The interval where the systolic pressure will be lowest is from 12 PM to 2 PM.
What are the domain and ranges of a function ?
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
A function S(t) is defined for systolic pressure.
S(t) = { 140 - 6t , for 0 ≤ t ≤ 4 }
S(t) = { 116 , for 4 < t < 8 }
S(t) = {96 + 8t , for 8 ≤ t ≤ 12 }
Let's find the values of systolic pressure [tex]S(t)_{min}[/tex] for each cases.
When , 0 ≤ t ≤ 4
[tex]S(t)_{min}[/tex] = 140 - ( 6 × 4 )
[tex]S(t)_{min}[/tex] = 140 - 24
[tex]S(t)_{min}[/tex] = 116
When , 4 < t < 8
[tex]S(t)_{min}[/tex] = 116
When , 8 ≤ t ≤ 12
[tex]S(t)_{min}[/tex] = 96 + ( 8 × 8)
[tex]S(t)_{min}[/tex] = 96 + 64
[tex]S(t)_{min}[/tex] = 160
So , the lowest value of S(t) will be 116 for for 4 < t < 8 and interval will be from 12 PM to 2 PM.
Therefore , the interval where the systolic pressure will be lowest is from 12 PM to 2 PM.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answer:
c
Step-by-step explanation:
This was a question asked by someone else roughly a week ago, here's the answer to that question. It's the same as this question. I hope this helps.
If m∠ABD=84°, what are m∠ABC and m∠DBC? D A B C (5x+1)° (6x-5)°
The measures of angle ABC and DBC are 41 degrees and 43 degrees
How to find the measures of the angle ABC and DBC?The angles are given as
Angle ABC = (5x + 1) degrees
Angle DBC = (6x - 5) degrees
Angle ABD = 84 degrees
The angles add up to 84 degrees
So, we have:
ABC + DBC = 84
This gives
5x + 1 + 6x - 5 = 84
Evaluate the like terms
11x = 88
Divide both sides by 11
x = 8
Substitute x = 8 in Angle ABC = (5x + 1) degrees and Angle DBC = (6x - 5) degrees
Angle ABC = (5 x 8 + 1) degrees
Angle DBC = (6 x 8 - 5) degrees
Evaluate
Angle ABC = 41 degrees
Angle DBC = 43 degrees
Hence, the measures of angle ABC and DBC are 41 degrees and 43 degrees
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an equation in slope-intercept form for the line described. slope -13/5, passes through(5,-7)
Answer:
shebolixashebshe is she she is she she he she and he are in love go to xvideos.com to see them rápīng each other
Step-by-step explanation:
426;/7/(/&/)m
What is 20 as a mixed number?
Answer:
c: 3 ⅓
Step-by-step explanation:
C has been simplified. If we converted the fraction ⅓ to 2/6 the answer would equal 20.
This is because we can do (whole number × denominator) 3 × 6 = 18 and then 18 + 2 (numerator) = 20
Answer:
Step-by-step explanation:
3.5+2=2x-10help me HELP ME JIGGABOOS
ST=15, SR=6, RT = ?
help
The numerical length of RT is 9 units
How to determine the length of RT?The given parameters are
ST = 15
SR = 6
RT = ??
Assume that the point R is on the line ST, then we have the following equation
ST = SR + RT
This gives
6 + RT = 15
Subtract 6 from both sides of the equation
RT = 9
Hence, the numerical length of RT is 9 units
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show work needed please.
First do 7/100 to convert the percent to a decimal, you will get 0.07, now to get 7% of $5136 multiply .07 and 5136 to get 359.52. So she had to pay $359.52 in GST
20. Abiona dives from a platform that is 5 meters above water. Her dive takes
her 2.1 meters below the surface of the water. Which expression could
represent the distance, in meters, that Abiona dives? Select all that apply.
