Listen ducky: 81x-27x=9
54x=9
X=1
---
6
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \:81x - 27x = 9[/tex]
[tex]\qquad \tt \dashrightarrow \:9(9x - 3x )= 9[/tex]
[tex]\qquad \tt \dashrightarrow \:(9x - 3x )= 1[/tex]
[tex]\qquad \tt \dashrightarrow \:6x = 1[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \cfrac{1}{6} [/tex]
49
Jerrelle spent $0.60 on five stickers. Each sticker costs the same amount. How much
did each sticker cost?
A
$0.06
B
$0.12
с
$1.20
D $5
Answer:
A. $0.60
Step-by-step explanation:
there are 5 strikers that cost $0.60 each, so the answer is letter A.
Researchers would like to assess the overall health of white pine trees in a state park. The park has a paved road that runs through the middle of the park. To select trees to assess for damage, the ranger parks at the side of the road and chooses 100 trees near the road to assess for damage. Which of the following statements best describes the bias that may arise from the results?
Because only 100 trees were selected, the overall damage of trees in the park may be underestimated.
The ranger should take another sample of trees near the road and compare it to the first sample to reduce bias.
Because a random sample of trees was chosen, the sample should provide a suitable estimate of the overall health of the trees.
Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.
Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage to the trees.
What is a random sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive
Given, The ranger parks at the side of the road and chooses 100 trees near the road to assess for damage hence, trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.
So, Consequently, the results can exaggerate the total amount of tree damage.
learn more about random samples here :
https://brainly.com/question/29852583
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Help Me on this!!
[tex] \: \: \: [/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution~
Standard equation of a circle is represented as :
[tex]\qquad \sf \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where,
h = x - coordinate of center k = y - coordinate of centerradius = diameter/2 = [tex]4\sqrt{3}[/tex]Now, let's plug in the values to find the required equation of circle ~
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y - ( - 10)) {}^{2} = (4\sqrt{3} ) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 16 \times 3[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 48[/tex]
The equation of given circle with centre C ( 8 , - 10 ) and diameter ( 8√3 ) is x² + y² - 16x + 20y + 116 = 0
[tex]\quad\rule{300pt}{1pt}\quad [/tex]
Solution:The standard equation of Circle is given by :
[tex] {\pmb{\sf {\longrightarrow r^2 = (x-h)^2 +( y-k)^2}} }[/tex]
This is the standard form of the equation. Thus if we know the coordinates of center of the circle and it's radius, we can easily find its equation
Here, in this question we are given that the centre C is ( 8 , -10 ) and diameter 8√3.
[tex] \longrightarrow[/tex]h = 8
[tex] \longrightarrow[/tex] k = - 10
[tex] \longrightarrow[/tex] r = [tex] \sf{\dfrac{diameter}{2}}[/tex]
[tex] \longrightarrow[/tex] r = [tex] \sf 4\sqrt{3}[/tex]
[tex] \qquad\qquad\rule{250pt}{1pt}\qquad[/tex]
On putting the values in the formula :
[tex] \sf{:\implies \qquad r^2 = (x-h)^2+ ( y-k)^2 }[/tex]
[tex] \sf{:\implies \qquad (4\sqrt{3})^2 = ( x-8)^2 +(y-(-10))^2 }[/tex]
[tex] \sf{:\implies \qquad (4)^2.(\sqrt{3})^2=(x-8)^2+(y+10)^2}[/tex]
[tex] \sf{:\implies \qquad 16\times 3 =( x^2 + 8^2 -2\times x \times 8 ) + ( y^2 + 10^2 + 2\times y \times 10 )}[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 - 16x + y^2 + 100 + 20y }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 -16 x + 20y + 100 + 64 }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 +y^2 -16x +20y +164}[/tex]
[tex] \sf{:\implies \qquad x^2 + y^2 -16x +20y +164 - 48 = 0}[/tex]
[tex] \sf{:\implies \qquad{\boxed{ \sf x^2 + y^2 -16x + 20y +116 = 0 }}}[/tex]
ㅤㅤㅤㅤ~Hence, the required equation of Circle is x² + y² - 10x + 20y + 116 = 0
PLEASE
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = -x - 4
Step-by-step explanation:
m = (-5-0)/(1+4) = -5/5 = -1
b = (0, -4)
y = mx + b
y = -x - 4
BRAINLIEST please if this helps!Katie baked a cake. Her brother ate 1/8 of the cake, her father ate 1/4 of the cake, and her mother ate 1/8 of the cake. How much is left?
