Answer:
The inverse property definition states when added together with its additive inverse, the sum of the two numbers will be zero. When a number is multiplied by its multiplicative inverse, the product will be one
Step-by-step explanation:
PLEASE HELPP
If A and B are supplementary angles and
m/B = 54, find m/A.
Answer:
m∠A=126°
Step-by-step explanation:
Supplementary means that they add up to 180°.
Therefore we can do 180-54 to get 126° for the m∠A.
Hope this helped! :)
What is a algebraic expression for 1,10,19
The algebraic expression for the sequence 1, 10, 19, is given as a(n) = 1 + (n-1) 9.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
For the given sequence the common difference between two consecutive terms is 19 - 10 = 9.
The general form of the nth term of an arithmetic sequence is given as:
a(n) = a + (n-1) d
Since, the value of a = 1 and the common difference d =9, the resulting expression is:
a(n) = 1 + (n - 1) 9
Hence, the algebraic expression for the given sequence is a(n) = 1 + (n - 1) 9.
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Peter i making 30 undae with mint,chocolate,and vanilla icecream. 3/5 of the undae are mint icecream and 1/2 of the remaining undae are chocolate. The ret will be vanilla. How many undae will be vanilla?
Ty for helping me :)
-Credit to Zearn
The amount of vanilla in the ice cream is 1/5 in the sundae that is being mad by Peter.
Peter make sundae by using mint chocolate and vanilla ice cream.
It is given to us that, the mint ice cream is 3/5 and chocolate is 1/2 of the remaining.
So, first we calculate the amount of chocolate,
Let us say that, we take the sundae as 1,
so, algebraically, the mint is,
X - 3/5 = 1
X = 2/5
Now, half of the 2/5 is,
Half of 2/5 = 2/5x1/2
Half of 2/5 = 2/10
Half of 2/5 = 1/5
So, the remaining portion after filling chocolate is 1/5
So, the vanilla ice cream will be 1/5.
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what is 5 2/3 x 3/4 equal?
Answer: 4 1/4
Step-by-step explanation: Decimal= 4.25
Answer:
Exact form: 17/4
Decimal Form: 4.25
Mixed number form: 4 1/4
Gillian feeds the goats the same amount of hay each day. On May 3, she has 72 pounds of hay left. On May 5, she has 60 pounds of hay left.
Based on the information and the graph provided, how many ponds of hay does Gillian most likely have left on the day that she has most likely 3 pounds of grain left? Provide evidence to support your answer. Include algebraic representations for each situation as part of your support
Answer:56
Step-by-step explanation:
Let ttt be the initial number of trees.
Hint #22 / 5
MacDonald now has t-5t−5t, minus, 5 trees and each one produced 210210210 oranges this harvest.
The total number of oranges produced is 210(t-5)210(t−5)210, left parenthesis, t, minus, 5, right parenthesis.
Hint #33 / 5
Since the trees produced a total of 417904179041790 oranges, let's set this equal to 417904179041790:
\qquad210(t-5)=41{,}790210(t−5)=41,790210, left parenthesis, t, minus, 5, right parenthesis, equals, 41, comma, 790
Now, let's solve the equation to find the initial number of trees (t)(t)left parenthesis, t, right parenthesis.
Hint #44 / 5
\begin{aligned}210(t-5)&=41790\\&\\ \dfrac{210(t-5)}{\blue{210}}&=\dfrac{41790}{\blue{210}}&&\text{divide both sides by $\blue{210}$}\\ \\ t-5&=199\\ \\ t-{5}\pink{+5}&=199\pink{+5}&&\pink{\text{add }} \pink{5} \text{ to both sides}\\ \\ t&=204\end{aligned}
210(t−5)
210
210(t−5)
t−5
t−5+5
t
=41790
=
210
41790
=199
=199+5
=204
divide both sides by 210
add 5 to both sides
Hint #55 / 5
The equation is 210(t-5)=41790.210(t−5)=41790.210, left parenthesis, t, minus, 5, right parenthesis, equals, 41790, point
MacDonald's farm initially had 204204204 orange trees.
Related content
Expectation 2 Suppose that X is log-normal. For example log(x) follows a normal distribution with mean m and standard deviation k. What is the expectation of X? Pick ONE option exp(m - k2/2) exp(m + k²/2) exp(m) m
The expectation of X, when X is log-normal and log(X) follows a normal distribution with mean m and standard deviation k, is exp(m + k²/2).
Therefore the answer is exp(m + k²/2).
The log-normal distribution is a probability distribution of a random variable whose logarithm is normally distributed. In other words, if X is log-normal, then log(X) follows a normal distribution with mean m and standard deviation k.
The expectation of a random variable is the expected value of the variable, which is a measure of the central tendency of the distribution. For a continuous probability distribution, the expectation is also known as the population mean. The expected value of X can be calculated using the probability density function (PDF) of X.
The expectation of X is calculated as the integral of X × f(X) over the range of X. Where f(X) is the probability density function of X and X is the random variable.
For log-normal distribution, the expectation of X is calculated as follows:
E(X) = exp(m + k²/2)
where m is the mean of log(X) and k is the standard deviation of log(X).
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A large univerity accept60 % of the tudent who apply. Of the tudent the univerity accept,45 % actually enroll. If 10000
tudent apply, how many actually enroll?
The university accepts 6000 students out of the 10000 that applied.
What is enrolled?Enrolled, in the context of education, is the process of registering a student with a school. The process typically requires a student to complete an application form and submit it to the school, along with any other required documents or fees. Once the student has been accepted and enrolled, they will be given a student ID number and will be able to access all the school's resources, such as classes and activities. In addition, the school may assign an advisor to the student to help them adjust to the school and plan out their academic path.
Of those 6000 accepted students, 45% will actually enroll, which is 2700 students. Therefore, of the 10000 students that applied, 2700 will actually enroll into the university.
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a) What type of triangle is triangle ABC? b) Give reasons for your answer. I need the correct answer for B with Reasons Not "ab and ac are the same" any word other than the same
Answer:
Δ ABC is isosceles
Step-by-step explanation:
∠ ABC and ∠ BCE are alternate angles and are congruent , that is
∠ BCE = ∠ ABC = 80°
since DE id a straight line then the angles lying on it sum to 180° , that is
∠ ACD + ∠ ACB + ∠ BCE = 180°
50° + ∠ ACB + 80° = 180°
∠ ACB + 130° = 180° ( subtract 130° from both sides )
∠ ACB = 50°
∠ BAC and ∠ ACD are alternate angles and are congruent , that is
∠ BAC = 50°
then
∠ BAC = ∠ ACB = 50°
Since the 2 base angles are congruent then Δ ABC is isosceles
Me resuelven está 2 porfa
a) Each person would receive 1/6 of the cake
b) If there are 49 balls in total and each person is to get seven balls, How many persons can share the balls?
What is the problem?We know that we can be able to make us of the principles of algebra so as to be able to obtain the problems that we have to deal with in the question that appears in the image that is attached.
Given that we have the total amount of the cake as 2 1/2 and then we are told that there are 15 persons in the class thus the amount that everyone should receive would be x.
2 1/2 = 15 x
5/2 = 15x
5 = 2 * 15x
x = 5/2 * 15
x = 1/6
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Find the area of the front face of the shed. Please help asap.
Answer:
8.25cm²
Step-by-step explanation:
the area of the triangle = (half x base x height )=
(1.5x3)÷2= 2.25cm²
the area of the rectangle= length x width = 3x2= 6cm²
total = 2.25+6= 8.25cm²
What is the inverse of negative 7?
The inverse of negative 7 when reciprocled is found to be as - 1/7.
The reciprocal of a number is known as the inverse of that number . The term reciprocal can be defined as, an expression or function which is related to another in such a manner that their product is unity, which means 1 , the quantity obtained by dividing the number one by a given quantity gives the original number back.
The term inverse means the reciprocal of an operation. Subtraction means to take away, and addition means to obtain the sum. Therefore , we can say that addition is the reverse of subtraction .As a result, addition and subtraction are diametrically opposed operations.
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what is 0.133 with a bar over 33
Answer:
2/15
Step-by-step explanation:
make x= 0.13
multiply it by 10^1 .
10x = − 1.33
subtract x from 10x
10x−x =
1.33 - 0.13
9x = 1.2
divide both sides by 9 to get x as a fraction
x = 1.2/9 =
12/90 =
2/15
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A bar over a digit in a decimal number, such as 0.133 with a bar over the 3, indicates that the number is a repeating decimal. In this case, 0.133 is a repeating decimal and the digit 3 is repeating infinitely.
What is repeating decimal?A repeating decimal is a decimal number whose digits are periodic and repeat infinitely. They are also called recurring decimals. For example, 0.333... is a repeating decimal, with the digit 3 repeating indefinitely. The same goes for 0.666... and so on. They can also be represented in the form of a fraction, where the numerator is the repeating decimal and the denominator is a power of 10 with a 1 followed by as many zeroes as the number of digits in the repeating block. Repeating decimals can also be represented with a bar over the repeating block of digits, for example 0.133 with a bar over the 3, indicating that the digit 3 is repeating infinitely. It's also written as 0.133(3) where (3) means the repeating decimal. Another way is to use a dot above the repeating digit.To learn more about decimal refer:
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A palindrome is an integer that reads the same forwards and backwards. How many positive 3-digit palindromes are multiples of $3$
There are total 30 positive 3-digit palindromes are multiples of 3.
The numbers are as follows,
111, 141, 171, 222, 252, 282, 303, 333, 363, 393, 414, 444, 474, 525, 555, 585, 606, 636, 666, 696, 717, 747, 777, 828, 858, 888, 909, 939, 969, 999.
Palindrome numbers
A palindromic number is a number that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis.
A palindrome number is a number that is same after reverse.
For example - 121, 34543, 343, 131, 48984 are the palindrome numbers.
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The first rule is add 4 starting from 2. The second rule is subtract 4 starting from 28. What is the second ordered pair using the terms in each sequence? A (2, 28) B(6, 24) C (14, 16) D (10, 20)
The second ordered pair using the terms in each sequence is B (6, 24).
THE SEQUENCE PAIRThe first rule says to add 4 to the first term of the ordered pair, starting from 2. So the first term of the second ordered pair would be 2+4 = 6.The second rule says to subtract 4 from the second term of the ordered pair, starting from 28. So the second term of the second ordered pair would be 28-4 = 24.
Therefore, the second ordered pair using the terms in each sequence is B (6, 24).
The third ordered pair using the terms in each sequence would be C (14,16) and the fourth ordered pair would be D (10,20)This is because:
C (14,16) can be obtained by adding 4 to first term of B(6,24) which is 6+4 = 10 and subtracting 4 from second term of B(6,24) which is 24-4=20.
D (10,20) can be obtained by adding 4 to first term of C(14,16) which is 14+4 = 18 and subtracting 4 from second term of C(14,16) which is 16-4=12.
So the sequence list of ordered pair would be:
First order: A (2,28)
Second order: B(6,24)
Third order: C (14,16) D (10,20)
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what is the estimated value of 102.3x4.7
The estimated value of the multiplication is equivalent to 480.81.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
102.3 x 4.7
480.81
Therefore, the estimated value of the multiplication is equivalent to 480.81.
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If police and fire are already on an accident scene, how many feet away should you park your ambulance
It is recommended that when an ambulance arrives at an accident scene, it should park a safe distance away from the scene, at least 500 feet away.
This is to ensure the safety of the paramedics and other emergency responders, as well as to ensure that the ambulance does not impede the movement of other emergency vehicles. Additionally, it is also to protect the privacy of the individuals involved in the accident and ensure that the scene is not tampered with.
It is also important to follow any additional instructions given by the police or fire department at the scene, as they may have specific parking instructions based on the situation.
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5. The population of a town went from
100,000 to 137,000 in 5 years. What was
the percent increase in the town's
population
over that time?
A 7.4%
B 37%
C 73%
D 137%
Answer:B or A depending on if it went per year or overall
Step-by-step explanation:100 137, 137-100=37
37/5=7.4
a plane is traveling 9 miles per minute how much time is needed to travel 216 miles
Answer:
Step-by-step explanation:
so since it’s traveling 9mi/m you need to devide 216 by the rate of 9mi/m to find how long it takes.
216/9=24 so it will take 24 minutes!
Answer:1,944 minutes
Step-by-step explanation:
if the question is a plane is traveling 9 miles per minute how much time is needed to travel 216 miles you need it is clear that you are doing a multiplication problem so multiply that and you get 1,944 minutes
your welcome
What is the log2 function?
The log2 function is a mathematical function that returns the logarithm of a given number to the base 2.
It is used to calculate the power to which a number must be raised to get a particular result.
For example, the log2 of 16 is 4, since 2^4 = 16. It can also be expressed as log2 16 = 4. Log2 is used in many areas of mathematics, including number theory, probability theory, and calculus.
It is also used in computer science and engineering to solve complex problems. Furthermore, it is used in cryptography to calculate the key sizes of encryption algorithms. In general, it is an essential tool for solving mathematical and scientific problems.
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A car moving at a constant speed passed a timing device at t=0. After 9 seconds the car has traveled 1,053ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
d = 117t
Step-by-step explanation:
The equation is
y = mx + b
Here m is the function's slope, and b is the y-intercept.
We know
As the car moves at a constant speed passes a timing device at t=0.
After 9 seconds, the car traveled 1053ft.
We have to find the slope
Slope = rise/run or (y2 - y1) / (x2 - x1)
We have the slope is
m = 1053/ 9 = 117
So, the equationn is d = 117t
If you can, please give me a Brainliest; thank you!
Can u please help . ?............
Answer:
See the picture below
Step-by-step explanation:
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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Mia is taller than Gage. If m represents Mia’s height and g represents Gages hight write an inequity that shows the relationship between their heights. Answer plsssssssss
The inequality that shows the relationship between thier heights is; g < r or r > g
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Now we have the following parameters that can be used in our computation:
Reese is taller than Gage.
Also, we have
Reeses's height = r
Gage's height = g
Since Reese is taller than Gage, then it means that
The value of r is greater than the value of g
So, we have the following inequality expression;
r > g
Also, we have;
g < r
Hence, the inequality is g < r
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The function f is defined by f(x) = x^2 + 3x - 10. If f(x-2) = x^2 + bx + c, what are the values of b and c?
______________________________
When you put the answer could you put the steps that you took, so I could use it on other problems
Thanks
Distributive Property
Factoring
FOIL (First Outside Inside Last)Functions
Function NotationApplicationStep 1: DefineLet's organize what is given to us in the problem.
We are given a function f, defined as f(x) = x² + 3x - 10.
We are asked to find the values of b and c in f(x - 2) = x² + bx + c.
Step 2: SolveIn order to solve the question, we first must find the full function of f(x - 2):
[tex]\displaystyle\begin{aligned}f(x - 2) & = (x - 2)^2 + 3(x - 2) - 10 \\& = \underbrace{x^2 - 4x + 4}_{\text{FOIL}} + \underbrace{3x - 6}_{\text{Distribute}} - 10 \\& = \boxed{ x^2 - x - 12 } \\\end{aligned}[/tex]
∴ [tex]\displaystyle \boxed{ f(x - 2) = x^2 - x - 12 }[/tex]
Now, we can correlate our variables to the f(x - 2) function by comparing them side-by-side:
[tex]\displaystyle\begin{aligned}f(x - 2) & = x^2 - x - 12 \\& = x^2 + bx + c \\& \Rightarrow \boxed{ b = -1 ,\ c = -12 }\end{aligned}[/tex]
∴ we have found the values of b and c.
Answer∴ the value of b is equal to -1 and the value of c is equal to -12.
___
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___
Topic: Algebra I
Unit: Factoring
How do you find the third side of an isosceles triangle when given the angle?
The third side of the isosceles triangle is equal to the square root of 2 multiplied by the hypotenuse, multiplied by the sine of the opposite angle.
Given an isosceles triangle with an angle and two equal sides, we can use the Pythagorean Theorem to calculate the missing side.
The Pythagorean Theorem states that the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. Therefore, we can use this formula to calculate the missing side of the triangle.
First, let's call the two equal sides of the triangle 'a', and the angle opposite to them 'A'.
We can then use the Pythagorean Theorem to calculate the missing side, 'c', which is the third side of the triangle.
[tex]c^2 = a^2 + a^2\\c^2 = 2a^2\\c = sqrt(2a^2)[/tex]
To calculate 'c', we can first calculate 'a' by using the formula:
a = c * sin(A)
Then we plug 'a' into the equation for 'c':
c = sqrt(2*(c * sin(A))^2)
c = sqrt(2)*c*sin(A)
Therefore, the third side of the isosceles triangle is equal to the square root of 2 multiplied by the hypotenuse, multiplied by the sine of the opposite angle.
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Charles and wilma have diffrent internet providers. Charles pays $0. 25 per gigabyte of data. Wilma pays a flat fee of $20 and $0. 05 per gigabyte How many gigabytes of data must each use for charles internet bill to be equal to wilma's interet bill
100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.
What is the Intercept of the equations?Assume that there are x gigabytes of data.
The equation for Charles is y = 0.25x since he pays $0.25 for each gigabyte of data.
The calculation for Wilma is y = 0.05x + 20 because she pays a flat rate of $20 and $0.05 per gigabyte.
Charles must pay the same amount for internet service as Wilma, so;
0.25x = 0.05x + 20
0.2x = 20
x = 20/0.2
x = 100
Hence, 100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.
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Can you help me with this
Help please I don't really understand
Answer:i need to know what youre trying to find first
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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How many solutions exist for the given equation 3 x 10 6 3 x 12?
There are no solutions for the equation 3x106 3x12.
The equation 3x106 3x12 can be rearranged to 3x106 - 3x12 = 0. This is a linear equation and can be solved using the equation ax+b=0, where a is the coefficient of the variable and b is the constant.
In this case, a = 3 and b = -3x106. To solve this equation, we can use the quadratic formula, which states that x = -b ± √b2 - 4ac / 2a.
Substituting the values for a, b, and c yields x = -(-3x106) ± √(3x106)2 - 4(3)(-3x106)/2(3). Simplifying this yields x = 3x106 ± √9x1012 - 36x1012/6.
This simplifies to x = 3x106 ± √-27x1012/6. Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, there are no solutions for the equation 3x106 3x12.
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