Answer:
Granny is correct
Step-by-step explanation:
Hope it helps
How do you use a trend line to make a prediction
Answer:
Use the trend line to predict the number of Umbrellas sold in a month, if there were 10 rainy days. Draw the vertical line from 10 on the horizontal axis to the trend line. Then, draw horizontal line to the vertical axis from the trend line as shown below. Number of Umbrellas sold in the month is about 9, if there were 10 rainy days.
164449 avatar
I searched your answer and this came up, I'd answer but it wont let me sadly, but hopefully this will help??
Step-by-step explanation:
Consider the equation as shown:
(x-a)(y-b) = (x-2a)(y- b/2)
x(x + 1/2b) + y(y + a/2) -2xy = 5+(x-y)²
On comparing the coefficient, a student says these pairs of equations is consistent. Is he/she correct? Which of these explains why?
(a) Yes; because they are parallel lines.
(b) No; because they are interesting lines.
(c) Yes; because they are parallel lines.
(d) No; because they are interesting lines.
[tex]\large\underline{\sf{Solution-}}[/tex]
First equation is
[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]
can be further simplified to
[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]
[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]
[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]
[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]
[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]
[tex]\rm \longmapsto\:bx = 2ay[/tex]
[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]
Second equation is
[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]
[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]
[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]
[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]
So, we have two equations in simplest form as
[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]
and
[tex]\rm \longmapsto\:x + aby = 10b[/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]
[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]
[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]
This implies, System of equations is consistent having unique solution.
So, The student is correct as lines are intersecting.
So, option (b) is correct.
Show all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of negative 16 end quantity
Answer: 50
Step-by-step explanation:
[6+√-64] × 3-√-16
(6+8i)(3-4i)
6(3-4i)+8i(3-4i)
18-24i+24i+32
18+32=50
the answer is 50Answer:
fifty
Step-by-step explanation:
fifty
g An employee joined a company in 2017 with a starting salary of $50,000. Every year, the employee receives a raise of $1,000 plus 5% of the salary of the previous year. (a). Set up a recurrence relation for the salary of the emplyee n years after 2017. A recurrence relation of a sequence is an equation that express a subscript n using one or more of previous terms. (b). What will be the salary of the employee in 2025
Answer:
a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000
b) $83,421.88
c) s[n] = 70000·1.05^n -20000
Step-by-step explanation:
a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...
s[0] = 50000 . . . . the recursion relation initial condition
The next year, the salary is multiplied by 1.05 and 1000 is added:
s[1] = 1.05·s[0] +1000
This pattern repeats, so the recursion relation is ...
s[n] = 1.05·s[n-1] +1000
__
c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).
The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...
base salary after n years = 50,000·1.05^n
The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:
sum = a1(r^n -1)/(r -1) . . . . . (see note below)
sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)
So, the total salary after n years is ...
s[n] = 50000·1.05^n + 20000(1.05^n -1)
The exponential terms can be combined, so we have the explicit formula ...
s[n] = 70000·1.05^n -20000
__
b) The year 2025 is 8 years after 2017, so we want to find s[8].
s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000
= 103,421.88 -20000 = 83,421.88
In 2025, the employee's salary will be $83,421.88.
_____
Note on the sum of the add-ons
A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....
The sum of such a geometric sequence has the formula
Sn = a1·(r^n -1)/(r -1)
Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as
Sn = 20000·(1.05^n -1).
pls help me pls, it's due tomorrow!!
Answer:
110º
Step-by-step explanation:
a triangle has 180º total
so 180-35-35
110
the missing angle in the traingle on top is congruent to angle b
solve pls brainliest
Divide 47 by 14:
Answer 3.357
Rounded to nearest hundredth: 3.36
Find all triples of natural numbers (a, b, c) satisfying the system of equations
9514 1404 393
Answer:
(±7, ±1, ±4)(±13, ±11, ±16)Step-by-step explanation:
Solution of the system by the usual means yields the parametric equations ...
(a², b², c²) = (41 +t, t -7, 2t)
Since we want t-7 to be a perfect square, we can let ...
t -7 = n²
t = n² +7
Then the solutions are ...
(a, b, c) = (±√(n²+48), n, ±√(2(n² +7)))
The only integer solutions are for n=±1 and n=±11. Then the 16 possible triples are ...
