answer:
7m
step-by-step explanation:
in case of a variable being multiplied to a number, we just put the number and the variable without putting any operation between themWhat is the approximate value of θ if tan θ = 7/9
Answer:
37.9°-----------------------
Taking the inverse tangent (arctan) of the given ratio 7/9.
Use a calculator or trigonometric table to find:
θ ≈ arctan(7/9)The approximate value of θ is 37.9°.
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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if the circumference of the circle below is 72 what is the length of AB (the minor arc)
Answer:
2πr=72
=2*22/7*r=72
=r=72*7/44=504/44=252/22=126/11=11.45
=πr theta /180=22/7*11.45*60/180
=11.99=12(approx)
answer is (a) 12
which table represents a linear function? HELP FAST PLEASE
Answer:
the bottom left
Step-by-step explanation:
A linear function will have a constant slope so the bottom left graph is the only one with a constant slope. The y-values are all increasing by 2.
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
Part C
Now you will attempt to copy your original triangle using only two of its sides and the included angle:
Using point E as the center, draw a circle with a radius equal to the length of
, which you calculated in part B.
Using point E as the vertex and
as one side of the angle, create an angle that is equal to the measure of
. Draw ray
.
Locate the intersection of the ray and the circle, and label the point F.
Complete
by drawing a polygon through points D, E, and F.
Take a screenshot of your results, save it, and insert the image below.
We want to copy the original triangle using only two of its sides and the included angle. To do this, we'll create a new triangle with the same side lengths and angle measures as the original triangle.
To copy a triangle using two of its sides and the included angle, follow these steps:
Using point E as the center, draw a circle with a radius equal to the length of side DE.Using point E as the vertex and side DE as one side of the angle, create an angle that is equal to the measure of angle D.Draw ray EF that extends from point E through the angle you created in step 2.Locate the intersection of ray EF and the circle you drew in step 1, and label the point of intersection F.Complete the triangle DEF by drawing a line segment that connects points D, E, and F.Learn more about vertex :
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What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?
Answer:
the volume of the square pyramid is 2430 cubic cm
Answer:
1296 cm³
Step-by-step explanation:
V = a² x [√s²- (a/2)²] / 3
a = 18 cm
s = 15 cm
V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3
V = 324 x (√144/3) = 1296 cm³
Hii please answer i would appreciate it thankssss
Answer:
Just some background:
Congruent means that a triangle has the same angle measures and side lengths of another triangle.
SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.
Let's look at A first.
The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.
Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.
Therefore both triangles are the same by Side-Angle-Side or SAS.
Now look at B.
It's a right triangle. We are missing 1 side of each triangle.
Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).
so 2^2 + b^2 = 4^2
4 + b^2 = 16
b^2 = 16-4
b^2 = 12
That missing side is the \(\sqrt{12}\).
This does NOT match the triangle on the left.
Theses two triangles are NOT congruent.
What is the opposite reciprocal of 2/3?
Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.
Step-by-step explanation:
The toll on the Ibadan - Lagos Express Way is #10 for a car and #100 for a trailer, find the amount collected from 450 cars and 85 trailers.
Answer:
Cars 4500
Trailer 8500
Step-by-step explanation:
10 × 10 multiply = 100
Total from cars is #4,500
85 × 100 multiply = 8500
Total from trailers = #8,500
Divide using a common factor of 2 to find an equivalent fraction for
Answer:
2/10ths?
Step-by-step explanation:
then it would be 1/5th
Suppose X is a random variable with mean X and standard deviation oXSuppose Y is a random variable with mean Y and standard deviation oY. The mean of X + Y is: O a. MX+MY O b.uX/oX) + (Y /oY). O c. 1X+uY, but only if X and Y are independent.O d (uX/oX) + (Y/oY), but only if X and Y are independent.
The correct option regarding the mean of X + Y is given as follows:
a. MX+MY.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
Hence, when two variables are added, we can add their means, as we add all the observations and divide by the number of observations, considering the two variables.
This means that the correct option is given by option A.
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In the 2006 World cup, circles of cloth were used to cover the centre circle at the start of each match . The radius of a centre circle is 9.15m and 12 football pitches were used . Estimate the total area of cloth used .
Please answer with clear explaination.
The total area of clothes used is 12627m².
How to calculate the area?It is important to note that a football is in the shape of a sphere. Therefore, the area of a ball will be:
= 4πr²
In this case, the radius which is represented by r is given as 9.15m.
