Answer: D. Parallelogram
Step-by-step explanation: Step 1. Input all the points on a graph, there's not really much to it, sorry if I didn't help but the answer is D
India’s population has increased steadily from 439 million in 1961 to 1028 million in 2001. Find the total increase in population of India from 1961 to 2001.
Answer:
Total Increase in Population of India from 1961 to 2001 = 1028-439 million = 659 million
if 1 m3 = 1000 liters, and the town has a population of 500 people, when will they run out of water if each person consumes 10 liters of water per day. Use 3.14 for pi and round to the nearest tenth.
Based on the information, the town will run out of water in 1 hour.
How to calculate the valueThe town has a total water consumption of 500 people * 10 liters/day = 5000 liters/day.
The town has a water supply of 5000 liters/day / 1000 liters/m³ = 5 m³
The town will run out of water in 5 m³/ 5000 liters/day = 0.01 days = 1 hour.
Time to run out of water = Total water supply / Total water consumption per day = 5000 liters / 5000 liters/day
= 1 hour
Therefore, the town will run out of water in 1 hour.
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The rectangular prism below has a base area of 24.1 units² and a height of 7 units. Find its volume.
The volume of the rectangular prism is 168.7 cubic units.
The volume of a rectangular prism can be calculated using the following formula:
V = base area x height
A prism is a polyhedron in three dimensions with two identical ends.
In this case, the base area is 24.1 units² and the height is 7 units.
Let the base area can be represented as B and the height be described as H,
then volume can be rearranged as,
V = BH
Here:
B = 24.1 units²
H = 7 units
When these values are entered into the formula, we get:
V = 24.1 x 7
V = 168.7
Therefore, the volume of the rectangular prism is 168.7 cubic units.
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Find solution
A)- 5x+7y > 2
B)2x-5y<-7
(Worth 40 Brainly points help quickly)
The critical point in the solution of the equation -5x + 7y > 2 and 2x - 5y < -7 using graph is
(3.5, 2.8)
How to find the solution
The solution of the inequality equation s given as
A) -5x + 7y > 2
B) 2x - 5y < -7
would be solved by graphical method
Using the graph the point of the intersection of the two lines is the critical points of the solution. The critical point from the graph is (3.5, 2.8)
The solution also entails the areas or points covered in the areas where the two shades superimpose.
The graph showing the solution is attached
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The masses in kilograms of 20 bags of maize were;90,94,96,98,99,102,105,91,102,99,105,94,99,90,94,99,98,96,102,and 105.i state the mode ii calculate the mean mass per bag
The mean mass per bag is 99 kilograms.
The mode is the value that appears most frequently in a dataset. In the given dataset of bag masses, the mode would be the mass value that occurs most often. Let's find the mode.
The masses of the bags are:
90, 94, 96, 98, 99, 102, 105, 91, 102, 99, 105, 94, 99, 90, 94, 99, 98, 96, 102, and 105.
To find the mode, we can simply count the frequency of each mass value and identify the one that appears most often:
90 appears twice
94 appears three times
96 appears two times
98 appears two times
99 appears four times
102 appears three times
105 appears three times
91 appears once
Therefore, the mode in this dataset is 99, as it appears most frequently.
To calculate the mean mass per bag, we need to sum up all the masses and divide by the number of bags. Let's calculate it:
Sum of masses = 90 + 94 + 96 + 98 + 99 + 102 + 105 + 91 + 102 + 99 + 105 + 94 + 99 + 90 + 94 + 99 + 98 + 96 + 102 + 105
Sum of masses = 1980
Number of bags = 20
Mean mass per bag = Sum of masses / Number of bags
Mean mass per bag = 1980 / 20
Mean mass per bag = 99 kilograms
Therefore, the mean mass per bag is 99 kilograms.
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A certain television is advertised as a 85-inch TV (the diagonal length). If the width of the TV is 67 inches, how tall is the TV? Round to the nearest tenth of an inch.
The height of the TV is approximately 52.3 inches when rounded to the nearest tenth of an inch.Hence, the TV is approximately 52.3 inches tall.
To find the height of the TV, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the diagonal) of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the width and height of the TV form the legs of a right triangle, with the diagonal as the hypotenuse.
Let's denote the height of the TV as h. According to the Pythagorean theorem:
h² + 67² = 85²
Simplifying the equation, we have:
h² + 4489 = 7225
Subtracting 4489 from both sides, we get:
h² = 2736
Taking the square root of both sides, we find:
h ≈ 52.3.
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1 A circle has a radius of 6 cm. Write down the circumference of the circle in terms of pi [1 mark]
Answer:
The circumference of the circle is 12pi cm.
