given g (x) = -x -2, find g (-5)
Answer:
g(-5)=3
Step-by-step explanation:
g(-5)=-(-5)-2=5-2=3
Substitute x with -5.
g(-5) = -(-5) - 2
g(-5) = 5 - 2
g(-5) = 3
Best of Luck!
The volume of the barge is 67,200 and us a rectangular prism
Due to the fact that there has to be some percentage of the barge above the water, they can only be loaded 3/4 of their depth. What volume of cargo can the barge actually carry?
Now i spent 40 points I forgot to include the volume of the barge.
Answer:
this one is hard ill consult my agent
Step-by-step explanation:
i like revenge
evaluate the diagram below, and find the measures of the missing angles
Answer:
A=100
B= 80
C=80
D=100
E=80
F=80
G=100
Step-by-step explanation:
Find the sum for each geometric sequence. 2 4 8 16 32
The sum for each geometric sequence is 62.
Given:
Geometric sequence,
2 4 8 16 32
Number of terms n = 5
First term a = 2
common ratio r = 4/2
= 2
Sum \(S_5 = a(r^n-1)/r-1\)
= 2(2^5 - 1)/2-1
= 2(32 - 1)/1
= 2(31)/1
= 2*31
= 62
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Which equation is the result of solving y-p=m(x-q) for x ?
Answer:
x=\(\frac{y}{m} -\frac{p}{m} +q\)
Step-by-step explanation:
SORRY TO BOTHER BUT I NEED HELP I DID IT AND I GOT IT RIGHT BUT I GOT 2 wrong and I had a 2 chance and I had to do them all over again Pls help
Answer:
C
Step-by-step explanation:
Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.
We must determine the y-intercept, b using the slope and point provided.
\(-5 = -3(2) + b\\\\-5 = -6 + b\\\\1 = b\)
Now that we know the y-intercept, b, we can create the equation of this line: y = -3x + 1.
The dinner bill for the Rao family was $58. Mr. Rao left a tip of 15% of the bill. What was the total cost of the family’s dinner?
Answer: $66.7
Step-by-step explanation:
$58 spent on dinner
Gives 15% of the bill as tip
15% of 58 = 8.7
$58 + $8.7 = $66.7
Express 2.616161...... in the form p/q where p and q are integers and q≠0
The repeating decimal 2.616161... can be expressed as a fraction p/q where p and q are integers and q≠0.
To convert this repeating decimal to a fraction, we can use the following method:
Let x = 2.616161...
Then, 100x = 261.6161...
Subtracting the two equations, we get:
99x = 259
x = 259/99
Therefore, 2.616161... can be expressed as the fraction 259/99.
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A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?
Answer: y = 5x + 26
Step-by-step explanation:
To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.
We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Substituting the values, we get:
y - 1 = 5(x - (-5))
Simplifying further:
y - 1 = 5(x + 5)
Expanding the brackets:
y - 1 = 5x + 25
Rearranging the equation to the slope-intercept form (y = mx + b):
y = 5x + 26
Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.
Help please! Thanks!!!
To get this answer, we'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(35) = b/c
cos(35) = b/280
280*cos(35) = b
b = 280*cos(35)
b = 229.362572400918
b = 229
When you use your calculator, make sure it's in degree mode.
A cell phone company tests 95 cell phones and finds that 7 of them have defects. Out of 760 cell phones, how many would you expect to have defects?
You can predict that
of the cell phones will have defects.
Answer: 60
Step-by-step explanation:
From the question, a cell phone company tests 95 cell phones and finds that 7 of them have defects. This. means that 7/95 are defective.
If 760 cell phones are tested, the number that will be expected to have defects will be:
= 7/95 × 760
= 59.99
= 60 Approximately
Answer:
56 C:
Step-by-step explanation:
Just divide 95 by 7 yes you heard me right then multip,y by 760 you can use calculator to get 56
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?
To see the graph, the inequality pairs with y≤ −2x−1 to complete the system of linear inequalities is y > -2x + 2.
Given,
In the question:
The inequality is given as:
y ≤ −2x−1
Now, According to the question:
The upper part of the graph must be an inequality that doesn't include the actual boundary line because such is represented with a dotted line instead of a solid one (so the equal sign must NOT be in the inequality).
