The fraction 25/6 is approximately equal to 4.17 as a decimal.
We have,
To find the decimal equivalent of 25/6, we perform the division operation:
25 ÷ 6 = 4.166666...
The division result is a recurring decimal, which means it continues indefinitely without repeating.
However, to represent it in decimal form, we can round it to a certain number of decimal places.
Rounding to two decimal places,
The decimal equivalent of 25/6 is approximately 4.17.
Therefore,
25/6 is approximately equal to 4.17 as a decimal.
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If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.
Answer:
[tex](7,-11)[/tex]
Step-by-step explanation:
Given
[tex]S = (1,5)[/tex]
[tex]M = (4,-3)[/tex]
Required
Determine the coordinates of T
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (4,-3)[/tex]
[tex](x_1,y_1) = (1,5)[/tex]
Substitute these values in the above formula:
[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]
Multiply through by 2
[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]
[tex](8,-6) = (1 + x_2,5+y_2)[/tex]
By direct comparison:
[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]
Solving for x2
[tex]1 + x_2 = 8[/tex]
[tex]x_2 = 8 - 1[/tex]
[tex]x_2 = 7[/tex]
Solving for y2
[tex]5 + y_2 = -6[/tex]
[tex]y_2 = -6 - 5[/tex]
[tex]y_2 = -11[/tex]
Hence, the coordinates of T is: [tex](7,-11)[/tex]
write the slope- intercept form of the equation of the line described
through (4,5) parallel to y= 1/4x-4
Answer:
Step-by-step explanation:
You get the slope right away, just by reading it.
y = 1/4 x + b
To solve for b, you use the point 4,5
5 = 1/4 * 4 + b Substitute 4 for x
5 = 1 + b Subtract 1 from both sides
5-1 = 1-1 + b
b = 4
The line is y = 1/4 x + 4
Write a division problem that has a quotient of 12.
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 12.
Four friends attend a school play and pay $6.75 per ticket. Each also buys a Healthy Snack Bag sold by the Theater Club. If the friends spent a total of $37.00, how much did each Healthy Snack Bag cost, b? Write and solve an equation. (sorry about the wrong grade btw)
Answer:
$2.5
Step-by-step explanation:
Multiply 4 friends by $6.75 and find the product.
Subtract $27 from $37
Divide 10 by 4
Answer: $2.5
Step-by-step explanation:
Multiply 4 friends by $6.75 and find the product.
Subtract $27 from $37
Divide 10 by 4
PLEASE HELP!! Serious answers only please!!
Use the expression 9i+2(7+3i) to answer this question!
Which property or properties should you use to simplify this expression?
Apply those properties to each term
Answer:
Step-by-step explanation:
Use the distributive property to get rid of the brackets.
9i + 2*7 + 2*3i Use the multiplication property to simplify the imaginary terms
9i + 2*3i + 2*7 Do the same to the real term
9i + 6i + 14 Use the addition of like terms property
15i + 14 And that's your answer.
You may not like my terminology, but you have to remember that every text teaches this differently.
B.6 Based on Activity B, define phrase, clause and sentence.
Phrase:
Clause:
Sentence:
Answer:
Phrase:they are small groups standing together as a conceptual unit
Clause:it is a unit of grammatical organization next below the sentence in rank
Sentence: it is a set of words that is complete in itself
Suppose the price of one item was $12, and the price of another item was $20. What would figuring out a common multiple of 12 and 20 tell you?
Answer:
hi
Step-by-step explanation:
I think the answer is a number
Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,
The cost of 5 one-item is equal to the cost of 3 another-item.
The cost of 10 one-item is equal to the cost of 6 another-item.
What is a factor?A factor is a number that divides another number, leaving no remainder
We have,
Cost of one-item = $12
Cost of another-item = $20
We can find out some common multiple of both the numbers 12 and 20.
12 x 1 = 12 20 x 1 = 20
12 x 2 = 24 20 x 2 = 40
12 x 3 = 36 20 x 3 - 60
12 x 4 = 48 20 x 4 = 80
12 x 5 = 60 20 x 5 = 100
12 x 7 = 84 20 x 6 = 120
12 x 8 = 96
12 x 9 = 108
12 x 10 = 120
We see that we have two common multiples from the above multiples.
i,e 60 and 120
Now,
The factor in the multiples are:
12 x 5 = 60
12 x 10 = 120
20 x 3 = 60
20 x 6 = 120
This means that,
The cost of 5 one-item is equal to the cost of 3 another-item.
The cost of 10 one-item is equal to the cost of 6 another-item.
Thus,
Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,
The cost of 5 one-item is equal to the cost of 3 another-item.
The cost of 10 one-item is equal to the cost of 6 another-item.
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Which situation cannot be represented by the equation 15 + x = 25?
Victor and Raul donated 25 cans of fruit to their local food bank. Victor donated 15 cans. What is, x, the number of cans Raul donated?
The day's low temperature read 15ºF. The day's high temperature read 25ºF. What is x, the amount of degrees the temperature increased throughout the day?
Jean has $25. She found $15 of the amount in her wallet and the rest in her coat pocket. What is x, the amount of money in her coat pocket?
Elizabeth worked 15 hours. Josh worked 25 hours. What is x, the amount of hours they worked together?
Answer:
the last answer about the jobs
Step-by-step explanation:
Doug rents a kayak for 12 days. The rental charge is $18 per day. Which is the
best estimate for the total cost of the kayak rental?
Answer:
Yes
Step-by-step explanation:
The cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%. What is the total cost of the hotel room?
Answer:
$359.13
Step-by-step explanation:
To find the total cost of her room we have to add the cost of the tax to the cost of the room.
To find the value of the tax, multiply the value of the room(325) by 10.5%:
Convert 10.5% to decimal form: 0.105
0.105 * 325 = 34.125
34.125 rounds up to 34.13.
Now, add the cost of the tax to the room's cost:
34.13 + 325 = 359.13
The total cost of the hotel room is $359.13.
The cost of a hotel room during Lacy’s trip is $325 and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that the cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%.
The total cost of the hotel room is,
Total cost = hotel room tax + cost of a hotel room
Total cost = 10.5% of $325 + $325
Total cost = $ 34.12 + $325
Total cost = $ 359.13
Thus, the cost of a hotel room during Lacy’s trip is $325, and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.
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May u please help me ill give out the brainly
Answer:
24x+18y+10
Step-by-step explanation:
start by distributing so 6*4x and 6*3y
that give you 24x+18y+10
3
2
Show gred
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sin - cos - tan-
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log-e? 10
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Show less
Answer:
The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
Step-by-step explanation:
We need to calculate the gradient of the graph
The gradient of graph is actually slope of the graph.
The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Taking any 2 points on graph i.e
(1,0) and (-1,-3)
We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]
Putting values and finding gradient:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]
So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
A boat rental company offers two different rental packages. The first rental package costs $45, plus $29.50 per hour. The second rental package costs $90, plus $0.70 per hour. Which answer choice best approximates the number of rental hours at which the boating packages cost the same amount?
Answer:
$90
Step-by-step explanation:
pleaseee I need help
Answer:
whith whut
Step-by-step explanation:
A recipe for punch requires 8 quarts of orange juice concentrate, 2 quarts of cranberry juice, and enough water to make a total of 14 quarts of punch. How much water is needed for this recipe?
Find d^2y/dx^2 if 5x^3 - y^3 = 25
A. -250x/y^5
B. (10x(y^2-x))/y^3
C. 5x^2/y^2
D. (10(y^2-5x^4))/y^3
E. 30x - 6y
Answer:
[tex]y''=\frac{-250x}{y^5}[/tex]
Choice A.
Step-by-step explanation:
We are given:
[tex]5x^3-y^3=25[/tex]
We are asked to find:
[tex]\frac{d^2y}{dx^2}[/tex]
This requires we first find:
[tex]\frac{dy}{dx}[/tex]
Let's begin.
We will differentiate the right hand side using the constant rule since 25 is just a constant. We will differentiate the left hand side using difference rule and then constant multiple rule and then power rule and chain rule.
[tex](5x^3-y^3=25)'[/tex]
[tex](5x^3-y^3)'=(25)'[/tex]
[tex](5x^3)'-(y^3)'=0[/tex]
[tex]5(x^3)'-(y^3)'=0[/tex]
[tex]15x^2-3y^2y'=0[/tex]
Now let's solve for [tex]y'[/tex].
Add [tex]3y^2y'[/tex] on both sides:
[tex]15x^2=3y^2y'[/tex]
Divide both sides by [tex]3y^2[/tex]:
[tex]\frac{15x^2}{3y^2}=y'[/tex]
Symmetric property of equality:
[tex]y'=\frac{15x^2}{3y^2}[/tex]
Simplify right hand side:
[tex]y'=\frac{5x^2}{y^2}[/tex]
Now let's find the second derivative by differentiating both sides of this equation. We will use the quotient rule on the right hand side:
[tex]y''=\frac{(5x^2)'y^2-5x^2(y^2)'}{(y^2)^2}[/tex]
[tex]y''=\frac{10xy^2-5x^2(2yy')}{y^4}[/tex]
We can replace [tex]y'[/tex] with [tex]\frac{5x^2}{y^2}[/tex]... since we just got this result before differentiating both sides of an equality again.
So we have:
[tex]y''=\frac{10xy^2-5x^2(2y\frac{5x^2}{y^2})}{y^4}[/tex]
Let's simplify the 2nd term on top by cancelling a common factor of y in that term from top and bottom:
[tex]y''=\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
We still don't like having this compound fraction (a mini fraction inside a bigger fraction). Let's get rid of that...Multiply numerator and denominator by [tex]\frac{y}{y}[/tex] for the big fraction to clear the mini fraction out.
[tex]y''=\frac{y}{y}\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
Distribute:
[tex]y''=\frac{10xy^3-5x^2(2)5x^2}{y^5}[/tex]
Simplifying a bit more:
[tex]y''=\frac{10xy^3-50x^4}{y^5}[/tex]
We could factor the top a bit... both terms on top of a common factor of [tex]10x[/tex]:
[tex]y''=\frac{10x(y^3-5x^3)}{y^5}[/tex]
Notice the thing in ( ) on top is the exact opposite of the left hand side of our original equation: [tex]5x^3-y^3=25[/tex].
This implies we can replace it with -25:
[tex]y''=\frac{10x(-25)}{y^5}[/tex]
[tex]y''=\frac{-250x}{y^5}[/tex]
please help me out -4x – 6 – 2x –3
Help I will give brainliest
An elevator is on Level 3, which is 45.25 meters
above the ground. It travels to the basement
level, which is 10.42 meters underground.
What is the total distance, in meters, that the
elevator traveled?
Enter your answer as a decimal in the box.
Answer:
55.67 m
Step-by-step explanation:
You just add the two numbers to get the total distance traveled.
g(x) = 2x^3+ 2x^2– 4x – 9
find g(-3)
Answer:
-33
Step-by-step explanation:
I hope this is correct, and I apologize in advance if it isn't :(
Answer:
g(-3) = -33
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = 2x³ + 2x² - 4x - 9
g(-3) is x = -3
Step 2: Evaluate
Substitute: g(-3) = 2(-3)³ + 2(-3)² - 4(-3) - 9Exponents: g(-3) = 2(-27) + 2(9) - 4(-3) - 9Multiply: g(-3) = -54 + 18 + 12 - 9Add: g(-3) = -36 + 12 - 9Add: g(-3) = -24 - 9Subtract: g(-3) = -33What is the measure of /__B? Type the number only
Answer: I believe it would be 30
Step-by-step explanation:
A=X
B=Y
C=Z
What is a number that could be placed in the blank to complete this set from least to greatest?
2/5, 1/2,----,6/8
Answer:
4/10, 5/10, 6/10
I'm guessing 6/10 simplified into 3/5
Find the 15th term in the arithmetic sequence 7, 10, 13, 16, 19,... Question 4 options: 49 42 35 52
Answer:
49
Step-by-step explanation:
first you find the difference between the first two numbers so we do 10-7=3, then plug in 3 for the next 2 numbers 10+3=13, so we know our rule is +3 so now we do 3*14=42 then we do 7+42=49
413÷19= divide then check using multiplication
The height (in feet) of a certain rocket t seconds after it leaves the ground is modeled by
h(t) = - 16t^2 + 48t. What is the shortest time it takes the rocket to reach a height of 35feet. Be
sure to include units. Round to the hundredths place.
Answer:
The answer is 1/2 second
Step-by-step explanation:
Hope this helps
Find the missing angle.
200
180
A
100
B
50
SO
D) 70
Answer:
the answer is c) 80
all angles of the Triangle will have a sum of 180. 80+20=100 ... 180-100= 80
find the missing lengths and leave answers as radicals in simplest form
Answer:
x=8[tex]\sqrt{3}[/tex]
y=8
Step-by-step explanation:
lmk if you need work
YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3
Answer:
y=5x-3
Step-by-step explanation:
it just is
Answer:
y=5x-3
Step-by-step explanation:
using completing the square method in quadratic equation 5x²+ 11x + 2=0
Answer:
x= 1/5 or -2
Step-by-step explanation:
5x² +11x +2= 0
(Divide through by the coefficient of x²)
5x²/5 + 11x/5 + 2/5 = 0/5
x² + 11x/5 + 2/5 = 0
(take the constant to the other side)
x² + 11x/5 = -2/5
(Add 1/2 of the coefficisint of x all square to both sides)
x² + x + (11/5 × 1/2)² = -2/5 + (11/5 × 1/2)²
x² + x + (11/10)² = -2/5 + (11/10)²
x² + x + (11/10)² = -2/5 + 121/100
(eliminate x )
x² + (11/10)² = (20(-2) + 121 ) ÷ 100
(x + 11/10 )² = (-40 + 121) ÷ 100
(x + 11/10 )² = 81/100
(square both sides)
x + 11/ 10 =√(81/100)
x + 11/10 = 9/10
x = -11/10 +or- 9/10
x = -11/10 + 9/10 or -11/10 - 9/10
x = (-11 + 9) ÷ 10 or (-11-9) ÷ 10
x = -2/ 10 or -20/10
x = -1/5 or -2
simplyfy
5xxx
6xxxy
2xxx3xy
Answer:
5xxx + 2xxx +6xxxy + 3xy
7xxx + 6xxxy + 3xy
Step-by-step explanation:
Answer:
[tex]5x^3,6x^3y,6x^4y[/tex]
Step-by-step explanation:
First we write the x factors in exponential form (using powers)Just count the number of x and then use that number as the powerso [tex]5xxx=5x^{3}[/tex] since we have 3 x'sthen [tex]6xxxy=6x^3y[/tex] same as the firstFor the third one, group the numbers together and each letter with its group so [tex]2xxx3xy=2*3*xxxx*y[/tex] then multiply the numbers and change x in exponent formthen [tex]2*3*xxxx*y=6*x^4*y=6x^4y[/tex]