one side of parallelogram is 16 cm and its perimeter is 48 cm find the length of the remaining side
Step-by-step explanation:
a parallelogram has 2 pairs of equation sides (as a rectangle, just not necessarily with the 90° angles).
so, when one side is 16 cm, then there is a second side with 16cm.
the perimeter is the sum of all 4 sides (the 2 pairs of sides) : 48 cm.
and we know the length of one of these pairs : 2×16 = 32 cm.
what is left for the second pair of sides ?
48 - 32 = 16 cm
so, these 16 cm is the sum of a pair of equally long sides. that means their are
16/2 = 8 cm
long each.
so, the length of the "remaining" side is 8 cm.
two brothers each purchased a new pair of hiking boots and two canteens the hiking boots cost $34.00 each and the total of their purchase was $98.00 what was the cost of each canteen
Answer:
Ok this is easy you got this!
Step-by-step explanation:
Ok so, we know their over total is 98.00, we also know that the boots cost $34 each
lets start with 34+34= 68
now we are going to take that from 98
98-68=30
now because they bought two canteens we will divide 30 by 2
30 divided by 2 is 15
the cost of each canteen is $15
Table 3.1 Quantity Demanded Price per Unit Quantity Supplied 10 $5 50 20 $4 40 30 $3 30 40 $2 20 50 $1 10 Refer to Table 3.1. If the government imposes a price of $2, O a surplus equal to 20 units wil
Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.
To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.
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the complete question is:
Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.
is it true that no irrational numbers are whole numbers ?
Answer:
Explanation:
Rational Numbers are numbers that can be represented as a repeating or terminating decimal.
Examples are:
\(0.5,0.\bar{3},\frac{2}{5},etc.\)Therefore, Irrational numbers cannot be represented as a terminating decimal.
\(undefined\)Two events are independent. The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%. What is the probability that you will see the movie in theater one and sit in the front row
The probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.
What is probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.A probability formula can be used to calculate the probability of an event by simply dividing the favorable number of outcomes by the total number of possible outcomes.To find the probability that we will see the movie in theater one and sit in the front row:
Given -
The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%.So,
(1/4)(1/10) = 1/40 = .025 Or, 2.5%Therefore, the probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.
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The correct question is given below:
Two events are independent. The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%. What is the probability that you will see the movie in theater one and sit in the front row.
(A) 40%
(B) 35%
(C) 4%
(D) 2.5%
Please help me before my mom starts yelling at me about not gettting my assignments done
Answer:
D. no solutions
Please Help!!!!! It’s math and I don’t know!!!!
Answer:
its C
Step-by-step explanation:
Help pls....... ??? . .
Answer:
wheres the problem?
Step-by-step explanation:
cylindrical container needs to be constructed such that the volume is a maximum. if you are given 20 square inches of aluminum to construct the cylinder, what are the radius and height that would maximize the volume?
To maximize the volume of a cylindrical container given 20 square inches of aluminum, the radius and height should be chosen such that the volume is maximized.
Let's denote the radius of the cylinder as r and the height as h. The formula for the volume of a cylindrical container is V = πr^2h. We are given that the total surface area (excluding the top and bottom) of the cylinder is 20 square inches, which can be expressed as 2πrh.
From the surface area equation, we can solve for h in terms of r: h = 20 / (2πr) = 10 / πr.
Substituting this expression for h into the volume equation, we have V = πr^2 (10 / πr) = 10r.
To maximize the volume, we differentiate the volume equation with respect to r and set it equal to zero: dV/dr = 10 = 0.
Solving for r, we find that r = 0.
However, since a radius of zero does not make physical sense, we conclude that there is no maximum volume possible with the given constraints.
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Which of the following points is not a solution of the inequality y ≥ |x| + 3?
(-3, 6)
(0, 4)
(-3, 0)
========================================================
Explanation:
If we plug the coordinates of point A into the inequality, then we get
y ≥ |x| + 3
6 ≥ |-3| + 3
6 ≥ 3 + 3
6 ≥ 6
Which is true. Since we're looking for a non-solution, we rule out choice A.
