Solution:
Given:
A histogram showing number of strings against broken lights per string.
To get the number of strings between 41 and 50 broken lights, we look at the bar representing 41-50 number of broken lights on the x-axis and trace it to the number of strings on the y-axis.
This is shown below;
From the above, it can be deduced therefore that the number of strings that had between 41 and 50 broken lights is 7.
PLEASE ACCOMIDATE I WILL GIVE 5 STAR IF AWNSER
A six-sided composite figure. A vertical line on the left is labeled 4 meters. The base is labeled 9 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 3 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled.
What is the total area of the figure?
75 m2
63 m2
61.5 m2
45 m2
Based on the description, the total area of the figure would be 45 square meters.
How to find the total area of the figure?To find the total area of the figure, we need to divide it into two triangles and one rectangle.
The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.
The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.
Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:
36 + 4.5 + 4.5 = 45 square meters
So the answer is 45 m2.
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Get it right please.
A zoologist recorded the speed of two cheetahs. Cheetah A ran 17 miles in 8 minutes. Cheetah B ran 56 miles in 20 minutes. Which statement is correct?
Cheetah A has a higher ratio of miles per minute than Cheetah B because 17 over 8 is less than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is greater than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20.
Both cheetahs have the same ratio of miles per minute.
The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."
also "get it right please" ?! how rude
what is the formula for this seqyence 5,10,20,40,80
Answer:
2x
Step-by-step explanation:
5, 10, 20, 40, 80
each step is multiplying by 2, therefore the sequence is 2x
Which expression is equivalent to 4^7/8
4^1/4?
At the beginning of an experiment, a scientist has 296 grams of radioactive goo. After 135 minutes, her sample has decayed to 9.25 grams.
What is the half-life of the goo in minutes? (Round to one decimal place)
The half-life of the goo is
Find a formula for
G
(
t
)
, the amount of goo remaining at time
t
.
G
(
t
)
=
How many grams of goo will remain after 38 minutes? (Round to one decimal place)
There will be
grams of goo after 38 minutes.
The half-life of the radioactive goo is approximately 41.82 minutes. The formula for the amount of goo remaining at time t is G(t) = 296 * (1/2)^(t/41.82). After 38 minutes, there will be approximately 66.5 grams of goo remaining.
To find the half-life of the radioactive goo, we can use the formula for exponential decay:
N(t) = N₀ * (1/2)^(t/h)
where N(t) is the amount of goo remaining at time t, N₀ is the initial amount of goo, t is the time elapsed, and h is the half-life of the goo.
In this case, N₀ = 296 grams, N(t) = 9.25 grams, and t = 135 minutes. We can plug these values into the formula and solve for h:
9.25 = 296 * (1/2)^(135/h)
To solve for h, we can take the logarithm of both sides:
log(9.25) = log(296) + (135/h) * log(1/2)
Simplifying further:
(135/h) = (log(9.25) - log(296)) / log(1/2)
(135/h) ≈ -3.2279
h ≈ 135 / (-3.2279)
h ≈ -41.82
Since the half-life cannot be negative, we take the absolute value:
half-life ≈ 41.82 minutes (rounded to one decimal place)
The formula for the amount of goo remaining at time t (in minutes) can be written as:
G(t) = 296 * (1/2)^(t/41.82)
To find the amount of goo remaining after 38 minutes, we can substitute t = 38 into the formula:
G(38) = 296 * (1/2)^(38/41.82)
G(38) ≈ 66.5 grams (rounded to one decimal place)
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Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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You sell candy at a football game for $1.50 each. You paid $50 for 300 candy bars. what is the domain and range for your profit?
Answer:
Domain is number of candy or 300
Range is profit from selling candy or $50
Step-by-step explanation:
Domain is the numbers you are allowed to use in your function. In this case, it would be the amount of candy you sold.
The range is the output from inputting the number(s) in the domain. In this case, the range is the amount of money you profit.
Profit=(amount gained)-(amount lost)
amount gained is from selling candy
amount lost is what you invested to get the candy
amount gained=(cost per candy)X(number of candy)
amount gained=(1.50)(300)
amount gained=$450
amount lost=$50
therefore
Profit=450-40=$400
a function for profit can be as follows:
P(x)=1.5x-c
where amount you sold each candy for, c is cost for those x candies, and P(x) is the profit for x candies
Evaluate.
-5(3)(-1)(-3)
2040
3. The main engine alone on a rocket can consume the allotted
fuel supply in two-thirds the time it takes the auxiliary engine
alone. Working together they both consume their allotted fuel
in 36 seconds. Formulate an equation to represent the
situation. How long could each be fired alone?
Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine
What is the equation to represent the situationLet's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.
