Answer:
11 inches
Step-by-step explanation:
If one inch represents 210 feet, then divide 2310 by 210 to get the number of inches in the scale drawing.
Answer:
11 inches
Step-by-step explanation:
2310/210 = 11
PLEASE HELP ME I AM IN DIRE NEED OF ASSISTANCE EXTRA POINTS INCLUDED BRAINLIEST GUARANTEED. Explain how to solve 5x − 2 = 8 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.
Answer:
5x - 2 = 8
5x = 8 + 2
5x = 10
x = 10/5
x = 2
Pls help me
Question 4 Part C (3 points): Based on the composite function you created in part A, determine how many trees Carlos can expect to have after 22 days. Click the included image to refer back to Part A as needed.
The composite function is 20d-(80) = 67
A.86 trees in 22 days
B.440 trees in 22 days
C.1340 trees in 22 days
D.1360 trees in 22 days
Answer:
C) 1340 days
Step-by-step explanation:
The composite function you have given is incorrect.
The composite function for this question is:
t(d) = 60d + 20
(as I have proven in a previous question)
Substitute d = 22 into the function:
t(22) = 60(22) + 20
= 1320 + 20
= 1340 days
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
How can her partial solution be interpreted?
The equation has one solution: x = 0.
The equation has one solution: x = 8.
The equation has no solution.
The equation has infinite solutions.
Answer:
The 3rd option i.e. 'the equation has no solution' is the correct option.
Step-by-step explanation:
Given the given function
4(x – 1) – x = 3(x + 5) – 11
Lily's work is shown below
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
It is clear that the Left-hand side of the equation is not equal to the right-hand side of the equation as 3x – 4 can not be equal to 3x + 4.
i.e.
3x – 4 ≠ 3x + 4
3x - 3x -4 ≠ 4
-4 ≠ 4
L.H.S ≠ R.H.S
Therefore, the equation has no solution.
Hence, the 3rd option i.e. 'the equation has no solution' is the correct option.
Choose the term that is a number that describes the middle of a data set.
a.) Outlier b.) Spread c.) Shape d.) Center
Answer:
center
Step-by-step explanation:
PLEASE HELP ME PLEASEEEEE Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of a (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square
Answer:
4.5·π cm² + 18 cm²
Step-by-step explanation:
Answer:
what is there perimeter
0.9=10^(-e)×0.001
find the value of e .
Answer:
blah blah blah blah blah blah blah blah blah
Right triangle PQR is shown on the graph below. If the point (x, 7) lies on the line that goes through side of the trianglethen what should be the value of x?
A. -2
B. 5
C. -3
D. 3
Answer:
C. -3
Step-by-step explanation:
First, find the slope of side QR. Calculate the slope by finding the ratio of the difference between the y-coordinates and the difference between the x-coordinates of points Q and R.
The slope of side QR can be found as shown below.
Now, using the slope of side QR, draw a triangle RST similar to the right triangle PQR with S(x, 7) as one vertex.
Next, find the value of x as shown below.
Therefore, the value of x in the point (x, 7) is -3.
2. Kurt designs a square flower garden that has the same area as a rectangular one. The length of the rectangular
garden is 10 feet longer than the side of the square garden. The width of the rectangular garden is 5 feet shorter
than the side of the square. Find the side length of the rectangular garden.
low
The side length of the the rectangular garden are 20 feet by 5 feet.
Calculating the size of a Rectangular GardenLet
s = side length of the square garden
l = length of the rectangular garden
w = width of the rectangular garden
From the problem statement,
area of the square garden = area of the rectangular garden
Since the area of a square is just the side length squared, we can write:
s² = l * w
We also know that the length of the rectangular garden is 10 feet longer than the side of the square garden, and that the width of the rectangular garden is 5 feet shorter than the side of the square garden. We can express them as:
l = s + 10
w = s - 5
Now we can substitute these expressions for l and w into our first equation:
s² = (s + 10) * (s - 5)
Expanding the right-hand side, we get:
s² = s² + 5s - 50
0 = 5s - 50
5s = 50
Dividing both sides by 5, we get:
s = 10
Since the side length of the square garden is 10 feet.
