Answer:
[tex]\displaystyle y-9=\frac{1}{2}(x-8)\text{ or } y-4=\frac{1}{2}(x+2)[/tex]
Step-by-step explanation:
Point-slope form is given by:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
Where (x₁, y₁) is a point and m is the slope.
So, first, we will find the slope using the two points (8, 9) and (-2, 4). We can use the slope formula:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{4-9}{-2-8}=\frac{-5}{-10}=\frac{1}{2}[/tex]
Next, pick either of the two points and substitute it into the point-slope formula. Using (8, 9), we acquire:
[tex]\displaystyle y-9=\frac{1}{2}\left(x-8\right)[/tex]
And using (-2, 4), we acquire:
[tex]\displaystyle y-4=\frac{1}{2}\left(x -(-2)\right)\Rightarrow y-4=\frac{1}{2}\left(x+2\right)[/tex]
Both of these are valid answers.
Answer:
y-9=1/2(x-8)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-9)/(-2-8)
m=-5/-10
m=1/2
y-y1=m(x-x1)
y-9=1/2(x-8)
A store ordered 650 candles at a total wholesale cost of $6,789.30. The soy candles cost $12.02 each and the specialty candles cost $9.12 each how many of each type of candle were ordered
Answer: 297 and 353
Step-by-step explanation:
Given
A store ordered 650 candles at a total cost of $6,789.30
The soy candles cost $12.02 each and the specialty candles cost $9.12
Suppose there x soy candles and y specialty candles
[tex]\therefore x+y=650\quad \ldost(i)\\12.02x+9.12y=6789.30\quad \ldots(ii)\\\text{Solve (i) and (ii)}[/tex]
[tex]x=297,y=353[/tex]
Store ordered 297 soy candles and 353 specialty candles.
Jim HOMEWORK Algebra June 3rd
Answers:
b) Two way tableb) Categorical variabled) Relative Frequency Tablec) Associationb) The max noise level is 1.5 dB per thousand people===================================
Explanation:
As the name suggests, we have 2 dimensions to the table. Along the left is one variable, and the top is another variable. This helps us lay out all the possible outcomes in a visual organized way. There's not much to talk about here. The name pretty much speaks for itself. Each category is basically like a separate bin or name.Frequency refers to the count of something (eg: 30 people have a hat) while relative frequency is how that count is in relation to the total (eg: 10% of the group has a hat). Relative frequencies can be expressed as fractions, decimal form, or percentage form. It will depend on what your teacher wants.We consider the variables to be dependent if they are linked somehow. For example, if it rains, then its fairly likely the number of accidents on the road increases. The variables "it rains" and "number of accidents" are dependent and associate with each other.The value 1.5 is the slope of the regression line. Note how the line is in the form y = mx+b with m = 1.5; the slope tells us the rate of change. Each time x goes up by 1, the predicted y value goes up by 1.5 decibels. In this context, it means that each time you add 1000 people, the predicted/estimated max noise level will increase by 1.5 dB. For context, a whisper is at about 30 dB, regular talking is about 50 dB, while a jet engine is about 140 dB.helppp me, it’s my retake
find the cost of tiling a rectangular floor 10m by 14m if square tiles with side 1m are used. The price of a tile is $5.20
Answer:
$728.00
Step-by-step explanation:
10m*14m=140m
140*$5.20=$728.00
Is r = 10 a solution to the inequality below?
10 ≥
r
Yes or no
Answer:
Yes.
Step-by-step explanation:
That sign means greater than and/or equal to (the little line) since 10 is equal to 10, then r can be 10
Can someone help me with this one?
Answer:
B. 2x - 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 1
g(x) = x + 2
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute in functions: (f - g)(x) = 3x - 1 - (x + 2)[Distributive Property] Distribute negative: (f - g)(x) = 3x - 1 - x - 2[Subtraction] Combine like terms (x): (f - g)(x) = 2x - 1 - 2[Subtraction] Combine like terms: (f - g)(x) = 2x - 3PLEASE PLEASE HELP!!!!!!!!
9514 1404 393
Answer:
326.6 square inches3402 square feetStep-by-step explanation:
The net will be a rectangle representing the lateral area. Its length will be 2π(4 in), the circumference of the box, and its height will be 9 in, the height of the box. On either side of that rectangle will be an 8-in diameter circle representing the ends of the box.
