The Required answer is ∠MNQ is (10x - 4)°
Two unique points on a line define the boundaries of a line segment. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.
Given NP bisects MNQ as shown in the given figure
A line segment that bisects two lines divides them into two equal parts.
Given ∠MNP =( 6x - 12)°
Given ∠PNQ = (4x + 8)°
We have to determine ∠MNQ as
∠MNQ = ∠MNP + ∠PNQ
= 6x - 12 + 4x + 8
= 10x - 4
Therefore, the answer for the given question is ∠MNQ is (10x - 4)°
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The population of a small town was 12,500 in 1995. Since then, the population has
increased at a rate of 4.5% each year.
Write an exponential function to model the situation
Answer:
Step-by-step explanation:
the answer is 6847 if anyone solves it
Simon measures the length of an insect that is 2.5 inches long for a science
project. He needs to record his data in centimeters. How long is the insect
in centimeters?
If the length of the insect is 2.5 inches long, then the length of the insect in centimeter is 6.35 centimeter
Given,
The length of the insect = 2.5 inches
Convert inches to centimeter
We know,
1 inches = 2.54 centimeter
2.5 inches = 2.54× 2.5
=6.35 centimeter
Hence, if the length of the insect is 2.5 inches long, then the length of the insect in centimeter is 6.35 centimeter
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Find the weighted average of the points on the line.
The weighted average of the points on the line is 3/5 after applying the concept of the weighted average.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
The number line is shown in the picture:
The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.
From the number line:
The weighted average = [2(-5) + 8(2)]/(2 + 8)
The weighted average = [-10 + 16]/(10)
The weighted average = [6]/(10)
The weighted average = 3/5
Thus, the weighted average of the points on the line is 3/5 after applying the concept of the weighted average.
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I’m not sure what to do
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
First of all, it's a graph of mod function, which is transformed.
So, let's proceed with taking graph of modulus initially ~
[tex]\qquad \sf \dashrightarrow \: y = |x| [/tex]
The required can be tranformed by moving it three units left and four units down.
so, we need to add 3 to x within the function to move it left by units.
i.e
[tex]\qquad \sf \dashrightarrow \: y = |x + 3| [/tex]
Now, to move it down by 4 units we need to subtract 4 from the whole function.
[tex]\qquad \sf \dashrightarrow \: y = |x + 3| - 4[/tex]
So, the correct choice is : C
the required can be transformed by moving at 3 units left and 4 units down do you understand ? after that are 3 and x
y = x + 3
now to move it down by 4 units we need to subtract for from the whole function which is y is equal to x + 3 - 4
y = |x+3| - 4
the answer is c
help with 2,3,&4. pleaseee!! wil mark as brainly list
Answer:
brainly list not allowed macht
Ahmed wants to divide BD 5500 in the ratio 2:4:5 for 3 charity organizations. Can you help him to divide the money?
We need to know about ratio for solving the problem. Ahmed has to divide the money as 1000, 2000 and 2500.
In simple words ratio indicates how many times one number contains other. With the help of this division we need to assume a number x which is held 2 times in first part, 4 times in second part and 5 times in third part of the total money that Ahmed wants to divide. We can find the ratio of a quantity to another by dividing one quantity by the other and cancelling the common factors. For this question we have a total amount of money 5500 which we need to divide in ratio 2:4:5 in other words we can say that the three parts are 2x,4x and 5x, these three parts will add up to be 5500. So we can write
2x+4x+5x=5500
11x=5500
x=500
The three parts of the money will be 2x500=1000, 4x500=2000 and 5x500=2500
Therefore we found using the concept of ratio that Ahmed needs to divide his money as 1000,2000 and 2500.
