The inequality represented by the given graph as required to be determined in the task content is; y ≥ 0.5x.
Which inequality is represented by the given graph?It follows from the task content that the inequality which is represented by the given graph is required to be determined.
By observation; the slope of the border line is; 0.5 and the y-intercept is; 0.
Ultimately, the corresponding equation to the border line is; y = 0.5x.
Hence, since the region above the line is shaded and the line is a solid line; the required inequality is; y ≥ 0.5x.
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A company packs its fruit salad in
containers that hold 1 5/8 pounds
How many containers does it
need to hold 585 pounds of fruit
salad?
Answer: 360 containers
Step-by-step explanation: 1 5/8 in decimal form is 1.625 pounds. Divide 585 by 1.625 pounds you get 360. It takes 360 containers to hold 585 pounds of fruit
write a function g whose graph represents the indicated transformation of the graph of f. The equation f (x) = |4x + 3| + 2 transled 2 units down is
Answer:
It would be just f(x)=(4x+3) as the +2 in the original equation is translating the graph 2 units up from the x-axis
Step-by-step explanation:
f(x)=(4x+3)+2
f(x)=(4x+3)+2 -2
f(x)=(4x+3)
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
Help asap Help help help help help help help help help help help help help help
Answer:im stumped too
Step-by-step explanation:
The equation m=3b represents the times in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b) A: 3 B: 6 C:1/3 D: 1
For the given equation:
m = 3b
The constant of proportionality is 3, so the correct option is A.
How to determine the constant of proportionality?
After a small search on the internet, I've found that this question asks for the constant of proportionality.
Remember that a proportional relation is of the form:
y = k*x
Where k is the constant of proportionality, and x and y are the variables.
Here the relation is:
m = 3*b
Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.
In this way, we can see that the correct option is A.
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8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d
To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.
Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.
Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.
By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.
Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.
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The graph of y
2x2 is shifted 8 units down on a coordinate grid.
What are the roots of the equation that correspond to the new graph?
A. X=-2 and x = 2
B. X=-2 and x = 4
C. X = -4 and x = 2
D. x = -4 and x = 4
u
Answer: the correct answer would be A!
Step-by-step explanation:
Taking this test as well ☺️
Which expression is equivalent to 6√8 √√2?
A. 48√/2
B. 24
C. 24√2
D. 48
Answer:
\(6 \sqrt{8} \sqrt{2} = 6 \sqrt{16} = 6(4) = 24\)
B is the correct answer.
5. Sabrina put $3,000 into a Money Market (high-yield savings)
account with an interest rate of 2.6% compounded quarterly.
a. Write an equation to model the amount in the account over
time.
b. Assuming no deposits or withdrawals are made, how much
money would be in the account after 15 years? Show your
calculation.
c. How would this problem be different if it was compounded
"continuously" instead? Calculate the amount after 15 years.
d. Name 2 or more other situations (other than a savings
account) where you might encounter compound interest later in
your life.
let me answer the last one first
compound interest is just an exponential sequence really, where the next value is some exponential amount of the previous.
hmmm that can happen in say, a bouncing ball, the 1st bounce is high, let it keep on boucing by itself and the next bounce is usually a compounded value of the previous one, since it's smaller it'd be a Decay type of equation.
hmmm it also happens in say population growth, of any organism, humans, bees, amoebas.
now let's do the others
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=3000\left(1+\frac{0.026}{4}\right)^{4\cdot t}\implies \boxed{A=3000(1.0065)^t} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{after 15 years}}{t=15}\hspace{5em} A=3000(1.0065)^{15}\implies A\approx 3306.19 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3000e^{0.026\cdot 15}\implies A=3000e^{0.39}\implies A\approx 4430.94\)
fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
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Estimate the sum of 379+409=
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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Consider the following time series. t 1 2 3 4 5 yt 6 10 8 13 15
(a) Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data?
(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. If required, round your answers to two decimal places. y-intercept, b0 = 4.1 Slope, b1 = 2.1 MSE = ????
