Answer:
A
Step-by-step explanation:
Given
[tex]\frac{m+2}{(m-4)^2}[/tex] - [tex]\frac{m-2}{(m-4)^2}[/tex]
Since the denominators are common then express as a single fraction
= [tex]\frac{m+2-(m-2)}{(m-4)^2}[/tex]
= [tex]\frac{m+2-m+2}{(m-4)^2}[/tex]
= [tex]\frac{4}{(m-4)^2}[/tex] → A
The sum of 6 consecutive integers is 339.
Answer:
54, 55, 56, 57, 58, and 59 are the numbers
Step-by-step explanation:
Let's pretend that the first number is [tex]n[/tex].
We know that these numbers are consecutive, meaning each number is one more than the other.
This means that
[tex]n + (n+1)+ (n+2)+ (n+3)+ (n+4)+ (n+5) = 339[/tex], since each number is consecutive.
We can combine like terms to get [tex]6n + 15 = 339[/tex].
Now let's solve for n.
[tex]6n + 15 - 15 = 339-15\\\\6n = 324\\\\n = 54[/tex]
So [tex]n=54[/tex]. This means the other 5 digits will be one more than the next.
So 54, 55, 56, 57, 58, and 59.
Hope this helped!
In each problem 7 through 14, verify that each given function is a solution of the differential equation. Y" - y = 0; y1(t) = et, y2(t) = cosh t.
Answer:
Since L.H.S = R.H.S = 0, for both [tex]y_{1} (t) = e^{t}[/tex] and [tex]y_{2} (t) = cosh(t)[/tex], y₁ and y₂ both satisfy the equation y" - y = 0 and are thus solutions to the differential equation.
Step-by-step explanation:
To check whether the given functions are solutions the given differential equation, we differentiate the functions and then insert it into the given equation.
So y" - y = 0 and
[tex]y_{1} (t) = e^{t}\\y_{1}' (t) = e^{t}\\ y_{1}" (t) = e^{t}[/tex]
Substituting these values of y and y" into the left hand side of the equation, we have
y" - y
[tex]y_{1}" (t) - y_{1} (t) = e^{t} - e^{t} = 0[/tex]
Since L.H.S = R.H.S
So [tex]y_{1} (t) = e^{t}[/tex] is a solution of the differential equation.
When
[tex]y_{2} (t) = cosh(t)\\ y_{2}'(t) = sinh(t) \\y_{2}"(t) = cosh(t)[/tex]
Substituting y and y" into the left hand side of the equation, we have
y" - y
[tex]y_{2}"(t) - y_{2} (t) = cosh(t) - cosh(t) = 0[/tex]
Since L.H.S = R.H.S
So, [tex]y_{2} (t) = cosh(t)[/tex] is a solution of the differential equation.
Solve for :
-18.43 = 3.99 + x
Answer: [tex]x=-22.42[/tex]
Simplify both sides of the equation
[tex]-18.43=x+3.99[/tex]
Flip the equation
[tex]x+3.99=-18.43[/tex]
Subtract 3.99 from both sides
[tex]x+3.99-3.99=-18.43-3.99\\x=-22.42[/tex]
I need help answering this question 8x + 5y= 40 .
Answer:
x=5
y=0
There are a lot of different answers to. Do you have answer choices?
24,200 reduced by 1/5
Answer:
19,360
Step-by-step explanation:
1/5 is .2, or 20%. So we multiply the number by .8 to have 80% of the original.
24,200*.8=19360
Help I will mark you brainiest Layla buys 4.5 pounds of turkey from the butcher. The turkey costs $2.88 per pound. What is the total price of the turkey?**
Answer:
$12.96
Step-by-step explanation:
4.5 x 2.88 = $12.96
hope this helped!
Answer:
$12.96
Step-by-step explanation
One pound of turkey is $2.88 but you need 4.5 pounds do
$2.88 x 4.5 and you should get
$12.96
is 0.621621621 rational ?
Answer:
yes, as long as the numbers do not go on forever.
Step-by-step explanation:
Solve the system of equations below.
x - y = 5
2x - 3y = 4
(5,0)
(7,2)
(9,4)
(11,6)
Answer:
Step-by-step explanation:
-2x + 2y = -10
2x - 3y = 4
-y = -6
y = 6
2x - 18 = 4
2x = 22
x = 11
(11, 6)
Antoni drives a taxi £4 fixed cost+ 60p per mile How much does he charge for 12 miles
Answer:
£ 11.20
Step-by-step explanation:
Cost of charge per mile = 60 p
Cost of charge for 12 miles = 0.60 * 12
= £7.20
Charge paid by Antoni = 4 + 7.20 = £ 11.20
What is the image point of (6,8)(6,8) after a translation right 5 units and up 3 units?
Answer:
11,11 I believe this is the answer.
The new coordinate of the image of the point is (11,11).
What is Transformation?Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.
The point coordinate is (6,8)
The translation is right 5 units and up 3 units
The x coordinate is shifted 5 units to the right, (x+5)
and the y units is shifted 3 units up, y+3
(6+5, 8+3)
(11,11)
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What is the solution to -6z=72 1) 12 2) 9 3) -9 4) -12
Step-by-step explanation:
-6z = 72
z = 72/(-6)
= -12
4) -12
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 12}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 6z = 72}[/tex]
Divide both sides by -6
[tex] \dashrightarrow{ \sf{ \frac{ - 6z}{ - 6} = \frac{72}{ - 6} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{z = - 12}}[/tex]
Hope I helped!
Best regards! :D
5 people can claim joint ownership of an item and intend to divide it by the method of sealed bids. The winner offers a bid of $66,000 how much will that bidder need to put into a kitty for the other bidders to be compensated?
Do not include $signs with your response.
Answer:
16,500
Step-by-step explanation:
5-1 (the bidder) = 4 divided by 66,000 = 16,500
The number of amount that bidder need to put into a kitty for the other bidders to be compensated is 52,800
Important information:5 people can claim joint ownership of an item and intend to divide it by the method of sealed bids. The winner offers a bid of $66,000
Calculation of amount:[tex]= 66,000 - (66,000 \div 5)[/tex]
= 66,000 - 13,200
= 52,800
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A group project in an intro stats project looks at the cost of gasoline. Students recorded the cost per gallon at a nearby gas
station over a period of 10 weeks and want to make a time plot. What variable goes on the horizontal axis?
Choose the correct answer below.
Time (week 1 - Week 10)
Day of the week the cost was recorded (Sun - Sat)
Cost per gallon
Answer:
Time (week 1 - week 10)
Step-by-step explanation:
Given
Measure of cost of gasoline over a period of time
Required
Determine what variable belongs to the horizontal axis
To answer this question, I'll re-echo the given parameters again
Measure of cost of gasoline over a period of time
This can be rephrased to be
Measure of cost of gasoline with respect to time
This means that the cost of gasoline is a function of time (10 weeks, to be precise).
Hence;
Cost will be on the vertical axis
Time will be on the horizontal axis
Conclusively,
The first option answers the question
7,434 is divisible by 6. True or false?
answer fast!!!
Answer:
1239
Step-by-step explanation:
7434/6
Do long division
35-2.4(7-5)
What is the answer to this question
me ayudan por favor es para mañana pero lo necesito ahora me ayudan
Answer:
1) 11/10= 1 1/10
2)17/15= 1 2/15
3)10/10= 1
4)11/10= 1 1/10
5)9/18= 1/2
Is the sum of two binominals is always a binomial? Why or why not?
Answer:
No
Step-by-step explanation:
Algebraic Terms:
1. Monomial - an algebraic term
2. Binomial - the sum of 2 algebraic terms
3. Trinomial - an algebraic sum in 3 terms
4. Polynomial - a function in more than 1 algebraic term
The sum of 2 binomials is not always a binomial because each of the two binomials might have different algebraic terms.
If the first binomial has 2 algebraic terms and the second binomial has 2 other algebraic terms and no single term crosses out its coefficients, the sum of both binomials will not be a binomial.
(a) An angle measures 27°. What is the measure of its complement?
(b) An angle measures 53°. What is the measure of its supplement?
measure of the complement:
X
$
measure of the supplement:
Please help
Answer:
a) 63°
b) 127°
Step-by-step explanation:
Complements are 90° while supplements are 180°.
So you need to find the complement of 27°. So, 90-27=63
To find the supplement, it is 180-53=127
3. A drone takes off from the base of a mountain at a height of 27 ft below sea level. The drone
then flies up 642 ft before landing at the top of the mountain. How tall is the mountain?
Answer:
669ft high
Step-by-step explanation:
642+27=669ft
The height of the mountain is 669 ft.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
For example 4 -2 = 2
A drone takes off from the base of a mountain at a height of 27 ft below sea level.
To determine the height of the mountain.
Using the arithmetic operations of addition and subtraction,
The drone then flies up 642 ft before landing at the top of the mountain.
Assume that distance below sea level is positive,
So the height of the mountain as
⇒ 642 + 27
⇒ 669 ft
Hence, the height of the mountain is 669 ft.
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Please help, I think I know the answer am I correct? +90 + -77
I got= -13
Try to make 0.90 cents using exactly 11 coins. What are the coins?
Answer:
3 quartars 2 nickles 4 pennnies 2 half-pennies
Step-by-step explanation:
I need help no one helps me never
Answer:
E
Step-by-step explanation:
they all equal the same thing
hope this helps :)
What is the point-slope form given the following slope and a point on the line? m = 3/7 , (7, -4)
Answer:
The equation is y = (3/7)x - 7.
Step-by-step explanation:
Given that the point slope form of an equation is y = mx + b where m represents the gradient and b is the y-intercept. Then, you have to substitute the following values into the equation :
[tex]y = mx + b[/tex]
[tex]let \: m = \frac{3}{7} ,x = 7,y = - 4[/tex]
[tex] - 4 = \frac{3}{7} (7) + b[/tex]
[tex] - 4 = 3 + b[/tex]
[tex] - 4 - 3 = b[/tex]
[tex]b = - 7[/tex]
What is the value of x in the equation?
Answer:
[tex]x=56[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\frac{2(x+4)}{3}-8=32[/tex]
First, add 8 to both sides. The left cancels:
[tex]\frac{2(x+4)}{3}=40[/tex]
Multiply both sides by 3. The left cancels:
[tex]2(x+4)=120[/tex]
Divide both sides by 2:
[tex]x+4=60[/tex]
Subtract 4 from both sides:
[tex]x=56[/tex]
And we are done!
largest to smallest 4 3/5 -17 3/5 -14 5/5
Answer:
4 3/5, -14 5/5, -17 3/5
Step-by-step explanation:
What value of x is in the solution set of 2x - 3> 11 - 5x?
-3
0
02
4
The solution set for this inequality is {x | x > 2}
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the inequality:
2x - 3 > 11 - 5x
We can start by simplifying the expression on both sides:
2x - 3 > 11 - 5x
Adding 5x to both sides
7x - 3 > 11
Adding 3 to both sides
7x > 14
Dividing both sides by 7
x > 2
This means that any value of x greater than 2 will make the inequality true.
Thus,
The solution set for this inequality is {x | x > 2}
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What is the value of the expression below when z = 4?
10z - 3
Answer:
Your correct answer is 37
Step-by-step explanation:
Evaluate for z = 4
(10)(4)−3
(10)(4)−3
= 37
Mika taught her sister the steps for dividing a decimal by a decimal. Which instructions are correct? 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Multiply the dividend by a multiple of 10 to create an integer. 2. Multiply the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Divide the divisor by a multiple of 10 to create an integer divisor. 2. Divide the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Divide the dividend by a multiple of 10 to create an integer. 2. Divide the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
Answer: its A
1. Multiply the divisor by a multiple of 10 to create an integer divisor.
2. Multiply the dividend by the same multiple of 10 as step 1.
3. Divide, and apply the rules for dividing signed numbers.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Test weather 167 is prime
Answer:
167 is a prime number
Step-by-step explanation:
coz 167 is not divided by any no except 1 or itself
scientific notation for 38,550
Answer:
3.855x 10^4
Step-by-step explanation:
Hope this helps.