Answer:
A
Step-by-step explanation:
Got it right on edge2020
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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Planning for his retirement, mr Lloyd opened a saving
Answer:
He's definitely on the right track on saving money for his retirement. As the years move along, he can continue to save money in his savings account.
Step-by-step explanation:
If Anita uses a total of 15 orange balloons how many green balloons should she use
Answer:
Step-by-step explanation:
So basically since she used 15 orange balloons she would have to use 10 green balloons
Assume that y varies inversely with x. If y=1/3 when x=1/2, find y when x=1/4.
Answer:
y = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = [tex]\frac{1}{3}[/tex] when x = [tex]\frac{1}{2}[/tex] , thus
[tex]\frac{1}{3}[/tex] = [tex]\frac{k}{\frac{1}{2} }[/tex] = 2k ( divide both sides by 2 )
k = [tex]\frac{1}{6}[/tex]
y = [tex]\frac{1}{6x}[/tex] ← equation of variation
When x = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{6(\frac{1}{4}) }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]
A ray that divides an angle into two angles that both have the same measure.
Answer:
Angle bisector
Step-by-step explanation:
Bisector means that the two angles have the same measure and it is an angle bisector because it is separating angles.
Don purchased software for $99.95. How much tax was
charged if the tax rate was 9.5%?
Answer:
9.49525
Step-by-step explanation:
You have the total and the percent so you are looking for the part. You can set up a proportion with 9.5 over 100 and x over 99.95. Then you multiply 9.5 times 99.95 to get 949.525 which then you divide by 100. So x is 9.49525
HELP NEEDED!!!!!!
Marley used 7 cups of water to make 4 loaves of French bread.
What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the form y =kx .
Answer:
Step-by-step explanation:
y=kx
7/4=1.75
6/4=1.5
The equation in the form y =kx will be as y = 7/4 x .
What are Proportional?Proportional the type of relationships between two variables where their ratios are equivalent.
In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.
A proportional relationship between the variables x and y is written as:;
y=k.x
For the given problem, y represents the cups of water needed for making x loaves of French bread.
We know that Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation;
7=k.4
Solving for k:
k = 7/4
The equation to model the problem;
y = 7/4 x
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A truck driver has traveled for hours (4, h) south down a highway 50 kilometers per hour (50 km/h) How far as the delivery driver traveled?
Answer:
200 kilometers
Step-by-step explanation:
since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.
An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.
what is (x+3)(x-3)(3x+2) expanded and simplified
Answer:
3x to the power of 3- 5x to the power of 2-16x+12
4a^2-2b^2+40 a=2. b=7
Answer:
-92
Step-by-step explanation:
4a^2-2b^2+40 a=2. b=7
Fill in variables
4(2)^2-2(7)^2+40 a=2. b=7
8^2 - 14^2 + 40
64 - 196 +40 = -92
100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) The slope of the line through the points (8,4) and (6.5) is 2.*
False
True
Answer:
False
Step-by-step explanation:
The slope of that line is -1/2
False
The slope of the line is actually -.05
I would have explained this further but u need it fast so..
Find the sum of the multiples of 9 from 1 to 300
Answer:
can you be more specific please.
Step-by-step explanation:
Factorize using middle term:
x²-11x+24
Answer:
x²-11x+24
(x -8) * (x -3) =0
x = 8 and x =3
Step-by-step explanation:
As the driver of an 18-wheeler the maximum weight allowed for your truck in one state is 80,000 pounds. How many tons is that?
Answer: 40 tons
Step-by-step explanation:
One Ton= 2,000 lbs.
80,000/2,000= 40
PLZ ANSWER QUICK:
The graph shows two lines, A and B:
A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 3, 0, and the ordered pair 0, 6. Another straight line labeled B joins the ordered pair 0, 0, and the ordered pair 5, 5.
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
0, 6) is the solution to both lines A and B.
(0, 6) is the solution to line B but not to line A.
(2, 2) is the solution to both lines A and B.
(2, 2) is the solution to line A but not to line B.
Answer: Choice D
(2,2) is the solution to line A, but not to line B
==========================================================
Explanation:
Let's find the equation of line A
First we need the slope
m = (y2-y1)/(x2-x1)
m = (6-0)/(0-3)
m = 6/(-3)
m = -2
Since the point (0,6) is on line A, we know b = 6 is the y intercept.
The equation of line A is y = -2x+6.
-----------------------------
Let's find the equation for line B
So we need the slope
m = (y2-y1)/(x2-x1)
m = (5-0)/(5-0)
m = 5/5
m = 1
The y intercept is b = 0 since the line goes through (0,0)
The equation of line B is y = 5x+0 which is the same as y = 5x.
------------------------------
Our system of equations is
[tex]\begin{cases}y = -2x+6\\y = 5x\end{cases}[/tex]
We can see that plugging x = 0 into line A's equation leads to y = 6. So (0,6) is on line A. However, the point (0,6) is not on line B because plugging x = 0 leads to y = 0.
This allows us to rule out choices A and B.
--------------------------------
Let's see what happens when we plug in x = 2 to line A
y = -2x+6
y = -2*2+6
y = -4+6
y = 2
The point (2,2) is on line A
Now let's do the same for line B
y = 5x
y = 5*2
y = 10
The point (2,10) is on line B meaning that (2,2) is not on line B.
