Answer: 20%
Step-by-step explanation: Annual depreciation = $2,600 * 12 = $31,200
Annual depreciation rate = Annual depreciation /Depreciable costs
= $31,200 / ($188,000 - $32,000)
= 20%
The U.S Census Bureau provides data on the number of young adults, age 18-24, who are living in their parents’home. Let
M= the event a male young adult is living in his parent’ home
F = the event a female young adult is living in her parent’ home
If we randomly select a male young adult and a female adult, the Census Bureau data enable us to conclude P(M)=0,56 and P(F)=0,42 (The World Almanac, 2006).The probability that both are living in their parent’home is 0,24
a, What is the probability at least one of the two young adults selected is livingin his or her parent’ home?
b, What is the probability both young adults selected are living on their own (neither is living in their parent’ home?
a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.
b) The probability both young adults selected are living on their own is; 0.26
How to solve Conditional Probability?We are given the events as;
M = the event a male young adult is living in his parent’ home
F = the event a female young adult is living in her parent’ home
We are also given that;
Probability that a male young adult is living in his parent’ home; P(M) = 0.56
Probability that a female young adult is living in her parent’ home; P(F) = 0.42
a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;
P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)
= 0.56 + 0.42 - 0.24 = 0.74.
B) The probability both young adults selected are living on their own which means neither is living with their parents is;
P(neither living with parents) = 1 - P(M or F)
= 1 - 0.74 = 0.26.
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please help meeee…………..
The required measure of the angle ∠VYW is given as 59°.
Given that,
A Right angle is shown, where the measure of the complementary angle ∠VYW is to be determined.
orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
For complementary angle,
∠TYV + ∠VYW = 90
31 + ∠VYW = 90
∠VYW = 59°
Thus, the required measure of the angle ∠VYW is given as 59°.
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f(x) = ax^3 + bx^2 + cx + d In the polynomial above, a, b, c, and d are constants. If f(–5) = 3, which of the following must be true about f(x)? A x – 3 is a factor of f(x). B The remainder when f(x) is divided by x + 5 is 3. C x + 2 is a factor of f(x). D x + 5 is a factor of f(x).
The remainder when f(x) is divided by x + 5 is 3.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
we discovered that the polynomial equation is the equation that results from equating a polynomial function to zero. A linear equation results from equating a function to zero if it is a linear polynomial. We get a quadratic equation if the function is a quadratic polynomial.
f(x) = ax^3 + bx^2 + cx + d
In the polynomial above, a, b, c, and d are constants and f(-5)=3.
- 5 is the root of the given polynomial when remainder is 3 so we get the one factor of the given polynomial and that is,
x-(-5)=(x+5)
That is if f(-5)=3 it means that the remainder when f(x) is
divided by (x-(-5))=x+5 is 3
Hence, The remainder when f(x) is divided by x + 5 is 3
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Which of the following measures of variability is not dependent on the exact value of each score? a. range b. mean deviation c. standard deviation d. variance
Range is the measure of variability which is not dependent on the exact value of each score.
In terms of variability, range is independent of the exact value of each score, and in terms of central tendency, median is the measure that is independent of the exact values of each score.
What is a range?
Range is basically the difference of the highest and the lowest value of a series. The range has nothing to do with the exact value of each score. It just considers the highest and the lowest values of any given class for its calculation.
Range= highest value- Lowest value
That is the reason, why, Range is the independent measure of variability.
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find each of the shaded areas under the standard normal curve. round the answers to four decimal places. part 1 of 4 0.61 the area of the shaded region is .
(a) The area of the shaded region is 0.2709.
(b) The area of the shaded region is 0.3520.
(c) The area of the shaded region is 0.5555.
(d) The area of the shaded region is 0.6197
What is standard normal curve?
The horizontal axis is approached but never touched by the standard normal curve as it extends indefinitely in both directions. The center of the bell-shaped standard normal curve, which has a z=0 slope, is. Nearly all of the standard normal curve's area lies between z = 3 and z = 3.
The shaded area under the standard normal curve are,
1) Find, P[Z > 0.61 ]
= P[Z > 0.50]
= 1 - P[Z < -0.50]
= 1 - 0.7291 ( use z table)
= 0.2709
The area of the shaded region is 0.2709.
2) Find, P[Z < -0.38 ]
= P[Z < -0.38 ]
= 0.3520 ... ( use z table)
The area of the shaded region is 0.3520.