015-(-2.1)|
O 1-(2.1)-(-5)|
0 12.1-51
01-(2.1) - 51
O 15+(-2.1)|
17 Odd and Subtract Rational Numbers
The expression that could represent the distance, in meters, that Abiona dives will be:
5 - (-2.1)
5 + 2.1
How to calculate the expression?From the information, Abiona dives from a platform that is 5 meters above water. Her dive takes her 2.1 meters below the surface of the water.
The appropriate expression will be:
= 5.1 - (-2.1)
= 5.1 + 2.1
= 7.2
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Please just give the answer no calculations .
Is -2.5 greater than or less than 2.1?
Answer: less
Step-by-step explanation:
Answer: The answer is less than
because negative are always less than positives
Step-by-step explanation:
I hope this helps
anbody know what this x means
Answer: x would be 6
Step-by-step explanation: x is a variable, its being used as multiplication here and u need to find the number x is representing
with 2x = 12
divide both sides by 2
2x divided by 2, 12 divided by 2
ur left with
x = 6
which expression is equivalent to startfraction startroot 2 endroot over rootindex 3 startroot 2 endroot endfraction?one-fourthrootindex 6 startroot 2 endrootstartroot 2 endrootstartfraction startroot 2 endroot over 2 endfraction
One-fourth root index 6 start root 2 - this expression is equivalent to start fraction start root 2 end root over root index 3 start root 2 end root end fraction.
What is equivalent?A comparable is how much a substance that responds with an erratic measure of one more substance in a given synthetic response. Comparable weight can be characterized as the mass of one likeness a given substance that will consolidate with or uproot a decent amount of the other substance. Identical loads not entirely set in stone by try, however (to the extent that they are as yet utilized) are currently gotten from molar masses. Identical load in science is the most widely recognized term utilized and one of the fundamental ideas of science in the actual science part. The significance of 'identical' by and large alludes to two numbers, articulations, or amounts with a similar worth. There are numerous ways of communicating a comparable amount - it tends to be indicated either by a bar or an identical image.
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Plot the number -5/2 on the number line below by dragging the given point.
Plot it halfway between -2 and -3
solve w^4 - 18w^2 + 81 =0
Answer:
W4 - 18w2 + 81 =0 this is the answer
what is 5/8 exressed as a decimal
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
4
8
80
200
Answer:
x = 200
Step-by-step explanation:
substitute y = 15 into the equation
[tex]\frac{1}{5}[/tex] x - ([tex]\frac{2}{3}[/tex] × 15) = 30
[tex]\frac{1}{5}[/tex] x - (2 × 5) = 30
[tex]\frac{1}{5}[/tex] x - 10 = 30 ( add 10 to both sides )
[tex]\frac{1}{5}[/tex] x = 40 ( multiply both sides by 5 to clear the fraction )
x = 5 × 40 = 200
Kiara has​ $520 in her bank account. each week she deposits​ $80 and withdraws​ $35. gael has​ $310 in his account. each week he deposits​ $95 and withdraws​ $20. write and solve an equation to determine the week w when gael and kiara have the same amount of money in their accounts.
Answer:
fuimaa
Step-by-step explanation:
8.2 - 4.3 i really need help-
Answer:
3.9
Step-by-step explanation:
8.2-4.3=3.9
3.9+4.3=8.2
find the area if the shaded figure below
Answer:
21 units²
Step-by-step explanation:
add all the squares up
a company's charge for electricity is ¢6.434 per kilowatt-hour. in addition, each monthly bill contains a customer charge of $7.81. if last year's bills ranged from a low of $51.74 to a high of $192.28, over what range did usage vary (in kilowatt-hours)? course hero
The range in which the usage vary is from 682.77 kilowatt-hours to 2867.11 kilowatt-hours.
Given the charge of electricity charge is 6.434 cents per kilowatt-hour.