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Solve the inequality and express your answer in interval notation.
x^2+ 12x+7<0
The solution in interval form is given as (-∞, -6-√29
] or [-6+√29, ∞)
Inequality expressionGiven the quadratic inequality below;
x^2+ 12x+7<0
Using the general formula
x = -12±√12²-4(1)(7)/2(1)
x = -12±√144-28/2
x = -6±√116/2
x = -6±√29
Hence the solution in interval form is given as (-∞, -6-√29
] or [-6+√29, ∞)
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Question 8, 1.2.35-PS
Part 1 of 5
iew an example
HW Score: 44.44%, 4
O Points: 0 of 1
- Scatterplots and Graphs
K
If a ball is thrown into the air at 96 feet per second from the top of a 109-foot-tall building, its height can be modeled by the function S=109+961-162, where S is in feet and t is in seconds.
Complete parts a through e below.
a. Graph this function for t representing 0 to 8 seconds and S representing 0 to 300 feet. Choose the correct graph below.
The quadratic function in this problem is represented by Graph C.
What is the quadratic function for this problem?The quadratic function for the projectile height after t seconds is given by:
S(t) = 109 + 96t - 16t²
From this, we have that:
Due to the negative coefficient of t², it is a concave down parabola, which remoces option d.The initial height is of 109 feet, which removes option b.The initial velocity is positive, which means that the parabola has increasing height for a while before decaying, which removes option A.Thus, the quadratic function in this problem is represented by Graph C.
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Find the missing number: 11, 29, 11, when average (mean) Is 17
The missing number (x) from the sequence → 11, 29, 11, x is 17.
We have the mean of given set of numbers.
We have to identify the missing number.
What is mean of a given set of data ?The mean in math and statistics summarizes an entire dataset with a single number representing the data's center point or typical value. It is calculated using the formula -
Mean (M) = ∑a[i] / n
where -
∑a[i] = sum of the elements in a data set
n = total number of elements
According to the question - assume that the missing number is x. Then, we have -
11, 29, 11, x
Now, using the formula of mean -
M = ∑a[i] / n
17 = (11 + 29 + 11 + x)/4
68 = 51 + x
x = 68 - 51
x = 17
Therefore, the missing number is 17.
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In the triangle above, if BC = 21 and sin A = 0.7, what is the length of AB?
With explanation
Country A produces about six times the amount of diamonds in carats produced in country B.If the total produced in both countries is 28,000,000 carats
The diamonds produced by country A and B are 24,000,000 and 4,000,000 carats respectively.
Here, we are given that Country A produces about six times the amount of diamonds in carats produced in country B.
Let the diamonds produced by country B be x
Then, the diamonds produced by country A will be 6x
The total diamonds produced by the two countries = 28,000,000
Thus, we can get the following equation-
x + 6x = 28,000,000
7x = 28,000,000
x = 28,000,000/ 7
x = 4,000,000
⇒ 6x = 24,000,000
Thus, the diamonds produced by country A and B are 24,000,000 and 4,000,000 carats respectively.
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what is (2.49 x 10^4)\(3.0x 10^2) written in scientific notation?
a. 8.3 x 10^1 b. 0.83x 10^2 c. 83x 10^2 d. 830x 10^1
Write 21 50 as a percent and as a decimal.
please help asap no one has been able to solve it :(
I need help
Answer:
givenMultiplication property of equalityMultiplicative inverse propertyMultiplicative identity propertyAddition property of equalityAdditive inverse propertyAdditive identity propertyStep-by-step explanation:
You are given the solution to a 2-step linear equation and asked to identify the properties of equality and operations that support the steps of the solution.
Steps5(x -3) = 20 . . . . This is the Given equation we're solving.
(1/5)(5(x -3)) = (1/5)(20) . . . . Both sides are multiplied by 1/5. The Multiplication property of equality says you can do this without changing the value of the variable.
1(x -3) = 4 . . . . (1/5)(5) is replaced by 1. The Multiplicative inverse property tells you the product of a number and its multiplicative inverse is 1.
x -3 = 4 . . . . 1(x -3) is replaced by (x -3). The Multiplicative identity property tells you multiplication by 1 changes nothing. These properties of multiplication are what allow you to remove the factor of 5 from the equation.