The boundary line for the upper section has also the same slope as the one given (-2), and we also see that it goes through the value 2 on the y-axis, so such line in slope y-intercept form must be: y = -2x + 2
Since we need to include the (x, y) values on the plane that are "larger than" (y-value above) the boundary line we found, we need to select the "greater than" symbol for the inequality and :
y > -2x + 2.
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a high school graduating class is made up of 410 students. there are 66 more girls than boys. how many boys are in the class?
Total number of boys in class are 172
A linear equation is an algebraic equation of the form y=mx+b involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
We have total number of students in class = 410
We assume that the number of boys in class = X
Number of girls in class is 66 more then boys we assume total number of girls = X+66
If we add number of girls and boys then we found total strength of classX+X+66=4102X+66=4102x=344X=172
Number of boys = 172
Number of girls =238
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let g be the group of upper triangular real matrices. for each of the following subsets, determine whether or not s is a subgroup, and whether or not s is a normal subgroup. if s is a normal subgroup, identify the quotient group g/s
We need specific subsets (denoted by "s") within the group of upper triangular real matrices (denoted by "g") to determine whether they are subgroups and normal subgroups. Additionally, if a subset is a normal subgroup, we can identify the quotient group (denoted by "g/s").
To determine if a subset "s" is a subgroup, it must satisfy two conditions: closure under matrix multiplication and inverse existence. If all matrices in "s" multiplied together yield another matrix in "s," and if the inverse of each matrix in "s" is also in "s," then "s" is a subgroup of "g."
On the other hand, to determine if a subgroup "s" is a normal subgroup, we need to check if it is invariant under conjugation. That is, for any matrix "h" in "g" and any matrix "s" in "s," the conjugate of "s" by "h" (i.e., \(hsh^(-1))\)is also in "s." If this condition holds, "s" is a normal subgroup.
If "s" is indeed a normal subgroup, the quotient group "g/s" is formed by taking the left cosets of "s" in "g." Each coset represents a distinct equivalence class of matrices in "g" that differ by an element of "s." The quotient group "g/s" can be used to study the structure and properties of the group "g" after factoring out the normal subgroup "s."
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Pls help Ive been here since nine this morning...
f(x)=4.5x^2-3x+2
fine the horizontal tangent line
Answer:
x = 13
Step-by-step explanation:
Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.
Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.
f ′ (x) = d (4.5 x 2 − 3 x + 2)
______
d x
Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3
To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}
Therefore, the tangent line to f(x) is horizontal at the point x = 13
Hope this helps, have a nice day/night! :D
Give your answer accurate to 3 decimal places.
A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point that is 1 ft above water
level. The rope goes from the bow of the boat to a pulley located at the edge of the dock 7 ft above water level. If he pulls
in the rope at a rate of 2 ft/sec, how fast (in feet per second) is the boat approaching the dock when the point of
attachment is 14 ft from the dock?
Answer:
Therefore, The Boat is Approaching the Dock at a Rate of 2ft/sec When the point of attachment is: 14ft from the dock.
Step-by-step explanation:Make a plan:
Let X be the Distance between the Boat and the Dock
Y be the Length of the Rope
We will use the Pythagorean Theorem to relate X and Y
Then Differentiate with respect to Time to find the Rate at which the Boat is Approaching the Dock.
Solve Problem:1 - Write the Pythagorean Theorem equation:
X^2 + 1^2 = Y^2
2 - Differentiate Both Sides with respect to Time (t):
2x dx/dt = 2y dy/dt
3 - Given dy/dt = -2ft/sec, and y = 14ft
Solve for, dx/dt, When X = 14ft
2(14)dx/dt = 2(14)( -2 )
4 - Solve For:
dx/dt
dx/dt = -2ft/sec
Draw the conclusion:
Therefore, The Boat is Approaching the Dock at a Rate of 2ft/sec When the point of attachment is: 14ft from the dock.
I hope this helps you!
simply the expression.
(9.55 x 10^-3) + (1.02 x 10^-4)
Answer:
0.009652 or 9.652×\(10^{-3}\)
Step-by-step explanation:
simplify (2/9 × 45/15) - 7/24
I hope this helps! have an amazing day!