(c) What is the forecast for t = 6? If required, round your answer to one decimal place. 16.7 I know how to do it all but the MSE.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
t __1 2 3 4 5
yt_ 6 10 8 13 15
Using technology to produce a linear model :
The linear model obtained shows a positive linear pattern exist for the time series data :
The parameters for the line that minimizes MSE for the then series is :
y = 2.1t + 4.1
Where, slope = 2.1 ; intercept = 4.1
The mean squared error :
Sum of squared estimate of error = 9.1
Mean squared error = √9.1
Mean squared error = 3.02
Forecast for t = 6
y = 2.1t + 4.1
y = 2.1*6 + 4.1
y = 12.6 + 4.1
y = 16.7
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Isi makes sandwiches to sell at a football game.
The graph shows her costs and income from making and selling the sandwiches.
Select the three statements that are true, based on the graph.
Answer: 1)The more sandwiches you sell the more you income goes up. 2)If you sell 24 sandwiches the cost will be the same as your income. 3) If you sell 0 sandwiches you will get zero income.
Step-by-step explanation:
Extrema interpreting functions
Answer:
In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.
To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.
Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.
Solve the following absolute value inequality.
|-x+2|≤ −7
What is the positive absolute value for x?
Also, i’m aware that this cannot be solved. But, what do i put as the answer if it cannot be solved with numbers?
Answer:
empty set is the answer
Step-by-step explanation:
hope I helped
suppose a random sample of 40 houses are selected from the city. estimate the probability that the mean value of the 40 houses is less than $500,000 . show your work
a. Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.
To estimate the probability that a randomly selected house has a value less than $500,000:
P( x < 500,000)=P(x=0)+P(x=500)
=0.34+0.37+
=0.71
Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. -since 40 is larger than or equal to 30, we assume a normal distribution.
-The probability can therefore be calculated as:
P(x')=P( z < (x' -u)/σ.sqrt(n)))
P(z< (500-403)/(578sqrt(40)))
=P(z<2.2068)
=0.986336
Hence, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
The complete question is -
a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.
(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.
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Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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ASAP!!! Answer the following include all steps
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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A manufacturer has two options for making cube-shaped boxes. The cost is calculated by multiplying the surface area of the box by the cost per square inch of the cardboard. Answer parts a through c below.
The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.
Describe Quadratic functions?A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.
The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).
Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.
Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.
a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:
f(x) = 0.005(6x²) = 0.03x²
b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:
g(x) = 0.004(6x²) = 0.024x²
Therefore, the quadratic functions are:
f(x) = 0.03x² for Design A
g(x) = 0.024x² for Design B
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The complete question is:
If a triangle has a 30° angle and a 60° angle, then the hypotenuse of the triangle is twice the
length of the smallest leg of the triangle.
True
False
Determine whether the table represents a linear function, an exponential growth function, an exponential decay
function, or none.
Answer: exponential growth function
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST!!
Answer:
18 options.
Step-by-step explanation:
Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
A. 25
B. 30
C. 75
D. 83
Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times
Step-by-step explanation: Please mark brainliest
Answer:
75 -- i think
Step-by-step explanation:
let me know if im right.
How many 10-letter words real or imaginary can. Be formed from the following letters R,S,P,Q,H,J,S,M,B,A
Answer: 3628800
Step-by-step explanation: there are 10 letters so we multiply each with the other 1x2x3x4x5x6x7x8x9x10 or 10! to know all possible combinations so the answer will be 3628800.
Hope it helped!
Answer:
\(1,814,400\)
Step-by-step explanation:
The number of ways to arrange a word with \(d\) distinct digits is each to \(d!\). Since there are 10 letters, there are \(10!\) permutations initially formed.
However, there is one letter that is repeated, S. We need to account for that fact that switching the placement of the S's does not change the word, as they still appear the same. Therefore, divide \(10!\) by the number of ways you can arrange the 2 S's, which is simply \(2!\). Therefore, our answer is:
\(\frac{10!}{2!}=10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3=\boxed{1,814,000}\)
Please assist with the following questions
The answers for following questions are;
i. $244.64
ii. $ 5314.64
What is future value?Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value is important to investors and financial planners, as they use it to estimate how much an investment made today will be worth in the future.
Here, future value or amount;
A = P(1 + r)ⁿ
Where,
A = future value = ?
P = principal = $ 12,300
r = interest rate = 6%/12 = 0.06/12 = 0.005
n = number of periods = 12 X 6 years = 72
A = P(1 + r)ⁿ
= 12,300(1 + 0.06/12)⁷²
= 12300 (1 + 0.005)⁷²
= 12300 (1.005)⁷²
= 12300 (1.4384)
= 17,614.64
Each monthly payment = Total payment / number of months
= $17,614.64 / 72
= $ 244.64
Total amount of interest = Total payment - Principal payment
= 17,614.64 - 12300
= $ 5314.64
Thus, The answers for following questions are;
i. $244.64
ii. $ 5314.64
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(11/2)x2y – (9/4)xy2 + (1/4)xy - (1/14)y2x + (1/15) yx2 + (1/2)xy
Explanation
\(\frac{11}{2}x^2y-\frac{9}{4}xy^2+\frac{1}{4}xy-\frac{1}{14}y^2x+\frac{1}{15}yx^2+\frac{1}{2}xy\)
Step 1
group similar terms
\(\begin{gathered} \frac{11}{2}x^2y-\frac{9}{4}xy^2+\frac{1}{4}xy-\frac{1}{14}y^2x+\frac{1}{15}yx^2+\frac{1}{2}xy \\ (\frac{11}{2}x^2y+\frac{1}{15}yx^2)+(-\frac{9}{4}xy^2-\frac{1}{14}y^2x)+(\frac{1}{2}xy+\frac{1}{4}xy) \end{gathered}\)Step 2
add similar terms
\(\begin{gathered} (\frac{11}{2}x^2y+\frac{1}{15}yx^2)+(-\frac{9}{4}xy^2-\frac{1}{14}y^2x)+(\frac{1}{2}xy+\frac{1}{4}xy) \\ (\frac{11}{2}+\frac{1}{15})(yx^2)+(-\frac{9}{4}-\frac{1}{14})(y^2x)+(\frac{1}{2}+\frac{1}{4})(xy) \\ \frac{167}{30}yx^2-\frac{65}{28}y^2x+\frac{3}{4}xy \end{gathered}\)Solve for X and Y 1. y = 2x
6x + 3y = 12
2. y = -4x + 2
y = 6x - 8
3. y = x - 4
-4x - 6y = -16
4. x = 3y + 1
2x + 4y = 12
Answer:
Step-by-step explanation:
1. If y =2x
solve for y in (6x +3y) = 12
6x + 3(2x) = 12, 6x + 6x =12
12x = 12 , x= 1
to find y , from y =2x
y = 2(1) , ( x = 1 and y = 2)
2. y = -4x + 2
y = 6x -8
y = (-4x + 2)(6x-8)
= -4x ( 6x -8) + 2(6x-8)
-24\(x^{2}\) + 32x + 2(6x-8)
-24x2 + 44x - 16
3. y = x -4
-4x -6y = -16
-4x - 6(x - 4) = -16
-4x - 6x - 24 = -16
-10x - 24 = -16
-10x = -16 + 24, -10x = -8
x = 0.8 , to get y , we input x value into eqn(y = x-4)
y = 0.8 -4, y = -3.2
x = 0.8, y = -3.2.
4. x = 3y + 1
2x + 4y =12
2(3y + 1) + 4y = 12
6y + 2 + 4y = 12
10y + 2 = 12
10y = 12 -2
10y = 10
y = 1, to get x
x = 3y + 1
x = 3(1) + 1 , x = 4
( x = 4 and y = 1).