Answer:
[tex]130.2845\leq h\leq 137.7245[/tex]
Step-by-step explanation:
Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation
[tex]|h - (2.47f + 54.10)| \leq 3.72[/tex]
If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:
[tex]|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\[/tex]
If the modulus function is positive then:
[tex]h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245[/tex]
If the modulus function is negative then:
[tex]-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\[/tex]
multiply through by -1
[tex]-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h[/tex]
combining the resulting inequalities, the estimate of the possible range of heights will be [tex]130.2845\leq h\leq 137.7245[/tex]
Hi guys what is 6 divided by 2(1+2 )
Answer:
0
Step-by-step explanation:
1+2 = 3
3x2 = 6
6divdedby6= 0
A block with a mass of 10 kg is being pushed. its acceleration is 5 m/s.s . Calculate the force acting on the block ? plz answer for good luck
Answer:
The answer is 50 NStep-by-step explanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question
mass = 10 kg
acceleration = 5 m/s²
We have
force = 10 × 5
We have the final answer as
50 NHope this helps you
Which rational number equals 0 point 2 with bar over 2? (1 point)
Group of answer choices
1 over 10
2 over 10
2 over 9
1 over 9
Answer:
1 over 10
Step-by-step explanation:
I guessed
original cost 14.50 markup:14%
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
14%. 14.5 = 14% = 0.14
Write the equation of the line that passes through the given points. (0,-5) and (8,0)
Answer:
[tex]y=\frac{5}{8}x-5[/tex]
Step-by-step explanation:
You're given two points, using that you can use the slope-finding formula:
[tex]slope=\frac{(y^{2} - y^{1}) }{(x^{2} - x^{1})}[/tex]
After that, match up the y-coordinates with each other and the same goes for the x-coordinates. It should look something like this:
[tex]slope = \frac{(0-(-5))}{(8-0)} \\\\=\frac{5}{8}[/tex]
5/8 is your slope. Using the general slope formula y=mx + b, you know that m is the slope and b is the y-intercept. So now you know your slope, plug it into the formula, along with one of the given points. In this case, I will be using (8, 0) because it is easier to solve.
[tex]m = \frac{5}{8}\\ \\y = (\frac{5}{8} )x+b\\(8, 0)\\(0) = \frac{5}{8}(8) + b\\ 0 = 5 + b\\\\-5 =b\\ \\y=\frac{5}{8}x-5[/tex]
You can see I replaced the x and y with the given values accordingly. Then you simplify by subtracting the five on both sides and your y-intercept is -5. Then combine your slope and y-intercept to get your answer!
Hope that helped!
-Bob Ross
-1 + 4 (6x + 3) = 1/2 (-10x - 10) -5
Answer: x = 60/11
Step-by-step explanation:
-1 + 4 (6x + 3) = 1/2 (-10x - 10) -5
Multiply the 1/2 with -10x, and -10.
Let's look on the side that we are working on now.
New equation:
- 1 + 4 (6x + 3) = -5x - 5 - 5
-5-5= -10
-1+4(6x+3)=-10-5x
Next we remove the brackets.
-1 + 4 * 6x + 3 = -10x -5
Now we bring the x's on one side and the non-x's on the other. When we bring a positive x on the other side of an equal sign, it becomes negative. If we bring a negative x on the other side of an equal sign, it becomes positive.
10x * 6x = 1 - 4 - 3 - 5
60x = 1 - 12
60x = -11
x = 60/11
* I had to do this all on paper *
Points A and B lie on a circle with radius 1, and arc
⌢
AB
has a length of
π
3
. What fraction of the circumference of the circle is the length of arc
⌢
AB
?
Answer:
arc AB=16 circumference
Step-by-step explanation:
The circumference of a circle with radius
r=1
has a length
C1=2rπ=2π
An arc length of π 3 represents π
32π = 132 + 16 of this circumference
Which equation represents a line which is perpendicular to the line through y= 3/4 X -6
Answer:
Step-by-step explanation:
A perpendicular line has a negative reciprocal of the line it is perpendicular to.
y = [tex]\frac{3}{4}[/tex][tex]x[/tex] - 6
Since the slope of that line is [tex]\frac{3}{4}[/tex], the line perpendicular to that will have the slope of [tex]-\frac{4}{3}[/tex].
