Answer:
Step-by-step explanation:
volume of sphere = (4/3)πr³
Difference= [(4/3)*π*6³]-[(4/3)*π*3³]
[tex]=\pi*[(\frac{4}{3}*6*6*6) - (\frac{4}{3}*3*3*3)]\\\\=\pi*[(4*2*6*6)-(4*3*3)]\\\\=\pi *[288-36]\\\\=252\pi[/tex]
I will mark as brainliest. Please Help.
Find the equation of the tangent to the circle x²+y²=169 at the point (5,12)
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!
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
Answer:
a) replacing it
if you dont replace the marble there will be 1 less marble than before it will effect the possiblity
Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5
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.
Divide:
–112 ÷ 7
Question 9 options:
A)
–1∕16
B)
–16
C)
–784
D)
16
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)
The temperature drops 10 degrees and then rises 10 degrees.
Write an addition expression that represents this situation.
Please answer ASAP
Answer:
10-10+10=10 degrees
what is the volume of the following rectangular prism?
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
60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
boys chose biking and
29
29
boys chose fishing.
The remaining boys did not complete the survey.
What expression gives the percent of survey participants who chose fishing?
Expression for percent of survey participants who chose fishing =
Explanation:
Total number of boys = 60
Number of boys who took part in survey = 18 + 29 =47
Number of boys who chose fishing = 29.
Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100
Percentage of boys who chose fishing = (29/47)x100
Expression for percent of survey participants who chose fishing =
Hope I helped! :)
Answer:
Expression for percent of survey participants who chose fishing =
Explanation:
Total number of boys = 60
Number of boys who took part in survey = 18 + 29 =47
Number of boys who chose fishing = 29.
Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100
Percentage of boys who chose fishing = (29/47)x100
Expression for percent of survey participants who chose fishing =
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Step-by-step explanation:
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
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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Which equation could be used to find the length of the hypotenuse?
Answer:
aaaaaaaaaaaaaaaaa
Step-by-step explanation:
i dont if i made it clear but the answer is A
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?
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.
Solve the equation below.
k - 6.2 = 24.8
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.
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.
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.
Solve the inequality.
5x - 7 < 8x + 8
The solution set is x |
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
translate the points two left and six up
W(4,8)
X(3,-2)
Y(6,5)
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)
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.
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.
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.
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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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?
Answer:
810 Feet Approximately.
Step-by-step explanation:
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?
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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Which is closest to the circumference of the CD?
1. 18.84
2. 28.26
3. 37.68
4. 113.04
Answer:
,
Step-by-step explanation:
Find the value of each numbered angle.
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).
(r/s)(3) find the value.
Find the simple interest on $8,000 at 4% interest for 2.5 years?
Answer:
800
Step-by-step explanation:
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.
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:
A mug can hold 17.09 ounces of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm³ equals 0.034 ounce, what is the height of the mug to the nearest centimeter
Answer:
10 centimeters
Step-by-step explanation:
Kindly refer to the attached image for explanations
If (x-2/3)=6 find the value of (x^3-8/xcube)
Answer:
(x-2)(x^2+2x+4)/x^3
Step-by-step explanation:
if you were doing for x let me know
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
Answer:
Step-by-step explanation:
last list
Answer:
it's the one at the bottom
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
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
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
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.
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
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
?
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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