Now, we're about to do the same thing with addition: use its properties to remove the unwanted -3.
x -3 +3 = 4 +3 . . . . 3 is added to both sides. The Addition property of equality says you can do this without changing the value of the variable.
x +0 = 7 . . . . -3+3 is replaced by 0. The Additive inverse property tells you the sum of a number and its additive inverse is zero.
x = 7 . . . . x+0 is replaced by x. The Additive identity property tells you addition of 0 changes nothing. These properties of addition are what allow you to remove the added -3 from the equation.
__
Additional comment
Clearly, for exercises like this, it is essential to know the names of these properties and what they mean. Once you understand cancelling multiplication using multiplicative inverses, and cancelling addition using additive inverses, you are on your way to solving most algebra problems.
You must always keep in mind the properties of equality that tell you the same operation must be performed on both sides of the equal sign.
Understanding these properties can also help you understand the relation between multiplication and division, addition and subtraction. Division is multiplication by the multiplicative inverse; subtraction is addition of the additive inverse.
Write the slope, intercept form of the equation of the line describe
Through (3,-2) and parallel to y=-x+5
Answer:
y = - x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 5 ← is in slope- intercept form
with slope m = - 1
• Parallel lines have equal slopes , then
y = - x + c ← is the partial equation of the parallel line
to find c substitute (3, - 2 ) into the partial equation
- 2 = - 3 + c ⇒ c = - 2 + 3 = 1
y = - x + 1 ← equation of parallel line
Line L intersecting plane M at Q
COMPLETE
You can verify that your answer is a solution to the original equation by checking -1/2(-14)-3=4 is a
true statement. Which property of equality allows you to do this?
Oreflexive
Otransitive
substitution
Explanation:
Think of a substitute teacher. They temporarily replace your original teacher. The same idea applies with replacing the variable with a number.
For example, the equation x+2 = 7 has the solution x = 5. We can check this by substituting or replacing x with 5 to say 5+2 = 7, which is indeed a true mathematical statement. This confirms the solution.
Question 2 If n = 22, + = 30, and s = 7, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population. Give your answers to three decimal places.
The confidence interval for n = 22, X bar = 30 and σ = 7 at a 98% confidence level is 30 ± 3.472 which means the value will range between [26.528 – 33.472] respectively.
In statistics, a confidence interval is a range of values that is determined through the use of observed data, calculated at a desired confidence level that may contain the true value of the parameter being studied.
The formula used for the calculation of confidence interval is given by
Confidence level = X bar ± Z×σ/√n
where, X bar is the sample mean, Z is the confidence level value, σ is the sample standard deviation and n is the sample size.
Given that, n = 22, X bar = 30, σ = 7 and Z = 2.326 for 98%
= 30 ± 2.3263 × 7/√22
= 30 ± 3.472
= [26.528 – 33.472]
Therefore, The confidence interval for n = 22, X bar = 30 and σ = 7 at a 98% confidence level is 30 ± 3.472 which means the value will range between [26.528 – 33.472] respectively.
Hence, 30 ± 3.472 or [26.528 – 33.472] is the required answer.
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One employee have a computer store is Peter base salary of $2000 a month plus a 2% commission on all sales over $6000 during the month how much Muslim please tell in one month on a total of $5000 for the month
The employee must make a sale of $ 1,56,000 to get a total salary of $ 5000 with the commission rate as 2 %.
The basic salary of the employee = $ 2000
Now he wants to earn $ 5000.
That means he has to earn 4 500 - $ 2000 = $ 3000 from the sales commission that he gets.
Sales commission is 2 %.
Let the sales above $ 6000 be x
2 % x = 3000
2 / 100 x = 3000
2 x = 3,00,000
x = 1,50,000
Total sales = $ 6000 + $ 1,50,000 = $ 1,56,000
Therefore, the employee must make a sale of $ 1,56,000 to get a total salary of $ 5000 with the commission rate as 2 %.
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-4 1/2 + 3 1/4 I need help solving this question. And please show me the steps.
It should be noted the difference between - 4 1/2 and 3 1/4 is - 1/14.
How to illustrate the information?It should be noted that fractions are not while numbers. The number at the top is the numerator and the number down is the denominator.
In this case:
- 4 1/2 + 3 1/4
= - 4 2/4 + 3 1/4
= - 1 1/4
Therefore, it should be noted the difference between - 4 1/2 and 3 1/4 is - 1/14.