From the first piece of information, we know:
t₁ = (2/3)t₂
From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:
t₁ + t₂ = 36
Now we can substitute the first equation into the second:
t₁ + (2/3)t₂ = 36
Combining like terms:
t₂ = 21.6
Finally, substituting t₂ back into the first equation:
t₁ = (2/3)(21.6) = 14.4
So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.
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provide an interpretation for V^-1(80)=
9514 1404 393
Answer:
the input that will cause function V to have an output of 80
Step-by-step explanation:
The interpretation of a function V(x) is ...
the output of function V that corresponds to the input x
__
The corresponding interpretation of the inverse function V^-1(x) is ...
the input to function V that will cause its output to be x
__
Then the meaning of V^-1(80) is ...
the input to function V that will cause its output to be 80
** What is the value of T 6) for the function Rx)=x-??
We have the function:
\(f(x)=\frac{1}{2}x-7\)And want to now the value of f(-6), so we need to evaluate the function f(x) at x=-6, this means replace x by -6 in the expression of f(x), so:
\(\begin{gathered} f(-6)=\frac{1}{2}\cdot(-6)-7 \\ f(-6)=-\frac{6}{2}-7 \\ f(-6)=-3-7=-10 \end{gathered}\)So f(-6) = -10
The graph of a linear relationship contains the points (1,10) and (3,16) write the equation of the line in slope
Answer:
Step-by-step explanation:
The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.
Answer y == 3
+7
Step-by-step explanation:
The graph of a linear relationship contains the points (1, 10) and (3, 16).
Write the equation of the line in slope-intercept fo
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
b is the y-intercept - the y value when x = 0.
for the slope we see
x changes by +2 (from 1 to 3)
y changes by +6 (from 10 to 16)
so, the slope a is +6/+2 = 3
and the semi-ready equation is
y = 3x + b.
now we use one of the points in the equation to solve for b. I picked (1, 10) :
10 = 3×1 + b = 3 + b
b = 7
so, the full equation is
y = 3x + 7
Write the Roman Numeral CXXXIV in standard???
Answer:
Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add
C=100 3X=30 IV=4
100+30+4=134
CXXXIV=134
Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) C 540 a 3.0, 4.0, LA = C = Solve triangle ABC. (If an answer does not exist,, enter DNE. Round your answers to one decimal place.) b 69 35, LA 72° C = C = a = Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a 28, b = 39, c 29 LA = Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) = 17, 13, c 22 a = LA= o Sketch the triangle 500 LA B 770 C = 270 c 270 50° 77 50° 770 270 A A A 770 50° 270 270 50° 77 C A Solve the triangle using the Law of Sines. (Round side lengths to the nearest integer.) a = b Sketch the triangle. 100° LA = 270, C=60 C 100° 60 100° 27 27° C 60 C C 270 60 100° 27 100° A 60 A Solve the triangle using the Law of Sines. (Round side lengths to one decimal place.) a = b =
The measures of the lengths of the sides and angles of the triangles found using the law of cosines and the law of sines are presented as follows;
Question 1
∠A = 47.35°
∠B = 78.65°
c = 3.3
Question 2
∠B = 78.24°
∠C = 29.76°
a = 67.03
Question 3
∠A = 45.77°
∠B = 86.417°
∠C = 47.813°
Question 4
∠A = 36.15°
∠B = 60.48°
∠C = 93.37°
Question 5
a = 258.98
b = 327.41
∠C = 53°
Question 6
a = 34.11
b = 73.987
∠C = 53°
What is the law of cosines?The law of cosines is a relationship between two sides (b and c) and the included angle, (∠A) and the third side (a) of the triangle.
