Answer:
340
Step-by-step explanation:
[tex]2(5 + 3(10 + 5(12 - 3)))[/tex]
let's start with:
The most inner brackets[tex]5(12 - 3)[/tex]
[tex](12 - 3) = 9[/tex]
[tex]5(9) = 45[/tex]
let's rewrite the question now while removing the solved brackets and substituting it with 45
[tex]2(5 + 3(10 + 45))[/tex]
let's solve the current inner brackets[tex]3(10 + 45)[/tex]
[tex](10 + 45) = 55[/tex]
[tex]3(55) = 165[/tex]
let's rewrite the question and do the same thing as before
[tex]2(5 + 165)[/tex]
Lastly let's solve the last brackets[tex]2(5 + 165)[/tex]
[tex](5 + 165) = 170[/tex]
[tex]2(170) = 340[/tex]
Londyn and Landen are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 43.98 (about 14π ) cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
Answer:
Step-by-step explanation:
The volume of a cone can be calculated as (1/3)πr^2h, so we can set that equal to 43.98:
(1/3)πr^2h = 43.98
Dividing both sides by (1/3)π:
r^2h = 43.98 * 3 / π
Solving for one of the variables in terms of the other requires choosing specific values for either radius or height. Here are two examples:
Example 1: Let's say r = 3.
Then
h = 43.98 * 3 / (π * 9) = 4.43
So one possible cone has height 4.43 and radius 3.
Example 2: Let's say h = 5.
Then
r^2 = 43.98 * 3 / (π * 5) = 25.51
So one possible cone has height 5 and radius 5.07.
If JK=31, KI = 40, and NL=12, find the length of ‾MN‾. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
MN = 15.5 units
------------------------------
The triangles are similar since all three angles are equal on both.
We know corresponding sides of similar triangles are proportional.
Set up proportions and find the missing side length:
MN/KJ = NL/JKMN/40 = 12/31MN = 40*12/31MN = 15.4838 ≈ 15.5in how many possible ways can the selection be made so that the value of the coins is at least 25 cents?
There are 56 possible ways to make a selection of coins so that the value is at least 25 cents.
The total number of possible ways to make a selection of coins so that the value is at least 25 cents is calculated using the formula:
# of ways = (n+r-1Cr-1)
Where n is the number of coin denominations available and r is the number of coins needed to make the selection.
In this case, n = 5 (1 cent, 5 cents, 10 cents, 25 cents, 50 cents) and r = 4. Therefore, the number of ways to make a selection of coins so that the value is at least 25 cents is calculated as:
of ways = (5+4-1C4-1)
of ways = (8C3)
of ways = 56
Therefore, there are 56 possible ways to make a selection of coins so that the value is at least 25 cents.
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which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
The ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.
Describe a function.A relationship between inputs and outputs in which each input is connected to only one output is called a function.
For instance, f(x) = 2x + 1; f(1) = 2 + 1; f(2) = 2 x 2 + 1; 4 + 1; and so on.
The functions' 3 and 5 outputs are
The function's arguments are 1 and 2.
We've got
The graph's coordinates are as follows.
(3, -1), (2, 3), ), (-4, 2), and (-2, -3) (-2, -3)
Having said that,
Many-to-one but not one-to-many can exist in a function.
We therefore cannot have (-2, 0), (-2, 3). because we already had (-2, 3) and (3, 0). (3, -1).
This indicates an impossibility of a one-to-many function.
It is feasible (0, 3).
As a result, the ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.
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HEEEELLLPPPP PLEASEEEE!!
How would I find the equivalent rate of $33,000/1year????
The equivalent of the rate is $2750 per month
How to determine the equivalent rateFrom the question, we have the following parameters that can be used in our computation:
The equivalent rate of $33,000/1year
There are 12 months in a year
So, we have the following representation
Rate = $33,000/12 months
Evaluate the quotient
Rate = $2750 per month
Hence, the equivalent rate is $2750 per month
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as a result of control testing, a cpa has decided to increase control risk. what is the impact on substantive testing sample size if all other factors remain constant?
Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.
If all other factors remain constant, then the substantive testing sample size will remain the same. The increase in control risk will affect the auditor’s overall assessment of risk and may result in the auditor deciding to perform more tests of controls, but it will not necessarily affect the substantive testing sample size.
Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.
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CARD #5 A seahorse is one of the slowest moving creatures at just 0.5 miles per hour, or 0.00073 feet per millisecond. Write the feet per millisecond in scientific notation.
