From the given fraction , the additive inverse of \(\frac{3}{4} is -\frac{3}{4}\)
Given :
Additive inverse of 3/4
For any number , additive inverse of 'a' is -a
Additive inverse of a number is a number that is added with original number to get 0
For example , the additive inverse of 5 is -5 because 5+(-5) =0
To get additive inverse we multiply the given number by -1
So the additive inverse of \(\frac{3}{4} is -\frac{3}{4}\)
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Need help with this geometry assignment due soon smart people and mark Brainly
Answer:
1. a + b + c = 180
2. b + d = 180
3. d = a + c
Step-by-step explanation:
1. a + b + c = 180:
Angles in a triangle add up to 180
2. b + d = 180:
Angles in a straight line equal 180 because they are supplementary angles
3. d = a + c:
ΔACD is an exterior angle, and ΔACB is interior adjacent, hence ∠a and ∠c add up to ∠d
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
1) a+b+c=180 because if you take two right angle triangles and put them together you'll make a rectangle and thats 360, so half of the 360 is 180 which equals the two right triangles.
2) b and d are supplementary angles so if you add b and d they should equal 180, which is the measure of a straight line.
3) if you add c+a it should always equal d.
The dimensions of a rectangle can be given by x + 4 and x - 3. If the area of the rectangle is 30 meters. Find it's dimensions.
Answer:
6 x 5
Step-by-step explanation:
Start by setting (x+4)(x-3) = 30
x^2 - 3x + 4x - 12 = 30
x^2 + x - 42 = 0
(x-6)(x+7) = 0
Solution for x is [6]
length x width = 30
6 x (width) = 30
6 x (5) = 30
{6,5}
Step-by-step explanation:
Dimension of rectangle is x+4 and x-3
let's , suppose x+4 is lenght and x-3 is breadth
perimeter of rectangle = L×B
∵ L×B = (x+4)×(x-3) = 30
=>x²-3x + 4x -12 = 30
=>x²+x = 30+12
=>x²+x -42 =0
=>x²+x - 42 = 0
=>x²+7x-6x -42 = 0
=>x(x+7)-6(x+7)
=>(x+7)(x-6 )
x= -7 or 6neglect negative term ( -7)
so,length x+4 = 6+4 = 10
breadth ,x-3 = 6-3 = 3
dimension of the rectangle is 10, 3
marking as brainliest + 80 pts <3 do it all please and if you have any questions you can ask here or add my dxisxcord, insxtax or snxapcxhxat so i can send the image up close if you can't see, js ask for it :P
Answer: BRAINLIEST?
PART 1
In january she recives the discount but not in Febuary
25*12= 300 For Jan
59.99*10= 599.90 For Feb
Total: 899.90 dollars
PART 2
x stands for amount of months
59.99x=359.94
Divide both sides by 59.99
x= 6
Step-by-step explanation:
Answer:
hi i know she alreaady andwerd but hi
Step-by-step explanation:
using the formula d= rt, rearrange it to highlight time , t.
Step-by-step explanation:
t=d/r
......................
I NEED HELP PLEASEEE!!
Somebody please answers these!!!!
Answer: 1: B
Step-by-step explanation:
FIRST ANSWER GETS CROWNED BRAINLIEST!!!!!
A phone company has two long distance plans. Plan A charges a flat monthly fee of $13 and $0.37 per minute of long distance calls Plan B charges a flat monthly fee of $28 and $0.15 per minute of long distance calls. After how much time on long distance calls to the nearest minute, would the cost of plan A be equal to the cost of plan B?
Answer:
68.18minStep-by-step explanation:
let the cost of plan A be Y1
and the cost of plan B be Y2
let the number of minutes for both plans be x
let us model the cost of plan A
Y1= 13+0.37x-------1
let us model the cost of plan B
Y2= 28+0.15x------2
when Y1=Y2, we can now solve for x which is in minutes
13+0.37x=28+0.15x
collect like terms
13-28=0.15x-0.37x
-15=-0.22x
divide both sides by -0.22
x=-15/-0.22
x=68.18min
The coordinates of the endpoints of MP are M(-3,-2) and P(-2,3). which measurement is closest to the length of MP in units
A 7.1 units
B 5 units
C 4.5 units
D 10 units
Answer: The answer is, A 7.1 units
Step-by-step explanation:
Insurers use a process of selecting and classifying insurance applicants to prevent individuals who have a higher-than-average probability of loss from obtaining insurance at average rates. This process is called
Answer:
This process is called
Producing. underwriting.