You should find choice B is a similar story to choice A, so we can rule this out as well.
-----------
Choice C is the answer because
y ≥ |x| + 3
0 ≥ |-3| + 3
0 ≥ 3 + 3
0 ≥ 6
which is false.
Check out the graph below and notice how point C is not in the shaded solution region, and it's not on the boundary either. This is a visual way to quickly find the answer.
The boundary line y = |x|+3 is solid because of the "or equal to". We shade above the boundary line due to the greater than sign.
K
Catherine bought apples and pears for a school picnic. The total number of pieces of fruit that she
bought was less than 100. She bought more apples than pears. Use this information for the following
problem.
www
elp
Apples and pears were purchased by Catherine for the school picnic. The right formula will be y = 100-x and y < x if the total number of fruits is less than 100.
What is meant by equation?Equations are mathematical expressions with two algebraic operators on either side of the equal (=) symbol. To illustrate this relationship, the phrases on the left and right are shown to be equal to one another. A basic, straightforward equation is L.H.S. = R.H.S. (left-hand side = right side).
As per the given data in the equation,
Catherine bought apple and pears.
The overall quantity is less than 100
Let the number of apples is x and,
The number of pears is y.
She bought more apples than pears,
y < x.
And y < 100 - x.
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Let X be the number of screws delivered to a box by an automatic filling device.
Assume = 1000 and
2 = 25. There are problems with too many screws going
into the box or too few screws going into the box.
a. How many units to the right of is 1009? (5 marks)
b. What X value is 2. 6 units to the left of ? (4 marks
There are approximately 0.1480 standard deviations (or 3.7 screws) to the right of the mean when there are 1009 screws in the box. When the automatic filling device delivers 1065 screws to the box, there are approximately 2.6 standard deviations (or 65 screws) to the left of the mean.
To answer this question, we need to use the normal distribution formula.
a. To find how many units to the right of 1000 is 1009, we need to calculate the z-score:
z = (X - μ) / σ
where X = 1009, μ = 1000, and σ = 25.
z = (1009 - 1000) / 25 = 0.36
Using a standard normal distribution table or calculator, we can find that the probability of getting a z-score of 0.36 or higher is 0.3520.
To convert this probability to units to the right of the mean, we subtract it from 0.5 (which represents the area to the left of the mean):
units to the right = 0.5 - 0.3520 = 0.1480
Therefore, there are approximately 0.1480 standard deviations (or 3.7 screws) to the right of the mean when there are 1009 screws in the box.
b. To find the X value that is 2.6 units to the left of the mean, we can rearrange the formula:
X = μ - zσ
where z = -2.6 (since we want units to the left of the mean) and μ and σ are the same as before.
X = 1000 - (-2.6) * 25 = 1065
Therefore, when the automatic filling device delivers 1065 screws to the box, there are approximately 2.6 standard deviations (or 65 screws) to the left of the mean.
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What is the slope of (-9,4) (-12,8)?
Answer: -5/3
Step-by-step explanation:
Answer: m = -4/3
Step-by-step explanation:
If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .
Which of these expressions is equivalent to 30b2?
A 3b + 10b
B 3b. 10b
c9b +21b
D 9b21b
Answer:
B) 3b. 10b
Step-by-step explanation:
B) 3b. 10b = (3x10)(bxb) = 30b²
Stephen uses \dfrac{2}{25}
25
2
start fraction, 2, divided by, 25, end fraction kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1
10
1
1, start fraction, 1, divided by, 10, end fraction kilograms of tofu.
How many servings can Stephen make?
Answer:
\(13\dfrac{3}{4}$ servings\)
Step-by-step explanation:
Stephen uses \(\dfrac{2}{25}\) kilograms of tofu in each serving of his dish.
He has \(1\dfrac{1}{10}\) kilograms of tofu.
We want to determine how many servings Stephen can make.
To do this, we divide the total weight of tofu by the weight per serving.
\(\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div \dfrac{2}{25}\\\\= \dfrac{11}{10}X \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings\)
Stephen can make \(13\dfrac{3}{4}$ servings\) .
