Answer:
-$240
Step-by-step explanation:
40 x 6 is 240 so it changed by -$240 since it was a withdrawal
Answer:
-40 * 6 = -240
Step-by-step explanation:
Withdrawing money creates a negative number. The weeks are a positive number. So, you get -40 * 6. A negative times a positive number gives you a negative number for an answer.
During a normal day, there are 280 planes taking off from the airport, but the airport is a lot busier during Christmas holiday, about 300 planes take off every day from the airport. During the Christmas holidays, the airport opens 10 hours during each day, how many planes take off from this airport in each hour?
Answer: Around 28 planes take off every hour
Step-by-step explanation: 336 / 12 = 28
Answer:
30 planes per hour
Step-by-step explanation:
Divide the number of plane takeoffs by the number of hours.
I’m being timed help!!!!!!!!!!!!!!
Answer:
[tex]\frac{1}{3} x-2[/tex]
Step-by-step explanation:
Answer:
y=1/3x-2
Step-by-step explanation:
HOPE THIS HELPS!!!! :)
<3333333333
I don't underestimate how to do this.
Hello! :)
Answer:
[tex]\huge\boxed{NP = 7}[/tex]
Given:
MP = 24
MN = 17
Write an expression to represent NP:
MP = MN + NP
24 = 17 + NP
Isolate NP:
24 - 17 = NP
NP = 7.
Answer:
7cm is the correct answer
Step-by-step explanation:
Hope this is helpful for you
-7x=-91 i dont understand this question
Answer:
x=-13
Step-by-step explanation:
divide each term by -7 and simplify I think I hope that works let me know if it's not right
Find the domain of the function. (Enter your answer using interval notation.)
Answer:
The Domain should be (10,+infinity) as x>10
Step-by-step explanation:
(02.01)Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 degrees, what is the measure of angle M'? 40 degrees 45 degrees 50 degrees 130 degrees
Answer:
50°
Step-by-step explanation:
Transformation is the movement of one point from its initial location to a final location. If an object is transformed, all its points are transformed. Types of transformation is reflection, dilation, rotation and translation.
If an object is translated, it maintains its shape and size as well as the length of its sides and angles, only the location changes.
If polygon LMNP with ∠M of 50° is translated 5 units right and 4 units down to a new point, M' has the same angle measure. Hence ∠M' = 50°
need asap solve for x
Answer:
answer is 25
Step-by-step explanation:
x+2+153=180
x+155=180
x=180-155
x=25
hope this helps :)
PLZ HELP ME!!! THIS IS DUE TOMORROW!!!
1. Find the equation of the line that goes through the point (0,-3) and is perpendicular to the line y= -2/5x+6.
2. Find the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (0,7) .
Answer:
1. y = (-5x/2) + -3
2. y = (3x/2) + 7
Step-by-step explanation:
For both these problems, we simply need to apply point-slope form.
1. The point (0, -3) and the slope that is perpendicular to the line is the reciprocal of the coefficient, slope = -5/2.
From here, we simply apply the formula:
y - y0 = m ( x - x0)
y - -3 = -5/2 ( x - 0 )
y + 3 = -5/2 x
y = (-5x / 2) + -3
2. The point (0, 7) and the slope that is parallel to the line must maintain the same slope. First, we need to rewrite the equation into slope-intercept:
-3x + 2y = 10
2y = 3x + 10
y = 3x/2 + 5
Now we want to apply the point-slope form
y - y0 = m ( x - x0 )
y - 7 = (3/2) (x - 0)
y - 7 = 3x / 2
y = 3x/2 + 7
Cheers.
What's (-8)+(-5) Thanks for taking the time to help me!
Answer:
-13
Step-by-step explanation:
Answer:
-13 is your answer
when a negative and a positive are next to each other they equal and negative l. So your final equation would be -8-5
What is the 45th term of the sequence generated by the formula (-1) 2n+1 ?
