Part a:Cell phone usage grew about 23% each year from 2010 to 2016. If cell phone usage in 2010 was 43 million, write a function f(x) to model U.S. cell phone usage over that time period, where x is the number of years since 2010.
Part b estimate the cell phone usage in 2013.round to the nearest ten thousand.
Answer:
The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.
Step-by-step explanation:
prishna and marc 16 miles per hour and 12 miles per hour
Write down the complex number that has a real part 0 and an imaginary part ✓11
Answer:
0 + 11i
Step-by-step explanation:
A complex number is a number in the form a + bi, where a is the real part and b is the imaginary part. In this case, the real part is given as 0 and the imaginary part is given as 11. Therefore, the complex number is:
0 + 11i
where 0 is the real part and 11i is the imaginary part.
Ada left home for school at 6:50am and got to school at 7:15am.
How many minutes does it take him to get to school?
Answer:
25 min
Step-by-step explanation:
60-50=10
10+15=25
Step-by-step explanation:
from 6:50am to reach 07:00 it takes 10min and he reach at 07:15am means another 15 min added10min + 15 min=25minThe radius of a sphere is decreasing at a constant rate of 6 feet per second. At the instant when the volume of the sphere is 163 cubie feet, what is the rate of change of the volume? The volume of a sphere can be found with the
cquation V =4/3pi r^3. Round your
The rate of change of the volume is 871.2 ft³/sec
What is rate of change of volume?Rate of change of volume is the change in volume with time.
The rate of change of radius is 6 feet per second.
rate of change in volume = dv/dt
rate of change in radius = dr/dt
to find radius of the sphere;
V = 4/3 πr³
163 = 4/3 x3.14r³
r³ = 163× 3)/4×3.14
r³ = 488/12.56
r³ = 38.85
r = 3.4 feet
therefore
dr/dt = 1/4πr² × dv/dt
= 6 = 1/4×3.14× 3.4² × dv/dt
dv/dt = 6×4× 3.14× 3.4²
dv/dt = 871.2 feet³ per second
therefore the rate of change of the volume is 871.2 feet³ per second
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This shape is made using three semicircles.
The smaller semicircles have diameters of 10 cm.
10 cm
Calculate the shaded area.
Take to be 3.142 and write down all the digits given by your calculator.
The shaded area is 157.1 square cm
How to determine the shaded areaFrom the question, we have the following parameters that can be used in our computation:
Diameter = 10 cm
So, the area of the small semicircles is
Area = 1/2π(d/2)²
This gives
Area = 1/2π(10/2)²
Evaluate
Area = 25/2π
For the big semicircle, we have
Area = 1/2π(D/2)²
Area = 1/2π(20/2)²
So, we have
Area = 50π
i.e.
Area =50 * 3.142 = 157.1
This represents the shaded area because the small semicircles cancel out
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Interpret the rate of change and initial value from this graph . I really really appreciate your help! Thank you so much .
Answer:
Initial value=50
Rate of change=12.5
Step-by-step explanation:
The rate of change is just the slope.
Initial value is y-intercept.
What is the estimated product? 93 x .26
Answer:
2418
Step-by-step explanation:
Step 1: Setup
Set up your multiplication problem like this:
9 3
x 2 6
Step 2: Multiply
3 x 6 = 18. Put 8 below the line and 1 as a reminder on top:
1
9 3
x 2 6
8
Step 3: Multiply
6 x 9 = 54. Take 54 and add 1 from the previous step to get 55. Enter 55 at the bottom:
9 3
x 2 6
5 5 8
Step 4: Add 0
Enter a 0 at the bottom right as a place holder, because you now move over one digit:
9 3
x 2 6
5 5 8
+ 0
Step 5: Multiply
2 x 3 = 6. Put 6 below the line and 0 as a reminder on top:
0
9 3
x 2 6
5 5 8
+ 6 0
Step 6: Multiply
2 x 9 = 18. Take 18 and add 0 from the previous step to get 18. Enter 18 at the bottom:
9 3
x 2 6
5 5 8
+ 1 8 6 0
Step 7: Add to get an answer
Add up the bottom two numbers (558 + 1860 = 2418) to get the answer:
9 3
x 2 6
5 5 8
+ 1 8 6 0
= 2 4 1 8
The bottom line is the answer. Therefore, 93 times 26 equals:
2418
Here is my question. It's for my 6th Grade ALEKS.
Answer:
Step-by-step explanation:
i do 6th grade aleks too!
Consider statmet
None of the members of the club can vote.
For each statement below, determine whether it is a negation of the given statement.
