Answer:
=
Step-by-step explanation:
lcm = 8 so you multiply the numerator of 2 1/2 1 x 4 = 4 4 is your numerator and 8 is your denominator 2 4/8 = 2 4/8 you can simplify to 2 1/2 too
Answer:
2 4/8 = 21/2 Equal To =
Step-by-step explanation:
2 4/8
Also equal to 2 1/2
Since reducing fractions 4/8 simplified is 1/2
2 4/8 = 21/2
5. A baseball card sold for $241 in 1975 and was sold again in 1988 for $405. Assume that the growth in the value V of the collector's item was exponential.
The exponential growth rate of the baseball card given its price in 1975 and 1988 is 4.07%.
What is the exponential growth rate?The exponential growth rate is the rate of increase in the value of an asset with the passage of time.
Exponential equations have the form a[tex]b^{x}[/tex]
Growth rate = (future value / present value)^(1 / number of years)
(405 / 241)^(1/13) = 4.07%
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can someone help with this question?
Answer:
c=5.50b
Step-by-step explanation:
Answer:
5.50 x b = c or 5.50b = c
Step-by-step explanation:
5.50 is the base amount, with B amount of necklaces.
Also please refrain from cheating on the CAT test.. especially in 6th grade.
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f
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4
f
4f4.f
f.
4f.
4f.
4.f4
.4ff4.
Answer:
what?
Step-by-step explanation:
Answer:
please reformat the question to be readable !
Step-by-step explanation:
Using Rolle's theorem prove that the function has at most one root on the given interval [tex]f(x)=x^3-12x+11, [-2,2][/tex]
f(x) = _ at x = _ x = _
Answer:
Show that if [tex]f(a) = f(b) = 0[/tex] for some [tex]a,\, b \in [-2,\, 2][/tex] where [tex]a \ne b[/tex], then by Rolle's Theorem [tex]f^{\prime}(x) = 0[/tex] for some [tex]x \in (-2,\, 2)[/tex]. However, no such [tex]x[/tex] exists since [tex]f^{\prime}(x) < 0[/tex] for all [tex]x \in (-2,\, 2)\![/tex].
Note that Rolle's Theorem alone does not give the exact value of the root. Neither does this theorem guarantee that a root exists in this interval.
Step-by-step explanation:
The function [tex]f(x) = x^{3} - 12\, x + 11[/tex] is continuous and differentiable over [tex][-2,\, 2][/tex]. By Rolle's Theorem. if [tex]f(a) = f(b)[/tex] for some [tex]a,\, b \in [2,\, -2][/tex] where [tex]a \ne b[/tex], then there would exist [tex]x \in (a,\, b)[/tex] such that [tex]f^{\prime}(x) = 0[/tex].
Assume by contradiction [tex]f(x)[/tex] does have more than one roots over [tex][-2,\, 2][/tex]. Let [tex]a[/tex] and [tex]b[/tex] be (two of the) roots, such that [tex]a \ne b[/tex]. Notice that [tex]f(a) = 0 = f(b)[/tex] just as Rolle's Theorem requires. Thus- by Rolle's Theorem- there would exist [tex]x \in (a,\, b)[/tex] such that [tex]f^{\prime}(x) = 0[/tex].
However, no such [tex]x \in (a,\, b)[/tex] could exist. Notice that [tex]f^{\prime}(x) = 3\, x^{2} - 12[/tex], which is a parabola opening upwards. The only zeros of [tex]f^{\prime}(x)[/tex] are [tex]x = (-2)[/tex] and [tex]x = 2[/tex].
However, neither [tex]x = (-2)[/tex] nor [tex]x = 2[/tex] are included in the open interval [tex](-2,\, 2)[/tex]. Additionally, [tex]a,\, b \in [-2,\, 2][/tex], meaning that [tex](a,\, b)[/tex] is a subset of the open interval [tex](-2,\, 2)[/tex]. Thus, neither zero would be in the subset [tex](a,\, b)[/tex]. In other words, there is no [tex]x \in (a,\, b)[/tex] such that [tex]f^{\prime}(x) = 0[/tex]. Contradiction.
