Answer:
second option
Step-by-step explanation:
The range is all of the y values. In this scenario, the y values are the number of sit-ups per minute. We can eliminate the first and third options because they're talking about x when we want y. Additionally, we can eliminate the last option because that is all of the x values, therefore, the answer is the second option.
Answer:
[tex]\boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
The range of a function is the set of all possible output values [tex]F(x)[/tex].
Options A and C are wrong because they talk about the input value x.
The output values are the number of sit-ups.
Option D talks about the ages (input).
A population of values has a normal distribution with μ = 47.2 and σ = 22.8 . You intend to draw a random sample of size n = 176 . Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is greater than 45.1.
Answer:
22.8
Step-by-step explanation:
Help me please ty ty ♀️❤️
Answer:
AHH! Geometry!
Thanks for this problem. Needed to refresh my skill for similarity and rations.
First, notice the lines that are on sides of the triangles. Lines with the same number of marks are the same measure. You may have already known this, but I'll just tell you for reference.
That means both of those pair of sides have equal length. What does this mean though?
Imagine that each of the line segments(the ones with two marks) are... 1 cookie (Their lengths, also, I really want a cookie.)
Now, this is where ratios come into play. Consider only the top triangle to the entire triangle. The Top Triangle has a side with the length of one cookie. That corresponding side on the entire large one is 2 cookies (because they are the same measure, and 1*2=2).
Thus, we can make a ratio, comparing the lengths of a corresponding sides.
(BTW, these are similar triangles, meaning that they have all the same angle measures, but different side lengths.)
[tex]\frac{1Cookie}{2Cookies}[/tex]
Now. (Refer to above) Similar triangles have ratios of similarity. Meaning that: Corresponding sides have a 1/3 ratio. This means, also, that all the other corresponding sides have a 1/3 ratio. Neat, huh?
Putting into other words, we can compare CB and RT with the same 1/2 ratio!(Just cancel out the cookies, its still the same ratio)
Now, that we have all our needed information, let's solve!(Also, remember to match it up properly, or else it won't work: Small triangle side/Small Triangle side=Large Triangle Side/Large Triangle Side, or something like that).
[tex]\frac{1}{3x-8} =\frac{2}{2x+4} \\2x+4=6x-16\\4x=20\\x=5[/tex]
^ ANSWER
So there you go! X is equal to 5. I'm sure you can solve the rest on your own!
Hope this helps!
Stay Safe! I'm going to get that cookie now...
Given: XY - tangent to circles k1(P) and k2(O) OX=16, PY=6 and OP=26 Find: XY
Answer:
the answer is XY = 24 units.
Step-by-step explanation:
Given:
XY is tangent to the circles with center P and O respectively.
OX=16 units
PY=6 units
OP=26 units
To find:
Side XY = ?
Solution:
As per given statement, the diagram of two circles and their tangent is shown in the diagram.
We need to do one construction here,
Draw a line parallel to tangent XY from P towards OX such that it meets OX at A .
Now, let us consider triangle [tex]\triangle OAP[/tex]. It is a right angled triangle.
With sides Hypotenuse, OP = 26 units
Perpendicular, OA = 16 -6 = 10 units
Base AP is equal to XY.
If we find the value of Base AP, the value of XY is calculated automatically.
Let us use pythagorean theorem in [tex]\triangle OAP[/tex]:
According to pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OP^{2} = AP^{2} + OA^{2} \\\Rightarrow 26^2=XY^2+10^2\\\Rightarrow XY^2 = 676- 100\\\Rightarrow XY = \sqrt{576}\\\Rightarrow XY = 24\ units[/tex]
Hence, the answer is XY = 24 units.
Explain PLEASE:
The legs of a right triangle are lengths x and x√3. The cosine of the smallest angle of the triangle is _____.
a. 1/2
b. √3
c. √3/2
d. 2√3
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
The quickest way to solve this is to recognize this as a 30-60-90 triangle. The smallest angle is 30 degrees, and the answer is simply cos 30º.
You can also use the pythagorean theorem to find the length of the hypotenuse, then use SOH-CAH-TOA to get the answer.
ebony is solving a quadratic equation. she wants to find the value of x by taking the square root of both sides of the equation. which equation allows her to do this?
a. x^2 - 8x + 64 = 32
b. x^2 - 144x + 12 = 13
c. x^2 - 6x - 9 = 15
d. x^2 - 4x + 4 = 36
Answer:
D
Step-by-step explanation:
x^2 - 4x + 4 = 36
Take the square root on both sides.
x - 2x + 2 = 6
Answer:
Bottom right on TTM/Imagine Math on the question asked it is d.
Step-by-step explanation:
Find the complex fourth roots of 81(cos(3π/8)+isin(3π/8)). a) Find the fourth root of 81. b) Divide the angle in the problem by 4 to find the first argument. c)Use the fact that adding 2π to the angle 3π/8 produces the same effective angle to generate the other three possible angle for the fourth roots. d) Find all four of the fourth roots of 81(cos(3π/8)+isin(3π/8)). express your answer in polar form.
Answer:
The answer is below
Step-by-step explanation:
Let a complex z = r(cos θ + isinθ), the nth root of the complex number is given as:
[tex]z_1=r^{\frac{1}{n} }(cos(\frac{\theta +2k\pi}{n} )+isin(\frac{\theta +2k\pi}{n} )),\\k=0,1,2,.\ .\ .,n-1[/tex]
Given the complex number z = 81(cos(3π/8)+isin(3π/8)), the fourth root (i.e n = 4) is given as follows:
[tex]z_{k=0}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(0)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(0)\pi}{4} ))=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})] \\z_{k=0}=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})]\\\\z_{k=1}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(1)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(1)\pi}{4} ))=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})] \\z_{k=1}=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})]\\\\[/tex]
[tex]z_{k=2}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(2)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(2)\pi}{4} ))=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})] \\z_{k=2}=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})]\\\\z_{k=3}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(3)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(3)\pi}{4} ))=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})] \\z_{k=3}=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})][/tex]
What part of an hour passes between 3:16 P.M. and 3:34 P.M.?
Answer:
18 minutes
Step-by-step explanation:
1: Calculate how many minutes are in an hour
2: Take 3:16 and add until 3:34
The part of an hour 3/10
What is time elapsed?Elapsed time is the time taken by an event to occur between the start of the time and the end of the time. In simple words, we can say that the amount of time that has passed between the beginning and the end of an event is called the elapsed time. We can determine this time by subtracting the end time and the start time. The formula to calculate the elapsed time is simply to subtract the hours and minutes separately. It gives the duration of an event.
Elapsed time means the time that has elapsed between the start of the time and the end of the time.
For example, if a man starts traveling at 10:30 AM and ends the journey at 12:15 PM, the time elapsed is the duration of his journey, that is, the time between 12:15 PM and 10:30 AM. Elapsed time is an important concept as it helps us to learn to read the time on a clock and measure the time taken for an event to occur.
Formula:
Elapsed Time = End Time - Start Time
As, 3:16 p.m. shows 44 minutes before 4:00 p.m.
and, 3:34 p.m. shows 26 minutes before 3: 34 p.m.
As, there is difference of
=44-26
=18 minutes
Hence, the part of an hour = 18/60= 3/10
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Please answer this fast now
Answer:
CD = 2Step-by-step explanation:
If m∠CED = 30° and m∠CDE = 90° than triangle CED is half of equilateral triangle where CE is side of the equilateral triangle, DE is hight of equilateral the triangle and CD is half of side of the equilateral triangle.
[tex]\dfrac{CE\sqrt3}2=2\sqrt3\\\\CE\sqrt3=4\sqrt3\\\\CE=4=s\\\\CD=\dfrac s2=\dfrac42=2[/tex]
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
9/13
Step-by-step explanation:
rise = y₂ - y₁ = -1 - (-10) = -1 + 10 = 9
run = x₂ - x₁ = 9 - (-4) = 9 + 4 = 13
Step-by-step explanation:
Container 1 has 174 lires of oil, Container 2 has 258 litres of oil. Sam pours entire contents of container 1 into smaller jars, so that the oil completely fills the jars and there is no oil left. He also pours the entire contents of container 2 into the same size jars so that there is no oil left. What can the maximum size of the smaller jars be?
Answer:
The maximum size of the smaller jars is 6 liters
Step-by-step explanation:
Container 1=174 liters of oil
Container 2=258 liters of oil
Same pours the entire content of container one and container 2 into the same number of smaller jars
The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258
Factors of 174=1,2,3,6,29
Factors of 258=1,2,3,6,43
Common factors of 174 and 258=1,2,3 and 6
Highest common factor=6
Therefore,
The maximum size of the smaller jars is 6 liters
i. For any uniform probability distribution, the mean and standard deviation can be computed by knowing the maximum and minimum values of the random variable.
a) true
b) false
ii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.
a) true
b) false
iii. The uniform probability distribution's shape is a rectangle
a) true
b) false
Answer: I. True
II. True
III. True
Step-by-step explanation:
Uniform probability distributions, this are probability distributions which have equally likely outcomes. There are two known types of uniform distributions:
1. discrete
2. continuous.
In the first type of distribution, each outcome is discrete. In a continuous distribution, outcomes are continuous this means they are usually infinite.
