Answer:40
Step-by-step explanation:
Answer:
36.4 is the answer36.4 is the answerStep-by-step explanation:36.4 is the answerStep-by-step explanation:Hope this is helpfullUsing the method of proof by contradiction, prove that if a product of two positive real numbers is greater than 1,000,000, then at least one of the numbers is greater than 1000.
Step-by-step explanation:
To prove - Using the method of proof by contradiction, prove that if
a product of two positive real numbers is greater than
1,000,000, then at least one of the numbers is greater
than 1000.
Proof -
For a proof of contradiction , firstly we have to assume that the statement is not true.
Here given statement is - A product of two positive real numbers is greater than 1,000,000.
Let if possible, there does not exist 2 +ve integer real number such that at least one of the numbers is greater than 1000.
⇒both the number are in between 0 to 1000
Let a and b are 2 +ve real numbers.
⇒ab < 1000×1000
⇒ab < 1000000
As given,
ab > 1000000
Contradiction.
Hence proved.
If a product of two positive real numbers is greater than 1,000,000, then at least one of the numbers is greater than 1000.
HELP ME.,,,,,,,,,,,,,,,,,,,
Answer:
Step-by-step explanation:
Use pythagorean theorem
9^2 +40^2=x^2
81+1600=x^2
1681=x^2
now find the square root of each side
[tex]\sqrt{1681} =\sqrt{x}[/tex]
x=41
f(x) = (x + 2) (x - 7)3
Answer:
y=3x^2 -15x-42
Step-by-step explanation:
Peter lives in an apartment and pays the following expenses each month: electric bill, $34.80; TV streaming service,
$27.99; and rent, $614.85. Estimate his total expenses for the month by first rounding each value to the nearest tens
place.
Answer:
680
Step-by-step explanation:
add al you can add all of them and then my total came to 67 7.64 rounded to the nearest should be around 680
The total expenses for the month including electric bills, TV streaming service and rent is $677,6.
What is summation?Summation is basically the result obtained by addition of all the numbers whose summation is to be obtained. The symbol used is ∑ for summation.
How to calculate total expenditure?The expenditures done by Peter who lives in an apartment are:
Electric bill=$34.80
TV streaming service=$27.99
Rent=$614,85
Total expenditure incurred by Peter on electric bill, TV streaming service and rent =34.80+27.99+614.85
=$677.64
After rounding off we will get $677.6.
Hence the total expenses done by Peter on electric bill, tv streaming service, rent is $677.6.
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describe de manera clara y sencilla tres conceptos principales del tema anterior y explique su importancia
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Cylinders a and b each stated with different amounts of water. The graphs shows how the height of the water changed as the volume of the water increased in each cylinder. Which cylinder has the larger radius? a or b
X-7>29 inequalities someone please help
Answer:
x>36
Step-by-step explanation:
Hope this helps and good luck
Diameter:
20 inches
Use the image above to calculate the CIRCUMFERENCE of the circle. Write your answer below. Click the show
your work tab below to answer.
NEED HELP ASAP 15 POINTS
AKI-OLA publication annual income of 258,ooo
salaries Gh49,020
training Gh72,000
housing Gh60,000
entertainment Gh12,000
exigencies Gh23,020
(a) what percentage of the income is spent on salaries.
(b) what is the ratio of the amount for housing to the amount for training,
Answer:
(a) 19%
(b) 5:6
Step-by-step explanation:
Given: Gh 258,000
salaries Gh 49,020
training Gh 72,000
housing Gh 60,000
entertainment Gh 12,000
exigencies Gh 23,020
(a) Percentage of the income spent on salaries = [tex]\frac{amount of salaries}{total income}[/tex] x 100
= [tex]\frac{49020}{258000}[/tex] x 100
= 0.19 x 100%
= 19%
The percentage of the income spent on salaries is 19%.
(b) Ratio of amount for housing to amount for training = [tex]\frac{amount for housing}{amount for training}[/tex]
= [tex]\frac{60000}{72000}[/tex]
= [tex]\frac{5}{6}[/tex]
The ratio of the amount for housing to the amount for training is 5:6
Liam, Sarah and Emily shared some money in the ratio 3:6:8
Emily got £80 more than Liam.
How much money did Sarah get?
A store sells a package of 3 notebooks for $2. The point on the graph represents this ratio relationship. Which ordered pairs represent equivalent ratios that would also be on the graph? Choose all the correct answers. A (4, 6) B (6, 4) C (9, 6) D (12, 8) E (15, 9) F (16, 12)
Answer:
B, C, D
Step-by-step explanation:
Those are the equivalent ratios, look where the umbers are placed in the question to where they are placed in the ratio
If the diameter
of Earth is 7918
miles, what is the
distance from its
surface to its core,
in miles?
Answer:
3959
Step-by-step explanation:
Distance from surface to its core is 3,959 miles
Distance based problem:Given that;
Diameter of earth = 7,918 miles
Find:
Distance from surface to its core
Computation:
Radius of earth = Distance from surface to its core
Distance from surface to its core = 7,918 / 2
Distance from surface to its core = 3,959 miles
Find out more about 'distance'.
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A tank contains 350 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t.
Answer:
[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]
A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]
Step-by-step explanation:
Given - A tank contains 350 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t.
To find - Find the rate at which the number of grams of salt in the tank is changing at time t.
Find the number A(t) of grams of salt in the tank at time t.
Proof -
Given that,
Total fluid in the tank = 350 litres
Total salt = 40 grams
Rate in flow = 5 L/min
Rate out flow = 5 L/min
Concentration in = 0
Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)
Now,
Total solution in the tank at time t = Total fluid in the tank + (Rate in flow - Rate out flow )t
= 350 + (5 - 5)t
= 350
⇒Solution in the tank at time t = 350
⇒Concentration out = [tex]\frac{A(t)}{350}[/tex]
Now,
Rate of change in the tank at time t = [tex]\frac{dA}{dt}[/tex]
= (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)
= 5(0) - 5([tex]\frac{A(t)}{350}[/tex])
= 0 - [tex]\frac{A(t)}{70}[/tex]
= [tex]-\frac{A(t)}{70}[/tex]
⇒[tex]\frac{dA}{dt}[/tex] = [tex]-\frac{A(t)}{70}[/tex]
⇒[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]
Integrate both sides , we get
ln(A) = [tex]-\frac{1}{70}t + C[/tex]
⇒A(t) = [tex]e^{-\frac{t}{70}+ C}[/tex]
= [tex]e^{-\frac{t}{70}}*e^{C}[/tex]
= [tex]C_{1} e^{-\frac{t}{70}}[/tex]
⇒A(t) = [tex]C_{1} e^{-\frac{t}{70}}[/tex]
Now,
Given that,
Initially, the tank has 40 grams of salt
⇒A(0) = 40
⇒C₁ = 40
⇒A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]
Which matches the inequality?
x > 3
(adding extra characters so its over 20)
Lydias hotel room number has three digits.The hundreds digit has a value of 40 Tens.The Tens digit is greater than 6. Which could be Lydias hotel room number?
Any 3 digit number can be expressed in the form of:
[tex](a*100)+(b*10)+(c*1)[/tex]
Where [tex]a, b, c[/tex] represent any natural number from 0 to 9.
We are told the hundreds number (this means [tex]a*100[/tex] in the expression above) is equal to the value of 40 tens, 40 tens is 400. Then, we know the digit in the tens is greater then 6, this means [tex]b>6[/tex] in the expression above.
So, there are multiple numbers the room number could be, namely:
[tex]400+(b*10)+(c*1)\\[/tex]
where [tex]b[/tex] can be 7, 8, or 9; and [tex]c[/tex] can be 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. So, there's 30 possible room numbers Lydia may be.
To visit his grandmother, Luis takes a train 6.376.376, point, 37 kilometers and a car 5.455.455, point, 45 kilometers.
How many kilometers is Luis's journey in total?
Answer:
Luis traveled 11.82 km in total.
Step-by-step explanation:
The statement should say: To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis's journey in total?
Hence, to find the total distance traveled by Luis we must add the distances of the train (6.37 km) and the car (5.45 km):
[tex] d = d_{t} + d_{c} = 6.37 km + 5.45 km = 11.82 km [/tex]
Therefore, Luis traveled 11.82 km in total.
I hope it helps you!
A portion of a roadmap is shown in the figure. What is the measure of angle p.
Step-by-step explanation:
Per our conceptual understanding, when two parallel lines are cut by a transversal line then their corresponding angles are equal.
So, If PQ and RS are two parallel lines and line L1 as shown is the transversal line then the corresponding angles are equal.
Hence, ∠1 = ∠2Or, c0 = 1800 – c02c = 180c = 90°
Therefore, if we get c = 90° then PQ and RS are parallel else PQ and RS are not parallel,
With this understanding, let us now analyse the individual statements.
Step 3: Analyse Statement 1
“b = 2a”
Per conceptual understanding, the sum of all the angles of a triangle is 180.
Hence, a + b + c = 180a + 2a + c = 1803a + c = 180
However, from the above equation, we can get many values of a and c.
Hence, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
“c = 3a”
a + b + c = 180a + b + 3a = 180b + 4a = 180
However, from the above equation, we can get many values of a and b.
Hence, statement 2 is not sufficient to answer the question.Step 5: Combine Both Statements Together (If Needed)
From statement 1:
3a + c = 180
From statement 2:
c = 3a
Combining both the statements:
3a + 3a = 180.
From the above equation, we can find the value of a. Then we can find c.
Since we could find the answer by combining both the statements, option C is the correct answer.
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Should you use theoretical or experimental probability to predict the number of times you will draw an M in 2,000 draws? Explain
No troll comments + don’t answer if you don’t know..
And I don’t want to see, attach a file here and then some wierd website name... Stop it’s not funny
Answer:
Sorry If I'm wrong but I'm pretty sure you would use theoretical
Step-by-step explanation:
Because Theoretical is used to make predictions and when doing this you would have to make lots of predictions on what you would get.
(Hope It's Right!)
Monique sells lemonade at a lemonade stand. The model she uses to predict future
lemonade sales is described by the equation f(1) = 2(x – 65) + 12, where I is
the high temperature of the day and f(x) is the number of glasses of lemonade sold.
Which statement describes the slope of Monique's equation?
Answer:
The answer would be D
Step-by-step explanation:
Why? because as the temperature increases the amount of lemonade sold increases by 2
This is represented in 2(x) if that makes sense
For every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The function is given below.
f(x) = 2(x – 65) + 12
f(x) = 2x – 130 + 12
f(x) = 2x – 118
For every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade. Then the correct option is D.
More about the linear equation link is given below.
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The missing options are given below.
a) for every 65-degree decrease in high temp of the day, lemonade sales increase by 1 glass of lemonade
b) for every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade
c) for every 65-degree decrease in high temp of the day, sales decrease by 1 glass
d) for every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade
What is the area of this figure?
Enter your answer in the box.
Answer:
20
Step-by-step explanation:
add 3ft+3ft+11ft+3ft and that's your answer
victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below
The interquartile range of Victor's lemonade sale is A = 7
What in Interquartile Range ( IQR )?The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.
The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.
Given data ,
Let the interquartile range of sales of Victor's lemonade be A
Now , the equation will be
Let the 75th percentile data = 29
Let the 25th percentile data be = 22
Now , the IQR is calculated by spread between the data's 75th and 25th percentiles
On simplifying , we get
The IQR = 29 - 22 = 7
Hence , the interquartile range is 7
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The complete question is :
Victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below.
What is the interquartile range of the data?
inverse operation needed
Answer:
it is C.
Step-by-step explanation:
we know,
14+17= 31
so if we subtarct 17 from 31 we get 14
and if we subtract 14 from 31 we get 17
2. Party Land charges a $125 flat fee for a birthday party with an additional charge of $5.00
for each person attending. Lucy has at most $450 to spend on her party. What is the
greatest number of people that she can have at her party so that she doesn't go over her
budget?
Answer:
She can invite 66 people so 66 x 5 = $330 + 120 = $450
Step-by-step explanation:
The graph shows a proportional relationship. Which equation matches the
graph?
A. y = 2
B. y = x
C. y = 4x
D. y = x
The intercepts of the line Y=-2x-21
Answer:
-21
Step-by-step explanation:
GIven data
We are given the equation of a line as
Y=-2x-21
let us compare this with the general equation of a line
y=mx+c
from the comparison, we can see that the intercept is -21
Therefore, the intercept is -21
Dave sold 60 general and reserved tickets for a concert. He sold general tickets for $10 each and reserved tickets for $15 each collecting a total of $725. Write a system of equations to determine the number of tickets he sold at each price and solve your system of equations?
Answer:
The system is of equations is:
[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]
Where g is the amount of general tickets and r is the amount of reserve tickets.
35 general tickets and 25 reserve tickets were sold.
Step-by-step explanation:
Let general tickets be represented by g and reserved tickets be represented by r.
Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:
[tex]10g+15r=725[/tex]
And a total of 60 tickets were sold. Hence:
[tex]g+r=60[/tex]
Our system of equations is:
[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]
We can solve by substitution. First, divide both sides of the first equation by 5:
[tex]2g+3r=145[/tex]
Next, we can subtract a variable (r in this case) from the second equation:
[tex]g=60-r[/tex]
Substitute:
[tex]2(60-r)+3r=145[/tex]
Distribute:
[tex]120-2r+3r=145[/tex]
Simplify:
[tex]120+r=145[/tex]
Subtract:
[tex]r=25[/tex]
Using the previous equation:
[tex]g=60-r[/tex]
Substitute and evaluate:
[tex]g=60-(25)=35[/tex]
So, 35 general tickets and 25 reserve tickets were sold.
Marco’s model bridge is 9 centimeters taller than Sho’s model bridge. If Sho’s bridge is 31 centimeters tall, which equation could be solved to find the height of Marco’s bridge?
Answer:
31-9
Step-by-step explanation:
hers is 31 so if marcos is 9 in taller you just subtract it to get the height of his
Which expression is equivalent to 4(m+2)?
Answer:
=4m+8
Step-by-step explanation:
=(4)(m+2)
=(4)(m)+(4)(2)
=4m+8
Answer:
4m +8
Step-by-step explanation:
Take out the parenthesis
Solve |3x + 9| + 6 = 6 Question 4 options: A) x = –3 B) x = 3 or x = –3 C) No solutions D) x = 3
Answer:
A) x = -3
Step-by-step explanation:
|3(-3) + 9| = 0
|-9 + 9| = 0
|0| = 0
0 = 0
Answer:
A)x=−3
Step-by-step explanation:
Step 1: Add -6 to both sides.
|3x+9|+6+−6=6+−6
|3x+9|=0
Step 2: Solve Absolute Value.
|3x+9|=0
We know 3x+9=0
3x+9=0(Possibility 1)
3x+9−9=0−9(Subtract 9 from both sides)
3x=−9
3x /3 = −9 /3
(Divide both sides by 3)
x=−3
how many rhombuses in a trapezoid?