The end behavior of function is positive non decreasing.
What is meant by function ?A function is a relationship between a set of inputs and a set of allowable outputs in mathematics. The feature of functions is that each input corresponds to exactly one output. For example, in the function f(x)=x², any x input will result in only one output.
A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.
How to solve?Given function f(x) = 5/4x²
as the function is square of x hence we can clearly see function is positive
Hence end behavior of function is positive non decreasing.
The complete question is : What is the end behavior of the function f(x)=5/4x2?
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james has oennies nickels and dimes in his ban he has more that 1.60 and less than 2.00 uin the band there are 5 times as many pennies as dimes there is an equal number of nuckles and imes what is the exact amount of money in his bank
The exact amount of money in his bank is $ 1.8.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question=
Let "p" be the number of penniesLet "d" be the number of dimesLet "n" be the number of nickelsGiven that,
There are 5 times as many pennies as dimes
Number of pennies = 5 times the number of dimes
p = 5d ----------- eqn 1There is an equal number of nickels and dimesn = d -------- eqn 2We know that
value of 1 dime = 0.10 dollarvalue of 1 nickel = 0.05 dollarvalue of 1 penny = 0.01 dollarThe total value of coins is:total value = d(0.10) + n(0.05) + p(0.01)Substitute eqn 1 and eqn 2total value = d(0.10) + d(0.05) + 5d(0.01)total value = 0.2dGiven that he has more than $1.60 and less than $2.00 in the bank
Therefore, 0.2d must be greater than 1.60 and less than 2.00
Try for d = 8total value = 0.2 x 8 = 1.6But value must be greater than 1.6Try for d = 9total value = 0.2 x 9 = 1.8Thus 1.8 is greater than 1.60 and less than 2.0
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Jessica sells beaded necklaces. Each large necklace sells for $5.10 and each small necklace sells for $4.90 . How much will she earn from selling 1 large necklace and 6 small necklaces?
Answer: The correct answer is $34.50
Step-by-step explanation:
large necklace sells for $5.10
small necklace sells for $4.90
Total = (Large*1) + (small*6)
Total = (5.10*1) + (4.90*6)
Total = 5.10 + 29.40
Total = 34.50
Remember to vote this answer as Brainliest if I earned it! :)
Answer:
$34.50
Step-by-step explanation:
step 1
$4.90×6
=$29.40
step 2
$5.10+29.40
=$34.50
bill has three one-piece jump suits, five pairs of work pants, and eight work shirts. he either wears a jump suit, or pants and a shirt to work. how many different possible outfits does he have?
He have 48 different possible outfits to wear at work with three one-piece jump suits, five pairs of work pants, and eight work shirts.
What is counting principle?The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n ways to carry out both of these actions if there are n ways to perform one action and m ways to perform another action after that.
Here,
5 pants with each of 8 shirts,
=5 x 8
=40 combinations of shirts and pants.
40 shirt/pants outfits + 8 jumpsuits = 48 total outfits.
With three one-piece jumpsuits, five pairs of work pants, and eight work shirts, he has 48 different work-appropriate outfit options.
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Alex was thinking of a number. Alex doubles it, then adds 20 to get an answer of 22.7. What was the original number?
The original number was 1.85.
According to the question,
We have the following information:
Alex was thinking of a number. Alex doubles it, then adds 20 to get an answer of 22.7.
Now, in this case, let's take the original number to be x.
So, we have the following expression when something was added to the number after doubling it:
2x+20 = 22.7
Subtracting 20 from both sides of the equation:
2x = 22.7-20
2x = 2.7
Dividing by 2 on both sides of the equation:
x = 2.7/2
x = 1.85
Hence, the original number Alex was thinking of was 1.85.
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The average life of an automobile tire of a certain manufacturer follows a normal distribution, with a mean of 32,000 miles and a standard deviation of 1,250. Use the z-table to answer the question. Which z-score separates the lower 70% from the upper 30% of the tires? 0. 30 0. 52 0. 70 0. 85.
