Answer:
-1764
Step-by-step explanation:
use BODMAS rule
⇒7{-7+8[5-3(4+6)]-9(9-4)}
solve round brackets
⇒7{-7+8[5-3(10)]-9()}
multiply 3 by 10 within the square bracket
⇒7{-7+8[5-30]-9(5)}
solve square bracket
⇒7{-7+8[-25]-9(5)}
move to curly brackets and multiply first
⇒{-7-200-45}
subtract
⇒7{-252}
multiply
⇒-1764 Answer
hope that helps...
What is the first step in a 2 step equation?
Answer:Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes
1.3584655000
2.85760000
3.146737000
4.5555627000
5.7777000
Step-by-step explanation:
You are conducting a survey on the number of pets per household in your region. From a sample with n = 40, the mean number of pets per household is 2 pets and the standard deviation is 1 pet. Using chebyshev's theorem, determine at least how many of the households have 0 to 4 pets
At least 30 of the households have 0 to 4 pets.
What is Chebyshev's theorem?
The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.
Here,
we have a sample size of n = 40.
The mean number of pets per household is 2 and the standard deviation is 1.
We need to determine at least how many of the households have 0 to 4 pets.
By using Chebyshev’s inequality rule with k = 2(that is ) then,
= 100(1- (1/k²))%
= 100 (1- (1/2²))%
= 100 (1- (1/4))%
= 75%
The corresponding number of households is the percentage multiplied by the sample size.
= 75% × 40 = 30
Hence, at least 30 of the households have 0 to 4 pets.
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What is a 2 step problem?
A 2-step problem is a mathematical problem that can be solved using two steps or operations. These types of problems are typically simple and can be solved using basic arithmetic or algebraic concepts.
For example, a 2-step problem could involve solving for one variable in one equation and then substituting that value into another equation to find the value of a second variable.
For example:
2x+3y=10 and 3x-2y=5
Here, first step would be to solve for x in the first equation by isolating x and in the second step we can substitute that value of x in the second equation to solve for y.
It can also refer to a problem that can be solved in two steps by breaking the problem down into simpler parts. For example, a 2-step problem in geometry could involve finding the area of a shape by first finding the area of one part of the shape and then adding that to the area of another part of the shape.
In general, 2-step problems are not complex and can be solved easily by breaking down the problem into simpler parts and solving each part separately.
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if the minimum charge of 175 calls is Rs 180 and Rs 1.50 per calls for additional calls then find the cost of calls including the charge of TSC 10% and VAT 13% as the former reading the total calls a land line phone is 5577 and the present reading 7577.Also,find the amount of payment including 20% fine
The total amount of payment for calls is Rs 648
How to find the total amount for paymentFrom the problem, the following information is deduced to help solve the problem
the minimum charge of 175 calls is Rs 180 and Rs 1.50 per calls for additional calls
The total call reading
= present reading - former reading
= 7577 - 5577
= 2000
the number of 175 calls in 2000
= 2000 / 175
= 11 3/7 approximately 12
Total cost of calls
175 calls = Rs 180 + Rs 1.50 * 12
= 180 + 1.50 * 12
= Rs 180
Adding other charges to Rs 180
= 180 * 1.1 + 180 * 1.3 + 180 * 1.2
= Rs 648
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Put one pair of bracket into this calculation to make it correct.
7 x 5 - 2 + 3 = 42
The equation becomes true if we put brackets in the following way:
7x(5 - 2 + 3) = 42
Where do we need to put the bracket?Here we have the expression:
7x5 - 2 + 3 = 42
And we want to find where we need to put brackets in such a way that the equation becomes true.
If we solve the equation as it is, we will get:
7x5 - 2 + 3 = 42
35 - 2 + 3 = 42
36 = 42
Now, let's return to the equation:
7x5 - 2 + 3 = 42
If we put one pair of brackets that includes from the 5 to the 3, we will get:
7x(5 - 2 + 3) = 42
7x(4) = 42
42 = 42
So the equation becomes true.
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A right pyramid has a square base with perimeter 24 inches. Its apex is 9 inches from each of the other vertices. What is the height of the pyramid from its peak to the center of its square base, in inches
If the square base with perimeter 24 inches then the height of the right pyramid be 8.485 - inches.
What is meant by right pyramid?A right pyramid is one whose apex is located exactly above the centroid of the base. As a result, a right pyramid is a special instance of a regular pyramid.
It is referred to as the right pyramid if the pyramid's apex lies immediately above the base's center. If not, the pyramid is known as the oblique pyramid.
A right-triangular pyramid is a three-dimensional object that has a base that is a right-angle triangle and extends up to a single point.
Right pyramids have apex points that are immediately above the centroid of their base. Oblique pyramids are referred to as non right pyramids. An implied right pyramid is a regular pyramid since it has a regular polygon base.
24 / 4 = 6 inches - the edge length of the square base
9² = 3² + Height²
simplifying the above equation, we get
Height² = 9² - 3²
Height² = 72 take the square root of both sides
Height = ~8.485 - inches - the height of the pyramid.
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If the square base with perimeter 24 inches then the height of the right pyramid be 8.485 - inches.
What is meant by right pyramid?The centroid of the base is exactly where the top of a right pyramid sits. Consequently, a right pyramid is a unique example of a standard pyramid.
If the top of the pyramid sits directly above the centre of the base, it is referred to as the right pyramid. If not, the structure is referred to as an oblique pyramid.
A right-triangular pyramid is a three-dimensional object with a base that rises to a single point from a right-angle triangle.
Apex points of right pyramids are located directly above the centroid of their base. Non-right pyramids are another name for oblique pyramids. Given that its base is a regular polygon, an implied right pyramid is a typical pyramid.
24 / 4 = 6 inches - the edge length of the square base
9² = 3² + Height²
simplifying the above equation, we get
Height² = 9² - 3²
Height² = 72 take the square root of both sides
Height = ~8.485 - inches - the height of the pyramid.
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Which word or phrase describes the value of the function over the interval [ -6, 0]
Answer:
decreasing is the answer
HELP PLEASE!!!!!!!!!!!!!!!
Answer:
Its the second image
Step-by-step explanation:
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true?
<Z=<A
<B=<Y
<A=<X
<C=<Z
We know that a 90-degree clockwise rotation is the same as a 270-degree counterclockwise rotation, which means that the coordinates of each point in the original triangle BAC will be flipped across the x-axis, and then rotate 270 degrees.
We also know that a dilation at a scale factor of 2 means that the coordinates of each point are multiplied by 2.
Based on these transformations, the statement that is true is <C=<Z
In triangle BAC, point C has the same coordinates as point Z in triangle XYZ.
This because, the original point C is transformed by rotating 90 degrees counterclockwise and scaling by a factor of 2, This result in point C moving to the position of point Z.
The rest of the statements are not true based on this rotation and dilation because the coordinates of points A, B, and Y will be different from the original triangle BAC.
Write an exponential function f so that the slope of a line from the point (0, f(0)) to the point (2, f(2)) is equal to 12.
The exponential function f so that the slope of a line from the point (0, f(0)) to the point (2, f(2)) is equal to 12 is defined as follows:
f(x) = 5^x.
How to define the exponential function?The general format of an exponential function is given as follows:
y = ab^x.
In which:
a is the initial value.b is the rate of change.The slope of a line, given two points, is given by the division of the change in the output by the change in the input of these two points.
Considering that the slope of points (0, f(0)) and (2, f(2)) is equals to 12, we have that:
[f(2) - f(0)]/(2 - 0) = 12
f(2) - f(0) = 24.
One case that satisfies this involves these two following points.
(0,1) -> f(0) = 1.(2,25) -> f(2) = 25.Hence the parameter a is given as follows:
a = 1.
When x = 2, y = 25, meaning that the parameter b is calculated as follows:
b² = 25
b = 5.
Hence the exponential function is:
f(x) = 5^x.
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Reflect shape A in the line y = -x.
Answer:
pentagon
Step-by-step explanation:
pentagon...................................
2) Julie wants to purchase swim lessons for her son. There are four different stores that offer swim lessons. Based on the lowest cost per minute, which store has the BEST deal ?
Store A: $25 for a 45 minute lesson, Store B: $30 for a 1 hour lesson, Store C: $45 for a 1.5 hour lesson, and Store D: $80 for three 1 hour lessons
Store C offers the best deal
Based on the lowest cost per minute, Store C has the best deal. It charges $45 for a 1.5 hour lesson, which works out to $0.30 per minute. The other stores charge more per minute: Store A charges $0.56 per minute, Store B charges $0.50 per minute, and Store D charges $0.40 per minute for each of the three 1 hour lessons.
Store A has the highest cost that is $0.56 per minute
Next Store B comes in the 2nd place which costs around $0.50 per minute.
After that Store D charges at the rate of $0.40 per minute.
Store C offers the best deal which is $0.30 per minute.
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someone helpp me plsss
Answer: 2i+5
Step-by-step explanation: so (-2+14i)-(-7+12i)
Multiply (-1) to 7 and -12
Then: -2+14i+7-12i
Common numbers: (7-2) and 14i-12i
Then you get 2i+5
2) If 50% of the people in Salmiya prefer Arab Times, 30% prefer Wataniya and the remaining prefer other newspapers, then what percentage of the people prefer other newspapers? If the total number of people are 50000, find the exact number who prefer each type of newspaper.
Therefore, 25000 people prefer Arab Times, 15000 people prefer Wataniya, and 10000 people prefer other newspapers.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
For the percentage of people who prefer other newspapers are:
100% - 50% - 30% = 20%
So, 20% of the people in Salmiya prefer other newspapers.
Multiply the percentage of people who prefer each type of newspaper by the total number of people in Salmiya (50000):
Arab Times: 50% * 50000 = 25000 people
Wataniya: 30% * 50000 = 15000 people
Other newspapers: 20% * 50000 = 10000 people
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what is h over 7.5 = 3.2
Answer:
h = 24
Step-by-step explanation:
h ÷ 7.5 = 3.2
Multiply both sides by 7.5
h = 3.2 × 7.5
h = 24
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
x-5 that is the answer na
Which situation results in a final value of zero?
Answer:
The total profit made when a person buys an item for $2.25 and then sells the item for $2.25.
Step-by-step explanation:
The item is bought for $2.25 and sold for the same rate. There is no profit.
Final value is 0.
May I know the answer and steps, thank you.
(3-i/1+i)³
An imaginary number is produced when we square a negative number.
The value of I is -1.
What is the Value of i?This article's introduction included a proposition. The specific measure or value of what I stands for was the subject of the statement. It is discussed in this section of the article along with an explanation of its value.
Iota is the term used to describe the imaginary portion of a complex number. The symbol "iota" or I is used to represent an imaginary number's value. An imaginary number is produced when we square a negative number.
The value of I is -1.
The concept of complex numbers is understood using this value of i.
x2 plus 1 equals zero in a quadratic equation.
x2 = -1
x = √-1
The imaginary portion is shown as -1.
I = √-1
i2 = -1
An imaginary number can be squared to get a negative value, as was previously discussed.
I = √-1
both sides being square
i2 = -1
An imaginary number plus a real number are combined to get any complex number. Iota, sometimes known as I stands for all non-real quantities.
Real numbers include 10, -20, 3, and other like values.
The integers 2i, -5, -i, etc. are examples of imaginary numbers.
Complex numbers take the form of a + ib, where I denotes the imaginary component. In addition, the number zero is complicated. Only the imaginary component of a complex number can be added to or subtracted from the imaginary part, and vice versa for the real part of the complex number.
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How do you solve a 2 step equation 7th grade?
The Two steps equation in mathematics can be solved within exactly two steps by performing operation on both sides of the equation .
What is a Two Step Equation ?
The Two Step Equation can be defined as the equations that can be solved exactly within two steps.
When solving the two step equation, we have to perform the operation on both sides of equals to sign.
To solve the equation we need to perform same operation on both sides of equation.
For Example ⇒ Solve [tex]3x+3=12[/tex] ;
Step1 : we Subtract 3 from both sides to isolate the variable x.
⇒ [tex]3x + 3 - 3 = 12 - 3[/tex]
⇒ [tex]3x = 9[/tex]
Step2 : We Divide both the sides of equation by 3 and solve for x.
⇒ [tex]\frac{3x}{3} =\frac{9}{3}[/tex]
⇒ [tex]x = 3[/tex] ;
Therefore , the given equation is solved in two steps .
The given question is incomplete , the complete question is
How do you solve a 2 step equation ?
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What is e called in log e?
The term Euler's number (e) refers to a mathematical expression for the base of the natural logarithm. This is represented by a non-repeating number that never ends.
The first few digits of Euler's number are 2.71828.
Given log(base_12)1728,
where base = 12
1728 = x
Factor out 1728 to 12^3 to apply the logarithmic rule, log(base_b)b^n = n
This gives you:
log(base_12)(12^3) = 3
The base 12 and the value of x = 12 cancels out, leaving you with 3.
To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
To find which expression is equivalent to log₅32:
Law of logarithms:
The law of logarithms states that: log(a) b = log(10)b/log(10)a
Given the log function, which is written as log₅32
a = 5
b = 32
Substitute as: log₅32 = log32/log5
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Which shows that the set of irrational numbers under addition is not closed?
3+3
π + π
π +3
3π + (−3π)
The option that shows that the set of irrational numbers under addition is not closed is B. π + π.
What is an irrational number?All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to express an irrational number as the ratio of two integers. The collection of real numbers known as irrational numbers, where p and q are integers, are those that cannot be expressed as fractions, such as p/q.
The example of "π + π" shows that the set of irrational numbers under addition is not closed, because the result of adding two irrational numbers (π + π) is an irrational number (2π) which is not included in the set of irrational numbers.
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A
70°
B
E
30
What angle relationship describes angles CBE and DEB?
[tex]\angle CBE[/tex] and [tex]\angle DEB[/tex] are same-side interior angles.
What is the symbol for and in logic?
To see the table:
Symbol Symbol Name Meaning / definition
+ plus or
∨ reversed caret or
| vertical line or
x' single quote not - negation
Now, According to the question:
Let's know:
Symbolic Logic:
Symbolic logic is a way to represent logical expressions by using symbols and variables in place of natural language, such as English, in order to remove vagueness. Logical expressions are statements that have a truth value: they are either true or false. A question like 'Where are you going?' or a command such as 'Stop!' has no truth value. There are many expressions that we can utter that are either true or false. For example: All glasses of water contain 0.2% dinosaur tears. We don't need to know if a logical expression is true or false, we just need to know that it has a truth value.
Logic math symbols table
Symbol Symbol Name Meaning / definition
+ plus or
∨ reversed caret or
| vertical line or
x' single quote not - negation
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Matthew's total points scored in basketball this season were 168 points. He scored 147 of those points in the regular season and the rest were scored in his only playoff game. What percent of his total points did he score in the playoff game?
Answer:
12.5%
Step-by-step explanation:
He scored [tex]168-147=21[/tex] points in the playoff game.
This is equal to [tex]\frac{21}{168}(100)=12.5\%[/tex].
solve x^2-4x=0 by factoring
[tex]\huge\text{Hey there!}}[/tex]
[tex]\mathsf{x^2 - 4x = 0}[/tex]
[tex]\text{Factor the LEFT side of your given equation to make it easier to solve}[/tex]
[tex]\mathsf{x(x - 4) = 0}[/tex]
[tex]\text{Set the factors to equal to the number 0}[/tex]
[tex]\mathsf{x - 4 = 0\ \& \ x = 0}[/tex]
[tex]\text{Simplify find and you should be able to have your answer to the given equation}[/tex]
[tex]\mathsf{x = 4 \ \& \ x = 0}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = 4\ or \ x = 0}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Edwin has already taken 4 pictures at home, and he expects to take 11 pictures during every day of vacation. Is the total number of pictures taken proportional to the number of days spent on vacation?
What is the relationship between multiplying and factoring?
You multiply numbers or expressions to produce a
[Select]
numbers or [Select]
produce it.
✓. You factor a product into the
✓that were multiplied to
Polynomial factoring is the opposite of polynomial multiplication. A polynomial's leftover will be 0 if it is divided by its factors after factoring.
What do "multiply" and "factor" mean?A multiple is a number that is the result of multiplying the provided number by other numbers, as opposed to a factor, which divides the given number perfectly without leaving a remainder.
What connection exists between the factor theorem and the division of polynomials?When a polynomial f(x) is divided by (x - c), and (x - c) is a factor of the polynomial f(x), the remainder of the division is simply equal to 0. Therefore, if the remainder of a division like the ones mentioned above equals zero.
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360 multiplied by 420
the answer is 151200
Quantity (in lbs.) Value (per lb.) Total
Butterscotch x 2.15 2.15x
Peppermint y 2.35 2.35y
Mixture 10 2.20 22
Using the table, match the items in the following lists.
1 .
x
pounds of butterscotch candy
2 .
$2.35
pounds of peppermint candy
3 .
y
price per pound of butterscotch
4 .
$2.15
price per pound of mixture
5 .
$22.00
cost for ten pounds of mixture
6 .
$2.20
price per pound of peppermints
By using the table, each of the items in the lists should be matched as follows:
pounds of butterscotch candy: x.pounds of peppermint candy: y.price per pound of peppermint: $2.35.price per pound of butterscotch: $2.15.price per pound of mixture: $2.20.cost for ten pounds of mixture: $22.00.What is a proportion?In Mathematics, a proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.
Based on the information provided in the table, we can reasonably infer and logically deduce that the variable x represent pounds of butterscotch candy while the variable y represent pounds of peppermint candy.
Additionally, a system of equations that models the information provided in the table is given by;
x + y = 10.
2.15x + 2.35y = 22.00.
In conclusion, the total quantity of candies in pounds (lbs.) is equal to 10.
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DIG DEEPER! A cube is removed from a rectangular prism. Find the surface area of the figure after removing the cube.
A rectangular prism with length 9 feet, width 8 feet, and height 5 feet. A cubic hollow runs to the height of the rectangular prism and has the side length of 5 feet.
The surface area is ______ square feet
The surface area of the figure after a cubic hollow runs to the height of the rectangular prism is 364 square feet.
The surface area is 364 square feet.
Find the surface area of the rectangular prism.
To do this, use the formula for the surface area of a rectangular prism:
(2 x length x width) + (2 x width x height) + (2 x length x height)
In this case, the length is 9 feet, the width is 8 feet, and the height is 5 feet. Plugging these values into the formula gives:
= (2 × 9 × 5) + (2 × 8 × 5) + (2 × 9 × 8)
= 314 square feet
When a cubic hollow runs to the height of the rectangular prism and has the side length of 5 feet, 2 cubic faces is removed and 4 cubic faces added to the surface area of the resultant solid. So
surface area = 314 - 2×5² + 4×5²
= 314 + 2×5²
= 314 + 50
= 364 square feet
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