Step-by-step explanation:
The attendance at a school play is 1,000 people. Write the number in exponent form and word form
Answer:
1000 = \(10^3\)
1000 = one thousand
======================================
Explanation:
The exponent form involves 10 as the base. The exponent 3 means we will have 3 zeros to get to 1000
Another way you can see it is to think of it as \(1.0 \times 10^3\), then we move the decimal point 3 spots to the right to go from 1.0 to 1000.0 or 1000
Because multiplying by 1 doesn't change the number, we could say \(1.0 \times 10^3 = 1 \times 10^3 = 10^3\), all lead to the same outcome.
evaluate sum in closed form
f(x) = sin x + 1/3 sin 2x + 1/5 sin 3x + ....
The sum of given series is infinity ∑(n = 1) sin(nx)/(2n - 1).
What is sum of series?
A series' sum is the sum of the words or list of numbers that make up the series. If a series has a sum, it will be one integer (or fraction), such as 0, 1/2, or 99.
As given series is,
f(x) = sinx + sin(2x)/3 + sin(3x)/5+.....
The series function is trigonometric function such as sinx, sin(2x), sin(3x).
The nth term of series is sin(nx).
The coefficient of series is 1, 1/3, 1/5.
The coefficient of nth terms is 1/(2n - 1).
Sum of series is,
= infinity ∑(n = 1) sin(nx)/(2n - 1).
Hence, the sum of given series is infinity ∑(n = 1) sin(nx)/(2n - 1).
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find the number by determining part and whole.a) 2/9 of a number is 8b) 3/11 of a number is 12
Explanation
Step 1
let x represents the number so
a) 2/9 of a number is 8
\(\begin{gathered} \frac{2}{9}x=8 \\ \text{then, to isolate x multiply both sides by }\frac{9}{2} \\ \frac{2}{9}x\cdot\frac{9}{2}=8\cdot\frac{9}{2} \\ \frac{18}{18}x=\frac{72}{2} \\ x=36 \end{gathered}\)so, the numer is 36
Step 2
b) 3/11 of a number is 12
\(\begin{gathered} \frac{3}{11}x=12 \\ \text{Multiply both sides by }\frac{11}{3} \\ \frac{3}{11}x\cdot\frac{11}{3}=12\cdot\frac{11}{3} \\ \frac{33}{33}x=\frac{132}{3} \\ x=44 \end{gathered}\)so, the number is 44
Which of the following statement is not true? * (a) 4 : 7 = 5 : 9 (b) 5 : 25 = 12 : 60 (c) 30 : 80 = 6 : 16 (d) 12 : 36 = 14 : 42
Answer:
a) 4:7 = 5:9 , there value is not equal
1 pizza costs $0.50 to make. They sell it for $12. Find the percent markup.
Answer:
ok let me try this again
To explain a markup, let's use an example: Let's say you purchase a box of paper that costs one dollar. You aim for a profit of 50%. By multiplying the cost by 50%, you get $0.50. This is your markup price. Add that to the price that you paid to purchase the box of paper, and now the total is $1.50. This is the selling price of the box of paper. Therefore, your markup percentage is 50%.
did that help i was not a faker though i was just trying to explain it to him/she better and can i have brainlist please
Plz help last one for the day!! Very tired. 20 ptz!!! HElpp being you!!
A pair of skates costs $40. It is on sale for 35% off. Your friend tells you the sale price is $54.00.
What is the correct sale price? What did "your" friend do wrong?
Answer:
35% of 40 = 14; 40 - 14 = 26.
