Answer:
The equation of a line that is a vertical line has the general form:
\(x=k\text{.}\)Where k is a constant and all the points in such line have the form (k,y) where y is any real number. A table that would correspond to a vertical line would have the following form:
The above table has the characteristic that all x-entries are the same while the y-entries change without repeating.
Simplify. 4 × (8 + 5) + 9 45 46 61 62
Answer:
61
Step-by-step explanation:
4 × (8 + 5) + 9
Parentheses first
4 × (13) + 9
Then multiply
52 +9
Then add
61
Would really appreciate if someone helped me with this one please!
a) The value of x is 21
b) The value of the expression is 135.
c) The value of the expression is 135.
How to find the value of x?Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:
5*(x + 6) = 9*(x - 6)
We can solve that linear equation for x:
5x + 30 = 9x - 54
30 + 54 = 9x - 5x
84 = 4x
84/4 = x
21 = x
Then the measures of the angles are:
a1 = 5*(21 + 6) = 135°
a2 = 9*(21 - 6) = 135°
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Determine whether the graph represents a function?
None are correct
The relation is a function
The relation is not a function
The radius of a circle is 1 foot. What is the length of a 90° arc?
90°
r=1ft
Give the exact answer in simplest form.
According to the given data the length of a \(90^{0}\) arc is \(\pi /2\) or approximately \(1.57\) feet.
What is meant by length of arc?In geometry, the length of an arc is the distance along the curved line that makes up the arc. It is a measure of the "length" of a portion of a circle's circumference, and it is usually expressed in the same units as the circle's radius.
According to the given information:
The length of a \(90^{0}\) arc in a circle with radius \(1\) foot can be calculated using the formula:
Length of arc = (angle/\(360\)) x \(2\pi r\)
where angle is the central angle of the arc in degrees, r is the radius of the circle, and \(\pi\) is a mathematical constant approximately equal to \(3.14159\).
Substituting the given values, we have:
Length of arc = (\(90/360\)) x \(2\pi(1 ft)\)
Length of arc = \((1/4)\) x \(2\pi ft\)
Length of arc = \(\pi /2 ft\)
Therefore, the length of the \(90^{0}\) arc is \(\pi /2 feet\) or approximately \(1.57 feet\)
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the length of the 90° arc is π/4 feet or approximately 0.785 feet
What is arc of circle?
In geometry, an arc of a circle is a portion of the circle's circumference. It is defined by two endpoints and all points along the circle between those endpoints. The measure of an arc is typically given in degrees or radians and can be used to calculate various properties of the circle, such as its length, area, and sector angles.
The formula for the length of an arc is:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle of the arc in degrees, and r is the radius of the circle.
In this case, θ = 90° and r = 1 ft, so we have:
L = (90/360) × 2π(1) = (1/4) × π = π/4
Therefore, the length of the 90° arc is π/4 feet or approximately 0.785 feet (rounded to 3 decimal places).
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help please is for my son
Answer:
Step-by-step explanation:
A solution for x would mean that when you plugged in that value for x, the equation will be balanced and equal. It will make a true statement.
Ex. 100=100 is a true statement
whereas if you picked something wrong for x and got 100=50 that is not true.
podaj z dokładnością do dwóch miejsc po przecinku przybliżona wartość liczby 2,372, określ rodzaj przybliżenia oraz wyznacz błąd przybliżenia
Answer:
I don't know this language so yea sorry
Two trains, Train A and Train B, weigh a total of472 tons. Train A is heavier than Train B. The difference of their weights is 408 tons. What is the weight of each train?
Answer:
Train A weighs 440 tons
Train B weighs 32 tons
Step-by-step explain
\(\left \{ {{A +B=472} \atop {A-B=408}} \right.\)
\(\left \{ {{A+B=472} \atop {A=408 + B}} \right.\)
\(\left \{ {{(408 + B) +B=472} \atop {A=408+B}} \right.\)
\(\left \{ {{408+2B=472} \atop A=408+B}} \right.\)
\(\left \{ {{B=32} \atop {A=408+32}} \right.\)
\(\left \{ {{B=32} \atop {A=440}} \right.\)
Janet wants to purchase a new car. At the car dealership, a salesperson tells her she can choose from 10 car models, 7 exterior
colors, and 9 interior colors.