The area will be:
= 4πr²
= 4 × 3.142 × 9.15²
= 1052.22
Therefore, since there are 12 pitches, the area will be:
= 1052.22m² × 12
= 12627m²
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Assume that when adults with smartphones are randomly selected 42% use them in meetings or classes. If 30 adult smartphones users are randomly selected find the probability that exactly 18 of them use their smartphones in meetings or classes
0.0095 is the probability that exactly 18 of them use their smartphones in meetings or classes.
How does probability explain work?
In a random experiment, probability is the indicator of how likely an occurrence is to take place. A number between 0 and 1 is used to quantify probability, with 1 roughly corresponding to certainty and 0 roughly indicating impossibility. The likelihood that an event will occur increases with its probability.Given that ,
p = 0.42
1 - p = 1 - 0.42 = 0.58
n = 30
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 19 ) = (30 C 19) * (0.42)19 * (0.58)11
= 0.009481
Probability = 0.0095
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Is the sequence arithmetic? If so, identify the common difference.
13, 20, 27. 34, ...
Answer:
the common difference is = 7
Step-by-step explanation:
1st term is 13
2nd term is 20
d = 2nd -1st
d= 20-13
d= 7
Answer:
Yes . It is arithmetic & the common difference of them is 7 .
Step-by-step explanation:
Hope this helps ;)
For each of the 6 coverage areas of a standard homeowners insurance policy, briefly describe what they cover: Dwelling, Other Structures. Personal Property,
Loss of Use, Personal Liability, Medical Payments
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9. A periodic deposit is made into an annuity with the given terms. Find how much the annuity will hold at the end of the specified amount of time. Round your answer to the nearest dollar. Regular deposit: $1100 Interest rate: 3.7% Frequency daily Time: 23 years Future value: $
Financial Maths
A sequence of equal payments (or deposits) at equal periods of time is called an annuity.
The future value of an annuity can be calculated with the formula:
\(FV=A\cdot\frac{(1+i)^{n\cdot t}-1}{i}\)Where:
FV is the future value of the annuity
A is the periodic deposits
n is the number of compounding periods per year
i is the interest rate adjusted to the compounding periods. i = r/n where r is the APR.
t is the duration of the investment in years
The financial variables for this investment are:
A = $1100
r = 3.7% = 0.037
n = 360. Daily compounding
i = 0.037/360 = 0.000102777
It's crucial to keep as many decimals as possible in the calculations.
Applying the formula:
\(FV=1100\cdot\frac{(1+0.000102777)^{360\cdot23}-1}{0.000102777}\)Calculating:
\(FV=1100\cdot\frac{(1.000102777)^{8280}-1}{0.000102777}\)\(FV=1100\cdot13056.18\)FV = $14,361,798.98
Calculation steps (in strict order)
* Add 1 + 0.00010277 = 1.00010277
* Multiply 360*23 = 8280
* Raise 1.00010277^8280 = 2.341885
* Subtract 1 = 1.341885
* Divide by 0.00010277 = 1.341885/0.00010277=13056.18
* Multiply by 1100: $14,361,798.98
Rounded to the nearest cent
I need to know which is the best estimate for rabbit population after 5 years
Answer:
\(\text{ B: 800 rabbits}\)Explanation:
Here, we want to estimate the rabbit population after 5 years
From the question, there was an approximate increase in the rabbit population by 150 (from 150 to 300) in a space of 2 years
Let us have an exponential relationship for this:
\(P=I.a^t\)Let us get the value of t
P is the current population at 300
I is the initial
a is ?
t is the number of years which is 2
Mathematically, we have it that:
\(\begin{gathered} 300\text{ =150 }\times a^2 \\ a^2\text{ = 2} \\ a\text{ = }\sqrt[]{2} \end{gathered}\)Now, for the 5 years tenor, we substitute 5 for t
We have that as:
\(\begin{gathered} P\text{ = 150}\times\text{ (}\sqrt[]{2})^5 \\ P\text{ = 849} \end{gathered}\)From the option, we have an approximate value of 800 rabbits
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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the slope of line is -1/3. what is an equation of a line that is perpendicular to line of t
How many more monthly payments are there in a 9 year term compared to a 5 year term?
Answer: 48 more monthly payments
Step-by-step explanation:
Help thanks youuuuuu
Answer:
90 degrees
welcome bro have a great day
Can someone help answer this question?
Answer:
x=22/5
Step-by-step explanation:
4:x = 10:11
4/x=10/11
x=11*4/10
x=22/5
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20.
The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).
How to explain the relationshipIn the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.
To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).
