The systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6 mm Hg
How to solve problems using quadratic equations?We are given the equation that gives a person's blood pressure, p at the age y year is;
p = 0.007y² - 0.003y + 122
To find the systolic pressure for a person of age 41 years, just plug in y = 41 into the given quadratic equation to get;
p(41) = 0.007(41)² - 0.003(41) + 122
p(41) = 11.767 - 0.123 + 122
p(41) = 133.6
Thus, the systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6
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There are 100 marbles in a bag. 16 are green, 32 are blue, 17 are red, 29 are yellow, and 6 are orange. True or False: 68% of the
marbles are blue
Answer:
False
Step-by-step explanation:
32 marbles are blue
32/100 = 32%, not 68%
the function f multiplies it’s input by 2 and then subtracts 17 to produce its output. What is the symbolic representation of this operation
Answer:
f(x)= 2x-17
Step-by-step explanation:
Let, input be x,
Multiplying input by 2: 2x
then subtracting it by 17: 2x-17
Therefore, Symbolic representation required is : f(x)= 2x-17
The symbolic representation of the function defined is f(x) = 2x-17
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, the function f multiplies it’s input by 2 and then subtracts 17 to produce its output. we need to express the operation into symbolic representation.
Let the input be x, then the output will be the value of f(x).
Therefore, it is given, the input is multiplied by 2, that mean,
f(x) = 2x
Then 17 is subtracted from it, that will give,
f(x) = 2x-17
Hence, the symbolic representation of the given operation is f(x) = 2x-17
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What are the approximate x-intercepts for y=(x+4)^2 -7
Answer:
44
Step-by-step explanation:
because if u pit it together 44 is what u get
A student's essay is 3 pages long. Page 1 contains M words. Page 2 contains 43 fewer words than page 1. Page 3 contains one-third as many
words as page 1.
Which expression represents the number of words on all three pages?
OM+(M-43) - M
O 3M+ (M-43) + M
O 3M+ (M+43) + M
OM+ (M-43) + M
OM-(M +43) + M
3m+(m-43)+m
3m=page 3
m-43=page 2
m=page 1
if √64 = a , then a is equal to ____.
32
16
8
irrational
Answer:
8
Step-by-step explanation:
The
[tex] \sqrt{64} [/tex]
is 8. Because when you divide 64 by 8 you get 8 which makes it a perfect square.
Complete the table. File is attached
6. Explain why (4, 1) is not a solution to the equation y=3x + 1.
Answer:
x is 4 and y is 1
So we put 3 x 4 + 1
if it's equal 1 (since y is 1)
but in this case it equals 13 so it's wrong
Answer:
see explanation
Step-by-step explanation:
to determine if (4, 1 ) is a solution of the equation, substitute the x and y coordinates into the equation and if both sides are equal then it is a solution.
y = 3(4) + 1 = 12 + 1 = 13 ≠ 1
since y ≠ 13 then (4, 1 ) is not a solution to the equation
maths geometry questions
pleas help
Step-by-step explanation:
remember, a parallelogram is a quadrilateral with 2 pairs of parallel and equal sides, and 2 pairs of correspondingly equal angles. and its diagonals are intersecting each other in their midpoint.
with that in mind
(i)
because ABCD is a parallelogram, AD = BC, and AB = CD.
and angle A = angle C (and angle B = angle D).
therefore, as AE = FC, this also means that ED = BF.
via SAS (side angle side) it is clear that the triangles ABE and CDF are congruent.
therefore, EB = DF.
as ED is part of AD, and BF is part of BC, it is also clear that ED || BF.
together with ED = BF this means that EB || DF.
so, we have with BEDF 2 pairs of parallel and equal sides. and that is a parallelogram.
(j)
BCDE and ABCG are parallelograms.
so, BC = DE = AG, CD = BE, AB = CG.
due to the midpoint intersection rule of the diagonals of parallelograms, we also know
GE = CG = AB, DG = BG.
and as CG || AB, then also GE || AB.
together with AB = GE that means that AE = BG and AE || BG.
so, we have with ABGE again 2 pairs of parallel and equal sides. and that is a parallelogram.
