Answer:
The measure of the central angle in radians is 5.6/8 = 0.7 radians.
Precalc question below.
The number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.
We have,
To determine the number of additional copies you could ship if you ordered 128 copies instead of 127 copies, we need to compare the costs of ordering each quantity using the given function C(n).
For n = 127:
C(127) = $6.91 x 127 = $878.57
For n = 128:
C(128) = $5.16 x 128 = $660.48
By subtracting the cost of ordering 127 copies from the cost of ordering 128 copies, we can determine the cost difference:
Cost difference = C(128) - C(127)
= $660.48 - $878.57
= -$218.09
Since the cost difference is negative, it means that ordering 128 copies is cheaper than ordering 127 copies.
However, the question asks for the number of additional copies, so we need to consider the whole number of copies.
Rounding down to the nearest whole copy, the number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.
Thus,
The number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.
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What is the slope below
Answer: -5/4
Step-by-step explanation:
What two whole numbers does sqrt 3 11 lie between
The third root of 11 lies between the whole numbers 2 and 3.
How to estimate a non-exact square root?The estimate of a non-exact root of x is done finding two numbers, as follows:
The greatest number less than x that is a perfect root, which we call a.The smallest number greater than x that is a perfect root, which we call b.The number for this problem is given as follows:
Cubic root of 11.
For the parameters, we have that:
The cube of 2 is of 2³ = 11.The cube of 3 is of 3³ = 27.Hence the third root of 11 lies between 2 and 3, as 2³ < 11 < 3³.
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Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?
No. There are x values which map to more than 1 y-value.
Yes. Every y-value maps to exactly 1 x-value.
No. There are y-values which map to more than 1 x-value.
Yes. Every x-value maps to exactly 1 y-value.
No, there are x values which map to more than 1 y-value.
Given that Matthew examines the relation as shown in the below.
{(4, -11), (3,1), (0,1), (2,6), (3, -1)}
We need to check whether the relation is a function or not,
So, we know that,
A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.
If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.
Here we can see that the y values are repeated, so it is not a function.
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Solve the system of equations using elimination. 6x + 6y = 36 5x + y = 10 (1, 5) (2, 0) (3, 3) (4, 2)
Answer:
begin equation begin cases x = 1y = 5 end cases end equation. Rearrange like terms to the same side of the equation
Step-by-step explanation:
begin equation begin cases x = 1y = 5 end cases end equation. Rearrange like terms to the same side of the equation
In art class students are mixing blue and red paint to make purple paint. Cameron mixes 5 cups of blue paint and 8 cups of red paint. Dianelys mixes 7 cups of blue paint and 10 cups of red paint. Use Cameron and Dianelys’s percent of red paint to determine whose purple paint will be redder.
Aaron flips a penny 100 times. HEADS comes up 58 times. Based on Aaron's experiment, what is the probability that TAILS turns up when a penny is flipped 100 times? Compare the theoretical probability of HEADS coming up to Aaron's experimental probability.
A. 21/50 ; 1/2 < 29/50
B. 29/50 ; 1/2 < 29/50
C. 21/50 ; 1/2 = 1/2
D. 21/50 ; 21/50 <29/50
Answer:
Number of TAILS outcomes = 100 - 58 = 42
Experimental probability of TAILS = Number of TAILS outcomes / Total number of outcomes = 42/100 = 0.42
The theoretical probability of getting HEADS or TAILS is 0.5 each, assuming the penny is fair.
The experimental probability of HEADS is 58/100 = 0.58, which is close to the theoretical probability of 0.5. This suggests that Aaron's experiment is consistent with the theoretical probability. Similarly, the experimental probability of TAILS is 0.42, which is also close to the theoretical probability of 0.5. This further supports the idea that the penny is fair.
How many fewer people in the 18-25 year age group have
some form of technology career compared to all other
age groups combined?
Technology Career types for
different age groups (as a number)
41+ yrs
36-40 yrs
26-35 yrs
18.25
690
782
1.784
1673
24312
3.215
2.709
3.567
4.673
14326
15,822
Please select the correct answer from the options
shown.
a. 26,191
b. 28,345
c. 30,139
d. 33,469
Given statement solution:- The fewer people in the 18-25 year age group result is negative, it indicates that the 18-25 year age group has more people with some form of technology career than all other age groups combined. None of the options provided (a, b, c, d) are correct.