3) Find, P( -0.58 < Z < 0.98 )
= P(Z < 0.98 ) - P(Z < -0.58 )
= 0.8365 - 0.2810 ......(using z-table)
= 0.5555
The area of the shaded region is 0.5555.
4) Find , P( -0.11 < Z > 0.98 )
= 1 - P(Z < 0.98 ) - P(Z < -0.11 )
= 1 - ( 0.8365 - 0.4562 ) ......(using z-table)
= 1 - 0.3803
= 0.6197
Hence, the area of the shaded region is 0.6197.
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two dice are rolled. find the probability of the following event. the first die is 3 or the sum is 6.
The probability of the following event. The first die is 3 or the sum is 6 would be 1/4.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
All events must have a probability of occuring at least once, or 1.
The proportion of positive outcomes to all outcomes is referred to as the probability formula.
Let's assume that the blue die came up first among the two.
A = the amount of times we roll a first-die and get a 3.
B is the quantity of times a total of six occurs.
Now Locate 3 on the blue die and notice there are 6 occurrences when this happens which corresponds to the 6 other possibilities for the red die. So we have A = 5.
Also,there are 5 occurrences of the sum "6" in the table. So B = 5.
We have A+B = 5+5 = 10 occurrences of either the first die is 3 or the sum is 6.
However, we have to subtract off 1 because we double counted "6" when adding A and B.
So in reality we have 10-1 = 9 times this happens.
This is out of 36 total ways to roll two dice.
Therefore, the probability of the following event.
The first die is 3 or the sum is 6 would be 9/36 = 1/4
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Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained. Ŷ = 12 + 1.8x n = 17 SSR = 225 SSE = 75 sb1 = .2683 Based on the above estimated regression equation, if advertising is $3000, then the point estimate for sales (in dollars) is?
The point estimate for sales when advertising is $3000 is $5412.
Based on the given information, the estimated regression equation is Ŷ = 12 + 1.8x, where Ŷ is the estimated value of the dependent variable (sales), x is the value of the independent variable (advertising), and the constants 12 and 1.8 are the coefficients of the regression equation.
If advertising is $3000, then the point estimate for sales (in dollars) is the value of Ŷ when x = 3000. Substituting this value into the estimated regression equation, we get:
Ŷ = 12 + 1.8 * 3000 = 12 + 5400 = 5412
So, the required amount is $5412.
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What number makes the expressions equivalent?
12(−1.4m+0.4)=?m+0.2
The number -84 makes the expression 12(−1.4m+0.4) = 0.2(?m+0.2) equivalent.
Calculating for the unknown numberTo calculate for the unknown number represented by the question mark (?), we first expand the left hand side of the equation and then compare with the expression at the right hand side of the equation.
From the left hand side;
12(−1.4m+0.4) = -16m + 4.8 {by expansion}
12(−1.4m+0.4) = 0.2 × -84m + 0.2 × 0.2 {factor out 0.2 from both terms}
12(−1.4m+0.4) = 0.2(-84m + 0.2) {use bracket}
Therefore, by comparing 0.2(-84m + 0.2) with 0.2(?m+0.2), we observe the unknown number represented by "?" is -84 which makes the expression equivalent for 12(−1.4m+0.4) = 0.2(?m+0.2)
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Possible question
What number makes the expressions 12(−1.4m+0.4) = 0.2(?m+0.2) equivalent?
Need help answer please!
Answer:
The second option/ B
Step-by-step explanation:
6 coins plus 4 coins is 10 coins, and you can’t forget the x amount of pennies.
I need help with this please
all because all of the equianlangular triangles are equal
rhombuses are special parallelograms true or false; which polygon is a pentagon?; a square is a special rhombus; why is a parallelogram not the same type of quadrilateral is a trapezoid; a square is a specific type of parallelogram true or false; why is a square a special parallelogram
Yes Rhombuses are special parallelograms is true statement. Yes square is also a special rhombus. True square is a specific type of parallelogram.
What is parallelograms?
A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a type of polygon with four sides (also known as a quadrilateral) in which each parallel pair of sides is the same length.
A parallelogram has adjacent angles that add up to 180 degrees.
rhombuses is a quadrilateral with all the four sides having equal lengths.
In a rhombus, the opposite sides are parallel and equal. Hence, it is a parallelogram.
So rhombuses are special parallelograms this statement is true.
