According to the intermediate value theorem, every continuous function is a Darboux function.
Given that,
To discuss, what is Intermediate Value Theorem.
Darboux's theorem asserts that for a function f(x) that is differentiable on the domain [a, b], there exists some point c on the open interval (a, b) such that f′(c).
Here,
The intermediate value theorem is defined as that if the function is a continuous function over a domain [a, b] with domain values f(a) and f(b) at the interval's endpoints, then the function takes any value between f(a) and f(b) at any point inside the range.
Thus, According to the intermediate value theorem, every continuous function is a Darboux function.
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Determine which integer makes the inequality 6(n − 5) < 3(n + 4) true. NEED ANSWER ASAP!!!
S:{11}
S:{14}
S:{30}
S:{42}
Answer:
The answer is n < 14.
Step-by-step explanation:
First, we need to distribute 6, then 3 through the parentheses.
6n - 30 < 3(n + 4)
6n - 30 < 3n + 12
We now need to move the variable to the left-hand side and change its sign.
6n - 30 - 3n < 12
Next, we have to move the constant to the right-hand side and change its sign.
6n - 3n < 12 + 30
Now we need to collect like terms.
3n < 12 + 30
Then, we need to add the numbers.
3n < 42
Last but not least, we need to divide both sides of the inequality by 3. This gets us to:
n < 14
Solve for r
-2r+15=-3(-2r-7)-6
Answer:
[tex]\bf r=0[/tex]
Step-by-step explanation:
[tex]\bf -2r+15=-3\left(-2r-7\right)-6[/tex]
Expand: *-3(-2r-7)-6 = 6r+15* :-
[tex]\bf -2r+15=6r+15[/tex]
Subtract 6r from both sides:-
[tex]\bf -2r+15-6r=6r+15-6r[/tex]
[tex]\bf -8r+15=15[/tex]
Subtract 15 from both sides:-
[tex]\bf -8r+15-15=15-15[/tex]
[tex]\bf -8r=0[/tex]
Divide both sides by -8:-
[tex]\bf \cfrac{-8r}{-8}=\cfrac{0}{-8}[/tex]
[tex]\bf r=0[/tex]
__________________
Hope this helps you!
Have a good day!
Answer:
r=0
Step-by-step explanation:
-2r+15=-3(-2r-7)-6
-2r+15= 6r+21-6
-2r+15=6r+15
-6r. -6r
-8r+15=15
-15. -15
-8r=0
/-8. /-8
r=0
hopes this helps
In a survey, 80 people were asked whether they prefer to vacation in the mountains or at the beach. Sixty-two people said they prefer beaches. What percent of the people prefer beaches?
Answer: 77.5% of people prefer beaches
Step-by-step explanation:
It's pretty easy to find the percent of people that prefer beaches.
First, find the total amount of people in the survey and you get 80.
Then, also find the amount of people that prefer beaches. 62.
Then you follow this equation:
(Total # of people who prefer beaches) divided by (Total # of people in survey)
= 62/80 = 0.775
After that, you multiply 0.775 x 100 and you get your percentage :D
0.775 x 100 = 77.5% or 77%
Hope this help ^_^
Answer:
77.5%
Step-by-step explanation:
Total number of people = 80
Number of people who prefer beaches = 62
% of people who like beaches = (62/80)x100% = 77.5%
a line passes through the point (-9,-8) and is parallel to the line with equation y=5x-7. what is the slope of this line?
Answer:
5
Step-by-step explanation:
slopes of the parallel lines are always same this line has slope five
because equation in y intercept form is y=mx+b
where m is the slope.
so the slope of the new line will be five
solve for x of the circle
Check the picture below.
What is y=5x-4 in standard form?
Answer:5x-y=4
Step-by-step explanation:
The standard form of a linear equation is
Ax+By=C
Move all terms containing variables to the left side of the equation.
5x-y=4
Answer: 5x-y=4
Step-by-step explanation:
The standard form equation is Ax+By=C
So y=5x-4
So first we have to add 4 both side
y+4=5x
then we subtract y from both side
4= 5x-y
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Cynthia Bech want to buy a rug for a room that i 20 ft wide and ft long. She want to leave a uniform trip of 29 floor around the rug. She can afford to buy 322 quare feet of carpeting. What dimenion hould the rug have?
