what is the value of x ?
Enter your answer in the box . ° ?
Answer:
307°
Step-by-step explanation:
The sum of all the angles of a hexagon is equal to 900°.
So,
112+x+120+100+128+133 = 900
593+x = 900
x = 900-593
x = 307°
So, the value of x is equal to 307°.
help
What are the solutions to the following system of equations? y = x2 + 8x + 12 3x + y = −6
The solutions for the given system of equations are (-9, 33) and(-2, 12).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).
Here, y=-6-3x in the equation (i), we get
-6-3x=x²+8x+12
x²+8x+12+6+3x=0
x²+11x+18=0
Splitting middle term method, we get
x²+9x+2x+18=0
x(x+9)+2(x+9)=0
(x+9)(x+2)=0
x=-9 or x=-2
Substitute x=-9 in the equation (ii), we get
y=-6-3(-9)
y=33
Substitute x=-2 in the equation (ii), we get
y=-6-3(-2)
y=12
So, solutions are (-9, 33) and(-2, 12)
Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).
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A company had inventory of 5 units at a cost of $20 each on November 1. On November 2, it purchased 10 units at $22 each. On November 6 it purchased 6 units at $25 each. On November 8, it sold 18 units for $54 each. Using the LIFO perpetual inventory method, what was the cost of the 18 units sold?
Using the LIFO perpetual inventory method, the cost of the 18 units sold is $420.
The perpetual inventory strategy known as LIFO (Last In, First Out) is predicated on the idea that the most recent inventory purchases are sold first.
In order to account for the number of units sold, we use this method to count backward from the most recent inventory acquisition.
The business sold 18 units on November 8, which is more than its most recent purchase of 6 units on November 6. Therefore, starting with a total of 18 units, we first use the 10 units from the November 2 purchase and the 8 units from the November 6 buy.
10 units were bought on November 2 for a total of $220, or $22 each unit. The 8 pieces that were bought on November 6 cost $25 apiece, for a total of $200. Hence, $220 plus $200 equals $420 for the 18 units that were sold.
The cost of the 18 sold units, calculated using the LIFO perpetual inventory approach, is $420.
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Determine the equation of the circle graphed below.
Answer:
(x - 2)² + (y + 4)² = 29
Step-by-step explanation:
Standard form
(x - h)² + (y - k)² = r²
(h, k) is the center and ris the radius
-----------------------------------
For center (2, -4)
(x - 2)² + (y + 4)² = r²
use the distance formula to find d² which is the same as r²
r² = d² = (x2 - x1)² + (y2 - y1)²
r² = (4 - 2)² + (1 - -4)²
r² = 2² + 5²
r² = 29
Now the equation becomes
(x - 2)² + (y + 4)² = 29
Which function does this graph represent ?
Answer: B
Step-by-step explanation:
a is negtive bcs grph opens down. h value is -1 and k is +2
J(-6-2)3-*NWMark this and return2--9-8-7-6-5-4-3-2-3₁ 1 2 3 4 5 61-5737-2-cd-6--7--8-2 do-9--10--11--12--13-8 9 10 11 xK(8,-9)What is the x-coordinate of the point that divides thedirected line segment from J to K into a ratio of 2:5?X == (m²²7 m )(x₂ − ×₁) + X₁m+n0 000-22Save and ExitNextSubmit
Use the given formula:
\(x=(\frac{m}{m+n})(x_2-x_1)+x_1\)Being m: 2 and n: 5
x1: -6
x2: 8
\(\begin{gathered} x=(\frac{2}{2+5})(8-(-6))+(-6) \\ \\ x=\frac{2}{7}*(14)-6 \\ \\ x=4-6 \\ \\ x=-2 \end{gathered}\)Then, the x-coordinate of th point that divides the directed line segment from J to K into a ratio 2:5 is -2Answer: -2Rin spends $20 every week on drum lessons.
The two variables are:
d = total amount of dollars Rin spends
w = number of weeks
Which statements are correct? Select all that apply.
The independent variable causes a change in the
dependent variable.
The equation is d = 20w.
The equation is w = 20d.
