Answer:-12
Step-by-step explanation:
Im going to assume that x2 means x squared. You can just substitute "x" for 5. 3(5-4)+2(5)-5^2. First parenthesis equals 3(1)+10-5^2. Then it equals 3+10-5^2. So then it would be 13-5^2. 5^2 equals 25. so it would be 13-25. Which equals -12.
The price of an item yesterday was $180 today the price fell to $99 find the percentage decrease
Answer:
55%
Step-by-step explanation:
to find percentages:
\(\frac{part}{whole}\) I \(\frac{percent}{100}\) pretend this is a box
basically just fill this in and it will give you what you want. For example, here, you have the original and part of the original so it will look like this:
\(\frac{99}{180}\) I \(\frac{x}{100}\) then you multiply across and divide top to bottom (doesn't matter in which order), so: \(\frac{99}{180}\) =0.55 · 100 = 55%.
It is 45 because im doing my work right now on Aleks and it just told me
Step-by-step explanation:
What is the area of the triangle shown below?
Answer:
5 un^2
Step-by-step explanation:
the liens from (0, 0) to (1, 3) and (1, 3) to (4, 2) are perpendicular meaning that the angle at (1, 3) is a right angle
to find the lengths of the sides we must use the pythagorean theorem
a^2 + b^2 = c^2
for the leftmost side
we have 1^2 + 3^2 = c^2
1 + 9 = 10
c^2 = 10
c = sqrt(10)
for the top side
we have
the same thing
1^2 + 3^2 = c^2
1 + 9 = 10
c^2 = 10
c = sqrt(10)
you must multiple sqrt(10) by sqrt(10) and then by 1/2
sqrt(10) * sqrt(10) is 10
10 * 1/2 is 5
the area is 5 un^2
ADJACENT AND VERTICAL ANGLES Tell whether the angles
are adjacent, vertical, or neither. Explain.
13.
14.
95°
60°
70°
60°
The angles 95° and 60° are neither adjacent nor vertical angles.
The angles 70° and 60° are adjacent angles.
The angles 95° and 60° are neither adjacent nor vertical angles. Adjacent angles are angles that share a common vertex and a common side. Vertical angles are a pair of non-adjacent angles formed by two intersecting lines. In this case, the angles 95° and 60° do not meet the criteria for being adjacent or vertical angles as they do not share a common vertex or a common side, nor are they formed by intersecting lines.
The angles 70° and 60° are adjacent angles. Adjacent angles are angles that share a common vertex and a common side. In this case, the angles 70° and 60° share the common vertex at the point where the sides intersect and also share the common side formed by the intersection of the lines. Therefore, the angles 70° and 60° are adjacent angles.
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the letters M I D D L E are placed in a bag if you picked a card and knew it was a vowel what is the probability that it is an E
On a coordinate plane, Point C is at (-3,5) and Point D is at (4,9). What is the distance from point C to point D?
Answer:
5\(\sqrt[\\]{3} \\\) or about 8.66
Step-by-step explanation:
To find the distance of any line, you have to use distance formula.
\(\sqrt{(y-y_{1} )^{2} + (x-x_{1} )^{2}\)
So, we insert our points:
\(\sqrt{(5-9 )^{2} + (-3-4 )^{2}\)
Then you solve, and should end up with \(\sqrt{75}\). Either you can simplify it for an exact number, or you can round. It depends on what the directions ask for.
A Canadian football field is 110 yd long and an American football field is 100 yd
long. How many feet longer is the Canadian Fleld?
Answer:
30 feet
Step-by-step explanation:
110-100=10 yards=30 feet
Step-by-step explanation:
30 feet 100-100=10 ×3 =30
32. what proportion of the 30 sampled bottles are more than 12 ounces? a. 0.20 b. 0.60 c. 0.50 d. 0.30 33. in the sample of 30 bottles, the lowest recorded fill is 11.3 ounces, however, originally this value was mistakenly entered as 1.3 ounces. suppose the error is left uncorrected and the lowest value remains 1.3 ounces. which value is most affected by the error? a. the median. b. the interquartile range. c. the mean. d. all measurements would be affected the same.
The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.
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Find the volume
of the figure below:
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
A survey of 120 teachers determined the following:
70 had high blood pressure
40 had heart trouble
20 had both high blood pressure and heart trouble
What percent of the teachers surveyed had neither high blood pressure nor heart trouble?
PLZ HELP! I WILL GIVE BRAINLIEST TO FIRST ANSWER!
Answer:
0%
Step-by-step explanation:
Mr. and Mrs. Sanchez want to invest money for their child’s college education. They have decided to invest $2000 initially. If the investment is in an account that earns 8% annual interest, compounded yearly for 10 years, how much will their investment be worth at the end of the 10th year?