Hence, [tex]f(x) = x^{3} - 12\, x + 11[/tex] has at most one root over the interval [tex][-2,\, 2][/tex].
how to do the 2nd the 3rd one?
z + 38° = 180°
(L.P)
z = 142°
y = 32° (alternative angle of angle FCA)
x = 142° (alternative angle of angle z)
2.x + 65 = 180
(l.p)
x = 180 - 65
x = 115°
y = x (alternative angle of x)
y = 115°
z = y (V.O.A)
z = 115°
~Tulpe⚘
Answer:
Step-by-step explanation:
2) Linear pair: Two angles are called linear when they are adjacent angles and the non common arms form a straight line. They add uo to 180
z + 32 = 180 {linear pair}
z = 180 - 32
z = 148°When parellel lines are cut by a transversal alternate interior angles are equal.
y = 32° {Alternate interior angles}
x = z {Alternate interior anlges}
x = 148°
3) x +65 = 180 {linear pair}
x = 180 - 65
x = 115°y = x {Alternate interior angles}
y = 115°z = y {Verically opposite angles}
z = 115°
There are 7 times as many females as males on the maths course at university.
What fraction of the course are female?
Give your answer in its simplest form
Answer:
1/8 of males as females are 7 times of males are x then females are 7x so the fraction of males x will be 1/8
Step-by-step explanation:
if the sum of lengths of two adjacent sides of parallelogram is 5 units then what is the perimeter of the parallelogram
Answer: 10
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so the sum of the lengths of each pair of adjacent sides must be 5. Thus, the perimeter is 5(2)=10.
You work 40 hours/week for 50 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?
•
A. $30,000/year
B. $15.00/hour
C. $30,000/year with a 10% bonus
D. $15.00/hour and a $2,000 bonus at the end of the year
The answer is:
$30,000/year with a 10% bonus
Write the quadratic equation in standard form:
Standard form ax²+bx+c=0
5x²+7+3x+3x=05x²+7+6x=05x²+6x+7=0Done
Need a some help with explanation. Thank you
Answer:
C. (1, 3)
Step-by-step explanation:
The x-coordinate of a point is the measure of the horizontal distance a point is to the right of the y-axis. When the point is translated 4 units to the left, its x-coordinate is reduced by 4: x ⇒ x-4.
The y-coordinate of a point is the measure of the vertical distance a point is above the x-axis. When the point is translated 2 units up, its y-coordinate is increased by 2: y ⇒ y+2.
__
translated pointsThe translation 4 units left and 2 units up can be summarized by ...
(x, y) ⇒ (x -4, y +2)
Then the translated vertices are ...
Q(1, 3) ⇒ Q'(1 -4, 3 +2) = Q'(-3, 5)
R(5, 1) ⇒ R'(5 -4, 1 +2) = R'(1, 3) . . . . . . . matches choice C
S(3, 5) ⇒ S'(3 -4, 5 +2) = S'(-1, 7)
Of the points listed, the point (1, 3) matches a translated vertex.
What is the mode of the data represented in this line plot?
Enter your answer in the box.
Answer:
2
Step-by-step explanation:
Hey there!
In order to find the mode, you need to find the number thatis plotted the most
As you can see on the line plot, the number 2 has been plotted more than the other numbers
Meaning, that 2 is the mode
Answer:
2
Step-by-step explanation:
:)
4) An architect is designing a tapered office
tower where the ground floor (floor 0) is
the largest and the floor space is reduced
by 5% per floor. If the ground floor has
an area of 1,140.0 m², what is the area of
the 9th floor?
The area of the 9th floor is 718.48 m² if the ground floor(floor 0) is the largest and the floor space is reduced by 5% per floor.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent :
[tex]\rm y = a^x[/tex]
where a is a constant and a>1
We know we can find the exponential decrease by the below formula:
[tex]\rm y = a(1-r)^n[/tex]
We have a = 1140 m²
r = 5% = 0.05
n = 9
[tex]\rm y = 1140(1-0.05)^9[/tex]
y = 718.48 m²
Thus, the area of the 9th floor is 718.48 m² if the ground floor(floor 0) is the largest and the floor space is reduced by 5% per floor.
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A radio stállon reports news and weather, every 20 minutes for 4 minutes, If the radio is turned on at a random time, what is the probabillty that the news and weather report Is NOT on? F 0.2 H 0.6 G 0.4 J 0.8
The probability that the news and weather report Is NOT on will be 0.8. Then the correct option is J.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
A radio station reports news and weather, every 20 minutes for 4 minutes.
If the radio is turned on at a random time.
