Answer:
h = 400 + 3.1(n - 1)
Step-by-step explanation:
this is an arithmetic sequence so instead the answer would be
h = 400 + 3.1(n - 1)
where h is the height of the tree after n weeks
can someone help me with this?
What is the area of this polygon?
Calculate the principal amount which earns $500 simple interest over 3 Years at a rate of 8% p.a round to the nearest cent
Final answer:
To find the principal amount that would earn $500 in simple interest over 3 years at an 8% annual rate, divide the interest by the product of the rate and period. The principal amount is $2083.33.
Explanation:
Calculating the Principal Amount from Simple Interest
To calculate the principal amount that earns $500 in simple interest over 3 years at a rate of 8% per annum, we can utilize the simple interest formula:
Interest = Principal × rate × time. Plugging in the known values, we get $500 = Principal × 0.08 × 3. This yields the equation $500 = Principal × 0.24.
To find the Principal, we divide $500 by 0.24, which gives us approximately $2083.33. Therefore, the initial principal amount is $2083.33.
Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3
Find the simplified form of the expression. Give your answer in scientific notation.
(9 x 10 5)(6 x 10 -7)
A. 5.4 x 10 -34
B. 1.5 x 10 -1
C. 5.4 x 10 -1
D. 1.5 x 10 -34
.help please and thank you
The measure of Angle E, the angle of elevation from point A to point B, is ( 3 x plus 1 ). The measure of Angle D, the angle of depression from point B to point A, is 2 ( x plus 8 ) Find the measure of each angle.
Graph the following inequality and then select the correct graph below.
y ≤ x - 2
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y\leq x-2[/tex]
The solution of the inequality is the shaded area below the solid line
The equation of the line is [tex]y= x-2[/tex]
The slope of the line is positive [tex]m=1[/tex]
The y-intercept of the line is the point [tex](0,-2)[/tex]
The x-intercept of the line is the point [tex](2,0)[/tex]
therefore
the graph in the attached figure
helppppppppppppppppppppppp
About 65 out of 300 students prefer walking instead of riding the bus to school. About what percent of the students prefer walking?
To find the percentage of students who prefer walking, divide the number of students who prefer walking by the total number of students and multiply by 100. In this case, 65 students prefer walking out of a total of 300 students.
Explanation:To find the percentage of students who prefer walking, you divide the number of students who prefer walking by the total number of students and then multiply by 100. In this case, 65 students prefer walking out of a total of 300 students.
So, you divide 65 by 300 and multiply by 100 to get the percentage.
Percentage of students who prefer walking = (65/300) * 100 = 21.67%
Learn more about Percentage Calculation here:https://brainly.com/question/32197511
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A jar contains 17 orange,7 pink, and 4 black marbles. A marble is drawn at random.What is the probability that the marble is pink or orange
Suppose you find a rock and measure that 12.5% of the original uranium-235 still remains it, while the other 87.5% has decayed into lead-207. about how old is the rock?
The data set represents a bimonthly progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. x 0 2 4 6 8 y 2.86 2.89 2.93 3.04 3.11 a. c. b. d.
Answer:
y = 0.0027*x^2 + 0.0111*x + 2.8574
Step-by-step explanation:
Using Excel the procedure is:
First, insert x and y values in a table format, as can be seen in the figure
Then, select data
Next, go to insert tab and inside charts options select scatter plot without any lines
Finally, select a point in the plot, right-click, add trend line, polynomial order 2 and check display equation option
Which of these sequence is an arithmetic sequence??
Answer:
a and c
Step-by-step explanation:
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form.
Using the completing-the-square method the vertex form of the function
f(x) = x² + 10x + 7 is f(x) = (x + 5)² - 18
The given function is:
f(x) = x² + 10x + 7
Comparing f(x) = x² + 10x + 7 with f(x) = ax² + bx + c
a = 1, b = 10, c = 7
(b/2)² = (10/2)² = 5²
Add and subtract 5² to the right hand side of the equation
f(x) = x² + 10x + 5² + 7 - 5²
f(x) = x² + 10x + 5² + 7 - 25
f(x) = x² + 10x + 5² - 18
f(x) = (x + 5)² - 18
f(x) = (x + 5)² - 18 is of the form f(x) = a(x - h)² + k which is the vertex form of a quadratic equation
Therefore, the vertex form of the function f(x) = x² + 10x + 7 is
f(x) = (x + 5)² - 18
Learn more here: https://brainly.com/question/19105786
What is the simplest form of (8x2)3?
Graph this function f(x)=x^2-4x-5
Answer:
Step 1: a = 1, b = -4
Step 2: x = 2, f(2) = -9
Step 4: (5,0) and (-1,0)
Step 6: f(0) = -5
On the graph the points plotted are (-1,0) , (0,-5) , (2,-9) , and (5,0)
Picture included!
What is the slope of the line shown in the graph?
A.) -1
B.) -2
C.) 1/2
D.) 2
Construction is under way at an airport. This map shows where the construction is taking place. If Road A and Road B are parallel, what is the distance from P to Q on Road C?
What are the roots of the polynomial equation?
x2−14x−32=0
We are given the quadratic equation :
[tex] x^{2} -14x-32=0 [/tex]
Now let us use AC method to factorise it.
Step 1:
Find product of A and C
A=1 and C =-32
A*C =-32
Step 2:
Find factors of -32 such that they add up to give -14.
Factors of -32 that add up to give -14 are -16 and 2.
Step 3:
Rewrite the equation using factors found in step 2.
[tex] x^{2} -16x +2x -32 =0 [/tex]
Step 4:
Factoring by grouping.
[tex] x(x-16) +2(x -16) =0 [/tex]
[tex] (x-16) (x+2) =0 [/tex]
Step 5:
Find roots.
x-16=0 gives x=16
x+2=0 gives x=-2
Answer : Roots of the given Polynomial equation are 16 and -2.
We are given the quadratic equation :
[tex] x^{2} -14x-32=0 [/tex]
Now let us use AC method to factorise it.
Step 1:
Find product of A and C
A=1 and C =-32
A*C =-32
Step 2:
Find factors of -32 such that they add up to give -14.
Factors of -32 that add up to give -14 are -16 and 2.
Step 3:
Rewrite the equation using factors found in step 2.
[tex] x^{2} -16x +2x -32 =0 [/tex]
Step 4:
Factoring by grouping.
[tex] x(x-16) +2(x -16) =0 [/tex]
[tex] (x-16) (x+2) =0 [/tex]
Step 5:
Find roots.
x-16=0 gives x=16
x+2=0 gives x=-2
Answer : Roots of the given Polynomial equation are 16 and -2.
PLEASE HELP
8.04b
1. Eliminate the parameter.
x = 5t, y = t + 8
A) y = 5x + 8
B) y = x divided by five + 8
C) y = 5x - 8
D) y = x divided by five - 8
2. Eliminate the parameter.
x = square root of x , y = 3t + 7
A) y = 3x2 + 7
B) y = 3 square root of x + 7, x ≥0
C) y = 3 square root of x - 7, x ≥0
D) y = 3x2 - 7
3. Eliminate the parameter.
x = t2 + 2, y = t2 - 4
A) y = x - 6, x ≥ 1
B) y = x + 6, x ≥ 1
C) y = x2 - 6, x ≥1
D) y = x2 + 6, x ≥1
4. Eliminate the parameter.
x = 4 cos t, y = 4 sin t
A sine function has the following key features:
Period = 12
Amplitude = 4
Midline: y = 1
y-intercept: (0, 1)
The function is not a reflection of its parent function over the x-axis.
How would this graph look??
Final answer:
A sine function with an amplitude of 4, period of 12, midline of y = 1, and y-intercept of (0, 1) would oscillate between 5 and -3, with a wave repeating every 12 units along the x-axis and starting upward from the y-intercept.
Explanation:
The graph of the sine function with the given properties will have the following characteristics:
The amplitude is 4, which means the function will oscillate 4 units above and below the midline.
The period is 12, indicating that it takes 12 units along the x-axis for the function to repeat its pattern.
The midline is y = 1, so the center of oscillation is not at the x-axis but is shifted upwards by 1 unit.
The y-intercept is (0, 1), which means the function starts at the midline.
Since the function is not a reflection over the x-axis, it means that it starts off going upwards from the midline.
Mapping these points, we can sketch the sine graph starting from the point (0, 1), curving up to a maximum of 5 (midline + amplitude), then down through the midline, reaching a minimum of -3 (midline - amplitude), and back to the midline at (12, 1), completing one full cycle.
Which statement about this product is true?
0.44 ×(−5 3/4)
It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0.
It is equal to −5 3/4 because 4/4 is equal to 1, and 1 times any number equals that number.
It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6
It is less than −5 3/4 because multiplying by a number less than 1 gives a smaller number.
Answer:
It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6
Step-by-step explanation:
i guessed it and it was right so ye.
2x + 3y = 18 3x -4y > 16. Give the Domain and Range, Slope, and Y-intercept for each line. Graph each equation above on the graph below and show all work. Give the Domain and Range, Slope, and Y-intercept for each line. Explain in detail how you got each answer. 2x + 3y = 18 3x -4y > 16 Slope-Intercept Form: Slope-Intercept Form: Domain: Domain: Range: Range: Slope: Slope: Y-intercept: Y-intercept:
What is the initial value of the function represented by this graph? A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 2 with the ordered pair 7, 5. 0 1 2 5 Question 7(Multiple Choice Worth 5 points)
Answer:
The initial value of the graph is 2. Third option is correct.
Step-by-step explanation:
It is given that A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1.
The line is passing through the points (0,2) and (7,5).
The point (0,2) is the y-intercept and graph labeled from 0 to 7, therefore 2 is the initial value.
Slope of line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{7-0}=\frac{3}{7}[/tex]
The equation of line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept. So the equation of given line is
[tex]y=\frac{3}{7}x+2[/tex]
At initial condition the value of x is 0. So, put x=0.
[tex]y=\frac{3}{7}(0)+2=2[/tex]
Therefore the initial value of the graph is 2. Option 3 is correct.
Answer:
Option 3 rd is correct
Initial value = 2
Step-by-step explanation:
A equation of line is given by:
[tex]y =mx+b[/tex] ....[1]
where
m is the slope of the line and b is the y-intercept or the initial value
As per the statement:
A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1.
It is also given that:
A straight line joins the ordered pair (0, 2) with the ordered pair (7, 5)
Calculate slope:
using formula:
[tex]\text{Slope (m)} = \frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the given ordered pairs we have;
[tex]\text{Slope (m)} = \frac{5-2}{7-0}=\frac{3}{7}[/tex]
y-intercept states that the graph which cut y-axis.
Substitute x =0 and solve for x:
we have given with the ordered pair (0, 2)
⇒y-intercept(b) = 2
Substitute the given values of m and b in [1]
[tex]y = \frac{3}{7}x+2[/tex]
The equation of straight line joins the ordered pair (0, 2) with the ordered pair (7, 5) is:
[tex]y = \frac{3}{7}x+2[/tex]
The initial value of the function represented by the given graph as shown below is: 2
You enter 5 tickets into a raffle, in which a total of 65 tickets are entered. the announcer chooses two tickets from the pool of raffle tickets. what is the probability that you win both prizes from the raffle? write your answer as a fraction in simplest form.
please help attachment on please don't skip any parts
will get brainliest
Choose the option that correctly completes the statement.
A triangle must have _____ one acute angle.
at most
at least
Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?
Answer:
the answer is aStep-by-step explanation:
i did the test
find the arithmetic mean an of an-1 = 3.9 and an+1 = 7.1
a. 11
b. 5.5
c. 3.7
d. 1.6
Answer:
Step-by-step explanation:
Alright, lets get started.
We are asked to find arithmetic mean of two terms given.
For finding arithmetic mean, we add up the values and divide the sum by the number of values.
Here we have given two numbers , below
[tex]a_{n-1}=3.9[/tex]
[tex]a_{n+1}=7.1[/tex]
So, mean of these two numbers will be = [tex]\frac{3.9+7.1}{2}[/tex]
So, mean of these two numbers will be = [tex]\frac{11}{2}=5.5[/tex]
So, arithmetic mean for given two numbers are 5.5 : Answer (b)
Hope it will help :)
b. 5.5
Step-by-step explanation:FOR LEARNING ONLY.. not necessary to read, but I hope it helps!
you start with:
[tex]a_{n-1}=3.9\\a_{n-1}=7.1[/tex]
arithmetic questions like this are like finding an average.
so you add the values while dividing by the total of values there are.
in this case:
[tex]\frac{7.1+3.9}{2}[/tex]
which is simplified to:
[tex]\frac{11}{2}[/tex]
then decimal:
[tex]5.5[/tex]