Fixed customer charge = $7.81
Bill range = $51.74 to $192.28
Since every value is in $ , we will first convert cents to dollar
per kilowatt-hour charge will be $6.434/100 ( as $1 = 100 cents )
per kilowatt-hour charge = $ 0.06434 …(1)
Lets us first find the lower range of usage
Last year's lowest bill was $51.74 (including the customer charge)
So last year lowest bill = $51.74-$7.81 = $43.93 …(2)
We know that (per KWh charge)x(no. of KWh used)=Total bill. …(3)
Substituting the values from (1) & (2) we get
(0.06434)x(no. of KWh used)=$43.93
no. of KWh used=[tex]\frac{43.93}{0.06434} = 682.77 KWh[/tex]
Similarly we will solve for maximum KWh used
Lets us find the maximum range of usage
Last year's highest bill was $192.28 (including the customer charge)
So last year highest bill = $192.28-$7.81 = $184.47 …(4)
Substituting the value of (1) & (4) in (3) we get
(0.06434)x(no. of KWh used)=$184.47
no. of KWh used=[tex]\frac{184.47}{0.06434} =2867.11 KWh[/tex]
Therefore , the The range in which the usage vary is from 682.77 kilowatt-hours to 2867.11 kilowatt-hours.
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PLS HELP
NOW IF POSSIBLE
Answer:
i think it is 4
Step-by-step explanation:
Root 40 to the nearest 10
Root 40 to the nearest 10 is 6.3
The root of a number in math is a number that when multiplied by itself produces the original number. For example, the square root of 49 is 7 because 7×7=49.
Rounding off to the nearest 10 means that we wish to round off the last two digits of a number, that is up to the tens place of a number.
We have been given that 40 is the number whose root we have to round off so here are step-by-step instructions for how to get the square root of 40 to the nearest tenth:
Step 1: Calculate. We calculate the square root of 40 to be: √40 = 6.32455532033676.
Step 2: Reduce. 6.32.
Step 3: Round. Round 6.32 so you only have one digit after the decimal point to get the answer: 6.3.
So therefore the nearest 10 of root 40 is 6.3
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Mason is going to an amusement park. The prize of the admission into the park is $30, and once he is inside the park, he will have to pay $2 for every ride he rides on. How much money would mason have to pay in total if he goes on 9 rides? How much would he have to pay if he goes on r rides
Answer: $48 for 9 rides
$(30+2r) for r rides
Step-by-step explanation:
r=rides. t=total money spent
t=30+2r
t=30+2(9)
t=30+18
t=$48 for 9 rides
t=$(30+2r) for r rides
Mason has to pay $48 as total if he goes on 9 rides and he would have to pay a total of $30 + $2r if goes on r rides.
If Mason goes on 9 rides, we can calculate his total cost using the given information.
Admission cost: $30
Cost per ride: $2
Number of rides: 9
Total cost = Admission cost + (Number of rides × Cost per ride)
Total cost = $30 + (9 × $2)
Total cost = $30 + $18
Total cost = $48
Now, let's calculate how much he would have to pay if he goes on "r" rides.
Total cost = Admission cost + (Number of rides × Cost per ride)
Total cost = $30 + (r × $2)
Total cost = $30 + $2r
So, if Mason goes on 9 rides, he would have to pay a total of $48 and if Mason goes on "r" rides, he would have to pay a total of $30 + $2r.
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Amir has a collection of 936 trading cards. He wants to put them
in boxes with 25 trading cards in each box. How many boxes will
Amir fill? How many trading cards will be left over?
Answer:
He will fill 37 boxes and 11 cards will be left over
Step-by-step explanation:
researchers are concerned that the weight of the average american school child is increasing implying, among other things, that children's clothing should be manufactured and marketed in larger sizes. if x is the weight of school children sampled in a nationwide study without rounding, what is x an example of?
X in an example of stochastic variable.
What is meant by stochastic variables?
Typically, a random (or stochastic) variable is defined as a variable that can assume more than one value due to chance.
The correct answers are: (a) stochastic variable: By stochastic variable we mean a variable (here X: the weight of students) whose values are subject to variation due to chance.
