Answer:
-(-45) and -|45|
Step-by-step explanation:
Opposite of a number can also me termed the conjugate of such number. For example, the conjugate (opposite) of a is -a.
Also any value in the modulus sign can either be a negative or positive value. For example |a| can be +a or -a.
According to the question, we are to find the numbers that are equivalent to opposite of -45 i.e which of them are conjugate of -45.
To do this, we are to select the values in the options that will return +45.
Let's look at each option.
For -(-45):
Since the product of two negative sign will give a positive(+), then -(-45) = +45 and hence the value is opposite of -45
For -45:
-45 is a negative value and can never be positive since 45 is not inside a modulus sign. Hence, -45 is not equal to opposite of -45.
For −|−45|, |-45| can only return a positive value since -45 is already in a modulus sign. What the modulus sign will do is convert it to positive value i.e |-45| = 45. Hence -|-45| ≈ -(45) which is not also equivalent to the opposite of-45.
For -|45|:
The value inside modules will return both +45 and -45, hence it can be written as -|45| = -(-45) = +45. This shows that -|45| is also equivalent to the opposite of -45.
Answer:
-(-45) and -|45|
Step-by-step explanation:
What is the average rate of change over the interval [0.75, 1.125]? Explain the meaning of the average rate of change.
Answer:
1) The average rte of change = 6
2) The average rate of change over an interval is the ratio of the total change in the determinate variable or function (values of the output of the function) to the change in the indeterminate variable (values of the input of the function)
Step-by-step explanation:
1) The average of change of the function is found as follows;
At x = 0.75, y = -0.5, at x = 1.125, y = 1.75
Therefore, the average rate of change = (1.75 - (-0.5))/(1.125 - 0.75) = 6
2) The average rate of change over an interval on a graph or of a curve is found by dividing the difference between the y-coordinate values of the two points on the graph by the difference of the x-coordinate values of the two points.
Which of the following are irrational numbers?
86
-29
88.80
[tex] \sqrt{46} [/tex]
Answer:
sqrt 46
Step-by-step explanation:
irrational numbers are numbers cannot be define in a fraction. sqrt of 46 will give you infinite decimal which could not be express in a fraction form.
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.
Complete parts (a) through (c) below.
a. Identify the null and alternative hypotheses.
b. Compute the test statistic. χ2 = ___ (round to three decimals)
c. Find the P-value. P-value=____(Round to four decimal places as needed.)
d. State the conclusion. (reject null/ eccept null)
Answer:
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\sigma[/tex] = 10 beats per minute
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\sigma\neq[/tex] 10 beats per minute
(b) The value of chi-square test statistics is 35.704.
(c) P-value = 0.4360.
(d) We conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.
Step-by-step explanation:
We are given that a simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute.
If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute.
Let [tex]\sigma[/tex] = population standard deviation for the pulse rates of men.
(a) So, Null Hypothesis, [tex]H_0[/tex] : [tex]\sigma[/tex] = 10 beats per minute {means that the pulse rates of men have a standard deviation equal to 10 beats per minute}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\sigma\neq[/tex] 10 beats per minute {means that the pulse rates of men have a standard deviation different from 10 beats per minute}
The test statistics that will be used here is One-sample chi-square test for standard deviation;
T.S. = [tex]\frac{(n-1)\times s^{2} }{\sigma^{2} }[/tex] ~ [tex]\chi^{2}__n_-_1[/tex]
where, s = sample standard deviation = 10.1 beats per minute
n = sample of men = 36
So, the test statistics = [tex]\frac{(36-1)\times 10.1^{2} }{10^{2} }[/tex] ~ [tex]\chi^{2}__3_5[/tex]
= 35.70 4
(b) The value of chi-square test statistics is 35.704.
(c) Also, the P-value of the test statistics is given by;
P-value = P([tex]\chi^{2}__3_5[/tex] > 35.704) = 0.4360
(d) Since the P-value of our test statistics is more than the level of significance as 0.4360 > 0.10, so we have insufficient evidence to reject our null hypothesis as the test statistics will not fall in the rejection region.