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For the following exercises, find functions
f(x) and g(x) so the given functions can be expressed as h(x)=f(g(x)). There are multiple possible answers. If the answers require exponents, enter the answer with an exponent in f(x) but not in g(x).
h(x)= 8/(x+4)^2
The functions f(x) and g(x) so the given function can be expressed as h(x) = f(g(x) are f(x) = 8/x^2 and g(x) = x + 4
How to find functions f(x) and g(x) so the given functions can be expressed as h(x) = f(g(x))?The function h(x) is given as:
h(x) = 8/(x + 4)^2
The definition of the function h(x) is
h(x) = f(g(x))
So, we have:
f(g(x)) = 8/(x + 4)^2
Let g(x) = x + 4
So, we have:
f(g(x)) = 8/(g(x))^2
Express g(x) as x
So, we have:
f(x) = 8/x^2
Hence, the functions f(x) and g(x) so the given function can be expressed as h(x) = f(g(x) are f(x) = 8/x^2 and g(x) = x + 4
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Amy has a box containing 6 white, 4 red, and 8 black marbles. She picks a marble randomly. It is red. The second time, she picks à white marble. In the third attempt, Amy picks a white marble again. Arny has not replaced the marbles she picked.
When Amy picks a black marble in the fourth attempt, the probability that in the fifth attempt she will pick a red or a black marble is 0.7143.
How to calculate the probability?It should be noted that after the 3rd pick we have: 4 white, 3 red and 8 black marbles.
The probability that the 4th marble is black is:
P ( Black ) = 8 / 15 = 0.5333
After the 4th pick we have: 4 white, 3 red and 7 black marbles.
P ( Red or Black ) = 10 / 14 = 5 / 7 = 0.7143.
Therefore, the probability is 0.7143.
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Amy has a box containing 6 white, 4 red, and 8 black marbles. She picks a marble randomly. It is red. The second time, she picks a white marble. In the third attempt, Amy picks a white marble again. Amy has not replaced the marbles she picked. The probability that the fourth marble Amy picks is black is . If Amy picks a black marble in the fourth attempt, the probability that in the fifth attempt she will pick a red or a black marble is____.
How tall is the flag pole (please give explanation too)
Answer:
22 3/4 ft
Step-by-step explanation:
The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.
ProportionShadow lengths are presumed proportional to the height of the object making them. This means ...
h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet
Multiplying by 31 1/2, we get ...
h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4
h = 22 3/4 . . . . ft
The flagpole is 22 3/4 feet tall.
How many solutions does 2b - 5 = 9 have
Answer:
1 solution
b=7
Step-by-step explanation:
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2b - 5 = 9
2b=14
b=7
1 solution
A mile is 5,280 feet between which two integers is the elevation of the trench in miles-22,889 feet is between and miles
The elevation of the trench is between 4 miles and 5 miles.
Between which integers is the elevation of the trench in miles?
Herein we have the information of the elevation of the trench in feet and we need to determine between which integers in miles is that elevation, based on the unit conversion from feet to miles. The exact elevation in miles is found by simple rules of three:
x = 22,889 feet × (1 / 5,280 miles / feet)
x ≈ 4.335 miles
The elevation of the trench is between 4 miles and 5 miles.
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Use properties of operations to add (−3) and (−17) IF RIGHT I WILL GIVE BRAINIEST
a b c or d
A: −20
B: 20
C: −14
D: 14
Answer:
14
Step-by-step explanation:
because if you subract -17 it will become a postive 17 and 17-3 is 14
y=(-3)-(-17)y=(-3)+17y=14Hope this helps!
If you have anyother questions feel free to ask!
Find the value of unknown
The value of x is 52° and the value of y is 104 ° as calculated using the chord properties of a circle.
A circle is defined as the locus of a moving point such that the distance of the point from a fixed point is always same.
A chord is a straight line joining any two points on a circle.The diameter is the largest chord.The angle subtended by the diameter at the center is always 90° .In the given figure AC is the diameter of the circle.
