of (3, -2) reflected across the line x = 1 is?
Answer: (-1, -2)
===========================================================
Explanation:
Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.
Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)
In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)
See the diagram below.
Part A
The poll report includes a table titled, “Americans Using Cash Now Versus Five Years Ago, by Age.” The age intervals are not equal. Why do you think the Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?
Answer:
These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly
Step-by-step explanation:
The volume of a Rubik’s cube is 512/216 cubic inches. Find the length of a side of the cube.
Answer:
4/3 inches, or 1.33333 inches
Step-by-step explanation:
In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*
* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same
Please help me find those two boxes guys
Answer:
y=113505(1+0.012)^(x)
y=120481. Answered by Gauthmath
f(x)=square root 2x and g(x)=square root 50x find (f/g)(x)
Answer:
1/5
Step-by-step explanation:
(f/g)(x) = f(x)/g(x) = sqrt(2x)/sqrt(50x) = 1/5
The expression.1*e^0.0347t models.The balance in thousand of dollars where t represents time.In years after the account was opened. What does the 0.034 represent in this context? Write an expression for the number of years after which there will be 15,000 Dollars in the account?
Answer:
0.0347 = constant of proportionality
[tex]1 * e^{0.0347t} = 15000[/tex]
Step-by-step explanation:
Given
[tex]1*e^{0.0347t}[/tex]
Solving (a): what does 0.0347 represent?
An exponential model is represented as:
[tex]f(t) = a * e^{kt}[/tex]
Where:
[tex]k \to[/tex] constant of proportionality
So, by comparison:
[tex]k = 0.0347[/tex]
Hence:
[tex]0.0347 \to[/tex] constant of proportionality
Solving (b): Formula to calculate when balance equals 15000
To do this, we simply equate the formula to 15000.
So, we have:
[tex]1 * e^{0.0347t} = 15000[/tex]
Need help ASAPPPPPPP
Answer:
A) 5
Step-by-step explanation:
51+48+15x+6=180
105+15x=180
15x=75
x=5
Which of the following equations represents a line that is perpendicular to
y = -4x+9 and passes through the point, (4, 5)?
O A. y - 1x+6
OB. y = x +5
O C. y = *x+4
D. Y = -4x+4
Answer:
y = 1/4 x +4
Step-by-step explanation:
y = -4x+9
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
the slope is -4
Lines that are perpendicular have slopes that are negative reciprocals
The slope of the perpendicular line is -1 /(-4) = 1/4
The perpendicular line is
y = 1/4x+b
It goes through (4,5)
5 = 1/4(4) +b
5 = 1+b
b=4
y = 1/4 x +4
Anyone Answer Please
Answer:
shift of 6 units left
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
f(x) = 3 | x + 6 | + 9
Represents a horizontal shift of the parent function 6 units left
A soccer player stands at one corner of a field and kicks a soccer ball 95 yards to the opposite corner. If the field is 76 yards long, what is the width?
= 57 yards.
Step-by-step explanation:
95 yards is the diagonal of the field
76 yards is the length
Find the width.
This set-up will for a right angled triangle with a length of 76 yards and Hypotenuse of 95 yards. Therefore the height will represent the width of our Rectangle.
[tex]{b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {95}^{2} - {76}^{2} \\ {b}^{2} = 9025 - 5776 \\ \sqrt{ {b}^{2} } = \sqrt{3249} \\ b = 57yards[/tex]
find k so that x^2+2x+k is a factor of 2x^4+x^3-14x^2+5x+6. also find all the zeroes of the two polynomial
Compute the quotient and remainder,
[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x+k} \\\\ = 2x^2 - 3x - (8+2k) + \dfrac{(21+7k)x+(6+8k+2k^2)}{x^2+2x+k}[/tex]
The remainder upon dividing [tex]2x^4+x^3-14x^2+5x+6[/tex] by [tex]x^2+2x+k[/tex] should leave no remainder, which means
[tex]21+7k = 0 \implies 21 = -7k \implies k=-3[/tex]
and
[tex]6+8k+2k^2 = 0 \implies 2(k+3)(k+1)=0 \implies k=-3\text{ or }k=-1[/tex]
Only k = -3 makes both remainder terms vanish.