A square is a special rhombus Yes that is true
The sides of a square and a rhombus are both the same length. A rhombus only has its opposite angles equal, whereas a square has all of its angles at 90 degrees.
why is a parallelogram not the same type of quadrilateral is a trapezoid?
Since they both have four sides, it is obvious that a trapezoid and a parallelogram are quadrilaterals. There are at least one set of parallel sides in a trapezoid. Two sets of parallel sides make up a parallelogram. Therefore, a trapezoid is not a parallelogram if it has only one pair of parallel sides.
a square is a specific type of parallelogram this statement is true.
A square is a quadrilateral in two dimensions that has four equal sides and four equal angles. It is a unique parallelogram with equal angles and sides.
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When computing standard error, if the sample size increases while the variability remains the same, then the standard error:
A) decreases
B) increases
C) remains the same
D) is about average
E) none of the above; there is no such thing as standard error
If the sample size increases while the variability remains the same, then the standard error decreases.
Standard error is defined as the measures of the preciseness of an estimate of a population mean. It can be calculated by dividing the sample standard deviation by the square root of the sample size.
SE = SD / √n
where SE = standard error
SD = sample standard deviation
n = sample size
Variability refers to the statistical dispersion of data which is expressed through the range, variance, or standard deviation.
Increasing the sample size, n, while having the same variability, will result to a lower value for the standard error.
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a quasi-experiment with one treatment and one control group that measures the dependent variable only once press space to open
A quasi-experiment with one treatment and one control group that measures the dependent variable only nonequivalent control group posttest only design.
The quasi experiment design is defined as the attempt to produce the cause and effect relationship by using different types of criteria except randomization
The dependent variable is the variable that the value of this variable affected by the other variables
The treatment is defined as the any independent variable that affected by the experimenters.
Here the quasi-experiment with one treatment and one control group that measures the dependent variable only once.
Therefore, this is a nonequivalent control group posttest only design
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An online customer service department estimates that about 15 percent of callers have to wait more than 8 minutes to have their calls answered by a person. The department conducted a simulation of 1,000 trials to estimate the probabilities that a certain number of callers out of the next 10 callers will have to wait more than 8 minutes to have their calls answered. The simulation is shown in the following histogram.Based on the simulation, what is the probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered?
The probability that at most 2 of the next 10 callers have to wait more than 8 minutes is the sum of the probabilities of 0, 1, or 2 callers having to wait for more than 8 minutes which is 0.810
The probability that at most 2 of the next 10 callers having to wait can be defined using the expression :
P(X ≤ 2) = P(0) + P(1) + P(2)
Using the individual probabilities given by the histogram attached :
P(X ≤ 2) = 0.181 + 0.345 + 0.284
P(X ≤ 2) = 0.810
Therefore, the probability that at most 2 callers have to wait more than 8 minutes is 0.810
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What is the answer to −517÷97?
5.3 ? I think.
The mixed number ver is -5 32/97
10. State the amplitude, period, horizontal translation, vertical translation, and equation of the axis. (Graph each of the following)
a. y= 4cos4(theta-90 degrees) +3
b. y= 8sin2(theta−180 degrees) -8
You can compute amplitude as well, but this is quicker. There will be a reflection in the x axis, as shown by the negative sign before the number 2.
what is amplitude?The maximum displacement or distance made by a point on a vibrating body or wave relative to its equilibrium location is known as the amplitude in physics. It is equivalent to one-half of the vibration path's length.
Amplitude:
[tex]Found right in the equation the first number:\\ y=-2-cos2(x+4)-1[/tex]
You can compute it as well, but this is quicker. There will be a reflection in the x axis, as shown by the negative sign before the number 2.
Period:
[tex]First find k in equation:\\ y=−2cos2−(x+4)−1[/tex]
Then use this equation:
[tex]period=2\pi /k\\period=2\pi /2\\period=\pi[/tex]
Phase Shift:
[tex]y=-2cos2(x+4)-1[/tex]
The graph will move 4 units to the left, according to this section of the equation.
Vertical Translation:
[tex]y=-2cos2(x+4)-1[/tex]
The -1 tells you that the graph will shift 1 unit down.
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micky used 25% of his money on a new hat . The hat cost him $18 to purchase . How much money did Mickey have before he made his purchase.
Answer: $72
Step-by-step explanation:
x = money M had before he bought the hat
0.25x = 18
x = 18/.25 = 72
Guys how do I solve 3x+x. PLEASE HELP!!!!!
