Answer:
v = -3i - 2j
Step-by-step explanation:
Vector given two points:
Given two points, a vector is the subtraction of the terminal point by the initial point.
In this question:
Initial point: (-1, 4)
Terminal point: (-4, 2)
So
v = (-4,2) - (-1, 4) = (-4 - (-1), 2 - 4) = (-3,-2)
The vector is v = (-3,-2)
In component form:
xvalue is i, yvalue j. So
v = -3i - 2j
Given angle DEF : angle RST, find the scale factor.
The scale factor is the bigger over the smaller, so [tex]\frac{4}{3}[/tex] is the scale factor.
To find x, we just use a proportion Biggest to Smallest:
[tex]\frac{4}{3}=\frac{16}{x}[/tex]
4x = 48
x = 12
NEED HELP IN LESS THAN 5 MINUTES!!!
Sara has taken four math tests so far this year. She has scored a 93, 96, 85, and 87. What score does she have to get on her fifth math test for her mean test score to be AT LEAST a 91.
Answer:
At least a 94
Step-by-step explanation:
what is the distance of 120 and -5 on a number line
Answer:
the distance between-5 to 120 on a number line is 124
Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adults and 4 children is $235. The total charge for 4 adults and 5 children is $305. Which system of equations represents the charge for tickets?
Answer:
answer is J because if we lay out the information we will understand it
The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
We're specified that:
x = price of one ticket for adults (in dollars)y = price of one ticket for children (in dollars)Total charge for 3 adults and 4 children = $235Total charge for 4 adults and 5 children = $305Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= [tex]x + x + x + y + y + y + y = 3x + 4y = 235[/tex] (in dollars)
(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Similarly, we get:
Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= [tex]x + x + x + x + y + y + y + y + y = 4x + 5y = 305[/tex] (in dollars)
Thus, we got a system of equations in x and y as:
[tex]3x + 4y= 235\\4x + 5y = 305[/tex] (Option J)
Learn more about forming equations here:
https://brainly.com/question/11938672
PLS HELP ME WITH THIS ITS LIKE DUE IN A FEW HOURS
“you’re friend finds the area of the triangle”
(image above)
“is you’re friend correct”,
EXPLAIN YOU’RE REASON!!!
PLEASE
Answer:
yes
Step-by-step explanation:
Area is 1.2 base * height
the base is 10 and the height is 12
120/2= 60
8. What is the surface area of a square pyramid that has a base of 5 cm and
triangle heights of 8 cm.*
Answer:
105cm squared
Step-by-step explanation:
I put my answer here before, but somehow it got deleted, so I'm typing it again.
A square-based pyramid is made up of one square and four triangles.
We know that one side of the square is 5cm. And since all four sides of the square are the same, we know that the base is 5 x 5.
5 x 5 = 25
Therefore, the area of the base is 25cm squared.
Now, we need to find the area of one triangle. To find the area of a triangle, we multiply the base by the height, then halve it. We know that base of the triangle is 5cm as it shares a side with the square. We also know that the height of the triangle is 8cm.
5 x 8 = 40
40 / 2 = 20
Therefore, the area of one triangle is 20cm squared.
But wait! There are 4 triangles, not just one. Which means we have to multiply the area of one triangle by 4.
4 x 20 = 80
Add everything together:
25 + 80 = 105
Therefore, the total surface area of the square-based pyramid is 105cm squared.
Find x. Round to the nearest tenth. Please help with my geometry!! I will have a couple more posted after this also :(
9514 1404 393
Answer:
x = 4.9 cm
Step-by-step explanation:
The product of segment lengths is the same for each chord:
(7 cm)(7 cm) = x(10 cm)
x = (49 cm^2)/(10 cm)
x = 4.9 cm
What is the value of 3AB when a equals five and B equals six
3AB = 90
comment for explanation
Answer:
90
Step-by-step explanation:
3AB = 3 (5)(6)
3AB = 3 x 30
3AB = 90
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answer:
Step-by-step explanation:
The Pythagorean theorem says:
[tex]a^2+b^2=c^2[/tex]
where a and b are the two legs of the triangle and c is the hypotenuse. Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:
[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]
So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.
which of the following is equivalent to 19L
Answer:
There are no options to pick
Answer:
19 L= 19000 mL
hope this helps
have a good day :)
Step-by-step explanation:
Juan has 2 1/4 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 1/4 yard long. How many bows can Juan make?