To find the number of fewer people in the 18-25 year age group with some form of technology career compared to all other age groups combined, we need to sum up the technology career numbers for all age groups except the 18-25 year age group and then subtract it from the number for the 18-25 year age group.
Sum of technology career numbers for age groups other than 18-25 years:
(41+ yrs) + (36-40 yrs) + (26-35 yrs) = 24312 + 3.215 + 2.709 = 24318.924
Number of fewer people in the 18-25 year age group compared to all other age groups combined:
1673 - 24318.924 = -22645.924
Since the fewer people in the 18-25 year age group result is negative, it indicates that the 18-25 year age group has more people with some form of technology career than all other age groups combined. Therefore, none of the options provided (a, b, c, d) are correct.
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Se está construyendo una escalera que inicia a 4.10 m para alcanzar una altura de 2.35 m calcular la longitud de la escalera y cual es su ángulo de elevación 0 .
The length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.
Using the Pythagorean theorem:
Length of the ladder = √(height² + horizontal distance²)
= √(2.35² + 4.10²)
= √(5.5225 + 16.81)
= √22.3325
≈ 4.72 meters
To calculate the angle of elevation (θ), we can use the trigonometric function sine:
sin(θ) = height / length of the ladder
θ = arcsin(height / length of the ladder)
θ = arcsin(2.35 / 4.72)
θ ≈ 30.4 degrees
Therefore, the length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.
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The Translation of given question is:
A ladder is being constructed that starts at 4.10 m and reaches a height of 2.35 m. Calculate the length of the ladder and its angle of elevation.
Find the value of 3a when a = -4.
(b)- 7
(d) -12
(a) 7
(c) 12
Answer:
(d) -12
Step-by-step explanation:
3a = _____
a = -4
3(-4) = ___
3(-4) = -12
The answer is (d) -12
Which expression is equal to 3√5/√11
A.√33/5
B.3√55/11
C.3√55/√11
D.O√55/11
Answer:
B
Step-by-step explanation:
3√5/√11 = 2.02
3√55/11 = 2.02
so,
3√5/√11 = 3√55/11
1. Explain and illustrate the difference between and (4) 2. Explain and illustrate the difference between ratio and proportional reasoning. Do not copy definitions from any source but use your own understanding. (4) 3. Illustrate with a drawing or diagram what "fifth" means in each of the following instances: ordinal number unit fraction 4. Show with a diagram 3, using the following: 1.1 the area model 1.2 set mode 1.3 the length model (3) 2. A rectangular piece of paper has a perimeter of 54 cm. Its length is 1 of its width. Find its dimensions. (3) 3. If the given regular hexagon represents one whole: 3.1 Show three sixths. 3.2 Write the equivalence 6.1 above. Represent in the figure given to prove that a set of two halves 3 3 + 6 6 make a whole. 6.3.1 Draw a number line showing a whole made of six equal parts. Show the sum of two halves on the same number line. 6.3.2 Show how you would teach equivalence to grade 4 learners using the number line provided. Your focus should be on the Preparatory MTE1502/102/0/2023 strategy in 5.2 in your study guide. Follow the steps and show how you would unpack the process to solve the problem given. 3 10 of her birthday cake and ㅈ the cake was bought for the birthday? 7.2What fraction is missing to make the cake whole? 7.1 Mavis ate ate of it. What fraction of (4) (1) (1) (2) (3) (3) (2) (2) 3 3/6
The difference between 1/5 and 2/10 is that they are different representations of the same value.
The ratio is a comparison of two quantities while proportional reasoning involves finding an equivalent ratio.
"Fifth" can refer to the ordinal number of a position or the unit fraction 1/5.
The diagram can be used to illustrate fraction concepts.
How to solve1/5 is simple, but 2/10 can be reduced to 1/5 by dividing both numbers by 2. They are both 0.2 or 20%. 1/5 and 2/10 are different fractions with different purposes.
