Answer:
It's B
Step-by-step explanation:
The algebra tile that represents the expression is the product of (2x - 1) and (2x + 1)
What are algebra tiles?Algebra tiles are tiles that are used to express the product of two algebraic expressions
The expression is given as:
[tex]4x^2 - 1[/tex]
Express 4 and 1 as perfect squares
[tex](2x)^2 - 1^2[/tex]
Apply the difference of two squares
(2x - 1)(2x + 1)
Hence, the algebra tile that represents the expression is the product of (2x - 1) and (2x + 1)
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ART D: THINKING
17
Solve for x in the following diagram. Make sure to show all your work and clearly label your
diagram with any missing information.
E
65
PP
55°
Y
ye
52 m
70°
1151
А
B
Ads
***
Answer:
110.41mStep-by-step explanation:
To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.
From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°
65+55+∠EBD = 180
∠EBD = 180-120
∠EBD = 60
Also ∠DBC = 90- ∠EBD
∠DBC = 90- 60
∠DBC = 30°
Applying sine rule on ΔBCD;
52/sin∠DBC = DB/sin115
52/sin30 = DB/sin115
DB = 52sin115/sin30
DB = 52sin115/0.5
DB = 104sin115
DB = 114.75 m
Also applying sine rule on ΔBED to get side BE;
BE/sin55 = 114.75/sin65
BEsin65 = 114.75sin55
BE = 114.75sin55/sin65
BE = 93.998/0.906
BE = 103.75m
Finally, applying the trigonometry identity SOH on ΔABE
sinΔEAB = opp/hyp
sin70° = BE/AE
Since AE = x;
sin70° = 103.75/x
x = 103.75/sin70°
x = 110.41m
Hence, the value of x missing is approximately 110.41m
If 3^x= 18, what is the value of 3^3x?
Answer:
54
Step-by-step explanation:
x=6
3*3=9*6=54
Answer:
5832
Step-by-step explanation:
Note:
(x^a)^b = X^(ab)
Cube both sides of the equation to obtain the answer.
[tex]3^{x} = 18\\(3^{x} )^{3} =18^{3} \\3^{3x} =5832[/tex]
Write an equation and solve.
Eleven more than 4 times a number is 39.
The equation is _____ The solution is _____
(Type an equation using x as the variable.)
Answer:
4x+11 = 39
x = 7
Step-by-step explanation:
4 times a number
4x
Eleven more than
4x+11
is means equals
4x+11 = 39
Subtract 11 from each side
4x+11-11 = 39-11
4x = 28
Divide each side by 4
4x/4 = 28/4
x=7
Timed 5 minutes Please How do I solve this? I'm confused Find the value of sin x° and cos y°
Find n. Question below.
Answer:
B. 5
Step-by-step explanation:
[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]
Please someone help me on these questions
Hey there! :)
Answer:
a) 24 cm²
b) 40.04 cm²
--------------------
Use the formula A = l × w to solve for each rectangle's area:
a)
8 × 3 = 24 cm².
b)
5.2 × 7.7 = 40.04 cm²
Answer:
a) 24
b) 40.04
Step-by-step explanation:
a) Area of a rectangle: length x width
length = 8
width = 3
Plug these values into the equation above:
8 x 3 = 24
b) Same steps as above except with different values for length and width
5.2 x 7.7 = 40.04
PLEASE HELP!!!! |6n+7|=8 |3x–1|=4
Answer:
|6n+7|=8= n=1/6,-5/2
|3x–1|=4 x=5/3,-1
Step-by-step explanation:
Help please!!!!!!!!!!!!!!
Answer:
200=4hrs=10 of the machines
200=4hrs
300=xhrs
Cross multiply
200×xhrs = 300×4hrs
X=1200/200
X= 6 hours
∠7 and ∠8 are linear angles and m∠7 is 4 times that of m∠8. Find m∠8 please show work! i already know the answer but I need the work so that i can understand it :) (the answer is 36 degrees)
Answer:
36°
Step-by-step explanation:
Let m∠8 = x°
Therefore, m∠7 = 4x°
Since, ∠7 and ∠8 are linear angles.
