Answer:
-5/4 × x - 5 = -5
Step-by-step explanation:
Let's solve your equation step-by-step.
−5
4
x−5=−5
Step 1: Add 5 to both sides.
−5
4
x−5+5=−5+5
−5
4
x=0
Step 2: Multiply both sides by 4/(-5).
( 4 −5 )*( −5 /4 x)=( 4 −5 )
*(0)
x=0
Solve this problem using 45-45-90
The right angled triangle's side measures 19, its hypotenuse is approximately 8100.25.
what is triangle ?Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners.
given
Let's say we don't know the triangle's hypotenuse and that angle A is approximately 33.56.
Cos and Cos-1 are available. Make sure it is set to degrees.
Cos(33.56)=6750/h
h=8100.25
The right angled triangle's side measures 19, its hypotenuse is approximately 8100.25.
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An auditorium with 30 rows of seats has 10 seats in the first row. Each successive row has one more seat than the previous row. If students taking an exam are permitted to sit in any row, but not next to another student in that row, what is the maximum number of students that can be seated for an exam
Answer:
Step-by-step explanation:
380 rows in total
bcs
use sense
find real and imaginary parts of a complex number calculator
To find the real and imaginary parts of a complex number, write it in the form a + bi, where a is the real part and b is the imaginary part.
To find the real and imaginary parts of a complex number, you can use the following steps:1. Write the complex number in the form a + bi, where a is the real part and b is the imaginary part.
2. Identify the coefficient of the imaginary unit, "i." This coefficient is the value of "b" in the complex number.
3. The real part of the complex number is given by "a," and the imaginary part is given by "b."
For example, let's consider the complex number z = 3 + 2i.The real part, denoted as Re(z), is 3, and the imaginary part, denoted as Im(z), is 2.Therefore, Re(z) = 3 and Im(z) = 2.By following these steps, you can easily determine the real and imaginary parts of any complex number.
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Use the Distributive Property to find the product 3/4 • 2 1/3
What equation can I
use to find 42×51
Answer:
2142
Step-by-step explanation:
To evaluate 8^2/3 find
To evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.
What are exponents?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Depending on the powers they possess, many rules of exponents are given.
Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.
Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.
Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.
The given value can be written as:
\(8^{\frac{2}{3} } = \sqrt[3]{8^{2} }\)
Hence, to evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.
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use the trapezoidal rule, the midpoint rule, and simpson's rule to approximate the given integral with the specified value of n. (round your answers to six decimal places.) 3 0 1 10 y5 dy, n
Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.
What is polynomial?
A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.
Here,
When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.
This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.
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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from.
The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .
The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.
The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.
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54 ÷ ( 8 - 5 )
full explanation too please
Use order of operations.
First step do inside the parentheses
8-5 = 3
Now you have 54 / 3
Now divide
54/3 = 18
answer: 18
Answer:
18
Step-by-step explanation:
PEMDAS
P = parentheses
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
If the expression contains parentheses, always solve what's in them first
then if there are exponents, solve them
then do any multiplication or division, from left to right
last, do any additon or subtraction, from left to right
In this problem all we have to do is subtract 8 and 5 to get 3 and then divide that into 54 to get 18
x+a=3/4 I don't know how to solve this and I need someone to help explain it to me.
Help plssss i beggg
A line passes through y=-3 and had a gradient of 3/5. Find the equation of the line
Answer:
y=3/5x-3
Step-by-step explanation:
Write the equation of the line with the given information. There are two equations we can utilize for lines and are given as follows.
\(\boxed{\left\begin{array}{ccc}\text{\underline{Point-Slope Form:}}\\y-y_1=m(x-x_1)\\\\\text{Where...}\\\bullet \ m \ \text{is the slope of the line} \\ \bullet \ (x_1,y_1) \ \text{is a point on the line} \end{array}\right} \ \text{or} \ \boxed{\left\begin{array}{ccc}\text{\underline{Slope-Intercept Form:}}\\y=mx+b\\\\\text{Where...}\\\bullet \ m \ \text{is the slope of the line} \\ \bullet \ b \ \text{is the y-intercept of the line} \end{array}\right}\)
We are given the gradient, which is also referred to as the slope or rate of change. We are also given the line's y-intercept. Thus, we will use the slope-intercept form of a line.
Given:
m=3/5
b=-3
Plugging these values into the equation we get a final answer of...
y=3/5x-3
Can someone help me please ???
Answer:
the answer is x= 10/3 sooo C!!!
hope this helps!!
Step-by-step explanation:
Xavier loves to make waffles for breakfast. Normally, it takes him 9 minutes to make 3 waffles. He had some friends sleep over last night, and he wants to make 10 waffles this morning. If the waffles cook at the same rate, how many minutes will it take Xavier to make the waffles this morning?
Answer:
30 Mins
Step-by-step explanation:
9 mins for 3 waffles is 3 mins per waffle. 9÷3=3
3 mins for each of 10 waffles is 30 mins. 3×10=30.
Xavier loves to make waffles for breakfast. He wants to make 10 waffles this morning, then it will take 30 minutes.
What is the equation?A mathematical equation is an equation that uses the equals symbol (=) to denote the equal of two expressions. The meanings of the word equation and its related terms in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the value of the variables that cause the equality to hold is the first step in solving an equation with variables. The variables that the equation must be resolved are also referred to as unknowns, and the unknowns' values that fulfill the equality are referred to as the equation's solutions.
9 minutes for 3 waffles, which means that 3 mins per waffle. 9/3=3
3 minutes for each of the 10 waffles is 30 minutes is,
3 × 10= 30.
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y=x^2+bx+c;(-2,3)
For the function, the vertex of the function's graph is given. Find the unknown coefficients.
===============================================
Explanation:
Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.
The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.
Plug those three values into the vertex form below
y = a(x-h)^2 + k
y = 1(x-(-2))^2 + 3
y = (x+2)^2 + 3
Then expand everything out and simplify
y = x^2+4x+4 + 3
y = x^2+4x+7
We see that b = 4 and c = 7.
Find the ratio a:c if
a:b = 1:2, b:d = 4:5, d:c = 3:1
Answer:
a : c = 6 : 5
Step-by-step explanation:
Expressing the ratios in fractional form, then
\(\frac{a}{c}\) = \(\frac{a}{b}\) × \(\frac{b}{d}\) × \(\frac{d}{c}\) = \(\frac{1}{2}\) × \(\frac{4}{5}\) × \(\frac{3}{1}\) = \(\frac{12}{10}\) = \(\frac{6}{5}\)
Thus a : c = 6 : 5
HELP ASAP! A biologist measured the length and weight of several bluegills, which is a species of fish. Use linear regression to estimate the weight of a bluegill that has a length of 9.5 inches. Round your answer to the nearest tenth of an ounce.
Answer:
The weight is 95.53 ounces of bluegill which has a length of 9.5 inches using linear regression.
Step-by-step explanation:
good luck to you
Determine whether each of these statements is true or false.a) 0 ∈ ∅ b) ∅∈{0}c) {0}⊂∅ d) ∅⊂{0}e) {0}∈{0} f ) {0}⊂{0}g) {∅} ⊆ {∅}
a) True, b) False, c) False, d) True, e) False, f) False, g) True
a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.
b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.
c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.
d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.
e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.
f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.
g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.
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the product of two numbers is 1,33,600. If the first number is 25 than what is the second number?
Answer:
Step-by-step explanation:
It looks much harder than it really is
Let the first number = 25
Let the second number = x
25 * x = 133600 divide both sides by 25
25*x/25 = 133600/25
x = 5344
Make sure the answer really is 133600 because the comma (one) should go before the 6.
Problem 2:
The lifespan of a particular brand of light bulb follows a normal distribution with a mean of 1000 hours and a standard deviation of 50 hours.
Find:
a) the z-score of light bulb with a mean of 500 hours.
b) If a customer buys 20 of these light bulbs, what is the probability that the average lifespan of these bulbs will be less than 980 hours?
c) the probability of light bulbs with the mean of 400 hours.
d) the number of light bulbs with the mean less than 1000 hours
The answers are:
a) The z-score for a light bulb that lasts 500 hours is -10.
b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.
c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.
d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.
How to solve the problema) The z-score is calculated as:
z = (X - μ) / σ
Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,
z = (500 - 1000) / 50 = -10.
The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.
b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is
50/√20
≈ 11.18 hours.
z = (980 - 1000) / 11.18 ≈ -1.79.
The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.
c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:
z = (400 - 1000) / 50 = -12.
The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.
d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.
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prove that for every positive integer n, there are n consecutive composite integers. [hint: consider the n consecutive integers starting with (n 1)! 2.]
It is proved that, for every positive integer n, there are n consecutive composite integers.
Given statement,
For every positive integer n, there are n consecutive composite integers.
Proof:
Assume that m is less than n and that both m and n are positive integers. When m is less than n,
n! = 1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n,
which is to say that m is a factor of n!
So,
m + n! = m + ( 1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n )
= m ((1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n) / m + 1)
Since m is a multiple of n!, n!/m is still an integer. Since the integer m is bounded between 1 and n, it follows that any number you choose up to n can divide m + n!, making it composite until the nth integer.
However, since n! contains the nth integer, the nth integer is also composite, meaning you can choose any integer between 1 and n inclusively and it will be composite.
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There are 4 quarters and 1 dollar the total number is a function of the number of quarters does this situation represents a linear or nonlinear function
The function of the number of quarters is a linear function.
Given that,
There are 4 quarters and 1 dollar the total number is a function of the number of quarters, to justify this situation represents a linear or nonlinear function.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In a $1 there are 4 quarters,
And in 1 quarter there are 1/4 dollar,
Implies that the function is linear see,
Let the number of quarters is y and the number of dollars be x,
y = 1/4 x
Thus, the function of the number of quarters is a linear function.
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is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? assume the population is normally distributed. select the [p-value, decision to reject (rh0) or failure to reject (frh0)].
Based on the given information, it is not possible to determine the p-value, decision to reject (rh0) or failure to reject (frh0) without additional data or context.
To assess whether the relaxation exercise slowed brain waves, a statistical analysis should be conducted on a sample from the population.
The analysis would involve measuring brain waves before and after the exercise and comparing the results using appropriate statistical tests such as a t-test or ANOVA. The p-value would indicate the probability of observing the data if there was no effect, and the decision to reject or fail to reject the null hypothesis would depend on the predetermined significance level.
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Expand the polynomial: (2x+3)^2
Answer:
4x^2+12x+9
Step-by-step explanation:
(2x+3)^2=(2x+3)(2x+3)=4x^2+12x+9
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answer:
122
Step-by-step explanation:
The carousel at an amusement park has 20 horses spaced evenly around its circumference. The horses are numbered consecutively from 1 to 20. The carousel completes one rotation about its axis every 40 seconds.
a. What is the central angle, in degrees, formed by horse #1 and horse #8?
b. What is the speed of the carousel in rotations per minute?
c. What is the speed of the carousel in radians per minute?
d. A child rides the carousel for 6 minutes. Through how many radians will the child pass in the course of the carousel ride?
The child passes through 18π radians in the course of the carousel ride.
To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.
Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.
Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.
To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.
6 minutes is equal to 360 seconds,
so the child passes through π/20 x 360 = 18π radians during the ride.
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If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a face card?
The probability of getting exactly one face card is 0.72.
According to the questions two cards are drawn from a deck.
Since, we know that
Total number of cards in a deck = 52
Total number of face cards = 3 × 4 = 12
So, the number of ways of selecting 2 cards from a deck = \(^{52} C_{2}\)
And, the total number of ways of getting exactly one face cards
= \(^{12} C_{1} \times ^{40} C_{1}\) + \(^{40} C_{1} \times ^{12} C_{1}\)
= 2\(^{40} C_{1} \times ^{12} C_{1}\)
Therefore, the probability of getting exactly one face card
= \(\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }\)
\(= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }\)
\(= \frac{2(40\times 12)}{26\times 51}\)
\(=\frac{2\times 480}{1326}\)
= 0.72
Hence, the probability of getting exactly one face card is 0.72.
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Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
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At a show, there are 19 adults, 45 teenagers, and 36 children.
What is the probability that a person chosen at random from the audience is not a teenager?
Answer:
55% or 0.55 or 11/20
Step-by-step explanation:
probability the person chosen is an adult or child out of all
so 19+36/19+36+45
55/100
The probability that the selected person is not a teenager is \(\frac{11}{20}\).
What is probability?
Probability is a measure of happening or non happening of the outcomes of the random experiment.
Probability formulaP(E) = Total number favorable of outcomes/ Total number of outcomes
Where,
P(E) is the probability of an event.
According to the given question.
Total number of adults in the audience = 19
Total number of teenagers in the audience = 45
Total number of children in the audience = 36
Total audience = 19 + 45 + 36 = 100
Now, the probability that the selected person is teenager = \(\frac{45}{100} = \frac{9}{20}\)
Therefore,
The probability that a selected person is not a teenager
= \(1 -\frac{9}{20}\)
= \(\frac{11}{20}\)
Hence, the probability that the selected person is not a teenager is \(\frac{11}{20}\).
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How do you solve this system by elimination? 2x + 4y =8
Answer:
The answer is x=−2y+4
Step-by-step explanation:
1) Add -4y to both sides.
2x+4y+−4y=8+−4y
2x=−4y+8
Step 2: Divide both sides by 2.
2x/2=−4y+8/2
x=−2y+4
Hope this helps