Then the previous result reduces to
[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x-3} = 2x^2 - 3x - 2[/tex]
so that
[tex]2x^4+x^3-14x^2+5x+6 = (x^2+2x-3) (2x^2 - 3x - 2) \\\\ 2x^4+x^3-14x^2+5x+6 = (x+3)(x-1)(2x + 1)(x-2)[/tex]
and so the zeroes of the quartic polynomial are x = -3, x = 1, x = -1/2, and x = 2.
please answer this question!!
Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?
Answer:
$19.68
Step-by-step explanation:
this is not really clearly defined.
I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.
x = what Marcia is paying
and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24
so,
x + x/2 + x/3 = 108.24
6x + 3x + 2x = 649.44
11x = 649.44
x = $59.04
Mario's part is x/3 = 59.04/3 = $19.68
please answer and no links please ....
Step-by-step explanation:
ℎ = -4, -3×(-4)+2 = 12+2 = 14
ℎ = -2, -3×(-2)+2 = 6+2 = 8
ℎ = 0, -3×0+2 = -3+2 = 2
ℎ = 3, -3×3+2 = -9+2 = -7
ℎ = 5, -3×5+2 = -15+2 = -13
I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?
It would have to be 85
Answer:
85
Step-by-step explanation:
(89+92+94+ x)/4>90
(275+x)/4>90
275+x>90
x> 85
What is the area? please help
Answer:
70.875 [tex]km^{2}[/tex]
Step-by-step explanation:
Using the equation of area of trapezium
[tex]\frac{1}{2} * (a+b)h[/tex]
Put the value into the equation
[tex]\frac{1}{2}(4.8+5.7)*13.5[/tex]
Simplify the equation and you will get:
[tex]2.4*13.5=70.875 km^{2}[/tex]
So, the answer is 70.875km^2
Given the center and radius, find equation of the circle
Answer:
[tex]{ \sf{ {(x - 2)}^{2} + {(y + 8)}^{2} = 4}}[/tex]
Answer:
Center is (2, -8) and radius =2
h = 2 and k = -8
Filling in this equation:
(x -h)² + (y -k)² = radius² we get:
(x - 2)^2 + (y--8)^2 = 2^2 which equals
(x-2)^2 + (y +8)^2 = 4
Source: http://www.1728.org/circleqn.htm
Step-by-step explanation:
Evaluate the expression 34 ÷ (14 − 5) × 2.
I'm pretty confused can someone explain it to me? I will give branliest
Answer:
[tex]7\frac{5}{9}[/tex]
Step-by-step explanation:
Hi there!
We are given this expression:
34÷(14-5)×2
And we want to evaluate it
We'll be using the order of operations
Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
The order of operations states that we should start with any expressions in parentheses
In this case, it's (14-5), which is equal to 9
The expression now becomes
34÷9×2
There are no exponents, so let's skip that
Now this is where it gets tricky:
Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication
Divide 34 by 9
[tex]\frac{34}{9}[/tex]×2
Now multiply [tex]\frac{34}{9}[/tex] by 2
[tex]\frac{68}{9}[/tex]
(as a mixed fraction, it's 7[tex]\frac{5}{9}[/tex])
Hope this helps!
Amanda's sewing a flag for a competition. The dimensions of her flag are shown below. Approximately, how many square yards of black material will Amanda need to make the flag?
To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.
Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation.
Assume the shape of the black material is a rectangle.
The area will be calculated as:
[tex]Area = Length * Width[/tex]
Take for instance;
[tex]Length = 4yd;\ Width = 5yd[/tex]
[tex]Area = 4yd * 5yd[/tex]
[tex]Area = 20yd^2[/tex]
Assume the shape of the black material is a square.
The area will be calculated as:
[tex]Area =Length^2[/tex]
Take for instance;
[tex]Length = 4yd[/tex]
[tex]Area = (4yd)^2[/tex]
[tex]Area = 16yd^2[/tex]
Assume the shape of the black material is a triangle
The area will be calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
Take for instance;
[tex]Base = 4yd;\ Height = 5yd[/tex]
[tex]Area = 0.5 * 4yd * 5yd[/tex]
[tex]Area =10yd^2[/tex]
So, in general.
You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.
Read more about areas at:
https://brainly.com/question/24251781
Find the Value of y. 70 60 65 40
Answer:
125
Step-by-step explanation:
360-70-60-65-40
= 125
Answered by GAUTHMATH
Which of the following is the product of the rational expressions shown
below?
Answer:
here's the answer to your question
Which expressions are equivalent to
3(6+b) + 2b+1?
