As the heart beats, blood pressure increases and
decreases. This happens cyclically at the rate of the
person's heart beat. A doctor is monitoring the blood
pressure of a patient whose heart rate is 70 beats per
minute. The maximum blood pressure over the course of
a 10-minute period is 120 mm/Hg and the minimum is 60
mm/Hg.
Find a sine function that models the person’s blood pressure as a function of time (in minutes).

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Got it right on edge2020

Answer 2

The sine function that models the person’s blood pressure will be f(x) = 30 sin(Πx/5) + 90.

What is a function?

Function is a relationship between two sets X and Y where Set X is called domain and set Y is called codomain.

For example f(x)= sin x+ cos x

We have,

The Blood pressure of patient with the heart rate = 70 beats/ minute

And,

In next 10 minutes,

The maximum blood pressure i.e. (a + d) = 120 mm/Hg

The maximum blood pressure i.e. (-a + d) = 60 mm/Hg

So,

Sine function works on;

f(x) = a sin(bx + c) +d

So,

Now,

Adding Maximum and Minimum blood pressure,

i.e.

(a+d)+(-a+d) = 120 + 60

⇒a + d - a + d = 180

⇒ 2d = 180

d =90

So,

NOw, substituting this value in maximum blood pressure,

i.e. (a + d) = 120

a + 90 =120

a = 30

we have time period = 10 minutes,

So,

2Π/b = 10

⇒ b = Π/5

So,

Count is started at 0.

So, c = 0,

Putting the above value,

f(x) = a sin(bx + c) +d

⇒f(x) = 30 sin(Πx/5 + 0) +90

⇒f(x) = 30 sin(Πx/5) +90

Therefore, the sine function that models the person’s blood pressure as a function of time (in minutes) will be f(x) = 30 sin(Πx/5) + 90.

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Related Questions

which elephants weight 2.85 tons when rounded to the nearest hundredth? Is it
tiny: 2.805 tons
Lizzy: 2.861 tons
Raja: 2.842 tons
fanny: 2.849 tons
Those are the 4 chooses and I am confused on it

Answers

Danny weighs 2.85 tons

The elephant that weigh 2.85 tons after rounding up is [tex](fanny: 2.849 tons)[/tex]

We are required to round to nearest hundredth so that the elephant could have a weight of 2.85 tons.First option [tex]:2.805 tons[/tex]if we round this up starting from right hand side, if we round the 5 up then it will become 1 then we have [tex]2.81 tons[/tex]Second option: 2.861 tonsIf we round up, then since 1 is not up to 5 so it becomes zero, then we have[tex]2.86 tons[/tex]Third option: 2.842 tons If we round up, then since 2 is not up to 5 so it becomes zero, then we have[tex]2.84 tons[/tex]Fourth option:2.849 tonsif we round 9 up, it will become 1, then we will add it to 4, then we have [tex]2.45 ton.[/tex]

Therefore,  Fourth option is correct.

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Add.

(2x2+4−x3)+(−4x2+6x3−2)



Express the answer in standard form.

Enter your answer in the box.

Answers

The simplified form of the expression (2x^2+4−x^3)+(−4x^2+6x^3−2) in standard form is -2x^3 + 2x^2 + 2.

What is an expression?

An expression is a mathematical phrase that can contain numbers, variables, and operators. It represents a value or a calculation, but it is not simplified to a single value.

To simplify the expression (2x^2+4−x^3)+(−4x^2+6x^3−2) in the standard form, we can combine like terms and apply the order of operations.

Step 1: Add and subtract the terms inside the first set of parentheses:

2x^2 + 4 - x^3 + (-4x^2 + 6x^3 - 2)

Step 2: Combine like terms:

-2x^3 + 2x^2 + 4 - 2

Step 3: Rearrange the terms in standard form, which is the form with the variable with the highest exponent first, and the numerical constant last:

-2x^3 + 2x^2 - 2 + 4

Step 4: Combine the constant terms:

-2x^3 + 2x^2 + 2

Hence, The simplified form of the expression (2x^2+4−x^3)+(−4x^2+6x^3−2) in standard form is -2x^3 + 2x^2 + 2.

