Answer: (1, -5)
x = 1
y = -5
*Hope this helps, enjoy the rest of your day! ♥️*
Answer: (1, -5)
Step-by-step explanation:
I got you...
In solving system of equations there are three ways..
lets use addition
First we need to cancel out one of the variables
Lets cancel out the y
In order to do this lets multiply the top equation by -2 to get 2y and 4y to cancel out.
(-2)(-9x+2y) = -19(-2)
18x - 4y = 38
Now our system looks like this:
18x - 4y = 38
5x + 4y = -15
lets add these together
18x - 4y = 38
5x + 4y = -15 +
= 23x = 23
x = 1
We know x = 1, so substitude 1 for x in one of the equations
5(1) + 4y = -15
5 + 4y = -15
4y = -20
y = -5
This is the y value
Our final answer is (1, -5)
As an ordered pair
Find the circumference of a circle with diameter,
d
= 10.4cm.
Give your answer rounded to 3 SF.
Answer:
Step-by-step explanation:
radius(r)=diameter/2
=10.4/2
=5.2 cm
circumference of a circle =2πr
=2*3.14*5.2
=32.656
=32.7
Rebecca has two part-time jobs. She earns $10 per hour working at a store. She earns $45 per lawn mowed working for a landscaper. Her goal is to earn $1,800 to pay her monthly expenses. The situation can be modeled by the formula below, where g represents the hours Rebecca works in the grocery store and m represents the number of lawns mowed. 1,800 = 10g + 45m After Rebecca learns how many hours she is scheduled to work in the grocery store, she has to figure out how many lawns she needs to mow that month. Which equation shows the formula correctly rearranged to find m given g ?
The equation to get m for a given value of g is:
(1800 - 10g)/45 = m
Which equation shows the formula correctly rearranged to find m given g?Ok, here we have the equation:
1,800 = 10g + 45m
We want to find an equation so we can find the value of m for a given value of g, then, we need to isolate m in the above equation:
First, we can subtract 10g in both sides, so we get:
1,800 - 10g = 45m
Now we can divide both sides by 45, so we get:
(1800 - 10g)/45 = m
That is the equation that we can use to find the value of m, we just need to evaluate it in the given value of g.
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Answer:
The answer is m = -2/9 g + 40
I really need help lol
An assembly line has 16 hours to make 1.000 units. What is the required cycle time? (slide 23) 72sec 216sec 57.65sec 14,4sec
The required cycle-time is approximately 57.6 seconds.
To find the required cycle time, we need to divide the total available time by the number of units to be produced.
Total available time: 16 hours = 16 * 60 minutes = 960 minutes = 960 * 60 seconds = 57,600 seconds
Number of units to be produced: 1,000 units
Required cycle time: Total available time / Number of units
Cycle time = 57,600 seconds / 1,000 units
Cycle time ≈ 57.6 seconds
Therefore, the required cycle time is approximately 57.6 seconds.
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A soccer player uses her head to hit a ball up in the air from a height of 1 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by h = −4.9t2 + 5t + 1, where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it? Enter the time to two decimal places.
Answer:
It will take 1.19 seconds for the ball to hit the ground if no other players touch it
Step-by-step explanation:
The height of the ball after t seconds is given by the following equation:
\(h(t) = -4.9t^{2} + 5t + 1\)
How long will it take the ball to hit the ground if no other players touch it?
This is t when h(t) = 0. So
\(-4.9t^{2} + 5t + 1 = 0\)
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
\(ax^{2} + bx + c, a\neq0\).
This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:
\(x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}\)
\(\bigtriangleup = b^{2} - 4ac\)
In this question:
\(-4.9t^{2} + 5t + 1 = 0\)
So \(a = -4.9, b = 5, c = 1\)
So
\(\bigtriangleup = 5^{2} - 4*4.9*1 = 44.6\)
\(t_{1} = \frac{-5 + \sqrt{44.6}}{2*(-4.9)} = -0.17\)
\(t_{2} = \frac{-5 - \sqrt{44.6}{2*(-4.9)} = 1.19\)
Since we want a time measure, the answer cannot be negative.
It will take 1.19 seconds for the ball to hit the ground if no other players touch it
find x 4 over 3 = 8 over x
Answer:
x = 6
Step-by-step explanation:
Given
\(\frac{4}{3}\) = \(\frac{8}{x}\) ( cross- multiply )
4x = 24 ( divide both sides by 4 )
x = 6
(30)(-30) ANSWER QUICK IM DOING A WORKSHEET IN CLASS
Answer:
-900
Step-by-step explanation:
-11-6b+ 3 = 16 + 2b.
Answer:
-3=b
Step-by-step explanation:
Hey there!
In order to find the value for b, we must first combine all like terms
-11-6b+3=16+2b
-8-6b=16+2b
-24=8b
Now we simplified the equation to a point where we can find the value of b in one step
-24/8 = 8b/8
-3=b
Answer:
-3
Step-by-step explanation:
Bring to the right of = the Number with b and to the left the other.
Remember to change sign of Number when you switch
So
\( - 11 + 3 - 16 = 2b + 6b\)
Do addition
\( - 24 = 8b\)
Find b
\(b = - 24 \div 8\)
b= -3
find the number by determining part and whole.a) 2/9 of a number is 8b) 3/11 of a number is 12
Explanation
Step 1
let x represents the number so
a) 2/9 of a number is 8
\(\begin{gathered} \frac{2}{9}x=8 \\ \text{then, to isolate x multiply both sides by }\frac{9}{2} \\ \frac{2}{9}x\cdot\frac{9}{2}=8\cdot\frac{9}{2} \\ \frac{18}{18}x=\frac{72}{2} \\ x=36 \end{gathered}\)so, the numer is 36
Step 2
b) 3/11 of a number is 12
\(\begin{gathered} \frac{3}{11}x=12 \\ \text{Multiply both sides by }\frac{11}{3} \\ \frac{3}{11}x\cdot\frac{11}{3}=12\cdot\frac{11}{3} \\ \frac{33}{33}x=\frac{132}{3} \\ x=44 \end{gathered}\)so, the number is 44
Compute the MIRR statistic for Project I if the appropriate cost of capital is 12 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Project I Time: 0 1 2 3 4
Cash flow –$12,500 $6,080 $4,930 $2,270 $2,750
MIRR % Should the project be accepted or rejected?
After considering the given data we conclude that project should be rejected under the condition that appropriate cost of capital is 12 percent.
To place the Modified Internal Rate of Return (MIRR) statistic for Project I with a cost of capital of 12 percent, we can use the following steps:
Evaluate the present value of the negative cash flow at time 0, which is -$12,500.
Evaluate the future value of the positive cash flows at the end of the project, which is $2,270 + $2,750 = $5,020.
Evaluate the present value of the future value of the positive cash flows using the reinvestment rate, which is the cost of capital of 12 percent. This is evaluated as \($5,020 / (1 + 0.12)^4 = 3,052.56\).
Evaluate the MIRR using the formula: \(MIRR = (FVCF / PVCF)^{(1/n)} - 1\),
Here, FVCF is the future value of the positive cash flows discounted at the reinvestment rate, PVCF is the present value of the negative cash flow discounted at the financing rate, and n is the number of periods.
Staging in the values, we get \(MIRR = ($3,052.56 / -$12,500)^{(1/4)} - 1 = -0.0903\), or -9.03%.
Therefore the MIRR is negative, the project should be rejected as it is not expected to generate a positive return at the cost of capital of 12 percent.
Hence , the answer is to reject the project
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b) Meg flips a jar lid 120 times.
The probability of it landing rim up is 0.8.
Estimate the number of times Meg's lid lands rim up.
The lid lands rim up approximately ______
times.
Answer: 10 times
Step-by-step explanation: We take the 120 times she flipped it, with a 0.8% chance of landing rim up. We literally take 8% of 120, which is 9.6. It says estimate, so i would round it up to 10.
If i was incorrect or off at all, please reply so i can answer better in the future. Thank you, and have a great day!
prove that the eigenvectors corresponding to distinct real eigenvalues of a symmetric matrix are orthogonal.
Prove of the eigenvectors corresponding to distinct real eigenvalues of a symmetric matrix are orthogonal, given below -
What is matrix?The study of matrices is the main focus of the mathematical field known as matrix theory. It started out as a branch of linear algebra but quickly expanded to cover topics in graph theory, algebra, combinatorics, and statistics.
a collection of integers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix, are the integers. In addition to several mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.
Suppose λ and μ are 2 distinct values of matrix A.
For the matrix to be Symmetric,
(Ax , y) = (x , Ay) condition needs to be satisfied. Here, ( x,y) is dot product between vectors x and y
λ(u,v)=(λu,v) , where u,v are eigen vectors for eigen values λ and μ
⟹λ(u,v)=(Au,v)
⟹λ(u,v)=(u,Av)
⟹λ(u,v)=μ(u,v)
⟹λ(u,v)=μ(u,v)
but λ ≠ μ
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For each sequence, determine whether it appears to be arithmetic, If it does, find the common difference. Arithmetic Commons difference: d = -4, -40, -400, -4000, ... Not arithmetic Arithmetic Common difference: d= -11, -8, -5, -2, ... d Not arithmetic Arithmetic 23, 17, 11, 5, ... Common difference: d=Not arithmetic
An arithmetic sequence is a list of numbers with a definite pattern.
If we take any number and subtract the previous number, the result is the same constant.(common difference)
-4, -40, -400, -4000,
-40-(4)= -40+4 = -36
-400-(-40)= -400+40 = -360
Not arithmetic
-11,-8,-5,-2
-8-(-11) = -8+11 = 3
-5-(-8)= -5+8 = 3
-2-(-5)=-2+5 = 3
Arithmetic
Common difference: d= 3
23, 17, 11, 5,
17-23 = -6
11-17= -6
5-11 = -6
Arithmetic
Common difference: d =-6
20 points! The table below shows the cost of downloading songs from a website.
If c represents the total cost in dollars and cents for any number of songs downloaded, s, write a proportional equation for c in terms of s that matches the context.
This equation shows that the cost of downloading songs is proportional to the number of songs that are downloaded.
What is cost?The cost of something typically depends on the type of item, its quality, and the quantity desired. Prices can vary greatly depending on these factors. It is best to contact the seller for an accurate cost.
The cost for each song is 0.41 dollars, plus an additional 0.32 dollars for the transaction fee. As the number of songs increases, the total cost of the downloads increases. This is because the cost of each song is multiplied by the number of songs being downloaded, plus the additional transaction fee.
The cost of downloading songs is based on a variety of factors, including the format of the song, the artist, and the country it is being downloaded from. The cost of each song is also determined by the terms and conditions of the service provider. Additionally, taxes and other applicable fees may be applied to the total cost of the download.
This proportional equation illustrates how the cost of downloading songs is determined. By understanding the equation and the factors that influence the cost of the songs, consumers can make informed decisions when choosing which music to download. This equation can also help service providers determine the pricing structure for their services.
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i need help, you’ll receive brainlest!
Answer:
D)
Step-by-step explanation:
need help on this one!!
Step-by-step explanation:
the square root of x squared is x.
this means the( cube root of x ) to the power of 6 is what we need
PLSSSSSSSSSSSSSSS HELP I WILL MARK GOOD ANSWERS BRAINLYEST FOOL ANSWERS WILL GET REPORTED
Answer:
Kailey flipping heads: 3/4 as a fraction, 0.75 as a decimal, and 75% as a percent.
Olivia flipping tails: 9/20 as a fraction, 0.45 as a decimal, and 45% as a percent.
Step-by-step explanation:
Kailey flipped heads 15 times and tails 5 times.
First, find the total amount of times that Kailey flipped the coin.
15+5=20
Kailey flipped the coin 20 times.
Out of those 20 times, she flipped heads 15 times. We can rewrite this as:
\(\frac{15}{20}\)
and simplify it:
\(\frac{3}{4}\)
3/4 as a decimal is 0.75, and to find the percentage, simply multiply the decimal form by 100.
We can find that 3/4 as a percentage is 75%.
So, the probability of Kailey flipping heads is:
3/4 as a fraction, 0.75 as a decimal, and 75% as a percent.
Olivia flipped heads 11 times and tails 9 times.
Let's find how many times she flipped the coin.
11+9=20
Olivia flipped the coin 20 times.
Out of 20 times, Olivia flipped tails 9 times.
This can be rewritten as:
\(\frac{9}{20}\)
This fraction is already in simplest form.
To find what 9/20 is as a decimal, divide 9 by 20. You'll get 0.45.
Now, multiply 0.45 by 100 to find the percent. You'll get 45%.
So, the probability of Olivia flipping tails is:
9/20 as a fraction, 0.45 as a decimal, and 45% as a percent.
Can I please get some help on this question ?
Answer:
Step-by-step explanation:
I will help u if you help me????
Help please I am in dire need
Answer:
Answer is d=9t.
Step-by-Step:
4.5/.5=9
6.75/.75=9
13.5/1.5=9
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
C. AB = 5.8 cm
Step-by-step explanation:
In trapezoid ABCD, EF is Midsegment.
\( \therefore EF =\frac{1}{2} (AB + CD) \)
\( \therefore 9.2 =\frac{1}{2} (AB + 12.6) \)
\( \therefore 9.2\times 2= AB + 12.6\)
\( \therefore 18.4= AB + 12.6\)
\( \therefore 18.4-12.6= AB \)
\( \therefore AB= 5.8 \: cm \)
Hope this helps!!!
Have a great day!!!
The gov't of SVG has $1000,000 to share amongst (Health, Tourism, Edu) in the ratio 3.5.2 respectivity. How does each sector gets ? much honey 3 X
Answer:
The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.
Step-by-step explanation:
Of the 300 students at Central Middle School, 20% are on the honor roll.
How many students are NOT on the honor roll?
g How many ways are arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and also the consonants appear in alphabetical order
There are 43,200 number of ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order.
To find the number of ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order, follow these steps:
1. Identify the vowels and consonants: Vowels are U, I, E, A, and Y; consonants are N, R, S, S, L, and L.
2. Arrange the consonants in alphabetical order: L, L, N, R, S, S.
3. Count the number of positions available for placing the vowels: There are 7 positions available for the vowels (between the consonants and at the beginning and the end of the word), which are _ L _ L _ N _ R _ S _ S _.
4. Count the permutations of the vowels: There are 5 vowels with the letters U, I, E, A, and Y occurring once. So there are 5! = 120 permutations.
5. Consider the consonants with repeating letters: Since there are two Ls and two Ss, we must divide the total permutations by the product of the repetitions (2! for L and 2! for S). Therefore, there are 6!/(2!*2!) = 360 arrangements for consonants.
6. Combine the permutations of vowels and consonants: To find the total number of ways to arrange the letters, multiply the permutations of vowels (120) by the arrangements for consonants (360).
120 * 360 = 43,200
So, there are 43,200 ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order.
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A coat is marked down by 10% and the customer is given a second discount of 25% what is the sales price
The sales price of the coat is 67.5% of the original price
How to determine the sales price of the coat ?From the question, we have the following parameters that can be used in our computation:
Markdown rate = 10%
Second discount = 25%
The retail price of the coat can be calculated using the following equation
Retail price = original price * (1 - Markdown rate) * (1 - discount)
Substitute the known values in the above equation, so, we have the following representation
Retail price = original price * (1 - 10%) * (1 - 25%)
Evaluate the products
Retail price = original price * 0.675
Rewrite as
Retail price = 67.5% of the original price
Hence, the sales price is 67.5% of the original price
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find the slope y=-4/3x+4
The Beta [a, b] density has the form: f(x) = {[(a+b)/([(a) r()) } Xa-1 (1 - X)B-1 + - where a and ß are constants and 0 SX S1. You can check Blitzstein's book to get more details for this distribution (p. 380, or table C on p. 605).
The Beta distribution is a continuous probability distribution with support on the interval [0,1], and is often used to model random variables that have limited range, such as probabilities or proportions.
The Beta [a, b] density has the form f(x) = {[(a+b)/([(a) r()) } Xa-1 (1 - X)B-1 +, where a and b are constants and 0 <= x <= 1. This density function describes the probability of observing a value x from a Beta [a, b] distribution.
The parameters a and b are often referred to as shape parameters, and they control the shape of the distribution. Specifically, the larger the values of a and b, the more peaked the distribution will be, while smaller values of a and b will lead to flatter distributions.
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After looking through different hotel options, Gabriela and Luis decided to estimate a budget of $1,200
$
1,200
for hotel costs. They want to stay 6
6
nights at a hotel. In addition, they know they should plan to pay $240
$
240
in taxes and tips. Let c
c
represent the total cost per night they should plan for the hotel.
What is the solution to the equation that represents this situation?
Answer:
The equation will be. c= 1200 / 240 + 6 = 440. C=440 (I don't know if this is correct)
The diameter of a circle is 69 yards. The circle's circumference is about ___ yards. Use 3.14 for π.
The circumference of circle is ,
\(C=2\Pi r\)where r is the radius of circle.
The diamteter of circle is , 69 yards
Convert into radius,
\(d=2r\)\(69=2r\)\(r=\frac{69}{2}\)Substitute the radius in the circumference formula.
\(C=2\times3.14\times\frac{69}{2}\)\(C=3.14\times69\)\(C=216.66\text{ yards.}\)Hence the circumference of circle is 216.66 yards.
use the distributive property to clear the parenthesis 3(z+9)= what ?
If you are asked to evaluate the expression 3(z + 9), you can simplify it using the distributive property to get the answer of 3z + 27.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
The distributive property is a fundamental rule in algebra that allows you to simplify expressions that contain parentheses. It says that when you multiply a number by a sum (in this case, z + 9), you can distribute the multiplication to each term inside the parentheses. This means you multiply the first term in the parentheses (z) by the number outside the parentheses (3), and then you multiply the second term (9) by the same number (3).
So, when we apply the distributive property to the expression 3(z + 9), we get:
3(z + 9) = 3z + 3(9)
We can then simplify 3(9) by multiplying 3 and 9 together to get:
3(z + 9) = 3z + 27
Therefore, this means that 3(z + 9) is equivalent to 3z + 27.
Therefore, if you are asked to evaluate the expression 3(z + 9), you can simplify it using the distributive property to get the answer of 3z + 27.
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let the random variable z follow a standard normal distribution. find the value k, such that p( z > k) = 0.39.
If a random variable "z" follows a standard normal distribution and the probability of "z" being greater than "k" is 0.39, then the value of "k" such that satisfies the equation [p(z > k) = 0.39] will be 0.28
As per the question statement, a random variable "z" follows a standard normal distribution.
We are required to determine the value of "k" such that the equation [p(z > k) = 0.39] is satisfied.
To solve this question, first we will have to calculate the probability of "z" being greater than "k" and then from the Z-table, we will determine the z-score corresponding the above calculated probability value. This z-score will be our desired answer, i.e.,
Given, P(Z > k) = 0.39
Or, P(Z < k) = (1 - 0.39)
Or, P(Z < k) = 0.61
Now, from the Z table, we get the z-score corresponding to probability value of 0.61 is 0.28
Hence, (k = 0.28)
Normal Distribution: In Statistics and Probability Theory, a normal distribution is the bell-shaped frequency distribution curve of a continuous random variable, based on a set of values of the variable, which lie in a symmetrical fashion majorly situated around their mean and the rest taper off symmetrically toward either extreme.To learn more about Normal Distributions and Probability, click on the link below.
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