Therefore,
m∠7 + m∠8= 180°
4x° + x° = 180°
5x° = 180°
x° = 180°/5
x° = 36°
x = 36
Hence,
m∠8 = 36°
During a college fun-fair, the entrance fee for students was $12 and for teachers (and their family members) it was $30. 75 people came to attend that event and a total of $1800 was gathered. How many students came to this fun-fair?
Answer:
25 Students attended and 50 teachers and their family members attended
Step-by-step explanation:
50x30=1500
25x12=300
1500+300=1800
Hope this helped :)
The number of students attended the fun fair is 25 Students.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that During a college fun-fair, the entrance fee for students was $12 and for teachers (and their family members) it was $30.
Also, 75 people came to attend that event and a total of $1800 was gathered.
50 x 30 = 1500
25 x 12 = 300
1500 + 300 = 1800
So, The number of students attended the fun fair is 25 Students.
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Which of these options is not a quadratic equation in x?
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
By definition, a quadratic equation cannot have an exponent higher than 2.
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
PLEASE HELP AND GIVE AN ACCURATE ANSWER AND EXPLAIN. SHOW YOU WORK ON THE GRID. I WILL MARK YOU THE BRAINIEST On the same grid paper above, transform your figure ABC using the rule (2x,2y)
Answer:
The coordinates seem to be A(-2, -4), B(3, 4) and C (3, -4). The rule (2x, 2y) means that you multiply the coordinates of the points by 2 so you just have to plot the points A'(-4, -8), B'(6, 8), C'(6, -8) and then connect them.
The temperature of liters of a ideal gas was increased from 600 to 800 kelvins. If the volume remained constant and the final pressure was 30 atmospheres, what was the initial pressure?
Answer:
the initial temperature is 22.5 atm
Step-by-step explanation:
The law describing pressure-temperature relationship is the Gay-Lussac's Law.
The Mathematical Form of which is:
=> [tex]\frac{P1}{T1} = \frac{P2}{T2}[/tex]
Where P1 = ? , P2 = 30 atm, T1 = 600 K and T2 = 800 K
=> [tex]\frac{P1}{600} = \frac{30}{800}[/tex]
=> P1 = 0.0375 * 600
=> P1 = 22.5 atm
So, the initial temperature is 22.5 atm
can you plz help me??? Gwen wants to create a congruent shape to the one she made. Her regular pentagon has a perimeter of 24.2 cm. What is going to be the length of the sides in the shape that she creates? A. 4.84 cm B. 5.84 cm C. 9.68 cm D. 121 cm
Answer:
The answer is A) 4.84 cm :P
Step-by-step explanation:
Gwen wants to create a congruent shape, so, all the sides have to be the same size. And if its a pentagon like in your situation , a pentagon has 5 sides so you have to divide 24.2 cm because it's your regular pentagon by 5 (sides) (24.2 cm ÷ 5 sides = 4.84 cm )
I hope I helped you :P
Answer:
The answer is A.
Step-by-step explanation:
Can you create 2 dividing decimal questions where the answer would be 14?
Answer:
2.24/0.16
736.434 × 0.019011
Step-by-step explanation:
The above questions have a solution of 14.
Urgent, It is a Calculus question and I’ll appreciate your help. Thanks
Answer:
4733
Step-by-step explanation:
Please refer to the attached diagram.
Point A can be assigned x-coordinate "p". Then its y-coordinate is 6p^2. The slope at that point is y'(p) = 12p.
Point B can be assigned x-coordinate "r". Then its y-coordinate is 6r^2. The slope at that point is y'(r) = 12r.
We want the slopes at those points to have a product of -1 (so the tangents are perpendicular). This means ...
(12p)(12r) = -1
r = -1/(144p)
The slope of line AB in the diagram is the ratio of the differences of y- and x-coordinates:
slope AB = (ry -py)/(rx -px) = (6r^2 -6p^2)/(r -p) = 6(r+p) . . . . simplified
The slope of AB is also the tangent of the sum of these angles: the angle AC makes with the x-axis and angle CAB. The tangent of a sum of angles is given by ...
tan(α+β) = (tan(α) +tan(β))/1 -tan(α)·tan(β))
__
Of course the slope of a line is equal to the tangent of the angle it makes with the x-axis. The tangent of angle CAB is 2 (because the aspect ratio of the rectangle is 2). This means we can write ...
slope AB = ((slope AC) +2)/(1 -(slope AC)(2))
[tex]6(p+r)=\dfrac{12p+2}{1-(12p)(2)}\\\\3(p+r)(1-24p)=6p+1\qquad\text{multiply by $1-24p$}\\\\3\left(p-\dfrac{1}{144p}\right)(1-24p)=6p+1\qquad\text{use the value for r}\\\\3(144p^2-1)(1-24p)=144p(6p+1)\qquad\text{multiply by 144p}\\\\ 3456 p^3+ 144 p^2+ 24 p+1 =0\qquad\text{put in standard form}\\\\144p^2(24p+1)+(24p+1)=0\qquad\text{factor by pairs}\\\\(144p^2+1)(24p+1)=0\qquad\text{finish factoring}\\\\p=-\dfrac{1}{24}\qquad\text{only real solution}\\\\r=\dfrac{-1}{144p}=\dfrac{1}{6}[/tex]
So, now we can figure the coordinates of points A and B, and the distance between them. That distance is given by the Pythagorean theorem as ...
d^2 = (6r^2 -6p^2)^2 +(r -p)^2
d^2 = (6(1/6)^2 -6(-1/24)^2)^2 +(1/6 +1/24)^2 = 25/1024 +25/576 = 625/9216
Because of the aspect ratio of the rectangle, the area is 2/5 of this value, so we have ...
Rectangle Area = (2/5)(625/9216) = 125/4608 = a/b
Then a+b = 125 +4608 = 4733.
_____
Comment on the solution
The point of intersection of the tangent lines is a fairly messy expression, and that propagates through any distance formulas used to find rectangle side lengths. This seemed much cleaner, though maybe not so obvious at first.
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 7?
Outcome
12
2 3 4 5 6 7 8 9 10 11
3 6 8 11 14 16 15 12 9 5 1
Frequency
The percent probability is = [? ]%
Round to the nearest percent.
Enter
Answer: 7/24
Step-by-step explanation:
Answer:
16%
Step-by-step explanation:
Find the total number of throws
3 + 5 + 8+ 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1
When you add these together, you get 100
Find the number of 7s that were thrown
The number of 7s thrown was 16
Find the probability that a 7 was thrown.
P(7) = 16/100 = 0.16
Find the %.
0.16 * 100 = 16%
(01.01 LC)Which number line best shows how to solve −4 − (−6)?
Answer:
I think there should be a picture for this, but since I don't see any, I will just explain visually.
On a number line, you would go 4 steps or bars to the left (since it is negative) and then since it is minus, minus, it would be the OPPOSITE of negative, which is positive. so you go from -4 to 6 steps to the right.
Step-by-step explanation:
Did you know that there is a easy way to know this?
If you see -(-, it looks like a plus (+), right?
Well, it is!! This is how I remember it, and it is the easiest and fun way to remember it. Remember, -(- is +.
So, the equation would be
-4 + 6.
To solve the answer, you can do 6 - 4. Since 6 is a positive and has a greater value, you would subtract 4 from it to get a positive number. 6 minus 4 is 2, so on the number line, you should end at positive 2.
Put these fractions in order of size smallest to largest 3/5 5/6 1/3
Answer:
1/3, 3/5, 5/6
Step-by-step explanation:
There are multiple ways to solve this. The most simple one in my opinion is to put them into decimal form.
3/5= .6
5/6= .83333
1/3= .333333
In this form it is much easier to put them from least to greatest.
1/3, 3/5, 5/6,
(x2 − 3x + 8) − (7x2 − 2x − 1)
Answer:
- 6x² - x + 9
Step-by-step explanation:
Given
(x² - 3x + 8) - (7x² - 2x - 1)
Distribute the first parenthesis by 1 and the second by - 1
= x² - 3x + 8 - 7x² + 2x + 1 ← collect like terms
= - 6x² - x + 9
Factor p 2 + 18 p + 32.
But it’s P squared
This can be factored into the product of two binomials.
We are going to setup two sets of parenthses and inside each set of parenthses will be the two terms that compose each binomial.
The first term in each binomial will be a factor of the p² term.
Since p² breaks down into p · p, we use a p
as the first position in each binomial.
The second term in each binomial will be the factors of
our constant term that add to the coefficient of the middle term.
These factors are +16 and +2.
So our answer is (p + 16)(p + 2).
Check out the image provided.
I have showed the different pairs of factors of 32.
However, only +16 and +2 add to the coefficient of the middle term.
The function f(x) = 2x is translated left 3 units and down 2 units. Which is the equation of the translated function? g(x) = 2x –3 – 2 g(x) = 2x – 2 – 3 g(x) = 2x – 2 + 3 g(x) = 2x + 3 – 2
Answer:
D. g(x) = 2x + 3 – 2
Step-by-step explanation:
I did the assignment on E.D.G.E.N.U.I.T.Y and got it right.
Thank me by leaving a thanks, rating 5 stars, and adding as brainliest :)
Have a nice day!
Answer:
d
Step-by-step explanation:
edge 2021
A birdbath contains 1\2 liters of water. A rainy day adds a 215 milliliters, more to the birdbath. How many total milliliters of water are in the birdbath after it rained?
Answer:
715
Step-by-step explanation:
The total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division,and multiplication by a conversion factor.
We have:
A birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
1/2 liters = 0.5 liters
We know,
1 lter = 1000 ml
0.5 liters = 0.5×1000 = 500 ml
Total water = 215 ml + 500 ml = 715 ml
Thus. the total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
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If a cone is 5 meters tall and has a radius of 3 meters, What is its volume?
15π m3
60π m3
45π m3
30π m3
Answer: 15π m³
Step-by-step explanation:
Volume of a cone = 1/3πr²h
where,
r = radius = 3 meters
h = height = 5 meters
Volume = 1/3πr²h
Volume = 1/3 × π × 3² × 5
Volume = 1/3 × π × 9 × 5
Volume = 1/3 × π × 45
Volume = 45π/3
Volume = 15π m³
PLEASE HELP The data in the table are entered into a regression calculator. x 11 23 48 89 126 155 y 49 94 196 362 511 617 Based on the line of best fit produced by the regression calculator, which is the best prediction for the value of y when x = 64? A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 11, 23, 48, 89, 126, 155. Column 2 is labeled y with entries 49, 94, 196, 362, 511, 617. The linear regression equation is y almost-equals 3.98 x + 5.022; r almost-equals 1. 250 260 317 325
Answer:
The correct answer is 260
Step-by-step explanation:
Also known as B
Answer:
260 so Answer B
Step-by-step explanation:
Brian buys a computer for £3100. It depreciates at a rate of 5% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.
Answer: 2398.72
Step-by-step explanation:
Simply do 3100*0.95*0.95*0.95*0.95*0.95 ≈ 2398.72
Hope it helps <3
Answer:
$2398.72( I cannot use your dollar sign).
