Answer:
Step-by-step explanation:
∠PQT = 35 + 25 {Exterior angle property of triangle}
= 60°
In ΔQNT,
TN = TQ
Therefore, ∠TNP = ∠PQT {Angles opposite to equal sides are equal}
∠TNP = 60°
∠TNP + ∠MNT = 180° {Linear pair}
60 + ∠MNT = 180
∠MNT = 180 - 60 = 120°
∠MNT = 120°
MR = 4 + 6 + 6 + 4 = 20
help...pls............................
hi! here are your answers:
-63 IS a solution.
-40 IS a solution.
54 is NOT a solution.
when we substitute each of these values for x, we find that -63 and -40 produce values less than -8, which makes the inequality true. 54 produces a value greater than -8, so it is not a solution.
hope this helps you!
Written as a simplified polynomial in standard form, what is the result when
(x - 2)^2is subtracted from 9x^2-8x?
Answer:
9x^2 - 10x -4
Step-by-step explanation:
It is set up like this
9x^2 - 8x
- (x-2)2
First solve (x-2)2
the answer is (2x-4)
so now you can do this instead
9x^2 - 8x
- 2x - 4
----------------------------------
9x^2 - 10x +4
9x^2 minus zero is 9x^2
-8x-2x is -10x
0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive
A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus
like this
9x^2 - 8x
+ -2x + 4
----------------------------------
9x^2 - 10x +4
Answer:
8x^2-4x-4
Step-by-step explanation:
On delta math
The base of a triangle prism shown is an isosceles triangle having a height of H cm, and an area of 36cm squared
The perimeter of the front rectanglular face of the prism is 54cm
state the value of h on the diagram
Answer:
the value of h on the diagram is 9cm
Step-by-step explanation:
area = 1/2 * base * height
a = 1/2*b*h
36=1/2*8*h
36=4h
since the 1/2 will multiply the 8
36=4h
multiply both sides by 4
h=9cm.
When you trim a video, the ________ of the timeline indicates the portion of the video that will play during the slide; the ________ portion indicates the portion that is trimmed.
When you trim a video, the start and end markers of the timeline indicate the portion of the video that will play during the slide; the trimmed portion indicates the portion that is removed or excluded from the final playback.
When editing a video, you may want to remove certain parts or shorten its duration. Trimming allows you to specify the exact portion of the video that will be included in the final version. The timeline represents the entire duration of the video, and the start and end markers on the timeline serve as reference points for indicating the selected segment. By adjusting the position of these markers, you can define the beginning and end points of the desired portion. The section of the timeline between the start and end markers represents the portion of the video that will play during the slide or be included in the final output. The remaining parts of the video outside of this selected segment are considered the trimmed portion, which will be excluded from the playback or final edited version of the video.
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Write an exponential function in the form y=ab x that goes through points ( 0 , 12 ) and ( 2 , 300 )
The exponential function that goes through points (0,12) and (2,300) is \(y = 12(5)^x\).
What is an exponential function?
The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
The coordinate points are (0,12) and (2,300).
The exponential function has form \(y=ab^x\).
So, the x values are 0,2 and y values are 12,300.
Substitute the first x and y values in the equation -
\(12=ab^0\)
a = 12 ...... equation (1)
Substitute the second x and y values in the equation -
300 = ab² ...... equation (2)
Substitute the value of equation (1) in equation (2) -
300 = (12)b²
b² = 300 / 12
b² = 25
b = √25
b = 5
Substitute the values of a and b in exponential function -
\(y = 12(5)^x\)
Therefore, the exponential function is \(y = 12(5)^x\).
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Binding constraints have
surplus resources.
zero slack.
negative slack
positive slack
Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.
binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.
1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.
2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.
In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.
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URGENT!! Please
help ASAP !
(a) By using the binomiat expansion, or otherwise, express (1+2 x)^{4} in the form 1+a x+b x^{2}+c x^{3}+16 x^{4} where a, b and c are integers. (b) Hence show that (1+2 x)^
The expression (1+2x)^4 expands to 1 + 8x + 24x^2 + 32x^3 + 16x^4.