Melinda has 1 seashell, and Jun has 9 seashells. If Melinda and Jun put their seashells together and then divide them up equally, how many will each one of them have?
A balance diagram going from 1 to 9. The mean is 5. Circles are above 1 and 9.
3
5
8
10
Answer:
B: 5
Step-by-step explanation:
edg2020
The answer is 5.
1+9=10
10 divided by 2 is 5.
Steps to solve below
The mean is the average of a list of numbersTo find the mean add all the values in the data setThen divide the total number of values So divide the amount of all the data values add together by how many values we need to add
Hope this helps
In an effort to eradicate west Nile mosquitoes from Mosquito Town, you started spraying the town periodically with the chemical called Moskiller. It is estimated that the 2,450,000 mosquitoes decrease at the rate of 50% per year.a. Using the rule of 70, estimate the half-life of Moskiller. Round to two decimal places.b. Using the estimated half-life and assuming that the rate is steady, find the number of mosquitoes remaining after 6 years. Assume no new mosquitoes were born in that period.
Given:
The 2,450,000 mosquitoes decrease at the rate of 50% per year.
The general equation of the half-life time is:
\(P(t)=P_0\cdot(\frac{1}{2})^{\frac{t}{h}}\)A) Using the rule of 70,
The half-life = 1.4 years
B) Using the estimated half-life and assuming that the rate is steady, find the number of mosquitoes remaining after 6 years.
so, we will substitute with:
t = 6 years and h = 1.4 years, to find the number after 6 years
So,
\(P=2,450,000\cdot(\frac{1}{2})^{\frac{6}{1.4}}\approx125,614\)so, the answer will be:
The number of mosquitoes remaining after 6 years = 125,614
If Harry travels 10 and 4/10 of a mile in 5 hours on his broomstick. How far will he travel in 1 hour?
Group of answer choices
5 and ½ miles per hour
2 and 2/25 miles per hour
52 miles per hour
2 and ½ miles per hour
Answer:
2 and 2/25 miles per hour.
Step-by-step explanation:
Harry's speed = distance / time
= 10 4/10 / 5
= 104/10 * 1/5
= 104/50
= 2 4/50
= 2 2/25
Question: 4. P(Z < z) = 0.9251 a.) -0.57 b.) 0.98 c.) 0.37 d.) 1.44 e. ) 0.87 1 5
The value of z that satisfies P(Z < z) = 0.9251 is approximately 1.44(d).
The question asks for the value of z that corresponds to a cumulative probability of 0.9251.The value of z represents the standard score or z-score, which corresponds to a particular cumulative probability.To find this value, we can use a standard normal distribution table or a statistical software.
By looking up the closest probability value in the table, we find that the corresponding z-value is approximately 1.44. Therefore, the answer is option (d) 1.44.
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Help Asap due Tomorrow in morning. Thanks if you help!
Answer: C. 54cm^2
Step-by-step explanation:
Break the shape into 2 pieces and multiply the sides. ex. 12 by 2 and 8 by 5 and then add the 2 answers to get 54cm
help im new and need help please the thing is 9.9 x 7 =__._ help please
Answer:
69.3 is the answer
{ Hello and welcome to Brainly :) i hope i helped }
Answer:
69.3
Step-by-step explanation:
Welcome to brainly, I hope you have a good time.
2. A family of 4 is making hamburgers for dinner, How many pounds of beef are needed if each person will eat two hamburgers?
Answer:
3
Step-by-step explanation:
was
Make p the subject of m=3n+2p
Answer:
\(n = \frac{m - 2p}{3} \\ \\ p = \frac{m - 3n}{2} \)
Step-by-step explanation:
\(1. \: m - 2p = 3n \\ 2. \: \frac{m - 2p}{3} \\ 3. \: n = m - 2p \\ \\ 1. \: m - 3n = 2p \\ 2. \: \frac{m - 3n}{2} = p \\ 3. \: p = \frac{m - 3n}{2} \)
Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. (Data Source: These data were obtained from the National Center for Health Statistics. ) Suppose a counseling psychologist sets out to look at the role of having children in relationship longevity. A sample of 78 couples with children score an average of 51. 1 with a sample standard deviation of 4. 7 on the Marital Satisfaction Inventory. A sample of 94 childless couples score an average of 45. 2 with a sample standard deviation of 12. 1. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction.