The option that gives the tire life span that separates the upper 30% of the life spans from the lower 70%, obtained from the Z-table is 32,650 miles.
Given that
mean = 32,000miles
standard deviation = 1,250miles
using the z - Table the answer is 0.52
which from the z-score table gives at point at a probability of 1 - 0.3 = 0.7, gives z ≈ 0.52
What is the Z-table?
The probability values of the likelihood that a z-value will be within a region of a normal distribution are provided in the Z-score table.
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The probability distribution table shows the proportion of people living in the five different regions of a city. What is the probability that a person chosen at random, who lives in the city, lives in the central or south region?.
There is a 0.56 percent chance that a city resident picked at random would reside in the center or northern part of the city.
What is the probability?A probability is a numerical representation of the possibility or chance that a specific event will take place.
Here,
Given that, this probability distribution table displays the percentage of residents in five distinct areas of a city.
Favorable Results/Total Results is the formula for probability.
The likelihood of choosing someone from the center or northern regions is 0.44 + 0.12 = 0.56.
Consequently, there is a 0.56 percent chance that a city resident picked at random would reside in the central or northern zone.
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find the equivalent measure round the the nearest 10 10 L =
The equivalent measure of 10 L when rounded to nearest 10 is 10,000 ML.
According to the question,
We have the following information:
10 Litres
Now, to find the equivalent measurement, we will convert 10 L into another unit. Let's convert litres into mililitres.
We know that 1 litre is equal to 1000 ml.
So, we have the following expression:
1 litre = 1000 ml
10 litres = 10*1000 ml
10 l = 10,000 ml
Now, rounding it off to nearest 10, we will get:
10,000 ml (Because the number right next to ten place value is 0. Hence, the digits are same.)
Hence, the equivalent measure of 10 L when rounded to nearest 10 is 10,000 ML.
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It costs $2.48 to buy 1/4 lbs. of chopped walnuts. How much would it cost to purchase 9.5 lbs. of walnuts?
It would cost $94.24 to purchase 9.5 lbs. of walnuts.
From the question, we have
To buy 1/4 lbs. of chopped walnuts, costs $2.48
To buy 1 lbs. of chopped walnuts, costs = $2.48*4 = $9.92
To buy 9.5 lbs. of chopped walnuts, costs = $9.92 * 9.5
=$94.24
Multiplication:
In mathematics, multiplying the numbers is used to find the product of two or more numbers. We carry out one of the basic mathematical operations on a regular basis. The main application that is obvious is using multiplication tables. Mathematicians use the multiplication of two integers to express the repeated addition of one number to another. These numbers can be natural numbers, fractions, integers, whole numbers, etc. M is either added to itself 'n' times or subtracted from itself when m is multiplied by n.
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At what values of x does the graph of y = x ^ 2 * e ^ (- 2x) have a point of inflection
Inflection points for the given equation x^2e^{-2x} are [tex]\left(\frac{2-\sqrt{2}}{2},\:\frac{e^{-2+\sqrt{2}}\left(3-2\sqrt{2}\right)}{2}\right),\:\left(\frac{2+\sqrt{2}}{2},\:\frac{e^{-2-\sqrt{2}}\left(3+2\sqrt{2}\right)}{2}\right)[/tex]
What is inflection point and how to find an inflection point?
The point of inflection, also known as the inflection point, is when the function's concavity changes. Changing the function from concave down to concave up, or vice versa, signifies that. In other words, an inflection point is the location at which the rate of slope shift from a growing to a decreasing way, or vice versa, occurs. There is no doubt that those positions are neither local maxima nor minima. They are fixed points.
Finding the Inflection Point on a Graph?