Answer: 4x
Step-by-step explanation:
Combine like terms
3x + x
4x
Hope this helps!
Answer:
4x
Step-by-step explanation:
You want to "solve" 3x +x.
CoefficientStart by understanding the meaning of 3x. The coefficient of 3 tells you how many instances of x you have. The term 3x is a representation of repeated addition:
3x = x + x + x . . . . . . . . x is included in the sum 3 times
The sum 3x + x can be written out as ...
3x + x = (x + x + x) + x
This is fully equivalent to ...
3x + x = x + x + x + x
We recognize the sum on the right includes 4 instances of x, so can be written using a coefficient as ...
x + x + x + x = 4x
This means ...
3x + x = 4x
Distributive propertyIf we use the distributive property, we can also get there this way:
3x + x = 3x + 1x = (3 +1)x = 4x
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if AC is congruent to CB, measure of angle A =(3x+18), and the measure of angle C =(2x-8)
The triangle is an isosceles trianlge. Then the value of the variable 'x' will be 19.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
In the event that the air conditioner is harmonious to CB, the proportion of point A = (3x + 18), and the proportion of point C = (2x - 8)
Then the equation is given as,
∠A + ∠B + ∠C = 180°
3x + 18 + 3x + 18 + 2x - 8 = 180
8x + 28 = 180
8x = 152
x = 19
The triangle is an isosceles trianlge. Then the value of the variable 'x' will be 19.
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hw to solve 6x-12/3+4=18/x
The two solutions of the equation:
(6x - 12)/3 + 4 = 18/x
Are x = 3 and x = -3
How to solve the equation?Here we have the following equation:
(6x - 12)/3 + 4 = 18/x
Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.
Now, let's start by simplifying the left side:
(6x - 12)/3+ 4 = 18/x
2x - 4 + 4 = 18/x
2x = 18/x
Now we can multiply both sides by x so we get:
2x^2 = 18
Now divide both sides by 2:
x^2 = 18/2
x^2 = 9
Finally, apply the square root in both sides:
√x^2 = ±√9
x = ±3
The two solutions are x = 3 and x = -3
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A is a 7x7 matrix with three eigenvalues. One eigenspace is two-dimensional, and one of the other eigenspaces is three dimensional then it is possible that A is not diagonalizable. Select one: True False
A is a 7x7 matrix with three eigen values. One eigenspace is two-dimensional and one of the other eigenspaces is three dimensional, then it is possible that A is not diagonalizable. The given statement is true.
There are three eigen-spaces, since A has three eigen values, the dimension of each of the eigen value is atleast one as there is atleast one non-zero eigen vector in them.
It is given that one of the eigen space has dimension 2 and other one has dimension 3.
A 7 x 7 matrix is diagonalizable if and only if the sum of the eigenspaces' dimension is 7. The given matrix is diagonalizable if and only if the third eigen space has dimension 2.
In A, if the sum of dimensions of eigenspace is not equal to the number of columns, then A is not diagonalizable.
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When a phone is on but not in use, the battery lasts 24 hours. When it is in constant use, the battery lasts 3 hours. If Nicole leaves the phone on for 9 hours, but only uses it for 60 minutes during this time, how many hours of battery are left after she uses it if she doesn’t use it anymore?
HELP
Answer:
10 hours
Step-by-step explanation:
Amount used:
1 hour of use would be
1/3 of 24 = 6 hours used of the total
8/24 of 24 would be 8 hours used of the total
14 total hours would be used out of a 24 hour totals, so that leaves 10 hours of battery use left.
I am not feeling real confident about this.
Answer:
8 hours battery life left in idle use------------------------------------
24 hours of idle use time is equivalent to 3 hours of active use.
If it was in use for 1 hour, it is equivalent to:
24/3 = 8 hours of idle timeSince it is included in the 9 hours, it is equivalent to:
9 - 1 + 8 = 16 hoursBattery life left:
24 - 16 = 8 hoursFor a graph where would I put my point at?
(3,2)
Answer:
See below
Step-by-step explanation:
You start at the origin which is the very middle of where the x and y axis cross. The first number tells you to go right 3 spaces and the second number tells you to go 2 spaces.
Liza is one year older than her sister. In four years she will be 3 times as old as she is now. How old is her sister now??
The required age of Liza's sister is given as 6 years.
