emma ray and norman shared 4/5 of a pizza. Do you think thet had 1/3 each? yes or no?
No, because 4/5 divided by 2 is 2/5 which does not equal 1/3 :)
Find the total surface area of this cuboid.
Answer:
148cm
Step-by-step explanation:
Manita installs a program on her computer. After 3 minutes, the window shows that the installation is 15% complete. Humi installs the same program on a different computer. After her computer showed that the installation was 15% complete, it took Humi’s computer 68 minutes to complete the installation. Which computer installs the program faster and how many minutes faster did it install this program?
Manita's computer installed the software 48 minutes before than Humi's computer.
What is unit rate?A unit rate means a rate for one of something.
Given that, Manita's computer takes 3 minutes to download a program 15% and Humi's computer install it in 68 minutes 100%.
Manita's computer;-
15% in 3 min
1% in 1/5 minutes
100% in 1/5x100 = 20 minutes.
Whereas, Humi's computer took 68 minutes to install the same program.
This mean, Manita's computer was faster than Humi's.
68-20 = 48
Hence, Manita's computer installed the software 48 minutes before than Humi's computer.
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K
The mean percent of childhood asthma prevalence in 43 cities is 2.38%. A random sample of 31 of these cities is selected. What is the probability that the mean childhood asthma
prevalence for the sample is greater than 2.8 % ? Interpret this probability. Assume that o=1.40%.
The probability is
(Round to four decimal places as needed.)
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Dec 2 2:44 O
Answer:
P(X > 2.6) = 0.0475 = 4.75%
Step-by-step explanation:
Let X is the random variable that represents percent of childhood asthma prevalence.
We want to find out the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%
The z-score corresponding to 1.67 is 0.9525
P(X > 2.6) = 1 - 0.9525
P(X > 2.6) = 0.0475
P(X > 2.6) = 4.75%
Therefore, there is 4.75% probability that the mean childhood asthma prevalence for the sample is greater than 2.6%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.6)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.67 then go for 0.07 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
help please quick question
[tex]f=\frac{x}{x-1}[/tex]
the domain is 1
composite f of f is: f(f(x))
finding the domain of the composite through [tex]\frac{x}{x-1} =1\\x=x-1\\0=-1\\[/tex]
using a graphing calculator, I know that a hole is at (1,1), but can I figure that out without using a graphing calculator and through the domain, say 1=0. Can somebody please just quickly explain this to me.
Step-by-step explanation:
What you are trying to do, it solve for the zeros of the rational function. To find the domain of composite function,
[tex] \frac{x}{x - 1} [/tex]
Substitute x/(x-1) for every x you see.
[tex] \frac{ \frac{x}{x - 1} }{ \frac{x}{x - 1} - 1} = \frac{x(x \\ - 1)}{1} = x(x - 1)[/tex]
We know that the function domain can not be 1, this functions works for all reals, so our domain is
All reals except 1.
HELPPPP!!!!! 30 POINTSSS!!!!!1
Which of the following scatter plots shows a negative correlation?
The scatterplot that shows a negative correlation is graph (b)
How to determine the scatter plots that shows a negative correlation?In this question, the graphs represent the given parameter
From the graphs, we have the following observations
The x values is on the horizontal axisThe y values is on the vertical axisTo determine the graph with a negative correlation, we make use of the following statements
When the change (increase) in the x values causes a change (increment) in the y values, then the correlation is positiveWhen the change (decrease) in the x values causes a change (decrement) in the y values, then the correlation is positiveFrom the list of options, we have
Graph (b) that shows increase - decrease relationship
Hence, the scatter plot is (b)
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If an arrow is shot straight upward on the surface of the moon with initial velocity 60m/s, its height after t seconds is given by h(t) = 60t - 0.8t². (a) What is the velocity of the arrow after 1 second? (b) At what time t > 0 will the arrow hit the moon? (c) What is the velocity of the arrow when it hits the moon? (d) At what time does the arrow reach its maximal height? Show your working out!