Mathematically; a² = b² + c² - 2·b·c·cos(A)
Question 1
The dimensions of the triangle ΔABC are;
a = 3.0, b = 4.0, ∠C = 54°
The law of cosines indicates that we get;
c² = b² + a² - 2·b·a·cos(∠C)
Therefore;
c² = 3.0² + 4.0² - 2 × 3.0 × 4.0 × cos(54°) ≈ 10.893
c ≈ √(10.893) ≈ 3.3The law of sines indicates that we get;
sin(54°)/3.3 = sin(∠A)/3.0
∠A = arcsine(3 × sin(54°)/3.3) ≈ 47.35°∠B = 180° - 54° - 47.35° ≈ 78.65°Question 2
b = 69, c = 35, ∠A = 72°
a² = 69² + 35² - 2 × 69 × 35 × cos(72°) ≈ 4493.45
a ≈ √(4493.45) ≈ 67.03The law of sines indicates that we get;
sin(72°)/67.03 = sin(∠B)/69
∠B = arcsine(69 × sin(72°)/67.03) ≈ 78·24°
∠B ≈ 78.24°∠C = 180° - 72° - 78.24° ≈ 29.76°
∠C ≈ 29.76°Question 3
a = 28, b = 39, c = 29
a² = b² + c² - 2·b·c·cos(A)
cos(A) = (a² - (b² + c²)) ÷ (2·b·c)
Therefore; cos(A) = (28² - (39² + 29²)) ÷ (-2 × 39 × 29) ≈ 0.6976
∠A = arccos(0.6976) ≈ 45.77°sin(45.77)/28 = sin(B)/39
sin(B) = 39 × sin(45.77)/28 ≈ 0.998
∠B = arcsine(0.998) ≈ 86.417°∠C = 180° - 45.77° - 86.417° = 47.813°Question 4
a = 13, b = 17, c = 22
cos(A) = (13² - (17² + 22²)) ÷ (-2 × 17 × 22) ≈ 0.807
∠A ≈ arccos(0.807) ≈ 36.15°sin(36.15)°/13 = sin(∠B)/17
sin(∠B) = 17 × sin(36.15)°/13
∠B =50.48° ∠C = 180° - 36.15° - 50.48° ≈ 93.37°Question 5
The parameters of the triangle are; ∠A = 50°, ∠B = 77°, c = 270
Please find attached the sketch of the triangle in the correct option created with MS Word
∠C = 180° - 50° - 77° = 53°a/sin(50°) = 270/sin(53°)
a = sin(50°) × 270/sin(53°) ≈ 258.98
a = 258.98b = sin(77°) × 270/sin(53°) ≈ 329.41
b ≈ 329.41Question 6
The parameters of the triangle are;
∠A = 27°, ∠B = 100°, c = 60
Please find attached the drawing of the correct triangle
∠C = 180° - 27° - 100° = 53°
∠C = 53°
60/sin(53°) = a/sin(27°)
a = sin(27°) × 60/sin(53°) ≈ 34.11
b = sin(100°) × 60/sin(53°) ≈ 73.987
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Which of the following graphs represents a function? Choose all that apply.
how many values of x will satisfy the equation -2|3x-5|=0
Answer:
1 value
Step-by-step explanation:
spicifically 5/3
The x satisfy only 1 value and x is \(\frac{5}{3}\) .
What is modulus?The modulus function, which is also called the absolute value function gives the magnitude or absolute value of a number irrespective of the number being positive or negative. It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
According to the question
-2|3x-5|=0
Step1: Dividing -2 both side
|3x-5|=0
Step 2: Open modulus
3x-5=0 and - 3x+5=0
3x=5 and - 3x = - 5
x = \(\frac{5}{3}\)
Hence, the x satisfy only 1 value and x is \(\frac{5}{3}\) .
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Social Sciences teachers are not perfect, but they can all strive to be better.
Briefly discuss this statement with special reference to the characteristics of a senior phase Social Sciences teacher.
Answer:
Successful work of a social science teacher requires the professional knowledge and skills, critical thinking, aim for professional competence development and the following personal teacher qualities: communication skills, creative skills, fast orientation, thoroughness, honesty, diligence, personal responsibility, ...
Social Sciences teachers can all strive to be better by engaging in activities that will bring growth to the students and help them in their careers
A social science teacher is teacher that teaches the students subjects such as Economics, Geography, etc. A teacher should have a positive impact in the life of a student. They need to have the knowledge and the skills required to teach the students effectively.
In conclusion, the teachers can be better by improving their communication skills.
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math question!
pls help
question is in the pic
Answer:
C
Step-by-step explanation:
The angle is almost a full circle. A full circle would be 360,but since it is just hardly missing a piece ,that means it is 350. Simplistic explanation without the extra math,
The average of 5 numbers is 8.5. Four of the numbers are 9.2, 3.4, 6.5 and 7.4. What is
the fifth number?
Answer:5
Step-by-step explanation:
4.1.3 Bathu Sneakers have been looking into different shoebox sizes: a large box for male shoes and small box for female shoes. The cost of the cardboard to make the boxes is 0,502 cents/cm². Calculate the percentage savings Bathu Sneakers will make if the smaller box is used compared to the normal larger box. Larger Box Total Surface Area = 4 093 cm² 19 cm 26 cm 34,5 cm Smaller Box Total Surface Area = 3 034 cm² 25 cm 17 cm 26 cm (6)
Answer:
Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.
For the larger box:
Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²
Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)
For the smaller box:
Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²
Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.
Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)
The difference in cost between the larger and smaller boxes is:
20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)
The percentage savings can be calculated as follows:
Percentage savings = (difference in cost / cost of larger box) * 100%
= (5.33718 / 20.55986) * 100%
= 25.98%
Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.