Use 1/5 for 5 parts and 1/5 (simplified from 2/10) for 10 parts. 1/5 and 2/10 = 0.2, ratio reasoning emphasizes ratios between quantities. A 2:3 boys-to-girls ratio compares the constant ratio between changing quantities.
Proportional reasoning maintains constant ratios between quantities, while ratio reasoning uses fractions or ratios to compare relationships. For instance, if distance doubles, so does speed.
Step 3/5: "Fifth" is the ordinal number for the object five places away in a sequence. See diagram. The fifth circle is 1/5 of a whole in unit fraction sequence. Imagine a rectangle divided into five equal parts, each shaded to show 1/5. Shaded part = 1/5 of whole.
To show 25/7 with area model, make 7x25 rectangle and split into 7 equal parts. 25/7 per part.
1.2 The set model:
To represent 25/7, divide 25 objects into 7 equal sets, resulting in 3 objects per set with 1 left over. This represents the fraction of 25/7.
1.3 The length model:
To show 25/7 on a length model, draw a line of 25 units and divide it into seven equal parts. Each part represents 1/7 or 25/7.
Step 5/5
Let's assume the width of the rectangular piece of paper as x cm. Then the length of the paper would be:
Now we know that the perimeter of the rectangle is given by the formula:
So, for this rectangle:
54 = 2(5x + x)
Simplifying and solving for x, we get:
54 = 2(6x)
27 = 6x
x = 4.5 cm
Therefore, the width of the paper is 4.5 cm and the length is 5 times the width which is 22.5 cm.
The difference between 1/5 and 2/10 is that they are different representations of the same value.
The ratio is a comparison of two quantities while proportional reasoning involves finding an equivalent ratio.
"Fifth" can refer to the ordinal number of a position or the unit fraction 1/5.
The diagram can be used to illustrate fraction concepts.
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Find a and b such that f(x) can be written as f(x) = (x +a) (5) 3 −b
The value of variables a and b are,
a = - 4,
b = - 2
WE have to given that;
Function is,
⇒ f (x) = x³ - 12x² + 48x - 62
Now, We can simplify for change the function in the form of
f (x) = (x + a)³ + b as;
⇒ f (x) = x³ - 12x² + 48x - 62
⇒ f (x) = x³ - 12x² + 48x - 62 - 2 + 2
⇒ f (x) = (x - 4)³ + 2
Hence, We get;
By comparing we get;
a = - 4,
b = - 2
Thus, The value of variables a and b are,
a = - 4,
b = - 2
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Please help and thank you so much
Answer:
SSS∆KLM ~ ∆UTSStep-by-step explanation:
You want to know the postulate used to declare the triangles similar, and the corresponding similarity statement.
Side ratiosThe side length ratios of the larger triangle are ...
45 : 63 : 90 = 5 : 7 : 10 . . . . . divide by 9
For the smaller triangle, they are ...
25 : 35 : 50 = 5 : 7 : 10 . . . . . divide by 5
The ratios of the three side lengths are the same, so the triangles are similar by the SSS postulate.
Similarity statementOne triangle is designated as ∆KLM. In terms of (reduced) ratio units, the sides in order are ...
KL = 10, LM = 7, MK = 5
The corresponding sides in the smaller triangle are ...
UT = 10, TS = 7, SU = 5
This means the similarity statement must be written as ...
∆KLM ~ ∆UTS . . . . . . matches the last choice
__
Additional comment
It is generally helpful to list the sides in some recognizable order (here, longest to shortest) so that the correspondence is clear.
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Can somebody please help me please
The correct solution is,
D. Mean = 50.4,
Variance = 27.2,
Standard deviation = 5.2.
