Answer:
129.8 mmHg
42 years
Step-by-step explanation:
Given the relation :
P = 0.006 y² − 0.02 y + 121
Systolic blood pressure, P
Age, y
A.)
Find P when age y = 40
P = 0.006(40)² − 0.02(40) + 121
P = 9.6 - 0.8 + 121
P = 129.8 mmHg
B)
P = 130.74 mmHg
y =?
130.74 = 0.006y² − 0.02y + 121
130.74 - 121 = 0.006y² − 0.02y
9.74 = 0.006y² − 0.02y
0.006y² − 0.02y - 9.74 = 0
Using a quadratic equation solver :
The roots are 41.99 and - 38.66
Age cannot be negative ;
Hence age = 41.99 = 42 years
Bob makes 4% commission on his sales as a real estate agent. If Bob sells a house for $249,000, how much money does he make on the sale?
Answer:
$9,960
Step-by-step explanation:
249000 x 0.4 = 9960
Can someone help me? I'll reward points + brainalist
Farmer Brown is tilling her field. Farmer Brown tills 2/3 of an acre in 2/7 of an hour. What is Farmer Brown's unit rate of tilling?
Answer:
2 1/3 acres per hour
Step-by-step explanation:
If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.
Simplify to a single power of 2: 2^4/ 2^3
Step-by-step explanation:
This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Answer:
2^1
Destiny bought a carton of orange juice. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Destiny drink?
A. 6/12 Carton
B. 9/12 Carton
C. 6/15 Carton
D. 1 Carton
Answer:
B
9/12 carton
Step-by-step explanation:
Get both fractions to have the same denominator.
So make 3 into 12 by multiplying numerator and denominator by 4.
1×4/ 3×4 = 4/12
Now you can add the fractions.
5/12 + 4/12
= 9/12 Carton
Hi food morning
What is 10 x 100
Answer:
1000
Step-by-step explanation:
Answer:
1,000
Step-by-step explanation:
pls give brainliest
SOMEONE PLEASE ME RN I BEG YOU
Given:
The piece-wise function is:
[tex]F(x)=\begin{cases}4&\text{ if }0\leq x<2\\3&\text{ if }2\leq x<4\\2&\text{ if }4\leq x<6\end{cases}[/tex]
To find:
The domain of the given function.
Solution:
Domain of the a function is the set of those values for which the function is defined. In other words, the set of input values is called domain.
The given function is defined for the intervals [tex]0\leq x<2,2\leq x<4,4\leq <6[/tex]. So, the domain of the given function is
[tex]Domain=\{x|0\leq x<2,2\leq x<4,4\leq <6\}[/tex]
Therefore, the correct option is B.
please help im literally crying i cant fail this please
Say me how to on chulla
PLEASE HELP ACELLLUS
9514 1404 393
Answer:
(-2)
Step-by-step explanation:
Put the point values in the given equation to see what the missing number is.
y = 1/2x + (_)
2 = 1/2(8) + (_) . . . . . substitute the given values
2 = 4 + (_) . . . . . . . . simplify
-2 = (_) . . . . . . . . . . . subtract 4
The green ? should be filled with -2.
Any help would definitely be appreciated. Thank you
Answer:
your answer will be 113.3 yard
Step-by-step explanation:
hope it helps you
have a good day
-2n = -6
thanks for helping
☁️ Answer ☁️
n = 3
Hope it helps.
Have a nice day noona/hyung ￣▽￣
Answer:
n=3
Step-by-step explanation:
-2n=-6
-2n/-2= -6/-2
n=-3
Jill wants to solve the following system using the elimination method:
Y = X + 8
y = 3x - 11
What number should the equation = x + 8 be multiplied by to eliminate x?
3
Answer:
3
Step-by-step explanation:
y= x + 8..... (1)
y= 3x - 11..... (2)
y - x = 8..... (3)
y - 3x = -11..... (4)
eliminating x:
(3) × 3: 3y - 3x = 24 ........ (5)
(4) × 1: y - 3x = -11 ......... (6)
(5) - (6): 2y = 35
Divide both sides by 2, therefore, y = 17.5
substitute the value of y into (3)
y - x = 8
17.5 - x = 8
17.5 - 8 = x
9.5 = x
I hope it'll help
Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (-2, 3), H (4, 4), J (2, -1), and
K(-4, - 2).