On solving the question, we got that - The dimensions of the rug should be 18 feet and 24 feet
What is area of rectangle?By multiplying the rectangle's length by its breadth, we may get its area.
Equiangular quadrilaterals, like rectangles, are known in this way. This is so because a rectangle is a four-sided quadrilateral shape with parallel sides that are equal to one another and four corners with 90o angles. Rectangles are sometimes known as equiangular quadrilaterals since all of its angles are 90 degrees.
the parameters provided;
The room is 20 feet by 26 feet in size.
432 feet2 is the largest area rug she can afford.
If the floor will be a uniform stripe around the rug, then each dimension should have its uniform extra length of floor = (y).
[tex]Area = Length X Width\\432 = ((20=y) X (26-y)\\432 = 520 - 20y - 26y + y^2\\y^2 - 46y+88=0\\[/tex]
here, a= 1, b= -46, c =88
[tex]y = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\[/tex]
[tex]y = \frac{-(-46) +/- \sqrt{(-46)^2 - 4X1X88} } {2} \\\\y = 44 \\or\\ y = 2[/tex]
Therefore, Length = 20-2 = 18 ft
and width = 26-2 = 24ft
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4x+2=2x+7
What is the value of x?
Answer: x equals to 5 over 2
Step-by-step explanation:
Answer: the answer is x=2.5
Step-by-step explanation:
4x+2=2x+7
4x+2-2=2x+7-2
4x=2x+5
4x-2x=2x-2x+5
2x=5
2x/2=5/2
x=2.5
if a clock's second hand is one inch long, how many miles, to the nearest mile, does the second hand on the clock above travel in 7 days?
The hand will cover a distance of 1055.04 inches in 7 days.
To establish the distance covered by the hand's point would go in a week, we would first need to determine the radius of the clock's circle, for which the hand serves as a proxy .
To accomplish this, we would utilize the equation 2(pi*radius),
where pi equals 3.14.
The solution to p=2(3.14*1 ) is 6.28 inches.
This indicates that the hand's point moves 6.28inch every 1 hours.
To determine how far the hand moves in a 168 hour, we would multiply 6.28 inch by 168.
As a result, we arrive at the final calculation of 168 inches covered in 7 days as 1055.04 inches.
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An aquarium has 12 equal size tanks of fish on display. All together, the tanks hold 643. 8 gallons of water. How much water can each tank hold?.
Using the unitary technique, we can determine that each tank can hold 53.65 gallons of water.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
Since the tanks are equal in size then to find the volume of 1 tank
divide the total by 12
one tank = 53.65
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Two rectangles are similar. The first rectangle has a length of 21 cm and a width of 14 cm. The width of the second rectangle is 20 cm. What is its length?
The length of the second rectangle is 30cm
When are two rectangles said to be similar?Two rectangles are similar when the corresponding adjacent sides have the same ratio. We do not need to check the angles as all angles in a rectangle are 90 degrees.
all rectangles are not similar rectangles. The ratio of the corresponding adjacent sides may be different.
length the length and width of first rectangle be L1 and W1 and length and width of second rectangle be L2 and W2
then the ratio of length should be equal to ratio of width since both rectangles are similar
L1/L2 = W1/W2
L1 = 21cm, W1 = 14cm, W2 = 20cm
21/L2 = 14/20
cross multiply
14L2 = 420
L2 = 420/14
L2 = 30cm
In conclusion the length of second rectangle is 30cm
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Rationalize 1 / √5 - √2 and subtract is from √5 - √2
thank s
Answer:
1/√5-√2 = −√2+√5 (-0.967)
√5-√2 = −√2+√5 (0.821854)
Subtract the answers as the decimal and/or the equation:
-0.967-0.821854 = -1.518854
As equation:
−√2+1/5√5 - √2+√5 = −2√2 + −4/5√5 (Decimal: -4.617282)
Select all statements that are true about translations.
