The circumference of the circle in this problem is given as follows:
C = 32.42 cm.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
\(C = 2\pi r\)
First we must obtain the diameter of the circle, given by segment MON, appying the Pythagorean Theorem, as follows:
d² = 3.5² + 9.7²
d = square root of (3.5² + 9.7²)
d = 10.31 cm.
The radius of a circle has half the length of the diameter, hence it is given as follows:
r = 0.5 x 10.31
r = 5.16 cm.
Then the circumference of the circle is given as follows:
C = 2 x 3.1415 x 5.16
C = 32.42 cm.
More can be learned about the circumference of a circle at https://brainly.com/question/12823137
#SPJ1
Solve the following equation.
(13 x+10)+2 x=90
Answer:
x = 5(5/15) = 5.333
Step-by-step explanation:
13x +2x +10 = 90
15x 10 = 90
15x = 90 -10
15x = 80
x = 80/15
x = 5(5/15)
What is the slope of the line shown. What is the slope? Use the graph shown below.
Answer:
This is it.
Step-by-step explanation:
A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7. How much money did the class earn by selling tickets to the play?
Answer:
722059884 if there are 232323 students
if there are 23 students its 71484
Step-by-step explanation:
hope this helps
Answer: The answer is 644
Step-by-step explanation:
23x4x7=644
"""
Sample code for question 2
We will solve the following equation
2t^2*y''(t)+3/2t*y'(t)-1/2t^2*y(t)=t
"""
import numpy as np
import as plt
from scipy.integrate import odeint
#De
The general solution to the non-homogeneous equation is,
y(t) = c₁\(t^{1/2}\) + c2/t + t - 1/(2t³)
where c₁ and c₂ are constants determined by the initial or boundary conditions of the problem.
Now, For this differential equation, we will use the method of undetermined coefficients.
We first need to find the general solution to the homogeneous equation:
2t²*y''(t) + (3/2t)*y'(t) - (1/2t²)*y(t) = 0
We assume a solution of the form y_h(t) = \(t^{r}\). Substituting this into the equation, we get:
2t²r(r-1)*\(t^{r - 2}\) + (3/2t)*r * \(t^{r - 1}\) - (1/2t²)* \(t^{r}\) = 0
Simplifying, we get:
2r*(r-1) + (3/2)*r - (1/2) = 0
Solving for r, we get:
r = 1/2, -1
Therefore, the general solution to the homogeneous equation is:
y_h(t) = c₁\(t^{1/2}\) + c₂/t
To find a particular solution to the non-homogeneous equation, we assume a solution of the form y_p(t) = At + B.
Substituting this into the equation, we get:
2t²y''(t) + (3/2t)y'(t) - (1/2t²)*y(t) = t
Differentiating twice, we get:
2t²*y'''(t) + 6ty''(t) - 3y'(t) + (1/t²)*y(t) = 0
Substituting y_p(t) into this equation, we get:
2t²0 + 6tA - 3A + (1/t²)(At + B) = 0
Simplifying, we get:
(A/t)*[(2t³ - 1)B + t⁴] = t
Since this equation must hold for all values of t, we equate the coefficients of t and 1/t:
(2t³ - 1)B + t⁴ = 0
A/t = 1
Solving for A and B, we get:
A = 1
B = -1/(2t³)
Therefore, a particular solution to the non-homogeneous equation is:
y_p(t) = t - 1/(2t³)
So, The general solution to the non-homogeneous equation is the sum of the homogeneous and particular solutions:
y(t) = c₁\(t^{1/2}\) + c2/t + t - 1/(2t³)
where c₁ and c₂ are constants determined by the initial or boundary conditions of the problem.
Learn more about the equation visit:
brainly.com/question/28871326
#SPJ4
which values are solutions to the inequality -3(x)-4<2
Answer:
x>-2
Step-by-step explanation:
So, lets start by distrubuting the -3 to x:
-3x-4<2
Then lets just start solving. First lets add 4 to both sides to get -3x alone:
-3x<6
Now lets divide -3 from both sides to get x alone:
x<-2
There is one thing we must remember, however.
When dividing a inequality by a negative, the sign is flipped.
So in this case, the < is now >:
x>-2
This basically means a solution is any value greater than -2!
Hope this helps!
Write the equation of the line that goes through (4,5)
and (8,7).
a)x+5 a) y = 1/2x+4,5
b) y = /2x+3
c) y=2x-4.5
d) y=2x-3
To find the equation of a line that goes through two points, you can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where "m" is the slope of the line and "b" is the y-intercept (the point where the line crosses the y-axis).
To find the slope of the line, you can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
In this case, we are given the points (4, 5) and (8, 7), so we can plug these values into the formula for the slope:
m = (7 - 5) / (8 - 4)
= 2 / 4
= 1/2
Now that we know the slope of the line, we can use the point-slope form of the equation of a line to find the equation of the line:
y - y1 = m(x - x1)
where (x1, y1) is any point on the line and "m" is the slope of the line.