We can use this to find the dimensions of the rectangular garden:
l = s + 10 = 10 + 10 = 20
w = s - 5 = 10 - 5 = 5
So the dimensions of the rectangular garden are 20 feet by 5 feet.
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Plastic parts manufactured using an injection molding process may exhibit one or more defects, including sinks, scratches, black spots, and son on. Let x represent the number of defects on a single part, and suppose the distribution of x is as follows: x: 0 1 2 3 4 p(x): 0.79 0.09 0.05 0.04 0.03 What is the expected value, E(X), for the number of defects on a randomly selected plastic part
Answer:
The expected value for the number of defects on a randomly selected plastic part is 0.43.
Step-by-step explanation:
We have the following probability distribution:
P(X = 0) = 0.79
P(X = 1) = 0.09
P(X = 2) = 0.05
P(X = 3) = 0.04
P(X = 4) = 0.03
What is the expected value, E(X), for the number of defects on a randomly selected plastic part?
Each value multiplied by its probability. So
\(E(X) = 0.79*0 + 0.09*1 + 0.05*2 + 0.04*3 + 0.03*4 = 0.43\)
The expected value for the number of defects on a randomly selected plastic part is 0.43.
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $6.80 per hour. The chemistry club wants to spend at most
S73.00 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use r for the number of hours the meeting room is rented, and solve your inequality for t.
1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.
2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.
What is inequality?Inequality is a mathematical statement that two or more mathematical expressions are unequal.
Inequalities are depicted using the following symbols:
Greater than (>)Greater than or equal to (≥)Less than (<)Less than or equal to (≤)Not equal to (≠).The total budget of the chemistry club for renting a meeting room = $73.60
The reservation fee charged by the college = $39
The additional fee (variable cost) per hour = $6.80
The number of hours the club can rent the meeting room = t
The inequality representing the situation is:
39 + 6.80t ≤ 73.
39 + 6.80t ≤ 73
6.8t ≤ 73 - 39
6.8t ≤ 34
t ≤ 5 (34/6.8)
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Is x-1
a factor of
x^5-3x^4-2x^3-5x^2+5x+12?
Correct The remainder when you divide is
The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8
What is the remainder theorem?The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point
The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;
f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8
The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8
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you complete 7 courses of a video game that has 8 levels.each level has 6 courses. how many courses do you have left to complete
The number of courses that the person has to complete based on the information given is 48 courses.
How to illustrate the information?It should be noted that from the information, it was stated that the person completed 7 courses of a video game that has 8 levels and that each level has 6 courses.
Therefore, since the person has completed seven out of right, there's one left and Thai has levels which means the total courses will be:
= 8 × 6
= 48
Therefore, the number of courses that the person has to complete based on the information given is 48 courses.
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Simplify 3x ^3 + 3 (3x^ 3 − 7b^ 5 ).
A. 12x^3 − 7b^5
B. 12x^3 − 21b^5
C. 3x^3 − 30x^3 b^5
D. 12x^6 − 21b^5
Answer:
From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.
Step-by-step explanation:
Simplify the following:
3 (3 x^3 - 7 b^5) + 3 x^3
3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:
3 x^3 + (9 x^3 - 21 b^5)
Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:
(3 x^3 + 9 x^3) - 21 b^5
3 x^3 + 9 x^3 = 12 x^3:
12 x^3 - 21 b^5
Factor 3 out of 12 x^3 - 21 b^5:
Answer: (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5
Find the missing value of the ordered triple that will make the solution to the equation x + 2y – 3z = 8 true.
7. (4, , 0)
8. ( , -2, -2)
9. (2, 3, )
10. (-3, -2, )
The missing value of the ordered triple for questions 7,8,9 and 10 will be y=2,x=6,z=0, and z=-5 respectively.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The given equation in the problem is;
7) (4, ,0)
Substitute the values in the equation;
⇒x+2y-3z = 8,
⇒4+2y-3(0) = 8
⇒2y=8-4
⇒2y=4,
⇒y=4/2
⇒y=2
8) (, -2, -2)
Substitute the values in the equation;
x+2(-2) -3(-2)= 8
x-4+6 =8
x= 8-6+4
x=8-6+4
x=6
9)(2, 3, )
Substitute the values in the equation;
⇒2+2(3)-3z = 8
⇒8-3z = 8
⇒-3z = 0
⇒z = 0/-3
⇒z= 0
10) (-3, -2, )
Substitute the values in the equation;
⇒-3+2(-2) -3z = 8
⇒-7 -3z = 8
⇒-3z = 15
⇒z = 15/-3
⇒z = -5
Hence, the missing value of the ordered triple for questions 7,8,9, and 10 will be y=2,x=6,z=0, and z=-5 respectively.