The total surface area is given by the formula ...
SA = 2πr(r +h)
For one box, the area is ...
SA = 2(3.14)(4 in)(4 in +9 in) ≈ 326.6 in² . . . . area of one box
__
There are 144 square inches in a square foot, so the area required for 1500 boxes is ...
(1500)(326.56 in²)/(144 in²/ft²) ≈ 3402 ft² . . . area of 1500 boxes
64,-48, 36, -27
Which formula can be used to describe the
Sequence?
O f(x + 1) = 3/4f(x)
o f(x + 1) = -3/4f(x)
O f(x) = f(x + 1)
O f(x) = -f(x + 1)
Mark this and retum
Save and Exit
Next
Submit
Answer:
Step-by-step explanation:
The first term of the given sequence is a(1) = 64. Each succeeding term is found by multiplying the present one by (-3/4), and so (-3/4) is the common ratio. Then the geometric sequence represented here is
a(n) = a(1)*(-3/4)^(n - 1), or, specifically,
a(n) = 64*(-3/4)^(n - 1)
Alternatively: a(n) = a(n - 1)*(-3/4). or a(n) = (-3/4)a(n - 1)
The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it. Therefore, the correct option is A.
What is Sequence?A list of numbers or objects that follow a certain pattern or rule is referred to in mathematics as a sequence. Unless otherwise stated, a sequence consists of an infinite number of terms, which are the individual items that make up the sequence.
Many mathematical disciplines, such as calculus, number theory, and statistics, make use of sequences. Mathematical, geometric and Fibonacci sequences are some examples of sequences. The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it.
Therefore, the correct option is A.
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Help Please Pythagorean Theorem
Answer:
1. x = 15
2. x = 26
3. x = 7.6157731059 (you can round this answer to 8 or 7.6)
4. x = 11.7
5. x = 25
6. x = 1.4
7. x = 22.5
8. x = 38.4
9. x = 10.3 v = 5.8
For some of them, I had to use estimation.
I used this formula : a^2 + b^2 = c^2
To move toward a personal vision, what smaller steps should you take?
A.
Set smaller, more specific goals.
B.
Participate in many internships.
C.
Change your lifestyle.
D.
Switch your personal vision frequently.
Please select the best answer from the choices provided
A
B
C
D
Explanation:
Setting smaller realistic goals you can achieve will help build momentum on achieving the bigger goals. Think of it like building a house. You can't simply build a house in a single day, week, or even month. It takes a while to lay the foundation, build the frame, etc. Just take it one step at a time and do so at a realistic pace. At the same time, make sure you don't take too small a step or it might seem too nitpicky, and it might take longer than you thought. In short, this is why choice A is the answer.
Choice B is false because you should probably only focus on one internship so you're 100% focused on that only. I suppose you could have perhaps 2 or 3 of them, but it could get tricky to juggle them all. The more tasks you take on, the more stress will come with it and the less time you'll have per job (not to mention less time for everything else). Be honest with yourself as to what you can handle. Personally, I think that one internship should be enough. Ideally it's paid but unfortunately there are unpaid internships that are out there. Go with the best option that will help your career path.
Choice C is false. You don't need to change your lifestyle unless you have bad habits that may be detrimental to your career. If you do need a lifestyle change, then it's probably best to do changes in small steps as the first paragraph mentions.
Choice D is false. You should have a set goal on what you want and stick to it. Yes you can change your mind if you pick something that doesn't make you happy. But you shouldn't change your mind frequently and often, as it would waste time and energy. So this is why planning it out is a good idea.
The best alternatives of the given ones to move toward a personal vision is by setting smaller and more specific goals and changing your lifestyle.
What are Human goals?The comprehensive human goals include -
right understandingprosperityfearlessness co-existenceGiven is to move towards a personal vision and the steps taken to achieve them.
In order to move towards a personal vision, the most important steps of the given ones is by setting smaller and more specific goals. This is because the smaller and specific goals are easier to achieve in the beginning. Other than this, an option about changing your lifestyle will be a lot helpful in achieving the smaller and specific goals.
Therefore, the best alternatives of the given ones to move toward a personal vision is by setting smaller and more specific goals and changing your lifestyle.