We can rule out choice C and conclude that choice D is the final answer.
Side note: Choice D should read "(2,2) is a solution" instead of "(2,2) is the solution" since there are infinitely many solutions on any given line. So another solution for example would be (0,6).
PLEASE HELP ME this is really hard please
Answer:
1100
2200
Step-by-step explanation:
Since speed is constant, the distance is proportional to the time. We notice that the number in the second column is 1650/3 = 550 times the number in the first column, so the two missing numbers are ...
2 × 550 = 1100
4 × 550 = 2200
3.41 - 1.74
Show your work
Answer:
1.67
Step-by-step explanation:
3.41
1.74
1.67
1. Make 1, 11 (make 4, 3)
2. Subtract 11 and 4, you get 7
3. Make 3, 13 (make 3,2)
4. Subtract 13 and 7, you get 6
5. Subtract 2 and 1, you get 1
6. You answer is 1.67
Lincoln Cook has a check for $295.50 and a check for $6.25. He also has a $10.00 bill
He would like to receive $5.00 in cash and deposit the rest of the money in his say-
ings account. What is the total deposit?
Step-by-step explanation:
First, we need to add all the checks and money he has.
295.50
10.00
6.25
+________
3 6 1 . 7 5
Total- $361.75
Now, we have to subtract 5 from this.
361.75
5.00
-______
3 5 6 . 7 5
The total deposit is $356.75
Answer:
$306.75 is the right answer i just took the test.
Step-by-step explanation:
What’s the answer please help
Answer:
The correct answer is a.
Whats the answer I need help
Answer:
the answer is A you match the shape up with the ABC one
Step-by-step explanation:
PLEASE HELP ASAP 20 points possible
Answer: 123
Step-by-step explanation:
60+63=123
180-123=57
180-57=123
Answer:
123°
Step-by-step explanation:
Subtract the measures of the given interior angles from 180 to find the measure of the missing interior angle
180 - 60 - 63 = 57°
Subtract 57 from 180 to find the measure of the external angle/angle 1.
180 - 57 = 123°
1. To the nearest ten and the nearest hundred, a store sold about 300 puzzles.
Which could be the number of puzzles the store sold? (3.NSBT.1)
A. 305
B. 279
C. 295
D. 312
Answer:
B. 279
Step-by-step explanation:
Dr. Bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution. The table shows the amount of each solution used
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
give me brainliest
How many cups of red paint should be added to 1 cup of white paint?
Answer:
3/7 or .43
Step-by-step explanation:
1 goes in to 7, 7 times so all you have to do is 3/7
You roll a six-sided dice. What is the probability of rolling a 1 or 2?
Answer:
1/3
Step-by-step explanation:
There are only six possible options and two that you want. You would get the fraction 2/6 which is equal to 1/3
Hope it helps! (:
What is the mistake??
There is still an negative you have to change the subtraction sign to an addition sign ALONG with the negative number
Answer:
The mistake was converting the expresssion
Step-by-step explanation:
Hi :) how to do part 4?
Answer:
15(iv) 68 units²
Step-by-step explanation:
Please see the attached picture for full solution. (Pictures 1 &2)
*I also did Q15 part (iii) by accident so I have also attached its working above if you need it. (Picture 3 and onwards)
find cube root of 175616 ??
i will mark u as brainlist if u would give a correct answer with Explanation
Answer:
56
Step-by-step explanation:
Cube root of 175616 by prime factorization method is 56
Solution:
To find cube root of 175616 by prime factorization method
A number that must be multiplied by itself three times to equal a given number is called cube root
Prime factorization method:
Prime factorization is a number written as the product of all its prime factors.
In order of finding cube root by prime factorization we use the following steps:
Step I : Obtain the given number
Step II : Resolve it into prime factors.
Step III : Group the factors in 3 in such a way that each number of the group is same
Step IV : Take one factor from each group
Step V : Find the product of the factors obtained in step IV. This product is the required cube root
Prime factorization of 175616:
\text{ prime factors of 175616 } = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7 prime factors of 175616 =2×2×2×2×2×2×2×2×2×7×7×7
Thus we get,
\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7}
3
175616
=
3
2×2×2×2×2×2×2×2×2×7×7×7
Make the groups of 3 of equal numbers
\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{2 \times 2 \times 2 \times } \times \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{7 \times 7 \times 7}
3
175616
=
3
2×2×2
×
3
2×2×2×
×
3
2×2×2
×
3
7×7×7
So there are 4 equal groups. So from that group take one factor out
\sqrt[3]{175616} = 2 \times 2 \times 2 \times 7 = 56
3
175616
=2×2×2×7=56
Thus Cube root of 175616 by prime factorization method is 56
please mark me as a brainlist
can someone please help me asapp, I’ll mark brainlist!!!
Answer:
Step-by-step explanation:
They tell you that x is the number of shirts, then say that the number of shirts is equal to 5. So just plug it in
y = 2.5*5
y = 12.50$
Answer:
C (12.50)
Step-by-step explanation:
2.50 x 5 = 12.5
could anyone tell me the answer to this quickly???
Yeah if someone could help me with this that would be nice ✨✨
Answer:
I think that it is 6 but i am uncertain.
Step-by-step explanation:
I AM UNSURE THOUGH