Given that,
Liza is one year older than her sister. In four years she will be 3 times as old as she is now. How old is her sister now is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the age of Liza be x and of her sister be y,
According to the question,
x = y + 1
After 4 years,
4 + (y + 1) = 3(y + 1)
5 + y = 3y + 1
y = 2
The age of her sister now,
y = 2 + 4 = 6 years.
Thus, the required age of her sister is given as 6 years.
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Show a free-body diagram. For each: a. Redraw the diagram. b. Identify the direction of the acceleration vector and show it as a vector next to your diagram. Or, if appropriate, write . c. If possible, identify the direction of the velocity vector and show it as a labeled vector. d. Write a short description of a real object for which this is the correct free-body diagram. Use Examples and 5.6 as models of what a description should be like.
A) Acceleration Direction
The net force is acting down the surface, as seen in the figure. As a result, the acceleration vector should likewise be directed down the surface.
Labeling the vector of acceleration
The acceleration vector is depicted below:
B) Determine the velocity vector
According to the free-body diagram, an item should be on an inclined surface with a tension force pulling it down. When a kinetic frictional force is directed up to the surface, the item is said to be sliding down the slope. As a result, the velocity vector should be oriented upside down.
Determine the direction of the velocity vector
The velocity vector is indicated in the picture below:
C) Describe a real-world thing
The diagram shows an item on an inclined surface, with the kinetic force directed up to the surface. As a result, the item may be thought of as a box being pulled down by a rope down an inclined slope.
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Full Question
Problems 35 through 40 show a free-body diagram. For each:
a. Redraw the diagram
b Identify the direction of the acceleration vector and show it as a vector next to your diagram. Or, if appropriate, write
c. If possible, identify the direction of the velocity vector and show it as a labeled vector.
d Write a short description of a real object for which this is the correct free-body diagram. Use Examples 5.4, 5.5, and 5.6 as models of what a description should be like.
Lisa creates a designer bracelets with gemstones are most recent included six bracelets and takes $12 to make one bracelet right and talking equation to represent how many stones are used for the order
Equation s/12 = 6 represents the equation on how many stones were used for the order. On solving we get 72 stones.
How to form an equation for a word problem?
Follow these steps:
Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find.
Translate the problem to an equation. Assign a variable (or variables) to represent the unknown.
Carry out the plan and solve the problem.
According to the given question:
Leslie's most recent order included a total of 6 bracelets.
It takes 12 stone to make one bracelet.
Let the total number of stones be s.
If one bracelet requires 12 stones then 6 bracelets requires 12 x 6 stones
Therefore, s = 12 x 6 or s/12 = 6
On solving to get value of s we get 12 x 6 = 72 stones.
Hence s/12 = 6 represents the equation on how many stones were used for the order. On solving we get 72 stones.
Complete question:
Leslie creates designer bracelets with gemstones. Her most recent order included a total of 6 bracelets. It takes 12 stone to make one bracelet.
Write and solve an equation that represents how many stones were used for the order.
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in coin changing problem, show that the greedy strategy fails for the denominations 25, 20, 10, 5, and 1 cents. (hint: prove that we cannot construct the solution by making decisions to choose each item to add to the solution optimally, and never reversing decisions already made
In coin changing problem, the greedy strategy fails for the denominations 25, 20, 10, 5, and 1 cents.
The greedy algorithm for the coin change problem (pay a certain amount with the fewest number of coins feasible) is effective. It always chooses the coin with the largest denomination that does not exceed the remaining sum, and it consistently determines the right answer for certain coin sets.
But for certain set of denominations, it fails. For example take a sum of 44 cents then by greedy algorithm, first taking the highest denominations one 25 cent is taken and now 19 is remaining. So now one 10 cent is taken, and 9 is remaining. Now, one 5 cent is taken and four 1 cent is taken. So total we get 7 coins.
Now let us deviate from greedy algorithm and take two 20 cents, now 4 is remaining. So now four 1 cent is taken, this sums up only 6 coins. So this is a much optimal solution than the one obtained by greedy algorithm.
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write the polynomial in standard form. then classify the polynomial by degree and by number of terms x + 2x^2
The equation is therefore in Standard Form: 2 Degree :Quadratic number of terms :Binomial
What is equation?There are numerous ways to define an equation in mathematics .In algebra, a statement that mathematically establishes the equality of two mathematical expressions is known as an equation. Take into consideration the equation 3x + 5 = 14, in which 3x + 5 and 14 are two variables that are separated by the word "equal." Even the most elementary and simple algebraic equations use mathematical variables.
