The expected number of people over 70 years old in that country in 2050 is given as follows:
D) 5.40 million.
How to obtain the expected number of people?The expected number of people over 70 years old in that country in 2050 is obtained applying the proportions in the context of the problem.
The expected population of that country in 2050 is given as follows:
180 million.
Hence the expected population of the country over 70 years old, equivalent to a percentage of 3%, is obtained as follows:
0.03 x 180 million = 5.4 million.
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Help ASAP please see photo
The circle with a chord are those that have a line joining two points on the circumferences
What is a chord?Recall that a chord a chord of a circle is a line segment that joins any two points on the circumference of the circle
From question number 1, the chords are circles 1, 2 and 5. This is because each of the circles has a line joining two points
2) From question 2 all the chords intercepted each other. This is because an intercept is a point where two straight lines meet. or you can say that An intercept in mathematics is a point on the y-axis through which the slope of a line passes
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3.
Find the arc length of AB.
3 cm
P 64°
A
B
PLEASE SHOW WORK!
The measure of the arc length AB is [tex]\frac{16\pi }{15}[/tex] centimeters.
What is the measure of the arc length?An arc length is simply the distance between two points along a section of a curve.
The arc length is expressed as:
s = 2πr × (θ/360°)
Where s is the arc length, r is the radius, θ is the angle and π is constant pi.
Given that:
Radius r = 3cmAngle θ = 64 degreeArc length s = ?Plug the values into the above formula
s = 2πr × (θ/360°)
s = 2 × π × 3cm × ( 64°/360°)
[tex]s = \frac{16\pi }{15} cm[/tex]
Therefore, the arc length is [tex]\frac{16\pi }{15}[/tex] cm.
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CAN SOMONE HELP WITH THIS QUESTION?
a) The height of the stone 5 seconds later is: 90 feet
b) The time at which the stone hits the ground is: 7.66 secs
c) The velocity of the stone when it hits the ground is: 227 ft/sec
How to solve Projectile Motion Problems?We are given:
Height above ground: h = 800 feet
Initial speed: u = 18 feet per second
(A.) Height of the stone at t = 5 seconds.
g = -32feet/sec²
t = 5 sec.
Since the stone is thrown vertically upward from some height X = 800 feet, so the total height will be:
h = X + ut + 1/2at²
h = 800 + (18*5) + ¹/₂ * (-32) * (5²)
h = 90 feet
(B.) At what time did the stone hit the ground, that means height, h = 0.
0 = 800 + (18t) + ¹/₂ * (-32) * (t²)
16t² - 18t - 800 = 0
t = 18 ± √-18² - 4 * 16 * (-800)/2*16
t = 7.66 sec
So at t = 7.66 secs, the stone hits the ground.
(C.) The velocity when the stone hits the ground.
Using the energy conservation theorem,
Initial total energy = Final total energy.
¹/₂mu² + mgh = ¹/₂mv² + 0
u² + 2gh = v²
v² = 18² + 2*32*800
v=√18² + 2*32*800
v = 227 ft/sec
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For the position function s(t)20/t+1, complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 0.
Answer:So the instantaneous velocity at t = 0 is -20. This means that the object is moving in the negative direction at a rate of 20 units per second at t = 0.
Look at the Photo
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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S is the midpoint of RT. R has the coordinates (13,-8), and S has the coordinates (9,5). Find the coordinates of T.
Please help (Image Attached)
The coordinates of endpoint T are (5,18).
What is the coordinates of point T?The midpoint formula is expressed as:
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints of the line segment.
Let's call the coordinates of point T (x,y).
Since S is the midpoint of RT, we can use the midpoint formula to find the coordinates of S:
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
((13+x)/2, (-8+y)/2) = (9,5)
Solving for x:
(13+x)/2 = 9
13 + x = 2 × 9
13 + x = 18
x = 18 - 13
x = 5
Solving for y, we get:
(-8+y)/2) = 5
-8 + y = 5 × 2
-8 + y = 10
y = 10 + 8
y = 18
Therefore, the coordinates are (5,18).
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Help me please this question is too tricky for me
Find the volume of the composite object below. QUICK IM BEGGING
Round your answer to the nearest hundredth.
Do not write the units, only write the number.
Answer:
7120.95^3
Step-by-step explanation:
Using the formula (2/3)πr^3 we get (2/3)π10^3 which equals 2094.4 for the volume of the hemisphere.
The volume for the cylinder would be 5026.55 using the formula of V=πr2h for the volume of a cylinder.
