According to the given data the slope mpq of the secant line pq for the following values of x are :
m for x3.333333 for 2.93.030303 for 2.993.003003 for 2.9993.00030003 for 2.99992.727272 for 3.12.90297 for 3.012.997002 for 3.0012.999700 for 3.0001What is the definition of the slope inside a graph?The slope is defined as the proportion of both the vertical difference of two points, known as the rise, towards the horizontal change between those same two points, known as the run.
How do you calculate slope?Calculate the values of two line points. Determine the difference in y-coordinates between these two locations (rise). Calculate the x-coordinate distinction between these two locations (run). Divide the x-coordinate variation (rise/run or slope) by the y-coordinate difference.
According to the given data:Slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
so,
m for x
3.333333 for 2.9
3.030303 for 2.99
3.003003 for 2.999
3.00030003 for 2.9999
2.727272 for 3.1
2.90297 for 3.01
2.997002 for 3.001
2.999700 for 3.0001
this shows that the slope m for the required x.
To learn more about slope visit:
https://brainly.com/question/12929041
#SPJ4
I understand that the question you are looking for is:
The point P(3, −3) lies on the curve y = 3/(2 − x).
If Q is the point (x, 3/(2 − x)), use your calculator to find the slope m PQ of the secant line PQ (correct to six decimal places) for the following values of x.
i. 2.9 =
ii 2.99 =
iii. 2.999 =
iv.2.9999 =
v. 731
vi. 3.01
vii. 3.001
viii. 3.0001
a. Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(3,-3)
b. Using the slope from part (b), find an equation of the tangent line to the curve at P(3,- 3).
Rewrite in simplest terms: -10(-5f +7f+2) - f
Answer:
-21f - 20
Step-by-step explanation:
Rewriting in the simplest terms,
→ -10(-5f + 7f + 2) - f
→ 50f - 70f - 20 - f
→ -20f - 20 - f
→ -21f - 20
Hence, simplest term is -21f - 20.
Mio bought a tablet and pays monthly for internet service for it. She graphed the relationship between the number of months she has had the tablet and the total amount she has spent on it. What does the y-intercept represent in this context?
A) The number of months after which the cost is 0 dollars.
B) The cost per month of internet service.
C) The cost of buying the tablet.
Answer:
B) The cost per month of internet service.
Charlotte is driving at 61.4 mi/h and receives a text message. she looks down at her phone and takes her eyes off the road for 3.93 s. how far has charlotte traveled in feet during this time?
The distance travelled by Charlotte in feet is 354 feet. This is obtained by using the concept of speed and distance on the given problem.
What is speed?
Speed is defined as the distance per unit of time. It is the numerical quantity that specifies how fast an object is moving. The basic unit of speed is given by m / s.
Calculation of the distance travelled by Charlotte in feet
Given:
Speed = 61.4 mi / h
Time = 3.93 s
The basic step to solve this problem is to convert miles per hour to feet per second
(61.4 mi / hr) * (5280 feet / mi) * (1 hr / 3600 sec) = 90.0533 feet / sec
Now, multiply the speed by the number of seconds to find the value of distance in feet
(90.0533 feet / sec) * (3.93 sec) = 353.909 feet.
Hence, the distance travelled by Charlotte in feet is 354 feet.
To learn more about speed, visit the link below:
https://brainly.com/question/13943409
#SPJ4
If c^2+s^2=1 what does c+s=
I don't have a lot of info to go off of to properly solve the question, however I think I may be able to help. If you are trying to solve using the Quadratic Formula:
_______________________________________________________
Solve the rational equation by combining expressions and isolating the variable c.
[tex]c=\sqrt{(1+s)(1-s)[/tex]
[tex]c=-\sqrt{(1+s)(1-s)}[/tex]
If this is not what you are looking for, please comment below on what you really need and I'll see what else I can do to help. Thanks!
PLEASE HELP ME ASAP THIS NEEDS TO BE DONE TODAY.
Answer:
#1
[tex]{ \tt{119 \degree + 34 \degree + b = 180 \degree}} \\ { \tt{b = (180 - 34 - 119) \degree}} \\ { \tt{b = 27 \degree}}[/tex]
#2
[tex]{ \tt{ \red{❗ \: image \: not \: clear}}}[/tex]
what is the problem 10.5-9.67
Answer:
0.83
Step-by-step explanation:
10.5-9.67 the answer is 0.83
Answer:The answer is 0.83
Step-by-step explanation:Please give brainliest if right.I hope this helps.
Melinda has 5 cousins. She called each one on the phone 4 times this month. How many phone calls did she make to her cousins this month
Answer:20
Step-by-step explanation:5*4=20 hope this helps
Find missing length.
The area of a rhombus is 168 square centimeters. If one diagonal is three times as long as the other, what are the lengths of the diagonals?
Given the area, the lengths of the diagonals p and q of the rhombus are 4√7 cm and 12√7 cm respectively.
What are the lengths of the diagonals of the rhombus?A rhombus which is called an equilateral quadrilateral is simply a quadrilateral whose all four sides have the same length.
The area of a rhombus is expressed as;
A = ( p × q )/2
Where p and q are the diagonals
Given the data in the question;
Let one of the diagonal be x.
Area of the rhombus = 168cm²Diagonal p = xDiagonal q = 3xPlug in the given values into the equation above and solve for x.
A = ( p × q )/2
168 = ( x × 3x )/2
168 = ( 3x² )/2
3x² = 168 × 2
3x² = 336
Divide both sides by 3
x² = 112
Take the square root of both sides
x = ±√112
x = ±4√7
Since the dimension of the rhombus cannot be negative,
x = 4√7
Hence, the length of the diagonals are;
Diagonal p = x = 4√7 cm
Diagonal q = 3x = 3( 4√7 ) = 12√7 cm
Given the area, the lengths of the diagonals p and q of the rhombus are 4√7 cm and 12√7 cm respectively.
Learn more about rhombus here: https://brainly.com/question/22825947
#SPJ1
4. (40 Pts) The Vacation Times website rates recreational vehicle campgrounds
using integers from 0 to 15. Last year they rated over 1,000 campsites. The
ratings were normally distributed with mean 7.6 and standard deviation 1.7.
a. How high would a campsite's rating have to be for it to be considered in
the top 10% of rated campsites? Round to the nearest hundredth.
b. Find the z-score for a rating of 5. Round to the nearest hundredth.
Using the normal distribution, it is found that:
a) The rating would have to be of at least 9.78.
b) The z-score for a rating of 5 is of -1.53.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given by:
[tex]\mu = 7.6, \sigma = 1.7[/tex]
For item a, we have to find the 90th percentile, which is X when Z = 1.28, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
1.28 = (X - 7.6)/1.7
X - 7.6 = 1.28 x 1.7
X = 9.78.
The rating would have to be of at least 9.78.
For item b, we have to find Z when X = 5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (5 - 7.6)/1.7
Z = -1.53.
The z-score for a rating of 5 is of -1.53.
More can be learned about the normal distribution at https://brainly.com/question/24808124
#SPJ1
Please Help!! Find the sum. In your final answer, include your calculations.
−3.45 + 5.1
8.55
Here's a video that could explain
https://youtu.be/WwKLA-6S-e0
Also when doing the math ignore the - sign, the larger number will determine if the answer will be a whole or a minus , let me explain, so as you see in the question the 5.1 is the largest so that means the answer will be a whole.
Assignment
Find the midpoint of the line segment with the given endpoints
1) (7,2), (-7, -9)
Both lines on the graph represent proportional relationships. What is the constant
of proportionality for each relationship? Explain how you know.
Each relationship's proportionality constants are k=3 and k=1, respectively.
What is the proportionality constant?The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.
Given that the relationship is proportional,
the equation linking the quantities is y = k x k, where k is the proportional constant.
Divide both sides by x to determine k
k = y/x
For graph a use the point (2, 6 ), then
k = 6/2
= 3
For graph b use the point (4, 4 ), then
k = 4/4
= 1
To know more about proportionality constant visit;
https://brainly.com/question/14864328
#SPJ9
if the chance of getting a disease is 20 out of 100, this would be the same as having how much of a percent chance of getting the disease?
If the chance of getting a disease is 20 out of 100, This would be the same as having a 20% chance of getting the disease
Define diseases?
A disease is a specific abnormal state that adversely affects an organism's structure or function on the whole or in part, and which is not immediately brought on by any external trauma. It's common knowledge that diseases are medical illnesses with recognizable indications and symptoms. A disease can be brought on by either internal dysfunctions or external sources like infections.
