Answer:
15
Step-by-step explanation:
f(x) = 5(2-x)
if f(-1)
f(-1) = 5(2-(-1))
= 5(2+1)
= 10 + 5
= 15
The tangent of the curve f(t) =2+nt+mt^2 at point (1,1/2) is parallel to the normal g(t)= t^2+6t+13(-2,2), calculate the values m and n.
Step-by-step explanation:
The slope of g(t) as (-2,2) is given by
[tex]g'(t)=2t+6[/tex]
[tex]g'(-2)=2(-2)+6=2[/tex]
Since the normal is parallel to the tangent of f(t) at (1, 1/2),
The tangent line of f(t) has a slope of
[tex]\dfrac{d}{dx}f(t)=n+2mt=2[/tex]
At point (1, 1/2), we know
[tex]f'(1)=n+2m=2[/tex]
[tex]f(1)=2+n(1)+m(1)^2=2+n+m=\frac12[/tex]
Solving,
[tex]n=5, m=-\frac72[/tex]
Grayson placed an order for 1/2 of a sack of brown lentils and 1/12 of a sack of green lentils. How much more brown lentils did Grayson order? Write your answer as a fraction or as a whole or mixed number.
You have been working with irregular figures. How is estimating area on a grid different from estimating perimeter on a grid? Explain.
Answer:
When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape
Step-by-step explanation:
Fill in the missing terms for the geometric sequence
What is the common ratio for this geometric sequence?
___, -11, 22, ___, 88, -176
Common ratio:
Step-by-step explanation:
11/2, -11, 22, -44, 88, -176
common ratio : 22/(-11) = -2
6 Σ n=1 n/2n + 1
Ignore the selected answer, I accidentally clicked, please help
Answer:
Answer is the second circle will explain later but the second circle the middle one
[tex]\begin{array}{l}\sum _{n=1}^{6}\frac{n}{2n+1} =\frac{1}{2\cdotp 1+1} +\frac{2}{2\cdotp 2+1} +\frac{3}{2\cdotp 3+1} +\frac{4}{2\cdotp 4+1} +\frac{5}{2\cdotp 5+1} +\frac{6}{2\cdotp 6+1}\\\\\sum _{n=1}^{6}\frac{n}{2n+1} =\frac{1}{3} +\frac{2}{5} +\frac{3}{7} +\frac{4}{9} +\frac{5}{11} +\frac{6}{13}\end{array}[/tex]
Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown.
a. Give your 10 numbers.
b. Give the 5-number summary for your data.
c. Describe your strategy for figuring this out.
The 10 hypothetical numbers which meets the conditions given on the question may include :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary include the maximum, minimum, lower quartile, Median and upper quartile of a distribution.
The five number summary of the hypothetical data are:
Median: 6
Minimum: 1
Maximum: 12
Lower quartile: 2.75
Upper quartile: 10
Comparing the 5 - number summary of the hypothetical data with that of the given boxplot.
From the given boxplot shown :
Minimum value = 1
Maximum value = 12
Median = 6
LOWER QUARTILE, Q1 = 4
UPPER QUARTILE, Q3 = 8
IQR = (Q3 - Q1) = 8 - 4 = 4
THE 10 made up numbers :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary for the made up data :
Median = 1/2(n+1)th term = 5.5th term = (6+6)/2 = 6
Minimum: 1
Maximum: 12
First quartile = 1/4(n+1)th = 2.75th term = (2+3)/2 = 2.5
Third quartile: 3/4(n+1)th term = 8.25 = (10+10)/2 = 10
Interquartile Range: (10 - 2.5) = 7.5
The original data values and hypothetical data have the same minimum and maximum and median values. The hypothetical data has an higher IQR value than the original data.Learn more : https://brainly.com/question/12992903?referrer=searchResults
A bag is filled with green and blue marbles. There are 41 marbles in the bag. If there are 15 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
Find the solution by setting up an equation. You have two choices for how you will pick your variable. For each of the following variable choices, write an equation (just set up the equation, do not solve it yet) that describes the relationship between the number of green marbles, the number of blue marbles, and the total number of marbles in the bag:
there will be 26 blue marbles
Step-by-step explanation:
41-15=26
-5/12+5/8 what is the answer to this
Answer:
5/24
Step-by-step explanation:
-5/12+5/8
-10/24+15/24
5/24
Find the area and the circumference of a circle with diameter 9 ft.
Answer:
area=63.585 circumference=28.26
Step-by-step explanation:
Stephanie is making smoothies. She needs 1/3 cup of milk and 3/4 cup of bananas.How many total cups of ingredients does she need?.