(±7, ±1, ±4) and (±13, ±11, ±16) . . . where the signs can have any combination
find reason and statements
Answer:
Missing reason/statements:
R1, R2, R3 - GivenS4. ∠1 ≅ ∠3R4. Transitive propertyR5. Definition of congruenceS6. m∠1 = 120°R6. SubstitutionA cake recipe calls for 2 1/2 cups of flour. If Mrs. Hizon will prepare for 4 2/3 servings of the recipe, how much flour will she need?
let x be the flour
now
or,(21/2)+x=42/3
or,(21+2x)/2=42/3
or, 3(21+2x)=42×2
or, 63+6x=84
or,6x=84-63
or, 6x =21
or, x=21/6
thus she need 21/6 cups of flour
Which equation matches the graph?
Answer:
Option C): f(x) = 3x - 4.
Step-by-step Explanation:
What is a Linear Function in Slope-intercept Form?A linear function in slope-intercept form is given by f(x) = mx + b where:
"m" represents the slope, which is the measure of steepness and orientation of a nonvertical line. "b" represents the y-coordinate of the y-intercept, (0, b). The y-intercept is the point on the graph where the line intersects the y-axis. It is also the point where the x-coordinate equals to zero.How to solve for the slope?We can solve for the slope by using the following formula:
[tex]\displaystyle\mathsf{Slope\:(m)\:=\:\frac{Rise}{Run}\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)}[/tex]
Choose two points from the graph and substitute their values into the slope formula.
(x₁, y₁) = (2, 2)(x₂, y₂) = (0,-4)[tex]\displaystyle\mathsf{Slope\:(m)\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)\:=\:\Bigg(\frac{2-(-4)}{2-0}\Bigg)\:=\:\Bigg(\frac{2+4}{2}\Bigg)\:=\:\frac{6}{2}\:\:=\:3}[/tex]
Therefore, the slope of the line is 3.
How to find the y-intercept (b)?As defined in the previous section of this post, the y-intercept (0, b) is the point on the graph where it crosses the y-axis. We can see that the line intersects the y-axis at point (0, -4). This means that the value of our y-intercept, b, is -4.
Finding the y-intercept algebraically.Alternatively, we can solve for the y-intercept (b) by choosing a point on the graph and substitute its values into the slope-intercept form.
We will use and substitute the values of (x₁, y₁) and the slope into the function to solve for b.
(x₁, y₁) = (2, 2)Slope (m ) = 3f(x) = mx + b
⇒ 2 = 3(2) + b
⇒ 2 = 6 + b
⇒ 2 - 6 = 6 - 6 + b
⇒ -4 = 0 + b
⇒ - 4 = b
Hence, the value of the y-intercept is: b = 4.
Final Answer:Based from our calculations, we can infer that the linear function that matches the graph is Option C: f(x) = 3x - 4.
__________________________Keywords:Linear functions
Linear equations
Slope-intercept form
_______________________________
Learn more about Linear Functions here: https://brainly.com/question/26351470
Learn more about Point-slope form here: https://brainly.com/question/26681302
Answer:
f(x)=3x-4
Step-by-step explanation:
Bobby is in an office manager at a weekly newspaper. He earns $22.50 per hour. How many hours per week does Bobby work if he earns $522 per week? Show Work please.
Divide total pay by hourly rate:
522 / 22.50 = 23.2 hours
Answer: 23.2 hours
1/4×10/12 simplest form
Answer:
10/48 - 2/24 - 1/12
Step-by-step explanation:
answer is 1/12
Complete the table of values for y=x2-x-5.
Answer:
when -2 , y = 1
when 0, y = -5
when 2, y = -3
when 3, y = 1
when 4, y = 7
Hhhhhhhhhhhhhhhhjjjjjj
Answer:
8.75 per hour
Step-by-step explanation:
Since it is a linear function we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 370-20)/(40-0)
=350/40
= 8.75
Find the slope of the line passing through the points (-7.6) and (-7.-2).
Answer:
Undefined
Step-by-step explanation:
the equation for slope is y2-y1/x2-x1
(-2-6)/(-7-(7))= -8/0
This would leave you with an undefined slope.
Trong 300 người bệnh chỉ dùng thuốc A có 55% người khỏi; trong 240 người bệnh chỉ dùng thuốc B có 50% người khỏi. Với mức ý nghĩa 5% có thể nói thuốc A hiệu quả hơn thuốc B không?
vâng vì phụ nữ là những người tán gẫu
Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2 × (6 + 9) = (2 × 6) + 9
B. 2 × (6 + 9) = (2 × 6) + (2 × 9)
C. 2 × (6 + 9) = (2 + 6) × (2 + 9)
The answer is B It basically just expressing the 2×(6+9)
The expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example we can write a(c+b) in the form of (ac+bc).
We have an expression:
= 2 × (6 + 9)
After applying the distributive property:
= (2 × 6) + (2 × 9)
= (12) + (18)
= 30
Thus, the expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.
