Answer:
[tex]0 \le t \le 36[/tex]
Step-by-step explanation:
Given
The graph of h(t)
Required
Determine the domain
t represents the horizontal data and according to the graph;
The value of t starts at 0 (the beginning of the curve)
and ends at 36 (the end of the curve)
These values are the domain of the graph, and it can be represented as: [tex]0 \le t \le 36[/tex]
The domain of H(t) is [tex]0\leq t\leq 36[/tex]
The correct answer is option B. 0 ≤ t ≤ 36
To do this question, the main thing is to look at picture.
We know from the graph that this is a quadratic function, So t has to be less than some positive number.
{ if t → -∞, H(t) → -∞, not in the line with the actual situation}
and look at the graph, the point where H(t) equals zero, one is 0 and one is 36.
Therefore: the domain of H(t) is [tex]0\leq t\leq 36[/tex].
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Answer:
an=10n+90, a10=190
Step-by-step explanation:
The difference is 10. We can use this to find the formula an=10n+90.
Then, but in 10 for n.
10*10+90
100+90
190
What is true regarding two adjacent arcs created by two
intersecting diameters?
Given:
Two diameters intersect each other.
To find:
The correct statement regarding two adjacent arcs created by two intersecting diameters.
Solution:
We know that, two diameter intersect each other at origin and measure of arc is equal to the corresponding angle generated by the intersection of diameters.
If two lines intersect each other then we get 4 angles and sum of any two adjacent angles is 180°.
It means the sum of any two adjacent central angles generated by the intersection of diameters is 180°.
So, the sum of two adjacent arcs created by two intersecting diameters is 180°.
Therefore, the correct option is C.
The quotient of 20 and 3 more than x is 4. Find x
Answer:
i am shocked to see this question i also want the answer of this
Stephanie gets an average of 11 calls during her 8 hour work day. What is the probability that Stephanie will get more than 4 calls in a 2 hour portion of her work day
Answer:
0.145
Step-by-step explanation:
Suppose λ = average number of an event occurring in an interval of a presented length; &
x = no. of events occurring in an interval length t
Thus, x has a Poisson distribution with parameter λt.
i.e.
[tex]P[X=k] = \dfrac{(\lambda t)^k\times e^{-\lambda t}}{k!} \ \ \ where; k = 0,1,2 ...[/tex]
Given that:
The average number of call every 8 hours = 11
Then, the parameter for the Poisson process [tex]\lambda =\dfrac{11}{8}[/tex]
where;
t = 2 hours
[tex]\lambda t = \dfrac{11}{8}\times 2[/tex]
[tex]\lambda t = \dfrac{11}{4}[/tex]
Also,
x = no. of calls occurring at an interval of length 2
The required probability is as follows:
P(x > 4) = 1 - [P ( x≤ 4) ]
[tex]=1 - [ P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) ][/tex]
[tex]= 1 - \bigg [ \dfrac{(\dfrac{11}{4})^0 \times e^{-11/4}}{0!}+\dfrac{(\dfrac{11}{4})^1 \times e^{-11/4}}{1!}+ \dfrac{(\dfrac{11}{4})^2 \times e^{-11/4}}{2!}+ \dfrac{(\dfrac{11}{4})^3 \times e^{-11/4}}{3!}+ \dfrac{(\dfrac{11}{4})^4 \times e^{-11/4}}{4!} \bigg ][/tex]
[tex]= 1 - \begin {bmatrix} 1 + \dfrac{11}{4} + \dfrac{\bigg (\dfrac{11}{4}\bigg)^2}{2}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^3}{6}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^4}{24} \end {bmatrix} e^{-11/4}[/tex]
[tex]= 1 - [ 1 + 2.75 + 3.78125 + 3.466145833 + 2.3829] \ e^{-11/4}[/tex]
= 1 - [13.38037]× 0.06393
= 1 - 0.855407
= 0.14459
≅ 0.145 ( to 3 decimal place)
5x − 8( 1 + 7x ) = −8
Answer:
x = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x - 8(1 + 7x) = -8
Step 2: Solve for x
Distribute -8: 5x - 8 - 56x = -8Combine like terms: -51x - 8 = -8Isolate x term: -51x = 0Isolate x: x = 0Step 3: Check
Plug in x into the original equation to verify it is a solution.
Substitute in x: 5(0) - 8(1 + 7(0)) = -8Multiply: 0 - 8(1 + 0) = -8Add: -8(1) = -8Multiply: -8 = -8Here we see that -8 does indeed equal -8.
∴ x = 0 is a solution of the equation.
Question:
1. Write an equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1).
2. Write an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1).
Answer:
Explanation is written below.
