Answer:
112
Step-by-step explanation:
The area of the parallelogram is A = 140 units²
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the area of the parallelogram be represented as A
Now , the value of A is
Let the height of the parallelogram be h = 14 units
And , base of the parallelogram b = x + y = 10 units
So , A = b x h
On simplifying , we get
The area of parallelogram A = 10 x 14 = 140 units²
Therefore , the value of A is 140 units²
Hence , the area of the parallelogram is 140 units²
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I'd like to know what is -5.33333333333 as a fraction please help me thank you very much :)
Answer:
-5 33333333333/100000000000
Step-by-step explanation:
Answer:
-5 3333333/10,000,000
Step-by-step explanation:
all u have to do is divide 5.33333333333 by how much the places there are
Given the following, determine the set (B n C)'.
U= {x|x EN and x < 10}
B = {x|x EN and x is even and x< 10}
C = {x|x E N and x < 10}
Answer:
Step-by-step explanation:
U={x|x∈N and x<10}
or U={1,2,3,4,5,6,7,8,9}
B={x|x∈N and x is even and x<10}
or
B={2,4,6,8}
C={x|x∈N and x<10}
or
C={1,2,3,4,5,6,7,8,9}
(B∩C)={2,4,6,8}
(B∩C)'={1,3,5,7,9}
The weight of a child in 1990 was 40 lb. By 2005, the child's weight
had increased to 90 lb. What was the percent increase?
Answer:
225%
Step-by-step explanation:
1. Divide the new weight by the original weight.
90/40 = 2.25.
2. Multiply by 100 to get the percentage.
2.25 x 100 = 225%
The percentage increase of the child from 1990 to 2005 is 125%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The weight of a child in 1990 was 40 lb. By 2005, the child's weight
had increased to 90 lb.
So, The amount of weight increase is (90 - 40)lb = 50lb.
∴ The percentage increase is,
= (50/40)×100%.
= 125%.
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Correct Priya's work and find the correct simplified expression.
-2(4-2x) - 3 - 2x
(A). -11 + 2x
(B). -2x - 11
(C). 2x + 11
(D). -2x + 11
Answer: A) -11+2x
Step-by-step explanation:
-2(4-2x)-3-2x =Let's find
\(\\ \rm\hookrightarrow -2(4-2x)-3-2x\)
apply distributive law
a(b-c)=ab-ac\(\\ \rm\hookrightarrow -8+4x-3-2x\)
Combine like terms
\(\\ \rm\hookrightarrow 4x-2x-8-3\)
\(\\ \rm\hookrightarrow 2x-11\)
Option APLEASE, SOMEONE, ANSWER THESE PLEASE THE ONE WITH THE CORRECT ANSWER WILL GET A LIKE AND THE CROWN BOTTON
Answer:
20,90 for the first one
50% for second one
Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary. show work
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
System of equationsGiven the following function
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The point of intersection is the point where f(x) = g(x)
x^3 - 5x^2 + 3 = - 0.5x + 2
x^3 - 5x^2 + 3 + 0.5x - 2 = 0
x^3 - 5x^2 + 0.5x + 1 = 0
Factorize and determine the value of x
x = 0.53 and 4.85
If x = 0.53
f(0.53) = -0.5(0.53) + 2
f(0.53) = -0.265 + 2
f(0.53) = 1.375
If x = 4.85
f(4.85) = -0.5(4.85) + 2
f(4.85) = -2.425 + 2
f(4.85) = -0.245
Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
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can you answer #8? (Look at the picture)
What is 3/4+5/8 in math
Answer:
3/4 + 5/8
The common denominator is 8.
6/8 + 5/8
11/8
1 3/8
:)
Question 2 Multiple Choice Worth 2 points)
(03.02)
Which of the following is a zero for the function f(x) = (x - 15)(x + 1)(x - 10)?
Answer:
The zeros of the function are: -1,10,15
Step-by-step explanation:
f(x) = (x - 15)(x + 1)(x - 10)
We can use the zero product property
0 = (x - 15)(x + 1)(x - 10)
x-15 =0 x+1 =0 x-10 =0
x=15 x = -1 x= 10
The zeros of the function are: -1,10,15
Answer:
Step-by-step explanation:
i have no clue
Factor the following natural number. If the number is prime, state so.300
To factor a number, we need to find a prime number that divides it, then we do the division and note the prime number we have got.
Then, we repeat this with the result.
So, starting with 300, we can see that it is divisable by 2, so the first factor is 2.
Making the division, we have:
\(\frac{300}{2}=150\)Now, we repeat with the result, 150.
150 is also divisable by 2, so we have another factor 2:
\(\frac{150}{2}=75\)Now, 75 is divisable by 5, so 5 is the next factor:
\(\frac{75}{5}=15\)15 is also divisable by 5, so:
\(\frac{15}{5}=3\)And 3 is prime, so it is the final factor.
Thus, we have divided by 2, by 2, by 5, by 5 and by 3, so, the factored number is:
\(300=2\cdot2\cdot5\cdot5\cdot3=2^2\cdot3\cdot5^2\)A normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95. Find the z-score of 235.90.
The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
What is mean?The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.
Given:
The standard deviation, d = 182.56,
The mean, m = 265.95,
The observation value, X = 235.90
Calculate the z score by the following formula given below,
Z = (X - m) / d,
Here, Z is the Z score,
Z = 235.90 - 265.95 / 182.56
Z = -0.165
Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
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Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.
Step 1:
Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m are equal to 153.
Step 2:
Step 2: a bar diagram shows that 20 and m is equal to s, the money now.
Enter your answer in the box.
Mrs. Reynolds has $
now.
The total amounts of money which Mrs. Reynolds now has according to the descriptions in the task content is; $68.
How much does Mrs. Reynolds have now?It follows from the task content that;
Together 105 and m are equal to 153.20 and m is equal to s.On this note;
105 + m = 153m = 153 -105 = 48Hence, it follows that the amount of money, s she has now is;
s = 48 + 20 = $68Read more on addition and subtraction;
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2 divide by 3/7 help!!!!!!!!!!!
2 on division by 3/7 yields 14/3.
For the division of two fractions, we need to multiply the first fraction with the reciprocal of the second. Reciprocal of a fraction means interchanging the numerator and denominator ie, the reciprocal of a is 1/a, the reciprocal of p/q = q/p, and so on.
For example, if a/b and c/d are the fractions the a/b ÷ c/d = a/b x d/c =ad/bc.
Implementing the same method to solve this question,
We have 2/1 = 2 as the first and 3/7 as the second fraction. Thus,
2 ÷3/7 =2 x 7/3 = 14/3. So 14/3 is the answer.
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What is the conjugate of 5 - 4i?
Answer:
5 + 4i
Step-by-step explanation:
In general, the conjugate of a + bi is a - bi
Please answer this correctly
Answer:
0
Step-by-step explanation:
No one is there which satisfies the condition
Answer:
0 or 0/9 of the club members
Step-by-step explanation:
The only part of the data of members that have logged more than 1 1/5 but less than 1 3/5 hours is the members that logged 1 2/5 hours. There are no members that have logged 1 2/5 hours so our answer is 0 or 0/9.
Please help me in this math problem
Answer:
Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!
20% percent tip on 8 dollar
Answer:
9.60 dollars tip is $1.60
Step-by-step explanation:
Which function has a greater maximum?
�
(
�
)
=
−
2
(
�
+
4
)
2
+
1
f(x)=−2(x+4)
2
+1f, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, plus, 4, right parenthesis, squared, plus, 1
A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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Subjective probabilities Group of answer choices are often inaccurate. are seldom used in management decisions. are usually identical to objective probabilities. all of the above.
Answer:
are often inaccurate.
Step-by-step explanation:
Subjective probability can be defined as the probability of an event happening based on the opinion, personal judgment, perception or experience of a person.
This ultimately implies that, subjective probabilities are not based evidence, quantitative results, facts, historical or empirical data (informations) and as a result, they are considered to be inaccurate.
Hence, subjective probabilities are often inaccurate.
An example of subjective probability is a financial advisor stating that, there is a 20% chance that the price of a security will increase by next week.
The table gives information about the speeds, in kilometres per hour, of 80 motorbikes as each pass under a bridge.
Speed
(s kilometres per hour) Frequency
40 < s 50 10
50 < s 60 16
60 < s 70 19
70 < s 80 23
80 < s 90 12
(a) Write down the modal class
(b) Work out an estimate for the mean speed of the motorbikes as they pass under the bridge.
Give your answer correct to 3 significant figures.
The modal class is 70 - 80 and the mean speed is 66.4
How to determine the modal class?The table of values is given as:
Speed Frequency
40 - 50 10
50 - 60 16
60 - 70 19
70 - 80 23
80 - 90 12
The modal class is the class with the highest frequency
The class 70 - 80 has the highest frequency of 23
Hence, the modal class is 70 - 80
How to determine the mean?Rewrite the frequency table to include the class midpoints
x f
45 10
55 16
65 19
75 23
85 12
The estimate of the mean speed is then calculated as:
\(\bar x =\frac{\sum fx}{\sum f}\)
So, we have:
\(\bar x = \frac{45* 10 + 55 * 16 + 65 * 19 + 75 * 23 + 85 * 12}{80}\)
Evaluate
\(\bar x = 66.4\)
Hence, the mean speed is 66.4
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Two systems of linear equations in two variables, x and y, are given.
System P:
(3x-10y=8
7x+2y=6
The two systems have the same solution..
What are the values of b and c?
b=
System T:
bx - 10 y + 10 y = 38
cx + 10 y = 30
=
C =
Answer:
Step-by-step explanation:
if angle poa is a right angle and if measure of angle coa is three times as large as measure angle poc.
The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.
POA is a right angle so it is 90 degrees.
POC +COA = 90 .....(1)
Also, POC is 3 times as large as COA.
Let's take COA, "x"
POC = 3x
Substituting the values in equation (1) as follows:
x + 3x = 90
4x = 90
x= 22.5
Therefore,
COA = 22.5°
POC = 22.5*3 = 67.5°
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Please answer this before friday
Answer: 21:9 and 42:18
Step-by-step explanation:
14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.
21:9 is our simplified ratio multiplied by 3 on both sides.
42:18 is our simplified ratio multiplied by 6 on both sides.
But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.
Solve the equation and enter the value of x below. x- (-1) = 50 Answer here
The required value of x is 49.
What is expression?A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical procedure. It is possible to multiply, divide, add, or subtract in arithmetic.
According to question:Simplifying the left side of the equation, we get:
x - (-1) = x + 1
So the equation becomes:
x + 1 = 50
Subtracting 1 from both sides, we get:
x = 49
Therefore, the value of x is 49.
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Multiply 9/8 x 7/8 what is it fraction?
Answer:
63/8
Step-by-step explanation:
For this question all you have to do is times the 9 and 7 and put the denominator(in this case 8) underneath to make a fraction. The answer totals as 63/8 or 7 and 7/8.
7 Select the correct answer. A scientist is trying to predict the reglors of the world most likely to see a decrease in natural resources from population changes. Based on the evidence in the graph, what should the scientist conclude?
Answer:
A
Step-by-step explanation:
Find the area of the shaded sector of the circle.
The area of the shaded sector of the circle is 7.27 m^2
What is the area of a circle?The area of a circle is the amount of two-dimensional space taken up by the circle. It can be calculated by using the formula A = πr2, where A is the area, π is 3.14, and r is the radius of the circle. The radius is the distance from the center of the circle to any point on the circle. The diameter of a circle, which is the distance from one side to the other, is twice the radius. Therefore, the area of a circle can also be calculated by using the formula A = πd2/4, where d is the diameter of the circle.
The area of the shaded sector of the circle is 7.27 m^2.
This can be calculated using the formula A = (π/180) x r^2 x θ, where r is the radius (18 m in this case), and θ is the angle in degrees (110° in this case).
Therefore, A = (π/180) x (18^2 x 110) = 7.27 m^2.
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g What are the dimensions that will maximize the area of the window if you have 20 ft total for the perimeter of the window
2.
TIME REMAINING
01:57:49
Three times a number is three more than twice the number. Which equation can be used to find the value of x, the
unknown number?
O 3x = 3 + 2x
O x = 3 + 2x
O 3x + 3 = 2x
O 3x = 3 + 2 + x
Mark this and return
Save and Fxit
Moy
The correct expression for the given situation is,
⇒ 3x = 3 + 2x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''Three times a number is three more than twice the number.''
Now, Let a number = x
Hence, We get;
The correct expression for the given situation is,
⇒ 3x = 3 + 2x
Thus, The correct expression for the given situation is,
⇒ 3x = 3 + 2x
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which table shows a proportional relationship between x and y ?
Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:
\(k = \frac{y}{x}\)
Where k is the constant of proportionality.
In table (A)
x = 2, y = 4
\(k = \frac{y}{x}\)
\(k = \frac{4}{2}\)
\(k = 2\)
x = 4, y = 9
\(k = \frac{y}{x}\)
\(k = \frac{9}{4}\)
\(k = 2.25\)
Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4
\(k = \frac{y}{x}\)
\(k = \frac{4}{3}\)
\(k = 1.33\)
x = 9, y = 16
\(k = \frac{y}{x}\)
\(k = \frac{16}{9}\)
\(k = 1.78\)
Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12
\(k = \frac{y}{x}\)
\(k = \frac{12}{4}\)
\(k = 3\)
x = 5, y = 15
\(k = \frac{y}{x}\)
\(k = \frac{15}{5}\)
\(k = 3\)
x = 6, y = 18
\(k = \frac{y}{x}\)
\(k = \frac{18}{6}\)
\(k = 3\)
This shows a proportional relationship because all values of k are the same for this table