The inverse of 7.3 is 1/7.3, which is approximately equal to 0.13699. This means that if we multiply 7.3 by 0.13699, we should get a value close to 1.
The inverse of a number is the reciprocal or multiplicative inverse of that number. In other words, it is a number that when multiplied by the original number gives 1. To find the inverse of a number, we can simply divide 1 by that number.
In this case, we are asked to find the inverse of 7.3. So we can write:
inverse of 7.3 = 1/7.3
This means that if we multiply 7.3 by its inverse, we should get 1 as the result:
7.3 * (1/7.3) = 1
Therefore, the inverse of 7.3 is 1/7.3, which is approximately equal to 0.13699. This means that if we multiply 7.3 by 0.13699, we should get a value close to 1.
As an example, let's multiply 7.3 by its inverse and see what we get:
7.3 * 0.13699 = 0.9999...
We can see that the result is very close to 1, which confirms that 0.13699 is indeed the inverse of 7.3.
learn more about inverse here
https://brainly.com/question/13715269
#SPJ11
Which of the following is a function rule for the sequence 3, 8, 13, 18, 23, ...? A(n) = 5 + (n - 1)(3)A(n)= 3 + (n - 1)(5) A(n) = 1 + (n = 115) A(n) = 1 + (n - 1)(3)
Solution:
Given:
\(\begin{gathered} \text{The sequence;} \\ 3,8,13,18,23,\ldots \end{gathered}\)The sequence given is an arithmetic progression because it increases by a common difference.
Hence, the function rule for the sequence will follow that of an arithmetic progression (A.P).
The nth term of an A.P is given by;
\(\begin{gathered} a_n=a+(n-1)d_{} \\ \text{where;} \\ a_n\text{ is the nth term} \\ a\text{ is the first term} \\ n\text{ is the number of terms} \\ d\text{ is the co}mmon\text{ difference} \end{gathered}\)For the sequence given;
\(\begin{gathered} 3,8,13,18,23,\ldots \\ \\ a=3 \\ d=8-3\text{ or 13-8 or 18-13 or 23-18} \\ d=5 \\ \\ \text{Hence, substituting these values into the nth term of an A.P to get the rule,} \\ a_n=a+(n-1)d_{} \\ A(n)=3+(n-1)(5) \end{gathered}\)Therefore, the function rule for the sequence is;
\(A(n)=3+(n-1)(5)\)The compound interest formula states the if P dollars are invested at an annual interest rate of r, compounded n times per year, then A, the amount of money present after t years, is given by A=P(1+r/n)^nt. If $9500 is invested at 7% compounded quarterly, how much will this investment be worth in 14 years? Solve the problem and round answer to two decimal places.
The investment of $9500 at an annual interest rate of 7% compounded quarterly will be worth approximately $24,843.34 after 14 years.
Using the compound interest formula, we have P = $9500, r = 7% = 0.07, n = 4 (quarterly compounding), and t = 14 years. Substituting these values into the formula, we can calculate the final amount A:
A = $9500 * (1 + 0.07/4)^(4*14)
≈ $9500 * (1.0175)^(56)
≈ $9500 * 2.6186418
≈ $24,843.34
Therefore, the investment will be worth approximately $24,843.34 after 14 years.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ11
The list shows the thickness of ice on the roads after a storm. On the line plot each x represents 1 measurement which line plot matches the data
Answer:
Step-by-step explanation:
Ice sheets have one particularly special property. They allow us to go back in time and to sample accumulation, air temperature and air chemistry from another time[1]. Ice core records allow us to generate continuous reconstructions of past climate, going back at least 800,000 years[2].
Ice coring has been around since the 1950s. Ice cores have been drilled in ice sheets worldwide, but notably in Greenland[3] and Antarctica[4, 5]. High rates of snow accumulation provide excellent time resolution, and bubbles in the ice core preserve actual samples of the world’s ancient atmosphere[6].
Help greatly appreciated.
