The limit of the function f(x) as x approaches -2 is 7.
To find the limit as x approaches -2 for the function f(x) = 2x + 11, we substitute -2 into the function and simplify:
lim (2x + 11) as x approaches -2
= 2(-2) + 11
= -4 + 11
= 7
So, the limit of the function f(x) as x approaches -2 is 7.
To simplify this answer further, we can write it as:
\(\lim_{x \to\ -2} \ (2x + 11) = 7\)
Therefore, the limit of the function f(x) as x approaches -2 is 7. This means that as x gets closer and closer to -2, the value of the function f(x) approaches 7.
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find the joint distribution of the two random variables x and y. Find the maximum likelihood estimators of
To find the joint distribution of two random variables x and y, we need more information such as the type of distribution or the relationship between x and y.
Similarly, to find the maximum likelihood estimators of x and y, we need to know the specific probability distribution or model. The method for finding the maximum likelihood estimators varies depending on the distribution or model.
Please provide more details about the distribution or model you are referring to, so that I can assist you further with finding the joint distribution and maximum likelihood estimators.
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HELP I WAS SUPPOSED TO DO THIS OVER THANKSGIVING BREAK
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they are applied to formulate and solve complex mathematical problems in engineering and the physical and social sciences
The given statement, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences" is true. Computer-based computational approaches are used to solve mathematical models that represent physical processes quantitatively.
Computational methods may be used to forecast how complex systems will behave under various situations, which is frequently the case when straightforward analytical answers are not accessible.
Its goal is to analyze the behavior of complicated systems using computer simulations. In the 1960s, computational approaches first appeared in engineering. Since that time, structural engineers have led the way in developing technical fixes for issues with engineering analysis and design. The development of computational techniques has been driven by the emergence of electronic computers and the enormous rise in processing capacity. A wide range of engineering specialties have been significantly impacted by the quick advancements in computer technology.
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The complete question is, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences. True or False"
mathematics is applied in engineering and the physical and social sciences to solve complex problems, design structures, analyze data, make predictions, and study patterns and relationships.
mathematics is applied extensively in engineering and the physical and social sciences to solve complex problems and make accurate predictions. In engineering, mathematics is used to model and analyze systems, design structures, and solve optimization problems. For example, civil engineers use mathematical principles to calculate the strength and stability of bridges and buildings, while electrical engineers use mathematical equations to design circuits and analyze electrical systems.
In the physical sciences, mathematics is used to describe and explain natural phenomena. Physicists use mathematical models and equations to understand the behavior of particles, the motion of objects, and the interactions of forces. Mathematics provides a precise language to represent and analyze physical phenomena, allowing scientists to make predictions and test hypotheses.
In the social sciences, mathematics is used to analyze data, make predictions, and study patterns and relationships. Economists use mathematical models to analyze economic trends, forecast future outcomes, and understand the impact of various factors on the economy. Mathematicians and statisticians develop statistical methods to analyze social data and study patterns in areas such as population growth, social networks, and voting behavior.
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A student completed the problem below. Explain in your own words how to verify
if the answer is correct. *
2x^2 – 5x - 3 = (2x + 1)(x - 3)
10pts FOR WHEVER ANWSERS ASAP PLZ!!
Answer:
B.
Step-by-step explanation:
Both sides of equation are the same, making the amount of solutions infinite.
PLEASE HELP, ITS TIMED :D >>>>
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Hopefully this helps you :)
I took the test
An automobile uses 17 gal of fuel to go 590 mi. how many gallons are required to travel 840 mi? (round your answer to one decimal place.)
Answer:
the car would use 49 gallons because you get a decimal of 49.49 so you would put got decimal to the nearest 1's place and that would be 49
line b passes through points (-20, 4) and (-21, 96). line c is parallel to line b. what is the slope of line c?
The slope of the line c is - 92.
The points via which the line b passes are:
(-20, 4) and (-21, 96).
The slope of the line is given by:
m = (y₂ - y₁) / (x₂ - x₁)
Slope of the line b passing through these points are:
m = (96 - 4) / (- 21 + 20)
m = (92) / (-1)
m = - 92
Since, line b is parallel to line c,
Slope of line b = slope of line c
So, the slope of line c is also:
m' = - 92
Therefore, we get that, the slope of the line c is - 92.