The value 0.00073 feet per millisecond. in scientific notation is 7. 3 × 10⁴ feet per millisecond
What are index forms?Index forms are described as mathematical methods of writing or representing numbers that are too large or two small in more convenient forms.
They are written in the forms of exponents of numbers or variables,
There are other names for index forms which are scientific notation and standard forms.
From the information given, we have that;
The seahorse moves 0.5 miles per hour, or 0.00073 feet per millisecond
In converting 0.00073 feet per millisecond into index forms
count the number of zeros to the first significant number
7. 3 × 10⁴ feet per millisecond
Hence, the value is 7. 3 × 10⁴ feet per millisecond
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Need help 7 1/2x- 1/4= 2/3 whats X
Answer:
x = 11/90 = 0.122
Step-by-step explanation:
7[tex]\frac{1}{2}[/tex]x - [tex]\frac{1}{4}[/tex] = [tex]\frac{2}{3}[/tex]
15/2x - 1/4 = 2/3
90/12x - 3/12 = 8/12
90/12x = 8/12 + 3/12
90/12x = 11/12
x = (11/12)(12/90) = 132/1080 = 11/90
Find the geometric number between 9 and 3.
Answer:
5.2
Step-by-step explanation:
9×3 and the root of that is 5.1961524
I need help with this one asap
Answer:
-3
Step-by-step explanation:
-3×(-3)×(-3)= 9×(-3)
= -27
. Find the cost of 300 units of electricity if the first 75 units are charged at 12k each and the remainder at 35k each. Express your answer in naira and kobo
[(2/5)^12(3/16)^-8] x [(2/5)^12(3/16)^-8)]^-1
The solution of the given expression will be 1.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
We are given the expression as;
[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}[/tex]
Therefore, we can write as the fraction form;
[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}\\\\[/tex]
[tex]\dfrac{[(2/5)^{12}(3/16)^{-8}] }{ [(2/5)^{12}(3/16)^{-8}]}[/tex] = 1
Then it will cancel out so,
= 1
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Find the slope and the y-intercept of the line.
1
y=-x+5
x+5
slope:
y-intercept:
1
KANSER
LANTERERS
8
X
The slope and the y-intercept of the line are -1 and 5 respectively
How to determine the slope and the intercept of the lineIt is important to note the general formula for the equation of a line is expressed with the formula;
y = mx+ c
Where the noted parameters of the equation are;
y is a point on the y -axis of the line m is the gradient or slope of the linex is a point on the x-axis of the linec is the intercept of the line on the y -axisFrom the information given, we have the equation of the line as;
y = -x + 5
Now, we can have the parameters as;
Intercept, c = 5
Slope of the line, m = -1
Hence, the values are 5 and -1
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Which of the following statements are equivalent to the statement "price increased by 1/2 of what is it was before"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter of what it was before
(D) The price became a half of what it was before
(E) The price is now 1.5 greater than what it was before
(F) The price now is 66 2/3 % of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
Answer:
B
Step-by-step explanation:
We always look original price for 1 or 100%, now increase 1/2, that is 50%
So now it is 100%+50%=150%
What is the greatest number that rounds to 600 and what is the least number that rounds to 600
Answer:
599 and 550
Step-by-step explanation:
I'm not sure but I think it's 599 and 550
**I WILL GIVE 50 POINTS AND BRAINLIEST**
A paperweight, the shape of a hemisphere, fits snugly inside a cylinder-shaped box with a radius of 9 cm. A cone fits snugly inside the paperweight hemisphere.
What is the volume of the cylinder in terms of π? Show all work.
What is the volume of the cone in terms of π? Show all work.
Estimate the volume of the hemisphere in terms of π by calculating the average of the volumes of the cylinder and cone. Show all work.
Answer:
V = πr^2h = πr^2(2r) = 2πr^3
Volume of the cone: The volume of a cone with height h and base radius r is given by the formula V = (1/3)πr^2h. In this case, the height of the cone is equal to the radius of the hemisphere, so h = r. Substituting this into the formula, we have:
V = (1/3)πr^2h = (1/3)πr^2r = (1/3)πr^3
Volume of the hemisphere: To estimate the volume of the hemisphere, we'll average the volumes of the cylinder and cone.