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4.
What is the error in this equation for a trigonometric ratio? Explain the error in full sentences and give a corrected ratio. (5 points)
Answer:
\(\cos\ A = \frac{2}{4.5}\)
Step-by-step explanation:
Given
\(sin\ A = \frac{2}{4.5}\)
See attachment
Required
Explain and correct the error
The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.
The ratio can be corrected as by using:
\(\cos\ A = \frac{Adjacent}{Hypotenuse}\)
\(\cos\ A = \frac{AC}{AB}\)
\(\cos\ A = \frac{2}{4.5}\)
From the equation, find the axis of symmetry of the parabola.
y=-4x² + 24x-35
a. X=1
b. x=-1
PD
Ο Α
OB
O C
OD
C.
d.
x=3
X=-3
Please select the best answer from the choices provided
The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
We know that the method to find the axis of the symmetry of the parabola is given by:
x = - b / 2 a
We have the general equation of the parabola as:
y = a x² + b x + c
We have the equation of the parabola as:
y = - 4 x² + 24 x - 35
Comparing from this equation, we get that:
a = - 4
b = 24
c = - 35
Now, substituting the values, we get that:
x = - 24 / 2 (- 4)
x = - 24 / - 8
x = 24 / 8
x = 3
Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
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Kyle starts a fundraiser with 43 pennies. He recruits all of the players on his baseball team to participate. His goal is to triple the number of pennies each day. Assume Kyle meets his daily goal.
Use x to represent the number of days and y to represent the total number of pennies.
Enter an equation in the box that represents this scenario.
The equation to represent this scenario is y = 43*(3)ˣ , the correct option is (a) .
In the question ,
it is given that ,
Number of pennies that Kyle starts the fundraiser = 43 pennies
goal is to triple the number of pennies each day .
let "x" to represent the number of days .
let the total number of pennies be "y" .
this situation is represented by an exponential increase ,
that can be represented as
y = 3ˣ * 43
y = 43*3ˣ
Therefore , The equation to represent this scenario is y = y = 43*3ˣ .
The given question is incomplete , the complete question is
Kyle starts a fundraiser with 43 pennies. He recruits all of the players on his baseball team to participate. His goal is to triple the number of pennies each day. Assume Kyle meets his daily goal. Use x to represent the number of days and y to represent the total number of pennies .
Select the Equation that represents the this scenario ?
(a) y = 43(3)ˣ
(b) y = 3(43)ˣ
(c) y = [(43)(3)]ˣ
(d) y = 43(x)³
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Help fast plz 2. (04.01 LC)
Which set of ordered pairs represents a function? (1 point)
O (o, 1), (1, 3), (1, 5). (2, 8))
O (0, 0), (1, 2), (2, 6), (2, 8)}
O {(0, 0), (0, 2), (2, 0), (2, 4)}
O (o, 2), (1, 4), (2, 6), (3, 6)}
Answer:third option did test got it right
Step-by-step explanation:
Can someone please help me with this?
simplify the following algebraic expressions.
-2x + 5 + 10x - 9
3(x + 7) + 2(-x + 4) + 5x
Answer: 8x-4
6x+29
Step-by-step explanation:
Verizon charges an activation fee of $40 and a monthly fee of $82 for cell phone service.
T-Mobile charges an activation fee of $98 and a monthly fee of $53 for cell phone service. At how
many months would the cost of each plan be the same?
Answer:
2 months-
Step-by-step explanation:
verizon: $40+82+82=$204
Tmobile:$98+53+53+$204
6. The table shows the equations Ms. Valer discussed in math class
Equations
6 x 10° 6
6 10¹ -60
6 x 10-600
6x 10³6,000
Explain the pattern of zeros in the product when multiplying
by powers of 10.