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I DONT UNDERSTAND MATH
Answer:
P = A - 0.2P
Step-by-step explanation:
A = P + Prt
Where,
A = Total amount in an account earning simple interest
P = principal
r = rate
t = time
A = P + Prt
In terms of Payment
P = A - Prt
Holly:
r = 4% = 0.04
t = 5 years
P = A - Prt
= A - (P * 0.04 * 5)
= A - 0.2P
P = A - 0.2P
What is the length of AC?
Geometry, see attachment.
Answer:
D.144
Step-by-step explanation:
[tex]\frac{7}{x} = \frac{84}{156-x}[/tex]
⇔ 84x = -7x + 1092
⇔ 91x = 1092
⇔ x = 12
⇒ AC = 156 - x = 156 - 12 = 144
Which of the following questions is a statistical question?
what are the answers, you didn't put a following
Answer:
How many hours do you spend at the pharmacy each month?
Step-by-step explanation:
GOt it right on test
(—225) = [(—40) - (—8)]
Answer:
okay I don't have to work at rito pag nasagutan the gathered from the story is about
Put these numbers in order from greatest to least.
0.24,0.57,0.87, and 3/5
Answer:
These are the numbers in order from greatest to least.
0.24, 0.57, 3/5, and 0.87
Step-by-step explanation:
Hope this is helpful.
52.38
B
Which trigonometric ratios are correct for triangle
ABC? Select three options.
30
sin(C) =
3
✓
18
60
cos(B) = ?
С
tan(C) = V3
sin(B) = ?
D tan(B) = 2/3
Next
Subm
Mark this and retum
Answer:
[tex] \sin(c) \: = \frac{ \sqrt{3} }{2} [/tex]
[tex] \tan(c) = \sqrt{3} [/tex]
[tex] \sin(b) = \frac{1}{2} [/tex]
The ratios that are correct for the triangle are as follows:
sin B = 1 / 2sin C = √3 / 2tan C = √3Trigonometric ratios
The simplest trigonometric ratios are as follows:
sin ∅ = opposite / hypotenusecos ∅ = adjacent / hypotenusetan ∅ = opposite / adjacentAB = √18² - 9²
AB = √324 - 81
AB= √243
AB = 9√3
Therefore, the trigonometric ratio that are correct for the triangle are as follows;
sin B = 9 / 18 = 1 / 2sin C = 9√3 / 18 = √3 / 2 tan C = 9√3 / 9 = √3learn more on trigonometric ratios here: https://brainly.com/question/6459892?referrer=searchResults
(50 points) Which graph is defined by the function given below?
y = (x - 3)(x - 3)
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
Graph B
Step-by-step explanation:
y = (x - 3)(x - 3)
The x intercepts are at 3
Since both intercepts are at 3, the vertex is at 3
We know it is an upwards facing parabola since it is quadratic and the constant out front is positive
For a science project, Joseph launches a model rocket. The function "h(s)=-3s^2+6s+45 represents the height in feet of the rocket after s seconds. It will take the rocket ___ second(s) to reach its maximum height. A - 1 B - 3 C - 5 D - 45 E - 48
Answer:
t = 1 s to reach its maximum height.
Step-by-step explanation:
The function that represents the height of the rocket after s seconds is given by :
[tex]h(s)=-3s^2+6s+45[/tex] ...(1)
For maximum height,
[tex]h'(s)=0\\\\-6s+6=0\\\\s=1[/tex]
It is the time the rocket will take. So, the ball will take 1 second to reach its maximum height.
Please Read the Attachment below
Answer:
Step-by-step explanation:
[tex]\frac{a -30y}{a^2 -100y^2} - \frac{10y}{10ay -a^2}[/tex]
[tex]=\frac{a-30y}{a^2 -(10y)^2} - \frac{10y}{-a(a -10y)}\\\\=\frac{a-30y}{(a -10y)(a+10y)} + \frac{10y}{a(a -10y)}\\\\=\frac{a(a-30y) +10y(a+10y)}{a(a -10y)(a+10y)} \\\\=\frac{a^2 - 30ay +10ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{a^2 - 20ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)}{a(a+10y)}[/tex]
A
8
B
7
D
С
CD = [?]