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A = 2000\left(1+\frac{0.08}{1}\right)^{1\cdot 10}\implies A=2000(1.08)^{10} \implies A \approx 4317.85\)
Solve 8 + q/-2 = 5 2/3. Express the solution as a mixed number in simplest form. HELP ME PLEASE
Answer:
576/8900
Step-by-step explanation:
bc im smart
Answer:
q = 6 2/3
Step-by-step explanation:
8 + q/-2 = 5 2/3
q/-2 = 5 2/3 - 8
q/-2 = -3 1/3
q = (-3 1/3) x -2
q = 6 2/3
Consider the following random priority mechanism for the assignment of dorm rooms to college students.
Random Priority
initialize R to the set of all rooms
randomly order the agents
for i=1, 2, ..., n do
assign the ith agent her favorite room r from among those in R
delete r from R
Does this mechanism DSIC, no matter which random ordering is chosen by the mechanism?
No, this mechanism does not satisfy Dominant Strategy Incentive Compatibility (DSIC) no matter which random ordering is chosen by the mechanism.
DSIC requires that each agent has a dominant strategy, meaning that regardless of what other agents do, it is always in an agent's best interest to report their true preferences.
In this mechanism, the problem lies in the step where the ith agent is assigned her favorite room from the set R.
Since the rooms are assigned based on the agent's preferences, an agent has an incentive to misreport her preferences in order to increase her chances of getting her most preferred room.
For example, if an agent knows that her most preferred room is more likely to be available at a later stage, she may strategically misreport her preferences to increase the likelihood of getting that room.
This introduces the possibility of manipulation and strategic behavior, which violates the DSIC property.
Therefore, the mechanism described does not satisfy DSIC, regardless of the chosen random ordering.
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Which of the following is the best
description of the number 1.381432
O A. a counting number
OB. an irrational number
OC. a rational number and a repeating
decimal
OD. a rational number and a
terminating decimal
Answer:
D. a rational number and a terminating decimal.
The number 1.381432 is a rational number and a non-repeating decimal. A rational number is a number that can be expressed as a ratio of two integers. In this case, 1.381432 can be expressed as the ratio of 1381432/1000000, which can be simplified to 689/500. It is also a non-repeating decimal, meaning that the decimal digits do not repeat in a pattern, but rather continue on without repetition. Therefore, the correct answer is not option C, which suggests that a number is a rational number and a repeating decimal.
which statement best explains the relationship between numbers divisble by 5 and 10
Given that 5 is a factor of 10, any number that can be divided by 10 is likewise divisible by 5.
What is divisibility?In mathematics, the term "divisibility" indicates a number's tendency to be divided by another number in an equal amount without any residue. For instance, it's simple to understand how 40 by 4 can be divided. A huge piece of land that can be divided into smaller chunks and sold separately is said to be divisible, much as it is obvious when you cut into a pan of brownies and distribute equal amounts to each of your friends.
Step-by-step explanation:
Given :
Statement 'The relationship between numbers divisible by 5 and 10'.
Find the statement that BEST clarifies the statement in question?
Solution :
First we study the divisibility rules,
The only two possible outcomes for a number that is divisible by five are five or zero.
As the prime factors of 10 are 5 and 2, the rule for a number to be divisible by 10 is that it must be even and divisible by 5, and the last digit must be a 0.
Because 5 is a factor of 10, the accurate statement that describes the link between numbers divisible by 5 and 10 is that a number that is divisible by 10 is likewise divisible by 5.
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why is water a necessary element for our bodies to function properly? summarize what can happen if a person becomes dehydrated.
Aid in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating helps to regulate body temperature.
Why is water a necessary element for our bodies to function properly?Maintain a regular body temperature. Joints should be lubricated and cushioned. Safeguard your spinal cord and other delicate structures. Wastes can be eliminated by urine, sweat, and bowel motions. Dehydration can also cause a decrease in strength and stamina. It is the most common cause of heat exhaustion. At this point, you should be able to reverse dehydration by consuming extra fluids. Chronic dehydration might impair your kidney function and raise your risk of kidney stones. Water also helps with normal bowel function, muscular performance, and clean, young skin. Failure to drink enough water, on the other hand, can result in dehydration and negative symptoms such as weariness, headache, reduced immunity, and dry skin.
Here,
Assist in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating regulates body temperature.
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7x-5=3(x+9) help me please
Answer:
x=8
Step-by-step explanation:
7x-5=3(x+9)
distribute
7x-5=3x+27
-3x -3x
4x-5=27
+5 +5
4x=32
÷4 ÷4
x=8
I HOPE THIS HELPS:)
is square root of 4 a irrational numbers
Answer:
yes
Step-by-step explanation:
if a even number can go into a even number a even number of times its a irrational number
Answer: no it is rational
Step-by-step explanation: A number is only irrational if it has endless decimals after it.
what temperature does the thermometer show?