On a curve, an inflection point is when the concavity changes, according to definition. (i.e., a shift in the sign of curvature). We are aware that the function is concave up if f " > 0, and that it is concave down if f " 0. The point of inflection on a graph is where the function switches from positive to negative, or from negative to positive, at a particular value of x = c.
f'(x) = [tex]2xe^(^-^2^x^) - 2x^2e^(^-^2^x^)[/tex]
f'(x) = [tex]-2\left(x-1\right)x\mathrm{e}^{-2x}[/tex]
Now again differentiating for inflection point :
f''(x) = [tex]-2\left(-2\left(x-1\right)x\mathrm{e}^{-2x}+x\mathrm{e}^{-2x}+\left(x-1\right)\mathrm{e}^{-2x}\right)[/tex]
f''(x) = [tex]4\left(x-1\right)x\mathrm{e}^{-2x}-2x\mathrm{e}^{-2x}-2\left(x-1\right)\mathrm{e}^{-2x}[/tex]
f''(x) = [tex]\left(4x^2-8x+2\right)\mathrm{e}^{-2x}[/tex]=0
Now we have to solve this quadratic for inflection point
[tex]2x^2-4x+1=0[/tex]
Using quadratic formula
x= -b±√(b^2 - 4ac)/2a
x=4±√(16+16)4
x=4±4√2/4
[tex]x=\dfrac{\sqrt{2}+2}{2}[/tex]
[tex]x=\dfrac{\sqrt{2}-2}{2}[/tex]
Now on putting [tex]\dfrac{\sqrt{2}+2}{2}[/tex] and[tex]\dfrac{\sqrt{2}-2}{2}[/tex] in f(x)
we get,
=[tex](\dfrac{\sqrt{2}+2}{2})^ 2 * e ^ (^-^ ^{\sqrt{2}+2})[/tex]
=[tex]\frac{e^{-2+\sqrt{2}}\left(3-2\sqrt{2}\right)}{2}\right)[/tex]
And [tex](\dfrac{\sqrt{2}-2}{2})^ 2 * e ^ (^-^ ^{\sqrt{2}-2})[/tex]
= [tex]\frac{e^{-2+\sqrt{2}}\left(3-2\sqrt{2}\right)}{2}\right)[/tex]
so, inflection points are
[tex]\left(\frac{2-\sqrt{2}}{2},\:\frac{e^{-2+\sqrt{2}}\left(3-2\sqrt{2}\right)}{2}\right),\:\left(\frac{2+\sqrt{2}}{2},\:\frac{e^{-2-\sqrt{2}}\left(3+2\sqrt{2}\right)}{2}\right)[/tex]
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The graph of a linear equation passes through the points
(-2, 0) and (0, 6).
Is 3x - y = -6 an equation for this graph?
Answer:
Yes
Step-by-step explanation:
Let y = 0
3x = -6 Divide both sides by 3
x = -2
(-2,0)
Let x = 0
-y = -6 Divide both sides by -1
y = 6
(0,6)
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Using the equation of the model:
a. 150,400 or 150.4 thousand.
b. 467.5 thousand or 467,500.
How to Apply an Equation in a Model?An equation that models a given scenario can be used to make predictions or determine certain values of any of the variables involved.
Given the equation that models the number of college students who studied abroad each year is expressed as: y = 123.1(1.069)^x, where:
y = number of students from a country in thousands
x = number of years after 1998
a. 2001 after 1998 is 3 years. Substitute x = 3 into the equation, y = 123.1(1.069)^x:
y = 123.1(1.069)^3
y = 150.4
Number of students studying abroad in 2001 is: 150,400 or 150.4 thousand.
b. 2018 from 1998 is 20 years. Substitute x = 20 into the equation, y = 123.1(1.069)^x:
y = 123.1(1.069)^20
y = 467.5
Number of students studying abroad in 2018 is: 467.5 thousand or 467,500.
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The solution to the system is (3, 4):
3x - 2y = 1
4y = 7+3x
Answer:
(3,4)
Step-by-step explanation:
3x - 2y = 1
-3x + 4y = 7
3x - 3x = 0
-2y + 4y = 2y
1+7 = 8
2y = 8
2/2 y = 8/2
y = 4
3x -2(4) = 1
3x - 8 = 1
3x = 8 + 1
3x = 9
3/3 x = 9/3
x = 3
Answer:
See the work below.