So:V = (2πr^3 + (1/3)πr^3) / 2 = (5/3)πr^3 / 2 = (5/6)πr^3
So the volume of the hemisphere is approximately equal to (5/6)πr^3, where r is the radius of the hemisphere (and equal to the radius of the cylinder).
Step-by-step explanation:
19. Nomusa has 30 sweets.
She has
18 fruit sweets
7 aniseed sweets
5 mint sweets
Nomusa is going to take at random two sweets.
Work out the probability that the two sweets will not be the same type of sweet.
You must show all your working.
The probability that Nomusa will not take two of the same type of sweet is 0.35
How to find the probability?To find the probability that Nomusa will not take two of the same type of sweets, we need to find the total number of combinations of two sweets she can take, and then find the number of combinations where the two sweets are different.
First, let's find the total number of combinations of two sweets:
C(30, 2) = 435
This means there are 435 different combinations of two sweets she can take from her collection of 30 sweets.
Next, let's find the number of combinations where the two sweets are not the same:
C(18, 2) + C(7, 2) + C(5, 2) = 153
This means that there are 153 combinations where the two sweets are different fruit sweets, different aniseed sweets, or different mint sweets.
So, the probability that Nomusa will not take two of the same type of sweet is:
153 / 435 = 0.35
This means that there is a 35% chance that the two sweets she takes will not be the same type of sweet.
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the bus for jaipur leaves every 25 min
Answer:
what we should do when we leave for every 25minutes
y = -8x - 21 y = 6x + 7 solve in Equal Values Method
The solution to the system of linear equations using the Equal Value Method is Y = -(8y / 6) - 21.
The Equal Value Method is a technique used to solve a system of linear equations. To solve a system of linear equations using the Equal Value Method, we first write out the two equations. In this case, we have the two equations:
Y = -8x - 21
y = 6x + 7
Next, we need to solve one of the equations for one of the variables. We can solve for x in the first equation, giving us x = (-21 - Y) / -8. We can then substitute this into the second equation, giving us y = (6(-21 - Y) / -8) + 7. We can then expand and simplify this equation, giving us y = (126 + 6Y) / -8.
Finally, we can set the two equations equal to each other and solve for Y. This will give us 126 + 6Y = -8y, which simplifies to 6Y = -8y - 126. We can then divide both sides by 6 to get Y = -(8y / 6) - 21.
Therefore, the solution to the system of linear equations using the Equal Value Method is Y = -(8y / 6) - 21.
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The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating 2 pies to the club. Each pie was cut into 4 pieces and then sold. There were a total of 64 pieces sold. How many pies did the club make?
The number of pies made by cooking club to raise the money for field trip is equal to 14 .
Number of pies given by cafeteria = 2
Number of pieces each pie cut into = 4
Total pieces donated by cafeteria = 8
Total number of pieces sold by cooking club = 64
Number of pieces made by cooking club = 64 - 8
= 56
Total number of pies made by cooking club to raise the money
= 56 / 4
= 14
Therefore, the total number of pies made by cooking club to raise the money is equal to 14.
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which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5 7?
The expression used by commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5+7 is 7+3.(2.5).
The commutative property or commutative law of mathematics states that while executing mathematical operations, the order of terms is irrelevant.
Only addition and multiplication operations are under the purview of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers. One of the main characteristics of integers is this.
According to the commutative property of multiplication, even if the positions of the two integers are switched around, the result of multiplying two integers will still be the same.
Suppose A and B are two integers;
A × B = B × A
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Given parallelogram L M N O below, LP = 81 If PN = -7x-3 solve for x
Answer:-12x
Step-by-step explanation:
just trust me on this
a unit vector lies in the xy plane, at an angle of 156 degrees from the x axis, with a positive y component. what is the unit vector? (it helps to draw a diagram.)
Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you see it.
The unit vector has a positive y component and is located in the xy plane at a 156 degree angle to the x axis. Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you visualise this. Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). This shows that the unit vector has both a positive y-component and a negative x-component. Since the unit vector's magnitude is 1, it has a length of 1, and it points in the same general direction as the 156-degree angle. In light of this, the unit vector is (-0.41, 0.91). Any vector with the same magnitude and direction as the unit vector but a different length can be represented by this vector.