Answer:
3/8
Step-by-step explanation:
(2/9 x 45/15) - 7/24
45/15 = 3
(2/9 x 3) - 7/24
2/9 x 3 = 6/9 = 2/3
2/3 - 7/24
2/3 = 16/24
16/24 - 7/24 = 9/24
9/24 = 3/8
Analyze the effects of effective communication.
Answer:
Developing and improving communication skills will help ensure that messages are sent and received properly. Analyze the effects of effective communication. Effective communication involves the sender having the desired effect on the receiver of the message.
Step-by-step explanation:
I just did it and got it it right
Hope this helps!
God Bless You! <3
y=-2
4x-3y=18
explanation needed
Answer:-2
Step-by-step explanation: Substitute the given y-value into 4x−3y=18 and solve for x
What is bigger 1.97x 1.97 × 0.11 inches or 1.89 x 5.42 x 5.2 inches
Answer:
1.89 x 5.42 x 5.2 inches
Step-by-step explanation:
Use your calculator or multiply it yourself, times all of them together.
Plz Help Me
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza
24% of the students like hamburgers
58% of the students like chicken
8% of the students like all three
12% of the students like pizza and hamburgers
22% of the students like pizza and chicken
8% of the students like only hamburgers
What percent of the students did not like pizza, hamburgers or chicken?
Answer:
0%
Step-by-step explanation:
They all liked one type of food.
The percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza24% of the students like hamburgers58% of the students like chicken8% of the students like all three12% of the students like pizza and hamburgers22% of the students like pizza and chickenonly 8% of the students like hamburgersThe vann diagram which represent this result is attached below. 8% of the students like all three, so 4% like chicken and hamburger and 4% pizza and hamburger.
14% of the students like pizza and chicken. Thus, the percent of the students did not like pizza, hamburgers or chicken is,
\(100-(32+14+8+4+4+8+8)=22\%\)
Thus, the percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
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you are interested in the number of english-speaking people on the planet who want to play a new kind of online video game. you asked 300 college students if they were interested in playing video games, 100 said yes, and of them 20 preferred your game to an existing game that is widely used. how many people were in the sample? select one: a. the number of english-speaking people on the planet who want to play a new kind of online video game. b. 300 c. 200 d. 100 e. 20
b. Total Sample = 300 college students
The question is asking how many people were in the sample of 300 college students that were asked if they were interested in playing video games. The answer is option B: 300.
To answer this question, we must first understand the context of the question. It is asking about the number of English-speaking people on the planet who want to play a new kind of online video game. To answer this, 300 college students were asked if they were interested in playing video games. Of those 300 students, 100 said yes, and 20 of those students preferred this new game to an existing game that is widely used. Therefore, the sample size was 300.
The sample size is 300 college students. From the 300 college students, 100 said yes to playing video games. Of these 100, 20 preferred the new game to an existing game. Therefore, the sample size is 300 college students.
Total Sample = 300
No. of Yes = 100
No. of Prefers new game = 20
So, Total Sample = 300 college students
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A classroom will be assembled so that the desks fit within an area that is 8 m by 12 m. The desks will be surrounded by a border that will be the same width on all sides of the rectangular room, to
allow for walking space. The area of the border will equal 20% of the area of the space that the desks
occupy. What is the width of the border, to the nearest hundredth of a meter?
Answer:
0.46 m
Step-by-step explanation:
area of desks: 8 m by 12 m = 8 m * 12 m = 96 m^2
20% of this area is 20% * 96 m^2 = 19.2 m^2
The area of the border is 19.2 m^2.
Let the path around the desks have width x.
The area of desks plus path is a rectangle 2x + 8 by 2x + 12.
area of desks plus path = (2x + 8)(2x + 12)
= 4x^2 + 24x + 16x + 96 = 4x^2 + 40x + 96
The area of the border is the area of the rectangle that includes the border minus the rectangle that has just the desks.
area of border = (4x^2 + 40x + 96) - (96) =
= 4x^2 + 40x
Above, we have the area of border = 19.2, so we get this equation:
4x^2 + 40x = 19.2
4x^2 + 40x - 19.2 = 0
x^2 + 10x - 4.8 = 0
We now use the quadratic formula to solve the equation for x.