Answer:
The point of intersection of both diagonals is (0,1)
Step-by-step explanation:
for the parallelogram, we have the diagonals GJ and HK
Firstly, we need to get the equation of the lines that join these two points
For GJ
the general equation is;
y = mx + b
m is slope and b is y-intercept
We have the points
(-2,3) and (2,-1)
The slope m is as follows;
m = (y2-y1)/(x2-x1)
m = (-1-3)/(2-(-2) = -4/4 = -1
So we have;
y = -x + b
To get b, we substitute any of the two points
Let us use (-2,3)
x = -2 and y = 3
so we have;
3 = -1(-2) + b
3 = 2 + b
b = 3-2 = 1
so we have the equator GJ as y = -x + 1
We repeat same for HK
(4,4) and (-4,-2)
m = (-2-4)/(-4-4) = -6/-8 = 3/4
so we have;
y = 3x/4 + b
use (4,4) to get b
4 = 3/4(4) + b
4 = 3 + b
b = 1
so we have the equate;
y = 3x/4 + 1
multiply through by 4
4y = 3x + 4
To get the point of intersection, we have to solve the equations of the diagonals simultaneously
the equations are;
4y = 3x + 4
y = -x + 1
Multiply equation ii by 4 and i by 1
4y = 3x + 4
4y = -4x + 4
Subtract ii from i
0 = 7x
x = 0
To get y, use any of the equations;
y = -x + 1
y = 0 + 1
y = 1
So the point of intersection of both diagonals are;
(0,1)
a lot is 50 m by 33 m. A house 24 m by 9 m is built on the lot. How much area is left over?
[tex]\sqrt 96[/tex][tex]\sqrt{96} simplest form\\[/tex]
Answer:
If it is [tex]\sqrt{96} \sqrt{96}[/tex] then it is the solution [tex]\sqrt{96} \sqrt{96} = 96[/tex] because the square root of an expression multiplied by itself gives that expression.
Pls help I’m failing
Answer:
a.
the area of each parallelogram
a. 66
b. 49
c. 25
d. 32
e. 18
Step-by-step explanation:
a parallelogram is similar to a rectangle when you are finding the ares, you use the base and the height to find the area. If it helps, like the text suggested, just change them to look like a rectangle and then find the area.
Solve for the length of a leg
I will give brainless
The numbers are
A-24
C- 25
Answer:
7
Step-by-step explanation:
To solve for B, you have to use the Pythagorean Theorem and work it to solve for B. If b^2+24^2 is equal to 25^2, you can take those numbers (for 24^2, it's 576, and 25^2 is 625) and subtract them for the squared number that B will be equal to, 49. You then take the square root of 49 and that answer will be your side B, 7.
Write an equation of the line that passes through the point (-4, -4) and is parallel to 2y - x = -6.
Answer: y=1/2x-2
Step-by-step explanation:
y=mx+b
2y-x=-6
2y=x-6
y=1/2x-3
y-y1=m(x-x1)
y+4=1/2(x+4)
y+4=1/2x+2
y=1/2x-2
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Answer:
d) tan A = 12 / 5
Step-by-step explanation:
tan is equal to the length of the opposite side divided by the length of the adjacent side.
In this case then, the tan of A is equal to 36 / 15, or 12 / 5
Help need to know the cross section shape
Answer:
Step-by-step explanation:
Rectangle
If two angles are supplementary, the sum of their measures is equal to the measure of a straight angle true or false?
Answer:
True.
Step-by-step explanation:
The sum = 180 degrees.
If point B has coordinates (-8, 1), what are the coordinates of the point when it is reflected across the y-axis?
Answer:
(8,1)
Step-by-step explanation:
When flipping across the y axis, the y coordinate stays the same, while the x coordinate changes it's sign.
(x,y) - > (-x,y)
(-x,y) -> (x,y)
What transformation is shown below? (Look carefully at the vertices.)
rotation
translation
reflection
can't be determined
A scale model of the Washington Monument is 15 inches tall and the base is 1.5
inches wide. If the actual monument is approximately 555 feet tall, which is
closest to the width, in feet, of the base?
50
55
835
0 370
Answer:
~55 ft
Step-by-step explanation:
15/1.5 = 555(12)=12x
180x = 9990
x = 55.5
What is the solution to the following system of equations?
3x + 2y = 30
y = x + 5
Answer:
D
Step-by-step explanation:
Answer:
I think this one is C
Step-by-step explanation:
It seems like its counting by 5's and the answer to the first equation
PLEASE HELP who knows the answer to this?
Answer:
a.
Step-by-step explanation:
The digits 2, 4, and 6 can be arranged to form six different three-
digit numbers. List the six numbers in order from least to
greatest.
Answer:
246
264
426
462
624
642
Step-by-step explanation:
Find the area of the shape shown below.
Answer: 10
Step-by-step explanation:
To work out the area of this shape you have to split this into 1 square and 2 triangles.
The formula of the area of the triangle is base x height divided by 2
The first triangle on the left would be 2x2/2=2
The area of second triangle on the left is 4x2/2=4
The formula for the square is base x height.
Then to work out the area of the square you do 2x2=4
So, to work out the area of the whole shape you add all of the areas together.
2+4+4=10
he temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 925 and a standard deviation of 60 degrees. If bricks are fired at a temperature above 1150, they will crack and must be disposed of. If the bricks are placed randomly throughout the kiln, the proportion of bricks that crack during the firing process is closest to
Answer:
The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 925 and a standard deviation of 60 degrees.
This means that [tex]\mu = 925, \sigma = 60[/tex]
The proportion of bricks that crack during the firing process is closest to
This is 1 subtracted by the pvalue of Z when X = 1150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1150 - 925}{60}[/tex]
[tex]Z = 3.75[/tex]
[tex]Z = 3.75[/tex] has a pvalue of 0.9999
1 - 0.9999 = 0.0001
The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.