Answer:
like terms =2x,-6x
.....
like terms =5y²,18y²
remaining are unlike terms.
Answer:
like term=2x-6x
like term=5y square-18y square
Solve for x................
Answer:
x = 17
Step-by-step explanation:
Use the interior angle sum theorem which says:
if n is the number of sides the sum of the interior angles is 180(n-2)
there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.
This means that if you add all the angles you will get 720, so:
[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]
[tex]26x+278=720\\26x = 442\\x = 17[/tex]
You roll a number cube twice. What is the probability of rolling a 2 first and then rolling an odd number?
A) 1/12
B) 1/36
C) 1/4
D) 1/9
I Need help on this question
Answer:
I’m sorry, can you please tell me the options for the drop down menu. Thanks, I will edit my answer when you do.
Step-by-step explanation:
Prove that the recurring decimal 0.43333... has the value 13/30
Answer:
0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
x = 0.43333......
Multiply the equation by 10 on both sides, then we have
10x = 10 × 0.43333......
10x = 4.33333...... ...1
Multiply the equation by 100 on both sides, then we have
100x = 100 × 0.43333......
100x = 43.33333...... ...2
Subtract equation 1 from equation 2, then we have
100x - 10x = 43.3333.... - 4.3333.....
90x = 39
x = 39 / 90
x = 13 / 30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
I am confused on how to solve this. NOTE: the lower limit for the second function is (-6) NOT 6. Wouldn't let me type it in correctly.[tex]\int\limits^6_3 {|x-4|} \, dx + \int\limits^0_6 {\sqrt{36-x^2} } \, dx[/tex]
I think how you approach this depends on your knowledge of calculus.
If you don't know how to compute definite integrals yet, but you do know that they represent signed areas under curves, then you can plot both curves |x - 4| and √(36 - x ²), then recognize that the areas represented by these integrals are areas of geometric shapes. (See attached images)
First integral: if you plot |x - 4| on the interval [3, 6], you'll see that the integral corresponds to the area of two triangles. One of them has base = height = 1, and the other has base = height = 2. Then
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac12\times1\times1+\frac12\times2\times2=\frac52[/tex]
Second integral: if [tex]y=\sqrt{36-x^2}[/tex], then [tex]x^2+y^2=6^2[/tex], meaning this curve is the upper half of a circle with radius 6. On the interval [-6, 0], the area amounts to 1/4 of the total area of such a circle, so that
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\frac{\pi\times6^2}4=9\pi[/tex]
* * *
If you already know a few things about calculus and integration, you can compute these areas directly.
First integral:
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\int_3^4(4-x)\,\mathrm dx+\int_4^6(x-4)\,\mathrm dx[/tex]
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(4x-\frac{x^2}2\right)\bigg|_{x=3}^{x=4}+\left(\frac{x^2}2-4x\right)\bigg|_{x=4}^{x=6}[/tex]
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(\left(4\times4-\frac{4^2}2\right)-\left(4\times3-\frac{3^2}2\right)\right)+\left(\left(\frac{6^2}2-4\times6\right)-\left(\frac{4^2}2-4\times4\right)\right)[/tex]
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac52[/tex]
Second integral:
Substitute x = 6 sin(t ) and dx = 6 cos(t ) dt, then
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\int_{-\frac\pi2}^0\sqrt{6^2-(6\sin(t))^2} (6\cos(t))\,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{1-\sin^2(t)} \,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{\cos^2(t)} \,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) |\cos(t)| \,\mathrm dt[/tex]
For t ∈ [-π/2, 0], cos(t ) > 0, so |cos(t )| = cos(t ) :
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos^2(t)\,\mathrm dt[/tex]
Recall the half-angle identity,
cos²(t ) = (1 + cos(2t )) / 2
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\int_{-\frac\pi2}^0(1+\cos(2t))\,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(t+\frac{\sin(2t)}2\right)\bigg|_{t=-\frac\pi2}^{t=0}[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(\left(0+\frac{\sin(2\times0)}2\right)-\left(-\frac\pi2+\frac{\sin\left(2\times\left(-\frac\pi2\right)\right)}2\right)\right)[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=9\pi[/tex]
How many chicks hiding? Explain how you know.