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Please I need this help?

Answers

Answer:

6.35

Step-by-step explanation:

3y-27=5y+9-y
please help

Answers

Answer:

y=−36

Hope this helps

Answer:

Today: Thursday, 15 October 2020

Hour: 05.11 WIB (in Indonesia)

______________________________

3y - 27 = 5y + 9 - y

3y - 5y + y = 27 + 9

-y = 36

y = -36

Z/3 + 18= -35........2 step equations

Answers

Answer:

z=−159

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1

3

z+18=−35

Step 2: Subtract 18 from both sides.

1/3z+18−18=−35−18

1/3z=−53

Step 3: Multiply both sides by 3.

3*(1/3z)=(3)*(−53)

z=−159

I believe The answer is -159

10 - w = 1.5 Find w.​

Answers

Answer:

8.5

Step-by-step explanation:

w is 8.5

Answer:

8.5

Step-by-step explanation:

-w=1.5-10                                           the opposite of 10 is negative 10

-w=-8.5                                            

w=8.5                                               you are trying to get just w not negative w              

                                                         so two negatives equal a positive or -1          

                                                         times -8.5 is a positive 8.5

This is algebra 1

Determine if (2,4) is a solution to this inequality: y < 2x + 2. Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

To check if (2,4) is a solution to the inequality, y<2x+2, substitute the values of x and y in the inequality and see if it holds good for those values

y=4, x=2

Let's see if 4<2*2+2 => 4<4+2 => 4<6

And the inequality is true. So, (2,4) is a solution to this inequality

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Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.

A triangle has side lengths of (1.2u+1.8v)(1.2u+1.8v) centimeters, (6.5u+8.7w)(6.5u+8.7w) centimeters, and (5.8w-6.9v)(5.8w−6.9v) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? 13.5uw+3.6vw13.5uw+3.6vw 7.7u+1.8w+7.6v7.7u+1.8w+7.6v -1.1vw+15.2uw+3uv−1.1vw+15.2uw+3uv 14.5w-5.1v+7.7u14.5w−5.1v+7.7u

Answers

Answer:

7.7u - 5.1v + 14.5w

Step-by-step explanation:

Given length:

Side A = (1.2u+1.8v) centimeters,

Side B = (6.5u+8.7w) centimeters

Side C = (5.8w-6.9v) centimeters

Perimeter of a triangle = side A + side B + side C

= (1.2u+1.8v) + (6.5u+8.7w) + (5.8w-6.9v)

= 1.2u + 1.8v + 6.5u + 8.7w + 5.8w - 6.9v

Collect like terms

= 1.2u + 6.5u + 1.8v - 6.9v + 8.7w + 5.8w

= 7.7u - 5.1v + 14.5w

Therefore, the perimeter of the triangle is 7.7u - 5.1v + 14.5w

Please help!
575 mL = __ L
0.987 m = __ mm
24 kg = __ g
1,350 cm = __ m

Answers

Answer:

575mL= 0.575 Liters

0.987 Meters = 987 Millimeters

24 Kilograms = 24000 Grams

1,350 cm = 13.5m

575 mL = 0.575 L
0.987 m = 978 mm
24 kg = 24,000 g
1,350 cm = 14.768 m

Write a program that will solve a quadratic equation: ax2 + bx + c = 0. The program must ask the user to enter the values for a, b and c. It should then determine the discriminant of the parabola and based on the discriminant it should display the real roots: Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots. Use the if - then else structure in your program to decide the outcome of the program. User must then use the quadratic equation to solve for x: = − ± √ −

Answers

Answer:

x= -b ±√b²- 4ac/2a

Step-by-step explanation:

ax2 + bx + c = 0

Dividing the quadratic equation by a gives

x2 + b/ax + c/a = 0

x2 + b/ax = - c/a

Applying the square formula

(x)^2 + 2(x) (b/2a) + (b/2a)^2= + (b/2a)^2- c/a

(x+b/2a)^2= b²/4a² - c/a

(x+b/2a)^2= b²/4a² - 4ac/4a²

(x+b/2a)^2= b²- 4ac/4a²

Taking square root of both sides gives

(x+b/2a)= ±√b²- 4ac/2a

x= -b/2a±√b²- 4ac/2a

x= -b ±√b²- 4ac/2a

This is called the quadratic formula and it can solve the value for x for the given value of a, b and c for the quadratic equation.