Therefore, we conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.
A certain list consists of 3 different numbers. Does the median of the 3 numbers equal the average (arithmetic mean) of the 3 numbers
Answer:
Yes
Step-by-step explanation:
Let the numbers be p q r such that p>q>r
So p + q + r = 3q
2q = p+ r
And q< p but q> c,
So by Solving this would give
q= (p+ r)/2
so q is the mean of p & r.
Since the only other number that fits is q,
Then q is the mean of the numbers p,q,r
As so q is also the median of this set
Thus proving that the mean is the same as the median.
Simplify 8x - 3 (x + 1) - 4.
Answer:
5x-1
Step-by-step explanation:
8x-3(x+1)-4
{open the brackets}3x-3
8x-3x-3-4
5x+(-7), which is 5x-7
the cost of renting a car for one day and driving m miles if the rate is $49 per day plus 5 cents per mile
Answer:
[tex]Total\ Rent = 49 + 5m[/tex]
Step-by-step explanation:
Given
Rent per day = $49
Addition = 5 cents per mile
Required
Determine the rent for a day and m miles
First, we need to generate a formula from the given parameters;
Let d represent number of days and m represent additional miles;
[tex]Total\ Rent = 49 * d + 5 * m[/tex]
[tex]Total\ Rent = 49 d + 5 m[/tex]
Solving for the rent for a day and m miles
We have that: d = 1 and m = m
Substitute these in the formula above
[tex]Total\ Rent = 49 * 1 + 5 * m[/tex]
[tex]Total\ Rent = 49 + 5m[/tex]
Hence, the total rent is
[tex]Total\ Rent = 49 + 5m[/tex]
Find the length of the radius.
Answer:
1
Step-by-step explanation:
The radius is the distance from the center of the circle to any point on the circle. So it is 1 - 0 = 1,
4x-y=5 in slope intercept form solve for y
Answer:
[tex]y=-5+4x[/tex] and the slope intercept is [tex]y=4x-5[/tex]
Answer:
Use the slope intercept form, y=mx+b to find the slope m and the y intercept b
slope= -4
y intercept= (0,5)
#FreeMelvin
can someone please help me
Answer:
m = 20a = 48These are the answers.Step-by-step explanation:
1. m/-8 = -2.5
*-8 = *-8
m = -2.5*-8
m = 2.5*8
m = 20
2. 7/8a = 42
*8 *8
7a = 336
/7 /7
a = 336/7
a = 48
Hope this helped,
Kavitha
74. It's a Little Chilly! The normal high temperature in
Las Vegas, Nevada, on January 20 is 60°F. On January
20, 2008, the temperature was 6°F below normal. Ex-
press the departure from normal as an integer.
Answer:
si
Step-by-step explanation:
no
freememeskids
LET x=0 x-2y=4 what is the value of y?
Solve for the missing variable: LET y=0: x-2y=4 what is the value of x?
Answer:
When x = 0, then y = -2
When y = 0, then x = 4
Step-by-step explanation:
We are given with the following equation;
x - 2y = 4
Now, we have to find the respective values of x and y for each value of x = 0 and y = 0.
Firstly, putting the value of x = 0;
x - 2y = 4
0 - 2y = 4
-2y = 4
y = [tex]\frac{4}{-2}[/tex] = -2
This means that when x = 0, then y = -2.
Similarly, putting the value of y = 0;
x - 2y = 4
[tex]x-(2\times 0)=4[/tex]
x - 0 = 4
x = 4
This means that when y = 0, then x = 4.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer - Blue; x > 2 and x ≤ -3
Ok so one most to the left shows an arrow going "lesser" and starting at -3. Since the dot covers -3, that means it is equal to or less than -3.
So the on most to the right starts at 2 and the arrow is point "greater"
The circle is hollow, meaning is does not include 2. So that means it's greater than 2.
♡ Hope this helped! ♡
❀ 0ranges ❀
A quadratic function is given as..... Which of the following is a zero of the function?
Answer:
The last (7, 0)Step-by-step explanation:
Zeros are x-axis intercepts therefore y=0, so it's always (x, 0)
{For given function:
(x - 3)² - 16 = 0
(x - 3)² = 16
x - 3 = 4 or x - 3 = -4
x = 7 or x = -1
Zeros: (7, 0) and (-1, 0)}
A company uses the formula below to determine the salary offered to a potential employee, where s is the salary and y is the number of years of experience the potential employee has.
Answer:
63,565.
Step-by-step explanation:
The question is incomplete. Here is the complete question.
A company uses the formula below to determine the salary offered to a potential employee, where s is the salary and y is the number of years of experience the potential employee has. s = 1,856y + 45,005 What salary would be offered to a potential employee with 10 years of experience?
The modelled equation is expressed as
s = 1,856y + 45,005.
Since we are to get the salary that would be offered to a potential employee with 10 years of experience, we will substitute the variable y = 10 into the formula and calculate the value of s as shown:
s = 1,856y + 45,005
s = 1,856(10) + 45,005
s = 18,560 + 45,005
s = 63,565
Hence the salary that would be offered to a potential employee with 10 years of experience is 63,565.
A term in the algebraic expression 9x6+ 23x3 – 14x is
Terms = 9*6 is a term
then, 23*3 isa term
then, 14x is also a term
These triangles are similar Find the value of x
Answer:
C. 4
Step-by-step explanation:
This is just a common ratio. These two triangles are alike, just that one is smaller than the other. You can see that one of the sides of the big traingle is 10. The same side of the smaller triangle is 5. That means the big traingle's side is twice as big as the small circle's.
10 divided by 5= 2
If the big triangle's side got divided by 2 to get the smaller triangle's side. So, that means the other side of the big triangle, 8 is twice as big as the side on the smaller triangle, x.
8 divided by 2= x
8 divided by 2= 4, so x= 4.
This is the ratio:
8:10 to x:5
As you can see the 10 got divided by 2 to get the 5. So 8 must also get divided by 2, which equals 4.
If a translation of (x, y) + (x +6, y-10) is applied to
figure ABCD, what are the coordinates of D'?
B
O (-5,-2)
O (1, -12)
(4, -15)
O (-9, 6)
6
5
-32
2
3
х
D
с
The coordinates of the point D of the rectangle after the translation is given by D' ( 1 , -12 )
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Given data ,
Let the coordinates of the rectangle be ABCD
Now , the coordinate of the point D be D ( -5 , -2 )
And , the translation rule is ( x , y ) → ( x + 6 , y - 10 )
So , the point after translation be D'
where D' = D ( -5 + 6 , -2 - 10 )
The coordinates of D' = D' ( 1 , -12 )
Hence , the coordinates after translation is D' ( 1 , -12 )
To learn more about translation click :
https://brainly.com/question/19007400
#SPJ7
(2x2 + 2x + 3) - (x2 + 2x + 1) =
O A. x2 + 4
O B. x2 + 4x + 2
O C. x2 + 4x + 4
O D. x2 + 2
Answer:
[tex] \boxed{\sf D. \ x^2 + 2} [/tex]
Step-by-step explanation:
[tex] \sf Simplify \ the \ following: [/tex]
[tex] \sf \implies (2 {x}^{2} + 2x + 3) - ( {x}^{2} + 2x + 1)[/tex]
[tex] \sf - ( {x}^{2} + 2x + 1) = - {x}^{2} - 2x - 1 : [/tex]
[tex] \sf \implies (2 {x}^{2} + 2x + 3) - {x}^{2} - 2x - 1[/tex]
[tex] \sf Grouping \ like \ terms: [/tex]
[tex] \sf \implies (2 {x}^{2} - {x}^{2}) + (2x - 2x)+ (3 - 1)[/tex]
[tex] \sf 2 {x}^{2} - {x}^{2} = {x}^{2} : [/tex]
[tex] \sf \implies {x}^{2} + (2x - 2x)+ (3 - 1)[/tex]
[tex] \sf 2x - 2x = 0 : [/tex]
[tex] \sf \implies {x}^{2} + 0+ (3 - 1)[/tex]
[tex] \sf 3 - 1 = 2 : [/tex]
[tex] \sf \implies {x}^{2} +2[/tex]
calculate the total surface area of a cylinder whose radius is 7cm and height is 21cm.