Answer:
66.9 degrees faranhiet
Step-by-step explanation:
That's what it looks like
Use the conversion ratio 1 liter equals 1,000 milliliters. A cylinder holds 6,750 milliliters. How many liters does it hold?
The number of liters in the cylinder is 6.75 liters
How to determine the number of liters in the cylinder?From the question, we have the following conversion ratio that can be used in our computation:
1 liter = 1000 milliliters
6750 milliliters =?
Rewrite the required parameter as follows:
So, we have the following representation
6750 milliliters = x
So, we have:
1 liter = 1000 milliliters
x = 6750 milliliters
Cross multiply in the above equation:
x * 1000 = 1 liter * 6750
Divide both sides by 1000
x= 6.75 liters
Hence, the number of liters is 6.75 liters
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To better understand the website builder market, Clutch surveyed individuals who created a website using a do-it-yourself (DIY) website builder. Respondents, categorized by the type of website they built—business or personal, were asked to indicate the primary purpose for building their website. The following table summarizes the findings:
As the importance of having a powerful online presence continues to grow, many people are chosen to build their own websites using do-it-yourself (DIY) tools.
These tools, also known as website builders, are relatively easy to use and inexpensive. Examples include Wix, Square Space, Weebly, and more.
Web builder users lean to create two various types of websites, either personal sites a creative display, blog or portfolio or business sites for online ecommerce, sales, or an online business presence.
Understanding what users of web builders design with the DIY tools is an important step in pick out what makes these tools stand out.
While the mass of users is familiar with the techniques needed to build a site, the actual types of websites being built vary. Nearly half of respondents (48%) specify that their website was built for personal purposes, while 42% said that their website is for business.
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The cost of renting a chain saw is $3.75 per hour plus $7.50 for
a can of gas which is modeled by f(h) = 3.75h + 7.50. Find the
cost of using the chain saw for 4.5 hours.
Answer:
$24.38
Step-by-step explanation:
f(h) = 3.75h + 7.50
h = 4.5
f(4.5) = 3.75(4.5) + 7.50
f(4.5) = 24.375
Answer: $24.38
Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0
Answer:
a) answer is "a"
b) answer is "-2b"
c) answer is "-c"
d) answer is "3c"
Step-by-step explanation:
Absolute value is positive value of something.
a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.
b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.
c<0 same as a except sign is flipped so answer is negative instead of positive.
c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.
Sorry is explanation wasn't through i'm only in middle school
a. | a | > 0, a is greater than and less than zero.
b. | 2b | if b < 0, b is not less than zero not greater than zero.
c. | c | if c < 0, c is not less than zero not greater than zero.
d. | 3c | if c ≥ 0, c is greater than zero and less than zero.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given,
| a | > 0
∴ a is greater than and less than zero.
| 2b | if b < 0
b is not less than zero not greater than zero.
| c | if c < 0
c is not less than zero not greater than zero.
| 3c | if c ≥ 0.
c is greater than zero and less than zero.
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In the trapezoid ABCD, O is the intersection point of the diagonals, AC is the bisector of the angle BAD, M is the midpoint of CD, the circumcircle of the triangle OMD intersects AC again at the point K, BK ⊥ AC. Prove that AB = CD.
We have proved that AB = CD in the given trapezoid ABCD using the properties of the trapezoid and the circle.
To prove that AB = CD, we will use several properties of the given trapezoid and the circle. Let's start by analyzing the information provided step by step.
AC is the bisector of angle BAD:
This implies that angles BAC and CAD are congruent, denoting them as α.
M is the midpoint of CD:
This means that MC = MD.
The circumcircle of triangle OMD intersects AC again at point K:
Let's denote the center of the circumcircle as P. Since P lies on the perpendicular bisector of segment OM (as it is the center of the circumcircle), we have PM = PO.
BK ⊥ AC:
This states that BK is perpendicular to AC, meaning that angle BKC is a right angle.
Now, let's proceed with the proof:
ΔABK ≅ ΔCDK (By ASA congruence)
We need to prove that ΔABK and ΔCDK are congruent. By construction, we know that BK = DK (as K lies on the perpendicular bisector of CD). Additionally, we have angle ABK = angle CDK (both are right angles due to BK ⊥ AC). Therefore, we can conclude that side AB is congruent to side CD.
Proving that ΔABC and ΔCDA are congruent (By SAS congruence)
We need to prove that ΔABC and ΔCDA are congruent. By construction, we know that AC is common to both triangles. Also, we have AB = CD (from Step 1). Now, we need to prove that angle BAC = angle CDA.