Step-by-step explanation:
The friend added the 35% (14) of 40 instead of subtracting, which is what we'd need to do in this situation since the question says 35% off.
Since they added the 14, it came out of $54.00 which is incorrect. The true value (with discount) = $26.00.
Indeterminate form [0^0]: Calculate the following limits using L'Hospital's Rule.
lim tanx^sinx
x-> 0+
With the way the problem is written on my homework, I'm not sure if it's (tanx)^sinx or tan(x^sinx). Answers to both methods would be helpful.
When interpreting the expression as \((tanx)^{(sinx)\), the limit using L'Hospital's Rule is -∞ as x approaches 0+. However, when interpreting the expression as\(tan(x^{sinx})\), the limit is not well-defined due to the indeterminate form of 0^0.
To calculate the limit using L'Hospital's Rule, let's consider both interpretations of the expression and find the limits for each case:
Case 1: lim\((tanx)^{(sinx)\) as x approaches 0+
Taking the natural logarithm of the expression, we have:
\(ln[(tanx)^{(sinx)}] = sinx * ln(tanx)\)
Now, we can rewrite the expression as:
\(lim [sinx * ln(tanx)]\)as x approaches 0+
Applying L'Hospital's Rule, we differentiate the numerator and denominator:
\(lim [(cosx * ln(tanx)) + (sinx * sec^{2}(x))] / (1 / tanx)\) as x approaches 0+
Simplifying the expression:
\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * tanx\) as x approaches 0+
\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * (sinx / cosx)\) as x approaches 0+
\(lim [(cosx * ln(tanx) + sinx * sec^{2}(x)) / cosx] * sinx\) as x approaches 0+
\(lim [ln(tanx) + (sinx / cosx) * sec^{2}(x)] * sinx\) as x approaches 0+
\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+
Since lim ln(tanx) as x approaches 0+ = -∞ and\(lim (tanx * sec^{2}(x))\) as x approaches 0+ = 0, we have:
\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+ = -∞
Therefore, the limit of \((tanx)^{(sinx)\) as x approaches 0+ using L'Hospital's Rule is -∞.
Case 2: lim\(tan(x^{sinx})\)as x approaches 0+
We can rewrite the expression as:
lim\(tan(x^{(sinx)})\) as x approaches 0+
This expression does not have an indeterminate form of \(0^0\), so we do not need to use L'Hospital's Rule. Instead, we can substitute x = 0 directly into the expression:
lim \(tan(0^{(sin0)})\) as x approaches 0+
lim\(tan(0^0)\)as x approaches 0+
The value of \(0^0\) is considered an indeterminate form, so we cannot determine its value directly. The limit in this case is not well-defined.
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a table or spreadsheet used to systematically evaluate options according to specific criteria is a ________.
A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.
A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.
The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.
By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.
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What is 5[cos(Pi/4) + I sin (pi/4)] raised to the 3rd power?
Answer: The answer is C on edge
Step-by-step explanation:
I don’t not know how to do this and I’m struggling,please help.
Answer:
The answer is option c) 56.5 ft²
Step-by-step explanation:
Area of shaded region =
Area of Big Circle - ( Area of 1st small circle+ Area of 2nd small circle )
Area of 1st small circle:
π x r²
r = 3ft
Area = 3.14 x 3 x 3 => 28.26 ft²
Area of 2st small circle:
π x r²
r = 3ft
Area = 3.14 x 3 x 3 => 28.26 ft²
Area of big circle:
π x r²
r = 6ft ( ∵ Diameter of 1st small circle = 6 and since 2 small circles have equal area, their diameter should be the radius of big circle )
Area = 3.14 x 6 x 6 => 113.04 ft²
Area of shaded region => 113.04 - (28.26 + 28.26 )
=> 113.04 - 56.52
=> 56.52 ft²
a) There are 15 teachers in a school and 10 of them are male teachers. i) Find the ratio of the number of male and female teachers. (ii) Find the ratio of the number of female teachers and the total number of teachers. One of the angles of a pair of complementary angles is 50°. Find the ratio of the pair of complementary angles.