Now let's plug the slope into the slope-intercept equation.
y = mx + b
y = [tex]-\frac{4}{3}[/tex][tex]x[/tex] + b
Next, we need to find the y-intercept (b), to get to the equation.
TO FULLY SOLVE THIS, I WOULD NEED TO KNOW ONE POINT OF THE PERPENDICULAR LINE!
Please let me know if there is another point that way I can help you! <3
Part D
Compare your answers in parts B and C. Did your predictions for the coordinates of the reflected images match the actual results? Why or why
Answer/Step-by-step explanation:
Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.
PS; PLATO does not have an answer this is my personal answer since I am also on this assignment.
Sorry if this response is late! Hope you did well! :)
The coordinates of the reflected images match the actual results because of the following reason.
What is coordinate?Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).
Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .
Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.
and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.
but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.
Learn more about coordinate here:
https://brainly.com/question/15300200
#SPJ2
For each set of angle measurements, determine if they would form a triangle (Answer YES or NO for
each)
1. 120, 50, 10
2. 100, 91. 25
3. 90, 60, 30
4. 77, 54, 49
5. 177. 2,1
Answer:
1. yes
2. no
3. yes
4. yes
5. yes
Step-by-step explanation:
All triangles have 3 angle measurements that add up to 180
I did these all mentally so do double check :)
Let f(x) = 2x + 2. Evaluate for f(6)
Answer:
f
(
6
)
=
74
Explanation:
If
f
(
x
)
=
2
x
2
+
2
then
XX
f
(
6
)
=
2
⋅
6
2
+
2
XXXXX
=
2
⋅
36
+
2
XXXXX
=
74
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
plug in 6
the rest is common sense
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ!
Answer:
33.5
Step-by-step explanation:
40 % of 33.5 is 13.4
33.5/x = 40/100
13.4
Answer:
33.5
Step-by-step explanation:
Drag the words into the boxes to correctly complete the sentence.
In the problem 3.8÷0.7, the number 3.8 is the________ and the number 0.7 is the_____
The words at he bottom is
sum, difference, equivalant, divisior, dividend, remainder
Answer: In the problem 3.8÷0.7, the number 3.8 is the equivalent the number 0.7 is the divisor. Equivalent, divisor. Have a great day!
use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches
Answer:
A.380160 B. 240
Step-by-step explanation:
1 Square foot (sq ft) is equal to 144 square inches (sq in). To convert square feet to square inches, multiply the square foot value by 144.
Timothy went to a baseball game. After the game, he wanted to ride the bus home. The red and blue line buses both stop at the stadium. * A red line and a blue line bus both leave the stadium at 4:00 p.M. * Red line buses leave the stadium every 6 minutes * Blue line buses leave the stadium every 8 minutes If the game is over at 4:30 p.M., what bus will the kids take if they wanted to leave the stadium at the same time after the game was over?
Answer:
Red bus if it takes no time to reach the bus from stadium.
Blue bus if it takes some time to reach the bus from stadium.
Step-by-step explanation:
Given that:
Red bus leaves the stadium every 6 minutes starting from 4:00 PM.
So, the timings for red bus are:
4:00 PM, 4:06 PM, 4:12 PM, 4:18 PM, 4:24 PM, 4:30 PM, 4:36 PM, 4:42 PM, ......
Blue bus leaves the stadium every 8 minutes starting from 4:00 PM.
So, the timings for Blue bus are:
4:00 PM, 4:08 PM, 4:16 PM, 4:24 PM, 4:32 PM, 4:40 PM, 4:48 PM, ......
Also Given that, game is over at 4:30 PM, so near to that time Red bus leaves at 4:30 PM and then Blue bus leaves at 4:32 PM.
Therefore, the answer is:
Red bus if it takes no time to reach the bus from stadium.
Blue bus if it takes some time to reach the bus from stadium.
Kayla rented a limousine for prom. There was a one-time charge of $100, plus
an hourly rate of $45. Her total cost for the night was $347.50. How many
hours did Kayla rent the limo? please helppp
Answer:
5.5 hours
Step-by-step explanation:
347.50 - 100 = 247.50
247.50 ÷ 45 = 5.5
Answer:
5.5 hours
Step-by-step explanation:
if the one-time charge was 100 then subtract 100 from 347.50 and you would get 247.50 then divide that by 45 and you get 5.5.