D As the number of weeks increases, the total dollars
Rin spends increases.
As the number of weeks increases, the total dollars
Rin spends decreases.
1213
weeks
(w)
dollars
(d)
20
40
60
80
Answer:
A, B , D edge 2020
Step-by-step explanation:
Answer:
Its A, B, and D.
Step-by-step explanation:
wait, have you smiled today? its very important:)
TOPIC=Rearranging
Task:Make x the subject of these equations
6x + v = 4x + w
ax + 9 = 2x + b
7x - w = vx+4
6 - wx = vx + 4
3(wx-v) = 4(x+v)
All the solutions are,
⇒ x = 1/2 (w- v)
⇒ x = (b - 9)/(a - 2)
⇒ x = (4 + w) / (7 - v)
⇒ x = 2 / (v + w)
⇒ x = 7v/(3w - 4)
Given that;
Expressions are,
⇒ 6x + v = 4x + w
⇒ ax + 9 = 2x + b
⇒ 7x - w = vx+4
⇒ 6 - wx = vx + 4
⇒ 3(wx - v) = 4(x + v)
We can simplify as;
⇒ 6x + v = 4x + w
⇒ 6x - 4x = w - v
⇒ 2x = w - v
⇒ x = 1/2 (w- v)
⇒ ax + 9 = 2x + b
⇒ ax - 2x = b - 9
⇒ (a - 2)x = b - 9
⇒ x = (b - 9)/(a - 2)
⇒ 7x - w = vx+4
⇒ 7x - vx = 4 + w
⇒ (7 - v) x = 4 + w
⇒ x = (4 + w) / (7 - v)
⇒ 6 - wx = vx + 4
⇒ vx + wx = 6 - 4
⇒ (v + w)x = 2
⇒ x = 2 / (v + w)
⇒ 3(wx - v) = 4(x + v)
⇒ 3wx - 3v = 4x + 4v
⇒ 3wx - 4x = 7v
⇒ (3w - 4)x = 7v
⇒ x = 7v/(3w - 4)
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Question 1-3
Which gives the exact value of the equation 15x=3?
Answer:
The value of x in 15x=3, is 1/5 or 0.2
Select the correct answer from each drop-down menu.
Consider right triangle ABC.
A
sin(A) =
cos(A) =
Reset
40
41
11
=
Next
B
9
C
Answer:
sinA =9/41. CosA=40/41
Step-by-step explanation:
in right triangles, the sine, cosine and tangent represent ratios of the sides of a triangle. Sine of an angle is the ratio of the side opposite the angle divided by the hypotenuse and the cosine of the angle is side adjacent (touching) the angle divided by the hypotenuse.
The value of Sin A = 9 / 41 and the value of Cos A = ( 40 / 41).
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
here, we have,
The values of the angels will be calculated by using the trigonometry property.
Sin A = Perpendicular / Hypotenuse
Sin A = 9 /41
Cos A = Base / Hypotenuse
Cos A = 40 / 41
Therefore the value of Sin A = 9 / 41 and the value of Cos A = ( 40 / 41).
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The concentration of a drug in an organ at any time t (in seconds) is given by
C(t) =
0.25 - 15(1 - e-t/60) if Osts 20
15e-t/60 - 10e-(t - 20)/60 if t > 20
where C(t) is measured in milligrams per cubic centimeter (mg/cm3).
(a) What is the initial concentration of the drug in the organ?
0
mg/cm3
(b) What is the concentration of the drug in the organ after 10 sec? (Round your answer to three decimal places.)
mg/cm
the organ after 26 sec? (Round your answer to three decimal places.)
(c) What is the concentration of the drug
mg/cm3
Answer:
The concentration of a drug in an organ at any time t (in seconds) is given by s 0.25t - 15(1 - e-t/60) if osts 20 | 15e-t/60 – 10e-(t - 20)/60 if t> 20 where c(t) is measured in milligrams per cubic centimeter (mg/cm3). (a) What is the initial concentration of the drug in the organ? 0 mg/cm3 (b) What is the concentration of the drug in the organ after 14 sec? (Round your answer to three decimal places.) x mg/cm3 38 (c) What is the concentration of the drug in the organ after 40 sec? (Round your answer to three decimal places.) mg/cm3 Need Help? | Read It
Based on the information in the table, what
was the approximate value of this item in
1980?