Then the probability that the news and weather report Is NOT on will be
P = 1 - 4/20
P = 1 - 0.20
P = 0.8
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8x(12+7-9)-(4+10) what’s the answer
Equation- 8x(12+7-9)-(4+10)
Answer- 80x−14
Juan manages a restaurant which is currently hiring. On Tuesday he interviewed 3 waiters, 2 chefs, and 4 dishwashers. On Wednesday he interviewed 4 waiters, 4 chefs, and 4 dishwashers. Each day one woman applied for a job while the rest were men. What is the probability that the woman shared the same profession?
Probability helps us to know the chances of an event occurring. The probability that the woman shared the same profession is 0.334.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability of both being a waiter is,
P(Both Waiter) = (3/9)×(4/12) = 1/9
The probability of both being chefs,
P(Both Chef) = (2/9)×(4/12) = 2/27
The probability of both being a Dishwashers,
P(Both Dishwasher) = (4/9)×(4/12) = 4/27
Thus, the probability that the woman shared the same profession is,
Probability = P(Both Waiter) + P(Both Chef) + P(Both Dishwasher) = 0.33
Hence, the probability that the woman shared the same profession is 0.334.
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help pls pls pls pls pls pls
Answer:
63
Step-by-step explanation:
(1/2) · b · h
(1/2) * 14 * 9 = 63
Answer: 63 in²
Step-by-step explanation:
The problem gives us the formula to use. We will simplify plug in the correct values and solve.
b = base
h = height
[tex]\displaystyle \frac{b*h}{2}[/tex]
[tex]\displaystyle \frac{14*9}{2}[/tex]
[tex]\displaystyle \frac{126}{2}[/tex]
63
63 square inches
Raj left home at 1 pm to travel 675km to visit his sister. he averaged 110km/h for the first part of the trip during which he had a 1 hour rest, and 90km/h for the second part of the trip during which he had a 30 minute rest. he reached his destination at 9pm. the number of minutes taken for the first part of the trip, to the nearest minute______
q9 pg 164 foundations of mathematics and pre-calculus 10
The time used for the first part of the trip in minutes is 270 minutes.
How to find the time used for the trip?Total distance travelled = 675 km
He travelled from 1pm to 9pm.
He rested for 1 hour 30 minutes. The total time used for the trip is 6 hours 30 minutes.
let
the time used for the first part of the trip = x
Therefore,
speed = distance / time
distance = 110x
the time used for the first part of the trip = 6.5 - x
distance = 90(6.5 - x)
distance = 585 - 90x
Hence,
110x + 585 - 90x = 675
20x + 585 = 675
20x = 675 - 585
20x = 90
x = 90 / 20
x = 4.5 hours = 270 minutes
Therefore, the time used for the first part of the trip is 270 minutes.
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what’s the area and perimeter for this problem?
Answer:
Area=153.75 divdided by 2 = 76.88
permitere= 8 + 10.25+18.8=37.05
Step-by-step explanation:
1 is greater than w, and -5 is less than w
Answer:
Step-by-step explanation:
W can = 0, -1, -2, -3, and -4.
Answer:
W = 0, -1, -2, -3, -4
Step-by-step explanation:
W can not be 1 because it says 1 is greater than w
W can not be -5 because it says -5 is less than w
W can be 0, -1, -2, -3, and -4 because they fit what your question is.
Hope this helps!
what is the probability that a coin will land on heads
Answer:
50%
Step-by-step explanation:
When you toss a coin it will either land on tails or heads, so we have 2 possibilities who have the same chance of happening. Thus the probability that the coin lands on heads is 50% (same for tails).
Answer:
0.5
Step-by-step explanation:
Because probability is always between 0 and 1
the company sells laundry soap in boxes, 4 inches by 8
inches by 12 inches. The company wants to offer larger economy size boxes.
uit in ea
a. What changes in dimensions would give a box with double the volume?
What is the area of the equilateral triangle, rounded to the nearest tenth? 2.7 cm2 4.1 cm2 16.2 cm2 24.2 cm2
The area of the equilateral triangle with the given perimeter is 24.2cm².
Hence, option D)24.2cm² is the correct answer.
This question is incomplete, the complete question is:
An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm. What is the area of the equilateral triangle, rounded to the nearest tenth?
What is a triangle?A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.
An equilateral triangle is a triangle with all its three sides having the same length
The area of an equilateral triangle is expressed as;
A = ((√3)/4)a²
Where a is the length of the side
Perimeter of an equilateral triangle is expressed as;
P = 3a
Where a is the length of the side
Given that the perimeter of the equilateral triangle is 22.45 cm, the sides of the triangle will be;
P = 3a
22.45cm = 3a
a = 22.45cm / 3
a = 7.48cm
Now, the area of the equilateral triangle will be;
A = ((√3)/4)a²
A = ((√3)/4) × (7.48cm)²
A = 0.433 × 55.9504cm²
A = 24.2cm²
The area of the equilateral triangle with the given perimeter is 24.2cm².