Answer:
−0.989010989010
Step-by-step explanation:
what is the 45th term of a sequence generated by the formula tn=(-1)^n * (2n/2n+1)?
When n= 45
tn=(-1)^n*(2n/2n+1)
tn = (-1)^45 * ( 2(45) / 2(45) + 1
= -1 * 90 / (90+1)
= -90 / 91
= −0.989010989010
The 45th term of the sequence generated by the formula tn=(-1)^n*(2n/2n+1) is −0.989010989010
X=−4a 2 +3ab+12b 2 Y=9a 2 +ab−7b 2 Y+X=Y+X=Y, plus, X, equals
Answer:
5a
2
+4ab+5b
2
Step-by-step explanation:
step 1. (((0-(4•(a2)))+3ab)+(12•(b2)))+(((9•(a2))+ab)-7b2)
step 2. (((0-(4•(a2)))+3ab)+(12•(b2)))+((32a2+ab)-7b2)
step 3.(((0-(4•(a2)))+3ab)+(22•3b2))+(9a2+ab-7b2)
step 4. (((0-(4•(a2)))+3ab)+(22•3b2))+(9a2+ab-7b2)
step 5. 5.1 Factoring 5a2 + 4ab + 5b2
the amount of money, john earns for each shift he works at the bookstore is equal to the function f(h)=10 h, where h is the number of hours he works during his shift. Enter the value for f(h), the amount of money he earns for his shift, and the value for h, the number of hours how works during his shift, for each notation in order to complete the table and show the relationship between f(h) and h
with this information provided all we have to do now is substitute
[tex]f(1):\\h=1 \\f(h) = 10h\\f(1) = 10*1 = 10[/tex]
so, first row:
[tex]f(h)=10 \\ h=1[/tex]
we repeat the same process with the rest of the values
[tex]f(4.5)\\h=4.5\\f(h)=10h\\f(4.5)=10*4.5 = 45[/tex]
second row:
[tex]f(h)=45\\h=4.5[/tex]
repeat that once more
[tex]f(10)\\h=10\\f(h)=10h\\f(10)=10*10= 100[/tex]
third and final row:
[tex]f(h)=100\\h=10[/tex]
and we're done, hope this helps. <3
Lucero dibujo las diagonales de un polígono regular y se dio cuenta que tiene que trazar 7 diagonales más que el numero de lados. ¿cuanto es la suma de ángulos internos de ese polígono?
Answer:
The sum of all internal angles of this polygon is: [tex]900^o[/tex]
Step-by-step explanation:
Recall that the formula for the number of diagonals of a polygon with n-sides is given by the formula:
[tex]diagonals=\frac{n\,(n-3)}{2}[/tex]
and since Lucero noticed that the number of digonals was 7 more that the number of sides, then, these two quantities (n + 7) and the number of diagonals must be equal. we can set an equation stating such, and solve for "n" (number of sides of the polygon):
[tex]n+7=\frac{n\,(n-3)}{2} \\2(n+7)=n(n-3)\\2\,n+14=n^2-3\,n\\n^2-3\,n-2\,n-14=0\\n^2-5\,n-14=0\\(n-7)\,(n+2)=0\\[/tex]
therefore n = 7 or n = -2
The only answer with meaning is the first one (7 sides), since a polygon must have a positive number of sides.
Now that we know the number of sides of the polygon, we can find what the sum of its internal angles should give, based on the equation;
Addition of internal angles of a polygon is = [tex](n-2)\,180^o[/tex]
Which in our case renders:
[tex](n-2)\,180^o=(7-2)\,180^o= 5\,(180^o) = 900^o[/tex]
If x -√2=√8, then what is the value of x?