Algebra 1 > J.7 Solve linear equations: complete the solution EVP
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
11d4 14 = -7
11d 18 = -7
Submit
11d =
d =
Subtract 4 from both sides
Add 4 to both sides
Subtract 4 from both sides
Work it
A tringle is shown.
The triangle is translated 8 units to the left, then reflected over the x-axis.
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.
NO LINKS, WILL GIVE BRAINLIEST, please help me find the slope!!
Answer:
Step-by-step explanation:
30
Complete the table with the number of sit-ups you need to do on Sunday so that the mean number of sit-ups per day is 80.
Monday: 100
Tuesday: 80
Wednesday: 60
Thursday: 70
Friday: 90
Saturday: 100
Sunday: X
If correct you get brainliest!
3. The mean of four numbers is 30. If three of the numbers are 12, 50, and 48, what is the fourth
number?
O 120
O 10
012
030
Answer:
12 10 12 30
Step-by-step explanation:
eso se devide y es 1.030
The sum of the four numbers divided by 4 is equal to the mean.
the sum/4 = mean
(12 + 50 + 48 + n)/4 = 30
(110 + n)/4 = 30
(110 + n) = 30 × 4
(110 + n) = 120
n = 120 - 110
n = 10
A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to spend a mean of $50 a month towards music. How much can he spend in December, taking into consideration that in the other 4 months he spent $30, $80, $45, and $35, respectively?
The amount he can spend in December given that he spent $30, $80, $45, and $35, respectively in the other 4 months is; x = $60.
How much can he spend in December given his spending in the last four months?It follows from the task content the intention is to spend a mean of $50 a month towards music.
On this note, it follows that the since the mean is given by the ratio of the sum of all data values and the number of data values, it follows that;
Mean = 50 = (30+80+45+35 + x)/5
where x = spending in December.
multiply both sides by 5;
(30+80+45+35 + x) = 250
x = 250 -30 -80-45-35
x = $60.
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decreasing order 67,567
Answer:
n2jnsjsns. sisjnenws jsjsjjejsnsbss
A science class has a total of 47 students. The number of males is 11 more than the number of females. How many males and how many females are in the
class?
Number of males:
Number of females:
Answer:
number of males: 29
Number of females: 18
Step-by-step explanation:
X=number of females
X+11=number of males
X+X+11=47
2X+11=47
2X=47-11
2X=36
X=36/2
X=18
So number of females = 18
X+11=18+11=29
So number of males = 29
Dede is x years old now. a.How old we was she 7 years ago?
Answer:
x-7
Step-by-step explanation:
Whatever her current age is, she was 7 years younger 7 years ago. Because her current age is undefined, it must remain an equation.
The student council is selling popsicles to raise money for prom. Each box contains 10
popsicles and each box costs $4.50. How much does the school need to charge per
popsicle to make a profit of $6 per box?
Answer:
1.05 dollars per popsicle
Step-by-step explanation:
x is the price per popsicle. In order for you to make 6 dollars of profit, each box is going to cost 10.50 dollars because 4.50 is your amount of expenses.
Profie= revenue-expenses
6= revenue-4.5
revenue=10.5
If you charge 10.5 per box, and each box has 10 popsicles, then one popsicle is 10.5/10=1.05 dollars per popsicle.
Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road oriented at an angle of 25∘ north of east. The road then turns due north for another 6.0 mi to the finish line.
In miles, what is the straight-line distance from the starting point to the end of the race?
The distance between the starting point(initial) and the ending point(last) is known as displacement is 9.46miles.
What is displacement?