Step-by-step explanation:
If 3x-2y=1, then
[tex]x=(\frac{1}{3})1+2y[/tex]
Substitute for x in 4y=7+3x.
[tex]4y=7+3(\frac{1}{3})(1+2y)\\4y=7+(1+2y)\\4y=7+1+2y\\4y=8+2y\\4y-2y=8+2y-2y\\2y=8\\y=4[/tex]
Substitute y=4 in 3x-2y=1
[tex]3x-2(4)=1\\3x-8=1\\3x-8+8=1+8\\3x=9\\\frac{3x}{3}=\frac{9}{3}\\x=3[/tex]
This work proves the given values are correct.
Determine which set of side measurements could be used to form a right triangle.
3, 5, 8
8, 9, 11
square root of 7 comma 4 comma square root of 23
square root of 29 comma square root of 39 comma 68
The sets [tex](\sqrt{7}, 4, \sqrt{23})[/tex] and[tex](\sqrt{29}, \sqrt{39}, 68)[/tex] could be used to form a right triangle.
What is right triangle?
A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.
Since for the right triangle is a, b, c are three sides of a triangle, where c is the diagonal, then
[tex]a^2 + b^2 = c^2[/tex]
Consider, the set (3, 5, 8)
Here, 3^2 + 5^2 ≠ 8^2.
Consider, the set (8, 9, 11)
Here, 8^2 + 9^2 ≠ 11^2
Consider, the set [tex](\sqrt{7}, 4, \sqrt{23})[/tex]
Here, [tex](\sqrt{7})^2 + 4^2 = (\sqrt{23})^2[/tex]
Consider, the set [tex](\sqrt{29}, \sqrt{39}, 68)[/tex]
Here, [tex](\sqrt{29})^2 + (\sqrt{39})^2 = 68[/tex]
Hence, [tex](\sqrt{7}, 4, \sqrt{23})[/tex], [tex](\sqrt{29}, \sqrt{39}, 68)[/tex] could be used to form a right triangle.
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Answer: square root of 7 comma 4 comma square root of 23
Step-by-step explanation: I took the test and I got it right
How do confidence intervals tell you whether your results are statistically significant?.
It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.
Confidence Interval;
In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.
Therefore,
The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0
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Solve the following system of equations graphically on the set of axes below.
y= x+8
y= -2x-4
Plot two lines by clicking the graph.
Click a line to delete it.
The solutions of y= x+8 and y= -2x-4 is x is -4 and y is 4
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are
y equal to x plus eight
y= x+8...(1)
y equal to minus two x minus four
y= -2x-4...(2)
Subtract 2 from 1
y-y=x+8-(-2x-4)
0=x+8+2x+4
0=3x+12
3x=-12
Divide both sides by 3
x=-4
Now put x value in y
y=-4+8=4
The value of x is minus four and y is four.
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In the equation (x - 7)^2 = 25, if x equals 12, is there another solution for x?
(It's confusing but it means is there any other possible answer for x except 12.)
Answerh
Step-by-step explanation:
huh
please help me solve this simultaneous eqn
x+2y=7
2x² + 3y = 5xy-6
Answer:
x = 11/9 and y = 26/9 or x = 3 and y = 2
Step-by-step explanation:
x + 2y = 7 --1
2x² + 3y = 5xy - 6 --2
From 1, make x the subject.
x = 7 - 2y
Substitute x = 7 - 2y into 2.
2(7 - 2y)² + 3y = 5y(7 - 2y) - 6
Simplify and solve for y.
2(49 - 28y + 4y²) + 3y = 35y - 10y² - 6
98 - 56y + 8y² + 3y = 35y - 10y² - 6
18y² - 88y + 104 = 0
9y² - 44y + 52 = 0
Factorise.