Answer:
x = 3[tex]\sqrt{2}[/tex]
step-by step:
x -√2=√8
x = [tex]\sqrt{12}[/tex]
x = [tex]\sqrt{6 * 2}[/tex]
x = [tex]\sqrt{2 * 2 * 3}[/tex]
x = 3[tex]\sqrt{2}[/tex]
Answer:
x = 3 sqrt(2)
Step-by-step explanation:
x -√2=√8
Add sqrt(2) to each side
x - sqrt(2) + sqrt(2) = sqrt(8)+ sqrt(2)
x = sqrt(8)+ sqrt(2)
Rewriting sqrt(8) as sqrt(4) sqrt(2) = 2 sqrt(2)
x = 2 sqrt(2)+ sqrt(2)
x = 3 sqrt(2)
Write an absolute value equation that has the solutions 2 = 8 and x = 18.
The equation is:
:))
Answer:
Absolute value equation: |x - 13| = 5
Step-by-step explanation:
The midpoint between 8 and 18 is;
(8 + 18)/2 = 26/2 = 13
This means that the distance between 13 and either 8 or 18 will be 5.
Now, the absolute value equation will have to say that the distance between x and 13 is 5.
Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.
This gives us the absolute value equation: |x - 13| = 5
2 minus 6 divided by 6
Answer:
1
Step-by-step explanation:
2-6/6
You divide before subtraction
2-1
1
The length of the hypotenuse of a right triangle is 30 inches. The length of one leg is 27 inches. To the nearest tenth, what is the length of the
other leg?
The length of the other leg is 13.1
Given.
The length of the hypotenuse of a right triangle is 30 inches.
The length of one leg is 27 inches.
To the nearest tenth, we need to find the length of the other leg.
What is a Pythagorean theorem?It states that in a right-angled triangle the square of the hypotenuse is equal to the square of the other two sides.
We have,
Length of the hypotenuse = 30 inches.
Length of One leg = 27 inches.
Let the length of the other leg be x.
Now,
Applying the Pythagorean theorem.
30² = 27² + x²
900 = 729 + x²
Subtracting 729 on both sides
900 - 729 = 729 + x² - 729
171 = x²
x² = 171
x = 13.07669
Rounding to the nearest tenth
We get,
x = 13.1
Thus the length of the other leg is 13.1
Learn more about the finding length of a side of a right-angled triangle here:
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James just won the lottery for $30 million! He has two choices: first, he may receive $15 million today, or he may receive equal payments of $1 million a year for the next 30 years. Currently, the discount rate that he could invest the $15 million is 7% compounded annually. What should James do?
Answer:
The best option is the first one. It provides a higher present value.
Step-by-step explanation:
Giving the following information:
Option 1:
Receive $15,000,000 today.
Option 2:
Receive $1,000,000 for 30 years.
Discount rate= 7% compounded annually
To compare both options, we need to calculate the present value of Option 2. The option with the higher present value is the most convenient.
Option 2:
First, we need to determine future value:
FV= {A*[(1+i)^n-1]}/i
A= annual cash flow
FV= {1,000,000*[(1.07^30) - 1]} / 0.07
FV= $94,460,786.32
Now, the present value:
PV= FV/(1+i)^n
PV= 94,460,786.32 / (1.07^30)
PV= $12,409,041.18
The best option is the first one. It provides a higher present value.
The local meteorologist claims that the temperature is going to steadily drop over the next 4 hours. If the temperature changes by the same amount each hour, and it changes by a total of -28F, how much will it change each hour? Explain how you got your anwser im 2 or more complete sentences.
Answer:
The answer was obtained by first taking the measurement for the temperature drop, the duration of the temperature drop, and the rate at which the temperature is dropping which are -28 F, 4 hours, and dropping at a steady rate.
The measured temperature drop of -28 F, is then divided by the duration of the drop which is 4 hours, to get the amount the temperature drop each our as -28F/4 = -7 F per hour
Step-by-step explanation:
The rate at which the local meteorologist claims that the temperature is going to drop = Steady rate
The duration over which the local meteorologist states that the temperature is going to drop = 4 hours
The amount by which the temperature is observed to drop = -28F
The rate at which the temperature is observed to drop = The same amount each hour
Therefore, the temperature drop per hour = -28F/4 = -7 F per hour
Can somebody help? I can’t figure it out.