How many ways can Janet customize a car? Enter your answer as a whole number, like this: 425
evious
Janet has 630 options to customize a car based on the given features.
How to solve the question?
To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:
10 car models x 7 exterior colors x 9 interior colors = 630
Thus, Janet has 630 options to customize a car based on the given features.
It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.
Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.
In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.
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Convert into the following unit into 30 cm into miter
Answer:
it we'll be 0.3
Step-by-step explanation:
trust me man I like to explain but it's long
Answer:
0.3 meter or 3/10 meter
Step-by-step explanation:
As there are 100cm in 1 meter and you want to find 30cm in terms of meters.
It will be as
100cm = 1 meter (rule/lax)
100/100 cm = 1/100 meter (divide both sides of equation with 100)
1 cm = 1/100 meter
1 *30 cm = (1/100)*30 meter (multiply both sides with 30)
30 cm = 30/100 meter
30/100 more shortly can be written as 3/10 meter or in decimals 0.3 meter.
You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate
Answer:
The margin of error for this estimate is of 14.79 yards per game.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.093
The margin of error is:
\(M = T\frac{s}{\sqrt{n}}\)
In which s is the standard deviation of the sample and n is the size of the sample.
You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.
This means that \(n = 20, s = 31.61\)
What is the margin of error for this estimate?
\(M = T\frac{s}{\sqrt{n}}\)
\(M = 2.093\frac{31.61}{\sqrt{20}}\)
\(M = 14.79\)
The margin of error for this estimate is of 14.79 yards per game.
HELP PLS and thank u. Which describes a climate effect on the rate of weathering?
Cold climates favor mechanical weathering.
Chemical reactions occur slower at higher temperatures.
Lower precipitation levels lead to more chemical reactions.
The chemical reaction rates of minerals are not impacted by temperature.
Answers:
Cold climates favor mechanical weathering.Lower precipitation levels lead to more chemical reactions.The chemical reaction rates of minerals are not impacted by temperature.The options that describe the climate effect on a constant rate of weathering are cold climates favor mechanical weathering, lower precipitation levels lead to more chemical reactions, and the chemical reaction rates of minerals are not impacted by temperature.
Carry on Learning!
Step-by-step explanation:
cold climates favor mechanical weathering
how do you find the length of a side of a triangle when given the length of only one other side?
WE can find the sides if the triangle by apply the Sine rule :
\(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\)where, a,b & c are the sides of triangle
For eg :
Consider an triangle with one side AB = 5
and angles A = 60, angle B = 45 and angle C= 75
So, substitute the value in the expression of Sine
\(\begin{gathered} \frac{BC}{\sin A}=\frac{AC}{\sin B}=\frac{AB}{\sin C} \\ \frac{BC}{\sin 60}=\frac{AC}{\sin 45}=\frac{5}{\sin 75} \\ \text{ Substitute the values :} \\ \frac{BC}{\sin60}=\frac{AC}{\sin45}=\frac{5}{\sin75} \\ \frac{BC}{0.866}=\frac{AC}{0.707}=\frac{5}{0.965} \\ \text{ Simplify : }\frac{AC}{0.707}=\frac{5}{0.965} \\ \frac{AC}{0.707}=\frac{5}{0.965} \\ AC=\frac{5}{0.965}\times0.707 \\ AC=3.66 \\ \text{Now, Simplify: }\frac{BC}{0.866}=\frac{5}{0.965} \\ BC=\frac{5}{0.965}\times0.866 \\ BC=4.4 \end{gathered}\)The sides : AB = 5, AC = 3.66 & BC = 4.4
I have 0 idea what this even means? Does anyone know the answer and if you could possibly elaborate if you do? Very confused over here
Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.
