Answer:
The answer is: 84
Step-by-step explanation:
Trust me
good luck
If x = 2and y = - 2 , find the value of 4x ^ 2 * y ^ - 2
=========================================================
Plug in the values of the variables & simplify:-
[tex]\longrightarrow\pmb{4x^2y^2}[/tex]
The values of the variables are:-
[tex]\bigstar{\boxed{x=2~and~y=-2}[/tex]
Simplify:-
[tex]\longrightarrow\pmb{4(2)^2(-2)^2}[/tex]
[tex]\longrightarrow\pmb{4*4-4}[/tex]
[tex]\longrightarrow\pmb{16-4}[/tex]
[tex]\longrightarrow\pmb{12}[/tex]
==========================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
the answer for this is 4.
Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? 4x2 216x 2,592 = 0 4x2 216x − 684 = 0 2x2 216x − 3,276 = 0 x2 108x 3,276 = 0.
The quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As it is given that the length and the width of the centre area are 72 inches and 36 inches, respectively. When the dimensions of the centre area are converted into the feets, it will be,
[tex]\rm Length = \dfrac{72\ inches}{12} = 6\ feet[/tex]
[tex]\rm Width= \dfrac{36\ inches}{12} = 3\ feet[/tex]
If we take the borders of the table into account, the length and the breadth of the table will become,
Length = (6+x+x) = (6+2x)
Width = (3+x+x) = (3+2x)
We know that the area of a rectangle is given as the product of the length and width, and also it is mentioned that the area of the entire table is 3,276 square feet. Therefore, the area of the table can be written as,
[tex]{\rm Area=Length \times Width}\\\\3276 = (6+2x)(3+2x)\\\\3276= 18+ 12x+ 6x + 4x^2\\\\4x^2+18x+18-3276=0\\\\4x^2+18x-3258=0\\[/tex]
Thus, the quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.
Learn more about Quadratic Equation:
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X + 4y = 7 4x - 3y = 9 equivalent equation and solution
Answer:
x = 3, y = 1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}x+4y=7\\ 4x-3y=9\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=7-4y[/tex]
[tex]\begin{bmatrix}4\left(7-4y\right)-3y=9\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}28-19y=9\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=7-4y[/tex]
[tex]\mathrm{Substitute\:}y=1[/tex]
[tex]x=7-4\cdot \:1[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{The\:Answer\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,y=1[/tex]
Check Answer:
3 + 4(1)
7 (1) = 7
True
4(3) - 3(1)
12 - 3 = 9
True
Hence, x = 3 , y =1
~lenvy~
A number line going from negative 10 to positive 10. Use the number line to help you answer the question. Which statements are true? Check all that apply. –4 < –8 |–4| < |–8| |–5| > 1 –5 > |1| |–2| = |2|
Answer:
2. |-4| < |-8|
3. |-5| > 1
5. |-2| = |2|
Answer:
2,3,5 are correct
Step-by-step explanation:
i took the test
How you should answer:
1. Known:
2.Unknown:
3.Rationle:
4.Equation and Solution:
Steps on how to answer:
-State the known
-State the unknown and represent it with a variable
-Provide a rationale for your approach
-Include the equation, exact answer, and decimal approximation
Question 1
Focus on the triangle on the left.
sine is the ratio of opposite over hypotenuse
sin(angle) = opposite/hypotenuse
sin(44) = w/30
w = 30*sin(44)
w = 20.839751 approximately
Now move onto the triangle on the right. We'll use cosine this time.
cos(angle) = adjacent/hypotenuse
cos(x) = w/45
cos(x) = 20.839751/45
cos(x) = 0.463106
x = arccos(0.463106) ... arccosine is the same as [tex]\cos^{-1}[/tex]
x = 62.412286
Answers:w = 20.839751 approximatelyx = 62.412286 approximately==========================================================
Question 2
Focus on the triangle on the left.
sin(angle) = opposite/hypotenuse
sin(32) = w/5
w = 5*sin(32)
w = 2.649596
Now move to the triangle on the right.
sin(angle) = opposite/hypotenuse
sin(x) = w/5
sin(x) = 2.649596/5
sin(x) = 0.5299192
x = arcsin(0.5299192) .... arcsine is the same as [tex]\sin^{-1}[/tex]
x = 31.999996
Answers:w = 2.649596 approximatelyx = 31.999996 approximately==========================================================
Question 3
This time we use the tangent ratio.
Focus on the triangle that has legs of w and 16.
tan(angle) = opposite/adjacent
tan(70) = 16/w
w*tan(70) = 16
w = 16/tan(70)
w = 5.823524
Now let y = x+w and focus on the largest triangle this time.
tan(angle) = opposite/adjacent
tan(41) = 16/y
y = 16/tan(41)
y = 18.405895
This leads to:
y = x+w
x = y-w
x = 18.405895 - 5.823524
x = 12.582371
Answers:w = 5.823524 approximatelyx = 12.582371 approximatelyNo links no files, please help! I'll give brainest!
Answer:
A = 35 units²Step-by-step explanation:
Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.
