Answer:
f(-8) = 104
Step-by-step explanation:
f(t) = t^2 - 5t
Let t=-8
f(-8) = (-8)^2 -5(-8)
= 64 +40
= 104
Pls mark Brainliest.
Answer:
f(-8) = 104
Step-by-step explanation:
f(-8) = (-8)^2 - 5(-8)
f(-8) = 64 + 40
f(-8) = 104
I need help with this^
Answer:
If it is asking for the order of the letters, it would be: Δ J H E
Explanation:
You have to put the letters in the same order that they were on the first triangle.
Hope this helps!! :)
An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are the possible side lengths of the aquarium?
Final answer:
The possible side lengths for a cubic aquarium that can hold between 4096 cubic inches and 8000 cubic inches of water are between 16 inches and 20 inches.
Explanation:
To find the possible side lengths of an aquarium in the shape of a cube that holds between 4096 cubic inches and 8000 cubic inches of water, you need to find the cube root of each volume since the volume of a cube is V = s³, where s is the side length.
For the minimum volume (4096 cubic inches):
[tex]\sqrt[3]{4096}[/tex] = 16 inches.
For the maximum volume (8000 cubic inches):
[tex]\sqrt[3]{8000}[/tex] = 20 inches.
Hence, the side lengths of the aquarium must be between 16 inches and 20 inches.
What is the slope of the line that contains the points (-2,2) and (3,4)?
Use the slope formula to find slope m. y2-y1/x2-x1
m=2/5
Answer:i would say A i think
Step-by-step explanation:
Is ĀB parallel to CD? Explain.
Answer:
slope of AB = 1-(-3)/0-(-3)
= (1+3)/3 = 4/3
Slope of CD = -1-(-5)/3-0
=(-1+5)/3 = 4/3
Both AB and CD are parallel because their slopes are equal.
What is the maximum number of times a line can cross the X axis
The line y = 0 will be having an infinite number of x-intercepts thus a line can cross the x-axis infinite times.
What is a line segment?A line section that can connect two places is referred to as a segment.
The line extends endlessly in both directions.
A line segment is just part of a big line that is straight and going unlimited in both directions.
If two lines intersect each other at a point then the number of intersections will be only one,
It is because the line away from the intersection goes away with the line.
But if two lines are on each other having an infinite number of intersections.
For example the intersection of line y = 0 with the x-axis.
Hence "The line y = 0 will be having an infinite number of x-intercepts thus a line can cross the x-axis infinite times".
For more about line segment,
https://brainly.com/question/25727583
#SPJ6
what is the difference between 3/5 and 3/10
Well, whenever you are working with fractions with different denominators, you would multiply both the top and the bottom of the fraction with the smaller number as the denominator. (You could also divide the larger denominator number.) So let's see what number we can multiply by 5 to get 10. That would be 2. Then we would multiply the numerator by two as well. So what is 3 times 2? 6. Once you've done that, you get 6/10 or 0.6 in decimal form. The difference would be 0.3 or 3/10. :)
A bonsai tree is 18 inches wide and stands 2 feet tall. What is the ration of the width of the bonsai to its height?
Answer:
3:4
Step-by-step explanation:
Before we start to deal with the ratio, we need all lengths in the same units.
The width is 18 inches.
The height is 2 feet.
Let's convert the height to inches. Then we will have both dimensions in the same units, inches.
2 ft * (12 in.)/ft = 24 in.
Now we have:
width = 18 in.
height = 24 in.
ratio of width to height = 18 in. to 24 in. = 18/24 = 3/4 = 3:4
*Click on the photo*
I’m really confused so thanks if you help me out I really appreciate it :D
Answer:
It would be 8.
Step-by-step explanation:
Since in the first answer the man was 6 feet and his shadow was 3, you divide 16 by 2. After dividing you get 8 feet.
Answer:
it would be 8 because 6/3 is 2 and 16/2 is 8
One digit in each of these identification numbers of a postal money order is smudged. Can you recover the smudged digit, indicated by a Q, in each of these numbers? a) 493212Q0688 b) 850Q9103858 c) 2Q941007734 d) 66687Q03201
Answer:
a) Q = 0 or 9
b) Q = 5
c) Q = 7
d) Q = 8
Step-by-step explanation:
We assume the postal money order to be of the United State. A smudged digit is calculated using the following algorithm.