Answer:
B) 4,700
Step-by-step explanation:
6000 - 4000 = 2000
2000 in 15 year, find how much for each year
2000/ 15 = 133.3333333
133.3333333 estimated = 133
133 approximately for each year
1975 to 1980 is five years
133 x 5 = 665
4000 + 665 = 4665
4665 rounded the the nearest hundred
4700
what is the product of 2/3a and (3b+2)?
\(\frac{2(3b+2)}{3a}\).
Step-by-step explanation:1. Write the expression.\(\frac{2}{3a} *(3b+2)\)
2. Apply the distributive rule of multiplication.Take a look at the attached image.
\((\frac{2}{3a} *3b)+(\frac{2}{3a} *2)\\ \\\frac{2*3b}{3a} +\frac{2*2}{3a}\\ \\\frac{6b}{3a} +\frac{4}{3a}\)
3. Add up the fractions.\(\frac{6b+4}{3a}\)
4. Factorize the numerator.\(\frac{2(3b+2)}{3a}\).
After completing the following frequency table, find the mode?
(Round your answer to 2 decimal places.)
Price
Frequency
Product Frequency
$59
7
$69
9
79
12.
$89
14
999
8
Total
"We should express our emotions in a manner that doesn't hurt others or harm our emotional well-being" Do you agree? Explain with an example. plzz help me I will the best ans brainliest ( and also this is MORAL SCIENCE)
It should be noted that we should express our emotions in a manner that doesn't hurt others. Therefore, the statement is logically true.
What is emotion?Emotion simply means the feeling that's conveyed through our words or actions.
It's important for us to consider others whenever we are doing a particular thing. Therefore, we should express our emotions in a manner that doesn't hurt others.
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Whysudushysususuajsbzgstsysyzyxyzyzusushshshshhshshshshshshshshdhdususududu
Answer:
b) -6
Step-by-step explanation:
\(2\sqrt{10+n} = 4\)
Divide both sides by 2
\(\sqrt{10+n} = 2\)
Square both sides of the equation
\(10+n=4\)
Isolate the variable
\(n = 4 - 10\)
\(4 -10 = - 6\)
\(n = - 6\)
Point S is on line segment RT.Given ST = 2x, and RT = 4x, and RS = 4x – 4,
determine the numerical length of RS
Answer:
2
Step-by-step explanation:
The required measure of the numerical length of RS is 4.
Given that,
Point S is on line segment RT.
ST = 2x, and RT = 4x, and RS = 4x – 4,
To determine the numerical length of RS.
A line is a curve showing the shortest distance between 2 points.
Standard equation of the line, y = mx + c, where m is slope of the equation and c is y-intercept of the equation.
Here,
Point S is on line segment RT
The total length of RT,
RT = RS + ST
4x = 4x - 4 + 2x
4x = 6x - 4
2x = 4
x = 2
RS = 4 x - 4
RS = 4 * 2 - 4
RS = 4
Thus, the required measure of the numerical length of RS is 4.
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Write the sum of the circumferences of all three circles in factored form.
Answer:
2π(x+y+z)
is the factorization
If you’re currently making $10.50 per hour and you’re offered a new job that pays $11.75 per hour, what will be your percent of increase in pay?
Answer: To find the percent increase in pay, you can use the following formula:
percent increase = ((new pay - old pay)/old pay) * 100
Plugging in the values given in the question, you get:
percent increase = ((11.75 - 10.50)/10.50) * 100
= (1.25/10.50) * 100
= 0.119047619 * 100
= 11.9047619%
Therefore, the percent increase in pay is approximately 11.9%.
Step-by-step explanation:
N
3
Two friends, Andrew and Liz, are playing a game using this spinner. If the
spinner lands on region 1, Andrew wins. If it lands on region 2, Liz wins. If it
lands on region 3, nobody wins.
Is this a fair game?