Solve 2(3x+6)=3(x-9) 2p-3=3p+2 2(3x-1)-7(5x+4)=9(2x-3)
Answer:
Step-by-step explanation:
1. 6x + 12 = 3x - 27
3x + 12 = -27
3x = -39
x = -13
2. 2p - 3 = 3p + 2
-p - 3 = 2
-p = 5
p = -5
3. 6x - 2 - 35x -28 = 18x - 27
-29x - 30 = 18x - 27
-47x - 30 = -27
-47x = 3
x = -3/47
One afternoon Anne leave her house and walk 5 blocks north to the post office then she walk 2 blocks north to the bank finally she walk 3 blocks south to the coffee shop were is the coffee shop relative to her house
Answer:
B
Step-by-step explanation:
John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation, and find the cost of one large drink
Answer:
cost of one drink: $1.70
Step-by-step explanation:
P = price of pizza
L = Price of each large drink
Gift certificate discount =$ 7
Net paid= $12.10
P +3L -7 = 12.10
14 +3L -7 =12.10
7+3L =12.10
3L = 12.10 -7 = 5.10
L = $1.70 for each large drink
hopefully this helped :3
Answer: The equation to model this situation is 3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .
Step-by-step explanation:
As given
John and 2 friends are going out for pizza for lunch.
They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10.
let us assume that the numbers of large drinks are represented by d .
Than the equation becomes
Total money spend = Number of drinks × d + Pizza cost - Gift certificate amount .
Putting all the values in the above
12.10 = 3d + 14.00 - 7.00
Simplify the aboves
12.10 = 3d + 14 - 7
12.10 = 3d + 7
12.10 - 7 = 3d
5.1 = 3d
d = $ 1.7
Therefore the equation to model this situation is 3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .
Solve by completing the square: x^2+4x-5
Answer:
(x + 2)^2-9
How to find answer:
Use the formula (b/2)^2 in order to complete the square.
Hope this helps :)
Find the measure of AngleJ, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree. 30° 34° 42° 47°
Answer:
34°
Step-by-step explanation:
The law of cosines is good for finding angles when only sides are known. We'll use the conventional sides a, b, c, and angles A, B, C. Yes, we know the problem statement calls the smallest angle "J". We trust you can make the translation.
a² = b² +c² -2bc·cos(A) . . . . . for sides a, b, c and angle A
Solving for the angle, we get ...
A = arccos((b² +c² -a²)/(2bc))
Filling in the numbers with "a" being the shortest side, we have ...
A = arccos((13² +19² -11²)/(2·13·19)) = arccos(409/494)
A ≈ 34.113°
The smallest angle, ∠J, is about 34°.
Answer:
b
Step-by-step explanation:
find the solution of x and y
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75
Which of the following is NOT a trig function OR an inverse? a COT b TON c SIN d COS
Answer:
B
Step-by-step explanation:
A nice way to remember the normal trig functions and what they stand for is with SOH CAH TOA, where S represents the Sin, C represents the Cos, and T represents tan. Note: those are only abbreviations of the actual words.
I don't know a way to remember the names of the inverse trig functions, but they are Csc, sec, and cot.
Looking at all of the options, only TON does not fit the bill, so that's the answer.
λ represents the average rate, and the expected number of events in a given time frame for the ____________ distribution.
A. Poisson
B. normal
C. binomial
D. geometric
Answer:
The correct answer is:
Poisson (A.)
Step-by-step explanation:
A Poisson distribution is used to model the number of events occurring within a given time interval, when the average number of times that the event occurs within the time interval is given.
Lambda ( λ ) is a rate parameter in Poisson's distribution, and it is used to represent "event/time", and it simply represents the expected number of events in the interval.
PLEASSSSEEE HELP ! what number belongs in the box ? y=200+ ? x
Answer:
10
Step-by-step explanation:
It's the $10 that is to be added to the cost for each produced item.
Help please!Thank you
Answer:
f. 85
Step-by-step explanation:
All triangles add up to 180 degrees
BCE=25
then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60
isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)
we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees
since 70 (angle DBC) + 25 (Angel BCA)= 95
we just subtrract 95 from 180 to get the answer 85 (:
Answer:
85 degrees
Step-by-step explanation:
if Δ ABD is equilateral then the 3 sides and three angles are equal
sum of angles of Δ=180
180/3=60 degrees (∠A,∠B,∠D)
ΔBCA is isosceles then the two angles A and C are equal = 25
∠B=180-50=130
∠B in Δ BEC=130-60=70
∠E+∠B+∠C in Δ BEC=180
∠E= 180-70-25=85 degrees
I need your help with this question please explain why and show work.
Answer:
1
Step-by-step explanation:
y=2x+3, 2x represents the slope of the line and 3 represents the y-intercept
these cones are similar. find the volume of the smaller cone. round to the nearest tenth.
Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = [tex]\frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}[/tex]
= [tex]\frac{r_2}{r_1}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
[tex]\frac{V_1}{V_2}=(2.5)^3[/tex]
[tex]\frac{131}{V_2}=15.625[/tex]
[tex]V_2=\frac{131}{15.625}[/tex]
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
Solve the system of equations: y=x^2+3x-6 y=2x-6
here's your answer in the given attachment
Answer:
Solution: {(-1,-8), (0,-6)}
Step-by-step explanation:
y=x^2+3x-6 ............(1)
y=2x-6 ....................(2)
Solution:
by comparison, the right-hand sides of both equations are equal (to y)
x^2+3x-6 = 2x - 6
Transpose and simplify
x^2 -x = 0
x = -1 or x=0
Substitute x = -1 in (2)
y = 2(-1) -6 = -8 ..............(-1,-8)
substitute x = 0 in (2)
y = 2(0) -6 = -6 ...............(0,-6)
So there are two solutions, corresponding to the intersection of the quadratic and the straight line.
What is the maximum value of the function f(x)=-x^2+6x+1 (enter an exact number) rotate image to see the problem
Answer:
10
Step-by-step explanation:
f(x)=-x^2+6x+1
This is a parabola that opens downward( the - coefficient of x^2)
The maximumx is at the vertex
The x coordinate is at
-b/2a where ax^2 + bx +c a =-1 b=6 c=1
-6/(2*-1)
-6/-2 = 3
The x coordinate of the vertex is 3
f(3) = - (3)^2 +6(3)=1
= -9+18+1
= 10
The vertex is ( 3,10)
The maximum value is 10
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex]f(x)=-x^2+6x+1[/tex]
x coordinate:
[tex]\frac{-b}{2a}[/tex]
[tex]a=-1\\b=6[/tex]
[tex]\frac{-6}{2(-1)} \\\frac{-6}{-2}\\ =3[/tex]
y-coordinate:
[tex]f(3)=-(3)^2+6(3)+1\\f(3)=-9+18+1\\f(3)=10[/tex]
Please answer this question now
Answer:
f =7.5Step-by-step explanation:
[tex]Opposite =f\\Hypotenuse = 9\\Adjacent = 5\\\alpha = 50\\Using \: Pythagoras \:Theorem \\Hypotenuse^2 = Opposite^2 +Adjacent^2\\9^2 = f^2+5^2\\81=f^2+25\\81-25=f^2\\56=f^2\\\sqrt{56} = \sqrt{f^2} \\f = 2\sqrt{14} \\f = 7.483\\\\f = 7.5[/tex]
Represent the expression
(4 x 1,000) + (3 x 100) + (6 x
1/100) + (7x1/1000)
as a decimal number.
Work Shown:
4*1000 = 4000 = 4 thousand
3*100 = 300 = 3 hundred
6 * (1/100) = 0.06 = 6 hundredths
7 * (1/1000) = 0.007 = 7 thousandths
add up the results
4000 + 300 + 0.06 + 0.007 = 4300.067
The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000)
Simplify the expression, then we have
⇒ 4,000 + 300 + 0.06 + 0.007
⇒ 4,300.067
The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.
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Evaluate the expression 2x – xy for x=− 1/2 and y=8
Answer:
3
Step-by-step explanation:
2x-xy
2(-1/2)-(-1/2)(8)
-1+4
=3
Please help asap! I don’t really understand
Answer:
x² +3x -8x -24(x² +3x) +(-8x -24)x(x +3) -8(x +3)(x +3)(x -8)Step-by-step explanation:
This is trying to help you understand a method of factoring trinomials.
The first step is to look at the linear term (-5x) and the constant term (-24) and identify the coefficients and their signs: -5 and -24.
The next step is to identify factors of -24 (the constant) that have a sum equal to -5 (the linear term coefficient). We can look at the ways that -24 can be factored:
-24 = 1(-24) = 2(-12) = 3(-8) = 4(-6)
The sums of these factor pairs are 1-24=-23, 2-12=-10, 3-8=-5, 4-6=-2. Of course, the pair we're looking for is +3 and -8.
The next step from here is to rewrite the linear term using these factors. (-5x=3x-8x) This is the first step of the sequence shown in the figure:
x² +3x -8x -24
The next step is to group these terms in pairs:
(x² +3x) +(-8x -24)
And then, to factor each pair using the distributive property:
x(x +3) -8(x +3)
Finally, finish the factoring, again using the distributive property:
(x +3)(x -8)
If f(x) is the total cost, in dollars, of x candles, which of the following statements best describes the meaning of f(2)=6
Answer: A) The total cost of 2 candies is $6.00.
Step-by-step explanation:
Hi, the question is incomplete, options are :
A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.
So, to answer this question we have to analyze the function given:
f(2)=6
Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :
A) The total cost of 2 candies is $6.00.