1. The lines connecting the image and pre-image points are parallel
2. The lines connecting the image and pre-image points are perpendicular
3. The resulting image will be congruent to the pre-image
4. The resulting image will be similar but not congruent to the pre-image
5. The orientation of the image stays the same
6. All corresponding image and pre-image points are the same distance from each other.
The statements that are true about translations will be 1, 3, 5, and 6.
What is a transformation of a shape?A point, line, or numerical figure can be changed over in one of four ways, and each significantly affects the item's construction or potential position. Picture, after interpretation, alludes to the article's definitive association and position. Not long before the alludes to the material's underlying condition.
The translation does not change the shape and size of the geometry. But changes the location. And the orientation will remain the same.
The statements that are true about translations will be 1, 3, 5, and 6.
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Please help graph question
Answer:
a. (-2,-1)
b. y = -(1/2)x-2
Step-by-step explanation:
We will look for an equation of the form y=mx+c, where m is the slope and b is the y-intercept (the value of y when x = 0).
Put the two given points into a table to make it easier to calculate the slopes for Lines A and B. See the attachment for the table. Slope is the change in y for a change in x, often termed the "Rise/Run." Using Line A as the example, the change in y (the Rise) is obtained by taking the Point 2 value for y (7) and subtracting the Point 1 value for y (3): Rise = (7 - 3) = 4. The Run is obtained by taking the Point 2 value for x (2) and subracting the Point 1 value of x (0). The ratio of Rise/Run is 4/2, so the slope is 2. The same process is used for Line B to obtain a slope of 3 for that line.
The two equations can be written with these slopes:
Line A: y = 2x + c
Line B: y = 3x + c
We need to find a value of c for each equation that will force the line through either of their two given points. c can be determined by entering either of that line's points into the equation(s) above and solving for c:
Line A:
y = 2x + c
3 = 2*(0) + c for point (0,3)
c = 3
The equation for Line A is y = 2x + 3
Line B:
y = 3x + c
2 = 3*(-1) + c for point (-1,2)
c = 5
The equation for Line B is y = 3x + 5
The graph of these lines is attached. They intersect at point (-2,-1).
[As a note, the solution may also be found by using substitution and solving for both x and y:
y = 2x+3
y = 3x+5
The solution exists when both y's and x's are equal:
Assume y is equal:
2x+3 = 3x+5
-x = 2; x = -2
----
Assume x is equal:
Rearrange:
y = 2x+3
2x = y-3
x = (y-3)/2
Use this definition of x in the second line equation:
y = 3x+5
y = 3((y-3)/2)+5
y = (3y - 9)/2 + 5
2y = 3y - 9 + 10
-y = 1
y = -1
The solution is (-2,-1), the same as was found by graphing.]
==================================================
A perpendicular line has a slope that is the negative inverse of the referenced line. For Line A, the perpendicual line would be -(1/2). The equation for this line would take the form y = -(1/2)x + c. We want this perpendicular line to intersect the same point that is the solution to the first problem: (-2,-1). Enter this point to find c:
y = -(1/2)x + c
-1 = -(1/2)*(-2) + c for (-2,-1)
-1 = 1+ c
c = -2
The perpendicular line is y = -(1/2)x - 2
See the attached graph.
Quetion content area top Part 1 A urvey wa given to people who own a certain type of car. What percent of the people urveyed were completely atified with the car? 1750 570 180 total number 2500
Using the percentage concept, it is found that 60.29% of the people surveyed were completely satisfied with the car.
Which percentage does that mean?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total.
The proportion therefore refers to a component per hundred. Percent signifies for every 100. The letter "%" stands for it.
In this problem, researching in the internet, it is found that:
A total of 1260 + 650 + 180 = 2090 people were surveyed.
Of those, 1260 were completely satisfied.
Hence
P = 1260/2090 * 100% = 20.29%
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Sara and Behzad are saving to make a down payment
on a house. With an initial deposit of $8,000, they have
opened an account that compounds interest at an
annual rate of 2.1%. Assuming that Sara and Behzad
make no additional deposits or withdrawals, which of
the following expressions gives the dollar value of the
account 4 years after the initial deposit?
The total value of the account after 4 years is; $8800.