How to determine the corresponding output value for this function?In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.
When x = 1, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(1) = ln(1).
f(1) = 0.
When x = 2, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(2) = ln(2).
f(2) = 0.69314718
When x = 1, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(1) = log₂(1)
g(1) = 0.
When x = 2, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(2) = log₂(2)
g(2) = 1.
In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.
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7
Ahegartymaths
Geometry & measure Vectors > 627-Vectors (6)-magnitude of a vector > Quiz
SO
Sofs
S
If a=
* |a|=-5√/2
9
-5).² find (al, giving your answer as a surd in its simplest form
▬▬
W
r
t
y
Hi can solve this question and give me the answer please I’m desperate
Answer:
Dave is always better when I'm getting back on yours
Step-by-step explanation:
i need helppp plsss
Answer:
Im pretty sure it's C U think it is
Two angles of a quadrilateral measure 60° and 160°. The other two angles are in a ratio of 3:11. What are the measures of those two angles?
Answer:
30 and 110 degrees
Step-by-step explanation:
The angles sum to 360 degrees
you have 60 + 160 = 220 leaving 140 more in a ratio 3:11
one is 3 / (3+11) = 3/14 3/14 * 140 = 30 the other is 110
Find an equation for the perpendicular bisector of the line segment whose endpoints are (5,5)(5,5) and (-9,9)(−9,9).
The equation of the perpendicular line is
y = (7/2)x + 14
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Line segment with two endpoints (5, 5) and (-9, 9)
The slope of the line segment.
m(1) = (9 - 5) / (-9 - 5) = 4 / -14 = -2/7
m(1) = -2/7
Now,
The equation of the perpendicular line.
y = m(2)x + c.
Since the line is perpendicular to the line segment.
m(1) x m(2) = -1
-2/7 x m(2) = -1
m(2) = 7/2
Now,
The perpendicular bisector passes through the midpoint of the line segment.
The midpoint of the line segment.
x = (5 - 9) / 2 = -4/2 = -2
y = (5 + 9) / 2 = 14/2 = 7
Now,
The equation of the perpendicular line.
y = m(2)x + c.
7 = 7/2 x -2 + c
7 = -7 + c
c = 7 + 7 = 14
Thus,
The equation of the perpendicular line is
y = (7/2)x + 14
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Which of the following are disadvantages of the mode?
For many sets of data there are multiple modes.
The mode is affected by extremely large and small values.
For many sets of data there is no mode.
the mode can only be computed for interval-level data or higher
The disadvantages of the mode are: For many sets of data there is no mode.
The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.
However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.
The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.
The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.
The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.
The correct option is: For many sets of data there is no mode.
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What is the distance between (-3,-5) and (-3, 2)?
Answer: 7 units
Step-by-step explanation:
Just plot the numbers, then count the distance between them
How much string would you need to go around the bottom of a hat shaped like a cone if the radius is 4 inches? (Use 3.14 for π)
Answer:
25.12 inches
Step-by-step explanation:
To find the circumference or the perimeter of a circle it is the diameter times pi. (pi = 3.14) Or you can do radius times 2 times pi.
Answer is 4 times 2 times 3.14 which is 25.12
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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Given: AAEB and ADFC, ABCD, AE || DF, EB || FC, AC = DB
Prove: AEAB AFDC
By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.
Proving that Triangles are EqualGiven:
- Triangle ΔAEB and ΔDFC
- Line ABCD is straight (implies AC and BD are collinear)
- AE is parallel to DF
- EB is parallel to FC
- AC = DB
To prove: ΔEAB ≅ ΔFDC
Recall that:
AE || DF
EB || FC
AC = DB
AE || DF, EB || FC (Parallel lines with transversal line AB)
Corresponding angles are congruent:
∠AEB = ∠DFC (Corresponding angles)
∠EAB = ∠FDC (Corresponding angles)
Corresponding sides are proportional:
AE/DF = EB/FC (Corresponding sides)
AC/DB = BC/DC (Corresponding sides)
AC = DB
BC = DC (Equal ratios)
ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)
∠EAB = ∠FDC
∠AEB = ∠DFC
AC = DB, BC = DC
Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.