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Shania wanted her friend Radhika’s mobile number. But Radhika played a trick. She gave her a 10-digit mobile number she uses in India as 9 x y z p 7 q 1r 3 and told her to decode it with the help of following equations. Help her by solving equations. (Show your work)
(a) 2x-5 = 7
(b) 2(p + 1) = p + 4
(c) 5(y + 1) = 25
(d) 5(q –1) + 3q = 10 + 1
(e) 3−12+4= 1
(f) +14−8= 1
Given Mobile Number: 9 x y z p 7 q 1r 3
This question involves basic arithmetic signs and simplifying of bracket terms.
Mobile number is; 9 6 4 1 2 7 8 1 2 3
a) 2x - 5 = 7
Add 5 to both sides to get;
2x = 12
x = 12/2
x = 6
b) 2(p + 1) = p + 4
Expanding the bracket gives;
2p + 2 = p + 4
Rearranging gives;
2p - p = 4 - 2
p = 2
c) 5(y + 1) = 25
Expanding the bracket gives;
5y + 5 = 25
5y = 25 - 5
5y = 20
y = 20/5
y = 4
d) 5(q –1) + 3q = 10 + 1
Expanding the bracket gives;
5q - 5 + 3q = 11
2q - 5 = 11
add 5 to both sides to get;
2q = 16
q = 16/2
q = 8
Question E and F are not clear but as it is r and z that are yet to be gotten, i have gotten the right equations from the brainly link at the end of this page.
e) 8z - 8 = 6z + 8
Rearranging, we have;
8z - 6z = 8 - 6
2z = 2
z = 2/2
z = 1
f) 3(r+10) + 200 = 236
Expanding the bracket and rearranging, we have;
3r + 30 = 236 - 200
3r = 236 - 200 - 30
3r = 6
r = 6/3
r = 2
So we now have;
x = 6; y = 4; z = 1; p = 2; q = 8; r = 2
Mobile number is; 9 6 4 1 2 7 8 1 2 3
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help me!! click on me for the picture.
Answer:
I'm confused can you give me the explanation and the answer choices please!!!!!!
Step-by-step explanation:
find
the
size of unknown angle
Answer:
To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
jamal measured the height of a flower growing in his garden at the beginning of the month the flowerwas 3 1/4 inches tall the flower grew h inches during the month at the end of the month it 4 1/8 inches tall what equation models this situation
The equation that models the situation is 33 / 4 = h + 13 / 4.
How to find the equation that models a situation?Jamal measured the height of a flower growing in his garden at the beginning of the month. The flower was 3 1 / 4 inches tall . The flower grew h inches during the month.
At the end of the month it was 4 1 / 8 inches tall.
Hence, the equation to model the situation can be represented as follows:
Let's convert the mixed fractions to improper fractions.
3 1 / 4 inches = 13 / 4 inches
4 1 / 8 inches = 33 / 4 inches
Hence, the equation is as follows:
33 / 4 = h + 13 / 4
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write 34,000 , 43,000,000 , 0.0000087 , 91,000,000 , 16.6 x 10^3 , and 0.00372 x 10^-3 in scientific notation
To write a number in scientific notation you must know:
1. A number in scientific notation is written as the product of a number (integer or decimal) and a power of 10
2. A number can be converted to scientific notation by increasing the power of 10 by one for each place the decimal point is shifted to the left.
Then so:
\(34000=3,4x10^3\)\(43000000=4.3x10^7\)\(0.0000087=8.7x10^{-6}\)\(91000000=9.1x10^7\)\(16.6x10^3=1.66x10^4\)\(0.00372x10^{-3}=3.72x10^{-6}\)I need to know what the answer is :)
2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?
Answer:
133 girls
Step-by-step explanation:
Total members = x
Number of boys = \(\frac{2}{9}x\)
Number of girls = \(\frac{2}{9}x +95\)
Number of boys + Number of girls = total members
\(\frac{2}{9}x+\frac{2}{9}x+95=x\\\\\frac{2}{9}x+\frac{2}{9}x=x -95\\\\\frac{2}{9}x+\frac{2}{9}x-x=-95\\\\\frac{4}{9}x-x = -95\\\\\frac{4}{9}x-\frac{9}{9}x = -95\\\\\frac{-5}{9}x=-95\\\\x = -95*\frac{9}{-5}\\\\x=19*9\)
x = 171
Number of boys = \(\frac{2}{9}*171\) = 2 * 19 = 38
Number of girls = 38 + 95 = 133
1/4 > 1. Order the following rational numbers from greatest to least: 25% - 0.17 3 5 1.2 - 12 First convert these numbers to decimal form. Show your work below. You can write on the screen! Next, grab the numbers in the list and place them in order from GREATEST to LEAST!
