Answer:
x = 136
Step-by-step explanation:
A quadrilateral always has angles that sum to 360. Thus, 47 + 95 + 82 + x = 360. Subtract 47, 95, and 82 from each side and get x = 136.
Hope it helps <3
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. (4 points) Part B: Make tables to find the solution to 2−x = 4x + 3. Take the integer values of x only between −3 and 3. (4 points) Part C: How can you solve the equation 2−x = 4x + 3 graphically? (2 points) PLez Answer 50 points
Answer:
Step-by-step explanation:
Part A:
We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:
2 - x = 4x + 3
Part B:
In order to solve the equation we need to put the like terms together. So we will add x on each side.
2 - x = 4x + 3
+x +x
So now we get:
2 = 5x + 3
Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.
2 = 5x + 3
-3 -3
So now we get:
-1 = 5x
Now that the like terms have been combined we need to find out what x alone is so we divide 5 on each side:
[tex]\frac{-1}{5}[/tex] = [tex]\frac{5x}{5}[/tex]
No we see that:
x = [tex]-\frac{1}{5}[/tex]
Is 540171 divisible by 9?
Image is attached below.
If the sum of the digits its divisible by 9,
then the original number is divisible by 9.
Since 18 (the sum of the digits) is divisible by 9,
the number 540,171 is also divisible by 9.
Answer:
Yes, The number is divisible by 9
Step-by-step explanation:
If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.
Hope this helps.
If A=2+i, O=-4, P=-i, and S=2+4i, find A-O+P+S.
==================================================
Work Shown:
A = 2+i
O = -4, this is the letter 'oh' not to be confused with the number zero
P = -i
S = 2+4i
A-O+P+S = (2+i) - (-4) + (-i) + (2+4i)
A-O+P+S = (2+i) + 4 + (-i) + (2+4i)
A-O+P+S = (2+4+2) + (i-i+4i)
A-O+P+S = 8+4i
If the number of bacteria in a colony doubles every 10 hours and there is currently a population of 300 bacteria, what will the population be 20 hours from now?
Answer:
1200 bacteria
Step-by-step explanation:
20 hours divided by 10 hours = 2, so it will be doubled two times.
300 times 2 for the first doubling = 600
600 times 2 for the second doubling = 1200
The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached
In the 5th year
Step-by-step explanation:For the first year, the salary is 1.2million = 1,200,000
For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000
.
.
.
For the last year, the salary is 1.5million = 1,500,000
This gives the following sequence...
1,200,000 1,275,000 . . . 1,500,000
This follows an arithmetic progression with an increment of 75,000.
Remember that,
The last term, L, of an arithmetic progression is given by;
L = a + (n - 1)d ---------------(i)
Where;
a = first term of the sequence
n = number of terms in the sequence (which is the number of years)
d = the common difference or increment of the sequence
From the given sequence,
a = 1,200,000 [which is the first salary]
d = 75,000 [which is the increment in salary]
L = 1,500,000 [which is the maximum salary]
Substitute these values into equation (i) as follows;
1,500,000 = 1,200,00 + (n - 1) 75,000
1,500,000 - 1,200,000 = 75,000(n-1)
300,000 = 75,000(n - 1)
[tex]\frac{300,000}{75,000} = n - 1[/tex]
4 = n - 1
n = 5
Therefore, in the 5th year the maximum salary will be reached.
Can someone help me with this question please?
Answer:
If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.
Therefore, the ratio would be 345:575.
Hope this is right and helps :)
There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.
Answer:
110
Step-by-step explanation:
There are 200 people in a cinema- This is our total amount.
25 % of the people are men.
.25 times 200= 50
There are 50 men.
1/5 (20%) of the people are women.
.2 times 200 = 40
There are 40 women.
50+40 = 90
There are 90 adults in the cinema.
If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.
The percentage is 55%.
The simplified fraction is 11/20.
The decimal is .55
Solve this a² ÷ a⁴ × a²
Step-by-step explanation:
a^4 - a^4 = (a^2 +a^2)(a^2-a^2)
a^4 - a^4 = (a^2 + a^2)(a+a)(a-a)
there is no need of this solution, because it equal to 0 because a^4 - a^4 will be equal then it will be 0
i hope this will help you
Answer:
Hello There!
~~~~~~~~~~~~~~~
a² ÷ a⁴ × a² =
1
Step-by-step explanation: Simplify the expression.
Hope this helped you! Brainliest would be nice!
☆_____________❤︎______________☆
An insurance company models the number of warranty claims in a week on a particular product that has a Poisson distribution with mean 4. Each warranty claim results in a payment of 1 by the insurer. Calculate the expected total payment by the insurer on the warranty claims in a week.