1212
1227
1232
1242
Answer:
C. 1232
Step-by-step explanation:
A=2πrh+2πr2=2·π·7·21+2·π·72=1232.
Answer:
The answer is 1232cm^2
Step-by-step explanation:
Formula for total surface area of a cylinder is=2[tex]\pi[/tex]r²+2[tex]\pi[/tex]rh
radius=7 cm
height=21 cm
∴TSA= 2 x 3.14 x 7² + 2 x 3.14 x 7 x 21
TSA= 2 x 3.14 x 49 + 2 x 3.14 x 7 x 21
TSA=1232cm².
You can also use 22/7 for pile/[tex]\pi[/tex] instead of 3.14.
It's your choice.
Thanks.
I have a shuffled deck of 52 playing cards. A deck of cards has four different suits, with an even number of cards in each. I pick a card at random. What is the probability of me picking any card which is in the spades suit, as a decimal?
Answer:
The probability is 0.25
Step-by-step explanation:
Here is a probability question.
We want to know the probability of picking a card which is in the spades suit.
Now, what we know is that there are a total of 52 cards and we have 4 suites.
Each suite have equal number of cards. So definitely the number of cards in the spades suit will be 52/4 = 13 cards
Thus, the probability of picking any card in the spades suit = number of cards in the spades suit/ Total number of cards in the deck
Mathematically that would be 13/52 = 1/4 = 0.25
What number divided by 3 gives 12 as the result? A. -36 B. -4 С. 4 D. 36
B
M/N
O/P
WX
YZ
Note: Figure is not drawn to scale.
If the measure of ZW equals 118°, then what is the measure of ZZ?
A.
118°
B.
62°
C. 88°
D. 28°
Q1: Factor the polynomial 6x4 + 24x3 − 72x2 completely by first factoring out the GCF, and then factoring the rest of the expression. Q2: Consider the polynomial 6x4 + 24x3 − 72x2. What is the greatest common factor (GCF) of the terms of the polynomial?
Answer:
After factorizing the given polynomial we get 6x^2 (x+6)(x-2)
Step-by-step explanation:
Given Polynomial:
6x^4+24x^3−72x^2
We need to completely factorize the polynomial.
Consider,
6x^4+24x^3−72x^2
GCF = 6x^2, By taking it common out
= 6x^2 (x^2+4x-12)
= 6x^2 (x^2+6x-2x-12)
= 6x^2 (x(x+6)-2(x+6))
= 6x^2 (x+6)(x-2)
Therefore, After factorizing the given polynomial we get 6x² ( x + 6 ) ( x - 2 )
Please mark me Brainliest.
What word tells you the relationship that describes a equation?
Answer:
A linear equation in two variables describes a relationship in which the value of one of the variables depends on the value of the other variable.
Step-by-step explanation:
i think this is the right that you are looking for
hope this will help :)
1. Write an equation to represent the distance (d) that a person can run in t hours if she runs at a speed of 4 miles per hour. 2. Write an equation to represent the total cost (c) of buying candy bars (b) at a cost of $0.98 per bar. If a teacher wants to buy 20 chocolate bars for her students, how much will she pay? 3. Write an equation to represent the number of lawns (l) mowed in d days by a company that mows 18 lawns per day. How many lawns does the company mow in 5 days?
Answer:
1. The equation that represent the distance (d) that a person can run in t hours is: d = 4t
2. The equation is: c = $0.98(20)
3. The equation is: L = 18(5)
Step-by-step explanation:
1. The variable d represents the distance over time, and t represents the hour in the equation so if you want to find the distance over time, you would say distance per hour. The per means to multiply, so every distance is equal to 4 miles per hour..
2. If the teacher wants to find out how much she will have to pay for 20 chocolate bar, she has to substitute 20 into the equation to replace b, which means bar. So the equation would be: total cost (c) = $0.98 × chocolate bars (b). Once substituted, the equation will be c = $0.98(20).
3. The problem said "mows 18 lawns per day" and "mow in 5 days", that means that you substitute 5 into the equation to replace the d in days, since you are multiplying 5 × 18.. Your new equation will be: L = 18(5), Total Lawns = 18 (lawns) per 5 (days).
Jordan drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour how far does she live from the store?
Answer:
Jordan lives 18 miles away from the store
Step-by-step explanation:
Distance=speed × time
Where,
d= distance
s= speed
t= time
Total driving time takes half an hour
Distance=speed × time
time=Distance/speed
t=1.5
Speed 1=30 mph
Speed 2:=20 mph
t=d/s1 + d/s2
1.5=d/30 + d/20
1.5=20d + 30d / 600
1.5=50d/600
Cross product
1.5×600=50d
900=50d
Divide both sides by 50
900/50=d
18=d
Therefore,
d=18 miles
Jordan lives 18 miles away from the store
I need help solving these
Answer: The first one is 1/2f The second one is 8/f
Step-by-step explanation: You're welcome im 99% sure about this.
To estimate your average monthly salary, divide your yearly salary by the number of months in a year. Write and solve an equation to determine your yearly salary when your average monthly salary is $4,559.
Answer:
yearly salary = $54,708
Step-by-step explanation:
Let monthly salary be x
Let yearly salary be y
Let number of months be n
To estimate your average monthly salary, divide your yearly salary by the number of months in a year. This can be written as
x = y divided by n
[tex]x = \frac{y}{n}[/tex]
Therefore, writing an equation to determine yearly salary is the same as making the yearly salary 'y' the subject of the formula above:
[tex]x = \frac{y}{n}\\cross-multiplying\\n\ \times\ x= y\\y\ =\ nx[/tex]
where y = ???
x = $4,559
n = 12 months
[tex]y = 4,559\ \times\ 12 \\= \$\ 54,708[/tex]
Therefore yearly salary = $54,708
Which of the following list of side lengths could form a triangle?
a. 10, 12, and 25
b. 5, 6, and 12
c. 2, 2, and 4
d. 4, 5, and 6
Answer:
d. 4, 5, and 6
Step-by-step explanation:
The sum of the lengths of the two shorter sides must be greater than that of the longest side.
4 + 5 > 6
a. is wrong. 10 + 12 ≯ 25.
b. is wrong. 5 + 6 ≯ 12.
c. is wrong. 2 + 2 ≯ 4
(Please help! :( savvas Realize sucks I don't understand)
_______________________________
Find the coordinates of the point 7/10 of the way from A to B. (see picture for graph).
The coordinates of the point 7/10 of the way from A to B are ________.
(Type an ordered pair.)
Answer:
(5.4, 2.7)
Step-by-step explanation:
The coordinates of the point 7/10 of the way from A to B is given by the relation;
(x₁ + m×(x₂ - x₁), y₁ + m×(y₂ - y₁))
Where the coordinate of point A is (-3, -5) and the coordinates of the point B is (9, 6) we have;
x₁ = -3
m = 7/10
x₂ = 9
y₁ = -5
y₂ = 6
Substituting the values into the above equation gives;
-3 + 7/10 × (9 - (-3)), -5 + 7/10 × (6 - (-5)) = (5.4, 2.7)
The coordinate of the point P, 7/10 from A is (5.4, 2.7)
We check the length of the point from A to B to give;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex] =
[tex]l_{AB} = \sqrt{\left (6-(-5) \right )^{2}+\left (9-(-5) \right )^{2}} = \sqrt{265}[/tex]
the length of the point from A to B gives
[tex]l_{AB} = \sqrt{\left (2.7-(-5) \right )^{2}+\left (5.4-(-5) \right )^{2}} = \dfrac{7}{10} \times \sqrt{265}[/tex]
The coordinate of the point 7/10 of the way from A to B are (5.4, 2.7).