Answer:
9 bows
Step-by-step explanation:
Take the amount of ribbon and divide by the amount needed per bow
2 1/4 ÷ 1/4
Change the mixed number to an improper fraction
(2*4 +1)/4 ÷1/4
9/4 ÷1/4
Copy dot flip
9/4 * 4/1
9
9 bows
Burger town sells cheeseburger for $7.95 each plus an additional $1.00 for each topping, Which of the following equations vest represents the cost, c , of a cheeseburger?
Answer:
No equations given but the answer is c=1x+7.96
Step-by-step explanation:
Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please
Answer:
27
Step-by-step explanation:
5/8
6 ft
9 ft
Find the area of the shape
Answer:
33.75 or rounded to the nearest tenth: 33.8
Pls help me fast i need ittttt
Step-by-step explanation:
where is the question?????
Fill in the missing parts. Then determine which bowl contains more sodium.
Soup A
Sodium(mg) 720
Ounces 6 1
Soup B
Sodium(mg) 600
Ounces 4 1
Which bowl contains more sodium per ounce? ( A or B)
Answer:
Soup B
Step-by-step explanation:
Given :
Soup A:
Sodium(mg) 720
Ounces 6 1
Soup B :
Sodium(mg) 600
Ounces 4 1
To Obtian the amount of sodium per ounce in each of soup A and B
Soup A :
Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce
Soup B:
Sodium per ounce = 600 mg / 41 = 14.634mg / ounce
Hence. SOUP B contains more soudiun per ounce
Choose all that are true. A square is a
In rectangle ABCD,If EC=13 find BD
Answer:
[tex]BD = 26\\[/tex]
Step-by-step explanation:
Given
[tex]EC = 13[/tex]
Required
Find [tex]BD[/tex]
In the given rectangle.
AC and BD are the diagonals.
This implies that:
[tex]AC = BD[/tex]
AC is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
So:
[tex]AC = EC + EC[/tex]
[tex]AC = 13+13[/tex]
[tex]AC = 26[/tex]
Recall that: [tex]AC = BD[/tex]
[tex]BD = 26\\[/tex]
Buteyko method, scope of inference. Exercise introduces a study on using the Buteyko shallow breathing technique to reduce asthma symptoms and improve quality of life. As part of this study 600 asthma patients aged 18-69 who relied on medication for asthma treatment were recruited and randomly assigned to two groups: one practiced the Buteyko method and the other did not. Those in the Buteyko group experienced, on average, a significant reduction in asthma symptoms and an improvement in quality of life.
(a) Identify the population of interest and the sample in this study.
(b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
If the students in this sample can be considered representative of the population of interest, then the results___, _____generalizable. Additionally, since the study is____, _____the findingss____, _____be used to establish causal relationships.
WAY to much to read,thanks for the points and have a good day
Brainliest for correct answer asap
Answer:
D
Step-by-step explanation:
50 POINTS - PLEASE HELP!!!
A supermarket display consists of boxes of cereal. The bottom row has 40 boxes. Each row has three fewer boxes than the row below it. The display has seven rows.
a. Write and use a function to determine how many boxes are in the top row (show your work)
b. Use the appropriate formula to determine the number of boxes in the entire display (show your work)
I think I have the 1st part down:
40+(7-1)x-3
40+(6)x-3
23+(-18)
=5 Number of boxes on the Top Row
Answer: x = 7
Part A: y = (x)3- + 40
22 = 7 x 3- + 40
22 = 21- + 40
40 - 21 = 22
Part A= 22
Part B: x - 3(7) = 7(y) + x
40 + 37 + 34 + 31 + 28 + 25 + 22
Part B: 217
Step-by-step explanation:
Have a nice day.
Rick kept track of wins and losses for each game attempt in the following table.
Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175
Select the correct statement.
A.
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
B.
Only the results from game B align closely with the theoretical probability of winning that game.
C.