Answer:
1/2
Step-by-step explanation:
hope this helps and have a nice day!
Find two solutions to the following system of inequalities. Please write it in ordered pair form.
Answer:
(5, 5) and (6, 1)
Step-by-step explanation:
Solutions to the system of inequalities are any points that are in the overlapped shaded region.
For example (5, 5) and (6, 1)
ProofFind the equations of the two lines.
Blue line
Two points on the line: (-5, 8) and (0, -7)
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-7-8}{0-(-5)}=-3[/tex]
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies \sf y-(-7)=-3(x-0)[/tex]
[tex]\implies \sf y=-3x-7[/tex]
As the shading is above the line, and the line is dashed:
[tex]\sf y > -3x-7[/tex]
Red line
Two points on the line: (0, -9) and (2, 1)
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{1-(-9)}{2-0}=5[/tex]
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies \sf y-(-9)=5(x-0)[/tex]
[tex]\implies \sf y=5x-9[/tex]
As the shading is below the line, and the line is solid:
[tex]\sf y\leq 5x-9[/tex]
[tex]\sf Inequality\:1: y > -3x-7[/tex]
[tex]\sf Inequality\:2:y\leq 5x-9[/tex]
Point (5, 5)
[tex]\sf Inequality\:1\implies -3(5)-7=-22 < 5\: \implies\:true[/tex]
[tex]\sf Inequality\:2\implies 5(5)-9=16 > 5\: \implies\:true[/tex]
Point (6, 1)
[tex]\sf Inequality\:1\implies -3(6)-7=-25 < 1\: \implies\:true[/tex]
[tex]\sf Inequality\:2\implies 5(6)-9=21 > 1\: \implies\:true[/tex]
the values in a data set r 15,7,11,12,6,3,10, and 6. where would u draw the box in a
Answer:
8.5
put numbers least to greatest and find the median by crossing numbers out front from back.
Which of these statements is a valid perfect square trinomial?
Statement 1: x2 + 10x + 100 = (x − 10)2
Statement 2: a2 + 2ab + b2 = (a + b)2
Group of answer choices
Statement 1 and statement 2 are valid.
Statement 1 and statement 2 are invalid.
Only statement 1 is valid.
Only statement 2 is valid.
Answer:
D. Only statement 2 is validStep-by-step explanation:
Verify if the statements are correctStatement 1:
x² + 10x + 100 = (x − 10)²x² + 10x + 100 = x² + 2(x)(-10) + (-10)²x² + 10x + 100 = x² - 20x + 100LHS ≠ RHSStatement 2:
a² + 2ab + b² = (a + b)²a² + 2ab + b² = a² + 2ab + b²LHS = RSHAs we see the second statement is valid but not the first one.
Correct choice is D
Answer:
Statement 2 only
Step-by-step explanation:
2nd one is the identity so no need to verify its true
1st one
(x-10)²x²-20x+100Hence wrong
Write an equation of a parabola that opens upward, has a vertex at the origin, and a focus at (0, 2).
Answer:
Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is
| (X — h)^2 = 4p(Y — k) |
Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.
So the equation of this parabola is,
(X — 0)^2 = 8(Y — 0)
X^2 = 8Y or Y = X^2/8
Step-by-step explanation:
Three students measured the heights of the daffodils they are growing.
2/3
Sofia's daffodil is 4/6
of a foot high
Mateo's daffodil is
of a foot high.