Answer:
The circumference of the circle is 12π cm.
that's the answer
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the blanks !! Please
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From the origin, move 3 units to the right, and then move 9 units up is the intersection of the graphs of the two equations be located on a coordinate grid
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
Given that solution to a system of two linear equations is x = 3: y = 9.
We need to find how the intersection of the graphs of the two equations be located on a coordinate grid
As we know that the numbers on right side of zero are positive and number of upside of zero on y axis are positive.
As x=3 which is positive
y=9 which is positive.
So From the origin, move 3 units to the right, and then move 9 units up is the intersection of two equations
Hence, From the origin, move 3 units to the right, and then move 9 units up is the intersection of the graphs of the two equations be located on a coordinate grid
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Bitti’s father wants to fence his rectangular farm with sides measuring 100m
and 300m. What is the length of fencing needed?
Answer:
Step-by-step explanation:
A retirement account is opened with an initial deposit of $8,000 and earns 7.12% interest compounded monthly. What will the account be worth in 25 years?
Step-by-step explanation:
Future Value = Present Value ( 1 + i)^n
i = decimal interest per PERIOD (.0712/12)
n = periods = 25 * 12 = 300 months
Future value = 8000 ( 1 + .0712/12)^300 = $ 47189.98
Answer:
Step-by-step explanation: Take the amount he started with, 8,000, our coefficient, and since it is being increased by 7.12 percent, therefore, we put it all together, and that will be 8000(1.712) to the power of five which is.. 117,654.56 dollars (you're welcome)
What number lies exactly halfway between 1/5 and 1/9?
Answer:
7/45
Step-by-step explanation:
What number lies exactly halfway between 1/5 and 1/9?
you have to find the mean of the two fractions, adding and then dividing by two
(1/5 + 1/9) : 2 =
14/45 : 2 =
7/45
you local gym wants to estimate the mean amount of time (in hours) that their members spend each week at their center. They would like a 95% confidence interval with a margin of error of 30 minutes. based on previous data, they know that the population standard deviation is 2.2 hours. What is the smallest size that will allow this confidence interval to be built?
The smallest size that will allow this confidence interval to be built is given as follows:
n = 75.
What is a z-distribution confidence interval?The bounds of the confidence interval are given by the rule presented as follows:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is calculated as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The desired margin of error is of M = 0.5, as we have the time in hours, with [tex]\sigma = 2.2[/tex], hence the sample size is obtained as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.5 = 1.96\frac{2.2}{\sqrt{n}}[/tex]
[tex]0.5\sqrt{n} = 1.96 \times 2.2[/tex]
[tex]\sqrt{n} = \frac{1.96 \times 2.2}{0.5}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96 \times 2.2}{0.5}\right)^2[/tex]
n = 75 -> rounded up.
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For a quadrilateral to be a square, the diagonals must be ________________. Responses perpendicular perpendicular, EndFragment, congruent and perpendicular congruent and perpendicular, EndFragment, parallel parallel, EndFragment, congruent congruent, EndFragment,
Answer: Congruent and Perpendicular
Step-by-step explanation:
If diagonals of a quadrilateral bisect each other then it is a rectangle and if they are perpendicular as well then it is a square.
SALE
50% OFF!
The original price of a concert ticket is $66. How much will Janelle pay if she buys it during the sale?
$
Answer:
$33-------------------
Original price is $66 and the sale price is 50% off, so the sale price is:
$66 - 50% of $66 = $66 - $33 = $33Janelle will pay $33 for the ticket.
A library can seat 48 patrons in the quiet study area. There are 8 tables and each table will need to have the same amount of chairs. Let c represent the number of chairs at the library. Part A Which equation represents the number of chairs at each table in the library? 48 = 8c c = 8 + 48 c = 8 × 48 48 = 8 + c Part B Select the correct value to complete the statement. Each table at the library will have 7 6 8 chairs
Step-by-step explanation:
Part A
The equation that represents the number of chairs at each table in the library is: 48 = 8c
Part B
To find the correct value, we'll solve the equation from Part A:
48 = 8c
c = 48 ÷ 8
c = 6
So, each table at the library will have 6 chairs.
select the correct button in the table to show wether each pair of angles is alternate interior,corresponding or same-side exterior angles
The correct relationship between the angles are:
(1) Corresponding angles(2) Alternate interior angles(3) Corresponding angles(4) Corresponding angles(5) Alternate exterior angles(6) Alternate exterior anglesSelecting the correct relationship between the anglesFrom the question, we have the following parameters that can be used in our computation:
The figures (see attachment)
Using the figures and the definition of angle relationships, we have the relationships of the angles to be:
(1) Corresponding angles(2) Alternate interior angles(3) Corresponding angles(4) Corresponding angles(5) Alternate exterior angles(6) Alternate exterior anglesRead more about angles at
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3/4 of students in a certain school credited Igbo language in 2013 WAEC result,5/9 credited Agriculture. Every student in the school credited at least one of the two subjects. If 22 students credited both Igbo and Agriculture, how many students are in the school.represent in a Venn diagram
There are 72 students in the school.
