Answer:
10 is the answer
Step-by-step explanation:
Beacause 2 * 5 =10
and 5*2=10
answer
10,20,30,40,by adding 10number etc.....
Write these numbers in standard form.
A) 250 000
B) 81 000
C) 906 000 000
D) 10 340 000 000
Please help ahhh
Answer:
A ) -5
B) -4
C) -9
D) -12
[tex] [/tex]
The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r,θ).
x2+y2−4x=0
The polar coordinates for x² + y² - 4x = 0 are (4 cos θ, θ) where θ is the angle made by the position vector with the positive x-axis in anti-clockwise direction.
We need to write the equation using polar coordinates (r,θ).To express the rectangular coordinates in polar form, we must recall some basic relations:
r = √(x² + y²)And tanθ = y/x
Therefore, tanθ = y/x implies x = r cos θ and y = r sin θ.
Substituting these values into the given equation we get,x² + y² - 4x = 0⇒ (r cos θ)² + (r sin θ)² - 4(r cos θ) = 0⇒ r² (cos²θ + sin²θ) - 4r cos θ = 0⇒ r² - 4r cos θ = 0
Dividing both sides by r, we get, r - 4 cos θ = 0⇒ r = 4 cos θ
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in a right triangle, sin ( 9 ) ∘ (x 9) ∘ = cos ( 4 1 ) ∘ (4x 1) ∘ . find the smaller of the triangle’s two acute angles.
Answer:
The sum of the two acute angles in a right triangle is always 90°, we can conclude that the smaller acute angle is 50°.
Step-by-step explanation:
To find the smaller acute angle in the right triangle, we can solve the given equation using inverse trigonometric functions.
sin(9°) = cos(41°)
Using the fact that sin(x) = cos(90° - x), we can rewrite the equation as:
sin(9°) = sin(90° - 41°)
Now, we can set the angles inside the sin function equal to each other:
9° = 90° - 41°
Rearranging the equation, we get:
41° = 90° - 9°
Combining like terms, we have:
41° + 9° = 90°
Simplifying further:
50° = 90°
Since the sum of the two acute angles in a right triangle is always 90°, we can conclude that the smaller acute angle is 50°.
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Question #2: Determine the solution to the linear system Ax=b and write the answer in the form of X = Xp + Xn, where Xp is the particular solution obtained from Ax=b and X₁ is the solution obtained from associated homogenous system of equations. 1 2 -1 3 2 -2 2-3 3 3 A = and b= 0 6-13 5 -1 4 00
The general solution to the linear system Ax = b is X = Xp + Xn, where Xp = [3, -1, 0]T and Xn = [t, s, t]T.
Given the coefficient matrix A and the constant vector b, we can set up the augmented matrix [A|b] and perform row operations to find the row-echelon form. The row-echelon form will help us determine the particular solution Xp and the solution Xn.
Performing row operations on the augmented matrix [A|b], we have:
[1 2 -1 | 3]
[2 -2 2 | -3]
[3 3 3 | 0]
After performing row operations, we obtain the row-echelon form:
[1 2 -1 | 3]
[0 -6 4 | -9]
[0 0 0 | 0]
From the row-echelon form, we can determine that the system has a free variable, which means it has infinitely many solutions. The associated homogeneous system of equations has a solution of the form Xn = [t, s, t]T, where t and s are free variables.
To find the particular solution Xp, we set the free variables to 0 and solve for the remaining variables in the row-echelon form. In this case, we obtain Xp = [3, -1, 0]T.
Therefore, the general solution to the linear system Ax = b is X = Xp + Xn, where Xp = [3, -1, 0]T and Xn = [t, s, t]T.
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Plzzz help and explain ASAP
Answer:
Rounded to the nearest thousand is better
Step-by-step explanation:
Well if you round to the nearest thousand then it’s 17,000. But if you round to the nearest ten thousand then it would be 20,000. So to find which is more accurate just subtract the original number from the rounded number. So the one rounded to the thousand would be off by 150 whic isn’t bad, but when you subtract the one Rounded to the nearest ten thousand then it would be off by 3150 which is way off. So rounding to the nearest thousandth is the better choice.
Simplify 9 ^ 3/2 - 25 ^ 1/2
9514 1404 393
Answer:
as written: 352as perhaps intended: 22Step-by-step explanation:
When you ask for evaluation of a math expression, you need to write what you mean.
Here, the order of operations requires you compute the exponentials before you do the division or addition:
9 ^ 3/2 - 25 ^ 1/2 = (9^3)/2 -(25^1)/2
= 729/2 -25/2 = 364.5 -12.5 = 352
__
It seems quite likely that you intend the exponents to be 3/2 and 1/2. In that case, parentheses are required.
9 ^ (3/2) - 25 ^ (1/2) = 27 -5 = 22
_____
Your calculator can evaluate arithmetic expressions for you.
Express ✓-18 in terms of i.
✓-18 =
Enter your next step h
Answer:
3✓2 i (3 times the square root of two times i; the i is not under the square root sign)
Step-by-step explanation:
✓-18
✓18*✓-1
✓(2*9)*✓-1
3✓2 i
Which of the following inequalities matches the description “the absolute value of negative four is less than or equal to the absolute value of four”? |-4| ≥ |4| |-4| > |4| |-4| < |4| |-4| ≤ |4|
choose the correct answer
Answer:
the first one..... I guess
Hi guys! Can you guys help me I forgot what this is :)
====================================
Explanation:
Point A is located at 0.3; each tickmark represents 0.1
0.3 as a fraction is 3/10 because 3 is in the tenths decimal place. This doesn't reduce.
----
Point B is at 0.4 which converts to 4/10 and then that reduces to 2/5. Divide both parts of 4/10 by 2 to get to 2/5
----
Point C is at 0.9 which converts to 9/10. That's as simplified as that fraction gets.
----
Point D is at 0.7 so it becomes 7/10. That doesn't reduce either.
Answer:
read
Step-by-step explanation:
Point A is located at 0.3; each tickmark represents 0.1
0.3 as a fraction is 3/10 because 3 is in the tenths decimal place. This doesn't reduce.
----
Point B is at 0.4 which converts to 4/10 and then that reduces to 2/5. Divide both parts of 4/10 by 2 to get to 2/5
----
Point C is at 0.9 which converts to 9/10. That's as simplified as that fraction gets.
----
Point D is at 0.7 so it becomes 7/10. That doesn't reduce either. So, its all of these, glad I could help :)
Of the 850 students at Brown Middle School, 38% are in the school band. How many students are NOT in the school band?
Answer:
Step-by-step explanation:
The answer is 527
PLEASE HELP ME!! IM CURRENTLY DOING A DIAGNOSTIC AND HAVE ONLY 15 MINS LEFT !!!!! A toilet paper roll has a diameter of 8x and a height of 6x. The hole in the middle has a diameter of 2x. What is the simplified expression for the volume? NOTE THE FORMULA TO CALCULATE THE VOLUME OF A CYLINDER IS Volume= Pi * R ^2 * H Note: Use Pi for the answer. (EXAMPLE: 5pix^2)
Answer:
284/3 πx³
Step-by-step explanation:
Volume of a cylinder is expressed as shown:
V = πr²h
r is the radius of the cylinder
r = diameter/2
r = 8x/2
r = 4x
Height of the cylinder = 6x
Volume of the roll with out the hole
V = π(4x)²(6x)
V = 16x²π(6x)
V = 96πx³
The hole in the middle will be a solid sphere with diameter 2x (radius will be x)
Volume of the hole = 4/3πr³
Volume if the hole = 4/3πx³
Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole
= 96πx³ - 4/3πx³
= (96-4/3)πx³
= 284/3 πx³
Which of the following function rules represents the graph shown?
Answer:
The answer is option 3.
Step-by-step explanation:
In a linear equation, y = mx + b where m represents gradient and b is the y-intercept (line touches y-axis).
In this graph, the gradient is positive and the y-intercept is -3.
So the possible function for this is f(x) = x - 3 .
HELP please I will give brainiest
Answer:
x=8/3
Step-by-step explanation:
12.5-4x=2x-3.5
12.5-4x-2x=-3.5
-4x-2x+3.5-12.5
-6x=-3.5-12.5
-6x=-16
thus getting x=8/3
100 - 3 x 6 + 5 - 4= 63 put the parentheses so that the equation is true
Answer:
10-3*(6+5)-4=63
Step-by-step explanation:
I used a calculator until I got the answer.
The correct parentheses to put in equation is 100-3(6+5)-4 = 63
What is parentheses?A parenthesis or parenthetical phrase is an explanatory or qualifying word, clause, or sentence inserted into a passage.
Given that, expression, 100 - 3 x 6 + 5 - 4= 63
To make equation true, just put parentheses around (5+6)
That will give,
100-3(6+5)-4
= 100 - 33 - 4
= 100 - 37
= 63
Hence, the correct parentheses to put in equation is 100-3(6+5)-4 = 63
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Evaluate each of the following limits. If you need to use co or -co, enter INFINITY or -INFINITY, respectively. (a) lim In(x2 - 25) = x - 5+ (b) lim In(x2 - 49) = X - - 7- (c) lim In(1/(9 - x)) = x - 9- (d) lim In(8/x) = x -> 00 11. [-/1 Points] DETAILS Math 110 Course Resources - Exponential & Logarithmic Functions Course Packet on laws of exponential and logarithmic functions Use the laws of logarithms to write each expression as a single logarithm. (a) 9log(x) - 8log(y) = ( b ) = In ( x) - 3In (y) - 6In(z) = ( c ) z In ( x + 9 ) 9 - 2 In ( x 1 2 ) - In ( x 2 + 8 ) 3 =
When the expression inside the logarithm becomes zero, the natural logarithm is undefined and approaches negative infinity. In (c), as x approaches 9 from the left, the denominator becomes zero, resulting in the natural logarithm approaching infinity. In (d), as x approaches infinity, the expression 8/x approaches zero, and the natural logarithm of zero is negative infinity.
(a) To evaluate the limit lim ln(x^2 - 25) as x approaches 5+, we substitute x = 5 into the function:
lim ln(x^2 - 25) = ln((5^2) - 25) = ln(0) = -INFINITY
(b) To evaluate the limit lim ln(x^2 - 49) as x approaches -7-, we substitute x = -7 into the function:
lim ln(x^2 - 49) = ln((-7^2) - 49) = ln(0) = -INFINITY
(c) To evaluate the limit lim ln(1/(9 - x)) as x approaches 9-, we substitute x = 9 into the function:
lim ln(1/(9 - x)) = ln(1/(9 - 9)) = ln(1/0) = INFINITY
(d) To evaluate the limit lim ln(8/x) as x approaches infinity, we substitute x = infinity into the function:
lim ln(8/x) = ln(8/infinity) = ln(0) = -INFINITY
Note: In (a) and (b), when the expression inside the logarithm becomes zero, the natural logarithm is undefined and approaches negative infinity. In (c), as x approaches 9 from the left, the denominator becomes zero, resulting in the natural logarithm approaching infinity. In (d), as x approaches infinity, the expression 8/x approaches zero, and the natural logarithm of zero is negative infinity.
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State True or False.
All numeric sequences can be represented as functions.
A True
B) False
Answer:
B
Step-by-step explanation:
Certain sequences (not all) can be defined (expressed) as an "explicit" formula. An explicit formula will create a sequence using n, the number location of each term. ... It defines the sequence as a formula in terms of n. It may be written in either subscript notation a n, or in functional notation, f (n).
whats twenty-three and seven hundred six thousandths in standard form (decimal)
twenty-three and seven hundred six thousandths is 23.706
6. The sum of two times the first and twice the second of three consecutive even integers
is 24 more than the third. Find the integers.
Answer:
1.21
2.22
3.23
Step-by-step explanation:
(x + x+1)-x+2=24
just simplify
Which figure represents an undefined term?
IF YOU ARE CORRECT, I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
Undefined terms are words that are not formally defined.
Hope this helps!
29.3 is what percent of 32? Round to the nearest tenth.
What is the measure of angle SAR?
Answer:
53 degrees
Step-by-step explanation:
75 - 22 = 53
Answer:
53
Step-by-step explanation:
75 - 22
Write the equation of the line, given the y and x-intercepts.
y-intercept = –2, x-intercept = –3
(need help asap so please hurry thank you!!)
Answer:
y = -(2/3)m - 2
Step-by-step explanation:
recall that the general equation of a straight line in slope-intercept form is
y = mx + b
where, m is the slope and b is the y - intercept
here we are given that the y - intercept is -2, hence the equation becomes:
y = mx + (-2)
or
y = mx -2
we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)
0 = m(-3) -2
0 = -3m - 2 (add 3m to both sides)
3m = -2 (divide both sides by 3)
m = -(2/3)
hence our equation is now
y = -(2/3)m - 2
Measure and record all eight angles formed between the transversal EF and the parallel lines AB and CD. Place the label of each angle so you can see it clearly. Take a screenshot of your diagram showing the measures of all the angles, and paste it in the space below.
Answer:
EHC=131.19
EHD=48.81
CHG=48.81
DHG=131.19
HGA=131.19
HGB=48.81
AGF=48.81
BGF=131.19
Step-by-step explanation:
This is exactly from Plato
Answer:
EHC=131.19
EHD=48.81
CHG=48.81
DHG=131.19
HGA=131.19
HGB=48.81
AGF=48.81
BGF=131.19
Step-by-step explanation:
PLATO tutorial pls mark me brainliest
What is the distance between point A and point B? A number line ranging from negative 8 to 8 with point A at coordinate negative 6 and point B at coordinate 7 Enter your answer in the box. The distance between points A and B on the number line is units. help please unit # 1 question 10
PLZZZZZ !!!!
Answer: 13.
Simply Count between Coordinates
Which Adds To 13.
Brainly Please.
The distance between point A and B is 13 units
what is number line?A number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
As, per the number line given we have A at (-6) and B at (+7).
So, not considering the negative sign we have 6 at left of 0 and 7 at right side of zero in a number line.
So, the distance will be
= 6 +7
=13 units
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14. Describe and correct the error in writing a rule for the nth term of the geometric sequence for which a3 = 147, r = 7. X a₁ = ra₂"-1 147 = 7a² 21 = a √√21 = a₁ 9₁ = 7√√21"
The error in writing the rule for the nth term of the geometric sequence is in the step where the value of a₁ is determined. The correct value for a₁ is √(147/49) or √3, not √√21.
In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio (r). The general formula for the nth term (aₙ) of a geometric sequence is given by aₙ = a₁ * r^(n-1), where a₁ is the first term and r is the common ratio.
Given that a₃ = 147 and r = 7, we can find the value of a₁ by substituting these values into the formula. Let's correct the error in the calculation step:
a₃ = a₁ * r^(3-1)
147 = a₁ * 7²
147 = a₁ * 49
To isolate a₁, we divide both sides of the equation by 49:
a₁ = 147 / 49
a₁ = 3
Therefore, the correct value for a₁ in the geometric sequence is 3, not √√21 as stated in the error.
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Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.
Answer:
There is no solution for the given radical equation.
x = 225/16 is an extraneous solution.
Step-by-step explanation:
The given equation is
Add 3 to both sides of the equation
Squaring both sides
Divide both sides by 16
Substituting back the value of x in original equation to check the extraneous solution.
Since -18≠ 12. Hence, the value of x does not satisfy the equation.
Therefore, x = 225/16 is an extraneous solution.
Step-by-step explanation:
Convert 94 yards to inches
Answer:
3,384 inches.
Step-by-step explanation:
1 yard = 36 in
36 times 94 = 3,384
Which statement is true regarding the functions of the graph?
• f(6) = g(3)
• f(3) = g(3)
• f(3) = g(6)
• f(6) = g(6)
Answer:
Its B
Step-by-step explanation:
I took the test
The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.512.512, point, 5 years; the standard deviation is 2.42.42, point, 4 years. Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a lion living between 5.35.35, point, 3 and 10.110.110, point, 1 years.
This question was not written properly
Complete Question
The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard deviation is 2.4 years. Use the empirical rule (68-95-99.7\%)(68−95−99.7%) to estimate the probability of a lion living between 5.3 to 10. 1 years.
Answer:
Thehe probability of a lion living between 5.3 to 10. 1 years is 0.1585
Step-by-step explanation:
The empirical rule formula states that:
1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
3) 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Mean is given in the question as: 12.5
Standard deviation : 2.4 years
We start by applying the first rule
1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
μ - σ
12.5 -2.4
= 10.1
We apply the second rule
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
μ – 2σ
12.5 - 2 × 2.4
12.5 - 4.8
= 7.7
We apply the third rule
3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
μ - 3σ
= 12.5 - 3(2.4)
= 12.5 - 7.2
= 5.3
From the above calculation , we can see that
5.3 years corresponds to one side of 99.7%
Hence,
100 - 99.7%/2 = 0.3%/2
= 0.15%
And 10.1 years corresponds to one side of 68%
Hence
100 - 68%/2 = 32%/2 = 16%
So,the percentage of a lion living between 5.3 to 10. 1 years is calculated as 16% - 0.15%
= 15.85%
Therefore, the probability of a lion living between 5.3 to 10. 1 years
is converted to decimal =
= 15.85/ 100
= 0.1585
Answer:
The probability of a particular lion living less than 10.1 years is 16%