From this it is concluded that

Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots.

This is because a square root of a value greater than 0 is possible and gives two values for roots of x.

The square root of a value less than 0 gives a negative number and therefore the roots are an imaginary number.

The square root of a value greater equal to 0 gives a zero leaving behind only one real root.

Alexis opened a savings account with a $120 deposit. Each week she will put $20 into the account. The equation that gives the total amount t in her account is t 120 20w, where w is the number of weeks since she opened the account. How much money will Alexis have in her savings account after 5 weeks?

Answers

Answer:

The amount of money Alexis will have in her savings account after 5 weeks is $ 220.

Step-by-step explanation:

The equation that gives the total amount t in her account is t=120+20w, where w is the number of weeks since she opened the account.

To calculate the amount of money Alexis will have in her savings account after 5 weeks, you replace the number of weeks w since she opened the account by 5:

t=120+20*5

Solving, you get:

t=120+100

t=220

The amount of money Alexis will have in her savings account after 5 weeks is $ 220.

What is the value of x

Answers

9514 1404 393

Answer:

  5 units

Step-by-step explanation:

In this geometry, all of the triangles are similar. So, the ratio of short side to long side can be ...

  x/10 = 10/4x

  4x^2 = 100 . . . . . cross multiply

  x^2 = 25 . . . . . . . divide by 4

  x = 5 . . . . . . . . . . square root

Can someone hep me on this

Answers

5x+4y= $35
x= daisies and y=roses
3x+6y=$39

A file that is 228 megabytes is being downloaded. If the download is 19.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
I megabytes
5
?
I Don't Know
Submit

Answers

Answer:

44.9 megabytes

Step-by-step explanation:

all you need to do is find 19.7% of 228!

19.7% of 228 = 44.916

Plz help due today!!!

Answers

Answer:

55 is c

Step-by-step explanation:

what number times 4 equals 20? ...5

so times 11 and 5 and you'll get 55

Answer:

c=55

20/4 is 5

11*5=55

Which points on the number line represent the quotients of these expressions? 12 divided by -6 and -15 divided by -3

Answers

Answer:

2,5

Step-by-step explanation:

basta isipin mo BWHAHAHAHAHHA balakadan

Answer:

Step-by-step explanation:

12 ÷(-6) = -2

-15÷(-3) = 5

Plz help! Is this right? Question is below!

Answers

Answer:

yes

Step-by-step explanation:

Triangle EFG has vertices E(-3,1), F(1,1), and G (4,5). Find the coordinates of the image of point F after a reflection across the x-axis.

Answers

Answer:

(1,-1)

Step-by-step explanation:

the coordinates of the image of point F after a reflection across the x-axis is (1,-1).

What is reflection?

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.

Here, given that,

Triangle EFG has vertices E(-3,1), F(1,1), and G (4,5).

We have to find the coordinates of the image of point F after a reflection across the x-axis.

Now, we know that,

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

Hence, the coordinates of the image of point F after a reflection across the x-axis is (1,-1).

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What is the remainder of 74 divided by 7

Answers

Answer:

The division rest of 74 by 7 equals 4, and the value of the quotient is 10. Proof: 74 = (7×10) + 4.

Step-by-step explanation:

hope this helped and is that iready??

The remainder of 74 divided by 7 is 4.

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

When a number is divided by another number, the number which is being divided is the dividend. Divisor is the number which divides the dividend.

Quotient is the value after the division process.

Remainder is the remaining value after the division.

If the dividend is completely a factor of divisor, remainder will be zero.

Otherwise there will be a non zero number as the remainder.

74 is not a multiple of 7.

70 is the multiple of 7 which is closest to 74.