Displacement is defined as the change in position of an object. It's a vector volume and has a direction and magnitude. It's represented as an arrow that points from the starting position to the final position. For illustration- If an object moves from A position to B, also the object's position changes. Distance is a scalar volume that refers to" how important ground an object has covered" during its stir. Displacement is a vector volume that refers to" how far out of place an object is" it's the object's overall change in position. Displacement is a defense medium that involves an individual transferring negative heartstrings from one person or thing to another.In the first(1st) part of the race displacement of Erica is
d1 = 5.2 miles at 25(twenty-five) deg North of East
x(ax) and y-component of 1st(first) part of the race will be:
d1 = 5.2*cos 25(twenty five) deg i + 5.2*sin 25(twenty five) deg j
d1 = (4.71 i + 2.20 j) miles (this id d1)
In the second(2nd) part of the race
d2 = 6(six) miles towards north,
So
d2 = (6 j) miles (this is d2)
Now net(accurate) displacement of Erica will be, Using Vector addition(summation):
d = d1(4.71 i + 2.20 j) + d2(6j)
d = (4.71 i + 2.20 j) +(sum) (6 j)
d = 4.71 i +(sum) 8.20 j
So Magnitude of net(accurate) displacement will be:
|d| = [tex]\sqrt{4.71^2+8.20^2}[/tex]
|d| = 9.46 miles(nine.four-six) = distance between starting(initial) point and ending point
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A total of 491 tickets were sold for the school play. They were either adult tickets or student tickets. There
were 60 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
Adult tickets = 276
Step-by-step explanation:
a + s = 491 Eq. 1
a = s + 61 Eq. 2
a = adult tickets
s = student ticket
Replacing Eq. 2 in Eq. 1:
(s+61) + s = 491
2s + 61 = 491
2s = 491 - 61
2s = 430
s = 430/2
s = 215
from the Eq. 2
a = s + 61
a = 215 + 61
a = 276
Check:
from Eq. 1:
a + s = 491
276 + 215 = 491
after raining for 3/4 of an hour a rain gauge is 2/5 filled. if it continues to rain at that rate for 15 more minutes, what fraction of the rain gauge will be filled?
Answer:8/15 part of rain gauge is filled after 1 hour.
Step-by-step explanation:
Solve |5x+1|<-2 and write the solution in interval notation.
If you meant to say [tex]|5x+1| < -2[/tex], then there are no solutions.
This is because the |5x+1| is never negative. This applies to the result of any absolute value function. Absolute value represents distance on a number line. Negative distance is not possible.
---------------------------------------------------------------
If you meant to say [tex]|5x+1| \le 2[/tex], then the steps are shown below
[tex]|5x+1| \le 2\\\\-2 \le 5x+1 \le 2\\\\-2-1 \le 5x+1-1 \le 2-1\\\\-3 \le 5x \le 1\\\\-3/5 \le 5x/5 \le 1/5\\\\-3/5 \le x \le 1/5\\\\-0.6 \le x \le 0.2\\\\[/tex]
The interval notation would be [-3/5, 1/5] in fraction form
That is equivalent to [-0.6, 0.2] in decimal form.
Use square brackets to include each endpoint.
How do I figure out x and y
Answer:
x = 7, y = 45
Step-by-step explanation:
[tex]7x+13=6x+20[/tex]
[tex]x=20-13\\x=7[/tex]
Angle
[tex]7(7)+13=49+13=62^{0}[/tex]
supplementary angle
180 - 62 = 118°
[tex]3y-17=118[/tex]
[tex]y=\frac{118+17}{3} =135/3=45[/tex]
Hope this helps
Select all the correct locations on the image.
The revenue and cost functions for a product line of running shoes are shown on the graph. Which points on the graph are considered
breakeven points?
Total (dollars)
-5,000
4,000
3,000
+2,000/
+1,000
20
C(x)
Reset
27.
40
60
80
Price per Shoe (dollars)
Next
R(x)
100
120
Answer:
1) 4,000
2) 3,000
3) 20
4) 27
5) 40
6) 60
7) 80
8) 100
9) 120
Step-by-step explanation:
Please help am in class need soon
Find the perimeter of triangle ABC. Found your answer to two decimal places.