The total volume would amount to 7120.95^3
NO LINKS!!! URGENT HELP PLEASE!!!
Determine the equation of the circle graphed below.
Answer:
[tex](x-6)^2+(y+7)^2=4[/tex]
Step-by-step explanation:
The formula for the equation of a circle is:
[tex]\boxed{(x-h)^2+(y-k)^2=r^2}[/tex]
where:
(h, k) is the center.r is the radius.From inspection of the given graphed circle, we can see that the coordinates of its center are (6, -7), and its radius is 2 units. Therefore:
h = 6k = -7r = 2To determine the equation of the graphed circle, substitute these values into the equation of a circle formula:
[tex]\implies (x-6)^2+(y-(-7))^2=2^2[/tex]
[tex]\implies (x-6)^2+(y+7)^2=4[/tex]
Therefore, the equation of the graphed circle is:
[tex]\boxed{(x-6)^2+(y+7)^2=4}[/tex]
The fifth-grade team ordered 325 shirts for Field Day. The company can package 21 boxes will they need to ship this order?
Result:
Yes, the fifth-grade team will need to ship the order of 325 shirts for Field Day. They will need to package them in 16 boxes to ship them.
How do we calculate the number of boxes needed for the shipment?To evaluate the number of boxes needed to ship the order, we need to divide the total number of shirts by the number of shirts that can fit in one box.
where:
Number of shirts per box = 21
Total number of shirts = 325
Number of boxes needed = Total number of shirts / Number of shirts per box
Number of boxes needed = 325 / 21
Number of boxes needed = 15.47619
Since we cannot have a fraction of a box, we would round up to the nearest whole number.
Therefore, the fifth-grade team will need to ship the order in 16 boxes.
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Value of V (quickly please)
The measure of v is 61 degree.
We have,
Interior angle = (v - 19) or v
Exterior angle = v + 42
Using exterior Angle Property
Exterior angle= Sum of opposite interior angle
v + 42 = v - 19 + v
v + 42 = 2v - 19
v - 2v = -19 - 42
-v = -61
v= 61
Thus, the value of v is 61.
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Casey rolls a fair number cube twice. If she rolls the same number twice in a row, then she gets to roll again. If she rolls a six on the third roll, she wins. How many outcomes are in the sample space that shows Casey wins
There are 6 such paths, so there are 6 outcomes in the sample space that show Casey winning.
We can use a tree diagram to visualize the different outcomes of Casey's rolls:
Each branch of the tree represents one roll of the number cube.
The first two rolls are independent and equally likely to be any of the six numbers.
If the first two rolls are the same number, then Casey gets to roll again. If the third roll is a 6, she wins.
We can count the number of outcomes in the sample space that show Casey winning by counting the number of paths in the tree that lead to a 6 on the third roll.
These are:
1-1-6
2-2-6
3-3-6
4-4-6
5-5-6
6-6 (rolls again)-6
Therefore, the answer is 6.
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(3x-2y+7)-(x+8xy-1)+(10x-xy)
Simplifying the expression, (3x - 2y + 7) - (x + 8xy - 1) + (10x - xy), the solution we would get by combing like terms can be expressed as: 12x - 2y + 7xy + 6.
How to Simplify an Expression?Given the expression, (3x - 2y + 7) - (x + 8xy - 1) + (10x - xy), to simplify it, follow the steps shown below:
(3x - 2y + 7) - (x + 8xy - 1) + (10x - xy) [given]
Open the bracket by applying the distributive property:
3x - 2y + 7 - x + 8xy - 1 + 10x - xy
Combine like terms together:
3x - x + 10x - 2y + 8xy - xy + 7 - 1
12x - 2y + 7xy + 6
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Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials.
Answer:
Kenneth's average stacking time is less than 8.2 seconds.
Brainly wouldn't allow me to give an explanation because apparently, it contains inappropriate words..? How odd.
Answer:
The data does not provide sufficient evidence to conclude that Kenneth's mean stacking time is is less than 8.2 seconds
Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level.
Step-by-step explanation:
Null hypothesis (H0): mu = 8.2 seconds
Alternate hypothesis (Ha): mu < 8.2 seconds
Significance level = 0.04
p-value = 0.0401
Using the p-value approach for testing hypothesis, do not reject H0 because the p-value 0.0401 is greater than the significance level 0.04.
There is not sufficient evidence to conclude that Kenneth's mean stacking time is less than 8.2 seconds.