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Joseph Selects a card from a standard deck of 52 cards and then replaces it afterwards he decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick he then constructs a graph to visualize his results
The answer to the given question is Option B.
Probability means possibility. A branch of mathematics that deals with the occurrence of random events. Probability is a measure of the likelihood of an event occurring. Many events cannot be predicted with absolute certainty.We can only predict the probability that an event will occur. H. Possibility of using it. Probabilities can range from 0 to 1. 0 means the event is not possible, 1 indicates the specific event. For example, if you toss a coin, you get either heads or tails. There are only two possible outcomes (H, T). But if you toss two coins in the air, three events can occur, such as ), (T, T). Probability of an event occurring P(E) = number of favorable outcomes/total number of outcomes.At no point can we distinguish between diamonds and hearts, as we are only interested in finding red cards. as a result,
The wrong statement is:
For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.
Therefore, the ultimate answer to the given question is Option B.
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The question is incorrect, The correct question is
Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?
A. The theoretical probability for selecting a red card in each pick is 0.5.
B. For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.
C. This is an example of the law of large numbers.
D. The relative frequency of selecting a red card changes with the increase in number of selections.
You want to purchase a new car in 4 years and expect the car to cost $76,000. Your bank offers a plan with a guaranteed APR of 4.5 %if you make regular monthly deposits. How much should you deposit each month to end up with $76,000 in 4years?
Monthly you should deposit approximately $43 to accumulate $76,000 in 4 years.
Given that,
f = $76,000
r = 4% = 0.04/12 = 0.0033
n = 4×12 = 48
We know that, a = (f×r)/((1+r)ⁿ⁻¹)
a is the annuity.
f is the future amount.
r is the interest rate per time period.
n is the number of time periods.
Here,
a = (76,000 ×0.0033)/((1.0033)⁴⁸⁻¹)
a = 76,000 ×0.0033×0.17132
a = 42.96
a ≈ $43
Therefore, monthly you should deposit approximately $43 to accumulate $76,000 in 4 years.
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What is the value of x?
07
0 7√2
O
O 14
O 14√/2
45°
7√2
The value of the side length x is equal to 14 using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
sin45 = 7√2/x {opposite/hypotenuse}
√2/2 = 7√2/x {sin45 = √2/2}
x = 7√2 × 2/√2 {cross multiplication}
x = 7 × 2
x = 14
Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.
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In a basketball game, the home team was down by
1 points at the end of the game. They only scored 3 points for every 4
points the visiting team scored. What was the final score of the game?
The final score of the visiting team is 4 points and the home team's points is 3 points.
The home team only scores 3 points for every 4 points the visiting team scored in the basketball game.
By the end of the game, the home team was down by 1 point.
Let's say the visiting team scored 4 points and the home team scored 3 points. Hence, the home team is down by 1 point.
Now, if the visiting team scored again.
Then the score of visiting team: 8 points and the home team: 6 points.
Hence, the home team is down by 2 points.
As we go along, the point difference between the home team and the visiting team will only increase.
Therefore, the final score of the team will be:
Visiting team = 4 points
Home team = 3 points
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What are the next 4 terms of the sequence 1, 6, 11...?
OA) 15, 19, 23, 27
B) 16, 21, 26, 31
OC) 6, 1, -4,-9
D) 18, 26, 35, 45
483 calories and serves 3.5 people . How many calories in each serving?
Answer:
138
Step-by-step explanation:
483/3.5=138
Answer:
The answer is 138, simple math If you know what your doing :)
Step-by-step explanation:
483/3.5=138
Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form P(−6, 3), y + 3x = −14
-7x - 3 equals 5x + 3
solve for x
Answer:
x = -0.5
Step-by-step explanation:
-7x-3=5x+3
+7x +7x
-3=12x+3
-3 -3
-6=12x
x=-0.5