The number for Igbo language = 54
The number for Igbo language = 40
The Venn diagram is attached
how to find the number of students in the schoolAssuming that the total number of students in the school is x.
Information from the problem
3/4 of students credited Igbo language and
5/9 credited Agriculture.
every student in the school credited at least one of the two subjects. hence we have that
3/4x + 5/9x - 22 = x
Simplifying this equation gives
3/4x + 5/9x - x = 22
11x / 36 = 22
11x = 36 * 22
x = (36 * 22) / 11
x = 72
The number for Igbo language
= 3/4 * 72 = 54
The number for Igbo language
= 5/9* 72 = 40
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An examiner marks 70 papers. The mean mark is 68 per paper. What is the total number of marks awarded by the examiner?
Step-by-step explanation:
70 x 68 = 4760 marks
# mrks / 70 papers = 68 marks/paper
# marks = 70 papers * 68 marks/paper
please help with this
The complete polynomial is f(x) = 2x⁴ - 3x² - 6 and the values are n = 4 and a = -3
Calculating the values of a and nFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2xⁿ + ax² - 6 is divided by (x - 1), the remainder is -7f(x) = 2xⁿ + ax² - 6 is divided by (x + 3), the remainder is 129This means that
f(1) = 7
f(-3) = 129
So, we have
f(1) = 2(1)ⁿ + a(1)² - 6
f(-3) = 2(-3)ⁿ + a(-3)² - 6
Evaluate
f(1) = 2 + a - 6
f(-3) = 2(-3)ⁿ + a(-3)² - 6
Recall that
f(1) = -7 and f(-3) = 129
So, we have
2 + a - 6 = -7
2(-3)ⁿ + 9a - 6 = 129
This gives
a = -3
Recall that
2(-3)ⁿ + 9a - 6 = 129
So, we have
2(-3)ⁿ + 9(-3) - 6 = 129
2(-3)ⁿ = 162
Divide by 2
(-3)ⁿ = 81
Solve for n
n = 4
So, the complete polynomial is f(x) = 2x⁴ - 3x² - 6
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Given an isosceles triangle with a base length of 30 and a median (drawn from the vertex
angle) length of 21, what is the length of a leg?
The length of each leg is 14.69 in the triangle
In an isosceles triangle, the median drawn from the vertex angle also acts as an altitude, dividing the triangle into two congruent right triangles.
Let the length of one of the legs of the triangle "x".
Using the Pythagorean theorem, we can write:
x²+ (15)² = (21)²
x² + 225 = 441
x² = 441 - 225
x² = 216
Taking the square root of both sides, we find:
x = √216
x =14.69
Therefore, the length of each leg is 14.69 in the triangle
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Solve the following inequality, indicate the number of solutions and plot the solutions on a number line.
d. 3(x + 3) + 12 ≤ 3x + 28
Let's start by simplifying the left side of the inequality:
3(x+3) + 12 <= 3x + 28
3x + 9 + 12 <= 3x + 28
3x + 21 <= 3x + 28
Subtracting 3x from both sides, we get:
21 <= 28
This is a true statement, which means that the inequality is true for all values of x. In other words, there are infinitely many solutions.
To represent this graphically, we can draw a number line and shade in all values of x for which the inequality is true. Since it's true for all values of x, we shade in the entire number line:
<=======()------------------->
In this number line, the open circle () indicates that the inequality is not true for that particular value (in this case, there is no specific value for x that makes the inequality false). The arrow indicates that the inequality is true for all values of x to the left and right of the open circle.
In summary, the inequality 3(x+3)+12 <= 3x+28 is true for all values of x, and there are infinitely many solutions.
I'm 15 BTW
Make a table for the function f(x) = 3 * (3/4) ^ x using the input values x = - 3, - 1, 0, 1, 3 Then graph the function using the ordered pairs from the table as a guide. Describe the function you graphed . The function is an exponential growth function. The function is a linear function with negative slope . The function is a linear function with a positive slope . The function is an exponential decay function
Here is the table for the function f(x) = 3 * (3/4) ˣ:
x f(x)
-3 16.000
-1 4.000
0 3.000
1 2.250
3 1.688
The function is an exponential decay function
How to know the value type of functionf(x) = 3 * (3/4) ˣ, in the given exponential function the starting function is
3. The base is 3/4.
The base is what determines exponential decay or growth. The condition for determining exponential growth or exponential decay is
exponential growth, has a factor greater than 1exponential decay, has a factor less than 1The base function here is a factor which is 3/4 = 0.75 and less than one and hence a decay function
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- Suppose y varies directly as x. If y = -7 when x = -14, find y when x=3
Answer:1.5
Step-by-step explanation:
Y=1/2 of x
tudent Progress Examination (SPE) MATHEMATICS Year 5. (a) A piece of steel wire, measuring 240 cm long, is used up completely to form 4 identical squares as shown below. Find the length of each side of the square. NOT TO SCALE Ans: cm (2)
The final price of the textbook for an English literature course is 12% more than the listed price when tax and shipping costs are included. If the listed price is $130, what is the final price of the textbook?