In humans, the term illness is frequently used to refer to any condition that results in suffering, dysfunction, anguish, social issues, or death for the person who is afflicted, as well as problems similar to these for those who come into touch with the person.
To learn more about diseases, visit:
https://brainly.com/question/943439
#SPJ4
What is the slope-intercept form of the equation of the line that passes through the point (-6, 1) and is perpendicul
to the graph of 2x + 3y = -5?
y=-x-8
y=-3x+1
y=x+1
y = x + 10
The equation of the line as it passes through the point (-6, 1) is
y = 3x/2 + 10
How to Calculate a Slope ?Slope is the same as gradient which is the ratio of change in y to change in x. That is,
gradient m = Δy / Δx
Given that the equation of the line passes through the point (-6, 1) and is perpendicular to the graph of 2x + 3y = -5
Let us first find the slope, 3y = -2x - 5
y = -2x/3 - 5/3
Slope m = -2/3
Let us use the formula Mm = -1
M = -1/m
M = -1 × -3 /2
M = 3/2
The equation of the line as it passes through the point (-6, 1) will be
M = (Y - Y1) / (X - X1)
3/2 = (y - 1) / (x + 6)
Cross multiply
2(y - 1) = 3(x + 6)
2y - 2 = 3x + 18
Collect the like time
2y = 3x + 18 + 2
2y = 3x + 20
y = 3x/2 + 10
Therefore, the equation of the line as it passes through the point (-6, 1) is y = 3x/2 + 10
Learn more about Gradient here: https://brainly.com/question/21727173
#SPJ1
find the measure of each lettered angle. a=, b=, c=, d=, e=
Answer:
a= 20
b= 70
c= 20
d=70
e=110
Step-by-step explanation:
a + the 70 degree angle have to equal 90 degrees (the right angle marking) and the same with b + a. So to ind a, you do 90-70 and to find b, because you now have the value of a, you do 90-20.
a+b+c+70 is equal to a 180 degree angle, so since you know the value of a and b, now you can figure out c by doing 180-(70+20+70).
d and the 70 degree angle are vertical angles so they are equal to each other.
lastly for e, d+e is equal to 180 degrees so since you know the value of d, you just do 180-70 to find e.
Answer:
a = 20°
b = 70°
c = 20°
d = 70°
e = 110°
Step-by-step explanation:
Angle A is complementary with 70°, so they add together to = 90° (as indicated by the 90° mark).
90° - 70° = 20°
Angle A = 20°
Angle B is complementary with angle A, 20°, so they also add together to = 90°.
90° - 20 = 70°
Angle B = 70°
Although not indicated by a 90° mark, Angle C and Angle B are complementary since they share a straight line with the complementary angles A and 70°. This means Angles C + B = 90°
90° - 70° = 20°
Angle C = 20°
Angle D is vertical to 70°, so Angle D = 70°
Angle E is supplementary to 70°, so they should combine to = 180°
180° - 70° = 110°
Angle E = 110°
Kiara and Donovon attend different middle schools. They both went to their schools’ winter carnivals. Kiara paid a $5 entrance fee and bought several tickets costing $0.75 each for games and rides. Donovon paid a $7 entrance fee and bought several tickets costing $0.50 each for games and rides. How many tickets, x , must Kiara and Donovan each buy in order for the cost of attending their school carnivals to be the same?
A. 8 tickets
B. 10 tickets
C. 28 tickets
D. 48 tickets
Answer:B
Step-by-step explanation:
5 less than 10 times a number is 2 times than number plus 6
Group of answer choices
11/8
11
8
6
A rectangular book measures 12 x 15. What is the length of
its diagonal?
Round the answer to the nearest tenth.
how can you represent 0.721 without using hundredths?
0.721 can be written in scientific notation as 7.21 x [tex]10^{-1}[/tex]
What is scientific notation?Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example:
1 x 10² is equivalent to 100
1 x [tex]10^{-1}[/tex] is equivalent to 0.1
To convert 0.721, multiply and raise 10 to the power of -1
by 10 = 7.21 x [tex]10^{-1}[/tex]
To learn more about scientific notation, please check: https://brainly.com/question/25334755
#SPJ1
which of these equations are shown on the graph?
The equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3
Equation of a lineFrom the question, we are to determine the equation that represent the given line
To determine the equation, we will pick two points on the line and determine the equation of the line
Picking the points (0, 3) and (3, 9)
Using the formula for the finding the equation of a line with two given points
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
x₁ = 0
y₁ = 3
x₂ = 3
y₂ = 9
Then,
(y - 3)/(x - 0) = (9 - 3)/(3 - 0)
(y - 3)/x= 6/3
(y - 3)/x= 2
y - 3 = 2x
y = 2x + 3
Hence, the equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3
Learn more on Equation of a line here: https://brainly.com/question/4074386
#SPJ1
Please help please I’m in desperate need
Answer:
ok I will help u don't worry
is this statement true or false? the imaginary line which passes through the north and south poles, upon which the earth rotates once every 24 hours is called the prime meridian.
It is False that the imaginary line which passes through the north and south poles, upon which the earth rotates once every 24 hours is called the prime meridian. .
Where is prime meridian located?In a geographic coordinate system, a prime meridian is any line of longitude when longitude is defined to be 0°. A great circle is formed by a prime meridian and its anti-meridian (the 180th meridian in a 360° system).
A spheroid, like the Earth, is divided into two hemispheres by this vast circle: the Eastern Hemisphere and the Western Hemisphere (for an east-west notational system).
Different conventions have been used or supported for Earth's prime meridian throughout history in various places. The IERS Reference Meridian is the current international prime meridian for the Earth. It is developed from the former Greenwich Meridian, however it is somewhat different.
To learn more about prime meridian from given link
https://brainly.com/question/4039625
#SPJ4
How many three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even?
126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even
For given question,
We need to find number of three-digit numbers formed using elements from the set {1,2,3,4,5,6,7,8} if no element may be used more than once in a number and the number must be even.
3-digit even numbers are to be formed using the given six digits,1 ,2,3,4,6,7, and 8 without repeating the digits.
Then, units digits can be filled in 4 ways by any of the digits, 2,4, 6 or 8.
Since the digits cannot be repeated in the 3-digit numbers and units place is already occupied with a digit (which is even), the hundreds and tens place is to be filled by the remaining 7 digits.
So, the number of ways in which hundreds and tens place can be filled with the remaining 7 digits is the permutation of 7 different digits taken 2 at a time.
[tex]\Rightarrow ~^7P_2=\frac{7!}{(7-2)!} \\\\\Rightarrow ~^7P_2=42[/tex]
Thus, by multiplication principle, the required number of 3-digit numbers is 3 × 42 = 126
Therefore, 126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even
Learn more about the permutation here:
https://brainly.com/question/16837159
#SPJ4
2/3 of a number is 12. What is 1/2 the number?
Answer:
Step-by-step explanation:
the number is 18, so half of that would be
. If the lesser of two consecutive even integers is five more than half the greater,
what are the two integers?
Answer:
12 and 14
Step-by-step explanation:
You want two consecutive even integers such that the lesser is five more than half the greater.
SetupLet x represent the lesser of the integers. Then x+2 is the greater, and we can write the given relation as ...
x = (x+2)/2 +5 . . . . . lesser is 5 more than half the greater
SolutionMultiplying by 2 gives ...
2x = x +2 +10
x = 12 . . . . . . . . subtract x
x+2 = 14
The two integers are 12 and 14.
Given that f(x)=6x+5 and g(x)=2x−7, what would be the composite function (f∘g)(x)?
Answer:
f ◦ g is the composition function that has f composed with g. ... Find (f ◦ g)(x) for f and g below. f(x)=3x + 4. (6) g(x) = x2 +. 1 x. (7).
Step-by-step explanation:
What is this type of polynomial?
13x² + 17x +3
Answer:
This is a quadratic (second-degree) polynomial.
During her visit to zoo, Ivy stops by the café and orders a chicken fajita taco and a juice. If she
pays for her order with a $10.00 bill, how much change will she receive? Show your work
Answer:
$4.7
Step-by-step explanation:
= f(x)= 4 -x, for what input is the output 7
Answer:
-3
Step-by-step explanation:
Rewrite as follows and solve for x:
7 = 4 - x
Add x to both sides to get positive x
x + 7 = 4
Subtract 7 from both sides to get x by itself
x = -3
18 12 over 7 minus 2
Answer: whats the answer choices
Step-by-step explanation: i dont get it
Answer:
1,798/7
Step-by-step explanation:
1812/7-2 (or it can be written as 14/1 because you getting rid of two sevenths)