Enter the number that belongs in
the green box
Enter
Answer:
the number that belongs in the green box is 8
What is the volume of this rectangular prism?
10/3
4/5
1/5
Answer:
.53
Step-by-step explanation:
Answer:
I think it will be the answer 10/3
I hope it help you
Please help with this question:
Which number represents the probability of an event that is likely to occur?
A. 0.16
B. 0.03
C. 1.5
D. 0.79
Answer:
D. 0.79
Step-by-step explanation:
The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.
so, the answer is D. 0.79
Answer:
As for the others, probability 0 means that the even't cannot happen, whereas probability 1 means that event is certain. So, the bigger the number, the greater the probability. the greatest number represents the event that is more likely to occur between0 ≤ P(E) ≤ 1.
Given
1.5>0.79>0.16>0.03
So
0.79 is a required answer.
Given the triangle below, what is RS?
The measure of RS to the nearest hundredth is 23.09 m
SOH CAH TOA identityFrom the given figure, we have the following parameters
Adjacent to <R = RS
hypotenuse = 20cm
Using the theorem;
cos theta = opp/hyp
cos<R = RS/20
cos 30 = RS/20
RS = 20/cos30
RS =23.094 m
Hence the measure of RS to the nearest hundredth is 23.09 m
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A box containing 11 2/5 lbs of goldfish crackers was delivered to the kindhearted classes to be split evenly among 3 teachers. Mrs.Z received another carton with 1.2 lbs crackers from a parent. How many pounds of goldfish crackers does Mrs.Z have?
Answer: 5
Step-by-step explanation:
11 2/5 Divided by 3 is 19/5 (as a fraction) or 3.8
add 3.8 to 1.2.
Hope I could help.
Which ratio is equivalent to the ratio 32:40?
A 16 to 20
B 30:16
C 16 to 30
D 20:16
Answer:
A, 16 to 20
Step-by-step explanation:
32 / 2 = 16
40 / 2 = 20
Which of the following best describes the graph of the polynomial function
below
O A. The graph has one zero.
B. The graph has two zeros.
O C. The graph has infinitely many zeros.
D. The graph has no zeros.
Answer:
A
Step-by-step explanation:
A zero in a polynomial function is what the variable is equal to to make the function equal to 0. In the graph, there is only one point that is on the x, 0. Meaning there is only one zero.
While riding her bike to the ocean and back home 5 times, Kimberly timed herself at 53min, 48min, 56min, 54min, and 45min. She had set a goal of averaging 53 minutes for her rides. How many minutes will she need to spend on her sixth ride to attain her goal?
Answer:
Kim will need to spend 67 minutes on her sixth ride
Step-by-step explanation:
Represent the number of minutes of her sixth ride by m.
Then the average number of minutes is
53 + 43 + 56 + 54 + 45 + m
---------------------------------------- = 53
6
Multiplying both sides of this equation by 6 yields
6(53 + 43 + 56 + 54 + 45 + m)
--------------------------------------------- = 6(53)
6
which simplifies to
251 + m
---------------- = 318
or 251 + m = 318. Subtract 251 from both sides to obtain the value of m:
m = 318 - 251 = 67
Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of 53 minutes.i
Find the value of x
.
Answer:
x = 9
Step-by-step explanation:
5x + 27 = 45 + 3x
Subtract 3x from both sides
2x + 27 = 45
Subtract 27 from both sides
2x = 18
Divie both sides by 2
x = 9
helppppp please ? lol i’m trying to pass summer school
Answer:
B
Step-by-step explanation:
To find the inverse of a function just replace the x and y value
so for f(x) instead of y=√(x-2) it x=√(y-2) --- take this and now solve for y
x=√(y-2)
x²=y-2
x²+2=y
This matches h(x)
Answer: It really is B but I’m confused on your new question I’ll try :(
Step-by-step explanation:
these are the high temperature for one week in july .
sunday 74
monday 75
tuesday 80
wednesday 76
thursday 75
friday 81
saturday 78
whats the mean high temperature for this week
A. 74
B. 75
C. 76
D. 77
E. 78
Answer:
D.77
Step-by-step explanation:
Since the mean is the average first you
Add up all the values
74+75+80+76+75+81+78 = 539
Divide the product by the number of values
539÷7=77