CAN SOMEONE HELP WITH THIS QUESTION?✨
By evaluating the function related to the second derivative f''(x) = - 25 · sin 5x is equal to f(π / 5) = (14π - 50) / 25.
How to find the function related to a second derivative
In this question we find the definition of the second derivative of a function, this function must be found by integrals and initial values. First, write the entire function:
f''(x) = - 25 · sin 5x
Second, determine the first derivative:
f'(x) = (1 / 5) · cos 5x + C₁
f(0) = (1 / 5) · cos 0 + C₁
3 = 1 / 5 + C₁
C₁ = 14 / 5
f'(x) = (1 / 5) · cos 5x + 14 / 5
Third, determine the function:
f(x) = (1 / 25) · sin 5x + (14 / 5) · x + C₂
f(0) = (1 / 25) · sin 0 + (14 / 5) · 0 + C₂
- 2 = (1 / 25) · sin 0 + (14 / 5) · 0 + C₂
- 2 = C₂
f(x) = (1 / 25) · sin 5x + (14 / 5) · x - 2
Fourth, evaluate the function:
f(π / 5) = (1 / 25) · sin π + (14 / 5) · (π / 5) - 2
f(π / 5) = 14π / 25 - 2
f(π / 5) = (14π - 50) / 25
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What meaning of the statements this?
Proposition 3.9 means that if there is a third subgroup that contains the first two subgroups in group G, then when the subgroups are unified, they would still be a subgroup of G.
What does Proposition 3.9 mean ?Put simply, a subgroup collection of Group G is directed if it contains any two subgroups that have a third subgroup containing them both. The subgroup union of this sorted collection is also a subgroup of G.
This definite conclusion occurs because the subgroup criterion states that if any small two subgroups of G are part of a union, then that union is also a subgroup of G. Additionally, a directed subgroup family can be perceived as a series of successive subgroups, with each subgroup being enclosed within the following one.
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what is 2+2
(this is a joke answer if you want)
Answer:
22
Step-by-step explanation:
4
Solve for the following percentage
show with solution.
1. 20% of 80
2. 6% of 150
3. 30% of 200
4. 65% of 400
5. 50% of 150
Find the Base, show your solution
1. 28 is 4% of what number?
2. 25% of what number is 100?
3. 69 is 75% of what number?
4. 15% of what number is 9?
5. 12% of what number is 60
Find the Rate, show your solution
1. what percent of 200 is 50
2. what percent of 50 is 40?
3. what percent of 10 is 6?
4. 200 is what percent os 200?
5. what percent of 800 is 200?
help
Answer:
Step-by-step explanation:
20% of 80 is 16.
6% of 150 is 9.
30% of 200 is 60.
65% of 400 is 260.
50% of 150 is 75.
1 Let x be the unknown number. Then we have the equation:
0.04x = 28
Solving for x, we divide both sides by 0.04:
x = 28 ÷ 0.04 = 700
Therefore, 28 is 4% of 700.
2. Let x be the unknown number. Then we have the equation:
0.25x = 100
Solving for x, we divide both sides by 0.25:
x = 100 ÷ 0.25 = 400
Therefore, 25% of 400 is 100.
3 Let x be the unknown number. Then we have the equation:
0.75x = 69
Solving for x, we divide both sides by 0.75:
x = 69 ÷ 0.75 = 92
Therefore, 69 is 75% of 92.
4 Let x be the unknown number. Then we have the equation:
0.15x = 9
Solving for x, we divide both sides by 0.15:
x = 9 ÷ 0.15 = 60
Therefore, 15% of 60 is 9.
5. Let x be the unknown number. Then we have the equation:
0.12x = 60
Solving for x, we divide both sides by 0.12:
x = 60 ÷ 0.12 = 500
Therefore, 12% of 500 is 60.
(3)
1 Let x be the percent, then we can set up the equation:
x/100 * 200 = 50
Solving for x, we get:
x = 25
Therefore, 50 is 25% of 200.
2 Let x be the percent, then we can set up the equation:
x/100 * 50 = 40
Solving for x, we get:
x = 80
Therefore, 40 is 80% of 50.
3 Let x be the percent, then we can set up the equation:
x/100 * 10 = 6
Solving for x, we get:
x = 60
Therefore, 6 is 60% of 10.
4. 200 is 100% of itself, so the percent is 100.
5. Let x be the percent, then we can set up the equation:
x/100 * 800 = 200
Solving for x, we get:
x = 25
Therefore, 200 is 25% of 800.