Answer:
1.2, 3/5, 25%, 0.17, -12
Step-by-step explanation:
In order to put these from greatest to least, you must put these in like terms.
Since there are more decimals that other terms, we're going to convert them all to decimals.
25%= 0.25
0.17= 0.17
3/5= 0.60
1.2= 1.20
-12= -12.00
Now that we see which numbers are greater, we convert them back to their original terms and place them in order from greatest to least.
1.2, 3/5, 25%, 0.17, -12
31. What is the measure of
a. 30 degrees
b. 45 degrees
c. 60 degrees
d. 90 degrees
option (a) 30 degrees
Step-by-step explanation:
Sum of all the angles in a triangle equals to 180°
So, 30° is answer
simplify the following equation 32m : 2km
Step-by-step explanation:
the answer is in the image above
A recipe uses 5 cups of flour for every 2 cups of sugar.
a. How much sugar is used for 1 cup of flour?
b. How much flour is used for 1 cup of sugar?
c. How much flour is used with 7 cups of sugar?
d. How much sugar is used with 6 cups of flour?
Answer:
a)2/5 cups of sugar
b)2.5 cups of flour
c)17.5 cups of flour
d)2and2/5 or 12/5 cups of sugar
Step-by-step explanation:
help please I need help
Answer:
a is 16 yards hope this helps
Step-by-step explanation:
In the weighted voting situation [21: 23, 14, 4] , how many are there in total ?
There are 41 votes in total in the weighted voting system
What is weighted voting ?
Generally, a weighted vote occurs in policy or law making bodies where representatives have varying voting powers (weighted vote) according to how many principals or citizens they represent, or by the number of principals they represent.
The weighted voting situation is given as
[21: 23, 14, 4]
A weighted voting situation is represented as
[q: w1, w2......, wn]
Where q represents the quota and the w1 to wn are the votes
The total number of votes is calculated as
Total = w1 + w1 + .... + wn
So, we have
Total = 23 + 14 + 4
Evaluate the sum
Total = 41
Hence, there are 41 votes in total in the system
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1. four buses carrying 100 students from the same school arrive at a football stadium. the busses carry, respectively, 10, 20, 30, and 40 students. one of the 100 students is randomly selected and let x denote the number of students on the bus carrying the randomly selected student. let y denote the number of students when one of the 4 buses is randomly selected. (a) explain (without any computation) which of e[x] or e[y ] you think is larger? why?
Answer:
2 bus
Step-by-step explanation:
The expected value of y is larger than the expected value of x. This is because y takes into account the number of students on all 4 buses, while x only takes into account the students on the bus with the randomly selected student.
The expected value of a random variable represents the average value of that variable over multiple trials. In this case, x is a random variable representing the number of students on the bus carrying the randomly selected student, and y is a random variable representing the number of students on the randomly selected bus.
The expected value of x can be calculated as follows:
E[x] = (10/100)×10 + (20/100)×20 + (30/100)×30 + (40/100)×40
= 16 + 12 + 9 + 16
= 53/4
= 13.25
This means that, on average, the bus carrying the randomly selected student would have 13.25 students.
The expected value of y can be calculated as follows:
E[y] = (1/4)×10 + (1/4)×20 + (1/4)×30 + (1/4)×40
= 25
This means that, on average, the randomly selected bus would have 25 students.
As expected, the expected value of y is larger than the expected value of x. This is because y takes into account the number of students on all 4 buses, while x only takes into account the students on the bus with the randomly selected student. Since the number of students on the other 3 buses can vary widely, y has a higher expected value than x.
