Answers
Answer:
45
Step-by-step explanation:
Related Questions
HELP ME!!
1. What is a variable?
2. Solve the following equations:
3x + 6 - X + 82 = 44
Show your work for the equations.
Answers
A variable is a letter that represents another number or thing.
Steps to solve:
3x + 6 - x + 82 = 44
~Combine like terms
2x + 88 = 44
~Subtract 88 to both sides
2x = -44
~Divide 2 to both sides
x = -22
Best of Luck!
f(x) = x2 − x − ln(x)
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum value of f.
(c) Find the inflection point.
Answers
(a) The interval on which f is increasing: (0, ∞)
The interval on which f is decreasing: (0, 1)
(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.
There is no local maximum value.
(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.
The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.
To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).
To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).
The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.
There is no local maximum in this function since the derivative does not change from positive to negative.
The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.
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Find the equation of a line that has the same slope as y = 5 - 9x and the same y-intercept as y=-8x - 10.
Answers
Answer:
y=-9x-10
Step-by-step explanation:
First, start by putting the first equation into slope intercept form:
y=-9x+5
We know that in the standard slope intercept formula (y=mx+b), m is the slope and b is the y intercept. Thus, line with the same slope as the one above would have a slope of -9.
To have the same y intercept as y=-8x-10, the y intercept would have to be -10.
Therefore, the formula would be y=-9x-10
Answer:
y = - 6/5x + 8/9
Step-by-step explanation:
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut point with the y axis
We have the following equations:
Equation 1:
By definition, if two lines are perpendicular then the product of their slopes is -1:
Equation 2:
Finally, the requested equation is:
what’s the answer ???
Answers
y-intercept: (0,2)
True or False?
If, |al = |b|, then either a = b or a = - b
Answers
Answer:
true
Step-by-step explanation:
50 and 1 over 2 Division sign1 over 4 equals 202 Part A: Create a story or context for this number sentence. Part B: Rewrite this number sentence using multiplication. Part C: Give a verbal explanation that describes how these three numbers are related.
Answers
Answer:
Step-by-step explanation:
(A) Create a story or context for this number sentence
The context is that this is a mathematical expression or equation involving fractions and no algebra.
\(50\)₁/₂ ÷ 1/4 = 202
That is: Fifty whole number, one over two plus one over four equals two hundred and two.
(B) Rewrite this number sentence using multiplication
This will require negation of the division sign. To turn a division sign into multiplication sign, you invert the number or fraction which follows it. In this case, that fraction is 1/4. So, inverting it, you have 4/1 which is same as 4. The number sentence is then rewritten as:
50₁/₂ × 4 = 202
(C) Give a verbal explanation that describes how these three numbers are related
A verbal explanation is simply an explanation in words. These three numbers or fractions are related in the sense that the first is to be divided by the second in order to get the third. The second number is the divisor.
Answer: PART-A:Zane has 4 dragons and if he confines them, he gets a super dragon, so how many regular dragons does Zane need to get 50 super dragons?
Step-by-step explanation: HOPE IT HELPS
Alan,becky and charlie share 72 sweets in the ratio 2:3:4. howmany sweets do they each receive?
Answers
Answer:
alan = 2 = 2x = 16
becky = 3 = 3x = 24
charlie = 4 = 4x = 32
Step-by-step explanation:
add 2 3 4 =
9
72 ÷ 9 = 8
alan = 2 = 2x = 16
becky = 3 = 3x = 24
charlie = 4 = 4x = 32
*PLS HELP*
A student is given the rectangle and the square shown. The student states that the two figures have the
same perimeter. Is the student correct? Complete the explanation to explain your reasoning.
X+4
X
X+2
X+2
The student is (select) The perimeter of a figure is found by (select)
For the rectangle, the perimeter is
. For the square, the perimeter
is
the lengths of its sides.
Answers
Answer:
The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8
Step-by-step explanation:
Perimeter for rectangle:
2(x+4) + 2x
2x + 8 + 2x
4x + 8
Perimeter for the square:
4(x+2)
4x + 8
find the zeros of the function in the interval (-2pi 2pi) of -5sin2x
Answers
The zeros of the function -5sin(2x) in the interval (-2π, 2π) are x = -π/2, 0, π/2, π.
To find the zeros of the function -5sin(2x) in the given interval (-2π, 2π), we need to determine the values of x for which the function equals zero.
Setting up the equationWe start by setting the function equal to zero:
-5sin(2x) = 0
Solving for xTo solve this equation, we need to find the values of x that make the sine function equal to zero. The sine function equals zero at certain angles, namely when the angle is a multiple of π. In this case, the angle is 2x.
When the angle 2x is equal to 0, π, 2π, etc., the sine function equals zero. Therefore, we can set up the following equations:
2x = 0
2x = π
2x = 2π
Solving each equation for x, we get:
x = 0/2 = 0
x = π/2
x = 2π/2 = π
Checking the intervalFinally, we need to check if the solutions fall within the given interval (-2π, 2π). We can see that all the solutions (x = -π/2, 0, π/2, π) are within this interval.
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(60 + 10)
130
Solve for a
Answers
Answer:
Step-by-step explanation:
here you go mate'
step 1
(60 + 10)130 equation
step 2
(60 + 10)130 simplify with the brackets
step 3
130(70) multiply the numbers
answer
9100
-4x+1/3+2-x/5=
the dashes are fraction things the 3 and the 5 are denominators I have the answere I just wanna check.
Answers
Answer:
-21x/5 + 7/3
Step-by-step explanation:
-4x + 1/3 + 2 - x/5
= -4x - x/5 + 1/3 + 2
= -(20x+x)/5 + (1+6)/3
= -21x/5 + 7/3
Consider the following system of equations:
10x1 - 7x2 = 7
-3x1 +2.099x2 + 3x3 = 3.901 5x1 - x2 +5x3 = 6
The solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:
(a) x1 = -1.3991, x2 = -2.9987, x3 = 1.9993
(b) x1 = 2, x2 = 1.7776, x3 = 2.9999
(c) x1 = 1.8673, x2 = 1.6676, x3 = 2.0009
(d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088
Answers
In the problem,
the given system of linear equations are 10x1 - 7x2 = 7 ...
(i)-3x1 +2.099x2 + 3x3 = 3.901 ...
(ii)5x1 - x2 +5x3 = 6 ...
(iii)Now, the solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:
x1 = 1.8975, x2 = 1.6677, x3 = 2.00088So, option (d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088 is the correct answer. Therefore, option (d) is the right option.
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I need help with this problem. Can anyone help?
Answers
Answer:
B.35 words per minute
Step-by-step explanation:
To get the rate per minute you have to divide the words type by the amount of minutes it took to type them. Since 105/3=35 and 175/5=35, the answer is B.35 words per minute
Whats the power of 91?
Answers
Answer:
1
Step-by-step explanation:
because you have to power the 91 which is one
I did this today it is supper easy
so what ever number you get like power of 10,15,20 it's still the answer (1)
Central angles $a$,$b$, and $c$ separate the circle into regions which are $\frac{1}{3}$, $\frac{1}{4}$, and $\frac{1}{6}$ of the area of the circle respectively. How many degrees are there in central angle $d$?
Thanks!
Answers
Answer:
1/4 or 0.25
Step-by-step explanation:
I think it is 1/4
1/3+1/4+1/6=0.75(3/4)
so there is another 1/4, so it is 1/4(0.25)
The measure of the central angle d is 90 degrees
How to calculate the angleAccording to the problem, the areas of the regions created by the central angles are in the ratios 1/3, 1/4, and 1/6. This can be expressed as:
a/A = 1/3
b/A = 1/4
c/A = 1/6
Since the sum of the areas of the regions must equal the total area of the circle, we can write:
a/A + b/A + c/A + d/A = 1
Substituting the given ratios, we have:
1/3 + 1/4 + 1/6 + d/A = 1
(4 + 3 + 2)/12 + d/A = 1
9/12 + d/A = 1
3/4 + d/A = 1
Subtracting 3/4 from both sides:
d/A = 1 - 3/4
d/A = 1/4
Since the central angle d represents a fraction of the total circle area equal to 1/4, we can conclude that its measure in degrees is also 1/4 of the total number of degrees in a circle, which is 360 degrees.
Therefore, the measure of the central angle d is:
d = (1/4) * 360
d = 90 degrees
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what is the qoutient of 0.1 and 20
Answers
Step-by-step explanation:
jeuejejejejejnenenenennens
Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a
monthly fee and a charge for each minute of calling time. In June she used 350 minutes and the cost
was $177.00. In July she used 900 minutes and the cost was $397.00.
A) Express the monthly cost C as a function of x, the number of minutes of calling time she used.
Answer: c(x) = 4x +
syntax error.
B) If Jane used 622 minutes of calling time in August, how much was her bill?
Answer: $
Answers
350m + f = 177 (where m is the charge per minute and f is the fixed monthly fee)
900m + f = 397
Solving this system of equations, we get:
m = 0.4
f = 37
Therefore, the monthly cost C as a function of x is:
C(x) = 0.4x + 37
B) If Jane used 622 minutes of calling time in August, we can use the function C(x) to find her bill:
C(622) = 0.4(622) + 37 = $274.80
Therefore, her bill for August would be $274.80.
What is the radius of a hemisphere with a volume of 920 ft^3 to the nearest tenth of a foot?
Answers
Answer:
7.6 ft
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
A hemisphere is 1/2 of a sphere
V = 1/2 (4/3 pi r^3)
V = 2/3 pi r^3
920 = 2/3 pi r^3
Multiply each side by 3/2
920 * 3/2 = 3/2 * 2/3 pi r^3
1380 = pi r^3
Divide each side by pi
1380/pi = pi r^3 / pi
1380/ pi = r^3
Using pi as 3.14
1380/3.14 = r^3
439.4904459= r^3
Taking the cube root of each side
(439.4904459)^(1/3)= r^3^(1/3)
7.602967711=r
To the nearest tenth
7.6 = r
radius=7.6ft
Answer:
Solution given:
radius [r]=?
Volume of hemisphere=920ft³
⅔*πr³=920
r³=920*3/(2π)
r³=439.267
r=\(\sqrt[3]{439.267}=7.6ft\)
Please help and no links :)
Answers
Answer:
sorry I don't know the answer
Alice invests R6500 in an account paying 3% compound interest per year. Bob invests R6500 in an account paying r% simple interest per year. At the end of the 5th year, Alice and Bob's accounts both contain the same amount of money. Calculater, giving your answer correct to 1 decimal place. A 3.0% B. 15.9% C. 3.2% D. 4.4%
Answers
The simple interest rate that will ensure that Bob's investment of R6,500 equals Alice's 3% compound interest per year investment is 3.2%.
What differentiates simple interest from compound interest?The difference between simple interest and compound interest is that simple interest computes interest on the principal only for each period.
Compound interest computes interest on both the principal and accumulated interest for each period.
Alice:
Principal investment = R6,500
Compound interest rate per year = 3%
Investment period = 5years
Future value = R7,535.28 (R6,500 x 1.03⁵)
Total Interest R1,035.28 (R7,535.28 - R6,500)
Bob:
Principal invested = R6,500
The simple interest rate = r
Investment period = 5years
The future value of the simple interest investment, A = P(1+rt)
7,535.28 = 6,500(1 + 5r)
Dividing each side b 6,500:
1.15927 = (1 + 5r)
5r = 0.15927
r = 0.031854
r - 0.032
r = 3.2% (0.32 x 100)
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Question Completion:Calculate r, giving your answer correct to 1 decimal place.
Ten less than the quotient of thirty and a number
Answers
Answer:
30/x - 10
Step-by-step explanation:
Quotient of 30 and a number is 30/x
10 less is -10
Answer:
30/x - 10
Step-by-step explanation:
We first take 30 and divide by x, and then we subtract 10 from that result.
Find the sum to 9 terms of the geometric SERIES 3 + 18 + 108
Answers
Answer:
129
Step-by-step explanation:
Answer:
I think the answer is 129. I'm not sure and if I'm wrong I apologize.
Step-by-step explanation:
3+18=21
21+108=129
What is the answer for x?
Answers
answer:
115 degrees
explanation:
1)
12x+55=23x
55=11x
5=x
2)
23(5)
115
The X is for slopes
Use substitution to solve the following system of equation
X =
y =
4x + y = 28
y = 3x
Answers
Answer:
x = 4
y = 12
Step-by-step explanation:
Replace all occurrences of y with 3x in each equation.
7x = 28
y = 3x
Divide each term in 7x = 28 by 7 and simplify.
x = 4
y = 3x
Replace all occurrences of x with 4 in each equation.
y = 12
x = 4
The solution to the system is the complete set of ordered pairs that are valid solutions.
(4,12)
The result can be shown in multiple forms.
Point Form:
(4,12)
Equation Form:
x = 4,y = 12
Hope I helped <3
a $40 packpack is on sale for $28 . what is the percent of change ?
Answers
Answer:11.2
Step-by-step explanation:
5
Find the circumference of the circle. Use 3.14 for the value of
pi. Round your answer to the nearest tenth.
12 ft
Answers
A sign is 4 1/2 feet wide and 5 1/4 feet long. Find the area of the surface of the sign
Answers
Answer:
the answer is 5 5/8
i think it's this
which function below has a great rate of change
Answers
Answer:Where is the function?
Step-by-step explanation:
There are 270 cows on a farm.
a) On the farm
number of bulls : number of cows = 1:30
How many bulls are there?
Answers
Answer:
140
Step-by-step explanation:
There are 9 groups so there must be 9 bulls.
If you wanted to measure your backyard to see if there was enough room for a basketball court, which math function would you use?.
Answers
If I wanted to measure my backyard to see if there was enough room for a basketball court, the math function which I would use is B)Geometry. So, correct option is B)
Basket ball court is either in the shape of rectangle or Square, and the Rod is in the shape of Cylinder and the net is in the shape of Hemispherical Bowl.
Along with the geometrical knowledge, we need knowledge of line and segment as backyard contains large number of straight lines.
Hence, option B)Geometry is correct.
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(Complete question) is:
If you wanted to measure your backyard to see if there was enough room for a basketball court, which math function would you use from among?
A)Arithmetic,
B)Geometry,
C)Calculus
D)Algebra