The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex].
How to model blood pressure by sinusoidal functionsA sinusoidal function is represented by following model:
[tex]y = 0.5\cdot (y_{min}+y_{max}) + 0.5\cdot (y_{max}-y_{min})\cdot \sin (2\pi\cdot f\cdot t)[/tex] (1)
Where:
[tex]y_{min}[/tex] - Minimal blood pressure[tex]y_{max}[/tex] - Maximal blood pressure[tex]f[/tex] - Frequency, in beats per minute[tex]t[/tex] - Time, in minutesIf we know that [tex]y_{min} = 85[/tex], [tex]y_{max} = 121[/tex] and [tex]f = 73[/tex], then the sinusoidal formula for blood pressure is:
[tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex] (2)
The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex]. [tex]\blacksquare[/tex]
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(4 times 2 to the third power) - (64 divided by 8)
Answer:
24
Step-by-step explanation:
(4 times 2 to the third power) - (64 divided by 8) = 4*(2^3) - 64/8
= 4*8 - 8 = 32 - 8 = 24
The answer is 24
Hope this helps :)
Have a great day!
determine the y-intercept
Answer:
-21
Step-by-step explanation:
the y intercept is when x=0.
you can see that this is a linear equation where each increase in x results in an increase of 4 onto the y value.
so if when x=1, y=-17, subtract 4 to find what y equals when x is 0.
-17 -4=-21
good luck :)
Solve for x
1,000 = 58.3x+227.9
Answer:
x=13.243568
Step-by-step explanation:
1000=58.3x+227.9
Step 1: Flip the equation.
58.3x+227.9=1000
Step 2: Subtract 227.9 from both sides.
58.3x+227.9=1000
−227.9 −227.9
58.3x=772.1
Step 3: Divide both sides by 58.3
58.3x/58.3 = 772.1/58.3
x=13.243568
please help mee out hereeee
Answer:x=125
Step-by-step explanation:
180-55=125
Answer:
Step-by-step explanation:
x+55=180[Sum of linear pair]
x=180-55
x=125
Which expressions are equivalent? chose all that apply.
Answer:
7.7.7.7 and 7^4 and seven to the fourth power
Step-by-step explanation:
They all equal 2401.
They are all the same but in different forms:
(7.7.7.7- expression)
(7^4 - exponential form)
(seven to the fourth power-word form of exponent)
Find the length of the bolded arc if the radius is 4cm and the angle is 118 degrees.
Answer:
8.23 cm
Step-by-step explanation:
A circle is given to us and we need to find out the length of the bolded arc . The arc subtends an angle of 118° at the centre . And the radius of the circle is 4cm .As we know that , length of the arc is given by ,
[tex]\longrightarrow Length_{arc}= \dfrac{\theta}{360}\times 2\pi r [/tex]
Here ,
Angle is 118° . Radius is 4cm .On substituting the respective values,
[tex]\longrightarrow Length_{arc}=\dfrac{118^o}{360^o}\times 2(3.14)(4cm) [/tex]
Simplify ,
[tex]\longrightarrow Length_{arc}= 0.3277 \times 25.18 \ cm [/tex]
Multiply ,
[tex]\longrightarrow \underline{\underline{Length _{arc}= 8.23 \ cm}} [/tex]
This is the required answer!
PLEASE HELP!
Question:
Solve for x
(x+3)^2
Answers:
2x^2 + 3x + 2
x^2 + 6x + 9
Answer:
x² + 6x + 9
Step-by-step explanation:
(x + 3)² = (x + 3)(x + 3)
Each term in the second factor is multiplied by each term in the first factor , that is
x(x + 3) + 3(x + 3) ← distribute parenthesis
= x² + 3x + 3x + 9 ← collect like terms
= x² + 6x + 9
the length of a quarter is .955. Round .955 to the nearest tenth of an inch
Answer:
1.0 inch
Step-by-step explanation:
Round the 9 in 0.955, this turns it into 1.0, Since you said an inch, the value will be in inches.
Answer:
1.0in is your answer!