To expand (1+2x)^4, we can use the binomial expansion formula, which states that (a+b)^n = C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + ... + C(n,n)b^n, where C(n,r) represents the binomial coefficient. Applying this formula to (1+2x)^4, we have:
(1+2x)^4 = C(4,0)(1)^4 + C(4,1)(1)^3(2x) + C(4,2)(1)^2(2x)^2 + C(4,3)(1)(2x)^3 + C(4,4)(2x)^4
Simplifying each term, we get:
= 1 + 4(2x) + 6(2x)^2 + 4(2x)^3 + (2x)^4
= 1 + 8x + 24x^2 + 32x^3 + 16x^4
By comparing coefficients, we can identify the values of a, b, and c. In this case, a = 8, b = 24, and c = 32. Thus, the expression (1+2x)^4 can be written as 1 + 8x + 24x^2 + 32x^3 + 16x^4, where a, b, and c are integers representing the coefficients of the terms.
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If cos f° = four ninths and the measure of segment xw is 16 units, what is the measure of segment xy? triangle xyw in which angle w is a right angle, angle x measure f degrees, and angle y measures d degrees 16 units 27 units 30 units 36 units
The measure of the segment xy of the given right angle triangle is; 36 units
How to use trigonometric ratios?This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;
Cos f = Adjacent / Hypotenuse
Thus;
Cos f = 4/9
From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;
4/9 = 16/XY
Where XY is the unknown side
By cross multiplication, you now arrive at,
4XY = 9 * 16
XY = 144/4
XY = 36
Therefore, XY measures 36 units
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Given parallelogram JKLM, where JK = 4x + 9, KL = 3x + 12, and LM = 6x - 25,
determine the length of MJ.
Answer:
MJ is 13 units in length
Step-by-step explanation:
in parallelograms, opposite sides are congruent
therefore, side KL is the same as JM which we know is 3x+12
now we need to find the value of 'x' which we can do by setting the other two sides equal as follows:
4x+9 = 6x-25
subtract 4x from each side to get:
9 = 2x-25
add 25 to each side to get:
34 = 2x
divide by 2
x = 17
now we can find the length of MJ by substituting 17 for 'x' in 3x+12
3(17)+12 = 51+12 = 63
What is the equation of a line with a slope of 2 and a y-intercept of -5?
Answer:
y=2x-5
Step-by-step explanation:
The equation of a line is commonly written in slope-intercept form, or otherwise known as y=mx+b. Mx represents the slope and b represents the y-intercept.
Answer:
The answer to the question provided is \(y = 2x-5\).
What is the value of the expression below when x=5x=5?
8x+9
The value of the expression below when x=5x=5?
8x+9 is equal to \(7^{2}\) (or) 49.
Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)
The expression,
y = 8x + 9
If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:
So, we can substitute x = 5,
Then, y = 8 * 5 + 9
Calculate the product or quotient,
y = 40 + 9
Calculate the sum or difference,
y = 49
We can write alternative form,
y = \(7^{2}\)
Therefore,
Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.
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Of the 400 votes for favorite pet, 240 voted for dog, 100 votes for cat, 40 voted for bird, and 20 voted for hamster. Match the pet with the size of each section in a circle graph
The sizes of each section in the circle graph would be:
Dog: 60% of the circle
Cat: 25% of the circle
Bird: 10% of the circle
Hamster: 5% of the circle
To create a circle graph, also known as a pie chart, we need to determine the percentage of votes each pet received. To do this, we can use the following formula:
Percentage = (Number of votes for pet / Total number of votes) x 100
For the given data, we have:
Dog: (240 / 400) x 100 = 60%
Cat: (100 / 400) x 100 = 25%
Bird: (40 / 400) x 100 = 10%
Hamster: (20 / 400) x 100 = 5%
Therefore, the sizes of each section in the circle graph would be:
Dog: 60% of the circle
Cat: 25% of the circle
Bird: 10% of the circle
Hamster: 5% of the circle
Note that the sections in a circle graph should add up to 100%.
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The number of hours each student spent studying for a test in Classroom A and Classroom B are shown below.
Determine whether each description of the summary statistic applies to the two data sets shown above. Select Yes or No for each summary statistic.
A cattle farmer wants to save for his daughter's college tuition. He will have to pay P50,000 at the end of every year for the next four years that his daughter attends college. He has 8 years until his daughter starts college to save up for her tuition. Using a 7\% interest rate compounded annually, what is the amount the farmer would have to save every year for the 8 years?
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
Given:
Payment required at the end of each year: P50,000
Number of years until the daughter starts college: 8
Interest rate: 7% (compounded annually)
We can calculate the annual savings using the formula for the present value of an ordinary annuity:
P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}
Where:
P = Present value (amount to be saved annually)
PMT = Payment amount (P50,000)
r = Interest rate per period (7% or 0.07)
n = Number of periods (8)
Let's substitute the given values into the formula:
\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
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What is the largest x where f(x) is discontinuous
show work
Answer:
x = 3
Step-by-step explanation:
reverse foil the denominator and find the largest solution.
x-3(x+1)
3 is the largest solution
suppose you shuffle a deck of cards and look at the top card 10 times. find the probablility that exactly 5 of the cards you see are hearts
The probability of seeing exactly 5 hearts out of 10 cards is\((13/52)^5 × (39/52)^5.\)
The probability of seeing exactly 5 hearts out of 10 cards can be calculated as follows: The total number of cards in a deck is 52. The number of hearts in a deck is 13. Since no card has been removed from the deck, the probability of seeing a heart is 13/52. The probability of seeing a non-heart is 39/52. Since we are looking at 10 cards, the probability of seeing exactly 5 hearts,
p(h)= 13/52
p(nh) = 39/52
hence, \((13/52)^5 × (39/52)^5\)
This means that the probability of seeing exactly 5 hearts out of 10 cards is \((13/52)^5 × (39/52)^5.\)
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plz help like i need it-
Answer:
dont know if its a good answer but
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
y
|
y
∈
R
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
sorry if put wrongly
Answer:
Step-by-step explanation:
What is the correct answer?
Answer:
pretty sure its B the degree is the biggest number of exonent and the leading coefficient is the number in front of the x that is the biggest. u can look up the graph for end behavior.
Step-by-step explanation:
#1 use the pythagorean theorem to find the missing side of each right triangle
Answer:
Step-by-step explanation:
1-13
2-8
I only require the explanation, not the answer.
The children in a class state how many children there are in their family.
The numbers they state are given below: 1, 2, 1, 3, 2, 1, 2, 4, 2, 2, 1, 3, 1, 2, 2, 2, 1, 1, 7, 3, 1, 2, 1, 2, 2, 1, 2, 3
So the question that I do not understand is:
Which is the most sensible average to use in the case.
The person with the most through explanation will get brainliest and will get awarded 75 points!
The most sensible average to use in this case would be the mode, which is the value that appears most frequently in the data set. In this case, the mode is 2, which appears 9 times in the data set. This means that the most common number of children in a family in the class is 2.
In this case, the most sensible average to use would be the mode, which is the number that appears most frequently in the data set. This is because the mode represents the most common number of children in the families of the children in the class, which is likely to be a more accurate representation of the typical family size in the class than the mean or median.
To find the mode, we first need to count how many times each number appears in the data set. In this case, the numbers 1, 2, 3, and 4 appear in the data set as follows:
1: 7 times
2: 11 times
3: 3 times
4: 1 time
We can see that the number 2 appears most frequently, with a count of 11. Therefore, the mode in this case is 2, and this is the most sensible average to use in this situation.
What is the volume of the following triangular pyramid?
Answer:
The volume of the triangular pyramid
V = 566.66 in³
Step-by-step explanation:
Step(i):-
The volume of the triangular pyramid
\(= \frac{1}{3} X base area X height\)
Base area = Area of the triangle
\(A= \frac{1}{2} X base X height\)
Given the base of the triangle (b) = 17in
Given Height of the triangle (h ) =10 in
\(A= \frac{1}{2}( 17 ) (10) = 85\)
The base area of the pyramid ( A) = 85 in²
Step(ii):-
Given the height of the pyramid (h) = 20in
The volume of the triangular pyramid
\(= \frac{1}{3} X base area X height\)
The volume of the triangular pyramid
= \(= \frac{1}{3}( 85)(20) = 566.66\)
Final answer:-
The volume of the triangular pyramid
V = 566.66 in³
phone models a particular cell phone company offers models of phones, each in different colors and each available with any one of calling plans. how many combinations are possible?
The number of combinations that are possible for 4 cell phone models of 6 colors with 5 calling plans is 120 .
We have to find the total number of combinations of cell phone models, colors, and calling plans,
So , we multiply the number of choices for each category.
