The possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison.
How to determine the possible outlier
In this data set, we observe that data set observes the rule that first component increases inasmuch the second component of the ordered pairs decreases. Thus, the possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison. [tex]\blacksquare[/tex]
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What is the length of the circumference of a hula hoop with a diameter of 32 inches?
Use π = 3.14 in your calculations.
1Points
A
16 in
B
100.48 in
C
200.96 in
D
803.84 in
Answer:
B
Step-by-step explanation:
C = πd = 3.14 * 32 = 100.48in
help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]
Answer:
[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:distribute tan(θ):
=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0
remove parentheses:
=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0
so this equation is now in standard form i.e ax²+bx+c=0
we can solve by factoring as we solve quadratic equation
factor out tanθ:
=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0
factor out -√3:
=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0
group:
=>(tan(θ)-√3)(tan(θ)-1)=0
separate it as two different equation:
[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]
add 1 and √3 to both sides to first and second equation respectively:
[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]
[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]
[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]
what is the y intercept of the linear function graphed here
Answer:
0,-1
Step-by-step explanation:
True or false; The radian value of 3n/2 corresponds to the positive y-axis?
True
False
Answer:
true
Step-by-step explanation:
A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold? A 2.094 cm B. 524 cm C. 262 cm
Answer:
C. 262 cm
Step-by-step explanation:
Use the formula for the volume of a sphere, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
Since the diameter is 10 cm, the radius will be 5 cm
Plug in the radius into the formula:
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](5³)
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](125)
V = 523.6
Since the bowl is a hemisphere, divide this by 2:
523.6/2
= 261.8
Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.
So, the correct answer is C. 262 cm
PLZZZZZZ HEEEEEEEEELLLLLPPPPP
(will mark brainliest for correct answers)
Answer:
y=4
Step-by-step explanation:
3(9) +4y= 43
27+4y=43
4y=16
y=4
Does 5/8 and 12/20 form a proportion
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth
Answer:
x ≈ 8.1 units
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan72° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )
x × tan72° = 25 ( divide both sides by tan72° )
x = [tex]\frac{25}{tan72}[/tex] ≈ 8.1 ( to the nearest tenth )
Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.
A) 59 in
B) 29.5 in
C) 19.2 in
D) 554.3 in
Answer:
Sorry, I can't complete this without knowing the radius, or diameter.
Step-by-step explanation:
Which distribution is symmetrical (bell shaped)?
A)
B)
L
1
o
D)
Answer:
D
Step-by-step explanation:
D starts low on both sides but is highest in the middle
How does Ray Bradbury's description of Margot's appearance in "All Summer in a Day" also give insight into her feelings?
Answer:
The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.
Step-by-step explanation:
The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.
Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.
PLEASE HELP ME!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Given the proportion a/b = 8/15, what ratio completes the equivalent proportion a/8=?
Answer:
a/8 = b/15
Step-by-step explanation:
a/b = 8/15 -- divide both side by 8 and multiple both side by b
a/8 = b/15
This triangle-based oblique pyramid has a volume of 13 cm 9 cm 4 cm 3 cm What is the height h of the pyramid?
Answer:
6.5
Step-by-step explanation:
Answer:
6.5 centimeters (proof below!)
Step-by-step explanation:
what does it mean to evaluate an expression in 5th grade
Answer:
Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.
Does that make sense?
Step-by-step explanation:
find the median of data set: 23, 31, 32, 34, 39, 38, 38, 34, 38
Answer: 34
Hope this helps :)
La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.
please help me!!!!!!!!!