Answer:
4 monetary units
Step-by-step explanation:
In a Poisson distribution, the expected value of the distribution is the same as the mean:
[tex]E(X)=\mu=4\ claims[/tex]
The expected number of warranty claims is 4.
Since each claim results in a payment of 1, the expected value paid by the insurer is:
[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]
The expected total payment on warranty claims is 4 monetary units.
I need help with this it’s URGENT!
Answer:
y = -7
Step-by-step explanation:
A horizontal line has an equation of the form
y = b,
where b = y-intercept
The y-intercept is -7, so the equation is
y = -7
Answer:
Y=-7
Step-by-step explanation:
No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).
Find the area of a trapezoid with bases of 5 feet and a 7 feet, and a height of 3 feet a. 18 b. 36 c. 72 d. 40
Answer:
The answer is option A. 18Step-by-step explanation:
Area of a trapezoid = 1/2(a + b) × h
where
h is the height
a and b are the other sides
From the question
h = 3 feet
a = 5 feet
b = 7 feet
Area = 1/2(5+7) × 3
= 1/2 ( 12) × 3
= 6 × 3
The answer is
= 18
Hope this helps you.
PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full detail the process, im trying to learn how to do these) thank you!!
Answer:
120.7
Step-by-step explanation:
The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].
Using the formula I got 120.7(rounded).
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
We have,
To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:
Area = 2 * (1 + √2) * (Side Length)²
Plugging in the values:
Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²
Therefore,
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
Learn more about octagons here:
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When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number
Answer:
d: Routing number
Step-by-step explanation:
To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.
Which of the following are solutions to the quadratic equation? Check all that
apply.
2x2 + 7x- 14 = x2 + 4
Answer:
[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]
Step-by-step explanation:
hello,
[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]
hope this helps
The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?
Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function [tex]f(x)=x^3[/tex], and then transform it into the function: [tex]g(x)=(x-4)^3-7[/tex]
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)
Answer:4, -7
Step-by-step explanation:
Which statements are true regarding the diagram? Check all that apply.
The side opposite the 60° angle has a length of
The side opposite the 60° angle has a length of .
sin(60°) =
sin(60°) =
The other acute angle of the triangle is 30°.
Answer:
A. The side opposite the 60° angle has a length of √3/2
C.Sin(60°)=√3/2
E.The other acute angle of the triangle is 30°
Step-by-step explanation:
The diagram has been attached to the answer
A. The side opposite the 60° angle has a length of
B. The side opposite the 60° angle has a length of .
C. sin(60°) =
D. sin(60°) =
E. The other acute angle of the triangle is 30°.
Answer
The side opposite the 60° angle has a length of the square root of 3/2
Opposite side of the 60° angle has a length of √3/2
sin(60°) = the square root of 3/2
Sin(60°)=√3/2
The other acute angle of the triangle is 30°
Proof:
Total angle in a triangle=180°
180°-60°-90°
=30°
Answer:
A, D, E
Step-by-step explanation:
I do is big smart
Hey everyone, can you please help me with this question? THANKS!
Answer:
6 granite, 3 marble, 14 sandstone, 1 slate
ratio of sandstone to marble
how many sandstone does she have .....14
how many marble does she have......3
so the ratio would be 14:3
Answer:
C. 14:3
Step-by-step explanation:
Dana has 14 pieces of sandstone.
Dana has 3 pieces of marble.
The ratio of pieces of sandstone to pieces of marble is 14:3.
The ratio cannot be simplified further.
A football field is a rectangle 48m wide and 91m long. The coach asks players to run diagonally across the field. How far did the players run?
Answer:
102.88 m
Step-by-step explanation:
Pythagorean Theorem:
a²+b²=c²
48²+91²=c²
2304+8281=10585
c²=10585
Square both sides
c= 102.88
How far the players ran:
102.88 m
how to do this question plz
Answer:
adult = £7 and child = £2
Step-by-step explanation:
let a represent adult ticket and c child ticket, then
2a + 3c = 20 → (1)
a + 4c = 15 → (2)
Multiply (2) by - 2 and add to (1) to eliminate a
- 2a - 8c = - 30 → (3)
Add (1) and (3) term by term
- 5c = - 10 ( divide both sides by - 5 )
c = 2
Substitute c = 2 into either of the 2 equations and solve for a
Substituting into (1)
2a + 3(2) = 20
2a + 6 = 20 ( subtract 6 from both sides )
2a = 14 ( divide both sides by 2 )
a = 7
Cost of adult ticket is £7 and child ticket is £2
what is two plus two
Answer:
4 is the answer to your question
Step-by-step explanation:
Help !!!! Match the written mathematical operation to the equivalent symbolic form
Answer:
The matched pairs are:
(A, 4), (B, 1), (C, 2) and (D, 3)
Step-by-step explanation:
The complete question is:
Match each description of an algebraic expression with the symbolic form of that expression :
A. 2 terms; variables = x and y
B. 3 terms; variables = x and y; constant = 3
C. 2 terms; variable = x; constant = 4.5
D. 3 terms; variables = x and y; constant = 2
1. x - 2y + 3
2. 4.5 - 2x
3. 4.5x + 2 - 3y
4. 4.5y - 2x
Solution:
A. 2 terms; variables = x and y ⇒ 4. 4.5y - 2x
B. 3 terms; variables = x and y; constant = 3 ⇒ 1. x - 2y + 3
C. 2 terms; variable = x; constant = 4.5 ⇒ 2. 4.5 - 2x
D. 3 terms; variables = x and y; constant = 2 ⇒ 3. 4.5x + 2 - 3y
Which graph represents this system? y = one-half x + 3. y = three-halves x minus 1 On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2). On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1). On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0). On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).
Answer:
it is A or the first one
Step-by-step explanation:
The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.
Two equation of lines is given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.
A line can be defined by a shortest distance between two points is called as a line.
Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).
Thus, The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.
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explain how to solve 2x+9=15
Answer:
I hope it will help you :)
The perimeter of a triangular field is 84 m, if the ratio of its sides are 13: 14:15, Find the area of the field. *
Answer:
[tex]Area = 336\ m^2[/tex]
Step-by-step explanation:
If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.
Then, if the perimeter is 84 m, we have:
[tex]P = 13x + 14x + 15x = 84[/tex]
[tex]42x = 84[/tex]
[tex]x = 2[/tex]
The length of each side is:
[tex]13x = 26\ m[/tex]
[tex]14x = 28\ m[/tex]
[tex]15x = 30\ m[/tex]
Now, to find the area of the field, we can use the following formula:
[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}[/tex]
Where a, b and c are the sides and p is the semi perimeter:
[tex]p = P/2 = 42\ m[/tex]
So we have that:
[tex]Area = \sqrt{42(42-26)(42-28)(42-30)}[/tex]
[tex]Area = 336\ m^2[/tex]
expand the following 4 (x - 1)
Answer:
4x - 4
Step-by-step explanation:
4 × x = 4x
4 × -1 = -4
4x - 4
Answer:
4x-4
Step-by-step explanation:
4(x-1) 4*x-1*44x-4An archeologist in Turkey discovers a spear head that contains 27% of its original amount of C-14
Answer:
it is 13093 i got it correct
In 2008 a newspaper sold 120 thousand papers, and had 60 thousands people reading online. Their online readership has been increasing by 8 thousand people each year, while their physical paper sales have decreased by 6 thousand papers a year. In what year does online readership exceed physical sales?
Answer:
t = 5 years
online readership will exceed physical sales in 5 years
Step-by-step explanation:
The number of physical readership can be represented by the equation;
P(t) = 120 - 6t
The number of Online readership can be represented by the equation;
K(t) = 60 + 8t
For online readership to exceed physical sales
K(t) > P(t)
60 + 8t > 120 - 6t
Collecting the like terms;
8t+6t > 120-60
14t>60
t > 60/14
t > 4.29
To the nearest year greater than 4.29.
t = 5 years
online readership will exceed physical sales in 5 years
what is this answer 4\5+2\10
Answer:
1
Step-by-step explanation:
To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.
Answer:
1 or 10/10
Step-by-step explanation:
Step 1 make a common denominator
to make a common demoniator multiply the top and bottom number by the same number
so multiply the 4 and 5 by 2 to get 8/10
Step 2 now that you have 8/10 add it with 2/10
Step 3 solve to get 10/10 and then simplify it to 1
can some body help me plz
Answer:
Length of each side of the square = 8 cm
Step-by-step explanation:
In the figure attached, diagrams of a right triangle and a square have been given.
"Area of the square is twice the area of the triangle."
Let one side of the square = x cm
Therefore, area of the square = x²
Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(16)(4)[/tex]
= 32 cm²
Therefore, x² = 2 × 32
x² = 64
x = 8 cm
Therefore, length of each side of the square will be 8 cm.
The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is?
Answer:
12.56 [tex]cm^2[/tex] is the error in area of circle.
Step-by-step explanation:
Given that:
Radius of the circle, r = 10 cm
Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm
To find:
The error in area of circle = ?
Solution:
First of all, let us have a look at the percentage error in measurement of radius:
[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]
Now, we know that Area of a circle is given as:
[tex]A = \pi r^2[/tex]
[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]
Area according to r = 10
[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]
Now, error in area = 4% of 314 [tex]cm^2[/tex]
[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]
So, the answer is:
12.56 [tex]cm^2[/tex] is the error in area of circle.