Answer:
i) 2:1
ii) 1:3
iii) 5:4
Step-by-step explanation:
i) Male teachers : Female teachers
10 : 15-10
10 : 5
2 : 1
ii) Female teachers : Total teachers
5 : 15
1 : 3
iii) Do remember that two angles are called complementary if their measures add to 90 degrees.
Hence, ration of the pair of complementary angles = 50 : 90-50
= 50 : 40
= 5 : 4
Answer:
Step-by-step explanation:
Total number of teachers = 15
Given number of male teachers = 10
Therefore number of female teachers = 15 - 10 = 5
i)
Ratio of male and female teachers
\(\frac{male}{female} = \frac{10}{5} = \frac{2}{1}\\\\Ratio = 2 : 1\)
ii)
Ratio of female teachers and total number of teachers
\(\frac{female}{total\ teachers} = \frac{5}{15} =\frac{1}{3} \\\\Ratio = 1 : 3\)
iii)
If x and y are complementary angles, then x+ y = 90°
Given : one angle, x = 50°
Therefore, 50° + y = 90°
y = 90 - 50 = 40°
Ratio of the pair of complementary angles
\(\frac{x}{y} = \frac{50}{40} = \frac{5}{4} \\\\Ratio = 5 : 4\)
An accountant earns 6% simple interest. You want to find the interest earned on $200 after 8 months.
Answer:
The interest is $12
Step-by-step explanation:
You just put the percent in a decimal form(6%-0.06)Then you multiply 200 with 0.06. And the answer you get is the interest
Hope that helps :)
Cindy just became a personal trainer and is finalizing her pricing plans.
Answer:
Nice
Step-by-step explanation:
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0? –4 –2 2 4
Answer:
-2
Step-by-step explanation:
f(x) + g(x) = x^2 - 2x +6x +4 = x^2 + 4x + 4
(f+g)(x)=0
x^2 + 4x + 4 = 0
x= -2
10 waffles and 4 pancakes cost $14. Five waffles and eight pancakes cost
$10. How much does a waffle cost? How much does a pancake cost?
9514 1404 393
Answer:
pancake: $0.50waffle: $1.20Step-by-step explanation:
You can model the bills using w and p for the price of a waffle and pancake, respectively.
10w + 4p = 14
5w +8p = 10
Subtract half the first equation from the second:
(5w +8p) -(1/2)(10w +4p) = (10) -(1/2)(14)
6p = 3 . . . . . . . simplify
p = 0.50 . . . . . divide by 6
10w + 4(0.50) = 14 . . . . substitute into the first equation
10w = 12 . . . . . . . . . . . . subtract 2
w = 1.20 . . . . . . . . . . . . .divide by 10
A waffle costs $1.20; a pancake costs $0.50.
If you walk for 1. 5 hours and at 3mph then for the next 0. 5 hours how fast do you run for an average of 4 mph
In order to have an average speed of 4 mph for the entire trip, you would need to run at a speed of 7 mph for the next 0.5 hours after walking for 1.5 hours at 3 mph.
Let's begin by calculating the total distance covered during the entire trip, which is:
distance = (time walked) x (walking speed) + (time ran) x (running speed)
We know that the time walked is 1.5 hours and the walking speed is 3 mph, so the distance covered during walking is:
distance walked = (time walked) x (walking speed) = 1.5 x 3 = 4.5 miles
We also know that the average speed for the entire trip is 4 mph, and that the total time for the trip is 2 hours. Therefore, the distance covered during the entire trip is:
distance = (average speed) x (total time) = 4 x 2 = 8 miles
So the distance covered during running is:
distance ran = distance - distance walked = 8 - 4.5 = 3.5 miles
Now we can use the formula for average speed:
average speed = total distance / total time
To find the running speed, we need to solve for the running time, which is:
time ran = distance ran / running speed
Substituting this expression into the average speed formula, we get:
4 = (distance walked + distance ran) / (1.5 + time ran)
4 = (4.5 + 3.5) / (1.5 + distance ran / running speed)
Simplifying this expression, we get:
1.5 + distance ran / running speed = 2
distance ran / running speed = 0.5
Substituting the values we calculated, we get:
3.5 / running speed = 0.5
Solving for the running speed, we get:
running speed = 3.5 / 0.5 = 7 mph
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A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40 units to test for quality. The product is put through a wear-and-tear test to determine the number of days it can last. If the product has a lifespan of less than 26 days, it is considered defective. The table gives the sample data that a quality control manager collected. 39 31 38 40 29 32 33 39 35 32 32 27 30 31 27 30 29 34 36 25 30 32 38 35 40 29 32 31 26 26 32 26 30 40 32 39 37 25 29 34 the point estimate of the population mean is , and the point estimate of the proportion of defective units is.