Una mamá canguro saltó 1/3 de la distancia al lago con su cría dentro de su bolsa. Después saltó las 7,040 yardas restantes sin su cría. ¿Cuántas millas saltó la mamá canguro hasta el lago?
La madre canguro saltó una distancia total de 6 millas para llegar al lago. .
10. A spinner and a number cube are used to play a game. The sides of the
cube are numbered 1 through 6. A player's score is the sum of the
numbers on which the spinner lands and the number rolled on the cube.
Find the probability of getting a sum greater than 25.
a.1/2
b. 13/24
C.7/12
d. 1/24
Result:
The probability of getting a sum greater than 25 = 1/9.
The answer is not among the given options.
How do we find the probability?To find the probability, we would need to consider the possible combinations of the spinner and number cube that result in a sum greater than 25.
First, note that the highest possible sum we can get is 12 (that is 6 from the spinner and 6 from the number cube). Therefore, we can remove all combinations that result in a sum of 24 or less.
Next, we can consider the combinations that result in a sum of 25 like this:
Spinner lands on 6, number cube lands on 5
Spinner lands on 5, number cube lands on 6
Spinner lands on 6, number cube lands on 4
Finally, we can consider the combinations that result in a sum greater than 25:
Spinner lands on 5, number cube lands on 5
Spinner lands on 6, number cube lands on 5
Spinner lands on 5, number cube lands on 6
Spinner lands on 6, number cube lands on 6
Here, 4 possible combinations can result in a sum greater than 25 from a total of 6 x 6 = 36 possible outcomes.
So, the probability of getting a sum greater than 25 is 4/36 = 1/9.
Therefore, none of the given answer choices matches this result.
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It’s telling me to find ZL and IL but I’m not sure how
The length of ZL and IL is 297.72 ft and 283.15 ft respectively.
What is the length of ZL and IL?The lengths of ZL and IL is calculated by applying trigonometry ratio as follows;
SOH CAH TOA
SOH = sin θ = opposite /hypothenuse side
TOA = tan θ = opposite side / adjacent side
CAH = cos θ = adjacent side / hypothenuse side
The hypothenuse side = ZL and the adjacent side = IL.
tan 18 = 92/IL
IL = 92/tan (18)
IL = 283.15 ft
sin 18 = 92/ZL
ZL = 92/si 18
ZL = 297.72 ft
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Front Elementary School is putting in a new merry-go-round with a diameter of 10.4
10
.
4
feet on the playground. Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3
3
feet beyond the edge of the merry-go-round.
image
What is the approximate area of the mulch around the merry-go-round? Use 3.14
3.14
for π
π
, if required.
The approximate area of the mulch around the merry-go-round is 126.228 feet².
Diameter of the merry go round = 10.4 feet
Radius is half of the diameter.
Radius of the merry go round = 10.4/2 = 5.2 feet
Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.
Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet
Total area of the merry go round with the mulch is,
Area = π (8.2)² = 67.24π feet²
Area of the merry go round = π (5.2)² = 27.04π feet²
Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²
Hence the required area is 126.228 feet².
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A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer. (10 points)
PLEASE ANSWER FAST
The probability of drawing 2 blue marbles in a row is 9/64
What is the probability of drawing 2 blue marbles in a rowFrom the question, we have the following parameters that can be used in our computation:
Marbles = 1 + 3 + 4 = 8
Blue = 3
Selecting the first marble we have
P(Blue) = 3/8
The marble is returned
So, we have the probablility of the second to be
P(Blue) = 3/8
The probability of drawing two blue marbles is
P = 3/8 * 3/8
Evaluate
P = 9/64
Hence, the probability is 9/64
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Answer:
Since the first blue marble is replaced before the second draw, the probability of drawing a blue marble on the second draw is still 3/8, the same as the probability of drawing a blue marble on the first draw.
To find the probability of both events occurring, we can multiply the probabilities of each event:
P(drawing two blue marbles in a row) = P(drawing a blue marble on first draw) x P(drawing a blue marble on second draw)
P(drawing two blue marbles in a row) = (3/8) x (3/8)
P(drawing two blue marbles in a row) = 9/64
Therefore, the probability of drawing two blue marbles in a row is 9/64.
Step-by-step explanation:
Find the volume of this sphere.
Use 3 for TT.
V≈ [?]cm³
V = πr³
6 cm
The volume of the sphere with a diameter of 6cm is 108 cm³.
What is the volume of the sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
Where r is the radius of the sphere and π is the mathematical constant pi
Given the data in the question:
Diameter d = 6cm
Radius is half of diameter
Radius r - 6cm/2
Radius r = 3cm
Also, π = 3
Plug the given values into the above formula.