By Using the multiplication principle of counting:
⇒ Total number of combinations = (number of phone models) × (number of colors) × (number of calling plans) ;
⇒ 4 × 6 × 5
⇒ 120
Therefore, there are 120 possible combinations of cell phone models, colors, and calling plans from this particular cell phone company.
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The given question is incomplete , the complete question is
A particular cell phone company offers 4 models of phones, each in 6 different colors and each available with an one of 5 calling plans. How many combinations are possible ?
A college student earns $50 per day delivering advertising brochures door-to-door, plus 50 cents for each person he interviews. How many people did he interview on a day when he earned $126?
The given problem presents a scenario of a college student who earns a certain amount of money by delivering advertising brochures door-to-door and interviewing people. We are given that the student earned a total of $126 on a particular day, out of which $50 came from delivering the brochures. Therefore, we can say that the student earned the remaining amount of $76 by interviewing people.
To determine the number of people the student interviewed, we need to use the information given about the rate of pay for the interviews. We know that the student earns 50 cents for each person he interviews. Thus, to find the number of people he interviewed, we can divide the amount he earned from interviews ($76) by the rate of pay per interview ($0.50). This gives us the equation:
Number of people interviewed = Amount earned from interviews / Rate of pay per interview
Substituting the values, we get:
Number of people interviewed = $76 / $0.50 = 152
Therefore, the college student interviewed 152 people on the day he earned $126.
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PLEASE HELP I AM SO BEHIND ON SCHOOL WORK !!!
Which equation represents the same line as the points in the table?
y=−3x+2y is equal to negative 3 x plus 2
y=−34x+83y is equal to negative 3 fourths x plus 8 thirds
y=2x−34y is equal to 2 x minus 3 fourths
y=−34x+2
Answer:
Use this site, it will help you in the long run.
Find the mean of the following data set. 42, 45, 58, 63 1. 42 2. 47 3. 52
Answer:
52
Step-by-step explanation:
42, 45, 58, 63
The mean is the sum divided by the number of terms
(42+ 45+ 58+ 63)/4
208/4
52
Answer:
Step-by-step explanation:
42 + 45 + 58 +631 + 422 + 473 + 52 = 1723
then divide by 7 to get 246.142857
hope this helps :)
ASAP PLS HELP ME WILL MARK U AS BRAINLIST
The measure of angle ABC is 132°.
The total measure of ABC and BCD is 180° because it is a straight angle.
If BCD is 48°, they ABC is 132°. You get this because you subtract 180° by 48°.
I need help down below (Topic: Algerba Domains)
The range of the graphs are
1. 3 ≥ y ≥ -22. 2 > y ≥ -33. 2 > y > -24. 0 ≥ y > -3What is range in geometry?In geometry, the range refers to the set of all possible output values that a function or relation can take. More specifically, it represents the set of all y-values that can be obtained from a given function or relation, based on its corresponding x-values.
Continuous range refers to a set of values that can take on any real number within a certain interval or domain, without any gaps or interruptions.
In other words, a continuous range can have an infinite number of possible values within a given range, and hence inequality is used to state the intervals of the possible values
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Find the present value of a sequence of annual payments of Rs 25000 each , the first being made at the end of 5th year and the last being paid at the end of 12th year, if money is worth 6%.
The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.
1: We can use the formula to calculate the present value of the annuity:
P = A x [1 - (1+i)^-n] / i
Where
P = Present Value
A = Annuity
i = Interest Raten = Number of payments
2: Calculate the present value of each payment using the formula:
P1 = 25000 / (1.06)⁵
P2 = 25000 / (1.06)⁶
P3 = 25000 / (1.06)⁷
P4 = 25000 / (1.06)⁸
P5 = 25000 / (1.06)⁹
P6 = 25000 / (1.06)¹⁰
P7 = 25000 / (1.06)¹¹
P8 = 25000 / (1.06)¹²
3: Substitute the values into the formula to find the present value:
P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8
P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)
P = 158620.39
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Prove that the equation x^2+px-1=0 for every p has two different solutions
Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
Discriminant D=p2−4(1)(−1)=p2+4
We know p2≥0 for all values of p
⇒p2+4≥0 (since 4>0)
Therefore D≥0
Hence the equation x2+px−1=0 has real and distinct roots for all real values of p
Jackson type 90 words in two minutes enter the number of words Jackson types of seven minutes at this rate
Answer: 45 i think
Step-by-step explanation: cause if you divide it it is 45 sorry if im wrong