3/8
Deshawn's daffodil is
of a foot high
Which statement correctly compares two of these fractions?
L
Giving brainliest! need this question rlly soon thank you so much :)
pls answer i need to answer it in 10-15 mins plsss
Answer:
The sum of two even numbers is an even number
Step-by-step explanation:
Hey there!
As you can see in the table, all the even numbers when added up are equal to an even number
This make the statement "The sum of two even numbers is an even number" true
A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular to this line and passes through the point (2, 3)?
Step-by-step explanation:
Gradient = y2-y2/x2-x1
= 1-(-2) / 0-(-6)
= 1/2
m1 × m2 = -1
1/2 × m2 = -1
m2 = -2
y= mx+c
(3)=(-2)(2) + c
c=7
°y= -2x +7
eter and Area
5
Annita is sewing a lace edge around a rectangular quilt. She will need 160 inches of lace to do the entire quilt. If the quilt is 46
inches wide, how long is the quilt?
A. 32 inches
B. 34 inches
C. 80 inches
D.
68 inches
Reset
Submit
Answer:
b 34
Step-by-step explanation:
its 34 because if you do 46×2 because of the both sides you will get 92 then subtract 92 from 160 and you will get 68 then do 68÷2 to find out the second side and you will get 34
what is the total interest accured for a loan of $3200 at 6.1% interest
Answer:
6.1÷100×3200
press that you will get your answer
The graph of g(x) contains the points (3, -13) and (-3, 17).
Which statement is true?
OA. The graphs of f(x) and g(x) have the same steepness with negative slopes.
OB. The graph of g(x) is steeper than the graph of f(x).
OC. The graphs of f(x) and g(x) have the same steepness with positive slopes.
OD. The graph of g(x) is less steep than the graph of f(x).
Answer:
Step-by-step explanation:
Sorry if I got you the wrong answer but I think it's, OB
na conta de adição (soma) representa a seguir
Step-by-step explanation:
I only understand English i am sorry
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN=13x-9 and MP=4x+5
Answer:
x = 3.25 Each diagonal = 34.25. Step-by-step explanation: LMNP is a rectangle and it has diagonals LN and MP. Now, given that LN = 13x - 8 and MP = 9x + 5 Now, we know that the two diagonals of a rectangle are of the same length. So, LN = MP ⇒ 13x - 8 = 9x + 5 ⇒ 4x = 13 ⇒ x = 3.25 (Answer) Therefore, the each diagonal is of (13 × 3.25 - 8) = 35.25 length. (Answer)
Read more at Answer.Ya.Guru – https://answer-ya.com/questions/4694576-lmnp-is-a-rectangle-find-the-value-of-x-and-the-length-of-each.html
Step-by-step explanation:
Answer:
Can you provide an Attachment?
Step-by-step explanation:
^^
(x^2 - 14x + 48) divided (x-6)
Answer: (x^2 - 14x + 48) : (x-6) = 0(x^2 - 14•x + 48) : (x-6) = 0x = 8
Step-by-step explanation:
i hope this is the answer your looking for
Christina read 7 pages in a magazine she read 5 times as many pages in a book how many pages did christina read altogether
I need help my sister needs help and she is in 4th grade and I am in 10th so I don’t know how to do her homework
Answer:
42 Pages
Step-by-step explanation:
7x5=35
7+35=42
keith bought a soft drink for 2 dollars and 6 candy bars. he spent a total of 14 dollars. how much did each candy bar cost?
Answer:
2
Step-by-step explanation:
so if you take away 14 by 2 =12 and 12 divided by 6= 2
Answer:
each candy bar cost 2 dollars
Step-by-step explanation:
What is the area of this trapezoid?
Enter your answer in the box.