Only the results from game A align closely with the theoretical probability of winning that game.
D.
The results from both game B and game C align closely with the theoretical probability of winning those games, while the results from game A do not.
Answer:
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
Step-by-step explanation:
Given the data:
Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175
EXPERIMENTAL PROBABILITY:
Game A :
Number of games played = 26 + 173 = 199
Experimental probability :
Probability of winning = number of wins / number of games played = 26 / 199 = 0.1306
Theoretical probability :
1 / 8 = 0.125
Game B :
Number of games played = 54 + 141 = 195
Experimental Probability of winning = number of wins / number of games played = 54 / 195 = 0.2769
Theoretical probability = 1 / 7 = 0.1429
Game C :
Number of games played = 17 + 175 = 192
Experimental Probability of winning = number of wins / number of games played = 17 / 192 = 0.0885
Theoretical probability = 1 / 12 = 0.08333
From the results, we can see that the results from both game A and game C align closely with the theoretical probability of winning those games.
Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts. What fraction of lemon tarts did bob eat?
Answer:
One third or 1/3
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<YXZ and <TUS
Step-by-step explanation:
An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.
Therefore, the only pair of angles from the given options that flare alternate exterior angles are:
<YXZ and <TUS
How many six letter passwords can be made using the letters a through Z if repetition of letters is allowed
Answer:
308915776 six-letter passwords are possible with repetitions
Step-by-step explanation:
Since repetition is allowed, this means there are 26 possible choices for the first letter of the password, 26 possible choices for the second letter of the password, and so on until the sixth letter.
This can be represented as 26^6=308915776
With repetition 26⁶ passwords can be formed using the letters A to Z taken six at a time.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, The six letter passwords are formed using the letters A through Z
with repetition is Nⁿ, Where N is the total number of letters and n is is the number of letters taken at a time.
Therefore it would be,
= 26⁶ passwords.
learn more about permutation and combination here :
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She starts at 37.
She makes a 10 by jumping 3 to 40.
Then she jumps 4 more to 44
Which equation did Kayleigh solve?
A. 37 - 7 = 30
B. 37 + 7 = 44
C. 37 + 3 = 40
D. 37 + 4 = 41
Answer:
B. 37 + 7 = 44
Step-by-step explanation:
If she jumps 4 more after jumping 3 to 40, means it's 4 + 3 = 7 and it reaches 44.
Amy purchase n notebooks. They were 4 dollars each. Write an equation to represent the total cost C that Amy made.
The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217
Solution :
Let [tex]$x_i$[/tex] represents the prices for the digital camera.
[tex]$x_i$[/tex] [tex]$x_i^2$[/tex]
225 50625
236 55696
217 47089
202 40804
231 53361
185 35225
193 37249
185 34225
217 47089
[tex]$\sum x_i = 2136$[/tex] [tex]$\sum x_i^2 = 460388$[/tex]
Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]
[tex]$=\frac{2136}{10}$[/tex]
= 213.6
Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]
[tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]
= 46038.8 - 45624.96
= 413.84
Therefore, standard deviation,
[tex]$\sigma = \sqrt{Var}$[/tex]
[tex]$=\sqrt{413.84}$[/tex]
= 20.343
Now to find the 93% confidence interval, the formula us
[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
For 93%, the value of z is 1.81
∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]
[tex]$=213.6 \pm 11.6438$[/tex]
Therefore, lower bound = 213.6 - 11.6438
= 201.9562
Upper bound = 213.6 + 11.6438
= 225.2438
∴ [tex]$201.9562 < \mu < 225.2438$[/tex]
or [tex]$202< \mu < 225.2$[/tex]
The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser?
We can use the formula: is/of = %/100.
% = 60
of = 160
[tex]\frac{x}{160}=\frac{60}{100}[/tex]
100x = 9600
x = 96
96 students participated in the fundraiser.
Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?
Answer:
b = 3.5 cm
Step-by-step explanation:
Given that,
The area of a rectangle, A = 14. sq cm
The length of one side, l = 4 cm
We need to find the length of another side. The formula for the area of a rectangle is given by :
A = lb
So,
[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]
So, the length of the other side is equal to 3.5 cm.