The product when multiplying by powers of 10 is 6 ×\(10^{10}\) = 60000000000
What is multiplication ?The fundamental concept of repeatedly adding the same number is embodied in the process of multiplication. The outcome of multiplying two or more numbers is known as the product of those numbers, and the factors that are multiplied are referred to as the factors. The process of repeatedly adding the same number is made easier by multiplication.
Finding the product of two or more numbers is done by multiplication. It is a fundamental mathematical operation that is frequently applied in everyday situations. When combining groups of similar sizes, multiplication is utilized.
Given that :The table shows the equations Ms. Valer discussed in math class Equations
6 x 10°= 6
6× 10¹ =60
6 x 10=600
6x 10³=6,000
6 ×\(10^{10}\) = 60000000000
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Solve the following equation. log(3x)=log(2x-4) *
log(3x) = log(2x-4)
taking antilog of both sides:
3x = 2x - 4
3x - 2x = -4 [subtracting 2x from both sides]
x = -4
and we're done already!
both clocks ring toget (b) Two bells hanged at a school were adjusted at 10:00 am in such a way th one of them rings at the interval of every 45 minutes and another at every minutes. At what time will both bells ring together ?
The Least common multiple (LCM) The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.
The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.
To find the LCM, we can list the multiples of each interval until we find a common multiple.
Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...
Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.
Thus, the two bells will ring together every 45 minutes.
If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.
Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
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Solve the system of equations.
y=9x+14
y=6x+35
x=
y=
The solution of the system of equations are x = 7 and y = 77
Given data
y = 9x + 14
y = 6x + 35
How to solve the system of equationssolving using substitution method to solve the simultaneous equation we have
y = 9x + 14 equation 1
y = 6x + 35 equation 2
equating the both equations will give
9x + 14 = 6x + 35
9x - 6x = 35 - 14
3x = 21
x = 7
plugging x = 7 into equation 1
y = 9x + 14
y = 9 * 7 + 14
y = 63 + 14
y = 77
The solution of the system of equations are x = 7 and y = 77
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In a certain year Congress debated a bill. A poll of 1000 Americans indicated 401 opposed 293 favored 306 not sure. What is the probability that random person was in favor
Suppose the value of b is false and the value of x is 0. What is the value of each of the following expressions? a. b && x = = 0 b. b || x = = 0 c. !b && x = = 0 d. !b || x = = 0 e. b && x != 0
Answer:
a. False
b. True
c. True
d. True
e. False
Step-by-step explanation:
You want to know the truth value of various logical expressions when b = False, and x = 0.
And, OrAn And (&&) expression is true if and only if all parts are true. An OR (||) expression is true if any part is true.
When 'b' is false, b&&__ will be false, and !b||__ will be true. This makes (a) and (e) false, and (d) true.
When x = 0, __||x==0 will be true, so (b) is true.
The And (&&) of expression (c) will only be true when both parts are true. For b = False and x = 0, both parts are true, so (c) is true.
{a, b, c, d, e} = {False, True, True, True, False}
The mean monthly water bill for 44 residents of the local apartment complex is $104. What is the best point estimate for the mean monthly water bill for all residents of the local apartment complex?
Answer:
$104
Step-by-step explanation:
The computation of the best point estimate for the mean monthly water bill is shown below:
Given that
The mean monthly water bill is $104
and, the number of residents is 44
based on the above information
The best point estimate would be equivalent to the mean monthly water bill i.e. $104
hence, the same would be considered
b. What is the number that is halfway between the two values?
7 and 11
Submit
Answer:
9
Step-by-step explanation:
It would be 9 because 7 +2 is 9 and 11 - 2 is 9.
Isn't way to hard.
Good luck on whatever you are doing.
9514 1404 393
Answer:
9
Step-by-step explanation:
The midpoint between two values is their average. The average is half their sum.
(7 +11)/2 = 18/2 = 9
The number 9 is halfway between 7 and 11.
_____
Check
The distance from 7 to 9 is 9-7 = 2. The distance from 9 to 11 is 11-9 = 2. The distances are the same, so 9 is halfway between 7 and 11.