What's the slope of the line through (1,3) and (-2,-3)
Answer:
m = 2
The slope of the line through (1, 3) and (-2, -3) is 2!
The formula to find the slope is attached below.
Hope I was of help. Have a good new year!
А_______is part of the population chosen to
represent the entire group.
Answer:
mean.
Step-by-step explanation:
since this is a math question i'm assuming you want a mathematical term. the mean of a set of data represents the entire set of data.
More trig questions! Given that sin(C) = cos(B)Find the measure of ∠C if m∠C=10x+4 and the m∠B = 4x+2
Answer:
angle C = 64 degrees
Step-by-step explanation:
sin C = cos B
angle C = 10x+4
angle B = 4x+2
angle C + angle B = 90 degrees
10x+4 + 4x+2 = 90
simplify:
14x+6 = 90
14x = 84
x = 6
angle C = 64 degrees
1. Luis went to the bank. He deposited
$20 into his savings account and
withdrew $40 from his checking
account. Write integers to describe
both transactions.
Whats 4 5/6 + 5 7/8 thank you for answering
Answer:
4 5/6 + 5 7/8= 10 17/24
Step-by-step explanation:
pretty sure I answered this exact question like minutes ago
Answer: 257/24, or 10 and 17/24.
Step-by-step explanation:
First, we need to turn the fractions into improper fractions and then find the common denominator.
4 and 5/6 = 29/6
5 and 7/8 = 47/8
The common denominator is 24. Now, we convert the fractions and add. Hope this helps!
true or false help please pre cal
Answer:
True
Step-by-step explanation:
Help me please i will give brainliest
Answer:
1. C. x^8
2. C. 3^9
3. D. 12x^7
Step-by-step explanation:
1.
x^6 * x^2 = x^(6 + 2) = x^8
Answer: C. x^8
2.
3^2 * 3^3 * 3^4 = 3^2 + 3 + 4) = 3^9
Answer: C. 3^9
3.
3x^2 * 4x^5 = 3 * 4 * x^2 * x^5 = 12x^(2 + 5) = 12x^7
Answer: D. 12x^7
Before dividing, decompose 420 to make it easier to divide by 4.
Patty's pet puppy, Oreo, liked to lie down on a small carpet by the door. The
carpet was 1 { feet long and 3 feet wide. What is the perimeter of the
carpet?
Plz help I will give you 40 points and Brainly
Answer:
D) {-5,1}
R) {-4,7}
x (-31/11,0)
y (0,31/6)
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
A customer's entire breakfast bill is $8. If the customer pays the server for the entire bill plus a 25% tip, what is total amount the customer pays?
A. $6
B. $10
C. $20
D. $32
Answer:
10
Step-by-step explanation:
The number 7,945 rounded to the nearest hundred is 7,950.
True
False
Answer:
false, it would be 8,000
Answer choices
79in
158in
103in
118in
164in
it's 158 inches
----------------------------
John is comparing his workers’ production for the day. The ratios of items produced to time in hours are shown. Worker Items Production Ratio James 12 : 3
Charlie 7 : 2 Michael 14 : 2 Fred 16 : 4 Which two workers have equivalent ratios?
The graph of a linear function iS shown.
Which word describes the slope of the line?
positive
negative
zero
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Allison lives in Kansas City, which has coordinates of 39o5'59" N, 94o34'41 W (39.0997o N, 94.5783o W). (Earth's radius is 3950 miles). What is Allison's angular velocity in radians/hour? What is Allison's linear velocity, with respect to the center of earth in miles per hour?
Answer:
Allison's angular velocity is approximately π/12 radians/hour
Allison's linear velocity, with respect to the Earth, v is approximately 802.52 miles/hour
Step-by-step explanation:
The coordinates of Kansas City where Allison lives = 39°5'5'' N, 94°34'41''W (39.0997° N, 94.5783° W)
The radius of the Earth, R = 3950 miles
The rate of rotation of the Earth ≈ 2·π radians in 24 hours
The angular velocity of the Earth, ω ≈ 2·π/24 radians/hour ≈ π/12 radians/hour
The angular velocity of the Earth = Allison's angular velocity ≈ π/12 radians/hour
Allison's angular velocity, ω ≈ π/12 radians/hour
Allison's radius or revolution with respect to the axis of the Earth, r = 3950 miles × cos(39.0997°) ≈ 3,065.39635 miles
The linear velocity, v ≈ ω × r
∴ v ≈ π/12 radians/hour × 3,065.39635 miles = 802.518887792 miles/hour
Allison's linear velocity, with respect to the Earth (0 linear velocity), v ≈ 802.52 miles/hour
4 adults and 3 children to go to a show how much is if for the 4 adults
Can someone help with these questions?
¿Alguien puede ayudar con estas preguntas?
9514 1404 393
Answer:
63/94$6857.14Step-by-step explanation:
a) The fraction is ...
2(5 1/4)/(15 2/3) = (21/2)/(47/3) = 63/94
Two streamers will require 63/94 of the original material.
__
b) $4800 is 70% of Sara's salary, so that salary is ...
4800 = 0.70s
4800/0.70 = s = 6857.14
Sara's salary is about $6857.14.
Simplify the expression 10 + 2(n + 5) + 4n
Answer:
6n + 20
Step-by-step explanation:
10 + 2n + 10 +4n
6n +20
Answer:
[tex]10 + 2n + 10 + 4n \\ 6n + 20 \\ 2(3n + 10)[/tex]
I don't understand this math problem, please help
Answer/Step-by-step explanation:
1. <A = <B (alternate angles theorem)
90° = 2x (substitution)
Divide both sides by 2
90/2 = 2x/2
45 = x
x = 45
2. <3 = <5 (corresponding angles theorem)
½x = 60 (substitution)
Multiply both sides by 2
x = 60*2
x = 120
3. Based on supplementary bangle theorem, sum of supplementary angles = 180°. Therefore:
m<LFG + m<ABC = 180°
2.5x + x + 33 = 180 (substitution)
Add like terms
3.5x + 33 = 180
3.5x = 180 - 33
3.5x = 147
x = 147/3.5
x = 42
3a. m<LFG = 2.5x
Plug in the value of x
m<LFG = 2.5(42)
m<LFG = 105°
3b. m<ABC = x + 33
Plug in the value of x
m<ABC = 42 + 33
m<ABC = 75°
Can someone please help meee
Answer:
20
Step-by-step explanation:
Because this angle is 90 and we have 70
Hi, which one is the correct answer? thank you
Answer:
Step-by-step explanation:
tan B=372/279=(31×12)/(31×9)=12/9=4/3
What is the slope and y-intercept of the line whose equation is y + 4x =
8?
Answer:
The slope is -4 and the y-intercept is 8.
Step-by-step explanation:
y+4x=8
y=8-4x
y=-4x+8
y=mx+b where m=slope and b=y-intercept.
Hello!
The equation of this line is written in slope-intercept form (y=mx+b)
Where
m is the slope
b is the y-intercept
m is 4
b is 8
Hope it helps!
If you have any questions, feel free to ask! :)
~An excited gal
[tex]MagicalNature[/tex] here to help
54 1/2-42 3/4
45 3/8- 13 3/4
Answer:
11 3/4
31 5/8
Step-by-step explanation:
1. 54 1/2 - 42 3/4
= 109/2 -171/4
= 218-171/4
= 47/4
= 11 3/4
2. 45 3/8 - 11 3/4
= 363/8 -55/4
= 363-110/8
= 253/8
= 31 5/8