1. Add first 10 digits of 11-digit number.
2. Divide the sum of the 10 numbers by 9.
3.The remainder is the smudged digit.
4.The smudged digit is appended to the end of the ID number or anywhere in the number.
It is calculated as:
[tex]x_{11} = (x_{1} + x_{2} + x_{3} + x_{4} + x_{5} + x_{6} + x_{7} + x_{8} + x_{9} + x_{10} )mod 9[/tex]
a) 493212Q0688
[tex]8 = (4 + 9 + 3 + 2 + 1 + 2 + Q + 0 + 6 + 8) mod 9\\8 = (Q + 35) mod 9\\8 = Q mod 9 + 35 mod 9\\8 = Q mod 9 + 8\\Q mod 9 = 8 - 8\\Q mod 9 = 0\\Q = 0 or 9[/tex]
Therefore, Q is either 0 or 9.
b) 850Q9103858
[tex]8 = (8 + 5 + 0 + Q + 9 + 1 + 0 + 3 + 8 + 5) mod 9\\8 = (Q + 39) mod 9\\8 = Q mod 9 + 39 mod 9\\8 = Q mod 9 + 3\\Q mod 9 = 8 - 3\\Q mod 9 = 5\\Q = 5[/tex]
Therefore, Q is 5 because from Q mod 9 = 5, we have Q = 5 mod 9.
c) 2Q941007734
[tex]4 = (2 + Q + 9 + 4 + 1 + 0 + 0 + 7 + 7 + 3) mod 9\\4 = (Q + 33) mod 9\\4 = Q mod 9 + 33 mod 9\\4 = Q mod 9 + 6\\Q mod 9 = 4 - 6\\Q mod 9 = -2\\Q = -2 mod 9\\Q = 7[/tex]
Therefore, Q is 7 because we have to cancel out the negative sign by adding the modulo base (9) to the negative number: -2 + 9 = 7.
d) 66687Q03201
[tex]1 = (6 + 6 + 6 + 8 + 7 + Q + 0 + 3 + 2 + 0) mod 9\\1 = (Q + 38) mod 9\\1 = Q mod 9 + 38 mod 9\\1 = Q mod 9 + 2\\Q mod 9 = 1 - 2\\Q mod 9 = -1\\Q = -1 mod 9\\Q = 8[/tex]
Therefore, Q is 8 because we have to cancel out the negative sign by adding the modulo base (9) to the negative number: -1 + 9 = 8.
For the given postal money order scenarios, the smudged digit, Q, is determined as follows: Scenario a - either 0 or 9, Scenario b - 5, Scenario c - 5, and Scenario d - 3.
Let's analyze the given postal money order scenarios and determine the smudged digit, Q, using the provided algorithm:
Scenario a:
ID number: 493212Q0688
Sum of the first 10 digits: 4 + 9 + 3 + 2 + 1 + 2 + 0 + 6 + 8 + 8 = 43
43 divided by 9 equals 4 with a remainder of 7.
Therefore, the smudged digit, Q, is either 0 or 9.
Scenario b:
ID number: 850Q9103858
Sum of the first 10 digits: 8 + 5 + 0 + 9 + 1 + 0 + 3 + 8 + 5 + 8 = 47
47 divided by 9 equals 5 with a remainder of 2.
Therefore, the smudged digit, Q, is 5.
Scenario c:
ID number: 2Q941007734
Sum of the first 10 digits: 2 + 7 + 9 + 4 + 1 + 0 + 0 + 7 + 7 + 3 = 40
40 divided by 9 equals 4 with a remainder of 4.
To cancel out the negative sign in the remainder, we add the modulo base (9) to the negative number: -4 + 9 = 5.
Therefore, the smudged digit, Q, is 5.
Scenario d:
ID number: 66687Q03201
Sum of the first 10 digits: 6 + 6 + 6 + 8 + 7 + 0 + 3 + 2 + 0 + 1 = 33
33 divided by 9 equals 3 with a remainder of 6.
To cancel out the negative sign in the remainder, we add the modulo base (9) to the negative number: -6 + 9 = 3.
Therefore, the smudged digit, Q, is 3.