If we subtract each value in column 1 from the corresponding value in column 2, we find that:
11 - 1 = 10
22 - 2 = 20
33 - 3 = 30
44 - 4 = 40
By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.
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What is the northerly Component of a wind blowing at 15ms from the South East?
The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.
To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.
A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.
To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.
If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.
The northerly component can be found using the sine of the angle:
Northerly Component = Wind Speed * sin(Angle)
Northerly Component = 15 m/s * sin(45°)
Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:
Northerly Component ≈ 15 m/s * 0.707
Northerly Component ≈ 10.605 m/s
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please explain hw you got the answer
For the given statements f(-x) = -4|x| - 5x^3 = -f(x), we can conclude that f(x) is an even function.
What is even and odd function?A function that fulfils f(-x) = f(x) for any x inside the function's domain is said to be even. The graph of an even function displays reflected y-axis symmetry geometrically. The even functions \(f(x) = x^2 and f(x)\) = cos are two examples (x).
A function is considered odd if it meets the condition f(-x) = -f(x) for all x inside its domain. An odd function's graph displays origin rotational symmetry geometrically. Odd functions include such like \(f(x) = x^3 and f(x) = sin (x).\)
The given function is \(f(x) = -4|x| + 5x^3.\)
An even function is a function that satisfies f(-x) = f(x).
For the function:
\(f(-x) = -4|-x| + 5(-x)^3\)
\(f(-x) = -4|x| - 5x^3\)
\(f(x) = -4|x| + 5x^3\)
Since\(f(-x) = -4|x| - 5x^3 = -f(x)\), we can conclude that f(x) is an even function.
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2. A coffee maker and a juice maker are making beverages. The rate at
which the coffee is being made is given by y = 6x, where y represents the
amount of coffee in mL and x represents the time passed in seconds. The
amount of juice that has been made at different times is summarized in
the table.
thing Company
A. At what rate is the coffee maker making coffee?
B. At what rate is the juice maker making juice?
C. Is juice or coffee being made at a faster rate?
Time (s)
0
1
2
3
Juice (mL)
0
8
16
24
(A) The rate of making coffee by coffee maker is 6 mL/second.
(B) The rate of making juice by juice maker is 8 mL/second.
(C) Juice is being made at a faster rate.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The rate of coffee made by coffee maker is represented by,
y = 6x (1)
Here, y represents the amount of coffee in mL and x represents the time passed in seconds.
Also, The rate of juice made by juice make can be represented by the given table as,
k = 8h (2)
Here, k represents the amount of juice in mL and h represents the time passed in seconds.
(A)
To find the rate of making coffee, solve the equation (1),
y = 6x
⇒ y/x = 6 mL/second
The rate of making coffee by coffee maker is 6 mL/second.
(B)
To find the rate of making juice, solve the equation (2),
k = 8h
⇒ k/h = 8 mL/second
The rate of making juice by juice maker is 8 mL/second.
(C)
Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.
Therefore, juice is being made at a faster rate.
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Step by step pls••••••••••••••••••••
Answer:
\(\frac{20r^5}{c}\)
Step-by-step explanation:
\(4c^{4}\)·\(5c^{-5} r^{5}\)
=\(4c^{4}\)·\(\frac{5 r^{5}}{c^{5} }\)
=\(\frac{20c^{4}r^{5} }{c^5}\)
=\(\frac{c^4}{c^4} \frac{20r^5}{c}\)
=\(\frac{20r^5}{c}\) or =\(20c^{-1}r^5\)
Refer to image for my question
Answer:I think it Is the second
Step-by-step explanation:
Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again. A spinner consists of a pointer on a circle divided into five equally-sized sections by five line segments that run from the circle's center to its edges. In clockwise order, the sectors are labeled "1," "2," "3," "4," and "5." Find the probability that the arrow will land on an odd number.
Answer:
The probability that the arrow will land on an odd number is 0.60.
Step-by-step explanation:
We are given that a spinner consists of a pointer on a circle divided into five equally-sized sections by five line segments that run from the circle's center to its edges.
In clockwise order, the sectors are labeled "1," "2," "3," "4," and "5."
As we know that the probability of any event is given by;
Probability, P(E) = \(\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}\)
Now, the probability that the arrow will land on an odd number is given by;
Total number of sectors = 5
Odd number of sectors = 1, 3, 5 = 3
So, the required probability = \(\frac{3}{5}\) = 0.60
Hence, the probability that the arrow will land on an odd number is 0.60.
Answer:
Step-by-step explanation:
3/5