Step-by-step explanation:
1)
Given the line
[tex]y = -4x + 8[/tex]
Comparing with the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
So, the slope of the line = m = -4
We know that the parallel lines have equal slopes.Thus, the equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1), using point slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here, m is the slope and (x₁, y₁) is the point
substituting the values m = -4 and the point (5, 1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y-1 = -4 (x - 5)
y-1 = -4x+20
y = -4x+20+1
y = -4x + 21
2)
Given the equation
[tex]y = -4x + 8[/tex]
Comparing with the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
So, the slope of the line = m = -4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 1/4
Thus, an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1), using point slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here, m is the slope and (x₁, y₁) is the point
substituting the values m = 1/4 and the point (5, 1)
[tex]y-1\:=\:\frac{1}{4}\:\left(x\:-\:5\right)[/tex]
Add 1 to both sides
[tex]y-1+1=\frac{1}{4}\left(x-5\right)+1[/tex]
[tex]y=\frac{1}{4}x-\frac{1}{4}[/tex]
help its 50 percent of my grade
Answer:A=144 P=40
Step-by-step explanation:
Answer:
Area is [tex]96^{2}[/tex] feet
Perimeter is 40ft
six clowns perform three acts in a circus. the clowns appear two at a time. Jack, Marty, and Orville are paired with Kelly, Leslie and Nancy in some order. Kelly and her partner appear after jack and his partner. Orivlle also comes on before Kelly, and Leslie appears before Nancy. Jack and Leslie are partners. Witch pair peforms second?
Answer:
The pair that performs second are Orville and Nancy.
Step-by-step explanation:
Since Jack and Leslie are partners and that they appear before Kelly, it is safe to assume that this pair may come first beforehand in which Orville also comes on before Kelly. Nancy also appears before Leslie and since each pair has a female and a male, it is safe to assume that Orville and Nancy perform second while Jack and Leslie perform first and Kelly and Marty perform last.
i love you man
SAY IT BACK
SAY IT BAAACK
Answer:
I´m good
Step-by-step explanation:
Answer:
I love myself
and you
help! 50% of what is 20?
50% of 10 is 20
hope this helped
:)
Use the original price and the markdown to find the retail price.
Original price: $130; Markdown: 32%
Answer:
selling price: $98.48
markdown price: $31.52
explination
find the difference between the beginning price and the decreased price, then we find the percentage by dividing the difference by the beginning price
Answer:
31$
Step-by-step explanation:
Match the vocabulary word with the correct definition.
3
1. apothem
2. inscribed polygon
a polygon that is constructed inside
of the circumference of a circle in which
the vertices of the polygon lie on the
circumference of the circle.
2
a line segment drawn from the
center of a convex polygon (inscribed in
a circle) to the midpoint of any side of
the polygon.
a convex polygon in which all of the
side lengths are equal and all of the
interior angles have equal measure.
3. regular polygon
Answer:
apothem: a line segment drawn from the center of a convex polygon (inscribed in a circle) to the midpoint of any side of the polygon.
regular polygon:a convex polygon in which all of the side lengths are equal and all of the interior angles have equal measure.
inscribed polygon:a polygon that is constructed inside of the circumference of a circle in which the vertices of the polygon lie on the circumference of the circle.
Step-by-step explanation:
The words that matched with the correct definition are given below.
What is apothem?The apothem is the angle between a chord's middle and the circle's center. The apothem of a regular polygon is only the in radius, or the distance from the center to a side.
The correct definitions are:
Apothem : a line segment drawn from the center of a convex polygon (inscribed in a circle) to the midpoint of any side of the polygon.
Regular polygon : a convex polygon in which all the side lengths are equal and all the interior angles have equal measure.
Inscribed polygon : a polygon that is constructed inside the circumference of a circle, in which the vertices of the polygon lie on the circumference of the circle.
Therefore, the correct definitions are given above.
To learn more about the apothem;
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Please help timed :( 30points
PLEASE HELP MEEE!!!Which fraction is equivalent to a ratio of 3 to 4?