Perimeter ABC=
The Perimeter of a triangle ΔABC is 27.68
Given ABC be triangle having vertices A(-2, -1), B(4, 3), C(-5, 7)
We need to find the perimeter of a triangle as
Perimeter of a triangle ΔABC = AB + BC +CA
Now we need to find distances as
D = √ (x₂ - x₁)² + ( y₂ - y₁ )²
AB = √ (4 - (-2))² + ( 3 - (-1) )²
= √ ( 4 + 2 )² + ( 3+1 )²
= √ (6)² + (4)²
= √ 36 + 16
= √ 52
= 7.21
BC = √ ((-5) - (4))² + ( 7 - (3) )²
= √ (-5 -4 )² + ( 7-3 )²
= √ (-9)² + (4)²
= √ 81 + 16
= √ 97
= 9.84
AC = √ ((-5) - (-2))² + ( 7 - (-1) )²
= √ (-5 -2 )² + ( 7+1)²
= √ (-7)² + (8)²
= √ 49 + 64
= √ 113
= 10.63
Perimeter of a triangle ΔABC = AB + BC +CA
= 7.21 + 9.84 + 10.63
= 27.68
Therefore, the Perimeter of the given triangle ΔABC = 27.68
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please help
maths geometry 2
Step-by-step explanation:
(e)
because BCDF is a parallelogram, it means that F D = B C = 4.
and F B = D C = 6.
because EDCF is a parallelogram, it means that D C = E F = 6.
that means that E F = F B = 6, so the diagonal E B of ABDE is intersected by the other diagonal A D in the middle at F.
because ABCF is a parallelogram, it means that A F = B C = 4.
that means that A F = F D = 4, so, also the diagonal A D of ABDE is intersected by the other diagonal E B in the middle at F.
when 2 line segments E B and A D intersect each other that way, that makes them the diagonals of a parallelogram.
therefore, ABDE is a parallelogram.
a normal window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 34 ft, express the area A of the window as a function of the width x of the window
The 34 feet perimeter and width, x, of the window which is in the shape of a rectangle surmounted by a semicircle is, A = 17•x - x²•(1/2 - π/8)
How can the area of the window be expressed as a function of x?The shape of the window = A rectangle surmounted by a semicircle
Perimeter of the window, P = 34 feet
Width of the window = x
Required; The area, A, of the window as a function of x
Solution:
Diameter of the semicircle = x
Length of the semicircular arc = π•x/2
Let y represent the height of the window, we have;
P = 2•y + x + π•x/2 = 34
Therefore;
y = (34 - (x + π•x/2))/2 = 17 - x•(1 + π/2)/2
Area of the window, A = x × y + π•x²/8
Which gives;
A = x × (17 - x•(1 + π/2)/2) + π•x²/8 = 17•x - x²/2 - x²•π/8
A = 17•x - x²/2 - x²•π/8 = 17•x - x²•(1/2 - π/8)
Therefore;
Window area, A = 17•x - x²•(1/2 - π/8)
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Priya solved the following quadratic equation by completing the square. Her work is shown.
(+ 6x-11 =0
Original equation
x?+6x=11
Step 1: Isolate the variables to one side
4x +6x+6=17
Step 2: Complete the square when b = 6
(x+3)=17
Step 3: Factor and square the trinomial
x+3=‡/17
Step 4: Take the square root of both sides of the equation
x=-3‡/17
Step 5: Inverse operations to isolate the variable
What mistake did Priya make?
A
In Step 2, Priya did not correctly complete the square.
B
In Step 5, Priya did not finish simplifying her answer.
C
In Step 3, Priya should have also squared the 17.
D
In Step 1, Priya should not have changed the sign of 11
While solving the quadratic equation, in the step 2, Priya did not correctly complete the square.
A quadratic equation is of the form of ax²+bx+c=0.
Here x is the variable. a , b and c are constants.A quadratic equation has two solutions.The graph of a quadratic equation is in the form of a parabola.A quadratic equation can be solved in various ways:Graphical solutionMiddle term factorizationcompleting the square method.The given quadratic equation is of the form:
x²-6x-11=0
Now solving it by completing the square we get:
or, x²-6x=11 (take all the variable to one side)
or, x²-6x+9=11+9 (complete the square when b=3)
or, (x-3)²=20 (factor and square the polynomial)
or, x = 3 ± √20 (use inverse operations so that the variable is isolated)
Hence Priya made a mistake while completing the square of the equation.
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What is the fractional equivalent of the repeating decimal _
0.5
Answer:
B. 5/9
Step-by-step explanation:
You can just divide 5 and 9 and you get the repeating decimal
3x+4=2x+8 solve linear equation
Answer:
3x±4=2x±8
3x-2x=8-4
x=4
Step-by-step explanation:
Hope its helpful for you