Now, Formula for the mean, variance, and standard deviation of the given values,
Mean (μ) = (Σx) / n
Variance (σ) = (Σ(x-μ)) / n
Standard deviation (σ) = sqrt(σ)
where: Σx = sum of the values
Σ(x-μ)² = sum of the squared differences between each value and the mean
n = number of values
Substituting the given values into these formulas, we get:
Mean (μ) = (50 + 46 + 53 + 51 + 52) / 5
Mean (μ) ≈ 50.4
Variance (σ) = [(14 - 50.4)² + (50 - 50.4)² + (-0.4 - 50.4)² + ... + (2.6 - 50.4)] / 13
Variance (σ) ≈ 27.2
Standard deviation (σ) = √(27.2)
Standard deviation (σ) ≈ 5.2
Therefore, the correct answer is,
D. Mean = 50.4,
Variance = 27.2,
Standard deviation = 5.2.
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Brian is decorating a rectangular bulletin board. He wants to add trim along both diagonals. If MN = 4x - 0.1 meters and NK = 2x + 0.4 meters, then how many meters of trim will Brian need?
The measure of the diagonal of given rectangular bulletin board is 6x+0.3 meters.
Given that, MN=4x-0.1 meters and NK=2x+0.4 meters.
Here, diagonal = MK=MN+NK
= 4x-0.1+2x+0.4
= 6x+0.3
Therefore, the measure of the diagonal of given rectangular bulletin board is 6x+0.3 meters.
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I need help please!!!
Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.
I prefer Wills method because it is easier and less complicated.
How to solve differences?Wills method:
(5x + 6x) - (2x - 1)
Subtract both 2x and -1
5x + 6x - 2x - - 1
5x + 4x + 1
In conclusion, Wills method is preferred when both methods are compared.
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Need help with this question
The height d as shown in the right angled triangle is 4.95.
What is height?Height is the vertical distance between two points.
To calculate the height d as shown in the right angled triangle, we use the formula below
Formula:
d = hcos∅.............. Equation 1From the diagram in the question,
Given:
h = 7∅ = 45°Substitute these values into equation 1
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What is the answer???
Answer:
2ab(b + 4 - 3a)
Step-by-step explanation:
a^2b + 2ab^2 + 8ab - 7a^2b
= 2ab^2 + 8ab + a^2b - 7a^2b
= 2ab^2 + 8ab - 6a^2b
= 2(ab^2 + 4ab - 3a^2b)
= 2a(b^2 + 4b - 3ab)
= 2ab(b + 4 - 3a)
the value of eva's car is $9000 this value decreased by 15% work out the new value of evs car
Answer:
Step-by-step explanation:express the 15% as a fraction divided by 100.Multiply the result by $9000.
The result is $ 1350
Subtract the result from new price of the car.$9000-$1350
=$7650
An investment of $2000 is put in account that earns 4% interest, compounded quarterly. Find the amount of money, rounded to the nearest dollar, in the account after
8 years.
Use the formula A = P(1+r/n)^nt to help you find the answer.
Answer: $275
Step-by-step explanation:
A certain airline requires that carry-on luggage is designed to fit within a rectangular prism with a length of 22 inches, a height of 14 inches, and a width of 9 inches. What is the maximum possible volume of a piece of carry-on luggage?
The maximum possible volume for a piece of carry-on luggage is given as follows:
2772 cubic inches.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The dimensions for this problem are given as follows:
22 inches, 14 inches and 9 inches.
Hence the volume is given as follows:
22 x 14 x 9 = 2772 cubic inches.
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Haley try to solve the equation log⇩4 2x=5. She got the wrong answer. What was her mistake? What should the correct answer be?
Help DUE! ASAP HELP ASAP
Answer:
Step-by-step explanation:
[tex]log_{4}2x = 5 \\2x = 4^5\\2x = 2^{10}\\x = \frac{2^{10}}{2}\\ x = 2^9\\x = 512[/tex]
Mistake is in step - 3 .
find the expected value of the winnings from a game that has the following payout I cannot proceed without your help :)
The expected value of the winnings from the game is $3.24.
To find the expected value of the winnings, we multiply each possible payout by its corresponding probability and sum them up.
Expected Value = (2 x 0.64) + (4 x 0.18) + (6 x 0.12) + (8 x 0.04) + (10 x 0.02)
Expected Value = 1.28 + 0.72 + 0.72 + 0.32 + 0.20
Expected Value = 3.24
Therefore, the expected value of the winnings from the game is $3.24.