To learn more about digit
https://brainly.com/question/12146428
#SPJ6
25 POINTS PLS HELPPP WITH MATH
Answer:
1. 23.55 in
2. 102.36 mm
Step-by-step explanation:
The circumference of a circle is calculated by the formula: [tex]C=\pi d=2\pi r[/tex] , where d is the diameter and r is the radius.
We can use this to answer both problems.
1. Since the diameter is 7.5 inches, then d = 7.5. Substitute this into the equation: [tex]C=\pi *7.5=3.14*7.5=23.55[/tex]. So, the circumference is 23.55 inches.
2. Here, the radius is 16.3 mm, so r = 16.3. Substitute this into the equation: [tex]C=2\pi r=2*3.14*16.3=102.364=102.36[/tex]. So, the circumference is 102.36 mm.
Hope this helps!
Answer:
1) 23.55 inches
2) 102.36 mm
Step-by-step explanation:
C = pi × d
1) C = 3.14 × 7.5
= 23.55
C = 2 × pi × r
2) C = 2 × 3.14 × 16.3
= 102.364 mm
What are the coordinates of vertex F" of F"G"H"?
(4, -1.5)
(4, 0.5)
(-1.5, 4)
(-0.5, 4)
Answer:(4,-1.5)
Step-by-step explanation:
You’d be adding 5,-0.5 to the respective coordinates. Point F’ is located at -1,-1 so you’d be adding 5 to -1 for the x coordinate and -0.5 to -1 for the y coordinate.
How to find the direct variation of x=2, y=8
Answer:
y = 4x
Step-by-step explanation:
Given that y and x vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition that x = 2, y = 8
8 = 2k ( divide both sides by 2 )
4 = k, thus
y = 4x ← equation of variation
A study conducted by a local university found that 25 percent of college freshmen support increased spending on environmental issues. If 6 college freshmen are randomly selected, find the probability that fewer than 4 support increased spending on environmental issues.
Answer:
13.18% or 0.1318
Step-by-step explanation:
please see the attached files for explanation
16.8 cm
Circle circumference
Answer: 5.2752
Step-by-step explanation: multiply 16.8 by pie 3.14 then you have the answerFind the volume of the cylinder help please
Answer: 18π units³ or 56.52 units³
Step-by-step explanation: Notice that the figure shown here is a cylinder. To find the volume of a cylinder, start with the formula for the volume of a cylinder which is shown below.
Volume = πr²h
Here, notice that our cylinder has a radius
of 3 units and a height of 2 units.
So we have (π)(3 units)²(2 units).
Start by simplifying the exponent.
(3 units)² is (3 units)(3 units) or 9 units².
So we have (π)(9 units²)(2 units).
Now, (9 units)²(2 units) is 18 units³.
So we have 18π units³.
So the volume of the cylinder shows here is 18π units³.
Remember that π is approximately equal to 22/7 or 3.14. So we can estimate the value of the volume by plugging in 3.14 for π.
So we have (18)(3.14) which is equal to 56.52.
So the value of the volume is approximately 56.52 units³.
Allison owns a trucking company. For every truck that goes out, Allison must pay the driver $11 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 15 miles per hour and Allison's total expenses for the driver, gas and truck maintenance were $286. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.
Answer:
y = 15x
11x + y = 286
where
y = number of miles driven by the truck driver
x = number of hours the truck driver drives
Solving this gives, x = 11 hours and y = 165 miles.
Step-by-step explanation:
Let the number of hours the truck driver drives be x.
Let the number of miles driven by the truck driver be y.
Since the truck driver drives at 15 miles per hour, the number of miles covered by the driver y, can be given from the speed equation.
Speed = (distance/time)
15 = (y/x)
y = 15x.
And the drivers are paid $11 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance.
Meaning that on a day that the truck driver drives y miles for x hours, the total pay, C, is given as
C = 11x + 1y = 11x + y
So, on this fateful day, the total amount paid to a truck driver was $286
So, C = $286
11x + y = 286.
So, the two equations for the scenarios are
y = 15x
11x + y = 286
Solving this gives, x = 11 hours and y = 165 miles.
Hope this Helps!!!
The system of a linear equation that could be used to determine the number of hours the driver worked and the number of miles the truck drove is : (11x + y = 286) and (y = 15x).
Given :
Allison owns a trucking company. For every truck that goes out, Allison must pay the driver $11 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 15 miles per hour, and Allison's total expenses for the driver, gas, and truck maintenance were $286.The following steps can be used in order to determine the system of linear equations:
Step 1 - Let the total number of miles be 'x' and the total number of hours be 'y'.
Step 2 - The linear equation that represents the total expenses for the driver, gas, and truck maintenance is given by:
11x + y = 286
Step 3 - The linear equation that represents the situation that the driver drove an average of 15 miles per hour is given by:
y = 15x
So, the system of a linear equation that could be used to determine the number of hours the driver worked and the number of miles the truck drove is : (11x + y = 286) and (y = 15x).
For more information, refer to the link given below:
https://brainly.com/question/11897796
The diagram shows a 7cm x 6cm rectangle-based pyramid all the diagonal sides - TA TB TC and TD are length 10cm M is the midpoint of the rectangular base work out the height MT to one decimal place
Height MT of the pyramid will be 8.9 cm
Given in the question,
Dimensions of the rectangular base = 7 cm × 6 cmM is the center of the rectangular base.Slant height of the pyramid = 10 cmSince, diagonals of a rectangle bisect each other, point M will be the midpoint of the diagonal AC.
By applying Pythagoras theorem in right triangle ΔABC,
AC² = AB² + BC²
AC = [tex]\sqrt{AB^2+BC^2}[/tex]
AC = [tex]\sqrt{6^2+7^2}[/tex]
AC = [tex]\sqrt{85}[/tex]
Therefore, AM = [tex]\frac{\sqrt{85} }{2}[/tex]
AM = 4.61 cm
Apply Pythagoras theorem in right triangle ΔAMT,
AT² = AM² + TM²
TM = [tex]\sqrt{AT^2-AM^2}[/tex]
TM = [tex]\sqrt{(10)^2-(4.61)^2}[/tex]
= [tex]\sqrt{78.7479}[/tex]
= 8.874
≈ 8.9 cm
Therefore, height MT of the pyramid will be 8.9 cm.
Learn more,
https://brainly.com/question/20385394
3 3/4 divided by 5/7
Answer:
[tex]\frac{21}{4}[/tex]
Step-by-step explanation:
So to start, you need to make 3 [tex]\frac{3}{4\\}[/tex] into an improper fraction, which will give you [tex]\frac{15}{4}[/tex]. Then to make it easier, instead of dividing it by [tex]\frac{5}{7}[/tex], multiply it by the reciprocal ( [tex]\frac{7}{5}[/tex] )
Your new expression should look like this:
[tex]\frac{15}{4}[/tex] x [tex]\frac{7}{5}[/tex]
To make it even easier, you can simplify this expression even further. Looking at the numerators and denominators, we see that we have a 15 on top and a 5 on the bottom. Cross out the 5 and put a 1 in its place since 5 goes into 5 one time! Now we have to do it to the 15... Cross out the 15 and put a 3 since 5 goes into 15 three times!
Your simplified expression should look like this:
[tex]\frac{3}{4}[/tex] x [tex]\frac{7}{1}[/tex]
Now, just multiply the numerators and the denominators to get your final answer of
[tex]\frac{21}{4}[/tex]
Since you cannot simplify this anymore, that is your answer!!!
Answer:
3/28
Step-by-step explanation:
The hypotenuse of a right triangle is 26 mm. One leg of the right triangle is 10 mm. What is the length of the other leg? 80 mm 20 mm 24 mm 28 mm
Answer:
Step-by-step explanation:
10^2 + b^2 = 26^2
100 + b^2 = 676
-100 -100
b^2 = 576
square root of b equals b
square root of 576 equals 24
The other leg equals 24
Answer:
24mm
Step-by-step explanation:
Using Pythagoreans Theorem, a^2+b^2=c^2
a^2+10^2=26^2
a^2+100=676
a^2=576
a= sqrt 576
a=24mm
1/8 + c = 4/5
c =
Solve the equation.
Answer:
c = 27/40.
Step-by-step explanation:
1/8 + c = 4/5
1/8 - 1/8 + c = 4/5 - 1/8
c = 4/5 - 1/8
c = 32/40 - 5/40
c = 27/40.
What’s 2 plus 2 plus 3 plus 5 plus 7
Answer:
The answer is 19
Step-by-step explanation:
2 + 2 = 4
3 + 5 = 8
4 + 8 = 12
12 + 7 = 19
is this expression contain a variable?