What is simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
We have given Principal = P = $8,000
Rate = R = 2.1%
Amount = A
Time = 4 years
Simple Interest = (P x R x T) / 100
= (8000 x 2.1 x 4 ) / 100
= 800
Amount = Simple interest + Principal
A = 800 + 8000
A = 8800
Thus, The total value of the account after 4 years is; $8800.
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What is 60 is 125% of
Answer: The answer is 48
Step-by-step explanation:
(60*100)/125=48
The 100 percent is 48 and the 125 percent of 48 is 60 .
Answer:
48
Step-by-step explanation:
"What is 60 is 125% of"
Put this sentence into an expression. The wording is awkward in the question. " . . is 60 is 125% of" is not a complete sentence. I believe it is asking what number results in 60 when we take 125% of it. I'll rephrase it as "125% of what number is 60." Please check my logic on this interpretation.
Write this as an expression, using N for the unknown "number:"
125% (N) = 60
(1.25N) = 60
N = 60/1.25
N = 48
125% of 48 is 60
julie made her braclet 30 red beads and 45 blue beads julie decided to make a new braclet using the same ratio of red to blue beads Julie used 20 red beads and 30 blue beads Will the new braclet have the same ratio of red to blue beads as her own braclet? Explain.
The ratio of red to blue beads.
Own bracelets: 2 : 3
New bracelets: 2 : 3
Yes, the ratio of red to blue beads of her own bracelet and the new bracelet is the same.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Julie made her own bracelet with 30 red beads and 45 blue beads.
The ratio of red to blue beads.
= 30 : 45
= 6 : 9
= 2 : 3
Now,
The new bracelets.
The ratio of red to blue beads.
= 20 : 30
= 4 : 6
= 2 : 3
We see that,
The ratio of red to blue beads of her own bracelet and the new bracelet is the same.
Thus,
The ratio of red to blue beads.
Own bracelets: 2 : 3
New bracelets: 2 : 3
Yes, the ratio of red to blue beads of her own bracelet and the new bracelet is the same.
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rita is making two recipes which will take longer to cook the walnut bread or the alfredo sauce
Answer: alfredo sauce
Step-by-step explanation:
Walnut bread will take about 30-45 minutes to cook
Alfredo sauce will take about 10-15 minutes to make
Need Help with geometry
Answer: 23
Step-by-step explanation: ML is in between JL. Line ML is 15 and KL is 8.
Since ML is in between we already know there is 15, and the space left is about the same size as line KL. so 15+8=23.
For the function f(x) = 5.92, calculate the following function values:
f(− 2) =
f(1/2)=
f(0) =
Answer:
55.92
Step-by-step explanation:
[tex]f(x)[/tex] doesn't depend on x.
question above please help
Answer27.1
Step-by-step explanation: c=a^2+b^2 =4.1^2+23^2=27.1
Answer:
4.45
Step-by-step explanation:
the above question it is solve by cos that means cos=adjacent/hypotneus cos(23)=4.1/X then it become X=4.1/cos(23)X=4.45M% of p% of n? Help Pls
Answer:
mnp / 1000
Step-by-step explanation:
m% of p% of n
m/100 · p/100 · n
mnp / 1000
mpn/10000
Step-by-step explanation:I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
Joey, Keith, and Eli have a combined height of 7 meters. If Joey is 1 2/5 meters tall and Eli is 2 7/10 meters tall, how tall is Keith?
Answer: 2 9/10 or 2.9 metres
Step-by-step explanation: Form an equation with the information given
1 2/5 + 2 7/10 +x =7
Let x represent the height of Keith
Change mixed fractions into improper fractions
1 2/5=7/5 as an improper fraction we say 1*5+2=7 and put it over the denominator 5
2 7/10 =27/10 as an improper fraction we say 2*10+7 =27 and put it over the denominator 10
we now have the following:
7/5+27/10+x=7
We simplify these fractions by adding them up
7/5
7/5*2/2+27/10=14/10+27/10=41/10
41/10+x=7
To solve for x
take 41/10 from both sides
7-41/10
Making the denominators the same we get the following:
x=70/10-41/10=29/10=2 9/10
Mabel pend 4 hour to edit a 3-minute long video. She edit a contant rate. How long doe Mabel pend to edit a 15-minute long video?