The formula of an area of a rectangle a x b:
A = a · b
Smaller rectangle 5 x 7:
As = 5 · 7 = 35
Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:
Al = 7 · 10 = 70
The area of the shaded region:
A = Al - As
substitute:
A = 70 - 35 = 35
If there are 40% of girls and 250 are boys, find
(i) the total number of students
(ii) the number of girls.
Step-by-step answer:
If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.
i)
Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.
[tex]Total * 0.6 = 250[/tex].
[tex]Total = 250/0.6[/tex]
[tex]Total = 417[/tex]
There are 417 students
ii)
Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.
[tex]417 * 0.4 = 167[/tex]
There are 167 students that are girls.
Inscribed angle
Help please
Answer:
x = 3
Step-by-step explanation:
The measure of the inscribed angle is half of measure of the intercepted arc .
Find the half of 192.
192/2 = 96
The inscribed angle is 96°.
Create an equation and solve for x.
31x + 3 = 96
31x + 3 - 3 = 96 - 3
31X = 93
31x/31 = 93/31
x = 3
Tony is working on an arithmetic sequence where t(1) =4 and t(8) =67 Write the explicit equation and recursive equation for this sequence. Is 500 a term of the sequence? Explain why or why not.
This can go on forever, we can then establish the recursive formula which states:
t(n+1)=t(n)+dort(n)=t(n-1)+dExplicit formula:t(2)=t(1)+d
t(3)=t(2)+d, but t(2)=t(1)+d
t(3)=t(1)+d+d
t(3)=t(1)+2d
t(4)=t(1)+3d
t(n)=t(1)+(n-1)dWe can calculate d for these equations:t(8)=t(1)+7d67=4+7d7d=63d=9Explicit relation:t(n)=4+9(n-1)t(n)=9n-5Recursive relation:t(n)=t(n-1)+9t(500)=9(500)-5=4500-5=4495Find the measure of
∠C and ∠D are complementary.
Let m∠C=(8x)° and m∠D=(5x−1)°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 7Step-by-step explanation:
Complementary angles are angles that add up to 90°.
We have C and D as complementary.
Their sum is:
m∠C + m∠D = 90Substitute values and solve for x:
8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7Answer:
x = 7
Step-by-step explanation:
Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.
⇒ ∠C + ∠D = 90°
⇒ 8x + 5x - 1 = 90° [∠C = 8x; ∠D = 5x - 1]
⇒ 13x - 1 = 90°
⇒ 13x = 90 + 1
⇒ 13x = 91
⇒ 13x/13 = 91/13
⇒ x = 91/13 = 7
sin^-1(√3-1/2√2)
please give me answer
use a calculator and the correct answer is 0.019134405
and then round off the that answer into 2 significant number
sin^-1(√3-1/2√2)
please give me answer
Which of the following linear equations represents the data chart?
Answer:
option C
Step-by-step explanation:
y = -x + 7
Hope this helps you
-5x-21 find value of x
Answer:
The value of x = -21/5
Step-by-step explanation:
=> -5x-21 =0
=> -21 = 5x
=> -21/5 = x
Answer:
Step-by-step explanation:
you want to set the equation equal to 0
-5x - 21 = 0
add 21 to both sides to get the variable by itself
-5x = 21
divide both sides by -5
x = - 21/5
(Little tricky; worth extra points )
Which series of transformations shows that pentagon A is congruent to Pentagon B?
A. Reflect pentagon A over the y-axis, rotate it 180 degrees clockwise about the origin, and translate it 3 units up
B. Rotate pentagon A 90 degrees clockwise about the point (1,1) reflect it over the x-axis, and translate it 3 units to the left.
C. Rotate pentagon A 90 degrees clockwise about the origin, reflect it over the x- axis, and translate it 6 units to the left.
D. Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.
Answer:
i am pretty sure it's A or B
Step-by-step explanation:
hope this helps
→(·°ω°·)←
A shop increases all their prices by 9% A picture frame increases by £153 Find the new price of the picture frame.
The new price of the picture frame is £1853
Discounts and incrementsGiven the following parameters
Percentage increase = 9%
Increment = £153
Determine the original value if the frame
9% of x = £153
0.09x = £153
x = £153/0.09
x = £1700
New price = £1700 + £153
New price = £1853
Hence the new price of the picture frame is £1853
Learn more on discount here; https://brainly.com/question/1548141
Evaluate the quotient of 1.05 x 103and 1 x 103:
1.05 x 10 -6
1.05 x 10 9
1.05 x 10 6
1.05 x 10 0
Answer:
1.05 x 10^0.
Step-by-step explanation:
1.05 x 10^3 / 1 x 10^3
= 1.05/1 x 10^(3-3)
= 1.05 x 10^0
The students in a class collected data on the number of minutes some of them spend
brushing their teeth every day. That data is shown in the dot plot below.
What was the median number of minutes students brushed
their teeth?
Answer:
2.5
Step-by-step explanation:
BASED ON GIVEN DATA:
⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES
⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES
THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.