Step-by-step explanation:
If it decreases by 5% every year, then 3100*0.95=2945. Then 2945*0.95=2797.75. Then the 3rd year is 2797.75*0.95=2657.8625. Then 2,657.8625*0.95=2524.96938. Lastly, in the fifth year, it is 2524.96938*0.95=2398.72091. Then, I round off to the nearest penny(hundredths). The answer I get is $2398.72!
Triangle RST is dilated to produce triangle R'S'T. Which statement describes triangle R'S'T? Its x- and y-coordinates are 2 times the corresponding coordinates of triangle RST. Its x- and y-coordinates are of the corresponding coordinates of triangle RST. Its x- and y-coordinates are the opposite of the corresponding coordinates of triangle RST. Its x- and y-coordinates are interchanged compared to the coordinates of triangle RST.
Answer:
I believe it is A; Its x- and y- coordinates are 2 times the correspopnding coordinated of the triangle RST.
Step-by-step explanation:
It just seems the most plausible. I am also taking the Quiz right now.
Answer:
Its A
Step-by-step explanation:
The Triangle is 2x bigger
Got it right on edg
Which graph represents the solution to the inequality?
-2.4(x-6) > 52.8
Answer:
the solution to the inequality -2.4(x-6)>52.8 is A
The given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given inequality is:-
-2.4( x - 6 ) > 52.8We will put the value of endpoints in the graph first and put the value of x = -16
-2.4 ( x - 6 ) > 52.8
-2.4 ( -16 - 6 ) > 52.8
-2.4 ( -22 ) > 52.8
52.8 = 52.8
Now put the value of x =-18
-2.4( -18 - 6 ) > 52.8
-2.4( -24 ) > 52.8
57.6 > 52.8
Therefore the given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.
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A quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line. The pencils have a mean length of
17.9 cm. Given that the population standard deviation is 0.25 cm, find the P-value you would use to test the claim that the population mean of
pencils produced in that factory have a mean length equal to 18.0 cm.
Answer:
The P-value you would use to test the claim that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm is 0.00736.
Step-by-step explanation:
We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.
The pencils have a mean length of 17.9 cm. Given that the population standard deviation is 0.25 cm.
Let [tex]\mu[/tex] = population mean length of pencils produced in that factory.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 18.0 cm {means that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 18.0 cm {means that the population mean of pencils produced in that factory have a mean length different from 18.0 cm}
The test statistics that will be used here is One-sample z-test statistics because we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean length of pencils = 17.9 cm
[tex]\sigma[/tex] = population standard deviation = 0.25 cm
n = sample of pencils = 45
So, the test statistics = [tex]\frac{17.9-18.0}{\frac{0.25}{\sqrt{45} } }[/tex]
= -2.68
The value of z-test statistics is -2.68.
Now, the P-value of the test statistics is given by;
P-value = P(Z < -2.68) = 1 - P(Z [tex]\leq[/tex] 2.68)
= 1- 0.99632 = 0.00368
For the two-tailed test, the P-value is calculated as = 2 [tex]\times[/tex] 0.00368 = 0.00736.
What is the factored form of 6n4 – 24n3 + 18n? 6 n (n Superscript 4 Baseline + 4 n cubed + 3n) 6 n (n Superscript 4 Baseline minus 4 n cubed + 3 n) 6 n (n cubed minus 4 n squared + 3) 6 n (n cubed + 4 n squared + 3)
Answer:
6n(n³ - 4n² + 3)
Step-by-step explanation:
Given
6[tex]n^{4}[/tex] - 24n³ + 18n ← factor out 6n from each term
= 6n(n³ - 4n² + 3) ← which may be factored further if required
6n(n³ - 4n² + 3) is the factored form.
What is expression?Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Given that,
⇒6n⁴ - 24n³ + 18n
factor out 6n from each term
⇒6n(n³ - 4n² + 3)
There are two factors 6n and (n³ - 4n² + 3) of given expression.
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