I don't get this question​

Answer:

General form of a linear equation:  \(y=mx+b\)

(where m is the slope and b is the y-intercept)

A linear equation has a constant rate of change which is represented by the slope (m).  It is the rate at which one quantity is changing with respect to another quantity.

Part (a)

Given equation:  \(y=-9x+55000\)

where:

The rate of change (slope) is -9 and represents that for every 1 mile driven, the value of the car decreases by $9.

The initial value is the y-intercept (b) as this is the value when x = 0.

Therefore, the initial value of car is $55,000.

Part (b)

To find the number of miles at which the car be valued at $35,002, set the equation to $35,002 and solve for x:

\(\implies -9x+55000=35002\)

\(\implies -9x=35002-55000\)

\(\implies -9x=-19998\)

\(\implies x=\dfrac{-19998}{-9}\)

\(\implies x=2222\)

Therefore, the car will be valued at $35,002 after 2,222 miles.

Given equation:  \(y=0.39x+2.55\)

where:

The rate of change (slope) is 0.39 and represents that for every increase of 1 oz of weight in carrots, the price of the carrots increases by $0.39

The initial value is the y-intercept (b) as this is the value when x = 0.

Therefore, the initial cost of the carrots is $2.55.

Part (b)

To find the weight of carrots you can buy for $6.06, set the equation to $6.06 and solve for x:

\(\implies 0.39x+2.55=6.06\)

\(\implies 0.39x=6.06-2.55\)

\(\implies 0.39x=3.51\)

\(\implies x=\dfrac{3.51}{0.39}\)

\(\implies x=9\)

Therefore, you can buy 9 oz of carrots for $6.06

Part (c)

To find out how much it costs to buy 21 oz of carrots, substitute x = 21 into the equation and solve for y:

\(\implies y=0.39(21)+2.55\)

\(\implies y=10.74\)

Therefore, it costs $10.74 to buy 21 oz of carrots.

(a) The value of st from the second constraint into the first constraint is yt = ct + (ct+1 - ct) = 2ct + ct+1, (b) The constraint for ct+1 is yt - 2ct, (c) u(ct) = ln(ct) + βln(yt - 2ct), (d) u'(ct) = 1/ct - 2β/(yt - 2ct), (e) 1/ct = 2β/(yt - 2ct), (f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice, (g) β = 0.9524.

(a) To combine the two constraints, we can substitute the value of st from the second constraint into the first constraint:

yt = ct + st
yt = ct + (ct+1 - ct) = 2ct + ct+1

(b) Solving the constraint for ct+1, we get:

yt = 2ct + ct+1
ct+1 = yt - 2ct

(c) Plugging the constraint into ct+1 in the utility function, we have:

u(ct) = ln(ct) + βln(yt - 2ct)

(d) Differentiating the utility function with respect to ct, we get:

u'(ct) = 1/ct - 2β/(yt - 2ct)

(e) To derive the Euler Equation, we set the derivative of the utility function with respect to ct equal to 0:

0 = 1/ct - 2β/(yt - 2ct)

Simplifying, we have:

1/ct = 2β/(yt - 2ct)

(f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice. It states that the marginal benefit of consuming one additional unit today (1/ct) is equal to the discounted marginal benefit of consuming one additional unit tomorrow (2β/(yt - 2ct)).

(g) If rho=0.05 and the real interest rate is 3%, we can calculate the value of β:

β = 1/(1+rho)

= 1/(1+0.05)

= 0.9524

To determine whether ct or ct+1 is larger, we need more information.

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Answer:

7/8

Step-by-step explanation:

\(\frac{7}{8}=0.875\)

The proportion of the boards that will be greater than 122 inches is 84%

Given :

length of boards is listed as 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch.

we are aske to determine what proportion of the boards will be greater than 122 inches = ?

we have :

μ = 123

σ = 122

now, let x denote the number of boards.

⇒ X ∼N (μₓ , σₓ²) X∼N(123,1)

⇒ P(X>122)=P( X- μₓ/ σₓ >  122-123/1)

⇒ P(Z > -1)

= 0.08413

= 84%

hence we get the value as 84%

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​

Answer:

y - 9 = 3/10(x - 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (8, 9)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Step 3: Write Function

Plug in variables into general form.

y - 9 = 3/10(x - 8)

y - 6 = 3/10(x + 2)

The value of z at the end of the procedure is 84.

The term procedure in math is defined as a sequence of mathematical operations carried out in order.

Here we have given that if x was 20 and y was 2.

And here we need to find the value of z.

Here let us consider the the equation of z can be written according to the theorem it can be written as,

=> z = 4x + y²

Here we know the values of x and y then the value of z is calculated as,

=> z  = 4(20) + 2²

When we simplify the equation, then we get,

=> z = 80 +  4

=> z = 84.

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Answer:

The number is -1/2

Step-by-step explanation:

Let x be the number

2x+8 = 7

Subtract 8 from each side

2x+8-8 = 7-8

2x = -1

Divide each side by 2

2x/2 =-1/2

x = -1/2

The number is -1/2

Answer:

2x + 8 = 7

x = -1/2

Step-by-step explanation:

"a number" can be signified by a variable.