In this case, we are given the point (4, 5), so we can plug these values into the formula:
y - 5 = (1/2)(x - 4)
y = (1/2)x + 3
So, the equation of the line that goes through (4,5) and (8,7) is y = (1/2)x + 3.
Therefore, the correct answer is (b) y = /2x+3.
Can somebody help me, please?
I just need help with #12
the first attachment is supposed to help and the second attachment has the question I need to be answered. Please show your work
Answer: x = 9.6
=========================================================
Explanation:
We have two smaller right triangles that are glued together so to speak.
The base of the smaller triangle on the left is 5 while the height is h.
Let's use the tangent rule to find the value of h
tan(angle) = opposite/adjacent
tan(55) = h/5
5*tan(55) = h
h = 5*tan(55)
h = 7.14074003371058
Make sure your calculator is in degree mode. That value of h above is approximate.
--------------------------
Now focus on the smaller triangle on the right
It has the same height value h. This side is the adjacent side while x is the hypotenuse.
We'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(42) = h/x
cos(42) = 7.14074003371058/x
x*cos(42) = 7.14074003371058
x = 7.14074003371058/cos(42)
x = 9.6088135029715
x = 9.6
Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the length of its radius
Answer:
Half; twice
Step-by-step explanation:
In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".
Thus,
2r = d
r = d/2
For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.
Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius
Jenny is organising a party,
She buys some paper plates and some plastic cups.
Paper plates are sold in packs.
There are 25 plates in a pack,
Each pack costs 78p.
Plastic cups are sold in packs.
There are 35 cups in a pack.
Each pack costs £1.10
Jenny buys exactly the same number of plates and cups.
What is the least amount of money she pays?
5 Marks
Can someone help me please!!!
Kristy dad makes 3 times as much per hour as she does. If he makes $48 per hour, how much per hour, how much per hour does kristy make
Answer:
Kristy makes 16 per hour.
Step-by-step explanation: Divded 48 by 3.
pls pls help whoever gets it right gets marked brainliest
Answer:
\(x + 2 = - 3x\)
\( - 4x = 2\)
\(x = - \frac{1}{2} \)
\( - 3( - \frac{1}{2} ) = \frac{3}{2} = 1 \frac{1}{2} \)
So the lines intersect at (-1/2, 1 1/2), or
(-.5, 1.5).
Question Part
Points
Submissions Used
You are given the information that P(A) = 0.30 and P(B) = 0.40.
(a) Do you have enough information to compute P(A or B)? Explain
(b) If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain.
(a) Yes, we have enough information to compute Probability P(A or B).
(b) If we know P(A) and P(B), we have enough information to compute P(A or B).
(a) The probability of the union of two events (A or B) is given by the formula P(A or B) = P(A) + P(B) - P(A and B)
We know P(A) and P(B), but we don't know P(A and B) - the probability that both events occur simultaneously. Therefore, we cannot compute P(A or B) with certainty unless we are given additional information about the relationship between A and B.
(b) If we know that events A and B are mutually exclusive, then we have enough information to compute P(A or B). Mutually exclusive events are events that cannot occur simultaneously, which means that P(A and B) = 0.
In this case, the formula for the probability of the union simplifies to:
P(A or B) = P(A) + P(B)
Since we know P(A) and P(B), we can simply add them to obtain P(A or B). Therefore, in this case, we have enough information to compute P(A or B).
Learn more about Probability :
https://brainly.com/question/18882393
#SPJ4
ZA and ZB are supplementary angles. If m A = (7x + 10º and mZB = (7x – 26), then find the measure of ZA.
ZA and ZB are supplementary angles. If m A = (7x + 10º and m
ZB = (7x – 26), then find the measure of ZA.
we know that
If two angles are supplementary, then tier sum is equal to 180 degrees
so
substitute the given values
7x+10+7x-26=180
14x=180+16
14x=196
x=14
FInd the measure of angle A
PLEASE HELP I WILL GIVE BRAILIEST PLSSSSHELP
Simplify (6⁵ / 7³)²
a- 6⁷ / 7³
b- 6¹⁰ / 7⁶
c- 6³ / 7
d- 12⁵ / 14³
b. 6¹⁰ / 7⁶
Step-by-step explanation:(6⁵/7³)²
6 × 6 × 6 × 6 × 6 = 7776
7 × 7 × 7 = 343
(7776/343)²
7776²/343²
7776 × 7776 = 60.466.176
343 × 343 = 117.649
6¹⁰/7⁶
6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 = 60.466.176
7 × 7 × 7 × 7 × 7 × 7 = 117.649
6¹⁰ = 7776²
7⁶ = 343²
= b. 6¹⁰ / 7⁶
Given that Justin is collecting data on reaction time, what type of data is he working with?