Every member of the club can vote. Yes or No
At least one member of the club cannot vote. Yes or No
Some members of the club can vote. Yes or No
At least one member of the club can vote. Yes or No
The negation of the given statement
Some members of the club can vote.At least one member of the club can vote.What is Negation of statement?In Mathematics, the negation of a statement is the opposite of the given mathematical statement.
Given:
Statement: None of the members of the club can vote.
We have to focus on the word "None" and the negation of word None is Some or at least.
So, Every member of the club can vote is not negation of the statement.
and, At least one member of the club cannot vote is not negation of the statement.
and, Some members of the club can vote is negation of the statement.
and, At least one member of the club can vote is negation of the statement.
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Dan organized his books and DVDs into boxes. He has 88 books and 76 DVDs. What is the greatest number of boxes he could have used if he put the same number of books and the same number of DVDs into each box?
The greatest number of boxes is 4
How to determine the greatest number of boxesFrom the question, we have the following parameters that can be used in our computation:
88 books and 76 DVDs
To do this, we simply calculate the GCF
So, we have the following representation
88 = 2^2 * 11
76 = 2^2 * 19
This gives
GCF = 2^2
GCF = 4
The greatest number of boxes he could have used is 4 boxes.
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The solution to the system of equations below is (x, y). What is the value of x?
3x + y = 13
2x - 4y = 18
The system of equations is solved and the value of x = 5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
3x + y = 13 be equation (1)
Let the second equation be represented as B
Now , the value of B is
2x - 4y = 18 be equation (2)
Multiply equation (1) by 4 , we get
12x + 4y = 52 be equation (3)
Adding equation (2) and equation (3) , we get
14x = 70
Divide by 14 on both sides of the equation , we get
x = 70/14
x = 5
Substitute the value of x in equation (1) , we get
15 + y = 13
Subtracting 15 on both sides of the equation , we get
y = -2
Hence , the value of x and y is 5 and -2 respectively
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16. AQRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x,
and QS is one less than four times x, find x and the measure of each side.
Topic 4: Congruent Triangles
18. Write three valid congruency statements given the triangles below.
P
17. In AJKL, if JK = JL, m/J = 23x - 4, m/K = 4x - 1, and m/L = 9x - 31, find x and the
measure of each angle.
¥
Q
R
S
|||
T
U
19. If AKPLAACM, complete each part.
a) KL =
d)
The value of x is 9 ,
The measure of each side of the equilateral i.e QR , RS , QS is 35
What is a Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.
Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane.
Given as :
Triangle QRS is an equilateral triangle
The side of the triangles are, QR , RS, QS
Now, According to the question
QR = 2 x + 17
RS = 6 x - 19
QS = 4 x - 1
If the Triangle is equilateral, then all sides are equal
So , QR = RS = QS
Or, 2 x + 17 = 6 x - 19 = 4 x - 1
Now, 2 x + 17 = 6 x - 19
So, 17 + 19 = 6 x - 2 x
Or, 36 = 4 x
x =
I.e x = 9
So, the measure of side QR = 2 x + 17 = 2 × 9 + 17
Or, the measure of side QR = 35
The measure of side RS = 6 x - 19 = 6 × 9 - 19
Or, The measure of side RS = 35
The measure of side QS = 4 x - 1 = 4 × 9 - 1
Or , The measure of side QS = 35
Hence the value of x is 9,
And the measure of each side of the equilateral i.e QR , RS, QS is 35 . Answer
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The length-to-width ratio of a television screen is 4 to 3. Mya bought a television with a length of 32 inches. What is the width of the television?
a. 16 inches
b. 24 inches
c. 30 inches
d. 42 inches
⇒SOMONE I NEED HELP ASAP
using numerators that are even numbers, write two different substraction that each have a different of 1
The two different subtraction that each have a different of 1 are 1/2 and 1/2
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.
To solve the problem we must know about fractions.
The number should be odd, therefore, the number should be 1, 3, 5, 7, etc.
1 9/8 - 5/8 = 4/8 = 1/2
2 7/8 -5/4 = 2/4 = 1/2
These for the two different subtraction that each have a different of 1
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A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters is t seconds after the hit is given by the quadratic function h(t) = −4.9t2 + 34.3t + 1.
How could we calculate how long it takes the baseball to reach its maximum height? How could we calculate the maximum height obtained by the baseball?
61.025 meters is the maximum height obtained by the baseball
What is a function?A relation is a function if it has only One y-value for each x-value.
The length of time and the maximum height can be found by finding the vertex of the parabola.
h(t) = -4.9t² + 34.3t + 1
x = -b/2a
t = -34.3/-9.8
t=3.5
Now plug in t value in the function
h(3.5)= -4.9(3.5)² + 34.3(3.5)+ 1
=-4.9(12.25)+120.05+1
=-60.025+120.05+1
=61.025 meters
Hence, 61.025 meters is the maximum height obtained by the baseball
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Are you able to find the area of the following figure?