The motion of the arrow, described by the kinematic equation for the height, h(t) = 60·t - 0.8·t² are as follows;
(a) The velocity after 1 second is 58.4 m/s
(b) The arrow hits the moon after 75 seconds
(c) The velocity of the arrow when it hits the moon is 60 m/s
(d) The arrow reaches the maximum height in37.5 seconds.
What is a kinematic equation?A kinematic equation is an equation that describes the motion of an object moving under constant acceleration.
The kinematic (equation) function for the height of the arrow is; h(t) = 60·t - 0.8·t²
The initial velocity of the arrow = 60 m/s
(a) The velocity of the arrow = The rate of change of the height, therefore;
v = h'(t) = 60 - 2 × 0.8·t = 60 - 1.6·t
The velocity after 1 second = h'(1) = 60 - 1.6 × 1 = 58.4
The velocity of the arrow after 1 second is 58.4 m/s
(b) When the arrow hits the moon, we get;
h(t) = 0, therefore;
h(t) = 60·t - 0.8·t² = 0
( 60 - 0.8·t)·t = 0
t = 0 or 60 - 0.8·t = 0
t = 60/0.8 = 75
The time the arrow hit the moon is 75 seconds after being shot
(c) The velocity of the arrow when it hits the moon is found using the equation;
h'(37.5) = 1.6 × 37.5 = 60
The velocity when it hits the moon, the velocity is 60 m/s
(d) The motion of the arrow is symmetrical, therefore, the time it takes the arrow to reach the the maximal height is the time it takes the arrow to reach back to the moon surface, which indicates;
The time it takes the arrow to reach maximum height is half the time it takes the arrow to hit the moon after being shot = 75/2 seconds = 37.5 seconds
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I need the equation to solve this problem
What equation to solve what problem?
Rectangle is36 square centimeter and it’s length 9 centimeter
The width of a rectangle when it's area is 36 square centimeter and it’s length 9 centimeter is 4vm.
What will the width be?From rte information, the rectangle is 36 square centimeter and it’s length 9 centimeter. It should be noted that the the area of a rectangle is calculated thus:
Area = Length × Width
36 = Length × Width
Width = 36 / Length
Width = 36 / 9
Width = 4.
The width of the rectangle is 4cm
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Complete question
A Rectangle is36 square centimeter and it’s length 9 centimeter. Fund the width.
Sorry for the reupload I just need some help on this question please thank you
(Comparing Two Linear Functions)
The equation that represent each situation, in terms of x, is
A = 19 + 0.50xB = 13 + 1.50xThe number of monthly movies watched, x, that would make the two plans have an equal monthly cost is 6 movies.
How to write and solve equation?Let
Monthly cost of plan A = AMonthly cost of plan B = BNumber of monthly movies watched = xPlan A:
A = 19 + 0.50x
Plan B:
B = 13 + 1.50x
Equate A and B
19 + 0.50x = 13 + 1.50x
collect like terms
19 - 13 = 1.50x - 0.50x
6 = x
Hence,
x = 6 movies
In conclusion, the number of monthly movies watched to have an equal amount is 6 movies.
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The function of X equals 2X is transformed to G X equals 2X -3 what type of transformation has occurred
The transformation that has occurred is a vertical shift by 3 units down when the function of X = 2X is transformed to X = 2X -3
What is meant by linear equations?Function that have the form ax + b = 0—where a and b are constants and x is a variable—are known as linear equations. Because they plot as a single direction, these equations are referred to as "linear which is equals to The slope of this line is dictated by the value of a, and the y-intercept (where the line crosses the y-axis) is determined by the value of b. Solving a linear equation entails determining the value of x that makes the equation true. Algebraic strategies like graphing, substitution, or elimination can be used for this. In a number of disciplines, such as engineering, physics, and finance, linear equations are often utilized.
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An orchard has 468 pear trees. The number of rows exceeds the number of trees per row by 8. How many trees are there in each row
If an orchard has 468 pear trees and The number of rows exceeds the number of trees per row by 8. the number of trees that are in each row would be 18
How to solve for the number of treesWe have to define T as the number of trees that are in a row.
Then we have to define t + 8 as the number of rows that we have
This would give us the equation that is written as
t(t + 8) = 468
then we would have
t² + 8t -468 = 0
We would have to find the factors of 468 which when inputted in the equation would give us the value 468
t(t + 8) = 468
This factor would be 18
such that
18 ( 18 + 8) = 468
18 * 26 = 468
468 = 468
Hence the number of trees that are in each row would be 18
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100 points for correct answer
Answer:
[tex]\dfrac{x}{3}+\dfrac{3}{y}[/tex]
Step-by-step explanation:
Given fraction:
[tex]\dfrac{xy+9}{3y}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}:[/tex]
[tex]\implies \dfrac{xy}{3y}+\dfrac{9}{3y}[/tex]
Rewrite 9 as 3 · 3:
[tex]\implies \dfrac{xy}{3y}+\dfrac{3 \cdot 3}{3y}[/tex]
Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:
[tex]\implies \dfrac{x\diagup\!\!\!\!y}{3\diagup\!\!\!\!y}+\dfrac{\diagup\!\!\!\!3 \cdot 3}{\diagup\!\!\!\!3y}[/tex]
[tex]\implies \dfrac{x}{3}+\dfrac{3}{y}[/tex]
Find the length of LK. Show or Explain your work.
Answer:
3
Step-by-step explanation:
LK is around half of AB, which is 6. Half of 6 is 3.
BRAINLIEST PLEASE!Please help, I will give brainliest to the fisrt person to answer CORRECTLY.
Answer: there will be 4/7 of 7/4 groups in 1. and for 3÷7/4=1.71428571429.
Step-by-step explanation: I hope this helps.
Find the circumference of this circle.
Use 3.14 to approximate ™.
C = 2πr
14 ft
C = [?] ft
Entered
Answer:
43.9823
Step-by-step explanation:
14 / 2 = 7
7 = r
2π(7)
= 43.9823
Write as many figure names as possible for the book cover
Give the linear homogeneous DE with constant coefficients that has solution y =
(c1)e^(−2x) + (c2)e^(x).
y''+y-2=0 is the linear homogeneous DE with constant coefficients that has solution y=c₁e⁻²ˣ+ c₂eˣ
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
Given the general solution y=c₁e⁻²ˣ+ c₂eˣ
the set of fundamental solutions becomes eˣ and e⁻²ˣ
This set is corresponding to the distinct roots m= 1, -2of the corresponding auxiliary equation. Hence, the auxiliary equation so formed is
(m-1)(m-(-2))
(m-1)(m+2)
m²+2m-m-2
m²+m-2
The corresponding linear homogeneous DE with constant coefficients is
y''+y-2=0
Hence, y''+y-2=0 is the linear homogeneous DE with constant coefficients that has solution y=c₁e⁻²ˣ+ c₂eˣ
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Set up the equation for the following word problem and solve the equation. Let y be the unknown number.
If a number divided by 3 is increased by 38, the result is 96.
If y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the condition is "If a number divided by 3 is increased by 38, the result is 96".
Let y be the unknown number.
The equation for the following word problem is,
y/3+38=96
The equation is solved in further steps,
(y+114)/3=96
y+114=96×3
y+114=342
y=342-114
y=228.
Thus, if y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.
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Aarav has budgeted $300 to spend on hanging planters and raised garden beds. Each hanging planter costs $16, and a raised bed costs 1. 5 times as much as a hanging planter
Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.
What is the cost?
The concept of cost is a key concept in Economics. It refers to the amount of payment made to acquire any goods and services.
Here given that,
Aarav has budgeted $ [tex]300[/tex] to spend on hanging planters and raised garden beds. Each hanging planter costs $ [tex]16[/tex], and a raised bed costs [tex]1. 5[/tex] times as much as a hanging planter.
So,
The total cash he used to buy the hanging planter is [tex]16(1.5)=24[/tex]$.
So, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.
Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.
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8 times the difference of 10 and b
Answer:
8(10-b)
Step-by-step explanation:
8(10-b)
open the bracket
80-8b
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EXTRA POINTS!! Just Find the length of the missing side for the triangle below:
Round to the nearest tenth of a foot.
o 20.1 feet
o 26.5 feet
0 34.1 feet
© 23.6 feet
Answer:i is 20.1
Step-by-step explanation:
Aisha's softball coach can buy equipment for 8 players for $3080 or for 6 players for $2430. Which option is the better deal? Explain.
Answer:
Equipamiento para 8 jugadores
Explanation:
Porque la diferencia de dinero no es muy grande ni muy pequeña, por lo que obtienes equipamiento para más jugadores a un buen precio.
Given f(x)=-x-5, find f(0)
PLEASE HELP ME!!!!!!
replace x with 0
f(x) = -x - 5
find f(0)
f(0) = 0-5
f(0) = -5
EIGHT TIMES THE RESULT OF SUBTRACTING 3 FROM A NUMBER IS EQUAL TO THE NUMBER INCREASED BY 25 WHAT IS THE NUUMBER
Two angles of a triangle have the same measure and the third one is 54 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answer:
Step-by-step explanation:
obtuse.
If using the method of completing the square to solve the quadratic equation x^2-16x+37=0 which number would have to be added to "complete the square"?
Answer:
-27
(negative number)
Step-by-step explanation:
-b/2a = -(-16)/2(1) = 16/2 = 8
x + 8
x x^2 8x
+
8 8x 64
So we got 64, but 64 is not 37 so we need to change that by subtracting 27 from it.
64 - 27 = 37
So the final answer (in vertex form) is:
(x+8)^2 - 27
(-27) is the number being added
HELP ME OUT PLEASEEEEE TANKS
Answer: N = 5
Step-by-step explanation:
Can you PLEASE Help!!!!!!
The given function in slope-intercept should be used to complete the table of values as follows;
x y
9 4
6 2
0 -2
-3 -4
A function that relates the distance (d) traveled to the time (t) is d = 120t.
A graph of the function is shown in the image attached below and it is a linear function.
How to complete the table of values?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the y-intercept.Next, we would use the given function in slope-intercept to complete the table of values as follows;
When y = 9, the value of x is given by:
y = 3x/2 + 3
9 = 3x/2 + 3
3x/2 = 9 - 3
3x/2 = 6
3x = 12
x = 12/3
x = 4.
When y = 6, the value of x is given by:
y = 3x/2 + 3
6 = 3x/2 + 3
3x/2 = 6 - 3
3x/2 = 3
3x = 6
x = 6/3
x = 2.
When y = 0, the value of x is given by:
y = 3x/2 + 3
0 = 3x/2 + 3
3x/2 = -3
3x = -6
x = -6/3
x = -2.
When y = -3, the value of x is given by:
y = 3x/2 + 3
-3 = 3x/2 + 3
3x/2 = -3 - 3
3x/2 = -6
3x = -12
x = -12/3
x = -4.
How to write a function for the distance and time?Mathematically, a constant of proportionality (speed) for this train's journey (distance) can be represented with the following mathematical expression:
d = kt
Where:
d represents the distance.t represents the time.k represents the constant of proportionality (speed).Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = d/t
Constant of proportionality (k) = 360/3
Constant of proportionality (k) = 120
Therefore, the required function that relates the distance (d) and time (t) is given by;
d = kt
d = 120t
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Write an equation that represents the line. Use exact numbers
Answer: [tex]\boxed{y=\frac{3}{4}x- \frac{9}{2} }[/tex]
Step-by-step explanation:
Given the points: (2, -3) and (-2, -6)
using the slope formula, lets calculate the slope,
[tex]\frac{-6+3}{-2-2} =\frac{3}{4}[/tex]
Using point-slope form lets solve,
[tex]y+3=3/4(x-2)\\\\\boxed{y=\frac{3}{4}x- \frac{9}{2} }[/tex]