The percentage of defective units is 2/40, which equals 0.05.
What is mean?In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.
It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."
It is a statistical idea with significant financial implications. The idea is applied in a number of financial areas, such as business appraisal and portfolio management, although not exclusively.
There are several methods for calculating a set of values' central tendency. The mean can be calculated in a number of different methods. The top two are listed below:
The sum of all values in a group of numbers divided by the total number of numbers in the group is the arithmetic mean.
According to our question-
Point estimate of mean = (39 + 31 + 38 + 40 + 29 + 32 + 33 + 39 + 35 + 32 + 32 + 27 + 30 + 31 + 27 + 30 + 29 + 34 + 36 + 25 + 30 + 32 + 38 + 35 + 40 + 29 + 32 + 31 + 26 + 26 + 32 + 26 + 30 + 40 + 32 + 39 + 37 + 25 + 29 + 34)/40
Point Estimate of the mean = 1292/40 = 32.3
Hence , The percentage of defective units is 2/40, which equals 0.05.
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Answer:
The point estimate of the population mean is
32.30
, and the point estimate of the proportion of defective units is
0.05
.
Step-by-step explanation:
i got it right
Show that ∑
i=1
6
(dx
i
+e)=d(∑
i=1
6
x
i
)+6e 2. Show the equation below in a Sigma operator notation: (5x
3
+4)+(5x
3
+5)+(5x
3
+6)+(5x
3
+7)+(5x
3
+8)+(5x
3
+9)
Since both sides are equal, we have shown that ∑(i=1 to 6) (dx_i + e) = d(∑\((i=1 to 6) x_i\)) + 6e. This represents the summation of the terms \((5x_3 + i)\) for i = 1 to 6.
To show that ∑(i=1 to 6) \((dx_i + e)\)= d(∑(i=1 \(x_i\)) + 6e, we can expand both sides and compare.
Left-hand side:
∑\((i=1 to 6) (dx_i + e) = (dx_1 + e) + (dx_2 + e) + (dx_3 + e) + (dx_4 + e) +\)(dx_5 + \(e) + (dx_6 + e)\)
= \(dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6 + e + e + e + e\)+ e + e
= \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6) + 6e\)
Right-hand side:
d(∑\((i=1 to 6) x_i)\)+ 6e = d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\)+ 6e
Now, let's compare the two sides:
Left-hand side: \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6)\) + 6e
Right-hand side: d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\) + 6e
Since both sides are equal, we have shown that ∑\((i=1 to 6) (dx_i + e)\) = d(∑(i=1 to 6)\(x_i)\) + 6e.
To represent the equation\((5x_3 + 4) + (5x_3 + 5) + (5x_3 + 6) + (5x_3 +\)7) + \((5x_3 + 8) + (5x_3 + 9)\) using a Sigma operator notation, we can write it as:
∑\((i=1 to 6) (5x_3 + i)\)
This represents the summation of the terms \((5x_3 + i)\)for i = 1 to 6.
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calculate the total surface area of the give cuboid
What is the range of function g(x)= f (x) +3?
Answer:
this is how i did it if this is correct maybe its helpful
A committee consisting of three people is to be selected from ten members. How many ways are there to select the committee of three people
Answer:
120
Step-by-step explanation:
10 choose 3
theres really no simple way to do that with work unless you have a fancy calculator.