Learn more about the distributive property here:
brainly.com/question/5637942
#SPJ2
How many 10-bit strings have weight 1?
How many 10-bit strings have weight 5?
How many 10-bit strings have weight 9?
Answer:
ok so it will be 16-bit
Step-by-step explanation:
What is the first whole number greater than 11?
Answer:
4
Step-by-step explanation:
The √11 is ≈ 3.3166....
So the first whole number GREATER than 3.3166 is 4
-Chetan K
Answer:
√11 = 3.3166
The first whole number greater than 3.3166 is 4
Hope This Helps!
What do you add to 3 7/8 to make 5
Step-by-step explanation:
we will add 3+37=40
40/8=5
mark me brainlist plz
Answer:
You have to add a certain amount of a number to 3 7/8 to make five. Or the easy way, 5 - 3 7/8 = 1 1/8
Step-by-step explanation:
If you want can you make me brainlyist?
Also, I hope this helped!
Someone help me plzz-
Answer:
ㅛ해 주는 것이 좋다 나쁘다 라고 말하는 것은 아니다 싶으면 이 때 가장 중요한 역할을 하는 것 같다 ㅛ요톸 매매 ㅑ져뎌 재료 본연의 맛과 향을 느낄 수도 있다 보니
Hurry!!!
At Smith’s bike rentals it cost $17 to rent a bike for three hours how many hours of bike does a customer get per dollar??
Answer:
3/17 hours per dollarStep-by-step explanation:
Use the ratio below:
$17 → 3 hours$1 → xSolve for x:
17x = 3x = 3/17Step-by-step explanation:
[tex]\sf\longmapsto \: \$ 17 = 3 \: hours[/tex]
[tex]\sf\longmapsto \: \$ 1 = x[/tex]
Now, Solve x–
[tex]\sf\longmapsto17x = 3[/tex]
[tex]\sf\longmapsto \: x = \frac{3}{17} \: hours \: per \: dollar[/tex]
Therefore,for 3/17 hours of bike a customer get per dollar.
solve pls brainliest
Answer:
28.5
Step-by-step explanation:
1/2 is 0.5 as a decimal.
That would mean that 28 1/2 is the same as 28.5.
Hope this helps! Brainliest would be really appreciated!
help and i ill give brainliest
Answer:
11
Step-by-step explanation:
f(16) = 7 + 16/4
= 7 + 4
= 11
Angles 4 & 8 are an example of which type of angle? *
O Alternate Exterior
O Alternate Interior
O Corresponding
O Vertical
Answer:
Corresponding
Step-by-step explanation:
They are on the same side which makes them corresponding angles
(5x+5)-2x
No scam.....
Answer:
=3x+5
Step-by-step explanation:
Let's simplify step-by-step.
5x+5−2x
=5x+5+−2x
Combine Like Terms:
=5x+5+−2x
=(5x+−2x)+(5)
=3x+5
Answer:
=3x+5
Answer:
[tex]\boxed{\boxed{\sf 3x+5 }}[/tex]
Step-by-step explanation:
[tex]\sf (5x+5)-2x[/tex]
[tex]\sf \left(a\right)=a[/tex]
⇒ First step is to get rid of expression parentheses:
[tex]\longmapsto[/tex] [tex]\sf 5x+5-2x[/tex]
⇒ Now, we need to combine like terms:
[tex]\longmapsto[/tex] [tex]\sf (5x-2x)[/tex] [tex](5)[/tex]
[tex]\longmapsto[/tex] [tex]\sf 3x+5[/tex]
__________________________________
without using a calculator or mathematical table sove 187²-87²
5
6
✓
Question 19 (5 points)
Simplify by using long division:
x+2x-6
8
9
x-2
.
A) x + 4 - 22
4
x-
11
12
>
B) x +4 +
14
15
C) x + 2 +
17
18
D) x + 2 -
2-42
✓
20
Question 20 (5 points)
Answer:
1. 2/5
2. 3/20
3. 6 1/9
4. 1/5
5. 11
6. 1
7. 3/13
8. 1 5/11
9. 2
10. 6 1/2
11. 20/27
12. 2 3/16
13. 4 13/18
14. 1 45/98
Hope this helps!
Step-by-step explanation:
Can somone help please and thank you<3
Answer:
She pays 11.40 for the roast
Find unit rate then multiply
PLS PLS PLS HELP ME ILL GIVE 20 points.
Answer:
if you want to know the x is.
Step-by-step explanation:
(180°-4x)+(180°-6x)+2x=180°
x=22.5°