Here since X is the weight of the children sampled, hence X will vary along with change in the sampling units which gets selected by chance.
Hence X for a sample A and X value for a different sample B will be different. So the values of X vary due to chance ( chance takes part in the selecton of the sample). So X is a stochastic variable.
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The complete question is -
Researchers are concerned that the weight of the average American school child is increasing implying, among other things, that children's clothing should be manufactured and marketed in larger sizes. If X is the weight of school children sampled in a nationwide study, then X is an example of a stochastic variable. a parameter. a categorical variable. a continuous variable.
The inequality -15<-6 is given. Perform the given operation, then write a true
inequality to match the result.
Multiply both sides of the inequality by
-1/2
The result of the operation is 30 > 3 and the result is true
How to perform the operation on the inequality expression?The inequality expression is given as:
-15 < -6
The operation on the inequality expression is given as:
Multiply both sides of the inequality by -1/2
So, we start by multiplying both sides of the above inequality by -1/2
This is represented as
-15 * -1/2 < -6 * -1/2
Evaluate the products
So, we have
30 > 3
The above inequality is true because 30 is greater than 3
Hence, the result of the operation is 30 > 3 and the result is true
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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 6 people took the trip. She was able to purchase
coach tickets for $270 and first class tickets for $1250. She used her total budget for airfare for the trip, which was $3580. How many first class tickets did she buy? How many coach
tickets did she buy?
number of first class tickets bought =
number of coach tickets bought =
x= number of coach tickets bought
Y= number of first class tickets bought
The total number of tickets bought is 6 and the number of coach tickets bought is 4 while the number of first class tickets bought is 2
How to solve algebra word problems?We are told that a total of 6 people took the trip. If x is the coach tickets and y is the first class tickets and she bought tickets for 6 of them, then we can say that;
x + y = 6 ------(1)
Now, coach tickets cost $270 and first class tickets costs $1250. She used her total budget for airfare for the trip, which was $3580. Thus;
270x + 1250y = 3580 ----(2)
Solving both equations simultaneously gives;
x = 4 and y = 2
Thus, we conclude that the number of coach tickets bought is 4 while the number of first class tickets bought is 2.
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what 3+3 divided by 3 *6
Answer:
9
Step-by-step explanation:
A town has accumulated 4 inches of snow and the snow depth is increasing by 3 inches every hour . a nearby town has accumulated 1 inch and the depth is increasing by 5 inches every hour. how many hours will the snowfall of the towns be equal if the snow continues at the given rates?
answer as an equation and solve, please help!!
The equation which represents the given situation as described about snow depths in the task content is; 4 + 3x = 1 + 5x and the solution is; x = 1 and a half hours.
At what time will the snow fall of the towns in discuss have the same snow depth according to the given rates?It follows from the task content that the time at which the snowfall in the towns in discuss will be equal be determined.
According to.the word phrases given;
A town has accumulated 4 inches of snow and the snow depth is increasing by 3 inches every hour. Hence, we have;
4 + 3x.
Also, a nearby town has accumulated 1 inch and the depth is increasing by 5 inches every hour. Hence ,we have;
1 + 5x
Consequently, when the snowfalls are equal, we have;
4 + 3x = 1 + 5x
3 = 2x
x = 3/2.
x = 1 and a half hours.
Ultimately, the equation which represents the given situation as described about snow depths in the task content is; 4 + 3x = 1 + 5x and the solution is; x = 1 and a half hours.
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A cyclist completes a journey of 500 m in 22 seconds in two parts. The first part with the speed of 10m/s and remainder of it in 50m/s, how far did she travel in each speed
Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:
10 = d/t
d = 10t.
For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:
50 = (500 - d)/(22 - t).
Since d = 10t, and applying cross multiplication:
500 - 10t = 50(22 - t)
500 - 10t = 1100 - 50t
40t = 600
t = 600/40
t = 15.
22 - t = 22 - 15 = 7, hence:
She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.
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