__ ft²
Answer:
468 ft²
Step-by-step explanation:
Area = (37+15)/2 × 18
37 + 15 is 52
Divide 52 by 2 which is 26
26 × 18 is 468
We know,
[tex] \text{Area of trapezoid =} \frac{a + b}{2} h[/tex]
Here, a and b are base and h is height
Inserting The Values[tex] = \frac{37 + 15}{2} \times 18 \\ \\ = \frac{52}{2} \times 18 \\ \\ = \cancel\frac {52}{2} \times 18 \\ \\ = 26 \times 18 \\ = 468 \: \text{ft²}[/tex]
Hope This HelpsWhat value of x makes the equation true? 6 6x + 8 = 3x - 19 : A. X=-9 B. -- 3 C. = -3 D. x= 3
Answer:
A. x = -9
Step-by-step explanation:
6x + 8 = 3x - 19 <== subtract 3x from both sides
-3x -3x
3x + 8 = -19 <== subtract 8 from both sides
- 8 - 8
3x = -27 <== divide both sides by 3
/3 /3
x = -9
Hope this helps!
Answer:
[tex]\tt x=-9[/tex]
Step-by-step explanation:
[tex]\tt 6x + 8 = 3x - 19[/tex]
Subtract 8 from both sides:-
[tex]\tt 6x+8-8=3x-19-8[/tex]
[tex]\tt 6x=3x-27[/tex]
Subtract 3x from both sides:-
[tex]\tt 6x-3x=3x-27-3x[/tex]
[tex]\tt 3x=-27[/tex]
Divide both sides by 3:-
[tex]\tt \cfrac{3x}{3}=\cfrac{-27}{3}[/tex]
[tex]\tt x=-9[/tex]
The vaule of x that makes the equation true is A) x= -9.
Please, help me!!! 5 mins left to submit!!
Question 1 Part C (3 points): Choose the answer below that best completes the following statement:
Adding, subtracting, or multiplying two polynomials ___ results in another polynomial.
A. Sometimes
B. Always
C. Never
Solve 96 =3w+ 15, where w is a real number.
2
Round your answer to the nearest hundredth?
Answer:
3+15=18 i guess
Step-by-step explanation:
dont judge me im only in 2 grade
Solve the following problem.
360 mL =____cups?
type your answer...
Answer:
1.52 cups
Step-by-step explanation:
360 ml / (236.588 ml/cup ) = 1.52 cups
Suppose the Federal Reserve set the reserve requirement at 20%. Assume that banks lend all reserves that are not required to be held. Round the answers to two decimal places.
Answer:
whaaaat iisss these. answeeeeeeer??100 points and brainliest. Put nonesense and get reported. What is wrong with the equation below, make sure to explain
Answer: 1 3/4(8)= 14
Step-by-step explanation:
That is the correct answer
Al llegar a la caja de un supermercado, la cuenta fue de 330 en alimentos y 150 en útiles de aseo . En el momento de pagar, le descontaron 10. si recibio 30 de vuelto ¿con cuanto pago?
Answer:
500
Step-by-step explanation:
330+150=480
480-10=470
470+30=500
4(x+5)=6(x+4) what is x
Answer:
x = -2
Step-by-step explanation:
1) Distribute
4(x+5)=6(x+4)
4x+20=6(x+4)
2) Distribute
4x+20=6(x+4)
4x+20=6x+24
3) Subtract 20 from both sides
4x+20=6x+24
4x+20-20=6x+24-20
4) Simplify
- Subtract the numbers
4x+20-20=6x+24-20
4x=6x+24-20
- Subtract the numbers
4x = 6x + 24 - 20
4x = 6x + 4
5) Subtract 6x from both sides
4x = 6x + 4
4x - 6x = 6x + 4 - 6x
6) Simplify
- Combine like terms
4x-6x = 6x + 4 - 6x
-2x = 6x + 4 - 6x
- Combine like terms
-2x = 6x + 4 - 6x
-2x = 4
7) Divide both sides by the same factor
-2x = 4
-2x/-2 = 4/-2
8) Simplify
- Cancel terms that are in both the numerator and denominator
-2x/-2 = 4/-2
x = 4/-2
- Divide the numbers
x = 4/-2
x = -2