We know that the angle subtended by the chord is always 90°.
∴∠CBA = 90°
Now in ΔABC
∠ABC+∠BCA+ ∠CAB =180° (sum of all angles of a triangle is always 180°)
or, 90° + 38° + x° = 180°
or, 128° + x° =180°
or, x = 52°
Again in ΔDBC ,
DB=DC (radius of the circle)
∴∠DCB = ∠DBC (base angles of an isosceles triangles are equal)
∴∠DBC = 38°
Again in ΔDBC
∠DBC+∠BCD+ ∠CDB = 180° (sum of all angles of a triangle is always 180°)
or, y = 180° - 76°
or, y = 104°
Therefore the value of x is 52° and the value of y is 104 ° .
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Five more than the quotient of a number and 9 is equal to 3
Answer:
5+n/9=3
Step-by-step explanation:
Annenbaum Corporation uses the weighted-average method in its process costing system. This month, the beginning inventory in the first processing department consisted of 400 units. The costs and percentage completion of these units in beginning inventory were:
1. The cost per equivalent unit for materials for the month in the first processing department of Annenbaum Corporation is $20.50.
2. The cost per equivalent unit for conversion costs for the month in the first processing department of Annenbaum Corporation is $34.208.
How is the cost per equivalent unit determined?The cost per equivalent unit is the quotient of the total costs to be accounted for divided by total equivalent units of production.
The equivalent units of production are a mathematical equivalent of completed units based on their degrees of completion.
Data and Calculations:Beginning work in process:
Materials costs = $5,700 65%
Conversion costs = $6,800 45%
Started units = 6,500 units
Transferred out units = 5,900 units
Ending inventory:
Material costs = 50%
Conversion costs = 35%
Costs incurred during the period:
Materials costs......... $125,500
Conversion costs...... $207,000
Physical units to be accounted for:Beginning inventory = 400 units
Started during period = 6,500 units
Total units processed = 6,900 units
Units transferred out = 5,900 units
Ending inventory = 1,000 units
Equivalent Units (Weighted Average):Physical Units Material Conversion
Transferred out 5,900 5,900 (100%) 5,900 (100%)
Ending inventory 1,000 500 (50%) 350 (35%)
Total equivalent units 6,400 units 6,250 units
Total Production Costs:Material Conversion
Beginning WIP $5,700 $6,800
Costs for the period 125,500 207,000
Total production costs $131,200 $213,800
Total equivalent units 6,400 units 6,250 units
Cost per equivalent unit $20.50 $34.208 ($213,800/6,250)
Thus, the cost per equivalent unit of materials is $20.50, while it is $34.208 for conversion costs.
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Question Completion:Cost Percent Complete Materials costs......... $5,700 65% Conversion costs...... $6,800 45% A total of 6,500 units were started and 5,900 units were transferred to the second processing department during the month. The following costs were incurred in the first processing department during the month: Materials costs......... $125,500 Conversion costs...... $207,000 The ending inventory was 50% complete with respect to materials and 35% complete with respect to conversion costs. Required: 1. What's the cost per equivalent unit for materials for the month in the first processing department? 2. What's the cost per equivalent unit for conversion costs for the month in the first processing department?
The perimeter of a rectangular field is surrounded by 96 meters of fencing. If the field is partitioned into two parts as shown, a total of 110 meters of fencing is required. Find the dimensions of the field.
The dimensions of the field is Length = 34 meters, width = 14 meters.
Let rectangle: x for width, y for length.
2 ( x + y ) = 96
x + y = 48
2 ( x + y ) + x = 110
x = 110 - 96
x = 14
x + y = 48
y = 48 - 14 = 34
Length = 34 meters, width = 14 meters.
A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
A closed shape with four sides that forms a 90° angle is known as a rectangle. A rectangle can have many different characteristics. The following list includes some of a rectangle's key characteristics.
A quadrilateral is a rectangle.
A rectangle's opposing sides are equal and parallel to one another.
Each vertex of a rectangle has a 90° internal angle.
360° is the total of all interior angles.
The diagonals cut each other in half.
The diagonals are all the same length.
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