Answer:
The answer is B both players have 1/4 of chance of winning so it is a fair game
Step-by-step explanation:
What is the estimated sum of fifty-five, sixty, and sixty-five using compatible numbers?
Answer:
escapingdatprison445
A median of a triangle may fall outside the triangle.
Answer:
false
Step-by-step explanation:
I dont think I need to explain,
what does 3 - (-8) equal????
Answer:
11
Step-by-step explanation:
3-(-8) = 3+8
= 11
ii. A machine is sold for 7,000/-. The gross loss is 20% of the cost. What are the cost and gross loss?
Given:
Selling price of a machine = 7000/-
Gross loss = 20%.
To find:
The cost and gross loss.
Solution:
Let x be the cost of machine.
According to the question,
\(x-20\%\text{ of }x=7000\)
\(x-\dfrac{20}{100}x=7000\)
\(x-0.2x=7000\)
\(0.8x=7000\)
Divide both sides by 0.8.
\(x=\dfrac{7000}{0.8}\)
\(x=8750\)
So, the cost of the machine is 8750/-.
Now,
\(\text{Gross Loss}=\text{Cost}-\text{Selling price}\)
\(\text{Gross Loss}=8750-7000\)
\(\text{Gross Loss}=1750\)
Therefore, the gross loss is 1750/-.
Josh has 4 boxes of candy to share with his 20 classmates. If each classmate receives the same amount of candy, how much candy should each classmate get? Your answer
Answer:
1/5 of a box of candy
Step-by-step explanation:
Because John has 4 boxes of candy, he needs to divide this by his 20 classmates. So we have 4/20, which reduces to 1/5. So each classmate would get 1/5 of a box of candy (assuming that Josh himself does not get any candy).
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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Consider the probability statements regarding events A and
B below.
P(A or B) = 0.3
P(A and B) = 0.2
P(AB) =0.8
What is P(B)?
A) 0.1
B) 0.375
C) 0.25
D) 0.667
The calculated value of the probability of B is (c) 0.25
How to calculate the probability of BFrom the question, we have the following parameters that can be used in our computation:
P(A or B) = 0.3
P(A and B) = 0.2
P(A/B) =0.8
First, we have
P(A/B) = P(A and B)/P(B)
Substitute the known values in the above equation, so, we have the following representation
0.2/P(B) = 0.8
So, we have
P(B) = 0.2/0.8
Evaluate
P(B) = 0.25
Hence, the probability of B is 0.25
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∠A ≅ ∠B, ∠C is a complement of ∠A. m∠C = 25°; m∠B =
Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.
If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.
Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.
Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:
∠B + ∠C = 90°.
Substituting the given value, we have:
∠B + 25° = 90°.
To isolate ∠B, we subtract 25° from both sides of the equation:
∠B = 90° - 25°.
Simplifying, we get:
∠B = 65°.
Therefore, the measure of ∠B is 65°.
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patricia walked 1/8 of a mile to her aunts house yesterday. Tomorrow she plans to walk two and a half times as far in order to practice for her schools walk a thon. patricia knows that two and a half is the same as the fraction 5/2 how many miles will patricia walk tomorrow? Express the answer as a fraction in lowest terms
Patricia walked 1/8 of a mile to her aunt yesterday.
Since she plans to walk two and a half times as far, 5/2. Multiply 1/8 by 5/2:
\(\frac{1}{8}\cdot\frac{5}{2}=\frac{5}{16}\)She plans to walk tomorrow 5/16 miles.
Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.
Required:
a. Find a real-world situation that can be represented by a sinusoidal function. You may find something online that represents a sinusoidal graph or you can create a sinusoidal graph yourself with a measuring tape and a rope.
b. Provide a graph complete with labels and units for the x- and y-axes.
c. Describe the amplitude, period, and vertical shift in terms of the real-world situation.
Answer:
a. An example of a real situation that can be represented by a sinusoidal function is a Ferris wheel
b. The graph of the sinusoidal function representing the Ferris wheel created with Microsoft Excel is attached
c. The amplitude is the radius of the Ferris wheel
The period is the time it takes to complete one cycle
The vertical shift is the height of the wheel above ground
Step-by-step explanation: