Answer: x = -1.8
Step-by-step explanation:
-7 - 12 = -7x + 3 (-4 - x)
-7x + 3 (-4 - x) = -7 - 12
P.S I switched the order cuz I find it easier to solve this way.
-7x + 3 (-4 - x) = -7 - 12
Distribute
-7x - 12 - 3x = - 7 + 13
Add 12 to both sides
-7x - 3x = -7 + 13 + 12
Combine like terms
-10x = 18
Divide both sides by -10
x = -1.8
A bottle contains 15 marbles: 9 are white and 6 are green. What is the
probability of picking a white?
Answer: 3/5
Step-by-step explanation:
Fist find out how many whites are there and divide it by the total to find the probability.
9/15 simplify it to 3/5
Factor using the GCF method
8r3 + 16r2
Answer:
8r^2(r + 2)
Step-by-step explanation:
Factor 8r^3 + 16r^2
= 8r^2(r + 2)
Answer:
56 r
Step-by-step explanation:
8r x 3 + 16 r x 2
24 r + 32 r
56 r
Solve for x; round to the nearest tenth of meter (please help will definitely give Brainliest❤️❤️)
Answer:
the first answer
Step-by-step explanation:
In SOHCAHTOA, we are using soh
sin(23)=2500/x
Integrate the integral:
[tex]\int \frac{1}{\sqrt{x} \sqrt{1-x} }[/tex]
Answer:
[tex]\displaystyle \int {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx = 2arcsin(\sqrt{x}) + C[/tex]
General Formulas and Concepts:
Calculus
U-SubstitutionIntegration Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Arctrig Integration: [tex]\displaystyle \int\limits {\frac{1}{\sqrt{a^2-u^2} } } \, du = arcsin(\frac{u}{a} ) + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx[/tex]
Step 2: Identify
Set up variables for u-substitution and integral trig.
[tex]\displaystyleu = \sqrt{x}\\a = 1\\du = \frac{1}{2\sqrt{x}}dx[/tex]
Step 3: integrate
Rewrite Integral: [tex]\displaystyle 2\int {\frac{1}{2\sqrt{x} \sqrt{1-x} } } \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-(\sqrt{x})^2 } }[/tex][Integral] U-Sub Arctrig: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-u^2 } }[/tex][Integral] Arctrig: [tex]\displaystyle 2arcsin(\frac{u}{1}) + C[/tex]Simplify: [tex]\displaystyle 2arcsin(u) + C[/tex]Back-substitute: [tex]\displaystyle 2arcsin(\sqrt{x} ) + C[/tex]We are given the expression:
[tex]\int\limits {\frac{1}{\sqrt[]{x} }*\frac{1}{\sqrt[]{ 1-x^{2}}} } \, dx[/tex]
U-substitution:
let u = [tex]x^{1/2}[/tex] [So, x = u²]
[tex]\frac{du}{dx} = \frac{1}{2\sqrt[]{x}}[/tex] [differentiating both sides wrt x]
dx = du*2√(x)
dx = 2u(du) [Since u = √x]
Finding the Integral:
Plugging these values in the given expression:
[tex]\int\limits {u^{-1}*(1-u^{2})^{-1/2} } \, 2\sqrt[]{x}*du[/tex]
[tex]\int\limits {\frac{1}{u}*\frac{1}{\sqrt[]{ 1-u^{2}}}*2u } \, du[/tex]
The 'u' in the numerator and denominator will cancel out
[tex]\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}}*2 } \, du[/tex]
Since 2 is a constant
[tex]2\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}} } \, du[/tex]
Using the property: [tex]\int\limits {\frac{1}{\sqrt[]{1-x^{2}} }} \, dx[/tex] = ArcSin(x) + C
2*ArcSin(u) + C
Since u = √x :
2*ArcSin(√x) + C
This question has two parts. First, answer Part A. Then, answer Part B. Part A Fill in the blanks to complete the sentence. A taxi service charges $5.00 to ride in the vehicle and then $1.00 for each mile. Complete the table with the missing information. Distance Traveled (mi) 10 $
14 $
20 $
85 $
Listen to the complete question
Part B
Complete the statement about whether the relationship between distance traveled and the price of the trip is proportional.
The relationship , 1 of 2. proportional because the ratio of price to distance traveled is , 2 of 2. the same.
Answer:
85
Step-by-step explanation:
I need help on this one
Answer:
90
Step-by-step explanation:
you add 15 each time
75+15=90
Answer:
105
Step-by-step explanation:
sequence number x 3 = S1
S1 x 5 = S2
21 x 5 = 105
What is the opposite of -|-32|
A circle of radius 90 inches has a central angle that intercepts an arc of length 120 inches. Explain whether the measure of the central angle is 34 radians
A. The measure is not 34 radians. The measure is 32 radians because the angle measure in radians is the diameter divided by the arc length.