(9y - 26)(y - 2) = 0
9y - 26 = 0 or y - 2 = 0
9y = 26 or y = 2
y = 26/9 or y = 2
Substitute values of y into x = 7 - 2y.
x = 7 - 2(26/9) or x = 7 - 2(2)
= 11/9 = 3
Thus, x = 11/9 and y = 26/9 or x = 3 and y = 2.
A set of 4 consecutive integers has a sum of –270. which integers are they?
HELPPP
The set of 4 consecutive integers that has a sum of –270 is -69, -68, -67 and -66
How to determine the integers?The statement in the question is represented as
A set of 4 consecutive integers has a sum of –270
As a general rule of numbering;
Consecutive integers are integers that have a difference of 1
These numbers can be negative or positive
Solving further, we can represent the smallest integer with x
So, the other integers are x + 1, x + 2 and x + 3
Recall that the sum of the four integers is -270
This statement implies that
Sum = -270
So, we have
x + x + 1 + x + 2 + x + 3 = -270
Evaluate the like terms
4x + 6 = -270
Evaluate the like terms
4x = -276
Divide both sides by 4
x = -69
So, we have
x + 1 = -68
x + 2 = -67
x + 3 = -66
Hence, the integers are -69, -68, -67 and -66
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calculate the percentage of free moisture on a fine aggregate based on the given data. percent absorption
The percentage of free moisture on a fine aggregate is 0.5%.
Free moisture refers to the moisture which is present on the surface of the aggregate after moisture has been absorbed and can be removed by drying the sand. Free moisture or free water is determined as the difference between the mass of wet-saturated aggregate sample and the mass of saturated-surface-dry condition sample.
Based on the given information:
Stock (present) weight = Weight of wet sample = 464.3g
Oven-dry weight = Weight of dry sample = 450.6g
Total Moisture = (Weight of wet sample - Weight of dry sample)/Weight of dry sample * 100
(464.3 – 450.6)/450.6 * 100 = 0.030 *100 = 3%
Percent absorption (AC): 2.5%
Free moisture = Total moisture – Absorbed moisture
= 3 – 2.5 = 0.5%
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Which expression is equivalent to startroot startfraction 1 minus cosine (10 x) over 2 endfraction endroot? cos(5x) cos(20x) sin(5x) sin(20x)
[tex]\sqrt{1-cos(10x)/2}[/tex]The expression is equivalent to sin(5x)
Given that,
start root start fraction 1 minus cosine (10 x) over 2 end fraction end root which means [tex]\sqrt{1-cos(10x)/2}[/tex]
To find : The equivalent expression to the equation [tex]\sqrt{1-cos(10x)/2}[/tex] --> (1)
We know that,
From trigonometry,
Half angle formula
What is the value of 1 cos 2x? The expression 1 - cos2x is written as 1 - cos2x = 2sin2x. This makes it possible to recognize trigonometric identities. These are the phrases that enable you to discover a precise response to your query.
1−cos2x=2sin²x and
Similarly,
1−cosx=2sin²(x/2)
Then
1-cos10x = 2sin²(5x)
Substitute above expression in (1)
Then,
[tex]\sqrt{1-cos(10x)/2}[/tex] = [tex]\sqrt{2sin^2(5x)/2}[/tex]
= [tex]\sqrt{sin^2(5x)}[/tex]
= sin(5x)
Therefore, [tex]\sqrt{1-cos(10x)/2}[/tex] is equivalent to sin(5x)
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one degree of latitude is equal to which of the following? 10 minutes 60 seconds 30 seconds 60 minutes
Answer: one degree of latitude is equal to 60 Minutes
Steps- We Know that-
1 min = 60 sec
1 day = 24 hrs
Additionally, The hour hand measures the clock's 360 degree arcs twice throughout the day, i.e.
2*360= 720 degree
1 degree 2*360/12= 60 min
Hence proved 1 degree = 60 Minutes
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I need this asap 100 points + brainliest if its correct (;
A student is checking the shading on her graph of the solution of an inequality. The graph is shown. She chooses the value x = -17 to substitute. Will substituting this value back into the original inequality result in a true or a false statement? Explain your answer.
Answer:
Step-by-step explanation:
False
Answer:
False statement
Step-by-step explanation:
Currently, the inequality of the line is x < -18.75 like shown in the number line.
If you want to substitute -17 for x, you have to make sure it makes sense.
The inequality will be -17 < -18.75.
Now, is this inequality a true one? No, because -17 is not less than -18.75 making this a false statement.
You can also check with the number line in the image.
Does the line pass through -17?
A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the box (in cm) that minimize the amount of material used.
The minimized amount of material used to make the box is 13516 cm²
Let the side of the square base be x cm
According to the problem, the volume of the box is 13500 cm³
Therefore,
x² X height = 13500
or, height = 13500/x²
Now it is given that the top is open.
Hence, the box only has one square side.
Hence the surface area of the box will be
x² + 2x.13500/x² + 2x.13500/x²
= x² + 54000/x
Therefore, f(x) = x² + 54000/x
Now, to minimize the above problem, we equate the first derivative to 0
f'(x) = 2x - 54000/x² = 0
or, (2x³ - 54000)/x² = 0
or, 2x³ = 54000
or x³ = 27000
or, x = 30
Now, we check whether the above result is a minimal value or not.
f''(x) = 2 + 108000/x³
or, f"(30) = 2 + 108000/54000
= 4
Since f"(30) is positive, the minimized value of x is 30.
Therefore, the minimal amount of material used is
4² + 54000/4
= 16 + 13500
= 13516 cm²
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At the end of the semester, 90 members of a student organization had a picnic with 3 members who chose hamburger, milk and cake. 5 had hamburger and milk. 10 took cake and milk. 8 had cake and hamburger. 24 ate hamburger. 38 had cake. 20 drank milk. How many members had nothing to eat or drink? write the numerical value only.
At the end of the semester, 90 members of a student organization had a picnic with 3 members who chose hamburger, milk and cake.
5 had hamburger and milk.
10 took cake and milk.
8 had cake and hamburger.
24 ate hamburger.
38 had cake.
20 drank milk.
let A,B and C are number who had hamburger, milk and cake
N(T)= 90
N(A)= 24
N(B)= 20
N(C)= 38
N(AnB)= 5
N(BnC)= 10
N(AnC)= 8
N(AnBnC) = 3
at least one =N(AUBUC)= N(A)+N(B)+N(C )-N(AnB)-N(BnC)-N(AnC)+N(AnBnC) = 62
a) nothing =N(T)-N(Au B u C) =90-62=28
b) cake only =N(C)-N(A n C)-N(B n C)+N(A n B n C) =38-8-10+3=23
c) milk only =20-5-10+3 =8
d) hamburger only =24-5-8+3=14
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What is the solution of 1/2 √w+1=4?
Answer:
w = 36
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] [tex]\sqrt{w}[/tex] + 1 = 4 ( subtract 1 from both sides )
[tex]\frac{1}{2}[/tex] [tex]\sqrt{w}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )
[tex]\sqrt{w}[/tex] = 6 ( square both sides to clear the radical )
w = 6² = 36
given a variable s that is assigned the empty string, write some statements that use a while loop to assign a string consisting of exactly 777 asterisk to s
The statements that use a while loop to assign a string consisting of exactly 777 asterisk to s are mentioned below:
i=0
While i<777
[Tab Key]s=s+"*"
[Tab Key]i+=1
What is meant by variable?A variable is a sign and placeholder in mathematics for any mathematical object. A variable can be a number, a vector, a matrix, a function, its argument, a set, or an element of a set.
Algebraic calculations that treat variables as if they were explicit integers solve a variety of issues in a single step. The quadratic formula, for example, solves any quadratic equation by substituting the numeric values of the equation's coefficients for the variables represented by the quadratic formula. A variable in mathematical logic is either a sign expressing an unnamed word of the theory (a meta-variable) or a basic item of the theory that is changed without reference to its theory.