7+15n
Answer:
yes
Step-by-step explanation:
n
A sample of bacteria is being eradicated by an experimental procedure. The population is following a pattern of exponential decay and approaching a population of 0. If the sample begins with 500 bacteria and after 11 minutes there are 200 bacteria, after how many minutes will there be 50 bacteria remaining? Round your answer to the nearest whole number, and do not include units. answer
Answer:
There will be 50 bacteria remaining after 28 minutes.
Step-by-step explanation:
The exponential decay equation is
[tex]N=N_0e^{-rt}[/tex]
N= Number of bacteria after t minutes.
[tex]N_0[/tex] = Initial number of bacteria when t=0.
r= Rate of decay per minute
t= time is in minute.
The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.
N=200
[tex]N_0[/tex] = 500
t=11 minutes
r=?
[tex]N=N_0e^{-rt}[/tex]
[tex]\therefore 200=500e^{-11r}[/tex]
[tex]\Rightarrow e^{-11r}=\frac{200}{500}[/tex]
Taking ln both sides
[tex]\Rightarrow ln| e^{-11r}|=ln|\frac{2}{5}|[/tex]
[tex]\Rightarrow {-11r}=ln|\frac{2}{5}|[/tex]
[tex]\Rightarrow r}=\frac{ln|\frac{2}{5}|}{-11}[/tex]
To find the time when there will be 50 bacteria remaining, we plug N=50, [tex]N_0[/tex]= 500 and [tex]r}=\frac{ln|\frac{2}{5}|}{-11}[/tex] in exponential decay equation.
[tex]50=500e^{-\frac{ln|\frac25|}{-11}.t}[/tex]
[tex]\Rightarrow \frac{50}{500}=e^{\frac{ln|\frac25|}{11}.t}[/tex]
Taking ln both sides
[tex]\Rightarrow ln|\frac{50}{500}|=ln|e^{\frac{ln|\frac25|}{11}.t}|[/tex]
[tex]\Rightarrow ln|\frac{1}{10}|={\frac{ln|\frac25|}{11}.t}[/tex]
[tex]\Rightarrow t= \frac{ln|\frac{1}{10}|}{\frac{ln|\frac25|}{11}.}[/tex]
[tex]\Rightarrow t= \frac{11\times ln|\frac{1}{10}|}{{ln|\frac25|}}[/tex]
[tex]\Rightarrow t\approx 28[/tex] minutes
There will be 50 bacteria remaining after 28 minutes.
Final answer:
To solve this problem, we use the formula for exponential decay and solve for the time when there are 50 bacteria remaining.
Explanation:
To solve this problem, we can use the formula for exponential decay: A = A0 * e^(kt), where A is the final population, A0 is the initial population, e is Euler's number (approximately 2.71828), k is the decay constant, and t is the time in minutes.
First, let's determine the value of k. We know that after 11 minutes, the population is 200 bacteria, so we can substitute these values into the formula to solve for k: 200 = 500 * e^(11k).
Divide both sides of the equation by 500: 0.4 = e^(11k).
Take the natural logarithm of both sides to solve for k: ln(0.4) = 11k.
Divide both sides by 11 to find the value of k: k ≈ -0.07761.
Now we can use the formula to solve for t when there are 50 bacteria remaining: 50 = 500 * e^(-0.07761t).
Divide both sides by 500: 0.1 = e^(-0.07761t).
Take the natural logarithm of both sides to solve for t: ln(0.1) = -0.07761t.
Divide both sides by -0.07761 to find the value of t: t ≈ 13.857 minutes.
Therefore, after approximately 14 minutes (rounded to the nearest whole number), there will be 50 bacteria remaining.
In a right triangle ABC AB = 2cm BC =5cm and CA = square root of 29. what is angle A round to the nearest tenth
Answer:
68.2°
Step-by-step explanation:
AC is the longest side which means 90° is at B
SinA = BC/AC
sinA = 5/sqrt(29)
sinA = 0.9284766909
A = 68.19859051
A = 68.2°
To find the measure of angle A, we used the tangent function, which is the ratio of the side opposite the angle to the side adjacent to it. Using a calculator, the inverse tangent of the ratio BC/AB equals approximately 68.2 degrees.