To construct a polynomial in standard form in this instance, you begin writing with the term having the highest degree, or exponent (in this example, the
2[tex]x^{2}[/tex] +x
word), and after that, in descending order. due to the two
[tex]x^{2}[/tex] is used to the greatest degree:
You look at the highest exponent, or degree, to categorize a polynomial. Considering that 2 is the highest exponent,
That is a quadratic equation. First few are as follows:
1- linear
2- quadratic
3- cubic
4- quartic
5- quintic
Count the terms in the polynomial to categorize it according to its term count: There are two terms in this polynomial,
2[tex]x^{2}[/tex]and x
. This is therefore a binomial.
Monomial is one term.
binary two terms
trinomial, 3 terms
4-plus terms; polynomial
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a circle with circumference \blue{10}10 start color #6495ed, 10, end color #6495ed . It has an arc of length 92\dfrac{9}{2} 2 9 start fraction, 9, divided by, 2, end fraction . What is the central angle of the arc, in degrees? ∘^\circ ∘ degrees
The value of the central angle of the given arc of the circle is ; θ = 162°
What is the central angle of the arc?The central angle of an arc of a circle is defined as an angle between two radii with the vertex at the center. The central angle of an arc is also called the central angle subtended by the arc.
We are given the circumference of the circle as 10 and the length of the arc as 9.
Now, the formula for circumference of a circle is;
C = 2πr
where r is radius
The formula for length of the arc is;
L = θ/360 * 2πr
Plugging in the relevant values, we have;
9/2 = (θ/360) * 10
θ = (360 * 9)/(10 * 2)
θ = 162°
Read more about arc central angle at; https://brainly.com/question/29545058
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Nadia is hosting her sister Elizabeth birthday.Elizabeth favorite dessert is chocolate eclair.the local bakery charges $24 per box 8 eclairs, plus a delivery charger 5.95 per box. Nadia has received notice that 76 friends will attend, in addition to herself and Elizabeth. What is the total amount will have Nadia have to pay the bakery to deliver the eclair
Answer:
$292.36
Step-by-step explanation:
To calculate the total amount Nadia will have to pay the bakery to deliver the éclairs, you need to determine how many boxes of éclairs she will need to order and then add the delivery charge.
First, you need to determine how many éclairs Nadia will need to order to feed all of her guests. Since there are 8 éclairs per box and Nadia has 76 guests in addition to herself and Elizabeth, a total of 78 people, she will need to order 78 / 8 = <<78/8=9.75>>9.75 boxes of éclairs.
To calculate the total cost of the éclairs, you can multiply the number of boxes needed by the cost per box: 9.75 boxes * $24 per box = $<<9.75*24=234>>234.
To calculate the total delivery charge, you can multiply the number of boxes needed by the delivery charge per box: 9.75 boxes * $5.95 per box = $<<9.75*5.95=58.36>>58.36.
To find the total amount Nadia will have to pay the bakery, you can add the cost of the éclairs to the delivery charge: $234 + $58.36 = $<<234+58.36=292.36>>292.36.
Therefore, Nadia will have to pay the bakery a total of $292.36 to deliver the éclairs.
Answer:
[tex]\boxed{292.4625}.[/tex]
Step-by-step explanation:
To determine the total amount Nadia will have to pay the bakery to deliver the eclairs, you will need to first calculate the total number of eclairs that are needed. Since Nadia and Elizabeth will both be attending the party, and there will be a total of 76 friends attending, the total number of people at the party will be 76 + 2 = 78.
Next, you will need to determine how many boxes of eclairs Nadia will need to order. Since each box contains 8 eclairs, and there are 78 people at the party, Nadia will need to order 78 / 8 = <<78/8=9.75>>9.75 boxes of eclairs.
Since the bakery charges $24 per box of eclairs and Nadia needs to order 9.75 boxes, the cost for the eclairs will be 24 * 9.75 = $<<24*9.75=234>>234.
In addition to the cost of the eclairs, Nadia will also need to pay a delivery charge of $5.95 per box. Since Nadia needs to order 9.75 boxes, the delivery charge will be 5.95 * 9.75 = $<<5.95*9.75=58.4625>>58.4625.
To find the total amount Nadia will have to pay the bakery, you will need to add the cost of the eclairs and the delivery charge. The total amount Nadia will have to pay the bakery will be: $234 + $58.4625 = $<<234+58.4625=292.4625>>292.4625. Answer: \boxed{292.4625}.