We know that it would take Mabel 20 minutes to edit a 15-minute-long video by solving simple mathematical operations.
What are mathematical operations?An operation, in maths, is a mathematical function that converts zero or more input values into a precisely defined output value.
The arity of the operation is decided by the number of arithmetic operations.
Most people seem to agree that addition, subtraction, multiplication, and division are the four basic mathematical processes.
So, what time it will take Mabel to dit a 15-minute long video:
Time to edit 15 min videos = New video * Total time taken/Length of added video
Time to edit 15 min videos = 15 * 4/3
Time to edit 15 min videos = 5 * 4
Time to edit 15 min videos = 20
Therefore, we know that it would take Mabel 20 minutes to edit a 15-minute-long video by solving simple mathematical operations.
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A boat take 4 hour to travel uptream 30 mile. On the return trip downtream it took 2 hour. What i the peed of the boat if it were in till water? What i the peed of the current?
The speed of the boat if it were in still water is 11.25 miles per hour and the speed of the current is 3.75 miles per hour.
According to the question,
We have the following information:
A boat take 4 hour to travel upstream 30 miles. On the return trip downstream it took 2 hours.
Now, let's take the speed of the boat in still water to be s miles per hour and the speed of the current to be c miles per hour.
Upstream speed = speed in still water - speed of current
Downstream speed = speed in still water + speed of current
Upstream:
s-c = 30/4
s-c = 7.5
s = 7.5+c ...(1)
Downstream:
s+c = 30/2
s+c = 15
Putting the value of s from equation 1:
7.5+c+c = 15
7.5+2c = 15
2c = 15-7.5
2c = 7.5
c = 7.5/2
c = 3.75 miles per hour
Putting this value in equation 1:
s = 7.5+c
s = 7.5+3.75
s = 11.25 miles per hour
Hence, the speed of the boat if it were in still water is 11.25 miles per hour and the speed of the current is 3.75 miles per hour.
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find the measure of each interior angle and each exterior angle of a regular pentagon.
The measure of each interior angle of a regular pentagon is 108° and each exterior angle is 72°.
How to calculate the measure of each interior and exterior angle of a regular polygon?To calculate the measure of each interior and exterior of a regular polygon, we have the following formulae:
The measure of each exterior angle of a regular polygon with n sides is given by "360/n".
And the measure of each interior angle of a regular polygon with n sides is given by "180 - 360/n".
Calculation:The number of sides of a regular pentagon is n = 5.
So, the measure of each exterior angle of the regular pentagon is
= 360/n
⇒ 360/5 = 72°
Thus, the measure of each interior angle of the regular pentagon is
= 180 - 360/n
⇒ 180 - 72 = 108°
Therefore, the measure of each interior and exterior angle of a regular pentagon are 108° and 72°.
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The Mariana Trench is 11 km below sea level. The Peru-Chile Trench is 8 km below sea level. What is the difference of depths between them, and which trench is deeper?
−19 km, and the Mariana Trench is deeper
19 km, and the Peru-Chile Trench is deeper
−3 km, and the Peru-Chile Trench is deeper
3 km, and the Mariana Trench is deeper
Answer:
d) 3 km, and the Mariana Trench is deeper
Step-by-step explanation:
The Mariana Trench is, so to speak, -11 km while the Peru-Chile Trench is -8 km (because they are both below sea level).
For determining the difference between the two, you have to understand that they're both negative, and there is a 3 km difference between -11 and -8. Subtracting a negative makes a positive.
(-8) - (-11) = 3
Since the Mariana Trench is more kilometers below sea level, it's deeper.
Find the measure of angle f given the information below. Please help!! (New Question )
This is a transversal question (look at attached). Because the lines are parallel, g will equal to 180(a straight line is 180 degrees is 53 degrees
What is transversal?
A transversal is a line in geometry that connects two lines in the same plane at two different places. When determining whether two or more other lines in the Euclidean plane are parallel, transversals are important.
This is a transversal question (look at attached). Because the lines are parallel, g will equal to 180(a straight line is 180 degrees) - a. Then, because g + f + e = 180 (since it is a straight line), substitute the values that we know and solve. (61) + f +(66) = 180. f = 53
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Help me aspp please