Select the correct answer below:
A. qualitative
B. discrete quantitative
C. continuous quantitative
D. none of the above
Since reaction time is measured and not constrained to a specific range of numbers, it is continuous quantitative data.
'What is continuous quantitative?'
A continuous data set is a quantitative data set that represents a scale of measurement that includes fractions and decimals in addition to whole integers. Values like height, weight, length, temperature, and other similar metrics would be included in continuous data sets. They are items that can be quantified in decimals and fractions. A continuous data set typically requires the use of a tool, such as a ruler, measuring tape, scale, or thermometer, to create the numbers.
know more about decimals here
https://brainly.com/question/29765582#
#SPJ4
Plot the image of point C under a reflection across line
When the image of point C is reflected across the line, then it's written as C'.
what is the answer to 47000 + 3000 x 40 =
167,000
Step-by-step explanation:
47000 plus 3000 mutipled by 40 gives you your answer
Answer:
167000
Step-by-step explanation:
3000 x 40 = 120000
120000 + 47000 = 167000
Given the conditional statement:
p <
Choose the logically equivalent statement.
Op →q
-p-9
9 → P
9-→ -p
Answer:
the third one
Step-by-step explanation:
B = p ∩ q
B is the common part of p and q
The conditional statement P→Q is logically equivalent to its contrapositive ¬Q→ ¬P .
What is Conditional Statement?Conditional statements are ones that begin with a hypothesis and end with a conclusion or rationale. It is sometimes referred to as the "If-then" statement.
In mathematics, a statement is a declarative utterance that can only be true or false. A statement is sometimes known as a proposition. It is critical that there be no ambiguity.
A contrapositive assertion is created when we reverse the hypothesis and conclusion of a statement and disprove both of them.
To put it another way, we must first find the inverse of the supplied conditional statement before swapping the places of the hypothesis and conclusion to find the contrapositive.
We have, p→q , then the inverse of both the statements is given by ¬p and ¬q .
So, the contrapositive statement will be ¬p → ¬q
learn more about conditional statements here:
brainly.com/question/18152035
#SPJ2
For liner function f, f (2) = 0 and f (4) = -6.
Write function F in slope intercept form
How do you find the slope of the line when you have two points?
Answer:
Step-by-step explanation: y = -3x + 6
David purchased 1.5 pounds of apples that cost 3.60 per pound. If he gave the cashier a twenty dollar bill, how much change would he receive?
how do i do this I forgot how to do this and I have a test tomorrow
Answer:
Step-by-step explanation:
(1 + 11)/(-2+5)= 12/3=4
y + 11 = 4(x + 5)
y + 11 = 4x + 20
y = 4x + 9
Slope = -1, through point (-3,5)
The equation of the line having slope = -1 and passing through a point (-3, 5) is y = -x + 2 and graph is given below.
The general equation of a line is y = m × x + c, where m is the slope and c is the y-intercept of the line.
Given slope is equal to -1.
Therefore the equation of the required line is y = (-1) × x + c.
Given that this line passes through the point (-3, 5).
Therefore we have 5 = (-1) × (-3) + c
⇒ 5 = 3 + c
⇒ 5 - 3 = c
⇒ 2 = c
⇒ c = 2
Therefore the y-intercept of the required line in cartesian coordinate form is (0, 2).
Therefore the required equation of the line is y = (-1) × x + 2
⇒ y = -x + 2.
Refer to the attached image for the graph of this line.
Learn more at:
https://brainly.com/question/27896581
#SPJ9
Disclaimer: The question is not incomplete.
Assuming the following as the complete question.
Find the equation of the line having slope = -1, through point (-3,5) and also draw the graph of the line.
evaluate without a calculator: tan (sin-1 ((√ 7)/7)
let's say for a second that that angle is θ, so we can say that
\(sin^{-1}\left(\cfrac{\sqrt{7}}{7} \right)=\theta \qquad therefore\qquad tan\left[ sin^{-1}\left(\cfrac{\sqrt{7}}{7} \right) \right]\implies tan(\theta ) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{this really means}}{sin^{-1}\left(\cfrac{\sqrt{7}}{7} \right)=\theta}\implies \cfrac{\stackrel{opposite}{\sqrt{7}}}{\underset{hypotenuse}{7}}=sin(\theta )\)
let us notice something, the opposite side is positive, that means either the I or II Quadrant, however the sin⁻¹ function has a range constrained to π/2 to -π/2, which excludes the II Quadrant, so that means that θ must be on the I Quadrant, where the adjacent side or cosine or "x" is positive too.