Remainder = 74 - 70 = 4

Hence the remainder is 4.

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PLz hep me with this qustion

Answers

Answer:

pretty sure its c

Step-by-step explanation:

Answer:

A is the answer.

Step-by-step explanation:

Which value is an approximate of √27 (square root of 27)
A: 3.0
B: 5.2
C: 9.0
D: 13.5

Answers

Answer:

C) 5.2

Step-by-step explanation:

The real thing looks like this 5.19615242 …

But if you round it, the answer would be 5.2.

Answer:

B

Step-by-step explanation:

Round to the nearest integer. Its closest to 5, because its sqrt 25

Given f(x) = 4x -17 and g(x)=5/2x+7;x≠0 solve the equation f^-1(x)=g^-1(x)

Answers

Answer:

Explanation:

f(x) = 4x - 17
f^-1(x) = (x + 17)/4

g(x) = 5/2x + 7
g^-1(x) = 2(x - 7)/5

Solve f^-1(x) = g^-1(x)

(x + 17)/4 = 2(x-7)/5
5(x + 17)/20 = 8(x - 7)/20
5x + 85 = 8x - 56
-3x = -141
x = -141/-3
x = 47

‼️WILL LIST BRAINLIEST ‼️what is the equation?​

Answers

Answer: 10 plus 13.50 plus another 13.50 for another 10 songs and then whatever is half of 13.50 which is 6.75 is the cost of the entire 25 songs which is 27 plus 6.75 and you would get 33.75 hope this helps

Step-by-step explanation:

Answer:

its 33.75

Step-by-step explanation:

pay attention

If Kim owns 5 shares of stock and receives $12 per year how many shares of stock will she need to receive $24

Answers

Answer:

10

Step-by-step explanation:

one possible way to do this is to simply observe that 12*2 =24, so 5 shares must also be multiplied by 2

another way is to set up a proportion, 5/12=x/24, cross multiply, 5*24=12x, solve for x, x=(5*24)/12=10

Evaluate the expression:
1 - 2(x-y) when x = -2, y = 1

Answers

Answer:

7

Step-by-step explanation:

Plug in the values of x and y: 1 - 2(-2 - 1)Solve what's in parenthesis: -2 - 1 = -3Plug in -3: 1 - 2(-3)2 × -3 = -6Plug -6 in: 1 - -6Simplify: 1 + 61 + 6 = 7

I hope this helps!

Answer:

7

Step-by-step explanation:

Substitute the values into the corresponding variables.

1 - 2(-2 - 1)

1 + 4 + 2

= 7

A science club at Emily’s middle school has 25 members. Only 40% of the members attended Saturday meetings. What is the number of members that attended the Saturday meetings?

A. 6

B. 9

C. 10

D. 15

(Will give brainliest and a heart)

Answers

Hi! The answer would be 10.

My favorite way to solve problems like this is to use a calculator.

On your calculator you are going to do 25 times 0.40 which is the percentage converted into a decimal.

Whatever you get should be your answer! You can do this with other problems also!

Can anyone find X
Help, please

Answers

i’m honestly not sure if this is right but...
5x-3= 3x+1
5x= 3x+4
2x =4
x=2

Chris wants to fence a square area of his yard for his dogs. if he wants the area of the square to be 121 square feet, what does the perimeter of the square need to be?

please i'm about to fail

Answers

Answer: the perimeter of the square is 44

Answer:

44 ft

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Here A = 121, thus

s² = 121 ( take the square root of both sides )

s = [tex]\sqrt{121}[/tex] = 11

Perimeter = 4 × 11 = 44 ft

Alfred and his 4 friends bought 13 1/4
pounds of gummy bears at 1.20 a pound. What is the total cost of the gummy bear?

Answers

Answer:

$15.90

Step-by-step explanation:

$1.20 x .25 is the cost of 1/4 pound = $ 0.30

13 lbs × 1.20 = $15.60

15.6 + .3=15.9

round to the nearest whole number 2.09​

Answers

Answer:

the answer is 2

Step-by-step explanation:

this is because when you round 2.09 to the nearest whole number it is 2

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