Answer:
−2+4
Step-by-step explanation:
Answer:
-2g+4
Step-by-step explanation:
you have to distriute the negitive
-2g+4
so that is your answer
i hope this helps :)
Given that zQ =zR and pv= PT, show that PQ = PR
Answer:
We have,
According to given figure.
PQ=PR(giventhat)
QS=SR(Bydefinationofmidpoint)
PS=PS(Commonline)
Then,
ΔSPQ≅ΔSPR (BY congruency S.S.S.)
Hence, PS bisects ∠PQR by definition of angle bisector.
which rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities
The multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.
What is the multiplicative rule?The multiplication rule is a method for calculating the likelihood of two events occurring at the same time (this is also one of the AP Statistics formulas). There are two rules for multiplication. P(A B) = P(A) P(B|A) is the general multiplication rule formula, while P(A B) is the specific multiplication rule (A and B).The multiplication rule is the multiplication of one event's probability by the likelihood of another occurrence. The law of independent assortment, Mendel's second law, stipulates that alleles of one gene segregate into gametes independently of alleles of another gene.Therefore, the multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.
Know more about the multiplicative rule here:
https://brainly.com/question/17272828
#SPJ4
There were 50,000 bacteria in a petri dish yesterday at noon, and 40,000 bacteria at noon today. if the trend continues, on what day at noon can you expect to find less than 5,000 bacteria?
Answer:
900
Step-by-step explanation:
find the diagonal of a rectangle solid whose dimensions are 3,4,5 (please include explanation)
The diagonal of the rectangle solid is [tex]\sqrt{50[/tex]
How to determine the diagonal of a rectangle solid?The dimensions are given as:
3,4,5
The diagonal is calculated as:
[tex]d = \sqrt{3^2 + 4^2 + 5^2[/tex]
This gives
[tex]d = \sqrt{50[/tex]
Hence, the diagonal of the rectangle solid is [tex]\sqrt{50[/tex]
Read more about diagonal at:
https://brainly.com/question/654982
#SPJ1
Agents J and K work in a long hallway with 4000 equally-spaced, consecutive offices. The agents decide to walk toward each other so they can meet and have lunch together. Agent J has recently been relocated from office 2013 to office 1. His former office neighbor, Agent K, is still in office 2014. Assuming that Agent J can walk at a rate of 25 offices per minute, and Agent K walks at 36 offices per minute, what office will they meet at if they leave at the same time
At office 826 they will meet if they leave at the same time.
How many offices are there between agents J and K?It is given that,
Agent J has recently been relocated from office 2013 to office 1. But his former office neighbor, Agent K is still in office 2014.
So, there are (2014 - 1) - 1 = 2012 offices in between them.
How much time is required for them to walk the whole distance?It is given that,
Agent J can walk at a rate of 25 offices per minute, and Agent K walks at 36 offices per minute.
So,
Per minute they cross
= 25 + 36
= 61 offices.
Thus, the time required for crossing all the 2012 offices is,
= 2012/61
= 32.9 ≅ 33 minutes
Then,
They will meet at
1 + 25(33) = 826 office (or)
2014 - 36(33) = 826 office (Negative since opposite direction)
Therefore, both of them meet at office 826.
Refer similar problem here:
https://brainly.com/question/1267118
#SPJ4
(Determine the net change between the indicated points on the graph.
Answer: 4
Step-by-step explanation:
The points are (-1, 1) and (5, 5).
So, the difference in the y coordinates is [tex]5-1=4[/tex].
The net change between the x-coordinates and y-coordinates on the graph is 6 units and 4 units respectively.
The coordinates from the given graph are (5, 5) and (-1, 1).
What is the net change between the coordinate points?Given two points, (a, f(a)) and (b, f(b)) on the graph of f(x), the net change is the difference between the two f(x) values. Thus, net change is given by f(b)−f(a).
Here, the change in x-coordinates is 5-(-1) = 6
The change in y-coordinates is 5-1 = 4
Therefore, the net change between the x-coordinates and y-coordinates on the graph is 6 units and 4 units respectively.