Answer:
120
Step-by-step explanation:
TQR = 180 - (35+25) = 120
TQP= 180-120=60
TNP=TQP =60
MNT= 180-60=120
Evaluate each expression
7 + 9=
43 - 5=
I need help ASAP please
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
c = 3[tex]\sqrt{2}[/tex]
In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle
Given:
The vertices of a right triangle are:
[tex](-3,4),(3,4),(3,-4)[/tex]
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]
[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]
[tex]AB=\sqrt{(6)^2+0}[/tex]
[tex]AB=\sqrt{36}[/tex]
[tex]AB=6[/tex]
Similarly,
[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]
[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]BC=\sqrt{64}[/tex]
[tex]BC=8[/tex]
And,
[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]
[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]AC=\sqrt{36+64}[/tex]
[tex]AC=\sqrt{100}[/tex]
[tex]AC=10[/tex]
Now, taking sum of squares of two smaller sides, we get
[tex]AB^2+BC^2=6^2+8^2[/tex]
[tex]AB^2+BC^2=36+64[/tex]
[tex]AB^2+BC^2=100[/tex]
[tex]AB^2+BC^2=AC^2[/tex]
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?
Answer:
$80
Step-by-step explanation:
10x + 30 = y
He wants to rent it for 5 hours, so we replace x with 5.
10(5) + 30 = 80
He should expect to pay $80 for the rental.
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.
Answer:
A= 94°, B = 102°, C = 86°, D = 78°Step-by-step explanation:
ABCD is a cyclic quadrilateral
It has the property that opposite angles are supplementary: A with C and B with D.
Solve following for x:
x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°The angles are:
A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°Select all the equations that have no solution and state your reasoning as of "why" they do not have a solution. +6=5+ x+6=5+x −2(−3)=-2+6 −2(x−3)=-2x+6 4−4=3+2 4−4x=3x+2 4(+1)=3(+2) 4(x+1)=3(x+2) 5−3=-3+4 5−3x=-3x+4
Equations:
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Answer:
[tex]x+6=5+x[/tex]
[tex]5-3x=-3x+4[/tex]
Step-by-step explanation:
Given
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Required:
Which have no solution
[tex]x+6=5+x[/tex]
Subtract x from both sides
[tex]x -x+6 = 5 + x - x[/tex]
[tex]6 = 5[/tex]
[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]
[tex]-2(x-3)=-2x+6[/tex]
Open bracket
[tex]-2x + 6 = -2x + 6[/tex]
Both sides are equal.
Hence, there is an [tex]Infinite\ Number[/tex] of Solutions
[tex]4-4x=3x+2[/tex]
Collect like terms
[tex]-3x - 4x = 2 - 4[/tex]
[tex]-7x = -2[/tex]
Solve for x
[tex]x = \frac{-2}{-7}[/tex]
[tex]x = \frac{2}{7}[/tex] --- This has a solution
[tex]4(x+1)=3(x+2)[/tex]
Open brackets
[tex]4x + 4 = 3x + 6[/tex]
Collect like terms
[tex]4x-3x = 6 - 4[/tex]
[tex]x = 2[/tex] --- This has a solution
[tex]5-3x=-3x+4[/tex]
Add 3x to both sides
[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]
[tex]5 = 4[/tex]
[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]
help me plzzzzzzzzzzzzzzzzzzz
Answer:
-5
Step-by-step explanation:
1*1=1
1-6= -5
Hope this helped!
The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
Step-by-step explanation:
The computation of the probability is shown below":
P(x>15.9) is
[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]
Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
We simply applied the above formula
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%
Step-by-Step Explanation:
P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve
Note:
Hope this helps you in the future.
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[tex]y= 82(1.045)[/tex]What is the rate of growth Michael expects each week after launching the website?
y=82(1.045)
Answer: pls help with the answer this is hard
Step-by-step explanation: i really need help!!!
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
Answer:
What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120
Step-by-step explanation:
If a = 24 ft, b = 31 ft, and c = 37 ft, what is the area of the backyard? help me
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 27528 ft^3
Explanation:
24 x 31 x 37 = 27528
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
the weight of 65 books is 13 kg what is the weight of 80 Such books
PLEASE SOMEONE!!HELP!! I need the answer right now
Answer:
m = -1, b = 5.
Step-by-step explanation:
We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.