Given,
A variable s is assigned to an empty string.
The statements that use a while loop to assign a string consisting of exactly 777 asterisk to s,
i=0
While i<777
[Tab Key]s=s+"*"
[Tab Key]i+=1
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1. MGSE8.G.6: Which set of side lengths cannot form a right triangle? Choose all that apply.
A. 24 mm, 32 mm, 40 mm
B. 27 mm, 35 mm, 46 mm
C. 7 mm, 24 mm, 25 mm
D. 6 mm, 8 mm, 10 mm
E. 12 mm, 16 mm, 20 mm
F. 12 mm, 34 mm, 37 mm
The following are the sets which cannot form a right triangle:
b. 27 mm, 35 mm, 46 mm
f. 12 mm, 34 mm, 37 mm
Given,
Here some set of lengths given. We have to find which set of lengths can not form a right triangle.
To check whether it is a right triangle or not we will use Pythagoras theorem. If it holds true then the set will form a right triangle and if it is not true then it will not form a right triangle.
The pythogaras theorem is c²=a²+b²,where c = hypotenuse which is the largest length of the sides, a and b are other two sides.
a. 24 mm, 32 mm, 40 mm
c = 40 mm as it is the largest side.
substitute the values:
40² = 24² + 32²
1600 = 576 + 1024
1600 = 1600
The Pythagoras theorem holds true here. So this set will form a right angled triangle
b. 27 mm, 35 mm, 46 mm
c = 46 mm as it is the largest side.
substitute the values:
46² = 27² + 35²
2116 = 729 + 1225
2116 = 1954
The Pythagoras theorem does not hold true here. So this set will not form a right angled triangle.
c. 7 mm, 24 mm, 25 mm
c = 25 mm as it is the largest side.
substitute the values:
25² = 7² + 24²
625 = 49 + 576
625 = 625
The Pythagoras theorem holds true here. So this set will form a right angled triangle
d. 6 mm, 8 mm, 10 mm
c = 10 mm as it is the largest side.
substitute the values:
10² = 6² + 8²
100 = 36 + 64
100 = 100
The Pythagoras theorem holds true here. So this set will form a right angled triangle.
e. 12 mm, 16 mm, 20 mm
c = 20 mm as it is the largest side.
substitute the values:
20² = 16² + 12²
400 = 256 + 144
400 = 400
The Pythagoras theorem holds true here. So this set will form a right angled triangle.
f. 12 mm, 34 mm, 37 mm
c = 37 mm as it is the largest side.
substitute the values:
37² = 12² + 34²
1369 = 144 + 1156
1369 = 1300
The Pythagoras theorem does not hold true here. So this set will not form a right angled triangle.
Hence we get the required answers.
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What is an equation of the line that passes through the points (4, -2) and (2,3)?
Answer:
5x+2y-16=0 (general form)
y= -5/2 x+8 (slope intercept form)
Step-by-step explanation:
y-y1/x-x1 = y2-y1/x2-x1 ( formula)
y+2/x-4 = 3+2/2-4
y+2/x-4 = 5/-2
-2 (y+2) = 5 (x-4)( cross multiply)
-2y-4 = 5x-20
-2y = 5x-20+4
-2y = 5x-16
5x+2y-16 = 0 (general form )
OR
y = -5/2 x -16/-2yyyyx
y = -5/2 x + 8
Brynn is watching her neighbor's dogs. She earns , , but spends on Uber Eats while she is there. If she wants to earn between and dollars, how many , , must she watch the dogs. Simplify the compound inequality: 125 < 20h - 15 < 125
Answer:
Step-by-step explanation:
poop
please help! I’m struggling
Answer: C
Step-by-step explanation:
If you look at the picture, you can see that it is decreasing from hour 3 to hour 4.
This means that from 3 < x < 4, it is decreasing.