Step-by-step explanation:
the person above me explained it good enough
Figure PQRS is a rectangle. Which statement in not necessarily true:
A: PQ is parallel to RS
B: PQ is congruent to RS
C: M
D: PQ is congruent to QR
Answer:
D: PQ is congruent to QR
Step-by-step explanation:
In a rectangle, there are a few statements that are always true. Opposite sides are congruent and parallel and all angles meet at 90 degrees. However, adjacent sides (sides that are touching/share a vertex) are not necessarily congruent. They can be; if they are then that rectangle is a square. Nevertheless, if adjacent sides are not congruent, then it is still a rectangle, so long as they meet at a right angle.
Answer: D
Step-by-step explanation:
okokokokokokokokookokokok
Step-by-step explanation:
5(y+52) = -13
5y + 260 = -13
5y = -13 -260
y = -273 ÷ 5
y = -54.6
Does the expression
(41+6)
also represent the
2
number of females on the team this year? Explain.
Answer:
Yes
Step-by-step explanation:
Yes; Dividing by 2 is the same as multiplying by [tex]\frac{1}{2}[/tex].
Admission to the school dance is $4.00. There is a picture booth at the dance, and each picture costs $1.50. Maria has $10.00. Which inequality represents the number of pictures, p, that Maria can purchase at the dance with admission?
A. 4.00p + 1.50 ≥ 10.00
B. 4.00 + 1.50p ≤ 10.00
C. 4.00p + 1.50 ≤ 10.00
D. 4.00 + 1.50p ≥ 10.00
Represent the area of the region determined by the intersection of the circles x
2 + y
2 = 4
and (x − 2)2 + (y − 2)2 = 4 by an integral. Do not evaluate the integral.
I think you mean the circles
x² + y² = 4
(x - 2)² + (y - 2)² = 4
Notice that both have radius 2, but the first one is centered at the origin (0, 0) while the second one is centered at (2, 2). The two circles intersect at the points (2, 0) and (0, 2), which means the bounded region between them is contained entirely in the first quadrant.
If we solve both equations above for y, we would find two solutions in each case:
x² + y² = 4 ⇒ y = ± √(4 - x²)
(x - 2)² + (y - 2)² = 4 ⇒ y = 2 ± √(4 - (x - 2)²)
The positive/negative root corresponds to the upper/lower semicircle the make up the full circle. The semicircles we're interested in are
y = + √(4 - x²)
y = 2 - √(4 - (x - 2)²)
that is, the upper half of the circle centered at the origin, and the lower half of the circle centered at (2, 2).
So, in standard Cartesian coordinates, the bounded region (call it R) is the set
[tex]R = \left\{(x, y) : 0 \le x \le 2 \text{ and } 2-\sqrt{4-(x-2)^2} \le y \le \sqrt{4-x^2} \right\}[/tex]
and the area is given by the double integral
[tex]\displaystyle \iint_R dA = \boxed{\int_0^2 \int_{2-\sqrt{4-(x-2)^2}}^{\sqrt{4-x^2}} dy \, dx}[/tex]
Please help, I’ll mark your answer as brainliest.
Please help Mandy took out a $35,000 loan to buy a car. What is the principal?
The principal of a loan is the amount of money they took out as a loan.
Principal = $35,000
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
Answer:
12
Step-by-step explanation:
30% of 40=12
What is the expected number of female children in a family with three children? 1 1. 5 2 2002. 5.
The expected number of female children in a family with three children is 1.5.
The correct option is B.
We have to determine
What is the expected number of female children in a family with three children?
Probability;Probability is defined as the sum of all observations and the number of observations.
The expected value of female children= Probability of female children x Total number of children.
A child can be male or female, so there are 2 combinations, the favorable outcome is female.
The probability of female children = 1/2.
Therefore,
The expected number of female children in a family with three children is;
[tex]= \dfrac{1}{2}\times 3\\\\=1.5[/tex]
Hence, The expected number of female children in a family with three children is 1.5.
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Explain Direct Variation. What does “k” equal?
Answer:
In y = kx, where k is the constant of proportionality.