A: Yes the area can be found by adding four and the seven and dividing by two
B: No you are not able to find the area because one side length is missing
C: Yes the area can be found by multiplying the 4 and 7 and then dividing the product by two.
D: No you are not able to find the area because the numbers are both irrational numbers
C: Yes the area can be found by multiplying the 4 and 7 and then dividing the product by two.
This is the same as using the formula [tex]A=\frac{1}{2}bh[/tex].Given the function of f(x)
To evaluate [tex]f(g(3))[/tex], we need to first evaluate g(3), then evaluate f(g(3)).
[tex]$$g(3)=7 \cdot 3^2+6 \cdot 3+2=65$$[/tex]
How to solve the given equation?A relationship between a number of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs that are individually connected to exactly one output. There are two domains or scopes for each function. f is typically used to represent functions (x). The input is x. Y = f is a common way to represent the function (x).
To evaluate [tex]f(g(3))[/tex], we need to first evaluate g(3), then evaluate f(g(3)).
[tex]$$g(3)=7 \cdot 3^2+6 \cdot 3+2=65$$[/tex]
So
[tex]f(g(3))=f(65)=\frac{1}{2} \cdot 65-4=\frac{1}{2} \cdot 65-4=28[/tex]
To evaluate [tex]g(f(8))[/tex], we need to first evaluate [tex]f(8)[/tex], then evaluate [tex]f(8)[/tex].
[tex]f(8)=\frac{1}{2} \cdot 8-4=2\\\\g(f(8))=g(2)=7 \cdot 2^2+6 \cdot 2+2=46\\g(f(8))=46[/tex]
[tex]g\left(\frac{1}{8}\right)=7\left(\frac{1}{8}\right)^2+6 \cdot \frac{1}{8}+2=\frac{121}{8}+\frac{3}{2}+2=\frac{135}{8}[/tex]
[tex]f\left(g\left(\frac{1}{8}\right)\right)=f\left(\frac{135}{8}\right)=\frac{1}{2} \cdot \frac{135}{8}-4=\frac{135}{16}-4=\frac{135-64}{16}=\frac{71}{16}\\f\left(\frac{1}{2}\right)=\frac{1}{2} \cdot \frac{1}{2}-4=-4[/tex]
So,
[tex]$$f\left(f\left(\frac{1}{2}\right)\right)=f(-4)=\frac{1}{2} \cdot-4-4=-8-4=-12$$[/tex]
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Please help me with the question.
Answer:
MN = 7x + 3
Step-by-step explanation:
Because MN connects the midpoints M and N of AD and BC respectively
MN is the midsegment of trapezoid ABCD , then
MN = [tex]\frac{AB+DC}{2}[/tex]
AB + DC = 6x + 7 + 8x - 1 = 14x + 6
MN = [tex]\frac{14x+6}{2}[/tex] = [tex]\frac{14x}{2}[/tex] + [tex]\frac{6}{2}[/tex] = 7x + 3
help... ME!!
which boxes have a volume of 96 cubic feet?
Answer:
Option B) A and C
Step-by-step explanation:
Please help, very important to me !!
Answer:
36 m
Step-by-step explanation:
It says to use a graph so here is one with the height shown as 36 m
The functions f(x) and g(x) are shown on the graph. f(x) = x2 What is g(x)?  A. g(x) = 3x^2  B. g(x) = (1/3x)^2  C. g(x) = (x + 3)^2  D. g(x) = (x – 3)^2 (2,12)
The function g(x) is equal to g(x) = 3x².
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is functions f(x) and g(x) are shown on the graph and f(x) = x².
The function g(x) is equivalent to 3 times function f(x) for every value of {x}. So, we can write - g(x) = 3x²
Therefore, the function g(x) is equal to g(x) = 3x².
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Please solve
-5|x+3|-3=-15
I got the x + 3 =12/5 part but I don’t know what to do after that
please help me including the steps to get the next part.
Thank you!
To solve the equation, you can use the following steps:
Start by isolating the absolute value expression on one side of the equation:
-5|x+3| = 18
Now, since the absolute value is positive, it has two solutions:
x + 3 = -18 or x + 3 = 18
Solving for x in each case:
x = -21 (if x + 3 = -18) or x = 15 (if x + 3 = 18)
So the two solutions to the equation are x = -21 and x = 15.
a video has 42 thumbs down what integer represents its score in points
Answer: -42
Step-by-step explanation:
Examine the triangle below, what is the length of p = (round to the
tenth)
The length of side p of the triangle rounded to the nearest tenth is 7.5.