Select 2 answers.
Step 1 - Use the distributive property and pick your first
answer
Step 2 - Combine like terms and pick your second
answer
Step-by-step explanation:
3(6+b)+2b+1
18+3b+2b+1
5b+19
phương trình lượng giác cơ bản
Answer:
Phương trình lượng giác cơ bản: lý thuyết, cách giải, bài tập
Phương trình sin x = sin α, sin x = a.2. Phương trình cos x = cos α, cos x = a.
3. Phương trình tan x = tan α, tan x = a.
4. Phương trình cot x = cot α, cot x = a. ...
5. Phương trình bậc nhất đối với một hàm số lượng giác. ...
6. Một số điều cần chú ý:
(4x-3)(x-5)-2x(2x-11)
Answer:
3(13x-5)
Step-by-step explanation:
first step open your bracket,u have
=4x²+20x-3x-15-4x²+22x then collect like terms
=4x²-4x²+20x-3x+22x-15
=0x²+39x-15
=39x-15
further simplifying u have:
=3(13x-5)
50 points and brainly
Trinas you company charges $0.86 per pound to ship toys. Part A: Write an equation to determine the totals cost, c, to ship p pounds of toys. Use your equation to determine the cost of shipping 2 pounds of toys. Path B: if the company reduces the cost to ship toys by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of toys with the reduced cost.
Answer:
Part A:
c = .86*p
c =1.72 for 2 lbs
Part B:
c =.81p
Step-by-step explanation:
Part A:
Total cost = cost per pound * number of pounds
c = .86*p
Let p = 2
c = .86*2
c =1.72
Part B:
Total cost = cost per pound * number of pounds
c = .(.86-.05)*p
c =.81p
Please help i do not understand
Answer:
OPTION A
I CHOSE OPTION A AS THE ANSWER BECAUSE OPTI0N D CANNOT BE TRUE ACCORDING TO THE QUESTION AND OPTION B AND C ARENT TRUE BECAUSE IT WAS MENTIONED THAT AT 3 HOURS THE COST WOULD BE 140 $ BUT IN OPTION B IT SHOWS THAT THEY ALREADY ACHIEVED 200$ BEFORE IT EVEN BECAME 3 HOURS AND IT ISNT OPTION C BECAUSE IT CROSSED 150$ WHILE IT WAS 3 HOURS SO MOST LIKELY THE ANSWER IS TO BE OPTION A.
HOPE THIS HELPS YOU....
Which answer shows 0.00897 written in scientific notation?
From what I heard it's not D
Answer:
B
Step-by-step explanation:
The decimal number 0.00897 written in scientific notation is 8.97 ×10^3 and it has significant figures
Answer:
8.97 * 10⁻³
Step-by-step explanation:
0.00897 = [tex]\frac{8.97}{1000}=8.97 * 10^{-3}[/tex]
Place the decimal point after the first nonzero number.
Write the power of 10,
(i) If we move the decimal to the right, the power of 10 decrease by number of moves.
(ii) If we move the decimal to the left, the power of 10 increase by the number of moves
Mary has borrowed 48 books from the library. This is 22% of all of the books in the library. How many books are in the library?
Answer:
218
Step-by-step explanation:
ATQ,
22%of total books = 48
Let the total no. of books in library be x.
22/100x=48
x=4800/22
X=218(approximately)
When a weed solution is added to a lawn, the number of weeds can be represented by the function W(d)=1500(.75)^d where d is the number of days since application. By what percent does the population of weeds decrease each day
Number of weeds is represented by the function,
[tex]W(d)=1500(0.75)^d[/tex]
[tex]W(d)=1500(1-0.25)^d[/tex] -------(1)
Here, [tex]d=[/tex] Number of days since application
Function representing the exponential decay is,
[tex]A(t)=A(1-r)^t[/tex] --------(2)
[tex]A=[/tex] Initial value
[tex]r=[/tex] Percentage decay
[tex]t=[/tex] duration
By comparing both the functions (1) and (2),
[tex]r=[/tex] 0.25 ≈ [tex]\frac{25}{100}[/tex]
Or [tex]r=[/tex] 25%
Therefore, population of weeds will decrease 25% each day.
Learn more about exponential decay,
https://brainly.com/question/14355665?referrer=searchResults
Name the property shown by the statement 2a = a2
Distributive property
screenshot if you need more words. seems to be a well illustrated and compact explanation right there