Answer:
k is the constant
Step-by-step explanation:
Direct variation is simply explained as when a number is directly proportional to another number. For example, when 8 is directly proportional to 4 then it will result to
=> 8= k4, where k is the constant
=> divide both sides by 4 to get k
=> k= 2
Lesson 8-2
In Items 15-18, identify the transformation from the
graph of f(x) = 2* to the graph of g(x).
15. g(x) = 2* – 3
16. g(x) = 2(x – 3)
17. g(x) = 2* + 4
18. g(x) = 2(x+4)
Use the fact that sin 38 ≈ 0.6157 to solve m.
cos m ≈ 0.6157
what is the value of m?
Answer:
52°Step-by-step explanation:
We know that sine and cosine are equal when angles are complementary.
sin 38° = cos msin 38° = cos (90° - 38°) = cos 52°cos m = cos 52°m = 52°sin and cos are equal when their sum is 90°
So
cosm=0.6125=sin38cos(90-38)=sin38cos52=sin38m=52°Explain how to find a probability of an event
Answer:
what event there is no picture or words to tell me please explain
Step-by-step explanation:
Lily eats half a pound of cherries in 3/4 of a minute how many minutes will it take her to eat a full pound of cherries
Answer: a minute and a half
Step-by-step explanation:
3/4 +3/4 is 6/4 which is 1 1/2 or 1 2/4
Total pounds=1lbs
Total mins:-
2×3/43/2min1.5minConvert mixed numbers:
1. 2 1/3 x 9 2/3
2. 5 3/7 x 2 2/5
3. 2 6/13 x 2 1/4
4. 2 11/12 x 3 7/9
5. 5 3/5 x 5 1/7
6. 2 2/3 x 2 11/14
7. 7 1/4 x 2 1/2
8. 1 12/13 x 2 2/3
9. 2 3/4 x 1 1/6
10. 10 1/3 x 2 1/5
Answer:
Step-by-step explanation:
To convert this mixed numbers; mixed numbers are converted by multiplying the denominator with the whole number and add answer gotten to the numerator. you then place final answer over the denominator.
1. 21 /3 x 9 2/3 = 21/3 x 29/ 3
7 x 9.67 = 67.66
2. 5 3/7 x 2 2/5 = 38 / 3 x 12 /5 =
12.67 x 2.4 = 30.43
3. 2 6/13 x 2 1/4 = 32 / 14 x 9 /4
2.28 x 2.25 = 9.13
4. 2 11/12 x 3 7/9 = 35 / 12 x 34 /9
2.916 x 3.77 = 11.016
5. 5 3/5 x 5 1/7 = 28/5 x 31 / 7
5.6 x 4.428 = 24.8
6. 2 2/3 x 2 11/14 = 8/3 x 39/14
2.66 x 2.78 = 7.413
7. 7 1/4 x 2 1/2 = 29/4 x 5 /2
7.25 x 2.5 = 18.125
8. 1 12/3 x 2 2/3 = 15 /3 x 8/3
5 x 2.66 = 13.33
9. 2 3/4 x 1 1/6 = 11/4 x 7/6
2.75 x 1.166 = 3.20
10. 10 1/3 x 2 1/5 = 31/3 x 11/5
10.33 x 2.2 = 22.726
Leonard has $87.00 in his checking account. He writes a check to his credit card company for $95.00.
Which statement describes Leonard’s new checking account balance?
Leonard’s balance is −$182.00.
Leonard’s balance is −$8.00.
Leonard’s balance is $8.00.
Leonard’s balance is $182.00.
Answer:
Leonard’s balance is −$8.00.
Step-by-step explanation:
which of the following is a rational number but not an integer
-9
0
-4.3
3
A rectangle is 10 feet long by 2 feet wide.