(HELPPP) The graph models the proportional relationship between the cost of a salad per pound determine the unit rate of the graph
A) $2/lb
B) $4/lb
C) $1/lb
D) $0.50/lb
The charge in dollars for cab rides in one city is modeled by f(c) = 4 + 2.5m. When m is the number of miles traveled, what is the charge for a 3-mile ride?
What is the slope of the following table?
Answer:
The slope is 7
Step-by-step explanation:
Choose any of the following points for example (0.5,3.5) and (1,7)
7-3.5=4.5/1-0.5=0.5
Divide 4.5/0.5 to get 7
2x2 + 2 + 5x = -4 - x
Answer:
2.75 that are answer
Step-by-step explanation:
that are answer
A dozen of roses cost $64.44. How much did each rose cost?
Answer:
5.37
Step-by-step explanation:
if 12 roses cost 64.44 and the price of one is x then
12x=64.44
x=64.44/12
x=5.37
Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y = -1/2x + 3/7
Point (-1, 0)
Step 2: Find parallel line
Parallel lines have the same slope as the original but different y-intercepts.
m = -1/2
y = -1/2x + b
0 = -1/2(-1) + b
0 = 1/2 + b
b = -1/2
Step 3: Write parallel line
y = -1/2x - 1/2
If f(x) = 3x – 7 and g(x) = -x, what is
the value of f(g(2))?
Answer:
C. -19
Step-by-step explanation:
take 2 plug it into g(x)=-x^2 that gives you -4 take that number and plug it into f(x)=3x-7 that gives you -19
Answer:
C) -19
Step-by-step explanation:
Step 1: Define
f(x) = 3x - 7
g(x) = -x²
Step 2: Find g(2)
g(2) = -(2)²
g(2) = -4
Step 3: Find f(g(2)) or f(-4)
f(-2) = 3(-4) - 7
f(-2) = -12 - 7
f(-2) = -19
find the answer of x+3=9
Answer:
6 is answer
Step-by-step explanation:
x+3=9
or, x=9-3(because we have to change sign)
therefore, x=6ans//
Answer:
= x+3=9
= x=9_3=6
= x=6
Step-by-step explanation:
ANSWER
VALUE OF X =6
decimal expansion for 8/9
a. 0.8
b. 0.88
c. 0.9
d. 0.9
Answer: B
Step-by-step explanation:
hey can someone help cus ive been asking this same question for an hour and everyone who responded didnt give a real answer-
=============================================
Work Shown:
Let's call the "height" to be the "width".
The area of a rectangle is
area = length*width
We're told the width is 8.5 feet
If the length is some unknown variable L, then
area = length*width
area = L*8.5
area = 8.5L
We want the area to be at least 76.5 square feet
This means 8.5L is either equal to 76.5, or larger than it
[tex]\text{ area } \ge 76.5\\\\\\8.5L \ge 76.5\\\\\\\frac{8.5L}{8.5} \ge \frac{76.5}{8.5} \ \ \text{ ... divide both sides by 8.5}\\\\\\L \ge 9\\\\\\[/tex]
This shows the length can be 9 feet or larger.
In other words, the minimum length is 9 feet.
Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
A. Flipping a coin and getting heads for door A or tails for door C.
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.
D. Go to the game show and collect data for a month on which doors people chose.
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
Step-by-step explanation:
Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6
and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3
Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;
P[tex]_{door}[/tex](door A) = 1/3
P[tex]_{door}[/tex](door B) = 1/3
P[tex]_{door}[/tex](door C) = 1/3
Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.
Answer:
Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
Step-by-step explanation:
They have to be evenly probable so its B
edge 2020
Pls halp due today thank you!
Answer:
k
Step-by-step explanation:
Zn + 2HCI ZnCI2 + h2
Based on the reaction shown above, which statement best supports the law of conservation of mass?
There are more chlorine atoms in the reactant.
There are more hydrogen atoms in the product
The number of chlorine atoms is unequal in the reactants and products
.
The number of reactant atoms is equal to the number of product atoms.
Answer:
The number of reactant atoms is equal to the number of product atoms.
Step-by-step explanation:
Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t