4 = E + 2
E = 8 - 2
E = 6
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A sphere with a 2-inch radius is packed in a cube so that all sided touch. How much empty space is left in the cube?.
The volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a sphere with a 2-inch radius is packed in a cube so that all sided touch.
The volume of the sphere = (4πr³)/3 = (4π(2)³)/3 = 33.51 cubic inches
The side length of the cube = 4 inches
Because diameter of the sphere is 4 inches and all sided touch to the cube face.
Volume of the cube = 4³ = 64
The volume of the empty space = 64- 33.51 = 30.49 cubic inches
Thus, the volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
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A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?
Answer:
For the child 8 in.,
for the image(B) 9 1/4in
Step-by-step explanation:
Answer:
B. 9 1/4
Step-by-step explanation:
Covert 1/2 into 4ths.
3 2/4 + 5 3/4= 7 5/4 = 9 1/4
Hope this helps
i need help on this please
Answer:
C
You have to use radius not the diameter
Write an equivalent expression by distributing the "-−" sign outside the parentheses:
8.9r-(-5s-10)
Answer:
8.9r + (5s + 10)
actually the parenthesis aren't necessary...
8.9r + 5s + 10
Step-by-step explanation:
You can change a subtraction to addition if you change the second term to the opposite sign. This problem is like advanced mode of "Add the Opposite"
8.9r - (-5s - 10)
= 8.9r + (+5s + 10)
= 8.9r + (5s + 10)
= 8.9r + 5s + 10
Three times a number decreased by 2 equals forty
Answer:
14
Step-by-step explanation:
40 plus 2 is 42
42 divided by 3 is 14
4 1/3
What is the value of this equation?
Answer:
4.33
Step-by-step explanation:
1/3=0.33 recuring
4 just eqauls 4
so you add 0.3 recuring to 4
and depending on significant figures it wants you round it ill assume it wants 3 and go 4.33
The first rule is add 2 starting from 0. The second rule is add 6 starting from 2. What is the third ordered pair using the terms in each sequence?
(6, 20)
(2, 8)
(8, 26)
(4, 14)
Answer:
I think it would be 2,8
Step-by-step explanation:
hope it helps u
(√3+√7) (√3-√7) pl and me
[tex]\left( \sqrt 3 + \sqrt 7\right) \left( \sqrt 3 - \sqrt 7\right)\\\\=\left(\sqrt 3 \right)^2 - \left(\sqrt 7 \right)^2\\ \\=3-7\\\\=-4[/tex]
Answer:
- 4
Step-by-step explanation:
([tex]\sqrt{3}[/tex] + [tex]\sqrt{7}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] )
each term in the second factor is multiplied by each term in the first factor.
[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) + [tex]\sqrt{7}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) ← distribute parenthesis
= 3 - [tex]\sqrt{21}[/tex] + [tex]\sqrt{21}[/tex] - 7 ← collect like terms
= - 4
find the volume of a rectangular prism with a length of 4 inches and a width of 7 inches and a height of 11 inches
Answer:308
Step-by-step explanation:Multiply 4*7*11
P is a rectangle with length 80 cm and width x cm.
q is a rectangle with width y cm.
p
the length of q is 25% more than the length of p.
the area of q is 20% less than the area of p.
work out the ratio x:y
give your answer in its simplest form.
x cm
80 cm
:
q
y cm
The ratio of x and y will be equal to x:y = 25:16
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
We know that
The length of Q is 25% more than the length of p
length Q=1.25 x 80--------> 100 cm
The area of Q is 20% less than the area of p
Area Q=100 x y
Area P=80 x x
100 x y=0.80 x [80 x x]---------> 100 x y = 64 x x-------> x/y=100/64--> 25/16
Therefore the ratio of x and y will be equal to x:y = 25:16
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Answer:
25:16
Step-by-step explanation:
