Answers
Answer:
x-6
Step-by-step explanation:
The formula for the area of a rectangle is (l)(w)
x-5(w)=x²-11x+30
To solve, you need to put the quadratic equation into standard form
x-5(w)=(x-5)(x-6)
Divide both sides of the equation by x-5 to isolate the width(basically strike out x-5 on both sides)
the width is x-6
I pretty sure that's the right answer since (x-5)(x-6)=x²-11x+30, but I'm in geometry right now, and I had to go back and re-learn.
Related Questions
An element with a mass of 120 grams decays by 27.5% per minute. To the nearest tenth of a minute, how long will it be until there are 2 grams of the element remaining?
Answers
Answer:
12.7
Step-by-step explanation:
its right
It will take approximately 9.9 minutes until there are 2 grams of the element remaining.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the exponential decay formula to solve the problem.
The formula for exponential decay is:
[tex]A = A_0e^{-kt}[/tex]
where:
A₀ = initial amount
A = amount remaining after time t
k = decay rate constant
t = time
We can find the decay rate constant k using the given percentage decay per minute.
If the element decays by 27.5% per minute, then the decay rate constant is:
k = ln(1 - 0.275) = -0.3185
where ln is the natural logarithm.
Let's substitute the given values into the formula and solve for t:
[tex]2 = 120 e^{-0.3185t}[/tex]
Divide both sides by 120:
[tex]0.0167 = e^{-0.3185t}[/tex]
Take the natural logarithm of both sides:
ln(0.0167) = -0.3185t
t = ln(0.0167) / (-0.3185)
t ≈ 9.9 minutes (to the nearest tenth of a minute)
Therefore,
It will take approximately 9.9 minutes until there are 2 grams of the element remaining.
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20 points
About 50% of the students at a high school opted for Spanish classes and of these,
about 32% opted for both Spanish and German classes. What percentage of the
students opted for German classes given that they have also opted for Spanish?
Answers
Answer:
32%
Step-by-step explanation:
P(G/S) = P(G&S)/P(S)
= (0.32×0.5)/0.5
= 0.32
32%
The percentage of students who have opted for German classes among those who also chose Spanish classes is 32%. This is because 50% of the students chose Spanish, and of these, 32% also selected German classes.
The question revolves around the percentage of students at a high school who have opted for German classes among those who have opted for Spanish classes. To solve this, we consider that 50% of the students chose Spanish classes, and of those, 32% also chose German classes. This means that among the students who took Spanish, 32% is the percentage of students who elected to take German classes as well.
A bag contains 3 blue
marbles and 2 yellow marbles.
One example of independent
events using this bag of marbles is randomly selecting a blue marble,__________,and then
randomly selecting another
blue marble.
Fill in the blank above with
one of these:
a) Not replacing it
b) Replacing it
Answers
Answer:
a) replacing it
if you dont replace the marble there will be 1 less marble than before it will effect the possiblity
The probability of rolling an even number with a six-sided number cube
is about 1/2 . Choose the likelihood that best describes the probability
of this event.
Answers
Answer:
Equally likely
Step-by-step explanation:
Equally likely means that it’s a 50% percent chance on both sides meaning that equally likely Is the answer.
Answer:
likely
Step-by-step explanation:
If (x-2/3)=6 find the value of (x^3-8/xcube)
Answers
Answer:
(x-2)(x^2+2x+4)/x^3
Step-by-step explanation:
if you were doing for x let me know
Find the value of each numbered angle.
Answers
Answer:
See below.
Step-by-step explanation:
m < 1 = 180 - 125 = 55 degrees (adjacent angles),
m < 2 = 180 - 56 = 124 degrees (adjacent angles).
m < 3 = 124 - 55 = 69 degrees ( external angle of a triangle theorem).
Solve the equation below.
k - 6.2 = 24.8
Answers
Answer:
k = 31
Step-by-step explanation:
k - 6.2 = 24.8
+6.2 +6.2 (Add 6.2 to both sides to isolate the variable: k)
__________
k = 31
Answer:
31
Step-by-step explanation:
To find the value of k, you have to add 6.2 and 24.8 . To check your work, you subtract 31 by 6.2 and you'll get 24.8.
Which equation could be used to find the length of the hypotenuse?
Answers
Answer:
aaaaaaaaaaaaaaaaa
Step-by-step explanation:
i dont if i made it clear but the answer is A
Which list is in order from least to greatest?
9.4 x 10 -8, 9.25 x 10 -6, 2.5 x 10 3, 7 x 10 3
2.5 x 10 3, 7 x 10 3, 9.25 x 10 -6, 9.4 x 10 -8
9.25 x 10 -6, 9.4 x 10 -8, 7 x 10 3, 2.5 x 10 3
9.4 x 10 -8, 9.25 x 10 -6, 7 x 10 3, 2.5 x 10 3
Answers
Answer:
Step-by-step explanation:
last list
Answer:
it's the one at the bottom
Simplify.
- 2x - 5 – 5x + io + 3x
Enter your answer in the box.
Do not use decimals in your answer.
Answers
The temperature drops 10 degrees and then rises 10 degrees.
Write an addition expression that represents this situation.
Please answer ASAP
Answers
Answer:
10-10+10=10 degrees
With a tailwind, a aircraft can fly 360 miles in 3 hrs. Against this same wind, the aircraft can fly the same distance in 4hrs. Find the effect of the wind and the average of the aircraft
Answers
Answer:
15mph
Step-by-step explanation:
360 divide by 3 = 120
360 divide by 4 = 90
120 - 90 = 30
30 divide by 2 (cause boosting speed and drag) = 15
so let's check
120-15=105
105+15=120
105-15= 90
so the answer's 15.
To find the effect of the wind and the average speed of the aircraft, set up a system of equations and solve them simultaneously. The effect of the wind is a speed of 15 mph and the average speed of the aircraft is 105 mph.
Explanation:To find the effect of the wind and the average speed of the aircraft, we can set up a system of equations. Let's denote the speed of the aircraft as 'a' and the speed of the wind as 'w'. With a tailwind, the aircraft can fly 360 miles in 3 hours, so we have the equation 360 = (a + w) * 3. Against the wind, the aircraft can fly the same distance in 4 hours, so we have the equation 360 = (a - w) * 4.
Now, we can solve these equations simultaneously to find the values of 'a' and 'w'. Multiplying the first equation by 4 and the second equation by 3 gives us 1440 = (a + w) * 12 and 1080 = (a - w) * 12. Subtracting the second equation from the first equation eliminates the 'w' term, giving us 1440 - 1080 = (a + w) * 12 - (a - w) * 12. Simplifying further, we get 360 = 24w. Dividing both sides by 24 gives us w = 15. Substituting this value back into one of the original equations, we can find the value of 'a'. Using the equation 360 = (a + 15) * 3, we can solve for 'a' to get a = 105.
Therefore, the effect of the wind is a speed of 15 mph and the average speed of the aircraft is 105 mph.
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Which is closest to the circumference of the CD?
1. 18.84
2. 28.26
3. 37.68
4. 113.04
Answers
Answer:
,
Step-by-step explanation:
I will mark as brainliest. Please Help.
Find the equation of the tangent to the circle x²+y²=169 at the point (5,12)
Answers
Answer:
12y + 5x = 169
Step-by-step explanation:
Differentiate wrt x
2x + 2y(dy/dx) = 0
dy/dx = -x/y
At (5,12)
m = -5/12
y = (-5/12)x + c
12 = -25/12 + c
c = 169/12
y = (-5/12)x + 169/12
12y + 5x = 169
Answer:
y = [tex]\frac{-5}{12}[/tex] x +17
Step-by-step explanation:
We'll have to use calculus and differentiating to solve this.
Differentiate the given equation with respect to x:
x^2 + y^2 = 169
2x + 2y * (dy/dx) = 0
Solve for dy/dx:
dy/dx = -x/y
Now, what this derivative means is actually the slope of the tangent line at the point (x, y).
Substituting 5 in for x and 12 in for y, we get:
dy/dx = -5/12
So, the slope is -5/12
Now, we have a slope (m = -5/12) and a point (5,12), so we can write an equation in point-slope form, which is: [tex]y-y_1=m(x-x_1)[/tex], where (x_1, y_1) is the point and m is the slope. So, we have:
y - 12 = [tex]\frac{-5}{12}[/tex] (x - 12)
We can then solve for y (if you want): y = [tex]\frac{-5}{12}[/tex] x +17.
Hope this helps!
You acquired a 34.5 foot rope and are excited to string it between the ground and up a tree to create a delivery system. You need the rope to make a 25° angle with the ground. How high up the tree do you need to place the rope? Include a sketch that shows all known information and clearly shows what you need to find . Show all work and give the answer rounded to the nearest tenth of a foot.
Answers
The height of the tree is 14.5 ft.
Step-by-step explanation:
Let the height of the tree be 't'
The angle between the ground and the rope = 25°
Length of the rope = 34.5 ft.
To find :
The height of the tree.
We can use the sine to calculate the height of the tree.
sin 25° = t/34.5
sin 25° = 0.42
sin 25° = t/34.5
0.42 = t/34.5
t = 0.42 x 34.5
t = 14.5 ft.
The height of the tree is 14.5 ft.
Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third, and so on. On which day will Roberta jog 13 laps if the pattern continues.
Answers
It seems that she runs two more laps each day, so:
day 1- 3
day 2- 5
day 3- 7
day 4- 9
day 5- 11
day 6- 13
simple patterns baby
Final answer:
Roberta will jog 13 laps on the sixth day of her jogging routine, following the arithmetic sequence of adding 2 laps each day, starting with 3 laps on the first day.
Explanation:
The student is asking about a pattern in which Roberta jogs an increasing number of laps each day, with the sequence starting at 3 laps and increasing by 2 laps each subsequent day. To determine on which day Roberta will jog 13 laps, we can identify this as an arithmetic sequence with a common difference of 2. The first day is 3 laps, the second day is 5 laps, and this pattern continues. Following this sequence, the number of laps jogged by Roberta each day is:
Day 1: 3 lapsDay 2: 5 lapsDay 3: 7 lapsDay 4: 9 lapsDay 5: 11 lapsDay 6: 13 lapsThus, Roberta will jog 13 laps on the sixth day, if the pattern continues.
Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5
Answers
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
The question asks to find a trigonometric value for x given a trigonometric equation. Clear solution steps cannot be provided due to ambiguity in the equation's presentation. Normally, one would use trigonometric identities or methods like Newton's method to find x.
Explanation:The question requires us to find a numerical value of one trigonometric function of x given the equation tan2x - sin2x/sin2x = 5. Although the provided reference text contains various trigonometric contexts, it lacks direct relation to solving the given equation.
In order to solve for x, one would typically aim to manipulate the equation into a standard trigonometric identity or apply techniques such as Newton's method if handling a more complex algebraic expression involving trigonometric functions.
To tackle the given trigonometric equation, we would ideally express tan2x in terms of sin2x and cos2x using the identity tan2x = sin2x/cos2x, thus simplifying the equation and allowing us to isolate and solve for x.
Unfortunately, there is an ambiguity in the equation presented in the question (lack of clear parentheses), and so a definitive solution cannot be provided without clarification.
An 18-foot ladder reaches the top of
a building when placed at an angle of
45° with the horizontal. What is the
approximate height of the building?
Answers
Answer:
810 Feet Approximately.
Step-by-step explanation:
(r/s)(3) find the value.
Answers
—
s
hope it helps:)
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
Write an equation to determine the area, A, of the patio that will be painted.
A = (x + 18)(x + 35)
A = (x + 15)(x + 25) + 30
A = (x + 5)(x + 22)
A = (x + 25)(x + 15) − 30
Answers
Answer:
A = (x + 25)(x + 15) - 30
Step-by-step explanation:
This question is not complete without a figure; find the figure attached.
Marissa is painting a regular patio with dimensions as
Length = (x + 25) units
Width = (x + 15) units
Area of this rectangular patio = Length × Width
Area = (x + 25)(x + 15) unit²
She has to paint the patio except the bench that does not need to be painted.
Dimensions of the rectangular bench,
Length = 10 units
Width = 3 units
Area of the bench = 10×3 = 30 units²
Area of the patio to be painted = Area of patio - Area of bench
A = (x + 25)(x + 15) - 30
The Wing Station wants the average price of the lunch meal deals to be $8.
Lunch Meal Deal Prices
Item
Price ($)
Deluxe hamburger
$9
Reuben sandwich
$7
Chicken wings
Chicken stir fry
$9
Cobb salad
$6
Make your own sandwich
$10
What does the price of the chicken wings need to be for this to happen?
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
The price of chicken wings need to be $7 for the average price of the lunch meal deals to be that.
Step-by-step explanation:
Please kindly check the attached files for explanation
Answer:
B.) 7$
Step-by-step explanation:
Easier explanation
Find the simple interest on $8,000 at 4% interest for 2.5 years?
Answers
Answer:
800
Step-by-step explanation:
translate the points two left and six up
W(4,8)
X(3,-2)
Y(6,5)
Answers
Answer:
W'(2, 14)X'(1, 4)Y'(4, 11)Step-by-step explanation:
To translate 2 left, subtract 2 from every x-value.
To translate 6 up, add 6 to every y-value.
__
W' = W +(-2, 6) = (4-2, 8+6)
W' = (2, 14)
__
X' = X +(-2, 6) = (3-2, -2+6)
X' = (1, 4)
__
Y' = Y +(-2, 6) = (6-2, 5+6)
Y' = (4, 11)
Which shows the following expression after the negative exponents have been eliminated?
A)StartFraction m Superscript 7 Baseline n cubed Over m n Superscript negative 1 Baseline EndFraction, m not-equals 0, n not-equals 0
B)StartFraction m Superscript 7 Baseline n cubed n Over m EndFraction
m Superscript 7 Baseline n cubed m n
C)StartFraction m Superscript 7 Baseline n cubed Over m (negative n) EndFraction
D)StartFraction m n Over m Superscript 7 baseline n EndFraction
Answers
Answer:
its A
Step-by-step explanation:
Hence, the correct answer is (C)[tex]\frac{m^7.n^7}{mn^{-1}}[/tex]
What is an expression?a mathematical phrase that can contain ordinary numbers, variables, and operators.
How to solve?Given the expression [tex]\frac{m^7.n^7}{mn^{-1}}[/tex]
on simplification, if can be found,
=[tex]m^{7-1}.n^{3-(-1)}\\m^6.n^4[/tex]
which is the required answer.
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Solve the inequality.
5x - 7 < 8x + 8
The solution set is x |
Answers
Answer:
- 5 < x
Step-by-step explanation:
To solve, we need to isolate the variable: x
5x - 7 < 8x + 8
Subtract 5x from both sides
5x - 5x -7 < 8x -5x + 8
- 7 < 3x + 8
Subtract 8 from both sides
- 7 -8 < 3x + 8 -8
-15< 3x
Divide both sides by 3
- 15/3< 3x/3
- 5 < x
Answer:
-5 < x is correct, I double check her answer
A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.
What is the probability of choosing a letter from Q to T?
Write your answer as a fraction in simplest form.
1
Olox
5
?
Answers
Answer: 2/5
Step-by-step explanation: The total number of letters available to choose from is 10. You want to know the probability of 4 of those 10. So you divide 4/10. When you simplify that fraction it becomes 2/5.
The solution is 2/5
The probability of choosing a letter from Q to T is given by the equation
A = 2/5
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a letter from Q to T be represented as A
Now , the equation will be
Let the letters be represented as set 1 = { Q , R , S , T , U , V , W , X , Y , Z }
The total number of letters = 10 letters
The number of letters from Q to T = 4 letters
So , the probability of choosing a letter from Q to T is A = number of letters from Q to T / total number of letters
Substituting the values in the equation , we get
Probability of choosing a letter from Q to T is A = 4/10
On simplifying the equation , we get
Probability of choosing a letter from Q to T is A = 2/5
Therefore , the value of A is 2/5
Hence , the probability is 2/5
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what is the volume of the following rectangular prism?
Answers
Answer:
I dont really know how to multiply fractions but i do know the step.
Step-by-step explanation:
Since 23/4 units square's formula is L × B. and the H is 4/3 units.All you needed to do to find the recrangular prism was to multiply 23/4 and 4/3 to get it.Then simplify it.Sorry i dont really know whether this helps but its what i know:'D
Answer:
volume= 23/4 x 4/3
volume= 7 2/3 units3
Given the equation 5 + x - 12 = x - 7.
Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values x = -4, 0, 5 to prove your solution to the equation 5 + x - 12 = x - 7. In your final answer, include all of your calculations.
Answers
Answer:
part A= x=1
part B= -13=-11 and -7=-7 and -2=-2
Step-by-step explanation:
part A
5+x-12=x-7
-7+x=x-7
x=1
part B
5+(-4)-12=-4-7
-1-12=-4-7
-13=-4-7
-13=-11
5+x-12=x-7
5+(-12)=-7
-7=-7
5+x-12=x-7
5+5-12=5-7
10-12=-2
-2=-2
Divide:
–112 ÷ 7
Question 9 options:
A)
–1∕16
B)
–16
C)
–784
D)
16
Answers
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
a (positive 7 is less than half of -112)
c (-784 is way big than -112 and 7)
d (it can't be a positive because the negative number is bigger than the positive number in the equation)
Hope this helped (if you can you make me brainliest and answer my latest question)
What makes Rohan the protagonist of "The Catch"?
Rohan is the most important character who opposes Ethane.
Rohan is helped by Lewess as they compete against Ethane.
Rohan is a good character, while Ethane is a bad character.
Rohan is the first character who is described in the story.
Answers
Answer:
The answer is a, rohan is the most important character who opposes Ethane.
Step-by-step explanation:
The requried, it is likely that the statement "Rohan is the most important character who opposes Ethane" is the most accurate reason for Rohan being the protagonist of "The Catch." Option A is correct
This statement suggests that Rohan plays a central role in the story and is positioned as the primary character in opposition to Ethane.
The other statements, such as Rohan being helped by Lewess and the moral evaluation of Rohan and Ethane's characters, do not necessarily establish Rohan as the protagonist but provide additional details about his relationships and qualities within the story.
The fact that Rohan is the first character described in the story does not directly determine his status as the protagonist but may indicate his significance in the narrative.
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