(Round to the nearest dollar.)
The final price of the textbook for an English literature course, which is 12% more than the listed price of $130 when tax and shipping costs are included, is $145.60.
How the final price is determined:The final price of the textbook includes the costs of tax and shipping of 12%, which is added to the listed price.
The final price of the textbook can be computed, using the increase factor, as follows:
The listed price = $130
The increase in the final price = 12%
12% = 0.12 (12/100)
Increase factor = 1.12%
The final price = $145.60 ($130 x 1.12)
Thus, when adding 12%, which represents the tax and shipping costs, to the listed price, the final price is $145.60.
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Find the probability that when a couple has five children, at least one of them is a girl (Assume that boys and girls are equally likely)
[tex]A[/tex] — at least one of the children is a girl
[tex]A'[/tex] — none of the children is a girl
[tex]P(A)=1-P(A')\\\\|\Omega|=2^5=32\\|A'|=1\\\\P(A')=\dfrac{1}{32}\\\\P(A)=1-\dfrac{1}{32}=\dfrac{31}{32}\approx96.9\%[/tex]
Answer:
The probability that when a couple has five children, at least one of them is a girl is 31/32 or approximately [tex]0.96875.[/tex]
Explanation:
We can determine the probability of having at least one girl by using the complement rule, which states that the probability of an event occurring is equal to one minus the probability of the event not occurring. In this case, the event of interest is having at least one girl among five children and the complement is having only boys among five children.
Since there are two equally likely outcomes (boy or girl) for each child and the events are independent, we can find the probability of having all boys by multiplying the probabilities of each individual event together: (1/2)^5 = 1/32.
So, the probability of having at least one girl is 1 - 1/32 = 31/32 or approximately 0.96875.
One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)
Step-by-step explanation:
ab = 72 then a = 72/b sub into first equation
72/b * b^4 = 48
72 b^3 = 48
b^3 = 48/ 72
b = .87358
then a = 72/b = 82.4194
The value of 'b' in the ordered pair that satisfies the equations ab^4 = 48 and ab = 72 can be found by expressing 'a' in terms of 'b' from the second equation, substituting into the first and solving for 'b'. The final answer is b = cuberoot(2/3).
Explanation:The subject of this problem is about finding the value of b in an ordered pair (a, b) that satisfies the given equations ab^4 = 48 and ab = 72.
From the second equation, we could express 'a' as a = 72/b. Now, let's substitute 'a' into the first equation, the new equation becomes (72/b) * b^4 = 48. Simplifying this gives b^3 = 48/72 = 2/3, taking the cube root of both sides obtains the value of b which is cuberoot(2/3).
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Out of 400 people sampled, 48 said they want to live in a big city. With 95% confidence, what is the approximate percentage of people in the population who want to live in a big city?
Answer:
Step-by-step explanation:
Divide 400 by 48 people who wants to live in a city.
400 / 48 = .12 is 12%
find the value of a + b if
The value of the given fraction is 18.
Given is fraction, [tex]\frac{2+\sqrt{5} }{2-\sqrt{5}} +\frac{2-\sqrt{5} }{2+\sqrt{5}}[/tex], we need to show it in a+b√5 form,
So,
[tex]\frac{2+\sqrt{5} }{2-\sqrt{5}} +\frac{2-\sqrt{5} }{2+\sqrt{5}}\\\\\\= \frac{(2+\sqrt{5})^2+(2-\sqrt{5} )^2 }{(2+\sqrt{5})(2+\sqrt{5} ) } \\\\\\= \frac{4+5+4\sqrt{5}+4+5-4\sqrt{5} }{2^2-\sqrt{5}^2 } \\\\\\= 18[/tex]
Hence the value of the given fraction is 18.
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Solve the right triangle. Round decimal answers to the nearest tenth. Find m/_C. Can you help me guys with this question please?
The measure of angle C is 13. 94 degrees
How to determine the valueTo determine the value of the angle, we need to know the six different trigonometric identities.
These identities are;
tangentcotangentsecantcosecantsinecosineFrom the information given, we have that;
The Hypotenuse side of the triangle ABC = 34
the adjacent side of the triangle = 33
Using the cosine identity, we have that;
cos C= adjacent/hypotenuse
cos C = 33/34
Divide the values
cos C = 0. 9706
Find the inverse
C = 13. 94 degrees
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