To learn more about the net change between the coordinate points visit:
https://brainly.com/question/28716901.
#SPJ2
Help me solve this problem on arithmetic and geométrica sequences
Answer:
math math math math math math math math math math
Which expression could help you find the distance between –1 and 3 on the number line?
Answer:
|-1| + |3|
Step-by-step explanation:
We can use absolute values to find the distance between positive and negative numbers on a number line.
|-1| + |3| =
Keep in mind that
- the absolute value of a positive number is positive and
- the absolute value of a negative number is positive
1 + 3 =
4 units
From Andys house to Billys hometown you can travel by 3 roads. And to get from Billys hometown to Willies's house you can travel by 5 roads. How many possible wats are there to travel from andys house to willies house?
Using the Fundamental Counting Theorem, there are 15 ways to travel from Andy's house to Willie's house.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For this problem, the parameters are:
[tex]n_1 = 3, n_2 = 5[/tex].
Hence the number of ways is:
N = 3 x 5 = 15.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
#SPJ1
I thought of a number,double it,then decreased it by 17. Then I divided the results by 3 I got 15. What was my number
Answer:
31.
Step-by-step explanation:
We have the equation:
(2x - 17) / 3 = 15 where x is the number to be found.
Multiply both sides by 3:
2x - 17 = 45
2x = 45 + 17 = 62
x = 31.
As a server or bartender, it is a good practice a. to have multiple interactions with patrons to evaluate their moods and needs. b. sample the patrons' drink to determine how strong they are. c. to not take patrons' drink orders too quickly upon arrival. d. to only serve the patrons one alcoholic drink every 90 minutes.
It is a good practice for a server or bartender to not take patrons' drink orders too quickly
Who is a bartender or server?A bartender a person who prepares or serves alcoholic and some non-alcoholic beverages from behind a bar.
Below are some of the duties or responsibilities of a bartender:
Greet customers and create a welcoming atmosphere.Use a till to take orders and payments.Handle cash.Serve drinks at the bar or at the table.Keep the bar clean and well stocked.Give advice on drinks to suit customers' tastes.Collect glasses and wash up.So therefore, it is a good practice for a server or bartender to not take patrons' drink orders too quickly
Learn more about bartenders or servers:
https://brainly.com/question/14722415
#SPJ1
Find the smallest perimeter and the dimensions for a rectangle with an area of 169 in2. Question content area bottom Part 1 The smallest perimeter for a rectangle with an area of 169 in2 is enter your response here in.
The smallest perimeter and dimensions of rectangle having area of 169 [tex]inches^{2}[/tex] is 52 inches , length 16 inches and breadth also 16 inches.
Given that the area of rectangle is 169 [tex]inches^{2}[/tex].
We have to find the smallest perimeter and dimensions of the rectangle.
let the length of rectangle be x inches and breadth be y inches.
We know that area of rectangle is the product of its length and breadth. So,
Area=xy
169=xy
y=169/x
Perimeter of rectangle =2(x+y)
Put the value of y=169/x in the perimeter.
P=2(x+169/x)
P=2x+338/x
Differentiate both sides with respect to x.
dP/dx=2-338/[tex]x^{2}[/tex]
Again differentiate it with respect to x.
[tex]d^{2} P/dP^{2}[/tex]=676/[tex]x^{3}[/tex]
Because the second derivative is greater than 0 so the perimeter is minimum.
Put dP/dx=0 to get the value of x.
dP/dx=0
2-338/[tex]x^{2}[/tex]=0
2=338/[tex]x^{2}[/tex]
[tex]x^{2}[/tex]=169
x=[tex]\sqrt{169}[/tex]
x=13
Put the value of x in y=169/x
y=169/13
=13
To calculate the perimeter, put the values of x and y in P=2(x+y)
P=2(13+13)
=2*26
=52 inches.
Hence The smallest perimeter and dimensions of rectangle having area of 169 [tex]inches^{2}[/tex] is 52 inches , length 16 inches and breadth also 16 inches.
Learn more about perimeter at https://brainly.com/question/397857
#SPJ1
Leigh has information on how many customers purchase bagels at her coffee shop. With the bagel sales numbers from the past four months, she wants to
To predict the bagel sales numbers for the next month, Leigh could use Predict trend.
Given that Leigh has information on how many customers purchase bagel at her coffee shop.
We are required to answer the spreadsheet Leigh could use to predict bagel sales number for the next month.
Spreadsheet is developed for windows, macOS, Android and iOS.It features calculation through functions. In this we can use mathematical functions,logical functions, etc.
Leigh could use predict trend to predict the sales number of bagels of next month.
Hence predict trend could be used by Leigh to predict the sales for the next month.
Learn more about spreadsheets at https://brainly.com/question/26919847
#SPJ4
Question is incomplete as question should include the following:
What spreadsheet could Leigh use to predict the sales of next month?
You’re catering a banquet and want to use a delicious chicken recipe that was a success with a previous client. However, the recipe makes 10, 4-oz portions, and you need to serve 60 people with 3-oz portions. Calculate the recipe conversion factor.
The conversion factor of the chicken recipe used at the banquet is 4.5.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Conversion factor = (new amount * portion size) / (old amount * portion size)
Hence:
Conversion factor = (60 * 3) / (10 * 4) = 4.5
The conversion factor of the chicken recipe used at the banquet is 4.5.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Use the drawing tools to form the correct answers on the grid.
Graph these equations:
Drawing Tools
2 Line
Show Instructions
-10 9 8 7 6 5 432
9
S
S
4
W
2
2
3
4
5
5 Fr
in
92
23
4
5678
9 10
Answer:
I don't understand the array of numbers as written in the question.
Step-by-step explanation:
See attached image
The equation -2x − y = -4 shows the budget for spending on supplies over the next few weeks. If the total money (y) decreases every week (x), how many weeks will it take for the budget money to run out?
The number of weeks it will take for the budget money to run out is; 2 weeks.
How many weeks will it take for the money to run out?The number of weeks it would take for the budget money to decrease till it runs out as required in the task can be interpreted as the x-value which corresponds to a Y-value of zero.
Hence, by setting y=0; we have;
-2x -0 = -4
-2x = -4
Divide both sides of the equation by; -2.
x = 2
Read more on x-intercept of a linear equation;
https://brainly.com/question/4074386
#SPJ1
36 fifth graders are on a team with the same number on students on each team, if there are more then then 1 but less then 20 teams, how many students can be on each team?
Depending on the number of teams, the possible numbers of students per team are in the set:
{2, 3, 4, 6, 9, 12, 18}
How many students can be on each team?
We know that there are 36 students divided equally into N teams.
Such that the number of teams is larger than 1 and smaller than 20.
Then we could have 2 teams, such that the number of students in each team is given by the quotient between the total number of students and the number of teams.
36/2 = 18
There are 18 students in each team.
Notice that the numbers of teams can only be factors of 36, where:
36 = 6*6 = 2*2*3*3
So the factors are:
2, 3, 2*3, 3*3, etc...
If there are 3 teams we have:
36/3 = 12 students per team.
If there are 6 teams we have:
36/6 = 6 students per team.
if there are 9 teams:
36/9 = 4 students per team.
If there are 12 teams:
36/12 = 3 students per team.
If there are 18 teams:
36/18 = 2 students per team.
These are all the possibilities.
If you want to learn more about factors:
https://brainly.com/question/219464
#SPJ1
Given the following system of equations for n≥2, find a5.
a1=2
an=3⋅an−1−1
Select one:
a. 41
b. 122
c. 365
d. 2,094
Answer:
b
Step-by-step explanation:
using the recursive rule [tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] - 1 and a₁ = 2 , then
a₂ = 3a₁ - 1 = (3 × 2) - 1 = 6 - 1 = 5
a₃ = 3a₂ - 1 = (3 × 5) - 1 = 15 - 1 = 14
a₄ = 3a₃ - 1 = (3 × 14) - 1 = 42 - 1 = 41
a₅ = 3a₄ - 1 = (3 × 41) - 1 = 123 - 1 = 122
A hospital director is told that 79% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is not the expected percentage. A sample of 260 patients found that 195 were insured. At the 0.05 level, is there enough evidence to support the director's claim
The probability computed shows that there ia enough evidence to support the director's claim.
How to illustrate the probability?From the information given, the hospital director is told that 79% of the emergency room visitors are insured.
p = 0.79
q = 1 - 0.79 = 0.21
The computation of the z value is -1.91. This is a two tailed test.
The p-value will be:
= P(Z < -1.91)
= 0.0562 under the distribution table.
In this case, the p value is less than 0.10, therefore, we reject the null hypothesis.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
This is confusing me please someone help
Answer:
The distance from the plane to the observer tower is 7.7 kmStep-by-step explanation:
We are given two sides and one angle opposite to one of the known sides.
In order to find the missing side we need to use the law of sines.
Step 1Find the angle opposite to the second known side, let it be x.
sin 68°/7.5 = sin x /5.2sin x = 5.2 sin 68°/7.5sin x = 0.64 (rounded)x = arcsin 0.64x = 39.8°Step 2Find the missing third angle y, using angle sum theorem:
68° + 39.8° + y = 180°107.8° + y = 180°y = 180° - 107.8°y = 72.2°Step 3Find the required side length z, the distance from the plane to the observer tower, using the law of sines again.
Note. At this point you can use the law of cosines as we have found the angle between the known sides.
sin 68°/7.5 = sin 72.2°/zz = 7.5 sin 72.2°/sin 68°z = 7.7 km (rounded)
So the required distance is 7.7 km
If 3 cups of flour are needed to make 60 biscuits, how much flour is needed to make 95 of the same kind of biscuits
Answer:
3 cups for 60 biscuits
60/3=20
1 cup for 20 biscuits
95/20=4.75
4.75 cups of flour
Hope This Helps!!!
Answer:4.75
Step-by-step explanation: If 3 cups equals 60 biscuits then how much with you need for 95 biscuits
60/3 equals 20 95/20 equals 4.75 just to make sure lets multiply
475x20 equals 9500 now put the decimal back in place 95.00
PLS HELP ASAP
whats relationship between a and b
The correct answer is none of the above.
What is a line?A line is defined as the shortest distance between two points and the point where two lines meet is known as an angle.
From the given figure, the measure of angle a and b are supplementary since the sum of the angles is not 180 degrees.
They are not vertical angles since they do not meet at a point of intersection
The measure of angle a and b are complementary since the sum of the angles is not 90 degrees. Hence the correct answer is none of the above.
Learn more on lines and angles here: https://brainly.com/question/25716982
#SPJ1
solve each equation round to the nearest ten-thousandth in (x+21)=7
The solution to the equation (x+21)=7 is x = -14
How to solve the equation?The equation is given as:
(x+21)=7
Remove the brackets
x + 21 = 7
Subtract 21 from both sides
x + 21 - 21 = 7 - 21
Evaluate the expression
x = -14
Hence, the solution to the equation (x+21)=7 is x = -14
Read more about equations at:
https://brainly.com/question/2972832
#SPJ1
I need help for upcoming test tomorrow, will give brainliest
Answer:
[tex]\frac{5x+2}{(x-4)(x+7)}[/tex]
Step-by-step explanation:
to obtain a common denominator
multiply the numerator/denominator of the first fraction by x + 7
multiply the numerator/denominator of the second fraction by x - 4
= [tex]\frac{2(x+7)}{(x-4)(x+7)}[/tex] + [tex]\frac{3(x-4)}{(x-4)(x+7)}[/tex]
simplify and add numerators leaving the common denominator
= [tex]\frac{2x+14+3x-12}{(x-4)(x+7)}[/tex]
= [tex]\frac{5x+2}{(x-4)(x+7)}[/tex]
Sketch the curve y = \sqrt{x+3} .
Find the area bounded by the curve, X-axis and Y-axis.
I get the first part but not the second part.
The area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3
How to determine the area bounded by the curve, x-axis and y-axis?The curve is given as:
y = √(x + 3)
The area bounded by the curve, x-axis and y-axis is when x = 0 and y = 0
When y = 0, we have:
0 = √(x + 3)
This gives
x = -3
So, we set up the following integral
A = ∫ f(x) d(x) (Interval a to b)
This gives
A = ∫ √(x + 3) d(x) (Interval -3 to 0)
When the above is integrated, we have:
A = 1/3 * [2(x + 3)^(3/2)] (Interval -3 to 0)
Expand
A = 1/3 * [2(0 + 3)^3/2 - 2(-3 + 3)^3/2]
This gives
A = 1/3 * 2(3)^3/2
Apply the law of indices
A = 2(3)^1/2
Rewrite as:
A = 2√3 or 3.46
Hence, the area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3
Read more about areas at:
brainly.com/question/14115342
#SPJ1
A customer who sees a pair of boots online but then decides to buy the same pair at Macy's after trying them on would be best classified as a(n)
The term used to describe a customer who sees a pair of boots online but then decides to buy the same pair at Macy's after trying them on would be best classified as a cross-channel shopper.
Who is a cross-channel shopper?A cross-channel shopper is a consumer who uses various combination of both several channels for the same purchase.
The customer has checked the pair of boots online but rather purchased the same boots at Macy's instead of purchasing online.
Therefore, a cross-channel shopper uses different purchasing channel to purchase a product.
Learn more about consumer:
https://brainly.com/question/380037
#SPJ1
Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:
Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
PLEASE HELP WITH PART B ASAP
The explanation about the graph is illustrated below.
How to illustrate the graph?The graph shows 0 to 30 on the x-axis at increments of 5 and 0 to 12 on the y-axis at increments of 1. The label on the x-axis is Temperature in degrees C, and the label on the y axis is the Number of Sweaters Sold.
If you will draw lines through, (12.5,6) and (15,4), it will best represent a line of best fit, because most of the points on the same and opposite sides of line are equidistant from each other.
Equation of line passing through (12.5,6) and (15,4) A line of best is the line that passes through all or some points or only through a single point, which describes the relationship between x and y values of data set
4x + 5y = 80
5y = -4x + 80.
y = -4x/5 + 16
Slope = -4/5 and y intercept is 16.
Learn more about graph on:
https://brainly.com/question/9352287
#SPJ1
Can someone please help
Solving the given equation, the value of v that makes the statement true is:
A. v = 8.
What is the given equation?The equation is:
[tex]12 = 12 + \frac{v - 8}{2}[/tex]
Hence:
[tex]\frac{v - 8}{2} = 0[/tex]
Applying cross multiplication:
v - 8 = 0
v = 8.
Hence option A is correct.
More can be learned about equations at https://brainly.com/question/27882730
#SPJ1
Calculate the mean and standard deviation for the average yards rushed by
each player. Then graph the data (use the mean for each player and SD for error bars).
Compare and contrast the mean rushing yards Dillon and Corey.
What does the SD indicate about the mean rushing yards for each player?
Question:
A sample of cans of peaches was taken from a warehouse, and the content of each can mearsed for weight. the sample means was 486g with stand deviation 6g. state the weight percentage of cans with weight:
Draw normal curve to help - split into 8 section ( i can't draw it here)
a) 34.13% of cans will be between 480g and 486g.
b) 13.59 + 2.15 + 0.13= 15.87% of cans greater than 492g.
Look at the Stand Dev Graph where the give you the number
Step-by-step explanation:
Let me give you a different question and i will answer it, which you help you answer your question.
What is the nature of the solution set to the following system of equations?
4x + 3y = 2
3x − 2y = 10
The solution to the system of equations is one solution at (2, -2)
How to determine the solution set?The system of equations is given as:
4x + 3y = 2
3x − 2y = 10
Multiply (1) by 2 and (2) by 3.
So, we have:
8x + 6y = 4
9x − 6y = 30
Add both equations
17x = 34
Divide by 17
x = 2
Substitute x = 2 in 3x − 2y = 10
3(2) − 2y = 10
Solve for y
y = -2
Hence, the solution to the system of equations is one solution at (2, -2)
Read more about system of equations at
https://brainly.com/question/12895249
#SPJ1