Since AC is the bisector of angle BAD, we have angle BAC = angle CAD (as denoted by α in Step 1). Similarly, we can infer that angle CDA = angle CAD. Therefore, angle BAC = angle CDA.
Finally, we have ΔABC ≅ ΔCDA, which implies that AB = CD.
Proving that AB || CD
Since ΔABC and ΔCDA are congruent (from Step 2), we can conclude that AB || CD (as corresponding sides of congruent triangles are parallel).
Thus, we have proved that AB = CD in the given trapezoid ABCD using the properties of the trapezoid and the circle.
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please help.............
Answer:
The answer is 4
Answer:
image 1
Step-by-step explanation:
because pointing down is then 180 and taking another 90 degrees and go in counterclockwise direction
Which choice shows the best estimate of the product 0.52 x 695?
Answer:
350
Step-by-step explanation:
.52 is about .5, and 695 is about 700.
and 700 * .5 is 350
HOPE THIS HELPS!
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Help translations and reflections
Thus, Coordinates of image of points A', B' and C' are- A'(-6, 10), B'(-2, -8), C'(4 , -7)
Explain about the reflection along the y-axis:A figure is transformed into a reflection by a transformational process. In a point, a line, or a plane, figures can be reflected. The image and preimage coincide when reflecting any symbol in a line or a point.
The x-coordinate remains constant when a point is reflected across the x-axis, but the y-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).Given coordinates of points A, B and C
A(6, 10), B(2, -8), C(-4 , -7)
After reflection (x, y) ---> (-x, y).
Thus, Coordinates of image of points A', B' and C' are-
A'(-6, 10), B'(-2, -8), C'(4 , -7)
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What is the Value of 1/4 + 1 1/8
Expressed as a fraction in simplest form.
what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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A rectangular wooden chest is twice as long as it is wide. The top and sides of the chest are made of oak and the bottom is made of pine. The volume of the box is 0.25 cubic metres. The oak costs $2/m2 and the pine is $1/m2 Find the dimensions that will minimize the cost of making the chest. A cardhon
The cost of making the chest with these dimensions is approximately $3.83.
Let's start by finding an expression for the cost of making the chest in terms of its dimensions. The cost of the oak top and sides is given by:
cost of oak = 2lw + 2lh
where l is the length and w is the width of the chest, and h is the height (which we don't know yet). The cost of the pine bottom is given by:
cost of pine = lw
The total cost of making the chest is the sum of these two costs:
total cost = cost of oak + cost of pine
= 2lw + 2lh + lw
We want to minimize this cost subject to the constraint that the volume of the chest is 0.25 cubic metres. The volume of a rectangular box is given by:
volume = length × width × height
= lwh
Since the volume is given as 0.25 cubic metres, we have:
lwh = 0.25
We also know that the length is twice the width, so we can write:
l = 2w
Substituting this into the expression for volume, we get:
\(2w^{2h} = 0.25\)
Solving for h, we get:
\(h = 0.125/w^2\)
Substituting this expression for h into the expression for the total cost, we get:
total cost = \(2lw + 2(0.125/w^2)w + lw\)
= 2lw + 0.25/w
To minimize this cost, we can take the derivative with respect to w and set it equal to zero:
d(total cost)/dw =\(2l - 0.25/w^2 = 0\)
Solving for w, we get:
w = \(\sqrt{0.125/l)}\)
Substituting this value for w back into the expression for h, we get:
h = \(0.125/w^2 = 8l\)
Therefore, the dimensions that will minimize the cost of making the chest are:
length = 2w = \(2\sqrt{(0.125/l)}\)
width = w =\(\sqrt{0.125/l)}\)
height = h = 8
To find the cost of making the chest, we can substitute these values into the expression for the total cost:
total cost = 2lw + 0.25/w
= \(2\sqrt{(0.125/l} ) \times \sqrt{0.125/l)} \times 2 + 0.25/\sqrt{(0.125/l)}\)
= 4 × 0.125 + 0.25 × sqrt(l/0.125)
= 0.5 + 2\(\sqrt{2\) ≈ 3.83
Therefore, the cost of making the chest with these dimensions is approximately $3.83.
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Iq scores are known to be normally distributed. the mean iq score is 100 and the standard deviation is 15. what percent of the population has an iq over 115?
The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115
According to the statement
we have to find that the what percent of the population has an iq over 115.
And from given information,
the mean iq score is 100 and the standard deviation is 15.
And
Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
And by use of this formula, we find the percentage of the population has an iq over 115.
Then the result will comes as 100%.
hence, 100%-Norm.Dist(value,mean,sd,true)
So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.
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