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Please solve for all,50 pt need done in 10 mins please
The table in the question which the values from the graph of the parabola is inputed is presented as follows;
Name [tex]{}[/tex] Key Feature Name Key Feature
x-intercepts[tex]{}[/tex] (-1, 0), (3, 0) Increasing (-∞, 1)
y-intercept[tex]{}[/tex] (0, 3) Decreasing (4, ∞)
Vertex[tex]{}[/tex] (1, 4) Positive (-1, 3)
Axis of symmetry[tex]{}[/tex] x = 1 Negative (-∞, 1), (3, ∞)
Domain[tex]{}[/tex] (-∞, ∞) Range (-∞, 4]
What is a parabola?The graph of a parabola is a u (or n) shaped curve obtained by the intersection of a cone and a plane which is parallel to the slant of the cone.
The x-intercepts are the point the graph intersects the x-axis, where the y-value is zero, y = 0. From the graph, the x-intercepts are;(-1, 0), and (3, 0)
The y-intercept is the point at which the graph intersects the y-axis, which is the point the x-value is 0, (x = 0). The graph indicates that the y-intercept is (0, 3)
The vertex of the parabolic graph is the highest (or lowest) point on the graph, therefore, from the graph in the question, the vertex point is; (1, 4)
The axis of symmetry is the line that divides the graph into two mirror halves, which is the line passing through the vertex and parallel to the y-axis. The axis of symmetry is therefore the line; x = 1
The domain is the set of the possible input values of the graph of the function, which is the set of the possinble x-values.
The graph indicates that the x-values can decrease and increase to -∞ and ∞. The domain is therefore; (-∞, ∞).
The region where the graph is increasing is fro x = -∞ to just before x = 1. The interval where the graph is increasing is therefore; (-∞, 1)
Similarly, the interval the graph is decreasing is; (4, ∞)
The graph is positive in the region above the x-axis. The interval over which the graph is positive is therefore between the x-intercepts, which is; (-1, 3)
The graph is negative in the region below the x-axis. The interval in which the graph is negative are; (-∞, 1), and (3, ∞)
The range is the set of possible output of the graph, therefore, the range is the set of the possible y-values, which is; (-∞, 4]
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Which of the given values will make the inequality n - 93 > 175 true?
A n = 82
B n = 105
C n = 268
D n = 300
E n = 312
In the given choices, both (D) n = 300 and (E) n = 312 satisfies the inequality. So for both these options, the inequality is true.
We can solve for n by adding 93 to both sides of the inequality:
n - 93 > 175
Adding 93 on both sides
n - 93 + 93 > 175 + 93
n > 268
Therefore, the value of n that makes the inequality true is greater than 268.In the given options, n = 300 and n = 312 satisfy this condition. So this is inequality is true for both cases. The answer choice that fits this is (D) n = 300 and (E) n =312.
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What is 5 x 3 1/5 please with solution
Can someone please help me with this
Answer: Perimeter because A=L X W and P= L+W+L+W
Step-by-step explanation:
1.
The function
H(x)=-0.0005(x-1905)² +310 models the horsepower at the wheels of a vehicle with
a poorly maintained diesel engine as a function of the engine speed x, in revolutions per minute (rpm),
where 1600≤x≤2100. What is the engine speed, in rpm, at which the vehicle's estimated
horsepower at the wheels is greatest?
The engine's speed at which the vehicle's estimated horsepower at the wheels is greatest is given as follows:
1905 rpm.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by the following rule:
y = a(x - h)² + k
In which:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The value of h for this problem is given as follows:
h = 1905 rpm.
As the leading coefficient is negative, for h = 1905, the output has the maximum value.
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which measure of center best describes the data set {2,3,4,5,8,8,9,9}
A. Mean
B.Median
C.Mode
D.Range
The rectangular floor of a classroom is 30 feet in length and 33 feet in width. A scale drawing of the floor has a length of 10 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The perimeter of scale drawing of rectangular classroom floor is 42 inches.
Based on the mentioned information, let us first calculate the width of floor of classroom according to the scale drawing.
Length/width of original classroom floor = length/width of scale drawing
30/33 = 10/width
As we know, 1 foot = 12 inches
So, length = 360 inches and width = 396 inches
Width = (396 × 10)/360
Cancelling zero as it is common in both numerator and denominator
Width = 396/36
Performing division on Right Hand Side of the equation
Width = 11 inches
Perimeter of scale drawing = 2 (length + width)
Perimeter = 2( 10 + 11)
Performing addition
Perimeter = 2 × 21
Performing multiplication
Perimeter = 42 inches
Thus, perimeter of the rectangle is 42 inches.
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