If 3 feet are removed from the length of t
would be the area, in square feet, of the
You can earn 1 coin
Answer:
14 ft²
Step-by-step explanation:
To find the area of a rectangle you multiply the length and width. Sense the length is 10 feet but 3 feet was removed it is now 7 feet. Now you multiply that 7 feet by the width of 2 feet to get
7×2=
Area= 14 ft²
Find the area of the rectangle below
length = 11 in
width = 17 in
Answer:187
Step-by-explanation: width multiply by height
=11 times 17
=187
Use the bar graph. Astronauts installed 15 new tiles on the outside of the space station they spent 390 minutes on the task. each tile took the same amount of time to install. draw a bar in the graph to show the time needed to install a tile. Explain
Answer:
11. It will take about 26 minutes to install a singular tile.
12. It will take about 10 more minutes to install a light than it does to install a cable.
Step-by-step explanation:
11. Since installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time, you can divide the total amount of time by the number of tiles.
390/15= 26 minutes
It will take about 26 minutes to install a single tile.
12. By looking at the chart it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.
22-12= 10 minutes
It takes about 10 minutes longer to install a light than it does a cable.
It took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
Installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time,
We have to divide the total amount of time by the number of tiles.
390/15= 26 minutes
It will take about 26 minutes to install a single tile.
By observing the chart, it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.
22-12= 10 minutes
It takes about 10 minutes longer to install a light than it does a cable.
Hence, it took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.
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help with part b pls thank u
Answer:
See belowStep-by-step explanation:
speed = distance / timetime = distance / speeda)
i)
Time taken at the first part:
105 / xii)
Time taken at the second part:
(190 - 105) / (x + 12) = 85/(x + 12)b)
If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:
105/x + 85/(x + 12) = 13/44(x + 12)*105 + 4(85x) = 13x(x + 12)13x² - 604x - 5040 = 0c)
Solve the equation:
13x² - 604x - 5040 = 0x = [604 ± √((-604)² + 4*13*5040) ]/26 = [604 ± √626896]/26 = [604 ± 791.77]/26x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)d)
105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)Answer:
see below
Step-by-step explanation:
Let t = time (in hours)
a) i) First 105 km of journey
[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]
[tex]\implies x=\dfrac{105}{t_1}[/tex]
[tex]\implies t_1=\dfrac{105}{x}[/tex]
ii) Rest of journey
distance = 190 - 105 = 85 km
speed = [tex]x+12[/tex] km/h
[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]
[tex]\implies x+12=\dfrac{85}{t_2}[/tex]
[tex]\implies t_2=\dfrac{85}{x+12}[/tex]
b) 3 hours 15 minutes = 3.25 hours
[tex]\implies[/tex] total time = [tex]t_1+t_2=3.25[/tex]
[tex]\implies \dfrac{105}{x}+\dfrac{85}{x+12} =3.25[/tex]
[tex]\implies \dfrac{105(x+12)+85x}{x(x+12)} =3.25[/tex]
[tex]\implies 105(x+12)+85x =3.25x(x+12)[/tex]
[tex]\implies 105x+1260+85x =3.25x^2 +39x[/tex]
[tex]\implies 3.25x^2-151x-1260=0[/tex]
multiply by 4:
[tex]\implies 13x^2-604x-5040=0[/tex]
c)
[tex]\textsf{quadratic formula} \ x=\dfrac{-b \pm\sqrt{b^2-4ac} }{2a}}[/tex]
[tex]\implies x=\dfrac{604 \pm\sqrt{(-604)^2-4(13)(-5040)} }{2(13)}}[/tex]
[tex]\implies x=\dfrac{604 \pm\sqrt{626896} }{26}}[/tex]
[tex]\implies x = 53.68, x=-7.22[/tex]
(to 2 decimal places)
d) time ≥ 0, therefore, x = 53.68 only
Substitute x = 53.68 into the expression for [tex]t_1[/tex] and solve for [tex]x[/tex]:
[tex]\implies t_1=\dfrac{105}{53.68}=1.955912... \textsf{hours}=\textsf{1 hr 57 min}[/tex]
DIG DEEPER A vehicle travels 250 feet every 3 seconds. Find the value of the ratio the unit rate, and the constant of
proportionality.
The value of the ratio is ( )
The unit rate is ( )
feet per ( )
second
The constant of proportionality is ( )
Answer:
83.33 or 83.3 feet per second
Step-by-step explanation:
250 feet/3 seconds = 83.33 ft per second