A (1,3) is a solution to the system of inequalities
Determine the measure of the angles.
Answer:
121 for both
Step-by-step explanation:
if we split the shape in the middle, we get two congruent triangles.
divide each angle by 2, and you will get 24 and 35.
The rule of angles within a triangle is that all of them must equal 180.
so
180-(24+35)
180-59
=121 degrees for both k and m
:)
Answer:
The answer is 121 for both k and m!! Hope this helps
Step-by-step explanation:
Add 70 and 48 which is 118 then subtract it to 360(always) which is 242 then divide it by 2 since theres 2 sides which you get 121
When Johan calculates how much interest he must pay, he calculates as follows: SEK 0.045-620,000 = SEK 6,975/4
a) What is the interest rate? How are you thinking?
b) Why does Johan divide by 4?
Answer:
its b
Step-by-step explanation:
75 is 12 more than a number k.
Answer:
So k is 75-12=63
Answer:
63
Step-by-step explanation:
subtract 75 from 12
5(2x-2)=8x: what is the value of x?
Answer:
5
Step-by-step explanation:
First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:
10x-10=8x
And here’s how you find x:
10x-10=8x
-10x -10x
-10x=-2x
/-2x /-2x
x=5
Please help! If possible please show your work :D Thank you!
Solve.
Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms
4.1 Pull out like factors :
10x + 36 = 2 • (5x + 18)
Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:
5.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 5x+18 = 0
Subtract 18 from both sides of the equation :
5x = -18
Divide both sides of the equation by 5:
x = -18/5 = -3.600
how to tell if an equation is linear without graphing
Answer:
A linear equation has the greatest x power at 1.
If you see an equation with only x (no x^2 or x^3 or stuff like that), you will know that it is linear.
Given the curve [tex]\displaystyle \large{y=e^{-x}\sin x \ \ (x\geq 0)[/tex] let the area enclosed by the curve and the x-axis (above the x-axis) be S0, S1, S2, ... , Sn, ... in order from y-axis. Find [tex]\displaystyle \large{ \lim_{n \to \infty} \sum_{k=0}^{n} S_k}[/tex]
The given curve crosses the x-axis whenever x is a multiple of π, and it lies above the x-axis between consecutive even and odd multiples of π. So the regions with area S₀, S₁, S₂, ... are the sets
[tex]R_0 = \left\{(x, y) : 0 \le x \le \pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
[tex]R_1 = \left\{(x, y) : 2\pi \le x \le 3\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
[tex]R_2 = \left\{(x, y) : 4\pi \le x \le 5\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
and so on, with
[tex]R_k = \left\{(x, y) : 2k\pi \le x \le (2k+1)\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
for natural number k.
The areas themselves are then given by the integral
[tex]S_k = \displaystyle \int_{2k\pi}^{(2k+1)\pi} \int_0^{e^{-x}\sin(x)} dy \, dx = \int_{2k\pi}^{(2k+1)\pi} e^{-x}\sin(x) \, dx[/tex]
Integrate by parts twice. Take
[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]
[tex]dv = \sin(x) \, dx \implies v = -\cos(x)[/tex]
so that
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - \int e^{-x}\cos(x) \, dx[/tex]
then
[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]
[tex]dv = \cos(x) \, dx \implies v = \sin(x)[/tex]
so that
[tex]\displaystyle \int e^{-x}\cos(x) \, dx = e^{-x}\sin(x) + \int e^{-x}\sin(x) \, dx[/tex]
Overall, we find
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - e^{-x}\sin(x) - \int e^{-x}\sin(x) \, dx[/tex]
or
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -\frac12 e^{-x} (\cos(x)+\sin(x)) + C[/tex]
Using the antiderivative and the fundamental theorem of calculus, we compute the k-th area to be
[tex]\displaystyle S_k = -\frac12 e^{-(2k+1)\pi} (\cos((2k+1)\pi)+\sin((2k+1)\pi)) + \frac12 e^{-2k\pi} (\cos(2k\pi)+\sin(2k\pi))[/tex]
[tex]\displaystyle S_k = \frac12 e^{-2k\pi} \cos(2k\pi) \left(e^{-\pi} + 1\right)[/tex]
[tex]\displaystyle S_k = \frac{e^{-\pi}+1}2 e^{-2k\pi}[/tex]
Since [tex]\left|e^{-2\pi}\right|<1[/tex], the sum we want is a convergent geometric sum. As n goes to ∞, we have
[tex]\displaystyle \lim_{n\to\infty} \sum_{k=0}^n S_k = \frac{e^{-\pi}+1}2 \cdot \frac1{1 - e^{-2\pi}} = \boxed{\frac{e^\pi+1}{4\sinh(\pi)}}[/tex]
You might need: 3 Calculator
2
Find the area of the shape.
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
units?
Answer:
90/360 x 3.14 x [tex]2^{2}[/tex]. (put into calculator)
Step-by-step explanation:
This is a sector of a circle we can see that there is a right angle (90 degrees) so we can say there is 90/360 of a circle.
The formula for the area of a circle is pi times radius squared.
We can use this but also need to use 90/360.
We can say the area of the shape is 90/360 x 3.14 x [tex]2^{2}[/tex].
Pls answer these two questions
Answer:8 and 22
Step-by-step explanatio
PLS help its the last question
Answer:
D
Step-by-step explanation:
Solve for h. (h − 8)(h + 2) = 0
Answer:
donwload the gautmaht this is very powerful calculator to math problems
Step-by-step explanation:
make this is helpful too you
Vincent saves $8 each week. How much does he save in a year?
$56
$60
$416
$2960
Answer:
$416
Step-by-step explanation:
weeks in a year is 52 weeks
52×8=416$
What is the value of the expression Negative 225 divided b (negative 15)?
What is the value of the expression 30 divided by (negative 6)?
Answer:
-15-5Step-by-step explanation:
What is the value of the expression Negative 225 divided b (negative 15)?
What is the value of the expression 30 divided by (negative 6)?
I answer for what I understand
-225 : 15 = - 15
30 : (- 6 ) = -5
At the gym, Hillary swims every 6 days and runs every 4 days. If she did both activities today, in how many days will she do both activities again on the same day?"
Answer:
we know that
Hillary
swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54
runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48
cycles every 16 days---> Multiples of 16---> 16-32-48-64
therefore
In 48 days she will do all three on the same day.
the answer is
48 days
Step-by-step explanation:
Please hurry and help
15 points
Answer:
A
Step-by-step explanation:
Seems like a reasonable answer choice
helppppp meee pleaseeeee !!!!! :(
Answer:
70°
Step-by-step explanation:
the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°
x is 180 - y = 180-110 = 70°
Answer pls in standard form too
Answer:
a)
Slope form y=2x+3
Standard form 2x-y=-3
b)
Slope y=3/5x-6
Standard 3x-5y=30
c)
slope y=-3/2x+9
standard 3x+2y=18
d)
slope y=-3x+0
standard = 3x+y=0
Step-by-step explanation:
a)
Slope form y=2x+3
Standard form 2x-y=-3
b)
Slope y=3/5x-6
Standard 3x-5y=30
c)
slope y=-3/2x+9
standard 3x+2y=18
d)
slope y=-3x+0
standard = 3x+y=0
Brianna received an overall IQ score of 117 on the Wechsler Scale. This means that Brianna has scored approximately____________ standard deviation above the mean IQ score of ____________. A. 2; 90 B. 1; 110 C. 2; 75 D. 1; 100
Using the normal distribution, it is found that the correct option is:
D. 1; 100In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.In this problem:
The mean on the Wechsler Scale is of 100, hence [tex]\mu = 100[/tex].The standard deviation is of 17, hence [tex]\sigma = 17[/tex].Brianna had an score of 117, hence [tex]X = 117[/tex]Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{117 - 100}{17}[/tex]
[tex]Z = 1[/tex]
Hence, the option d is correct.
To learn more about the normal distribution, you can check https://brainly.com/question/24663213
5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)
Answer
A
Step-by-step explanation:
The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
What is an arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given series is -4, -1, 2, 5, 8. The common difference of the series is calculated as,
d = -1 - ( -4 )
d = -1 + 4
d = 3
The equation will be written as,
an = a₁ + d(n - 1)
an = -4 + 3(n - 1)
Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
To know more about arithmetic progression follow
https://brainly.com/question/6561461
#SPJ2
find the area of this shape
please
Total area = 12 + 18 = 30cm²
Answer:
Area of the right angled triangle:-
= height × base ÷ 2
= 4 cm × 6 cm ÷ 2
= 4 cm × 3 cm
= 12 cm²
Area of the rectangle:-
= length × breadth
= 6 cm × 3 cm
= 18 cm²
Area of the figure:-
= 12 cm² + 18 cm²
= 30 cm²
Find the output for f(x) = -3 |2x - 9| + 4.
When x = -5
SHOW EVERY STEP!
Hey there!
f(x) = -3|2x - 9| + 4
y = -3|2x - 9| + 4
y = -3|2(-5) - 9| + 4
y = -3|-10 - 9| + 4
y = -3|19| + 4
y = -57 + 4
y = -53
Therefore, your answer should be: f(x) = -53
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Write 2^40 as a power with the following base
a) 2^2
b)2^5
c)2^8
d)2^10
Answer:
2^2×20
Step-by-step explanation:
2^2×20
because 2×20=40
so, 2^2×20=2^40
The Following are the representation of [tex]2^{40[/tex] as a power in different bases
a) [tex]2^{ 2 * 20}[/tex]
b) [tex]2^{ 5 * 8}[/tex]
c) [tex]2^{ 8 * 5}[/tex]
d) [tex]2^{ 10 * 2}[/tex]
What are Exponents and power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.
Given:
[tex]2^{40[/tex] as a power
so, writing the above in given bases
a) 2²
= [tex]2^{ 2 * 20}[/tex]
= [tex]2^{40[/tex]
b)[tex]2^5[/tex]
= [tex]2^{ 5 * 8}[/tex]
= [tex]2^{40[/tex]
c) [tex]2^8[/tex]
= [tex]2^{ 8 * 5}[/tex]
= [tex]2^{40[/tex]
d) [tex]2^{10[/tex]
= [tex]2^{ 10 * 2}[/tex]
= [tex]2^{40[/tex]
Learn more about exponents and power here:
https://brainly.com/question/15722035
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Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.
Answer: there you go
Step-by-step explanation:
The difference between a number and 16 is 49.
ANYBODY KNOW THE ANSWER?~
Hey there!
GUIDE
• The word “sum” means add
• The word “difference” means subtract
• The word “product” means multiply
• The word “quotient” means divide
• The word “is” means equal to
• The “unknown number” is a variable that is not known. So people usually label it as a variable until they figure out what the unknown value is.
Now that we have that information out the way we can solve for your given question.
“The [DIFFERENCE] between [a number] & 16 [is] 49
Lets break it down
• DIFFERENCE (between) = subtract☑️
• A NUMBER = UNKNOWN (so we will label it is as “n”]☑️
• 16 will stay the same because NOTHING was done to it!
• IS = is equal to☑️
We have the key terms out of the way so now we met our answer
ANSWER:
“n - 16 = 49”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
12 red cars is what part of 48 total cars
Answer: 1/4
Step-by-step explanation: i think it is 1/4 bc 48 is the total and 12 can go in 48 4 times
i hope this helped have a good day
This means that 12 cars are green,12 cars are blue,and 12 cars are yellow/white. which means there are 4 groups of cars which all together equals 48 which is 48 divided by 12 equals 4 or just do 12 +12+12+12+48 or
4+4+4+4+4+4+4+4+4+4+4+4=48
Meaning there are 4 groups and 12 is 1 part of them which makes 1/4
Plz help I really need help, I’m gonna give brainlist
Answer:
angle 4 is 47 degrees....
cupcakes The equation y = 2x models the cost for cookie orders from the Dotted Box Bakery, where x is number of cookies and y is cost in dollars. What is the cost per cookie?
Answer:
y=-4x+16
Step-by-step explanation:
5x+1.25=20
y=4x
5x+1.25y=20 y=4x
1.25y=-5x+20
1.25y/1.25=-5x+20/1.25
Can you convert the stander linear equation 5x-3y=15 into slope intercept form?
Answer: y = (5/3)x - 5
Step-by-step explanation:
5x-3y=15
-3y = -5x + 15
y = (5/3)x - 5
Answer:
In slope intercept form, I think it would be y=5/3x-5
Step-by-step explanation:
5x-3y=15
-subtract 5x on both sides-
-3y=-5x+15
-divide by -3 on both sides-
y=-5/-3x+15/-3
(the negatives on -5/-3 cancel each other out leaving you with a positive 5/3)
y=5/3x-5
Im not sure if all calculations are correct, but i hope this helps! :)
how to find a and b in the equation below.
3(a+b)=28
we have: 3(a+b)=28 => a + b = 28/3
=> a = 28/3 - b and b = 28/3 - a
ok done. Thank to me :>
The length of a retangle garden is 4 yards more than its width The area of the garden is 60 square yards Find the with of the garden
