Answers here or on your
own paper
Description:
Equation:
Jada and Noah counted the number of steps
they took to walk a set distance. To walk the
same distance, Jada took 8 steps while Noah
took 10 steps. Then they found that when
Noah took 15 steps, Jada took 12 steps.
Let a represent the number of steps
Jada takes and let y represent the
5
number of steps Noah takes.y =
a. Create a table that C. How can you see or
represents this calculate the constant of
situation with at proportionality in each
least 3 pairs of representation? What
values.
does it mean?
b. Graph this d. Explain how you can tell
relationship and
that the equation,
label the axes. description, graph, and
table all represent the
same situation.
V Illustrative
Mathematics
Unit 3 • Lesson 3. Activity 2
Kendall Hunt
eaker notes

Answer:

104

Step-by-step explanation:

The surface area of a rectangular prism is 2*h*w+h*d+d*w where h is the height, w is the width, and d is the depth. In this case, the equation is \(2*5*6+5*2+6*2\) which adds up to 104.

Answer:A

Step-by-step explanation:

I JUST TOOK THE TEST ON EDGE

The possible root of the function are: ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.

In algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator and the constant term (the one without a variable) must be divisible by the fraction's numerator.

We have the function f(x) = 9\(x^4\) - 2x² - 3x + 4.

For Polynomial Function

f(x) = p\(x^n\) + ...... + q

So, The possible rational roots are calculated using

Roots = ± factors of p / factors of q

          = ± factors of 4 / factors of 9

          = ± 1, 2, 4 / 1, 3, 9

So, the possible rational roots are ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.

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Answer:

Step-by-step explanation:

\(\sqrt[3]{125}\\\\\mathrm{Factor\:the\:number:\:}\:125=5^3\\\\=\sqrt[3]{5^3}\\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\\\sqrt[3]{5^3}\\\\=5\)

Answer:

your answer would be c thank me later

Step-by-step explanation:

Answer:

The answer is 63.1

Step-by-step explanation:

Answer:

The probability that a student taking only math will get picked is approximately 29%

Step-by-step explanation: This is because out of the total number of students taking math (95), 52 of such students are also taking science. In order to get the number of students only taking math you have to do 95-52=43 and to put that against the amount of total students the ratio would be 43:147 or 42/147 and if you plug 42/147 into a calculator you will recieve a long decimal that you can then round to 29%.

Answer:

b^12

Step-by-step explanation:

(b^4)^3

We know that x^y^z = x^(y*z)

b^4^3 = b^*4*3) = b^12

If all the numbers involved are rational, then the result will be rational. If one or more of the numbers are irrational, the result may or may not be rational, depending on the specific numbers involved in the calculation.

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In this answer, we will explain how to determine whether a calculation involving numbers results in a rational number or not.

To determine whether a calculation results in a rational number or not, we need to follow a few steps. First, we need to identify the numbers involved in the calculation. If all the numbers are rational, then the result will also be rational.

However, if one or more of the numbers involved in the calculation is not a rational number, then the result may or may not be a rational number. For example, if we divide a rational number by an irrational number, the result will be an irrational number. This is because dividing a rational number by an irrational number results in a number that cannot be expressed as a ratio of two integers.

On the other hand, if we multiply a rational number by an irrational number, the result may or may not be a rational number. It depends on the specific numbers involved in the calculation.

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Complete Question:

How do you solve rational number calculation?

(a) The probability distribution of the number of machines not running, and the mean of this distribution is 0.899.

(b)The expected fraction of time that the repair technician will be busy is 88.9% of the time.  

(a) Let X be the number of machines not running. At that point, X can take on values 0, 1, 2, 3, or 4. We will discover the likelihood conveyance of X as takes after:

P(X = 0) = P(all machines are running) = \(e^(-84)^4\)/4! = 0.302

P(X = 1) = P(one machine isn't running) = (4)(\(e^(-84)^3\)/3!) = 0.393

P(X = 2) = P(two machines are not running) = (6)(\(e^(-84)^2\)/2!) = 0.236

P(X = 3) = P(three machines are not running) = (4)(\(e^(-84)^1\)/1!) = 0.067

P(X = 4) = P(all machines are not running) = \(e^(-8*4)^0\)/0! = 0.002

The cruel(mean)  of this dispersion is E(X) = (0)(0.302) + (1)(0.393) + (2)(0.236) + (3)(0.067) + (4)(0.002) = 0.899.