Answer: 0.5 minutes
Step-by-step explanation:
convert 0.001 * km ^ 3 into m ^ 3
Answer:
[tex]1,000,000 \: {m}^{3} [/tex]
Step-by-step explanation:
[tex]0.001 \: {km}^{3} \\ \\ = 0.001 \times {(1000)}^{3} \\ \\ = 0.001 \times 1,000,000,000 \\ \\ = 1,000,000 \: {m}^{3} [/tex]
Write an expression equivalent to 6 — 2.2 +5+ 4. that only has two
terms.
Answer:
3.8 + 9?
Step-by-step explanation:
HELP ME PLS. brainy reward it is about hangers.
The Problem: 20/3x = 5(x+1/2) + 4/3
20/3 , 1/2 , 4/3 are fractions. Solve for x
Answer:
x=23/10
Step-by-step explanation:
the dash is a fraction
need some help with these questions in the image
a. answer:_77
2_ (7 * 9) _ 16
2_ (63) _16
_61_16
_77
A rental car company charges $36.39 per day to rent a car and $0.09 for every mile
driven. Miguel wants to rent a car, knowing that:
He plans to drive 225 miles.
• He has at most $480 to spend.
Which inequality can be used to determine x, the maximum number of days Miguel
can afford to rent for while staying within his budget?
Answer:
12 days
Explanation:
480 >/= 36.39x + 20.25
The inequality to determine x, the maximum number of days Miguel
can afford to rent while staying within his budget is
202.5 + 36.39x ≤ 480
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Charges per day = $36.39
Charges per mile = $0.90
Total miles = 225
Total charges for 225 miles.
= 225 x 0.90
= $202.5
The maximum amount to spend = $480
The inequality for the maximum number of x days.
202.5 + 36.39x ≤ 480
Thus,
The inequality to determine x, the maximum number of days is
202.5 + 36.39x ≤ 480
Learn more about inequalities here:
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Will choose Brainliest.
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80.
How many more cookies will Jessica have than Martha?
If x represents the number of cookies Jessica started with, complete the statements below.
The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0
Jessica has at least
_ cookies more than Martha.
That part is total cookies as per algebraic formula x^2-(a+b)x+ab=0
Hence
The inequality is
[tex]\\ \rm\rightarrowtail x^2-30x+224>=0[/tex]
[tex]\\ \rm\rightarrowtail (x-14)(x-16)>=0[/tex]
[tex]\\ \rm\rightarrowtail 14\leqslant x\leqslant 16[/tex]
Solution range
[14,16]Atleast means the range
16-142Atleast 2 more than Martha
1. What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
a.9.2 units, 49.4° south of east
b.10.4 units, 40.6 ° south of east
c.9.2 units, 49.4 ° north of west
d. 10.4 units, 40.6 ° north of west
The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C)
How to find the magnitude and the direction of a vectorFirst, we need to determine the expression of [tex]\overrightarrow {RS}[/tex] by vector sum:
[tex]\overrightarrow{RS} = S(x,y) - R(x,y)[/tex]
[tex]\overrightarrow{RS} = (-2, 1) - (4, -6)[/tex]
[tex]\overrightarrow {RS} = (-6, 7)[/tex]
The magnitude and the direction of the vector are determined by Pythagorean theorem and inverse trigonometric functions, respectively:
Magnitude[tex]\|\overrightarrow{RS}\| = \sqrt{(-6)^{2}+7^{2}}[/tex]
[tex]\|\overrightarrow{RS} \| = \sqrt{85}[/tex]
Directionθ = tan⁻¹ (7/-6)
θ ≈ 130.601°
The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C) [tex]\blacksquare[/tex]
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
can you help me figure this out?
Answer:
D. $8 per hour
Step-by-step explanation:
The rate of pay is found by dividing the pay by the number of hours it is for.
$40/(5 h) = $8/h
The worker gets paid $8 per hour.
Select the expression equivalent to (4.5x + 3.1) - (-3x - 5).
a
7.5x + 1.9
b
7.5x - 1.9
7.5x + 8.1
d.
7.7x - 1.9
Answer:
Option C :- 7.5x + 8.1
Step-by-step explanation:
Let's simplify step-by-step.
4.5x+3.1−(−3x−5)
Distribute the Negative Sign:
=4.5x+3.1+−1(−3x−5)
=4.5x+3.1+−1(−3x)+(−1)(−5)
=4.5x+3.1+3x+5
Combine Like Terms:
=4.5x+3.1+3x+5
=(4.5x+3x)+(3.1+5)
=7.5x+8.1
Answer:
=7.5x+8.1
pls help with this Its on ixl
Answer:
142 cm squared
Step-by-step explanation:
the formula used was 2(lw + wh +lh)
where l is length
w is width
and h is height
Answer:
142
Step-by-step explanation:
5 x 3 = 15 Times by 2 = 30
7 x 5 = 35 Times by 2 = 70
7 x 3 = 21 Times by 2 = 42
Please help me yall I am so done with hw
Cities are pretty far from each other so you would have to use miles
Answer: the answer is d which is Miles .
Step-by-step explanation: it is Miles because there is a far distance bbetween Cities .HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .
type of angle that has the sallest measure
Answer: acute angle
Step-by-step explanation: acute angle is the smallest starting from 0 to 90 DDegrees .