\( x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)
\( x = \dfrac{-10 \pm \sqrt{10^2 - 4(1)(-4.8)}{2(1)} \)
\( x = \dfrac{-10 \pm \sqrt{100 + 19.2 )}{2} \)
\( x = \dfrac{-10 \pm \sqrt{119.2 )}{2} \)
\( x = 0.46 \) or \( x = -10.46 \)
We discard the negative solution.
Answer: the border is 0.46 m wide.
Find the value of x in the diagram.
Pls help
Answer:
72
Step-by-step explanation:
Answer:
72 degrees
Step-by-step explanation:
x = 360 - (108 + 121 + 59)
x = 360 - (108 + 180)
x = 360 - 288
x = 72 degrees
Hope that helps!
The total amount of money in circulation for the years 1990−2012 can be cosely approximated by M(t)=0.05025t ^3 −1.127t ^2
+37.69t+247.1, where t represents the number of years since 1990 and M(t) is in billions of dollars. Find the derivative of M(t) and use it to find the rate of change of money in circulation in the following years: a. 1992 b. 1995 c. 2001 d. 2003 e. What do your answers in parts a-d tell you about the amount of money in circulation in those years? a. The rate of change of money in circulation in 1992 was $ billion per year. (Round to two decimal places as needed.)
a. For 1992 = 33.785 billion dollars per year
b. For 1995: 30.18875 billion dollars per year
c. For 2001: 31.08775 billion dollars per year
d. For 2003:33.84675 billion dollars per year
The answers in parts a-d represent the rate of change of money in circulation in the corresponding years.To find the derivative of the function M(t) = 0.05025t³ - 1.127t² + 37.69t + 247.1, differentiate each term with respect to t.
M'(t) = d/dt (0.05025t³ - 1.127t² + 37.69t + 247.1)
Differentiating each term:
M'(t) = 3 x 0.05025t² - 2 x 1.127t + 37.69
M'(t) = 0.15075t² - 2.254t + 37.69
Now, the rate of change of money in circulation in the given years.
a. For 1992 (t = 1992 - 1990 = 2):
M'(2) = 0.15075(2)² - 2.254(2) + 37.69
M'(2) = 0.15075(4) - 2.254(2) + 37.69
M'(2) = 0.603 - 4.508 + 37.69
M'(2) = 33.785 billion dollars per year
b. For 1995 (t = 1995 - 1990 = 5):
M'(5) = 0.15075(5)² - 2.254(5) + 37.69
M'(5) = 0.15075(25) - 2.254(5) + 37.69
M'(5) = 3.76875 - 11.27 + 37.69
M'(5) = 30.18875 billion dollars per year
c. For 2001 (t = 2001 - 1990 = 11):
M'(11) = 0.15075(11)² - 2.254(11) + 37.69
M'(11) = 0.15075(121) - 2.254(11) + 37.69
M'(11) = 18.19175 - 24.794 + 37.69
M'(11) = 31.08775 billion dollars per year
d. For 2003 (t = 2003 - 1990 = 13):
M'(13) = 0.15075(13)² - 2.254(13) + 37.69
M'(13) = 0.15075(169) - 2.254(13) + 37.69
M'(13) = 25.45875 - 29.302 + 37.69
M'(13) = 33.84675 billion dollars per year
e. The answers in parts a-d represent the rate of change of money in circulation in the corresponding years. Positive values indicate an increasing rate, while negative values indicate a decreasing rate.
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The related function is decreasing when x<0 and the zeros are -2 and 2
Answer:
Step-by-step explanation:
If the related function is decreasing when x < 0, it means that as x decreases (moves to the left on the x-axis), the corresponding y-values of the function decrease as well. In other words, the function is getting smaller as x becomes more negative.
Given that the zeros of the function are -2 and 2, it means that when x = -2 or x = 2, the function evaluates to zero. This means that the graph of the function intersects the x-axis at x = -2 and x = 2.
Based on this information, we can conclude that the related function starts from positive values, decreases as x moves to the left (x < 0), and intersects the x-axis at x = -2 and x = 2.
A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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Find the measure of 3
Answer:
no entiendo el inglés no puedo ayudarte
Answer:
63
Step-by-step explanation:
triangles will always add up to 180
therefore 92+25 = 117
then subtract 117 from 180 (180-117)
and you get 63