(b) Let Y be the division of time that the repair specialist is active. At that point, Y can be communicated as

Y = T/(T + R),

where T is the full time that machines are not running

and R is the entire time that went through on repairs.

We know that

T has an Erlang dispersion with parameters

n = 4 and λ = 1/8 (since the running time of each machine has exponential dissemination with cruel 8 hours).

Subsequently, the anticipated esteem of T is E(T) = n/λ = 32 hours.

Additionally, R has an exponential dispersion with cruel 4 hours,

so E(R) = 4 hours. In this way, we have:

E(Y) = E(T/(T + R))

= E(T)/E(T + R)

= 32/(32 + 4)

= 0.889.

In this manner, ready to anticipate the repair professional to be active around 88.9% of the time. 

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Answer:

(0, 1)

(-1, -1)

(1,3)

Step-by-step explanation:

Given the function;

y = 2x + 1

when x = 0

y = 2(0)+1

y = 1

Hence the required pair is (0, 1)

when x = -1

y = 2(-1) + 1

y = -2 + 1

y = -1

Hence the coordinate is (-1, -1)

when x = 1

y = 2(1) + 1

y = 2 + 1

y =3

Hence the coordinate is (1, 3)

Naron is three times older than his sister, which means his age is 3X.

Let's assume that the age of Naron's sister is X years old. According to the question, Naron is three times older than his sister, which means his age is 3X.
In two years, Naron's age will be 3X + 2, and his sister's age will be X + 2. The question states that in two years, Naron will be twice as old as his sister.
So, we can write the equation:
3X + 2 = 2(X + 2)
Solving for X, we get:
X = 2
This means that Naron's sister is currently 2 years old. Therefore, Naron's age is 3 times older than his sister, which is 6 years old.
In summary, Naron is currently 6 years old, and his sister is currently 2 years old. Let N represent Naron's age and S represent his sister's age. According to the given information, N = 3S, which means Naron is 3 times older than his sister. In 2 years, Naron's age will be N+2, and his sister's age will be S+2. At that time, Naron will be twice as old as his sister, so N+2 = 2(S+2).
Now, we have two equations:
1) N = 3S
2) N+2 = 2(S+2)
Substitute equation 1 into equation 2:
3S+2 = 2(S+2)
Solve for S:
3S+2 = 2S+4
S = 2
Now, substitute the value of S back into equation 1:
N = 3(2)
N = 6
So, Naron is currently 6 years old, and his sister is 2 years old.

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Answer:

9x5+6

Step-by-step explanation:

5 people x $9 ticket + the $6 popcorn

Answer:

your answer is (2,3) i think so .......am i right...or wrong..

Answer:

Jake has 9 sheep left

Step-by-step explanation:

As the question says, Jake has 12 sheep and all but 9 die. This means that he has 9 sheep left.

Answer:

3

Step-by-step explanation:

Jake has 12 sheeps but 9 died

Jake loss 9 sheeps

Solution:

12-9

=3

The solution to the system of equations f(x) = g(x) is:

x = -2, y = 3.

A system of equations is a set of equations that is related, and the solution of the system is found when the equations are equal, that is, when the equations all intersect.

In the context of this problem, the equations are given as follows:

The solution to the given system of equations is at the value of x for which f(x) = g(x), hence it is obtained as follows:

f(x) = g(x)

2x + 7 = -x + 1 (solve just line any equality, isolating the desired variable).

2x + x = 1 - 7

3x = -6

x = -6/3

x = -2.

The y-coordinate of the solution of the system is given as follows:

y = -(-2) + 1 = 2 + 1 = 3.

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\(7\frac{1}{2}\implies 7.5\hspace{5em}1\frac{1}{4}\implies 1.25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{Monday through Friday} }{\stackrel{ days }{(5)}\stackrel{ rate }{(10.80)}\stackrel{ hours }{(7.5)}}~~ + ~~\stackrel{ Saturday }{\stackrel{ days }{(1)}\stackrel{ rate }{(10.80)(1.25)}\stackrel{ hours }{(7.5)}} \\\\\\ 405~~ + ~~101.25\implies \text{\LARGE 506.25}\)

Answer:

(C) Division Property of Equality

Step-by-step explanation:

Looking at the equation \(2y=18\), we see that if we want to isolate y, we need to divide it by 2 - because we're multiplying it by 2, and 2 times a number divided by 2 is just the number.

The Division Property of Equality states that if we have an equation, \(a=b\), then \(a\div c = b\div c\).

So, that means \(2y\div 2\) will be equal to \(18 \div 2\), which is 9.

Hope this helped!

Answer:

C. Division Property of Equality

Step-by-step explanation:

The equation is

2y = 18

The answer is of the form

y = a number

Now, we have 2y. We want y alone. 2y means 2 multiplied by y. Since we want y alone, to undo the multiplication of 2 and y, we need to use division. We need to divide 2y by 2. Then we also need to divide the right side by 2. Since we are using division, the answer is:

C. Division Property of Equality

Answer:

45*3=135

Step-by-step explanation:

45 is 100% then its 1/1

just multiply by by 3 and u will get 3/1

Answer:

p=-5

Step-by-step explanation:

5p-3p=-2-8

2p=-10

p=-5

Answer:

30

Step-by-step explanation:

\(A=\frac{1}{2}bh=\frac{1}{2}(5)(12)=30\)

Answer:

48 ounces butter

42 ounces sugar

60 ounces of flour

25 eggs

6 TSP baking powder

Answer:

t=18

Step-by-step explanation:

3t+12=66

Subtract 12

3t=54

t=18

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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The equations that are true for all real numbers a and b contained in the domain of the functions are: tan(a + π) - tan(a) = 0, sin(2a) - cos(2a) = 0, sin(a + 2π) = sin(a), sin(a - b) - sin(a)cos(b) - cos(a)sin(b) = 0

tan(a + π) - tan(a) = 0: This equation is true because the tangent function has a period of π, which means that tan(a + π) is equal to tan(a). Therefore, the difference between the two tangent values is zero.

sin(2a) - cos(2a) = 0: This equation is true because of the identity sin^2(a) + cos^2(a) = 1. By substituting 2a for a in the identity, we get sin^2(2a) + cos^2(2a) = 1. Simplifying this equation leads to sin(2a) - cos(2a) = 0.

sin(a + 2π) = sin(a): This equation is true because the sine function has a period of 2π. Adding a full period to the argument does not change the value of the sine function.

sin(a - b) - sin(a)cos(b) - cos(a)sin(b) = 0: This equation is true due to the angle subtraction identities for sine and cosine. These identities state that sin(a - b) = sin(a)cos(b) - cos(a)sin(b), so substituting these values into the equation results in sin(a - b) - sin(a)cos(b) - cos(a)sin(b) = 0.

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Answer:

C. \(y = - \frac{1}{4} x - 2\)

Step-by-step explanation:

To find slope using coordinates, use the formula above.

\((4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → - \frac{1}{4} \)

Now, using the \(y = mx + b\) formula, plug in \( - \frac{1}{4} \) as \(m\) (slope) and either coordinate as the \(x\) and \(y\) values. It looks like this:

\( - 3 = - \frac{1}{4}(4) + b\)

To solve for \(b\), continue to use PEMDAS.

\( - 3 = - \frac{1}{4}(4) + b→ - 3 = - 1 + b→ - 2 = b\)

Now use \(m\) and \(b\) to solve for your equation:

\(y = - \frac{1}{4} x - 2\)

The answer is C.

Answer:

i belive it is the first one.

Step-by-step explanation:

Answer: x1  = 5

               x2 = 1

Step-by-step explanation:

1. Identify the coefficients

2. Move the constant to the right side of the equation and combine

3.  Complete the square

4. Solve for x

Answer:

x = 5 and 1

Step-by-step explanation:

\(x^2-6x+5=0\\x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}\\x_{1,\:2}=\frac{-\left(-6\right)\pm \:4}{2\cdot \:1}\\\rightarrow x_1=\frac{-\left(-6\right)+4}{2\cdot \:1},\:x_2=\frac{-\left(-6\right)-4}{2\cdot \:1}\\\\\frac{-\left(-6\right)+4}{2\cdot \:1}\\\\=\frac{6+4}{2\cdot \:1}\\\\=\frac{10}{2\cdot \:1}\\\\=\frac{10}{2}\\\\=5\\\\\\\frac{-\left(-6\right)-4}{2\cdot \:1}\\\\=\frac{6-4}{2\cdot \:1}\\\\=\frac{2}{2\cdot \:1}\\\\=\frac{2}{2}\\\\=1\)