Answer:
1 and 1/12
Step-by-step explanation:
1/3 + 3/4 = 1 and 1/12
Kim worked these hours last week: Monday 8, Tuesday 7.5, Wednesday 6.5, Thursday 3, and Friday 9 hours. She is paid $20.25 per hour. (a) How many hours did Kim work last week? (b) What was her gross pay for the week?
Hours (a) Gross Pay ()
I need help with 12 13 and 14
Answer: Lines [tex]\frac{}{BC}[/tex] and [tex]\frac{}{EF}[/tex] are different lengths.
Step-by-step explanation:
The distance formula is [tex]\sqrt{(x_1-x_2) ^{2}+(y_1-y_2) ^{2} }[/tex], and you can use this formula to solve for the lengths of both lines [tex]\frac{}{BC}[/tex] and [tex]\frac{}{EF}[/tex].
For line [tex]\frac{}{BC}[/tex], let [tex]x_{1}[/tex] = the x at point B, or 1, and let [tex]x_{2}[/tex] = the x at point C, or 2.
Now, let [tex]y_{1}[/tex] = the y at point B, or 4, and let [tex]y_{2}[/tex] = the y at point C, or -1.
Now, solve the formula to find the length [tex]\frac{}{BC}[/tex] = [tex]\sqrt{(x_1-x_2) ^{2}+(y_1-y_2) ^{2} }\\[/tex].
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{(1-2)^{2} +(4-(-1))^2[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{(-1)^{2} +(4+1)^2[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{1 +5^2[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{(1+25)[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{26} \\[/tex]
Now, for line [tex]\frac{}{EF}[/tex], let [tex]x_{1}[/tex] = the x at point E, or -4, and let [tex]x_{2}[/tex] = the x at point F, or -1.
Let [tex]y_{1}[/tex] = the y at point E, or -3, and let [tex]y_{2}[/tex] = the y at point F, or 1.
Now, solve the formula to find the length [tex]\frac{}{EF}[/tex] = [tex]\sqrt{(x_1-x_2) ^{2}+(y_1-y_2) ^{2} }\\[/tex].
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(-4-(-1))^{2} +(-3-1)^2[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(-4+1)^{2} +(-4)^2[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(-3)^2+16[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(9+16)[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{25}[/tex]
[tex]\frac{}{EF}[/tex] = 5
Now, look back at [tex]\frac{}{BC}[/tex]. The two lines have different lengths, so you have now justified the fact that they are not the same.
Questions 13 and 14 would be solved in much the same way- but please let me know if you want me to show the work for those as well!
I need help with this, thanks
Answer: -2x
Step-by-step explanation:
i'm pretty sure that's right ;)
The triangle inequality Theorem states that the sum of the lengths of any two sides of the triangle is greater than the length of the third slide. The lengths of two sides of a triangle are 14ft and 27ft. Find the possible lengths of the third side
The third slide must have a length greater than __ft and less than _ft
Answer:
12 < x < 42 or x | ( 12,42 ) ft.
Step-by-step explanation:
15 + 27 = 42; 27 − 15 = 12 . Therefore the third side must be
less than 42 ft ant greater that 12 ft. Therefore possible length
of third side of size x is 12 < x < 42 or x | ( 12,42 ) ft [Ans]
A kindergarten class has a student-teacher ratio of 15 to 2. Is it possible to have 35 students
in the class? Explain your reason in words.
Answer:
No it is not possible, cuz 35 students would need 4.6 teachers, it is not a whole number
Step-by-step explanation:
STUDENT : TEACHER
15 : 2
35 : 4.66
So according to the ratio, if we had 35 students, we would need 4.66 Teachers, but that is not possible, cuz i mean, u obviously can't cut the human into pieces and call that 0.66
another riddle no cheating >:(
Three doctors said that Bill was their brother. Bill says he has no brothers. How many brothers does Bill actually have?
True or false?
Two samples are selected from a population, and a treatment is administered to the samples. If both samples have the same mean and the same variance, you are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.
True, two samples are selected from a population, and a treatment is administered to the samples. If both samples have the same mean and the same variance, you are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given:
Two samples are selected from a population, and a treatment is administered to the samples.
If both samples have the same mean and the same variance.
That means, they have the same t statistic.
A t-test compares the average values of two data sets and determines if they came from the same population.
You are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.
Because the value of t-test are same.
Therefore, the statement is true.
To learn more about the mean;
brainly.com/question/13451489
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What is the range of the following function?
Answer:
[tex][-5,5][/tex]
Step-by-step explanation:
The range is the y-axis, and the endpoints are filled in, so we put brackets.