now, let's use the pythagorean theorem to get the adjacent side for θ
\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=\stackrel{hypotenuse}{7}\\ a=adjacent\\ b=\stackrel{opposite}{\sqrt{7}}\\ \end{cases} \\\\\\ \pm\sqrt{7^2-(\sqrt{7})^2}=a\implies \pm\sqrt{42}=a\implies \stackrel{I~Quadrant}{+\sqrt{42}=a} \\\\[-0.35em] \rule{34em}{0.25pt}\)
\(tan(\theta )\implies \cfrac{\stackrel{opposite}{\sqrt{7}}}{\underset{adjacent}{\sqrt{42}}}\implies \cfrac{\sqrt{7}\cdot \sqrt{42}}{\sqrt{42}\cdot \sqrt{42}}\implies \cfrac{\sqrt{294}}{42}\implies \cfrac{7\sqrt{6}}{42}\implies \cfrac{\sqrt{6}}{6}\)
A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +2. It then crawls 3.5 centimeters left, 4.8 centimeters right, and 7.9 centimeters left.
What is the total distance the ant crawled along the number line?
HELP PLEASE
The total distance the ant crawled on the number line is 16.2 centimeters
How to find the total distanceThe distance the ant crawled is all added to minding if it were positive or negative.
Summation of this nature gives absolute values
Hence using addition the total distance is calculated
= 3.5 centimeters + 4.8 centimeters + 7.9 centimeters
= 16.2 centimeters
Learn more absolute values here:
https://brainly.com/question/29419639
#SPJ1
H name seven segments that skew to segment vw
Segments that skew to segment VW are mentioned below.
Define skew.A deviation from the symmetrical bell curve, or normal distribution, in a set of data is referred to as skewness. The curve is said to be skewed if it is displaced to the left or right. Skew lines are two lines in three-dimensional geometry that neither cross nor are parallel. The two lines that pass through the opposing edges of a normal tetrahedron are a straightforward illustration of a pair of skew lines. A distribution is said to be "skewed right" if the tail is to the right. A distribution is said to be "skewed left" if the tail is to the left. The histogram on top represents a right-skewed distribution.
Given,
Segments that skew to segment VW are:
UZ
TY
SX
ZY
XY
TU
ST
To learn more about skew, visit:
https://brainly.com/question/3907939
#SPJ13
If y=a^n; then change in y/y= n(change in a/a)
So the final expression is: (change in y/y) = n (change in a/a).
We can start by taking the natural logarithm of both sides of the equation:
ln(y) = ln(aⁿ)
Using the rule that ln(aⁿ) = n ln(a), we can simplify this to:
ln(y) = n ln(a)
Next, we can take the derivative of both sides with respect to a:
d/d(a) ln(y) = d/d(a) (n ln(a))
Using the chain rule, we can simplify the right-hand side to:
d/d(a) ln(y) = n (1/a)
Now, we can multiply both sides by a/y:
a/y * d/d(a) y = n(a/y) * (1/a)
Simplifying, we get:
dy/y = n da/a
To know more about derivative,
https://brainly.com/question/25324584
#SPJ11
WILL GIVE BRAINLIST TO BEST ANSWER
find the value of x
14 and 12
14 ) x + 37 + 37 = 180
or , x + 74 = 180
or , x = 180 - 74
or , x = 106
find a parametrization for the curve described below. the line segment with endpoints (-4,5) and (-9,-10) calculator
A parametrization for the line segment with endpoints (-4,5) and (-9,-10) is given by x = -4 - 5t and y = 5 - 15t, where 0 ≤ t ≤ 1.
To find a parametrization for the given line segment with endpoints (-4,5) and (-9,-10), we can use the parametric form of the equation of a straight line, which is given by x = x1 + t(x2 - x1) and y = y1 + t(y2 - y1), where (x1,y1) and (x2,y2) are the endpoints of the line segment and t is a parameter that varies from 0 to 1.
Taking (x1,y1) = (-4,5) and (x2,y2) = (-9,-10), we get the following parametric equations for the line segment:
x = -4 + t(-9 - (-4)) = -4 - 5t
y = 5 + t(-10 - 5) = 5 - 15t
The parameter t varies from 0 to 1, so as t ranges from 0 to 1, the point (x,y) traces out the line segment joining the points (-4,5) and (-9,-10).
Therefore, a parametrization for the line segment with endpoints (-4,5) and (-9,-10) is given by x = -4 - 5t and y = 5 - 15t, where 0 ≤ t ≤ 1.
Learn more about parametrization here
https://brainly.com/question/31461459
#SPJ11
3. PLZZZZ HELP MEEE!.!.!
Answer:
60in²
Step-by-step explanation:
Since lateral surface area means all the shapes except the base, we will ignore the square in the middle.
A=1/2(b*h)
A=1/2(10*3)
A=15in²
Now we will multiply the area by 4 or the number of other shapes besides the base.
60in²