Step-by-step explanation:
There are two segments that have N as an endpoint and are both adjacent to <N:
segment SN and segment JN
If this is a question in trig, and the question is about the adjacent leg, then the answer is SN.
The question asks about an adjacent segment, not an adjacent leg, so both JN and SN are correct answers.
what's 5x+y=3 written in y=mx+b form
Answer:
y=-5x+3
Step-by-step explanation:
5x+y=3
sub 5x from each side
y=-5x+3
Which relation is neither exponential nor quadratic? *
1 point
A. y = 3x - 5
B. y = (x-1)(x+5)
C. y = 3^x
D. y = 10^(-x)
E. y = (1/4)^x
The relation that is neither exponential nor quadratic is option A, y = 3x - 5, which is a linear equation.
The relation y = 3x - 5 is a linear equation, not an exponential or quadratic equation. It represents a straight line with a slope of 3 and a y-intercept of -5. This means that the value of y increases by 3 for every unit increase in x.
On the other hand, y = (x-1)(x+5) is a quadratic equation since it can be written in the form of y = ax^2 + bx + c. The equation y = 3^x is an exponential equation because it has a constant base of 3 raised to the power of the variable x. The equation y = 10^(-x) is also an exponential equation, but with a base of 10 and the exponent being negative x.
Finally, y = (1/4)^x is also an exponential equation with a base of 1/4 raised to the power of x. Therefore, the relation that is neither exponential nor quadratic is option A, y = 3x - 5, which is a linear equation.
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Calculate the value of x. Make sure to include units. *
X
13°
25cm
O A-) 5.62
B-) 5.77
C-) 24.36
D-) 325
Hey! jeny.
︎⠀⠀⠀⠀⠀⠀⠀⠀⠀How are you?
PLEASE HELP QUICKLY!!!
Answer:
sunday
Step-by-step explanation:
i dont want brainliest give it to the other guy
Find the area of the triangle 15 m and 34 m
Answer:
255m^2
Step-by-step explanation:
You multipliy 15 and 34. Then you divide by 2
please help me figure this out with an explanation thank you
The three numbers are: 23, 25, 27, The boy is 140 cm tall, the father is 140 + 30 = 170 cm, and the sister is 70 cm tall.
What is an equation?In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions.
The terms 3x + 5 and 14 are separated by the word "equal" in the equation 3x + 5 = 14. The three main formats for linear equations are the slope-intercept form, standard form, and point-slope form.
Two expressions are combined with an equal sign to form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. It is possible to solve this equation, and the answer reveals that the value of the variable x is 7.
Let the the first number is : x
So, the other two numbers are :x+2, x+4
a) x+(x+2)+(x+4)=75
3x+6=75
3x=69
X=23
The three numbers are: 23, 25, 27
b)The sister's height is denoted as x. Two times, since the boy is twice as tall. His height is 2x + 30 because the father is 30 centimeters taller than the boy. The total height is 3.8 meters, or 380 centimeters. You can now create an equation.
x + 2x + 2x + 30 = 380
assemble similar terms
5x = 350
x = 70
The boy is 140 cm tall,
the father is 140 + 30 = 170 cm,
and the sister is 70 cm tall.
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11. In June, you start a holiday savings account
with a deposit of $30. You increase each
monthly deposit by $4 until the end of the
year. How much money will you have saved by
the end of December?
How much money will you have saved by
the end of December will be $54
Since you increase each monthly deposit by $4
Hence, June to December will give us 6 months
Now let determine How much money will you have saved by the end of December
December ending Amount saved= $30 +($4 × 6 months)
December ending Amount saved= $30 +$24
December ending Amount saved= $54
Inconclusion How much money will you have saved by the end of December will be $54
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Arc CD is \(\frac{2}{3}\) of the circumference of a circle. What is the radian measure of the central angle?
a.) \(\frac{2\pi}{3}\)
b.) \(\frac{3\pi}{4\)
c.) \(\frac{4\pi }{3}\)
d.) \(\frac{3\pi}{2}\)
Answer:
b
Step-by-step explanation:
What is the probability of rolling a 2 on a 6-sided die.
Answer:
2 and 6 is 1/6 2s on 2 dies is 2/12
It cost jose $8.70 to send 87 text messages. How much would it cost to send 10 text messages?
Answer:
One dollar
Step-by-step explanation:
So you divide 8.70 by 87 to get 0.10. So then you multiply 0.10 by 10 to get a dollar
Sending 87 text messages cost $8.70. Sending 10 text messages would cost $1.00.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
Cost to send 87 text messages: $8.70
Number of text messages: 87
To find out how much it would cost to send 10 text messages,
Use a proportion.
If it cost Jose $8.70 to send 87 text messages,
Set up the proportion:
$8.70 / 87 messages = x / 10 messages
To solve for x,
Cross-multiply and divide:
($8.70 x 10) / 87 = $1.00
Therefore, it would cost $1.00 to send 10 text messages.
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What is the y−intercept of the line that passes through the point (4,9)and is parallel to the line y=12x+2?
Answer:
y- intercept = - 39
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 12x + 2 ← is in slope- intercept form
with slope m = 12
Parallel lines have equal slopes, thus
y = mx + c ← is the partial equation
To find c substitute (4, 9) into the partial equation
9 = 48 + c ⇒ c = 9 - 48 = - 39 ← y- intercept
Answer:
y-intercept = -39
Step-by-step explanation:
if two lines are parallel it means they have the same gradient so we compare the equation given to the default equation of a line
y=mx+c
y=12x+2
comparing we have the gradient m=12 now finding the equation of the line parallel to the given line we use
y-y1=m(x-x1)
y1=9 and x1=4
y-9=12(x-4)
y-9=12x-48
y=2x-48+9
y=2x-39
comparing to the default equation of a line y=mx+c where c is the y-intercept
therefore the y-intercept is -39
WRITE A PIECE WISE FUNCTION FOR EACH GRAPH!! I need this answer ASAP !!
Answer:
y = -1/2 x - 2 for x <= -2
y = x + 4 for x > -2
Step-by-step explanation:
The lower left line has equation
y = -1/2 x - 2
The upper right line has equation
y = x + 4
Answer:
y = -1/2 x - 2 for x <= -2
y = x + 4 for x > -2
A helium tank shaped like a cylinder has 2,401π in3 of space inside the tank. If the diameter of the helium tank is 14 inches, what is its height?
49 inches
28 inches
12.25 inches
7 inches
A helium tank shaped like a cylinder has 2,401π in³ of space inside the tank. If the diameter of the helium tank is 14 inches, its height is 1 inch.
What is Volume?
Volume is a measure of the amount of space occupied by a three-dimensional object or a region of space. It is usually measured in units such as cubic meters (m³), cubic centimeters (cm³), cubic inches (in³), or liters (L).
For a solid object, such as a cube, cylinder, or sphere, volume is calculated by measuring the length, width, and height of the object and using a formula that is specific to that shape. For irregularly shaped objects, such as rocks or trees, volume can be determined by using techniques such as water displacement.
The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
In this case, we are given the diameter of the cylinder, which is 14 inches. The radius of the cylinder is half of the diameter, so r = 7 inches.
We are also given the volume of the cylinder, which is 2,401π cubic inches.
Using the formula for the volume of a cylinder, we can set up the following equation:
2,401π = π(7)²h
Simplifying this equation, we get:
2,401 = 49h
Dividing both sides by 49, we get:
h = 49/49 = 1
Therefore, the height of the helium tank is 1 inch.
However, this answer seems unlikely since the height of the tank should be greater than its radius. Therefore, there may be an error in the given volume or diameter of the tank.
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the answer is A its height is 49
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
Look carefully at the regression equation. The intereept is 17.51 and the slope is 0.62. How should these numbers be interpreted? Interpretation of intercept: - Intercept is the point where the function cuts the y axis. The student will score 17.51 marks on an average exam when the homework points are zero. Interpretation of slope: - Slope means the change in y axis, as the x one increases or slope. When homework increases by 1 point, the exam marks will increase by 0.62 4. According to the regression equation, if a student earns 77 points on homework assignments, how many points would that student be predicted to eam on the final exam? Be sure to show your work below as you answer this question.
The interpretation of the slope and the intercept of the linear function is given as follows:
Intercept is the point where the function cuts the y axis. The student will score 17.51 marks on an average exam when the homework points are zero.Slope means the change in y axis, as the x one increases or slope. When homework increases by 1 point, the exam marks will increase by 0.62.How to interpret the definition of a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, which is the rate of change of the output variable relative to the input variable.b is the intercept, which is the value of the output variable when the input variable assumes a value of zero.The input and output variable for this problem are given as follows:
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Thus, the student is predicted to earn 83.75 points in the final exam.
Given that the slope is 0.62 and the Intercept is 17.51.
The interpretation of the Intercept is that,
The student will score 17.51 marks on an average exam when the homework points are zero.
The interpretation of Slope is that, When homework increases by 1 point, the exam marks will increase by 0.62.4. To predict the points scored by a student in a final exam, when he/she earns 77 points on homework assignments, we will have to use the formula:
y = mx + bwhere, m is the slope,
b is the Intercept and x is the number of homework points earned by the student.
By substituting the given values,
we get,
y = 0.62x + 17.51x = 77y = 0.62(77) + 17.51 = 66.24 + 17.51 = 83.75
Thus, the student is predicted to earn 83.75 points in the final exam.
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*CAN SOMEBODY HELP ME*
Joel sells cotton candy at the magic games for $4 per bag. He also sells peanuts at the games for $2. 50 per bag. One day he sold 160 bags and collected $460. How many of each item did he sell?
Answer:
40 bags cotton candy 160 bags of peanuts
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x + 2.5(160 - x) = 460
4x + 400 - 2.5x = 460
1.5x = 60
x = 40
40 bags of cotton candy and (160 - 40) = 120 bags of peanuts.
differentiate. f(y) = 1 y2 − 3 y4 (y + 9y3)
Answer: To differentiate this function, we need to use the product rule and the chain rule.
First, we will simplify the function:
f(y) = (1/y^2 - 3/y^4) * y(y + 9y^3)
f(y) = (y + 9y^3) / y^3 - (3y + 27y^3) / y^5
f(y) = y^-3 * (y^4 + 9y^6 - 3y^4 - 27y^6)
f(y) = 6y^4 / y^3
f(y) = 6y
Now we can differentiate:
f'(y) = 6
Therefore, the derivative of f(y) is 6.
Using product rule and power rule of differentiation, the derivative of the function f(y) = 1/y² - 3/y⁴ * (y + 9y³) is f'(y) = 12/y⁷ - 6/y⁶ - 54/y⁵.
What is the differentiation of the function?To differentiate the given function,
We need to use product rule and the power rule of differentiation
use product rule to differentiate two terms in the function;
Let's consider the first term: 1/y²
The derivative of 1/y² with respect to y is:
d(1/y²)/dy = -2/y³
Now, let's consider the second term: -3/y⁴ * (y + 9y³)
The derivative of -3/y⁴ with respect to y is:
d(-3/y⁴)/dy = 12/y⁵
The derivative of (y + 9y³) with respect to y is:
d(y + 9y³)/dy = 1 + 27y²
Let's use product rule to differentiate the expression
Using the product rule, the derivative of the entire expression f(y) = 1/y₂- 3/y⁴ * (y + 9y³) is:
f'(y) = (1/y²) * (d(-3/y⁴ * (y + 9y³))/dy) + (-3/y⁴ * (y + 9y³)) * (d(1/y²)/dy)
Let's plug the value into the previous expression
f'(y) = (1/y²) * (12/y⁵) + (-3/y⁴* (y + 9y³)) * (-2/y³)
Simplifying further:
f'(y) = 12/y⁷ - 6(y + 9y³)/y⁷
= 12/y⁷ - 6(y/y⁷ + 9y³/y⁷)
= 12/y⁷ - 6/y⁶ - 54y²/y⁷
= 12/y⁷ - 6/y⁶ - 54/y⁵
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if you have a population mean and standard deviation of 7 and 3, respectively, what is the z-value when x is 10?
The Z-value represents the number of standard deviations away from the mean a particular value is. To find the Z-value when x is 10, given the population mean and standard deviation of 7 and 3, respectively, we use the following formula:
Z = (X - μ) / σ
Where:
X = 10 (the value of x)
μ = 7 (the population mean)
σ = 3 (the population standard deviation)
Plugging in the values, we get:
Z = (10 - 7) / 3 = 3 / 3 = 1
So the Z-value when x is 10 is 1, which means that x is 1 standard deviation above the mean.
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choose the statement that is false.group of answer choicesa 95% confidence interval is wider than a 90% confidence intervalwhen sampling for means and thinking about the central limit theorem, the n should always be >30.when estimating the standard deviation in calculating confidence intervals, make sure you use the t tables.reducing the variation of a process will increase the width of a given confidence interval relative to that process.
Reducing the variation of a process will increase the width of a given confidence interval relative to that process.
Option C is correct .
What is a confidence interval?
In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as a confidence interval. By employing the dimensions of values used in the computation of the intervals, it is simple to establish the link between components of two confidence intervals. The width is a fundamental component in these range estimates, which are affected by sample size, etc.
Hence, reducing the variation of a process will increase the width of a given confidence interval relative to that process is false.
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Is the function below linear or non linear y= 4x^2 + 9
Answer:
nonlinear
Step-by-step explanation:
because degree of is 2
Round : 9198.10666667
to the nearest hundredth
Answer:
9198.17
Step-by-step explanation:
Answer:
9198.11
Step-by-step explanation:
;) the zero becomes a 1 since next number 6 (above 5)
I SWEAR I NEED HELP PLEASEEEEEEEEEEE NO LINKS
hanson is at a ball game with his family. he goes to the concession stand to buy soft pretzels and water bottles for everyone. a water bottle costs $2, and a pretzel costs $3.50. hanson buys 16 items and spends $47 in all. this system of equations can be used to represent the situation: x+y=16 2x+3.5y=47
\(x+y=16 2x+3.5y=47\)
The system of equation that can be used to represent the situation is as follows:
x + y = 162x + 3.5y = 47The number of water bottle bought = 6
The number of pretzel bought = 10
Let
x = number of water bottle bought
y = number of pretzel bought
Hanson buys 16 items. Therefore,
x + y = 16Hanson spends a total of $47. Therefore,
2x + 3.5y = 47Combined System of equation:x + y = 162x + 3.5y = 47Therefore, let multiply equation(i) by 2
2x + 2y = 32
2x + 3.5y = 47
1.5y = 15
y = 15 / 1.5
y = 10
x + 10 = 16
x = 6
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Find the missing exponent. 7? x (75)4 = 734 Place only the missing exponnt value
Х
Answer:14
Step-by-step explanation:took the test
Which describes the solutions of t+5<1?
A) numbers less than -4
B) numbers less than or equal to-4
C) numbers less than 4
D) numbers less than or equal to 4
Answer:
A. t<-4
Step-by-step explanation:
Subtracting 5 from both sides gives t<-4
Plzzzzz help!
What is the perimeter of the composite figure?
Answer:
107.5 cm
Step-by-step explanation:
find the length of the missing side of triangle which is 22.5 rounded then add all the sides together
Jayden owns 32 rabbits. If 12 of his rabbits are male, what percentage of Jayden's rabbits are male
Answer:
37.5%
Step-by-step explanation:
We take
12 divided by 32, then times 100% = 37.5%
So, 37.5% of Jayden's rabbits are male
Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.
Step-by-step explanation:
Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.
Determine whether each of these proposed definitions is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. If f is well defined, find a formula for f (n) when n is a nonnegative integer and prove that your formula is valid.
a) f (0) = 1, f (n) = −f (n − 1) for n ≥ 1
b) f (0) = 1, f (1) = 0, f (2) = 2, f (n) = 2f (n − 3)
a) This is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. The formula for f(n) is f(n) = f(n-1) for n ≥ 1. To prove that this formula is valid, we can use mathematical induction.
Base case: f(0) = 1, which is true.
Inductive step: Assume that f(k) = f(k-1) for some k ≥ 1. Then f(k+1) = f(k) = f(k-1) = f(k+1-1), which is true.
Therefore, the formula is valid.
b) This is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. The formula for f(n) is f(n) = 2f(n-3) for n ≥ 3. To prove that this formula is valid, we can use mathematical induction.
Base case: f(0) = 1, f(1) = 0, f(2) = 2, which are all true.
Inductive step: Assume that f(k) = 2f(k-3) for some k ≥ 3. Then f(k+1) = 2f(k+1-3) = 2f(k-2) = 2(2f(k-3)) = 2f(k), which is true.
Therefore, the formula is valid.
c) This is not a valid recursive definition of a function f from the set of nonnegative integers to the set of integers because the recursive step does not define f(n) for all n ≥ 0.
d) This is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. The formula for f(n) is f(n) = 2f(n-1) for n ≥ 1. To prove that this formula is valid, we can use mathematical induction.
Base case: f(0) = 0, f(1) = 1, which are both true.
Inductive step: Assume that f(k) = 2f(k-1) for some k ≥ 1. Then f(k+1) = 2f(k+1-1) = 2f(k) = 2(2f(k-1)) = 2f(k+1-1), which is true.
Therefore, the formula is valid.
e) This is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. The formula for f(n) is f(n) = f(n-1) if n is odd and n ≥1 and f(n) = 2f(n-2) if n≥ 2. To prove that this formula is valid, we can use mathematical induction.
Base case: f(0) = 2, which is true.
Inductive step: Assume that f(k) = f(k-1) if k is odd and k ≥ 1 and f(k) = 2f(k-2) if k ≥ 2.
If k is odd, then f(k+1) = f(k) = f(k-1) = f(k+1-1), which is true.
If k is even, then f(k+1) = 2f(k+1-2) = 2f(k) = 2(2f(k-2)) = 2f(k+1-2), which is true.
Therefore, the formula is valid.
a) The formula for f(n) is (-1)ⁿ and b) The formula for f(n) is f(n) = 2k.
a) The proposed definition of function f is a valid recursive definition as it defines f(0) as 1 and then uses the previous value of f(n-1) to determine the value of f(n) for all n greater than or equal to 1. To find the formula for f(n), we can use induction. We can see that f(1) = -f(0) = -1, f(2) = -f(1) = 1, f(3) = -f(2) = -1, and so on. Thus, we can see that f(n) alternates between 1 and -1, depending on whether n is odd or even. Therefore, the formula for f(n) is (-1)ⁿ.
b) The proposed definition of function f is also a valid recursive definition as it defines f(0), f(1), and f(2), and then uses the previous value of f(n-3) to determine the value of f(n) for all n greater than or equal to 3. To find the formula for f(n), we can again use induction. We can see that f(3) = 2f(0) = 2, f(4) = 2f(1) = 0, f(5) = 2f(2) = 4, f(6) = 2f(3) = 4, f(7) = 2f(4) = 0, and so on.
Thus, we can see that f(n) alternates between 0 and 2, depending on whether n is congruent to 1 or 2 mod 3. Therefore, the formula for f(n) is f(n) = 2k, where k is the number of times n-3 can be divided by 3 before reaching a number less than or equal to 2. This formula is valid as it agrees with our observations and satisfies the recursive definition.
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pls help. will mark brainliest.
what is the 6th term of a GP whose first term is 6 and common ratio is 2
Answer:
192
Step-by-step explanation:
As given Ratio=2, a=6
tn=ar^n-1
t6=6.(2)^5
t6=6.32
t6=192