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Helen and Stephen both simplify the exponential expression 4 ln21 3 e −
Stephen makes the mistake in the expression as he uses the 4 in the root and the 3 in the power and the expression actually is: ∛(16)/e
How to illustrate the information?We start with the expression:
exp( (4/3)*ln(2) - 1)
Here we can use that:
exp(ln(x)) = x.
and e^(a + b) = e^a*e^b.
the first step here is:
e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)
So the first step of Stephen is correct, but the first step of Helen is not, you can not simplify the expression in that way.
now, we have that:
a*ln(x) = ln(x^a)
then we can write:
(4/3)*ln(2) = ln(2^(4/3))
and e^(ln(2^(4/3)) = 2^(4/3)
then we have:
e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e
now we can write this as:
∛(2^4)/e
Here is where Stephen makes the mistake, he uses the 4 in the root and the 3 in the power.
The expression actually is: ∛(16)/e
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function in c that takes three decimal numbers as inputs and finds the sum of those inputs and returns the sum
The function that takes three decimal numbers as inputs and finds the sum of those inputs and returns the sum has been given below
What is programming?
Program is the set of instructions given to the computer so that the computer can execute those instructions. The act of writing program is called programming.
The program has been shown below
#include<stdio.h>
using namespace std;
int main()
{
double n1, n2, n3;
double s;
printf("Enter first numbers");
scanf(%lf, &n1);
printf("Enter second numbers");
scanf(%lf, &n2);
printf("Enter third numbers");
scanf(%lf, &n3);
s = n1 + n2 + n3;
printf("Sum = %f", s);
return 0;
}
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The next model of a sports car will cost 14.9% less than the current model. The current model costs $55,000. How much will the price decrease in dollars? What
will be the price of the next model?
Decrease in price
Price of net model:
_______________________________
Decrease In Price: = 14.9% × $55,000 ÷ 100= $8,195Price Of Next Model: = $55,000 - $8,195= $46,805_______________________________
Water along the Mississippi River is rising at a rate of 38.2 cm/hr. The top of a dock in the river currently sits only 0.8 meters above the water. HOW LONG will it take the water to reach the top of the dock (100cm=1m) Express your final answer as a number, rounded to the nearest tenth (one decimal point) with units expressed in hr - no spaces EXAMPLE: 5.8hr HINT: YOU ARE LOOKING FOR A TIME. USE YOUR RATE TRIANGLE TO FIND THE FORMULA FOR TIME. IT ALSO MIGHT HELP FOR YOU TO DRAW THE SCENARIO OUT. The changing height of the river is your distance variable!
Answer:
2.1 hr
Step-by-step explanation:
[0.8 m × (100 cm)/(1 m)]/(38.2 cm/hr) = 2.1 hr
find the jacobian. ∂(x,y,z)∂(s,t,u) , where x=−(s 4t 5u),y=2s 3t 2u,z=t−3s u
The Jacobian matrix represents the partial derivatives of one set of variables with respect to another set of variables. In this case, we need to find the Jacobian matrix for the transformation from (x, y, z) to (s, t, u) using the given equations:
The jacobian matrix J is given by:
J = ∂(x, y, z) / ∂(s, t, u)
To find the elements of the Jacobian matrix, we calculate the partial derivatives of each component of (x, y, z) with respect to (s, t, u).
∂x/∂s = -\(4s^3tu\)
∂x/∂t = -\(5s^4u\)
∂x/∂u = -\(s^4t\)
∂y/∂s = \(6s^2tu\)
∂y/∂t =\(4st^2u\)
∂y/∂u = 2stu
∂z/∂s = -3u
∂z/∂t = 1
∂z/∂u = -3s
Therefore, the Jacobian matrix J is:
J = \([-4s^3tu, -5s^4u, -s^4t]\)
\([6s^2tu, 4st^2u, 2stu]\)
[-3u, 1, -3s]
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I need help pls, what’s the answer?
Answer:
x₂ = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to \(\frac{5}{6}\)
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)
m = \(\frac{-1-9}{x_{2}-9 }\) , that is
\(\frac{-10}{x_{2}-9 }\) = \(\frac{5}{6}\) ( cross- multiply )
5(x₂ - 9) = - 60 ( divide both sides by 5 )
x₂ - 9 = - 12 ( add 9 to both sides )
x₂ = - 3
If Susie takes a test with 50
questions and gets of them
5
correct, how many questions did
she miss?
When $720 is divided in the ratio 3:5, the larger share is
Answer:
The larger share is $450.
Step-by-step explanation:
\(\frac{3}{5} =\frac{3x}{5x} \\\\3x-the smaller share\\5x-the larger share\\3x+5x=8x\\8x-money to split\\8x=720 /:8\\x=90\\5x=5*90=450\)