A teacher has a 2-gallon (52 cup) container of juice. She gives each student z cup of juice. Which equation represents the amount of juice that remains, y, after x students are served?
Answer:
\(y = 32 - \frac{1}{2}x\)
Step-by-step explanation:
Given
\(Cups = 32\) ---- not 52
\(Students = x\)
\(Remainder = y\)
\(Each = \frac{1}{2}\) --- not z
Required
The equation for y
The remainder y is calculated as:
\(y = Cups - Students * Each\\\)
\(y = 32 - \frac{1}{2}x\)
Show work and number
The measure of length of the triangle is solved and
a) x = 4.9 units
b) x = 14 units
c) x = 4.8 cm
d) b = 68.5 units
Given data ,
Let the triangle be represented as ΔABC
where the measure of the lengths of the sides are given as
a)
The measure of hypotenuse AC = 12
The measure of angle ∠BAC = 66°
So , from the trigonometric relations , we get
cos θ = adjacent / hypotenuse
cos 66° = x / 12
So , x = 12 cos ( 66 )°
x = 4.9 units
b)
The measure of base of triangle BC = 20 units
And , the angle ∠BAC = 55°
So , from the trigonometric relations , we get
tan θ = opposite / adjacent
tan 55° = 20/x
x = 20 / tan55°
x = 14 units
c)
The measure of base of triangle BC = 4 cm
And , the angle ∠BAC = 57°
So , from the trigonometric relations , we get
sin θ = opposite / hypotenuse
sin 57° = 4/x
x = 4 / sin 57°
x = 4.8 cm
d)
The measure of base of triangle BC = 38 units
And , the angle ∠BAC = 61°
So , from the trigonometric relations , we get
tan θ = opposite / adjacent
tan 61° = b/38
b = 38 x tan 61°
b = 68.5 units
Hence , the trigonometric relations are solved.
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Please see screenshot.
Answer:
See below
Step-by-step explanation:
What is the equation of the line that is parallel to the line defined by the equation y = 3x−7 and goes through the point (4, 2)?
Answer:
\(y-2=3(x-4)\)
Step-by-step explanation:
Pre-SolvingWe are given a line contains the point (4, 2).
We also know that the line is parallel to y= 3x - 7.
We want to write the equation of this line.
Parallel lines have the same slopes.
First, let's find the slope of y = 3x - 7.
3 is in the place of where m (the slope) is, so that means it is the slope of that line.
It is also the slope of the line whose equation we want to write.
The equation of the line can be written in three ways:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. a and b cannot be 0, and a is usually non-negative as well. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point.All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.
SolvingSubstitute 3 as m in \(y-y_1=m(x-x_1)\).
\(y-y_1=3(x-x_1)\)
Now, substitute 4 as \(x_1\) and 2 as \(y_1\).
\(y-2=3(x-4)\)
Topic: parallel and perpendicular lines
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11. Identify any potential sources of bias in the following study norder to determine the opinions of people in the 21- to 26-year a researchers survey a random sample of 2500 Army recruits in this age group. age group on controlling ilegal immigration, What sources of bias, if any, might this study have? O A. Selection bias only O B. Participation bias only O C. Selection and participation bias D. There is probably no bias in the study in nna.nr two-sentence stat-byte
This study may have both selection and participation bias. Selection bias occurs when the sample is not randomly selected and not representative of the population of interest.
Participation bias occurs when certain people are more likely to respond to a survey than others. For example, individuals may be more likely to take part in the survey if they have strong opinions on the issue. Additionally, the survey may be limited to those in the 21-to-26-year-old age group in the Army, which may not be fully representative of the entire population's opinions on the issue.
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The line that passes through the points (-3,0) and (5,8) is
A.Horizontal
B.Increasing
C. Decreasing
D. Vertical
Since the mode is the most frequently occurring data value, it
Select one:
a. is always larger than the mean
b. can never be larger than the mean
c. must have a value of at least two
d. is always larger than the median
e. None of these answers is correct.
Any answer without justification will be rejected automatically.
The correct answer is option (e): None of these answers is correct.
The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.
The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.
Graph −4(x+3)−8≥12 or 5(x+2)+3(x−5)>3?
Answer:
It would be 4 times 3 =answer whatever the answer is mines that bye 8 and then 12 + the answer to that it would = something
Wrong or right answer that for me right thereFind the equivalent measurement. 1 L = 1,000 mL
The sand bucket can hold 4,500 milliliters of ocean water.
Answer:
4.5 L
Step-by-step explanation:
4500/1000 =4.5
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I am the largest 5 digit even number that you can make that has a 3 in the thousands place
what number am i?
Answer:
Largest even number is 99998
So when its thousands place is to be 3 then the number is 93998.
Step-by-step explanation.
i think this is it