Side note:
This is called Interval Notation. This is very important when you ask for the domain and range of functions (domain is for the x-axis). You will see this system A LOT, so you have to get used to the name and the language Interval notation uses.
The diagram below shows a sketch of part of the graph y = ax+ bx + 3.
The two points V and W each lie on the graph and have co-ordinates (-1,10) and (2.13).
W
(2,13)
V
(-1,10)
Diagram is
NOT to scale
Find the values of the numbers a and b.
Answer:
Step-by-step explanation:
There appears to be a problem with your equation as it can be reduced to
y = (a + b)x + 3
which is a line of slope (a + b) and y intercept of 3
plugging in our points
10 = -1(a + b) + 3
7 = -1(a + b)
a + b = -7
13 = 2(a + b) + 3
10 = 2(a + b)
a + b = 5
a + b cannot equal both 5 and -7 at the same time.
I will GUESS that you mean y = ax² + bx + 3
10 = a(-1)² + b(-1) + 3
10 = a - b + 3.
b = a - 7
13 = a(2)² + b(2) + 3
13 = 4a + 2b + 3
10 = 4a + 2b
10 = 4a + 2(a - 7)
10 = 4a + 2a - 14
24 = 6a
a = 4
b = 4 - 7
b = -3
Simply the expression below using order of operations (5^2 -6^2)+5(8-12 ÷3)
Answer:
9
Step-by-step explanation:
The first operation is what inside the braces
1-first comes the multiple and the division
2- then the + and the -
1- (25-36)+5(8-4)
2- (25-36) + 5×4
3- (-11) + 20 =9
How tall is the table?
Answer:
what table
Step-by-step explanation:
What is 100x 2 plus 4 divided by 5 equal to?
26 POINTS HELP ASAP!
A banker has an annual income of $75,234. The income tax she has to pay is 7%. What is the amount of income tax the banker has to pay?
(NUMBERS ONLY NO $ SIGN NO COMMA)
A banker has an annual income of $75,234. The income tax she has to pay is 7%. What is the amount of income tax the banker has to pay?
Solution:To solve the problem, we need to use the formula. P = B × R
Percentage = Base × RateP = B × RP = 75,234 × 7%P = 75,234 × 0.07P = 5,266.38Answer:Therefore, the amount of income tax the banker has to pay is 5,266.38.please help me, if you help then thank you
Answer:
He should have subtracted the exponents
Step-by-step explanation:
I need some help in figuring out the bottom left blank ASAP! Please Help
Answer:
Inequality notation R
Step-by-step explanation:
Domain is represented by the letter D
Range is represented by the letter R
if a *b=4a+2ab find the value of
a) 2*5
b)3*4
Answer:
a
Step-by-step explanation:
First identify which number represent the given letters
in the first question a)2 represents a, while 5 represents b.Then substitute 2 for a and 5 for b in the given expression.Do this for the second question.
8,595 ÷ 24?
334 R 3
334 R 7
358 R 3
358 R 7
Answer:
358 R 3
Step-by-step explanation:
What is the equation of the line in point-slope form and slope-intercept form that is
perpendicular to the line
4x - 3y = 30 and passes through the point (-8, 7)?
9514 1404 393
Answer:
y -7 = -3/4(x +8)y = -3/4x +1Step-by-step explanation:
The slope of a line in the form ...
ax +by = c
is ...
m = -a/b
So, the slope of the given line is ...
-4/(-3) = 4/3
The slope of the perpendicular line is the opposite reciprocal of this,
m' = -1/(4/3) = -3/4
__
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Then your perpendicular line with slope -3/4 through point (-8, 7) is ...
y -7 = -3/4(x +8)
Rearranging to slope-intercept form, we get ...
y = -3/4x -3/4(8) +7
y = -3/4x +1
Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?
Answer:
9180
Step-by-step explanation:
9000*1.02
Answer:
There will be $8820 in Monico's account at the end of the one year period.
Step-by-step explanation:
9000*0.02 = 180
9000 - 180 = 8820
Have a nice day! :-)
concert the following
i) 2 hour into second
ii) 8 km into meter
Step-by-step explanation:
1 hours = 60
1 m = 60 sec
so 2 × 60 × 60 = 7200 sec
1 km = 1000m
8 km= 8000m
Answer:
2 hours into seconds is 7200 seconds.
8 kilometers into meters is 8000 meters.
Step-by-step explanation:
To convert hours into seconds, multiply the number of hours by 3600.
To convert kilometers into meters, multiply the number of kilometers by 1000.