Answer:
3/4
Step-by-step explanation:
Just swap the colon (:) for a slash (/)
Answer:
Any of these should work for ya :)
3/4 = 6/8 = 9/12 = 12/16
= 15/20 = 18/24 = 21/28 = 24/32
= 27/36 = 30/40 = 33/44 = 36/48
= 39/52 = 42/56 = 45/60 = 48/64
= 51/68 = 54/72 = 57/76 = 60/80
= 63/84 = 66/88 = 69/92 = 72/96
= 75/100 = 78/104 = 81/108 = 84/112
= 87/116 = 90/120 = 93/124 = 96/128
= 99/132 = 102/136 = 105/140 = 108/144
= 111/148 = 114/152 = 117/156 = 120/160
= 123/164 = 126/168 = 129/172 = 132/176
= 135/180 = 138/184 = 141/188 = 144/192
= 147/196 = 150/200 = 153/204 = 156/208
= 159/212 = 162/216 = 165/220 = 168/224
= 171/228 = 174/232 = 177/236 = 180/240
= 183/244 = 186/248 = 189/252 = 192/256
= 195/260 = 198/264 = 201/268 = 204/272
= 207/276 = 210/280 = 213/284 = 216/288
= 219/292 = 222/296 = 225/300 = 228/304
= 231/308 = 234/312 = 237/316 = 240/320
= 243/324 = 246/328 = 249/332 = 252/336
= 255/340 = 258/344 = 261/348 = 264/352
= 267/356 = 270/360 = 273/364 = 276/368
= 279/372 = 282/376 = 285/380 = 288/384
= 291/388 = 294/392 = 297/396 = 300/400
<3 Enjoy,
Dea
The original price of a jacket is $68 the sale price is 30% off the original price what is the amount off of the original price
Answer:
68 x 30 / 100= 20 . 4 $
price after sale = 68 - 20.4 =47. 6 $
2. Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.
y = 4.5 when x = 3
a. k = 13.5; xy = 13.5
b. k = 1.5; y = 1.5
x
c. k = 1.5; y = 1.5x
d. k = 13,5; 13.5y = x
Answer:
Correct choice: a. k = 13.5; xy = 13.5
Step-by-step explanation:
Inverse Proportion
Two variables x and y are in inverse proportion or variation if:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of proportionality
Since we know that y=4.5 when x=3:
[tex]\displaystyle 4.5=\frac{k}{3}[/tex]
Solving for k:
[tex]k = 4.5*3 = 13.5[/tex]
Thus the equation is:
[tex]\displaystyle y=\frac{13.5}{x}[/tex]
Or, equivalently:
[tex]xy = 13.5[/tex]
Correct choice: a. k = 13.5; xy = 13.5
What percentage of 2 hours is 30 minutes
Answer:
40%
Step-by-step explanation:
It's 40% because there's 4 half hours in two hours. I don't know if that makes sense but i hope it helps!
Which Baroque form was based on sacred texts?
O Prelude
O Opera
O Instrumental suite
O Oratorio
Answer:
It's oratorio
Step-by-step explanation:
Because i put in some research.
Can some one
help please I don’t understand this problem.
This is for regular Geometry.
geometry!! please help :(
Answer:
3
Step-by-step explanation:
Determine the intercepts of the line.
7x-5=4y -6
X-intercept:
y-intercept:
Answer:
x-intercept : (-0.1429,0)
y-intercept : (0,0.25
I need to find the area of these if you do it I will give you a 5-star rating and share you with other people brainiest included
Answer:
get up a calculator and multiply the numbers and it will give you an answer
Step-by-step explanation:
hope this helps
Which table represents a function?
Answer:
D
Step-by-step explanation:
Plz Help!
The population of Mathville is 8x10^5. The population of Algeville is 2x10^5. What is the difference in the populations?
im doing a review for my class I've blurred my name but im struggling getting to understand some of these
Brianna answers 5 questions for each chapter of a book she reads in English class.
Write an equation to represent the total number of questions, q,Brianna answers based on the number of chapters, C,
in the book she reads.
Enter your equation in the box.
Answer:
q=5c
Step-by-step explanation:
q is the total number of questions, so the other numbers/variables must be multiplied together to equal q.
c is the number of chapters read, so that must be multiplied by 5 (questions per chapter) in order to equal q.
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Please help me with this
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it will help with everything better if you go on
50 points please help :(
[tex] \frac{(y - 1) {}^{2} }{9 } - \frac{( {x - 2)}^{2} }{100} = 1[/tex]
[tex] \frac{(y { - 1)}^{2} }{ {3}^{2} } - \frac{ {(x - 2)}^{2} }{ {100}^{2} } = 1[/tex]
[tex]( \frac{y - 1}{3} {)}^{2} - ( \frac{x - 2}{10 } {)}^{2} = 1[/tex]
Answer: 5 38 7
the reason is because add and multiply the check with division while also using radious
PLEASE HELP ME I DON’T UNDERSTAND
Answer:
460
Step-by-step explanation:
If 207 students are going to college means that 207 are the 45% of the students that are going to college we need the total number of students that were in the graduating class so,
[tex]Total Students=\frac{207}{0.45} \\\\Total Students=460[/tex]
So there are 460 students in the graduating class and 45% of them are going to college which is 207
Which expression is equivalent to 16+ 2 ⋅ 36?
Answer:
88
Step-by-step explanation:
if you go by PEMDAS you would multiply 36 & 2 which is 72 then add 16 which gives you the answer 88 . Hope this helped!! :)