So 2 times a number would give you 2x

And 8 would mean to add 8.

Is 7 means the end result is 7.

So 2x + 8 = 7

x = -1/2

Answer: 30

Step-by-step explanation: 5 or more round it up and 4 or less give it a rest

Answer: 30

Step-by-step explanation: hope this helps :D

The grand mean for these observations is 8.

What is the grand mean in statistics?

The grand mean, also known as the pooled mean, is the average of the means of several subsamples with the same number of data points.

The given data is:

12, 8, 3, 8, 7, 7, 9, 10, 6, 11, 7, 8.

The sum of all these observations = 12 + 8 + 3 + 8 + 7 + 7 + 9 + 10 + 6 + 11 + 7 + 8 = 96.

A total number of observations = 12.

Grand mean = Sum of all these observations/Total number of observations

                     = 96/12

                     = 8

Hence, the grand mean for these observations is 8.

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The spring is compressed to 95.5 cm to the right if 129 N of force are used.

In this question, we have been given the spring constant k = 283 N/m

if 129 N of force are used then we need to find distance  that the spring compressed to the right.

Let the spring stretch from the equilibrium position x.

An equation for the spring's potential energy is,

PE = 1/2 ​kx^2

129 = 1/2 * 283 * x^2

2 * 129 = 283 * x^2

258/283 = x^2

x^2 = 0.9117

x = 0.9548 m

x = 95.5 cm

Therefore, the spring is compressed to 95.5 cm to the right if 129 N of force are used.

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Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

Answer:

x=\(\frac{-17}{4}\)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

\(\frac{4x}{4}\)=\(\frac{-17}{4}\)

x=\(\frac{-17}{4}\)

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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Answer:

\( \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40\)

I hope it helped U

stay safe stay happy

Answer:

k=1/40

Step-by-step explanation:

multiple both sides by 8k

5= 25×8k

simplify 25×8k to 200k

5=200k

divide both sides by 200

5/200=k

simplify 5/200 to 1/40

1/40= k

switch sides

k=1/40

The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

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Since, there are multiple questions so, the question answered above is attached below.

The total miles run by Mrs Hilt in a month in which there are 4 Mondays, 4 Wednesdays, and 4 Fridays is equal to 126 miles.

Every Monday, Wednesday and Friday Mrs. Hilt run = 3 1/2 miles

Mrs. Hilt runs 3 1/2 miles three times a week,

which is a total of 3 1/2 x 3 = 10 1/2 miles per week.

In a month with 4 Mondays, 4 Wednesdays, and 4 Fridays,

there are a total of 12 days in the week that Mrs. Hilt runs.

This implies, in a month, she will run a total of,

= 10 1/2 x 12

= 21/ 2 x 12

= 21 x 6

= 126 miles.

Therefore, Mrs. Hilt will run 126 miles in a month with 4 Mondays, 4 Wednesdays, and 4 Fridays.

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a. No, the matrix is not in RREF as the first non-zero element in the third row occurs in a column to the right of the first non-zero element in the second row.

b. We can reduce the given matrix to RREF by performing the following steps:

Starting with the leftmost non-zero column:

Swap rows 1 and 3Divide row 1 by 2 and replace row 1 with the result Add -1 times row 1 to row 2 and replace row 2 with the result.

Divide row 2 by 2 and replace row 2 with the result.Add -1 times row 2 to row 3 and replace row 3 with the result.Swap rows 3 and 4.

c. Yes, the matrix is in REF.

d. Since the matrix is already in REF, there is no need to reduce it any further.e. The original system has 3 equations. f. The system has 4 variables, which can be determined by counting the number of columns in the matrix excluding the last column (which represents the constants).Therefore, the answers to the given questions are:

a. No, the matrix is not in RREF.

b. Yes, the given matrix can be reduced to RREF.

c. Yes, the matrix is in REF.

d. Since the matrix is already in REF, there is no need to reduce it any further.

e. The original system has 3 equations.

f. The system has 4 variables.

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The experimental probability of an event is the ratio of the number of successful outcomes to the number of trials performed. In this case, the experimental probability of the spinner landing on red is given as 1/8, which means that for every 8 spins, it should land on red 1 time.

Option D : The experimental probability of the spinner landing on red is given as 1/8. If it landed on red 6 times, then the number of trials is

8 * 6 = 48.

The experimental probability of an event is the ratio of the number of successful outcomes to the number of trials performed. In this case, the experimental probability of the spinner landing on red is given as 1/8, which means that for every 8 spins, it should land on red 1 time.

To determine the number of trials that were performed, we need to know how many times the spinner landed on red. In this case, it landed on red 6 times.

Using the experimental probability,

Trials = Red spins * (1 / Experimental probability)

= 6 * (1 / 1/8)

= 6 * 8

= 48

Therefore, the number of trials performed is 48.

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the limit as x approaches 2 of (x - 2)/(\(x^{10}\) - 1024) is equal to 1/512.