Find the values of x and y. I need help knowing which formula to use and what to plug into the formula. Thank you.
The value of x is 4√6. The value of y is 4√2.
What are similar triangles?
If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.
Consider △ABC:
Height = AC = x, Hypoteneous = BC = 4+8 = 12.
Consider △ADC:
Height = DC = 8, Base = AD = y, Hypoteneous = AC = x
Consider △ABD:
Height = AD = y, Base = 4.
The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.
The ratio of the corresponding sides of similar triangles is constant.
Consider △ABC and △ADC:
AC/DC = BC/AC
x/8 = 12/x
x² = 12×8
x = 4√6.
Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.
Consider △ADC and △ABD:
DC/AD = AD/BD
8/y = y/4
y² = 4×8
y = 4√2
To learn more about similar triangles, click on the below link:
https://brainly.com/question/16364919
#SPJ1
Find the value of x. Assume that lines that appear tangent are tangent.
The value of segment x is determined as 16.
What is the value of segment x?The value of segment x is calculated by applying intersecting chord theorem as follows;
The intersecting chord theorem, also known as the power of a point theorem, states that;
If two chords of a circle intersect inside the circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
The value of segment x is calculated as follows;
(x) (15) = (10) (24)
15x = 240
x = 240/15
x = 16
Learn more about intersecting chords here: https://brainly.com/question/13950364
#SPJ1
Solve for the measure of arc KM.
Answer:
The measure of an angle formed by two secants intersecting outside a circle is equal to one-half the difference of the measures of the intercepted arcs.
50° = (1/2)(162° - KM)
100° = 162° - KM
KM = 62°
WILL GIVE BRAINLIEST FOR ANSWER In a 4-by-6-foot Colorado state flag, the gold-colored disk has a 1-foot radius.
How much gold fabric do you need to create the flag?
What percent of the flag is gold?
Answer:
13%
Step-by-step explanation:
the area of the flag is 4x6=24 the circle has an area of 3.14. 3.14/24 is 13%
The percent of the flag is gold should be considered as the 13%.
Calculation of the percentage:Since
In a 4-by-6-foot Colorado state flag, the gold-colored disk has a 1-foot radius.
So here the area of the flag should be
= (4) (6)
= 24
Now the percentage be like
= 3.14/24
= 13%
hence, The percent of the flag is gold should be considered as the 13%.
Learn more about percentage here: https://brainly.com/question/19270423
Find the equation of the line through (−8,8) that is
parallel to the line y=−5x+5.
Enter your answer using slope-intercept form.
The equation of line is y = -5x using the given passing coordinates (-8, 8).
Given: The coordinates of the point through which the line passes are (-8, 8), and the line is parallel to the line
y = -5x + 5.
The standard form of a linear equation is given by the formula:
Ax + By = C
where A, B, and C are constants. We will use this formula to find the equation of the line through the point (-8, 8).
The line parallel to y = -5x + 5 will have the same slope as this line since parallel lines have the same slope.
Hence, the slope of the line we are looking for is -5.
The point (-8, 8) lies on the line we are looking for.
Therefore, we can substitute x = -8 and y = 8 into the equation of the line to get:
-5(-8) + b = 88 + b
= 8b
= 8 - 8b
= 0
So, the equation of the line is y = -5x.
Know more about the linear equation
https://brainly.com/question/2030026
#SPJ11
Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyeline to the swingset is 30.26° and Emir is 14 feet from the ground How many feet is the base of the treehouse from swingset? Round your answer to the nearest foot
ANSWERS:
15 feet
20 feet
18 feet
24 feet
=============================================
Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
---------------------------
Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.
Using the slope concept, it is found that the base of the treehouse is 24 feet from swingset.
What is a slope? The slope is given by the vertical change divided by the horizontal change. It's also the tangent of the angle of depression.
In this problem:
The vertical distance is of 14 feet.The horizontal distance is of x feet.The angle of depression is of 30.26º.Hence:
\(\tan{30.26^{\circ}} = \frac{14}{x}\)
\(0.5834 = \frac{14}{x}\)
\(x = \frac{14}{0.5834}\)
\(x = 24\)
The base of the treehouse is 24 feet from swingset.
You can learn more about the slope concept at brainly.com/question/18090623
The total cost (in dollars) of manufacturing x auto body frames is C(x) = 40,000 + 900x. (A) Find the average cost per unit if 100 frames are produced. (B) Find the marginal average cost at a production level of 100 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 101 frames are produced. (A) If 100 frames are produced, the average cost is $ per frame. (B) The marginal average cost at a production level of 100 units is $ per frame. (Round to the nearest cent as needed.) (C) Using the results from parts (A) and (B), the estimate of the average cost per frame if 101 frames are produced is $ (Round to the nearest cent as needed.)
A. The average cost per frame if 100 frames are produced is $1,300.
B. The marginal average cost is $900 per frame.
C. The estimated average cost per frame if 101 frames are produced is $2,200.
(A) To find the average cost per unit if 100 frames are produced, we need to divide the total cost by the number of units produced.
C(x) = 40,000 + 900x
C(100) = 40,000 + 900(100)
C(100) = 130,000
The total cost of producing 100 frames is $130,000.
To find the average cost per frame, we divide the total cost by the number of frames produced:
Average Cost = Total Cost / Number of Frames
Average Cost = $130,000 / 100
Average Cost = $1,300
Therefore, the average cost per frame if 100 frames are produced is $1,300.
(B) To find the marginal average cost at a production level of 100 units, we need to find the derivative of the cost function:
C(x) = 40,000 + 900x
C'(x) = 900
The marginal average cost is the derivative of the cost function, so at a production level of 100 units, the marginal average cost is $900 per frame.
(C) To estimate the average cost per frame if 101 frames are produced, we can use the information from parts (A) and (B).
If the average cost per frame for 100 frames is $1,300, and the marginal average cost at 100 frames is $900, we can estimate the average cost per frame for 101 frames using the formula:
Average Cost = Previous Average Cost + Marginal Average Cost
Average Cost = $1,300 + $900
Average Cost = $2,200
Therefore, the estimated average cost per frame if 101 frames are produced is $2,200.
Know more about the marginal average cost
https://brainly.com/question/31116213
#SPJ11
If function fhas zeros at -3 and 4, which graph could represent function ?
Answer:
Graph A
Step-by-step explanation:
Zeroes mean the x intercepts so the only graph that has points at -3 and 4 is GRAPH A. You can also come to the conclusion by using process of elimination.
for the histogram on the right determine whether the mean is greater​ than, less​ than, or approximately equal to the median. justify your answer.
The median exceeds the mean by more. The histogram is skewed to the right, which shows that lower values are dragging down the mean.
The median of the histogram on the right is higher than the mean. This is evident from the histogram's form, which is tilted to the right. This shows that the lower values tend to drag the mean down. The median is greater than the mean. The right-handed skewness of the histogram indicates that the mean is being pulled down by lesser values and However, because it is the centre number and is only impacted by the higher and lower values equally, the median is unaffected by the lower values. Because of this, the mean in this histogram is less than the median.
Learn more about median here
https://brainly.com/question/28060453
#SPJ4
someone help please!!!
The coordinates of the vertices after a reflection over the line x = 2.
D = (8, 5)
E = (6, 5)
F = (4, 8)
G = (7, 8)
What is a reflection?There are two ways of translation.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
The coordinates:
D = (-4, 5)
E = (-2, 5)
F = (0, 8)
G = (3, 8)
The line x = 2.
We count the units from the line x = 2.
After the reflection, the number of units of each coordinate from the line
x = 2 must be equal to the number of units from the line x = 2 before the reflection.
Thus,
The reflected coordinates of the vertices are:
D = (8, 5)
E = (6, 5)
F = (4, 8)
G = (7, 8)
Learn more about reflections here:
https://brainly.com/question/12463306
#SPJ1
If the region enclosed by the -axis, the line y = 2 , and the curve y = โx is revolved about the -axis, the volume of the solid generated is
The volume of the solid generated by revolving the triangle about the -axis is (8π/3).
The region enclosed by the -axis, the line y = 2, and the curve y = -x is a triangle with base 2 and height 2.
To find the volume of the solid generated by revolving this triangle about the -axis, we can use the method of cylindrical shells.
The volume of each shell is given by the formula:
V = 2πr * h * δr
where r is the distance from the -axis to the shell, h is the height of the shell, and δr is the thickness of the shell.
We can express r as a function of y, since each shell corresponds to a vertical slice of the triangle:
r = y
The height of each shell is given by the difference between the -axis and the curve y = -x:
h = 2 - (-x) = 2 + x
Finally, the thickness of each shell is δr = dy.
Therefore, the volume of the solid is:
V = ∫[0,2] 2πy * (2 + y) dy
= 2π ∫[0,2] (2y + y^2) dy
= 2π [y^2 + (1/3)y^3] |[0,2]
= (8π/3)
Therefore, the volume of the solid generated by revolving the triangle about the -axis is (8π/3).
Learn more about volume here
https://brainly.com/question/27710307
#SPJ11
4 1/4 x 10 1/5 x 3 1/3
Answer:
144.5
Step-by-step explanation:
Answer:
144.5
Step-by-step explanation:
144.5
goooooood
...............
work out 7 x 10 to the power of five /2 x 10 to the power of 2
Answer: 3500
Step-by-step explanation:
7 x 10 to the 5th power = 700000
2 x 10 squared = 200
700000/200 = 3500
Answer:
4201750
Step-by-step explanation:
7*10^5/2*10^2
7*10=70
2*10=20
70^5/20^2
70^5 =1680700000
20^2=400
1680700000/400=4201750
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
When graphed, the circle with equation
2x² + y2 + 14x + 8y + 20 = 0
Will lie ENTIRELY in Quadrants…
Answer:
First we must use the property of the sum of perfect squares:
X^2 -14x +y^2 +10y+65 =0
Adding 7^2 and -7^2
x^2 -14x+7^2-7^2 +y^2+10y+65=0
x^2 -2.7x +7^2 -49 +y^2+10y+65=0
(X-7)^2 +y^2+10y+16=0
Adding 5^2 and -5^2
(X-7)^2 +y^2 +10y+5^2-5^2+16=0
(X-7)^2 +y^2+2.5y+5^2 -25 +16=0
(X-7)^2+ (y+5)^2 -9 = 0
(X-7)^2 +(y+5)^2 = 9
(X-7)^2+(y+5)^2 = 3^2
Center = (7, -5)
R = 3
The circle is in the 4 quadrant.
Which equation is the equation of the line, in point-slope form, that has a slope of 2 and passes through the point (−8, 1)?
Answer:
The second one
Step-by-step explanation:
With the given info, the formula of the equation would be:
y = 2x + 17
When you expand the following options and put everything except the y on the right side, you get the second answer
Simplify:
7+7÷7+7⋅7−7
Answer:
50
Step-by-step explanation:
7+7/7+7x7-7
7+1+7x7-7
7+1+49-7
8+49-7
57-7
50
Answer:
50
Step-by-step explanation:
7 + 7 ÷ 7 + 7 ⋅ 7 - 7
7 + 1 + 49 - 7
7 + 50 - 7
50 - 7 + 7
50
please help me, I understand the properties but in this question we have to fill in the degrees
Answer:the qualirateral is in the wrong spot
Step-by-step explanation:
If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False
Question 3: True
Question 4: False
Question 5: True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.
This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.
True
When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.
Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.
False
A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.
Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.
True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Learn more about Polynomial Function at
brainly.com/question/11298461
#SPJ4
Simplify this power raised to a power
Answer:
I believe x = 16
Advanced equation solving written problem one
Solve the equation on the interval [0,2π), showing all steps of the solution process. While you are welcome to check with a solver, no credit will be given for magic answers! If it is possible to obtain an exact value solution, you must give in that form. Otherwise, use decimal radians rounded to two places for the angles. Clearly indicate reference angles and quadrants. After solving, produce a Desmos graph showing the left and right sides of the equation graphed as functions, restricted to [0,2π), and click to reveal points of intersection. Screenshot and include. Solve: 2 sin^2 x + 20 cos x = 6
The equation are: x = -1 radians (-57.3°) and x = 11 radians (626.9°).
To solve this equation, use the identity sin2x + cos2x = 1 and apply it to the left side of the equation.
2 sin2x + 20 cos x = 6
2 (1 - cos2x) + 20 cos x = 6
2 - 2 cos2x + 20 cos x = 6
2 cos2x - 20 cos x + 2 = 6
cos2x - 10 cos x + 1 = 0
Next, solve the resulting quadratic equation using the quadratic formula: x = [-b ± √(b2 - 4ac)]/2a. In this case:
x = [-(-10) ± √((-10)2 - 4(1)(1))]/2(1)
x = [10 ± √(100 - 4)]/2
x = [10 ± √(96)]/2
x = (10 ± 4√6)/2
x = (10 ± 12)/2
x = 5 ± 6
We then use the interval [0,2π) to calculate the exact radian values for x. The two solutions in this interval are:
x = 5 - 6 = -1
x = 5 + 6 = 11
For reference, the angle corresponding to -1 radians is -57.3° and the angle corresponding to 11 radians is 626.9°.
To check the solution, graph the two sides of the equation on Desmos, with the interval [0,2π). The graph will show the two points of intersection (marked with circles) which correspond to the two solutions.
In conclusion, the exact values of x which satisfy the equation are: x = -1 radians (-57.3°) and x = 11 radians (626.9°).
Learn more about Desmos Graph
brainly.com/question/23017727
#SPJ11
Cutting of 11.25 by 15
Answer:
it may be 0.75 i am not sure
Answer:
answer will be 0.75
11.25÷15=0.75is a pipe is 24000 km long how much would one km be?
0.0000416 pipe is the number of pipe for 1 km lenght
Ratio and proportionProportion is defined as the ratio os two quantity for instance numbers.
According to the given question, the length of one pipe is equivalent to 24000km. We are to determine the number of pipe that 1 km will be.
This is expressed as:
Number of pipe for 1 km = Number of pipe/Total km
Number of pipe for 1 km = 1/24000
Number of pipe for 1 km = 0.0000416 pipe
Hence the amount of pipe for 1 km is 0.0000416 pipe
Learn more on ratio and proportion here: https://brainly.com/question/3796978
#SPJ1
in the garden, the ratio of roses to daises is 1:3. there are 8 roses. How many daises are there
A machine fills bags with sweets.
There are 4275 sweets.
There are 28 sweets in each full bag.
The machine fills as many bags as possible.
How many sweets are left?
Answer:
19
Step-by-step explanation:
maximum no. of bag filled by 4275 sweets,is
4275/28 ~=152
therefore , there is 4256 sweets in 152 bags
therefore,4275-4256=19 sweets are left
Lara surveyed all of the 11th grade students at her school about the number of languages they speak and whether or not they have allergies. Here are her results:
Answer:
57.6% have allergies
42.4% have no allergies
Step-by-step explanation:
We only need to consider the students who speak two languages according to the question.
To find the percent with allergies, divide the number of students with allergies by the total number of students (that speak two languages).
19/33 = 0.5757 = 57.6%
To find the percent without allergies, divide the number of students without allergies by the total number of students (that speak two languages).
14/33 = 0.4242 = 42.4%
Check your work by adding the percentages to make sure they equal 100%
57.6 + 42.4 = 100
Which of these is a true statement? Please helppp
Answer:
c. d must cause f. that's the answer