What is the length of side p?The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
It is expressed as;
p = √( n² + m² - ( 2nm × cosθ ) )
Given the figure in the diagram;
m = 13n = 11Angle P = 35°p = ?Plug the values into the above formula and simplify.
p = √( n² + m² - ( 2nm × cosθ ) )
p = √( (11)² + (13)² - ( 2 × 11 × 13 × cos( 35 ) ) )
p = √( 121 + 169 - ( 286 × cos( 35 ) ) )
p = √( 290 - ( 286 × cos( 35 ) ) )
p = √( 290 - 234.27748 )
p = √( 290 - 234.27748 )
p = √55.72252
p = 7.5
Therefore, the value of p is 7.5.
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Which property is illustrated by the statement 13 * 12 = 12 * 13
Answer:Commutative property of multiplication
Step-by-step explanation:
Commutative property of multiplication
find the number of degrees moved by the minute hand of a clock in the give amount of time 2/3 hour ??
The number of degrees moved by the minute hand of a clock in 2/3hours is 240°
What is angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °.
The hand of minute will move 360° to complete an hour.
If a full round will make angle at a point. Which is 360°
Therefore 2/3 of an hour will give an angle of 2/3 of 360°
= 2/3 × 360
= 240°
therefore the number of degrees moved by the minute hand in 2/3 hour is 240°
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Find an angle θ that is coterminal with an angle measuring −490∘, where 0∘≤θ<360∘. Do not include the degree symbol in your answer. For example, if your answer is 20∘, you would enter 20.
Answer: [tex]230[/tex]
Step-by-step explanation:
To find coterminal angles, add/subtract integer multiples of [tex]360^{\circ}[/tex].
[tex]-490^{\circ}+360^{\circ}=-130^{\circ}\\\\-130^{\circ}+360^{\circ}=230^{\circ}[/tex]
An angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘ is 130∘.
To find an angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘, we can use the concept of coterminal angles.
Coterminal angles are angles that have the same initial and terminal sides when drawn in standard position. To find a positive coterminal angle with a negative angle, we can add 360 degrees to the negative angle until we get an angle within the desired range (0∘ to 360∘).
Let's find the positive coterminal angle:
θ = -490∘ + 360∘
θ = -130∘
So, an angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘ is 130∘.
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-The diagram shows a triangular prism.
-The base, ABCD, of the prism is a square side 14cm.
-Angles ABE and CBE are right angles.
-Angle EAB =32 degrees
-M is the point on DA such that DM : MA = 3:4
-Calculate the size of the angle between EM and the base of the prism.
-Give your answer to 1 decimal place.
The size of the angle between EM and the base of the prism is equal to 28.5°.
How to calculate the size of the angle between EM and the base of the prism?First of all, we would determine side length MA based on the ratio between side lengths DM and MA as follows;
DM : MA = 3 : 4
Total side parts = 14 cm
(3 + 4) parts = 14 cm
7 parts = 14 cm
1 part = 2 cm
Therefore, side length MA = 2 × 4 = 8 cm.
By applying Pythagorean's theorem to right triangle MAB, we have the following:
c² = a² + b²
Where:
a, b, and c represents the side lengths of a right triangle.
c² = 8² + 14²
c² = 260
c = √260
c = 16.1245 cm.
By applying tan trigonometry to right triangle AEB, we have:
tanθ = opposite/adjacent
opposite = tan32° × 14
opposite = 8.7482 cm.
By applying tan trigonometry to right triangle EMB, we have:
tanθ = opposite/adjacent
θ = tan⁻¹(opposite/adjacent)
θ = tan⁻¹(8.7482/16.1245)
θ = tan⁻¹(0.5425)
θ = 28.5°.
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what type of help is provide by international organizations to your. community
International organizations provide various types of help to communities around the world.
Some of the common forms of help include:
Humanitarian aid: This includes providing food, water, shelter, and medical assistance during natural disasters, conflicts, and other emergencies.Health programs: International organizations work with local communities to improve health outcomes and prevent the spread of diseases.Economic development: International organizations provide support for job creation, entrepreneurship and sustainable economic growth.Education: Organizations like UNICEF and UNESCO work to improve education opportunities for children and adults in communities around the world.Infrastructure development: International organizations provide funding and technical assistance to build roads, bridges and other infrastructure projects.Environmental protection: International organizations work to protect natural resources and ecosystems in communities around the world.Human rights: Organizations like Amnesty International work to defend human rights and promote equality and justice in communities around the world.Learn more about international organizations here: brainly.com/question/27176025
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