3 + 5n - 4n + 10 +3n
Answer:
4n+13
Step-by-step explanation:
Answer:
4n+13
Step-by-step explanation:
group all the like terms together to get 5n-4n+3n= n+3n= 4n, and group 3+10 together to get 13. the finished answer should be 4n+13
Which decimals are equivalent to (5 x 10) + (2x
? Select all that apply.
100
A. 50.020
B. 50.002
C. 5.02
D. 50.20
on E. 50.02
Starting with 13 grams of starch, what percentage is left when 6 grams remain? Write your answer to two decimal points.
Answer:
46.15%
Step-by-step explanation:
(6 ÷ 13) × 100 = 46.15384615
= 46.15%
Someone help? pretty sure it is inequalities
Answer:
[tex](-1,2,-1)[/tex]
Step-by-step explanation:
we already know that c= -1
we can substitute in 4b + c =7
[tex]4b+(-1)=7\\\\4b-1=7\\\\4b=7+1\\\\4b=8\\\\b=2[/tex]
we can substitute in a + b -5c = 6
[tex]a+(2)-5(-1)=6\\\\a+2+5=6\\\\a+7=6\\\\a=6-7\\\\a=-1[/tex]
so it is
[tex](-1,2,-1)[/tex]
Ami and Ria are playing a game where one of them would pick up a card and the other would guess the number. Ami picked up a card and read the rules to Ria which were: 1. It is an odd number 2. It is a composite number divisible by three different prime numbers. Which of the following would be Ria's correct guess? A: 30 B: 75 C: 189 D: 315
Step-by-step explanation:
Odd numbers from the list are 75, 189, and 315.
75, 189, and 315, are composite numbers.
Prime factorization of 75 = 3 × 5 × 5
Prime factorization of 189 = 3 × 3 × 3 × 7
Prime factorization of 315 = 3 × 3 × 5 × 7
315 is an odd number, and a composite number that is divisible by 3 different prime numbers.
The correct answer would be Option D 315
What are prime numbers in math?A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into other numbers. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Numbers that have more than two factors are called composite numbers.
Given here: The number must be odd and has three prime factors
In option D 315 its prime factorization is 315=3²×5×7
It has 3 different prime factors 3,5,7 and thus option D is the correct answer.
Hence, The correct answer would be Option D 315
Learn more about prime numbers here:
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The average low temperature by month in Nashville is represented by the function
f(x)=-1.4x2 + 19x +1.7, where x is the month. Find the average rate of change from March to
August.
Answer:
33Step-by-step explanation:
Given the average low temperature by month in Nashville is represented by the function f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19
d[f(x)]/dx = 2.8x + 19
Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get the average rate of change from March to August as shown;
d[f(x)]/dx at x = 5
= 2.8(5)+ 19
= 14 + 19
= 33
Hence the average rate of change from March to August is 33
Someone help me with this please!!
Answer:
plane WRT
Step-by-step explanation:
If someone could help me
Answers:
1a. nonlinear1b. nonlinear1c. linear1d. linearStep-by-step explanation:
A linear function must be straight. It can have a slope, but it must not curve.
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)Help PLease URGENT!! 10 POINTS
Answer:
1,3
2,4
5,5
Step-by-step explanation:
x,y
0,2
Answer:
(1,3),(2,4),(3,5)
Step-by-step explanation:
Remember that when plotting points, the x value comes first and then the y value.
Look at the graph, x value then y value, to find the point locations.
Cheers.
Mr. Barker saved his money for forty-seven years and had three million, seven hundred thousand, twenty-eight dollars in the bank. He used his money to go on an adventure and spent four hundred ninety-seven thousand, four hundred dollars. How much did he have left after his adventure?