B. The measure is not 34 radians. The measure is 43 radians because the angle measure in radians is the arc length divided by the radius.
C. The measure of the angle is 34 radians because the angle measure in radians is the radius divided by the arc length.
D. The measure is not 34 radians. The measure is 23 radians because the angle measure in radians is the arc length divided by the diameter.
Answer:
D
Step-by-step explanation:
I really don't know not smart
Please help me! I WILL MARK BRAINLIEST
Answer:
B because you add each time starting from 3
Step-by-step explanation:
help me plz
Follow right steps
Here is the answer:
75 - 40 = t
Brainliest pls
Answer:
75=T+40
35
Step-by-step explanation:
75=T+40 subtract 40 from both sides and we get 35
I need help please I will give brainiest 10 points
Answer:
10.) 90 11.) 36
Step-by-step explanation:
HELP PLEASE I WILL MARK BRAINLIEST
Answer:
M<1 = 131
M<2 = 49
Step-by-step explanation:
1. Alternate interior angles theorem
2. 180-131 = 49
Can someone help me find X for number 4
Hey there! I know this is prob really simple and I am beginning to understand it, but my problem is
Sec 60°
Now I know all the SOH CAO TOH stuff, and things like that, I just don't understand how to find the value because it changes all the time with the right triangle and the number of their sides.
Really just need the formula on how to solve stuff.
Answer:
sec(60) = 2
Step-by-step explanation:
sec(theta) = 1/cos(theta)
theta = 60o
cos(60) = 1/2 = 0.5
sec(theta) = 1/0.5 = 2
Select from the drop-down menus to correctly complete each statement An arithmetic sequence represents a _____ function because it has a constant rate of change. As the sequence progresses, each value an in the sequence increases or decreases by a specific amount For example, the arithmetic sequence 9, 13, 17, 21, represents a ______ function because as n increases by 1, each value an increases by _____ Therefore, this arithmetic sequence ______a function
1st line :linear or nonlinear
2nd line:linear or nonlinear
3rd line: 1 , 4 or different amounts
4th line:represents or does not represent
Answer:
1st line: linear
2nd line: linear
3rd line: 4
4th line: represents
Step-by-step explanation:
Arithmetic sequences increase by the same number each time. This means they are linear, as linear functions also increase by the same number each time.
So, the first and second lines have the answer of linear.
In the arithmetic sequence given, 4 is added to the previous number as it progresses. This represents a function.
So, the third line has the answer of 4, and the fourth line has the answer or represents.
Using arithmetic sequence concepts, it is found that the lines are:
1st: linear.2nd: linear.3rd: 4.4th: representsWhat is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of the sequence is given by:
[tex]a_{n+1} = a_1 + (n-1)d[/tex]
Hence, an arithmetic sequence is also a linear function with rate of change d.
In this problem:
The sequence is: 9, 13, 17, 21.The rate of change is of 4, as when n increases by 1, each value increases by 4.Hence, the lines are completed by:
1st: linear.2nd: linear.3rd: 4.4th: representsYou can learn more about arithmetic sequence concepts at https://brainly.com/question/25433204
The abbreviation for interquartile range is IQR.
A
False
B
True
Answer:
B, True
Step-by-step explanation:
Answer:
B)True
Step-by-step explanation:
IQR= Interquartile Range
Please help asap!! I need help
simplify the expression -1\2(-5\6+1\3)
please helpppp
Answer:
1/4
Step-by-step explanation:
1. Solve the parentheses
(-5/6+1/3)
(-5+2/6) 6 is common multiple for 3 and 6
-3/6
-1/2
2. Multiply
-1/2*-1/2
1/4
Hope this helps
Have a great day!
WILL MARK BRAINLISTT!!!! HELP ME PLEASE 73 points!!!!!
Answer
A and D
Step-by-step explanation:
Since the 7 squared is 49 and 8 squared is 64 both the square root of 50 and 60 will be between 7 and 8.
Find the area of the shape below.
11 cm
14 cm
9 cm
20 cm
Answer: A = 235 cm²
Step-by-step explanation: The figure has not a regular shape, but we can divide it to other figures that are easier to calculate the area.
For example, we can divide this figure in 2:
1) A square of side 9;
2) A rectangle of sides 14 and 11;
The image below represents what it is described.
Area of quadrilateral is calculated as A = length x width
Since both rectangle and square are quadrilateral, area of each will be
[tex]A_{square}[/tex] = 9.9
[tex]A_{square}[/tex] = 81
[tex]A_{rectangle}[/tex] = 11.14
[tex]A_{rectangle}[/tex] = 154
The area of the shape is the sum of each part we calculated:
[tex]A_{total}[/tex] = 154 + 81
[tex]A_{total}[/tex] = 235
The area of the shape is 235 cm².
Joe is running after Bob. In a minute Joe does 60 steps, which makes up 3/16 of the number of steps, which Bob does in a minute. The length of Bob's step is 25 cm which makes up 5/24 the length of joe's step. With what speed do Bob and Joe run with what speed does the distance between them change? what will it become in 10 minutes, if right now bob is in front of joe by ten meters?
Joe is going with a speed of ____
cm per minute. Bob is going with a speed of ____
cm per minute. The distance between them changes with ____
cm per minute. The distance will become _____
cm in 10 minutes. _____
Answer:
Joe is going with a speed of 7200
cm per minute. Bob is going with a speed of 8000
cm per minute. The distance between them change with 800
cm per minute. The distance will become 9000
cm in 10 minutes
Answer:
7200 8000 800 and 9000
Step-by-step explanation:
L
Anybody wanna help volunteer?
I'm not quite sure how to solve this problem. Note I do understand the problem if it was like this 7π/4 because you would do 7/4 times 180 which would be 315. But now since there is not an number in from of π/-12 i'm confused.
Answer:
the answer is -90degrees
Step-by-step explanation:
DO substitite 180 for pie and do -180/2 and get -90 degrees
Choose the best graph that represents the linear equation: -2y = x + 6
First relevant answer will get brainliest award
Answer:
graph A
Step-by-step explanation:
it goes through -6 and -3
Find the product. Your answer must be in simplest form.
7/8 of 56
Answer:
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
56
1
So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
7 x 56
8 x 1
=
392
8
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.
We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.
392/8 = 49
8/8 = 1
When we put that together, we can see that our complete answer is:
49
1
The complete and simplified answer to the question what is 7/8 of 56 is:
49
Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.
Step-by-step explanation:
Answer:
forty nine
Step-by-step explanation:
convert 56 into a fraction (56/1) then multiply 7/8 × 56/1. it equals out to 392/8. then find the GCF of 392 and 8, which is 8. now divide boht the new numerator and denominator by 9 to simplify it to lowest terms. 49 is the answer
Pls help my teacher sucks
What is the volume of this figure? Round to the nearest hundredth.
Answer:
I believe the volume is 80 cubic centimeters.
Step-by-step explanation:
V = volume
B = base
H = height
V = BH
V = (4) 20
V = 80
10.You can buy 5 stickers for $3. How many stickers could you buy for $12 if the price remains proportional?
20
12
10
15
Bill sees two boxes of baseball cards at a card show. The first box has 150 cards for $12.55.The second box has 120 cards for $9.60. The cards in which box are cheaper?
Answer: Cards in second box are cheaper.
Step-by-step explanation:
We are told that the first box has 150 cards for $12.55. Therefore, the cost of one card would be:
= $12.55 / 150
= $0.084.
The second box has 120 cards for $9.60. Therefore, the cost if one card would be:
= $9.60 / 120
= $0.08
Therefore, the cards in the second box are cheaper.
Find three solutions to the linear equation 4x+y=20
Answer:
[tex](0,20),(1,16),(2,12)[/tex]
Step-by-step explanation:
[tex]We\ are\ provided\ with\ the\ equation:\\4x+y=20\\In\ order,\ to\ find\ solutions\ to\ a\ linear\ equation\ in\ two\ variables,\ we\\ usually\ substitute\ a\ value\ to\ either\ the\ abscissa or\ the\ ordinate\ to\ get\\ the\ corresponding\ ordinate\ or\ the\ abscissa.\\Hence,\\Here,[/tex]
[tex]Let's\ plug\ in\ simpler\ value's\ of\ 0,1,2\ as\ the\ x-co-ordinate\ to\ obtain\ it's\\ y-coordinate.\\Hence,\\Coming\ back\ to\ our\ equation:4x+y=20\\Substituting\ x=0,\\4*(0)+y=20\\y=20\\Hence,\\x=0,y=20\ or\ (0,20)\ is\ a\ solution\ of\ the\ equation.[/tex]
[tex]Substituting\ x=1,\\4*(1)+y=20\\4+y=20\\y=20-4=16\\Hence,\\x=1,y=16\ or\ (1,16)\ is\ also\ a\ solution\ of\ the\ equation.[/tex]
[tex]Substituting\ x=2,\\4*(2)+y=20\\8+y=20\\y=20-8=12\\ Hence,\\x=2,y=12\ or\ (2,12)\ is\ a\ solution\ of\ the\ equation\ too.[/tex]
[tex]Hence,\ collecting\ all\ the\ solutions\ of\ the\ equations:\\(0,20),(1,16),(2,12)\ are\ all\ solutions\ of\ the\ given\ equation.\\[/tex]
2(x + 5) = -10x + 34
Answer: X = 2
Step-by-step explanation: calculator