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a) Write a direct variation equation that represents the situation of a group of snow geese migrating 375 miles in 7.5 hours.
C
b) Every year geese migrate 3,000 miles from their winter home in the southwest United States to their summer home in the Canadian Arctic. How many hours of
flying time does it take the geese to migrate? (Use your equation from part a)
Answer:f=60a(60)
hope this helps bye
Boris is playing a role playing game with his friends. He will roll dice to determine if his character casts a spell. The odds in favor of his character casting a spell are 8/7. Find the probability of his character casting a spell.
The Probability of Boris' character casting a spell is 8/15, based on the given odds in favor of 8/7.
The probability of Boris' character casting a spell, we can use the odds in favor of casting a spell. The odds in favor are given as 8/7.
Odds in favor of an event are calculated as the ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the favorable outcomes are the instances where Boris' character casts a spell, and the unfavorable outcomes are the instances where his character does not cast a spell.
Let's represent the probability of casting a spell as P(casting spell). We can use the formula for odds in favor to find the probability:
Odds in favor = Favorable outcomes / Unfavorable outcomes
8/7 = Favorable outcomes / Unfavorable outcomes
To solve for the probability, we need to convert the odds into a fraction. We can do this by considering the odds as a ratio of favorable outcomes to the total number of outcomes.
The odds can be written as:
8/(8+7) = Favorable outcomes / (Favorable outcomes + Unfavorable outcomes)
8/(8+7) = Favorable outcomes / Total outcomes
8/15 = Favorable outcomes / Total outcomes
Since the total outcomes represent all possible outcomes, the denominator represents the total number of outcomes, which includes both the favorable and unfavorable outcomes.
Therefore, the probability of Boris' character casting a spell is 8/15.
In summary, the probability of Boris' character casting a spell is 8/15, based on the given odds in favor of 8/7.
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Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.
The solution is, After decreasing £16870 by 3% we get, £16363.90.
Here, we have,
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
First, find the percentage of £16870 by 3%
%value = 3% * 16870
= (3 / 100) * 16870
= 506.1
Now, just minus with actual value
New value = actual value - %value
We know, actual value = £16870 and %value = 506.1
so, New value = 16870 - 506.1
we get, New value = £16363.90
Therefore, After decreasing £16870 by 3% we get, £16363.90
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complete question:
Decrease £16870 by 3%
Give your answer rounded to 2 DP.
A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 22% and 32% of the residents supports the plan. What is the margin of error on the survey? Do not write ± ± on the margin of error.
Answer:
[tex]\Huge \bold{\boxed{\boxed{\text{5\%}}}}[/tex]
Step-by-step explanation:
To calculate the margin of error for the survey, we need to use the formula:
[tex]\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}[/tex]
The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:
[tex]\large \text{Range of values = 32\% - 22\% = 10\%}[/tex]
Substituting this value into the formula, we get:
[tex]\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}[/tex]
Therefore, the margin of error on the survey is 5%.
In the equation, y = 2 sin
000
A
B
с
O
1
x, which statements are true? Select all that apply.
2
The period is 4π
The amplitude is 2
The period is
1
2
76
The amplitude is-
2
The period of the function is 4π, and the amplitude is 2.
Given data ,
Let the function be represented as f ( x ) = y
Now , the value of f ( x ) is
y = 2sin ( 1/2 )x
To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).
In this case, the amplitude (A) is 2.
The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.
To find the period, we can use the formula:
Period = (2π) / |B|.
B = 1/2.
Period = (2π) / |1/2|
P = (2π) / (1/2) = 2π * 2/1 = 4π
Hence , the period of the function is 4π, and the amplitude is 2.
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Help please!! Thank youuuuu!!!
I’ll give brainliest if you show work as well.
The value of x from given parallel lines is 2.
In the given figure, three lines are parallel and two lines are passing through.
When three or more parallel lines are cut by two transversals, the line segments formed are proportional.
That is, 2x/x = (x+4)/(4x-5)
2/1 = (x+4)/(4x-5)
2(4x-5)=1(x+4)
8x-10=x+4
8x-x=4+10
7x=14
x=2
Therefore, the value of x from given parallel lines is 2.
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