Suppose you intend to conduct a hypothesis test on the difference in population means. In preparation, you identify the sample of couples with children as sample 1 and the sample of childless couples as sample 2. Organize the provided data by completing the following table:
To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:
Sample Sample Size Sample Mean Sample Standard Deviation
1 78 51.1 4.7
2 94 45.2 12.1
In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.
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Helppp pls ASAP plsss help
Answer:
17
Step-by-step explanation:
8.5 divided by 0.5 = 17
Don't worry about it being negative
Think about the negative positive triangle, it looks like that
- -
+
A paint shop mixes colours to the customers taste. To make 1 litter of base white, 2 milliliters of B and 0,25 milliliter of C. how much of each component will he use for mixture containing 750 litres of base white? write each answer in litres.
Answer:
Mixing quantity of B = 1.5 liter
Mixing quantity of C = 0.1875 liter
Step-by-step explanation:
Given:
Mixing ratio;
1 liter white base , 2 milliliter of B , 0.25 milliliter of C
Find:
Mixing quantity in 750 liters
Computation:
2 milliliter of B = 0.002 L
0.25 milliliter of C = 0.00025 L
Mixing quantity of B = 750 x 0.002
Mixing quantity of B = 1.5 liter
Mixing quantity of C = 750 x 0.00025
Mixing quantity of C = 0.1875 liter
the ________ element displays a visual gauge of a numeric value within a known range.
Answer:
The "gauge" element displays a visual gauge of a numeric value within a known range.
Step-by-step explanation:
2. Consider the system defined by the impulse response h(n)=28(n+3)+28(n)+28(n-3). a) b) c) d) z Represent h(n). (1 v.) Characterize the system in terms of causality and stability. Justify. (1 v.) Determine the frequency response of the system H(ew). (1 v.) Represent module and phase of the system. (1 v.)
The system defined by the impulse response h(n) = 28(n+3) + 28n + 28(n-3) can be represented as h(n) = 28δ(n+3) + 28δ(n) + 28δ(n-3), where δ(n) denotes the unit impulse function.
In terms of causality, we can determine whether the system is causal by examining the impulse response. If the impulse response h(n) is non-zero only for n ≥ 0, then the system is causal. In this case, since the impulse response h(n) is non-zero for n = -3, 0, and 3, the system is not causal.
To determine the stability of the system, we need to examine the summation of the absolute values of the impulse response. If the summation is finite, the system is stable. In this case, we can calculate the summation as ∑|h(n)| = 28 + 28 + 28 = 84, which is finite. Therefore, the system is stable.
However, since the impulse response is given in the time domain and not in a closed-form expression, it is not possible to directly determine the frequency response without further manipulation or additional information.
Given the absence of specific frequency domain information or a closed-form expression for the frequency response, it is not possible to accurately represent the module and phase of the system H(e^ω) without further calculations or additional details about the system.
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I NEED YOUR OPINION PLEASE
okay , so I am 13 years old . I had gotten my cartilage pierced on both ears for my 13th birthday. Fast foward, I had asked my mom if I could get another cartilage piercing and my tragus pierced . She told me to ask my father. I did not . So I had pierced my tragus and my cartilage on my ear .. And my mom nor my dad has no clue I done it .
I just feel guilty hiding it from them , more so my mom ..
Can anyone give me advice on how to tell them PLEASEEEEEEEEEE
You're gonna get caught anyways, just come out. If you don't, figure out a way to undo it.
how would 4,258,145,397 be shown in written form?
Answer:
four billion two hundred fifty-eight million one hundred forty-five thousand three hundred ninety-seven
Step-by-step explanation:
Answer:
Word form-
four billion, two hundred fifty-eight million, one hundred forty-five thousand, three hundred ninety-seven.
Step-by-step explanation: