Answer:
4640933300 people would have died from AIDS in 2006.
Step-by-step explanation:
Let the equation that models the growth in mortality because of AIDS be,
[tex]A_n=A_0(1+r)^n[/tex]
Where [tex]A_n[/tex] = Number of deaths after n years
[tex]A_0[/tex] = Deaths in first year
(1 + r) = Growth factor
n = number of years
Now we substitute the values in the equation,
[tex]A_0=1800[/tex]
(1 + r) = 1.9
n = Number of years = 2006 - 1983 = 23 years
[tex]A_n=1800(1.9)^{23}[/tex]
= 1800(2578296.28)
= 4640933300
Therefore, with the same death rate 4640933300 people would have died from AIDS in 2006.
The home team scored 3 touchdowns. The visiting team scored 4 field goals. Which team scored more points?
Answer:
The home team with 3 touchdowns
Step-by-step explanation:
A touchdown in football is equal to 6 points
6*3=18
A field goal is equal to 3 points
4*3=12
The home team scored more points at 21 points than the visiting team which had only scored 12 points.
Given that, the home team scored 3 touchdowns. The visiting team scored 4 field goals.
We need to find which team scored more points.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now,
If you are including the extra point as the touchdown it would be 7 points times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)
For the 2nd team, they have 3 pts times 4 field goals which would put the visiting team at 12 points total.
Therefore, the home team scored more points at 21 points than the visiting team which had only scored 12 points.
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I need help on this one too please and thank you
you and your business partner are mailing advertising flyers to your customers. you address 6 flyers each minute and have already done 80. your partner addresses 4 flyers each minute and has already done 100. calculate when the two of you will have addressed equal numbers of flyers.
there are many ways
in 4 minutes, you will have 24 flyers passed out
in 6 minutes, your partner will have 24 passed out.
in 6 minutes, you will have 36 flyers passed out
in 9 minutes, your partner will have 36 flyers passed out.
you can use numbers that can be multiplied with each other or also known as multiples
What is the relationship between angles 1, 2, and 3?
Answer:
The angles opposite each other when two lines cross. In the figure, the 1 and 3 are vertically opposite angles and they are always equals. Same goes for angles 2 and 4. The angles in matching corners when two lines are crossed by another line, called the transversal.
Step-by-step explanation:
1. Complementary Angles
Definition
Complementary angles are two positive angles whose sum is 90 degrees.
Examples
For example, complementary angles can be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two acute angles, like ∠MNP and ∠EFG, whose sum is equal to 90 degrees. Both of these graphics represent pairs of complementary angles.
complementary angles example
Complementary Angles Example
2. Supplementary Angles
Definition
Supplementary angles are two positive angles whose sum is 180 degrees.
Examples
For example, supplementary angles may be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two angles, like ∠MNP and ∠KLR, whose sum is equal to 180 degrees. Both of these graphics represent pairs of supplementary angles.
supplementary angles example
Supplementary Angles Example
What is important to note is that both complementary and supplementary angles don’t always have to be adjacent angles.
3. Adjacent Angles
Definition
Adjacent angles are two angles in a plane that have a common vertex and a common side but no common interior points.
Examples
Angles 1 and 2 are adjacent angles because they share a common side.
adjacent angles examples
Adjacent Angles Examples
And as Math is Fun so nicely points out, a straightforward way to remember Complementary and Supplementary measures is to think:
C is for Corner of a Right Angle (90 degrees)
S is for Straight Angle (180 degrees)
Now it’s time to talk about my two favorite angle-pair relationships: Linear Pair and Vertical Angles.
4. Linear Pair
Definition
A linear pair is precisely what its name indicates. It is a pair of angles sitting on a line! In fact, a linear pair forms supplementary angles.
Why?
Because, we know that the measure of a straight angle is 180 degrees, so a linear pair of angles must also add up to 180 degrees.
Examples
∠ABD and ∠CBD form a linear pair and are also supplementary angles, where ∠1 + ∠2 = 180 degrees.
linear pair example
Linear Pair Example
5. Vertical Angles
Definition
Vertical angles are two nonadjacent angles formed by two intersecting lines or opposite rays.
Huh?
Think of the letter X. These two intersecting lines form two sets of vertical angles (opposite angles). And more importantly, these vertical angles are congruent.
Examples
In the accompanying graphic, we see two intersecting lines, where ∠1 and ∠3 are vertical angles and are congruent. And ∠2 and ∠4 are vertical angles and are also congruent.
vertical angles examples
Vertical Angles Examples
Together we are going to use our knowledge of Angle Addition, Adjacent Angles, Complementary and Supplementary Angles, as well as Linear Pair and Vertical Angles to find the values of unknown measures.
Angle Relationships – Lesson & Examples (Video)
32 min
Introduction to Angle Pair Relationships
00:00:15 – Overview of Complementary, Supplementary, Adjacent, and Vertical Angles and Linear Pair
Exclusive Content for Member’s Only
00:06:29 – Use the diagram to solve for the unknown angle measures (Examples #1-8)
00:19:05 – Find the measure of each variable involving Linear Pair and Vertical Angles (Examples #9-12)
Practice Problems with Step-by-Step Solutions
Chapter Tests with Video Solutions
The required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.
Given that,
To determine the relationship between angles 1, 2, and 3.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Angles 1 and 2 are remote interior angles while angle 3 is a remote exterior angle. So there is a property of a triangle in that the sum of the remote interior angles is equal to the remote exterior angle.
∠1 +∠2 = ∠3.
Thus, the required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.
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Hugh says that “one less than four times a number” can be written as two expressions: 1 - 4n and 4n - 1. Why is Hugh incorrect?
A
because no two expressions are equal
B
because subtraction is not commutative
C
because Hugh forgot to include equal signs
D
because coefficients go after their variables
Huge is incorrect, because subtraction is not commutative.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Hugh says that “one less than four times a number” can be written as two expressions,
⇒ 1 - 4n and 4n - 1.
Now, We know that;
The subtraction property is not commutative.
And, 1 - 4n ≠ 4n - 1
Hence, Hugh is incorrect.
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Gavin and Ethan are training for a race. Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin. What is the total distance that Gavin and Ethan ran last week? Express your answer in meters.
If Ethan ran twice as far as Gavin then he ran 14 kilometers. 7*2=14. And then you add 7 to 14 which gives you 21. so they ran a total of 21 kilometers
The total distance that Gavin and Ethan ran last week is 21000 meters.
Given that, Gavin and Ethan are training for a race.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin.
Number of kilometers Ethan ran =2×7
= 14 kilometers
= 14×1000
= 14,000 meters
Now, 7 kilometers = 7000 meters
Total =14000+7000
= 21000 meters
Therefore, the total distance that Gavin and Ethan ran last week is 21000 meters.
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Help please..the top said What ordered pair do you see in the image?
Answer:
That would be the origin, (0,0).
Please let me know if I'm incorrect!
Answer:
the ordered pair you see is (0,0) or the origin
.
A baker is making cakes for a party. She uses 2 1/4 cups of flour for each cake. If she has 11 cups of flour, how many cakes can she make?
Esmerelda simplified a complex fraction. Her work is shown below. Negative 5 and one-fourth divided by three-halves = negative StartFraction 21 over 4 EndFraction divided by three-halves = (Negative StartFraction 21 over 4 EndFraction) (Three-halves) = Negative StartFraction 24 over 6 EndFraction = negative 4
Given:
The complex fraction is
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]
Esmerelda simplified a complex fraction and steps are given.
To find:
The mistake of Esmerelda.
Solution:
We have,
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]
Convert the mixed fraction in improper fraction.
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{5\times 4+1}{4}}{\dfrac{3}{2}}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{20+1}{4}}{\dfrac{3}{2}}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{21}{4}}{\dfrac{3}{2}}[/tex]
Use the reciprocal of the divisor.
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21}{4}\times \dfrac{2}{3}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21\times 2}{4\times 3}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{42}{12}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{7}{2}[/tex]
Therefore, the correct value of given fraction is [tex]-\dfrac{7}{2}[/tex].
Three mistakes of Esmerelda are:
1. Esmerelda added the numerators.
2. Esmerelda added the denominators.
3. Esmerelda did not use the reciprocal of the divisor.
Answer:
B,C,E
Step-by-step explanation:
Please help this test is overdue and I really need to finish it I’ll do brainliest
A. -2 +23 = 21 C
B. -2 x 3 = -6 C
A high school football team scores a total of 42 points by scoring touchdowns and field goals. Suppose each field goal is worth 3 points and each touchdown is worth 7 points.
a. Let x represent the number of field goals and y represent the number of touchdowns. Write an equation that models the total points scored in the game.
b. Identify and interpret the x- and y-intercepts.
Answer:
a) 3x+7y
Step-by-step explanation:
Sorry I don't know the answer to question B
Hope this helps
The equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A high school football team scores a total of 42 points by scoring touchdowns and field goals.
From the data given in the question:
42 = 3x + 7y
Here x represents the number of field goals and y represents the number of touchdowns.
For x-intercept:
Plug y = 0
3x = 42
x = 14
For y-intercept:
Plug x = 0
7y = 42
y = 6
Thus, the equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.
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Clear selection
1 point
2. Find all angles between 0° and 180° which satisfy the equation cos y =-0.63
[A] 26.7, 153.3
[B] 129.1
[C] 26.7, 129.1
[D] 65.1
Answer:
English people often say: 'A dog is a man's
best friend', and I agree.
I live with my parents on a farm in the country It is a long way from my school, and I haven't got any
brothers or sisters, so I am often alone.
My dog, Bella, is like a best friend to me. When I am at home, she
is with me all the time.She follows me arond the house, and she sleeps next to my bed at night. Bella always wakes up early in the
morning. She has lots of energy and she likes to play. We usually get
up at 6 a.m. and walk in the fields behind my house.
Of course, Bella doesn't talk to me, but she always looks at me
and concentrates when I talk to her. I think she knows when I am happy and when I am sąd. She always knows how
to make me feel better.