Volume = (4/3)πr³
Volume = (4/3)π3³
Volume = (4/3)(3)(27)
Volume = 108 cm³
Therefore, the volume is 108 cm³.
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Graph the equation . Y= 2/3x -1 on I ready
The equation has a slope of 2/3 and the y-intercept is -1. The graph is aatched with the answer below.
An equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of all the points on a straight line. It takes the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line intersects the y-axis). This equation allows us to easily calculate the y-coordinate of any point on the line, given its x-coordinate.
A linear graph, also known as a straight-line graph, is a graph that represents a linear equation. The x and y coordinates of each point on the line are plotted on a graph, with the x values on the horizontal axis and the y values on the vertical axis.
The resulting graph is a straight line that passes through the y-intercept (the point where the line intersects the y-axis) and has a slope equal to the coefficient of x in the equation.
Linear graphs are useful in many fields, including mathematics, science, engineering, economics, and business, as they allow us to visualize and analyze relationships between two variables that are directly proportional to each other.
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Choose the fraction that goes in the blank seven over eight > _____> three over five
The correct fraction that goes in the blank seven over eight > _____> three over five are,
⇒ 2 / 3
We have to given that;
The expression is,
⇒ seven over eight > _____> three over five
Now, We can write as;
⇒ seven over eight > _____> three over five
⇒ 7 / 8 > ___ > 3 / 5
Now, We can fill with fraction as;
⇒ 7 / 8 > 2 / 3 > 3 / 5
Thus, The correct fraction that goes in the blank seven over eight > _____> three over five are,
⇒ 2 / 3
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What does the box represent in a box plot? Select all that apply.
Select 2 correct answer(s)
A)The lower 50% of the data
B)The upper 50% of the data
C)The median
D)The range
E) The middle 50% of the data
F) The interquartile range
The box in a box plot represents the middle 50% of the data (E) and the interquartile range (F).
Use the long division method to find the result when x³ + 7x² + 15x + 25 is divided by x+ 5.
15 POINTS HELP!!!
Al and Tim each have rectangular wooden decks on their homes. Al’s deck is 4 feet wide and has an area of 60 x+40 ft². Tim’s deck is 7 feet wide and has an area of 21x+14 ft². Determine an expression for the length of each deck. How many times the length of Tim's deck is Al’s deck?
The length of Tim's deck is 1/15th of the length of Al's deck.
Finding the expressions for the length of each deck.
For Al's deck:
Area of a rectangle = length × width
60x + 40 = length × 4
length = (60x + 40) / 4
length = 15x + 10 ft
For Tim's deck:
Area of a rectangle = length × width
21x + 14 = length × 7
length = (21x + 14) / 7
length = 3x + 2 ft
Now we can find no. of times the length of Tim's deck is Al's deck by dividing the length of Al's deck by the length of Tim's deck:
(15x + 10) / (3x + 2)
Simplifying this expression:
(3(5x + 3) + 1) / (3x + 2)
(3(5x + 3) / (3x + 2)) + (1 / (3x + 2))
15 + (1 / (3x + 2))
Therefore, the length of Tim's deck is 1/15th of the length of Al's deck.
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For the given polynomials, find the sum of the squares of the real roots. :
P(x) = x^{3} - x^{2} - 18x + k
The sum of the squares of all the real roots of the polynomials = 1² + (-71) = -70
How to find the real roots of the polynomials?Using Vieta's formulas, the sum of the roots of the polynomials is 1, so the sum of the two non-positive roots is -1. Let's call these roots r and s. Then we have:
Let r and s be the non-positive roots of the polynomial P(x) = x³ - x² - 18x + k. Then we have:
r + s = -1
rs + k = 18
The sum of the squares of these roots:
r² + s² = (r + s)² - 2rs = 1 - 2(18 - k) = -35 + 2k
For the non-positive roots to be real, the discriminant of the polynomial must be non-negative, i.e.,
D = 18² - 4(1)(-k) = 72 + 4k ≥ 0
Solving for k, we get:
4k ≥ -72
k ≥ -18
So, the smallest value of k that makes the non-positive roots real is -18, and the sum of their squares is:
r² + s² = -35 + 2(-18) = -71
Finally, the sum of the roots of P(x) = 1 (by Vieta's formulas).
Therefore, the sum of the squares of all the real roots of the polynomials = 1² + (-71) = -70
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