Hence, option D)24.2cm² is the correct answer.
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Find the key features of the equation and graph it. (Can you explain how to find them and not just the answers please)
Given a function in a table or in algebraic or graphical form, identify key features such as x- and y-intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; and end behavior. Use key features of an algebraic function to graph the function.
what does the equation 7x^2-3y^2-x+2y+4=0 represent
a)circle
b)ellipse
c)hyperbola
d)parabola
Answer:
Circle
Step-by-step explanation:
because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1
ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1
parabola is y= a (x-h) 2+ k
that's why circle is the answer
Seventy percent of the class is present. There are 14 kids present. How big is the whole class?
Answer:
20
Step-by-step explanation:
Find 30% of the class
then add it
30% x 14 / 70% = 6
6 + 14 = 20 kids
Hope it helped ! Have a nice day !
we know that 14 is 70%, how much will it be for 100%? or namely the whole class?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 14 & 70\\ x& 100 \end{array} \implies \cfrac{14}{x}=\cfrac{70}{100}\implies \cfrac{14}{x}=\cfrac{7}{10} \\\\\\ 140=7x\implies \cfrac{140}{7}=x\implies 20=x[/tex]
Which of the following could be a mirror line on a coordinate plane?
A
(1, 1)
B
(0, 10)
C
the origin
D
the x-axis
Answer: D
Step-by-step explanation:
This is the only option that is a line.
Find the missing angles.
Answer:
1: 81 is the overall angle, so to find the 2nd angle that makes up the overall angle, just subtract the 1st angle from the overall angle. it would be 81 - 44 = 37. so your answer is 37°.
2: this one is solved the same as number 1, just different numbers. it would be 98 - 59 = 39. your answer is 39°.
3. we know this is angle is a right angle because of the square indicating it. a right angle is 90°, so we would take 90 - 63 = 27. so your answer is 27°.
PLEASE HELP ME OUT ASAP :(
Answer:
Step-by-step explanation:
Cylinder A:r = 3 cm
Volume = 27π cm³
[tex]\sf \boxed{\text{Volume of cylinder=$\pi r^2h$}}[/tex]
[tex]\sf \pi*3*3*h = 27 \pi\\[/tex]
[tex]h = \dfrac{27 \pi}{\pi * 3 * 3}\\\\ \boxed{\bf h = 3 \ cm}[/tex]
Cylinder B:[tex]\sf \r_A : r_B = 3 : 9[/tex][tex]\sf r_A : r_B = 3 : 9[/tex]
= 1 : 3
[tex]\sf h_A : h_B = 1 : 3\\[/tex]
[tex]\sf \dfrac{3}{h_B}=\dfrac{1}{3}\\\\ cross \ multiply,\\\\ 3*3 = 1*h_B\\\\ h_B = 9 \ cm[/tex]
Volume of cylinder B = π * 9 * 9 * 9
= 729π cm³
[tex]\sf V_A : V_B = 27 \pi :729 \pi[/tex]
= 1 : 27
Volume of cylinder A to volume of cylinder B = 1 : 27Jason can make 15 birdhouses in 3 weeks. At that rate, how many birdhouses can he make in 5 weeks?
Answer:
25 houses in 5 weeks
Step-by-step explanation:
15 house / 3 week * 5 week = 25 houses
Part c what are the dimensions of the rectangular prisms you identified in parts a and b? list dimensions for all your decompositions (sets of shapes).
previous:
part a
think about splitting this shape into rectangular prisms. what is the least number of rectangular prisms in which you can split the shape? answer: 3
part b
in how many different ways can you split the shape to get the same number of rectangular prisms you identified in part a?
answer: 2
The dimensions of the rectangular prisms are the side lengths of the rectangular prism
How to determine the dimensions?A rectangular prism has the following dimensions
Length, width and height
This means that the dimensions of the rectangular prisms are the length, width and height of the prism
To determine the dimension, we simply take the value of the above terms i.e. length, width and height
How to split the rectangular prism?To split the rectangular prism, we simply consider the faces of the rectangular prism.
A rectangular prism has 6 faces
Hence, there are 6 shapes when the rectangular prism is split
Note that the question is incomplete, so I gave a general explanation
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