When I come home from school, I sit at my desk and do my
homework."
Bella usually relaxes under the desk. When I finish, she jumps up and we go
out again.English people often say:A dog is man's best friend, and I agree. I live
Answer:
B)129.1
Step-by-step explanation:
see the graph of cos
combine like terms to create an equivalent expression 6(1/2 w - 3/4)
[tex]7 + 3 ^{2} \times 2[/tex]
elevated the expression
Which equation is equivalent to
4x − 14 + 2x = 70?
Group of answer choices
8X = 56
2X = 56
20X = 70
6X = 84
Answer: 2x=56
Step-by-step explanation:
Answer:
The correct answer would be A.
Step-by-step explanation: Because If you look at it closly you'll see how their equivalent.
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.M. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.2 gallons. What is the average rate of flow of the gasoline into the gas tank?
Answer:
2.55gallons.minStep-by-step explanation:
given that the initial time before pumping is 3:40 p.M.
after pumping the time reads 3:44, hence he use 4 min to fill his tank
time taken=4 min
also given is that had pumped 10.2 gallons
the capacity of tank= 10.2gallon
Then the average rate of pump is
average rate= capacity of tank/time taken
average rate= 10.2/4min
average rate=2.55gallons.min
A stage designer paid $4 per square foot for flooring to be used in a square room. If the designer spent $600 on the flooring, about how long is a side of the room? Round to the nearest foot.
• How is the area of a square related to its side length? Explain
• How can you estimate the length of a side of a square? Explain
Answer:
A square has equal width and length. To find the area, you have to multiply the width by length but because they are the same length, you may some time see the formula written as L*L or [tex]L^{2}[/tex].
The area of used up by the squares is 150sq feet. I found this by dividing 600 by 4. You can find an estimate by equating 150 the L*L. This gives you an approximate value of 12.
The graph below represents the total shipping cost of x items for four different companies.
Shipping Charges
A graph has number of items on the x-axis and shipping cost in dollars on the y-axis. Line W goes through points (0, 5) and (2, 13). Line U goes through (0, 12) and (3, 16). Line Y goes through (0, 10) and (2, 12). Line Z goes through (0, 0) and (2, 4).
Which list places the companies in order from the steepest slope to the least steep slope?
W, Z, U, Y
U, Y, W, Z
W, Z, Y, U
U, Y, Z, W
Answer:
Steepest to most gentle: W, Z, U, Y
Step-by-step explanation:
Answer: WZUY
Step-by-step explanation: On Edgenuity!!!!!!!!!!!
The marked angle can be classified as . . .
obtuse
straight
acute
right
Answer:
Acute
Step-by-step explanation:
The definition of an acute angle is less that 90 degrees.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Explain how you could determine whether
21
3
120
12
and 7
9 have the same decimal
equivalent. Use vocabulary words in your explanation.
Step-by-step explanation:
ghsusvzbsisieb ujdidjd ki kdjd jarq. id dhdb
Find the slope using these two coordinate points:
(0, 15) and (4, 3)
Your answer
Answer:
slope = -3
Step-by-step explanation:
slope is: (delta y)/(delta x)
so slope = (15-3)/(0-4)
= -3
Which point is on the line 4y-2x=0
Answer:
answer is 1 ) ( -2 -1 )
Step-by-step explanation:
4* (-1) - 2 (-2) = 0
ASAP please answer correctly is answered right I will mark brainliest.
Answer:
x=9
Step-by-step explanation:
if b = 3 then b to the 2nd power is equivalent to
solve the equation and graph the solution:
24 + 6k < -6(-4-k)
Answer:
no solution
Step-by-step explanation:
24 + 6k < -6(-4-k)
Distribute
24+6k< 24 +6k
Subtract 6k from each side
24 < 24
This is never true so there are no solutions
Answer:
there is nothing to graph because there is no solution.
A square playing field has an area of 1156 yd.² how long is each side of the field
Answer: 34 yards
Step-by-step explanation:
A Square has all its sides having equal lengths so all the sides of this playing field will be the same.
The area of a square is calculated by multiplying the length of the field by its Width.
To find the length of each side therefore, one can simply find the square root of the area;
= √1,156
= 34 yards
Need help pls Need it
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
Answer: A
Figure A is a counterexample because they are vertical angles that equal 180°, which makes the statement false.
plz mark brainliest
9. Practice: Summarizing (1 point)
The workers leave the lights on in the break room for stretches of about 3 hours. Which light
bulb would light this room using the least amount of energy?
10. Practice: Summarizing (1 point)
The lights in the main room of the factory stay on for stretches of 9 hours. Which kind of light
bulb would light this room with the least amount of energy?
1. Find f(3) for
the function
below.
f(x) = 4^x
Answer:
64
Step-by-step explanation:
f(x) = 4^x,
When x = 3,
=> f(3) = 4^3
= 4 * 4 * 4
= 64
Answer:
f(3) = 64
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x) , that is
f(3) = 4³ = 64