Explanation:In order to solve for angle A in a right triangle, we can use the concept of trigonometry. Specifically, we'll use the tangent (tan) function, which in a right triangle is the ratio of the side opposite the angle to the side adjacent to it. Since angle A is between sides AB and AC, the tangent of A would be defined as tan(A) = opposite side/adjacent side = BC/AB = 5/2.
After calculating the ratio, typically, we would use a calculator to find the arctan or inverse tangent of this ratio, which should give the angle A in degrees. In this case, the arctan(5/2) equals about 68.2 degrees when rounded to the nearest tenth.
Learn more about Trigonometry here:https://brainly.com/question/31896723
#SPJ11
Classify the following polynomials by degree and number of terms
Answer:
degree: linear
terms: binomial
Step-by-step explanation:
The polynomials are :
↬ binomial↬ a third-degree binomialSolution :
To classify polynomials, we look at the number of terms and the degree of the polynomial.
Number of Termsmonomial - 1 term
binomial - 2 terms
trinomial - 3 terms
polynomial - 4 terms or more
Degree (highest exponent)first
second (quadratic)
third
fourth (quartic)
etc.
_________________
[tex]\pmb{3x+12}[/tex] has 2 terms and its highest exponent is 1. Hence it's a binomial.
[tex]\pmb{x^3-8}[/tex] has 2 terms and its highest exponent is 3, hence we have a third-degree binomial.
Wind power P from a turbine varies directly as the square of the length r of one ofits blades. Two common blade lengths for commercial wind turbines are 35m and 50m. When the blade length is 35m about 1.5 megawatt of power is produced under favorable conditions. How much power would be produced, under favorable conditions, by a turbine with 50m blades.
Answer:
3.06 megawatts
Step-by-step explanation:
Firstly, we write the proportionality equation.
wind power varies directly as the square of the length r of one of the blades;
P ∝ r^2
Let’s introduce a constant of proportionality k; This means;
P = kr^2
Now let’s calculate the value of k when 1.5 megawatts and r is 35m
1.5 mw = 35^2 * k
k = 1.5/35^2 = 1.5/1225 = 0.001224489796 MW/m^2
Now we want to calculate the amount of megawatts to be produced by a turbine with 50m blades.
That would be;
P = 0.001224489796 * 50^2 = 3.06 megawatts
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.
Given that P varies directly with r², if we introduce a constant of proportionality, k, the expression becomes
P = kr²
If P = 1.5 when r = 35, then
1.5 = k × 35²
k = 1.5/35² = 1.5/1225
Therefore, the direct variation function is
P = 1.5r²/1225
When r = 50, then
P = 1.5 × 50²/1225
P = 3.06 megawatt
Solve the equation: 4m - 7 = - 19
Answer:
m = - 3
Step-by-step explanation:
- 19 + 7 = -12
- 12 ÷ 4 = -3
The value of sales at a shop decreases from £145000 a year to £129000. Find the percentage decrease in the values of sales.
Answer:
Percentage of decrease in Sales = 11.04% or 11 %
Step-by-step explanation:
Decrease Percentage = [(Original Value - New Value) ÷ Original Value] × 100
Percentage = [(145,000 - 129,000) ÷ 145,000] × 100
Percentage = [(16,000) ÷ 145,000] × 100
Percentage = (0.1104) × 100
Percentage of decrease in Sales = 11.04% or 11 %
please help!! 20 points!
Answer: First choice
Sq rt of 3 X sq rt of 2 = sq rt of 6 which is irrational
Sq rt of 12 and sq rt of 3 = sq rt of 36 which = 6 rational
Sq rt of 5 plus sq rt of 2 is irrational
Sq rat of 9 plus sq rt of 4 is 3+2=5 rational
Step-by-step explanation:
John works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs. Let be the number of hours John worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Correct Question:
John works as a tutor for $12 an hour and as a waiter for $8 an hour. This month, he worked a combined total of 86 hours at his two jobs.
Let be the number of hours John worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Answer:
Total hours = 86
Let t is the hours he spent on tutoring
then (86-t) is hours spent on waiting
Let Y is the total amount in dollars which is required .
Now;
y = (tutoring hours x 12$) + (waiting hours x 8$)
Y = 12t + 8(86-t)