To evaluate the limit, let's substitute x = 2 into the expression:

lim(x→2) (x - 2)/(\(x^{10}\) - 1024)

Plugging in x = 2:

(2 - 2)/(\(2^{10}\) - 1024)

Simplifying further:

0/0

We end up with an indeterminate form, as both the numerator and denominator approach zero. To evaluate this limit, we can apply L'Hôpital's Rule.

Taking the derivative of the numerator and denominator with respect to x:

lim(x→2) [(d/dx)(x - 2)] / [(d/dx)(\(x^{10}\) - 1024)]

Simplifying:

lim(x→2) [1] / [10\(x^9\)]

Plugging in x = 2:

[1] / [10 * \(2^9\)]

[1] / [10 * 512]

1/512

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Answer:

Step-by-step explanation:

\(9*8=72\\0.5*6*8=24\\10*9=90\\72+24+90=186 m^{2}\)

Answer:

64 - 21 = 42

Step-by-step explanation:

x = 64

- Hope this helped! ^ω^

For ceiling

the area of ceiling is = 12 × 10 = 120ft²

white paint cost = 120ft²

Now the four walls cost

area of two wall = 2×{length × width}

= 2(8×10)

=2×80

=160ft²

for calculating this we need to subtract that area of 2 windows and door from the total area of door.

total area of two walls was 160ft²

area of door is 22sq²

area of two windows= 2 ×(2²) = 8ft

total = 22+8 = 30ft²

Area of two walls which have 2 windows and one door = 160- 30

= 130ft²

Number of ways to select 8 countries from the United Nations is 48,054,722,400

To solve this problem, we need to use the combination method, which states that if there are m ways to perform one task and n ways to perform another task after the first task is completed, then there are m x n ways to perform both tasks in sequence.

Using this principle, we can break down the selection of 8 countries into three separate tasks

Selecting 3 countries from a block of 52: There are 52C3 ways to do this, where 52C3 is the binomial coefficient "52 choose 3," which can be calculated as follows

52C3 = (52 x 51 x 50) / (3 x 2 x 1) = 22,100

Selecting 2 countries from a block of 64: There are 64C2 ways to do this, where 64C2 is the binomial coefficient "64 choose 2," which can be calculated as follows

64C2 = (64 x 63) / (2 x 1) = 2,016

Selecting 3 countries from a block of 73: There are 73C3 ways to do this, where 73C3 is the binomial coefficient "73 choose 3," which can be calculated as follows

73C3 = (73 x 72 x 71) / (3 x 2 x 1) = 1,082,790

To find the total number of ways to select 8 countries, we simply multiply these three quantities together

22,100 x 2,016 x 1,082,790 = 48,054,722,400

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Step-by-step explanation:

Bing dad beans Finke little

Answer:

105 degrees

Step-by-step explanation:

If j and k are vertical, then they are equal. So, the first progression is to set both angles equal to each other.

3x+21=5x-35

and solve for x

21=2x-35

56=2x

x=28

then plug x back into either equation (since they are equal you just need to find one)

3(28)+21 = 105

So, the angle of k or j is 105 degrees.

k = 105

The percentage of adults who expect an inheritance ranges from 25% to 31%.

Given that (p) = 28% = 0.28,

                   E = 3% = 0.03

We can employ the formula;

Cl = (p) ± E

The confidence interval is calculated as follows:

Cl = (p) ± E

= 0.28 ± 0.03

Cl = (0.25, 0.31) (0.25, 0.31)

As a result, option (b) is correct: the percentage of all adults who expect an inheritance ranges between 25% and 31%.

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\(\huge\text{Hey there!}\\\\\\\mathsf{\dfrac{3}{21}}\\\\\mathsf{= \dfrac{3\div3}{21\div3}}\\\\\mathsf{= \dfrac{1}{7}}\\\\\huge\text{Therefore, your\ answer\ should\ be: \huge\boxed{\mathsf{\dfrac{1}{7}}}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\)

The probability that z lies between -2.41 and 0 is approximately 0.9911.

To find the probability that a standard normal variable, z, falls within a specific range, we can use the standard normal distribution table or a statistical calculator.

In this case, we want to find the probability that z lies between -2.41 and 0. By referencing the standard normal distribution table or using a calculator, we can determine the area under the curve corresponding to this range. The resulting value represents the probability of z falling within that range.

Approximately 0.9911 is the probability that z lies between -2.41 and 0 when rounded to four decimal places. This means that there is a high likelihood (approximately 99.11%) that a randomly chosen value of z from a standard normal distribution falls within this range.

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Answer:

strawberries smoothies

28 4

21 3

70 10

Step-by-step explanation:

Answer:

the standared deviation =2.87 so it is small

Step-by-step explanation:

to calculate the standard deviation of those numbers:

1- Work out the Mean (the simple average of the numbers)

(7+6+5+8+9+1+0+4+3+2)/10=4.5

Then for each number: subtract the Mean and square the result.

[(7 - 4.5)^2 + ... + (2 - 4.5)^2]/10=8.25

√8.25=2.87≅3

Answer:

A. Small

Step-by-step explanation: