The next two problems show the attempts of two different students to provide a proof of the same statement. Each proof has something about it that is not quite correct. Explain how you would improve the argument.

Answer:

B) y= 5x + 26

Step-by-step explanation:

if susie starts with 26 rocks and adds 5 rocks each month and x=months then the correct option is Option B

Answer:  y = 5x+26  (choice B)

==========================================

Explanation:

The equation y = mx+b is in slope intercept form

m = slope

b = y intercept

The y intercept is the starting amount. In this case, she starts with b = 26 rocks. The m = 5 refers to the fact she adds 5 rocks per month. Each time x goes up by 1, y goes up by 5. Think of slope = rise/run = 5/1

rise = 5 = go up by 5 rocks

run = 1 = each time you go up by 1 month

Answer:

I haven't done much of this off the internet but from what I found you would just write the same number so 1 would be 1 however if it's super serious you might want to wait for someone else to answer this.

Step-by-step explanation:

Answer:

-8.9 is x and y is -25.1

Step-by-step explanation:

Answer:

x = 14 and y = 42

Step-by-step explanation:

From the two entries that have both the numbers od adults*A) and students(S) we find a ratio of S/A to be 7 for both cases.  We'll make the assumption that is the same ratio in the two cases involving x and y.

To find x and y, multiply the number of adults by 7 to find the number of students,

x = 14 and y = 42

A      S    Ratio S/A = 7

1 7      7

2 x     14

4 28    28

6 y    42

There are 16 half-cup servings of beans and 4, three-ounce servings of shrimp.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represents number of half-cup servings of beans

Let y represents  number of 3 ounce servings of shrimp  

We have a system of equations, one for carbs and one for calories;

7x + 9y = 150

30x + 190y = 1400  

Now,

30(7x + 9y) = 30(150)  

-7(30x + 190y) = -7(1400  )  

210x + 270y = 4440  

-210x - 1330y = -8680

-1060y = -4240  

y = 4

Then substitute we get;

7x + 9y = 150

7x + 9(4) = 150

7x + 36 = 150

7x =  112

x = 16

Hence; X = 16 and Y= 4

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A flowchart is a diagram that shows a workflow or procedure. A diagrammatic explanation of an algorithm or a step-by-step procedure for solving a problem is another definition of a flowchart.

The phases are represented in the flowchart as a sequence of boxes of varying sizes that are connected by arrows in the right order.

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The sum of the two digits of Joey's age the next time his age is a multiple of Zoe's age is of 11, and this measure was found using a system of equations.

The variables for the system of equations in this problem are given as follows:

Joey is one year older than Chloe, hence:

x = y + 1.

Zoe is exactly one year old, hence:

z = 1.

The difference between the ages of Chloe's and Zoe's have 9 factors. Numbers with nine factors have the following format:

x² x y² , with different x and y.

These numbers have to be different of 1, due to Zoe's age, hence the smallest number is given as follows:

2² x 3² = 4 x 9 = 36.

Since the difference is of 36 years old, so the ages are as follows:

The next time this will happen is in 36 years, hence Joey's age will be of:

36 + 38 = 74 years old.

The sum of the digits will be of:

7 + 4 = 11.

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Answer: c. Vertical angles

Step-by-step explanation:

It will take 300 minutes to fill the pool if only 3 taps are used

From the question, we have the following parameters that can be used in our solution:

Number of taps = 5 taps

Number of minutes = 180 minutes

From the above parameter, we can calculate the constant of proportionality

The constant of proportionality is calculated as

Constant of proportionality = Number of taps * Number of minutes

Substitute the known values in the above equation

So, we have the following equation

Constant of proportionality = 5 * 180

Evaluate the quotient

Constant of proportionality = 900

The number of minutes it will take to fill the pool is then calculated as

Constant of proportionality = Number of taps * Number of minutes

Where

Constant of proportionality = 900

Number of taps = 3

Substitute the known values in the above equation

So, we have the following equation

900 = 3 * Number of minutes

This gives

Number of minutes = 900/3

Evaluate

Number of minutes = 300

Hence, the number of minutes is 300 minutes

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Answer:

f(-4) = - 87

Step-by-step explanation:

f(-4) = - 4·(-4)^2 + 3·(-4) - 11

f(-4) = - 4·16 - 12 - 11

f(-4) = - 64 - 12 - 11

f(-4) = - 87

Step-by-step explanation:

1.

[tex]f( - 4) = - 4( - 4) ^{2} + 3( - 4) - 11[/tex]

2.

[tex] f( - 4) = - 4(16) - 12 - 11[/tex]

3.

[tex]f( - 4) = - 64 - 23[/tex]

4.

[tex]f( - 4) = - 87[/tex]

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The given system of equations has no solution.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 3 = 4 is an equation.

We have,

-3x + 3y = 4 ____(1)

2x = 2y + 6 _____(2)

From (2) we get,

x = (2y + 6) / 2

x = y + 3 ____(3)

Substituting (3) on (1).

-3 (y + 3) + 3y = 4

-3y - 9 + 3y = 4

-9 = 4

We see that there are no solutions to the given equation.

Thus,

The given system of equations has no solution.

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In linear equation, Maximize this profit equation: P = 10X + 8Y

What are a definition and an example of a linear equation?

Bounded by (hours): Assembly hours≤ 3200, Packaging hours ≤960

Assembly time (subject to above boundary):

32A + 20B ≤ 3200

Packaging time (subject to above boundary):

8A + 10B ≤960

Maximize this profit equation: P = 10X + 8Y

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Answer: A

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

Based on the given conditions, formulate:

Calculate the sum or difference:

Convert decimal to fraction:

Divide a fraction by multiplying its reciprocal:

Cross out the common factor:

Calculate the product or quotient:

Answer:

Answer: 3,000

Step-by-step explanation: the 7 in the hundreds place is greater than 5 so you increase the 2 in the thousands place by 1

Answer: La luna tiene 4.53 billion anos

Step-by-step explanation:

A solution of NaOH is a really strong base, so, when it's dissolved in water to form a solution, it dissociates completely in it's ions: and its

pH = 14.8344 and rounded it will be 14.8

it dissociates completely in it's ions:

NaOH -------> Na⁺ + OH⁻

So, to calculate the pH, we first need to calculate the OH concentration. As it was stated before, a strong base like this, it will dissociate completely so the concentration of OH will be the same concentration of NaOH:

[OH⁻] = 6.83 M

The pH is calculated with the following expression:

14 = pH + pOH

So, with the OH we can calculate the pOH, and then, the pH:

pOH = -log[OH⁻]

pOH = -log(6.83) = -0.8344

So the pH:

pH = 14 - pOH

pH = 14 - (-0.8344)

pH = 14.8344 and rounded it will be 14.8

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Answer:

Answer down below!

Step-by-step explanation:

Let's rewrite the sentence and then pinpoint the exact points!

Your conclusion will be bolded!

"If you are living in California, then you live in the state that has the tallest mountain in the lower 48 states."

The conclusion is the last part of the statement that clearly states the decision based on the components of the test (or hypothesis)

Answer:

the little peice (x) is 37 cm

the second piece(x +26) = 37 + 26 = 63 cm

Step-by-step explanation:

think the little or second piece is x

and another piece is (x + 26)

according to question,

x + x+26 = 100

2x + 26 = 100

2x = 100 - 26

2x = 74

x = 74 ÷ 2

x= 37

Answer:

value of -4x=16.

value of -4x=10.

The z-score of the person who scored 178 on the exam is fund as 2.8.

For the given question,

Mean μ = 150

Standard deviation σ = 10

Observed value x = 178.

The z-score is calculated as;

z = (x - μ)/σ

z = (178 - 150)/10

z = 28/10

z = 2.8

Thus, the z-score of the person who scored 178 on the exam is fund as 2.8.

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Answer:

y + 3 = (1/9) (x - 4)

Step-by-step explanation:

y2-y1 / x2-x1

-4 -(-3) / -5 - 4

Double negative switches the # to a positive

-4+3 / 5 - 4

= -1 / -9

Two negatives equal a positive

m=1/9

y-y1=m(x-x1)

y-(-3)=(1/9)(x-4)

Double negative=positive #

y+3=(1/9)(x-4)

Distribute (1/9) to the x and -4

y+3= (1/9)x - (4/9)

Subtract 3 from both sides

y = -3.4

Answer:

x=-4 or -7

Step-by-step explanation:1: 2x+11=3

2x=-8

x=-4

2: -(2x+11)=3

2x+11=-3

2x=-14

x=-7

Answer:

2.35 x 5 = 11.75

Step-by-step explanation:

We take 2.35 and 5. We put it in a multiplication equation and multiply. We end up with 2.35 x 5 = 11.75

There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women.

Standard error sm = 1.634

Test statistic t = 1.102

P-value = 0.28

This is a hypothesis test for the population mean.

The claim is that women who exercise daily have a significantly different duration of labor than all women.

Then, the null and alternative hypothesis are

[tex]H_{0}[/tex] : μ=16

[tex]H_{0}[/tex] : μ≠ 16

The significance level is 0.05.

The sample has a size n=29.

The sample mean is M=17.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√77.4=8.8.

The estimated standard error of the mean is computed using the formula:

[tex]s_{M}[/tex]   =   [tex]\frac{s}{\sqrt{n} }[/tex]   =   [tex]\frac{8.8}{\sqrt{29} }[/tex]=   1.634

Then, we can calculate the t-statistic as

t=(M-μ)/(s/[tex]\sqrt{n}[/tex])=(17.8-16)/1.634)=1.102

The degrees of freedom for this sample size are:

df=n-1=29-1=28

This test is a two-tailed test, with 28 degrees of freedom and t=1.102, so the P-value for this test is calculated as (using a t-table):

[tex]P_{value}[/tex]=2.P(t≥1.102)=0.28

As the P-value (0.28) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women

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The car' s worth after the end of third year will be $18100.

An asset loses value over time as a result of use, damage, or obsolescence. Depreciation is the measurement for this decline. Depreciation, or a decline in asset value, can be brought on by a variety of other variables, such as bad market conditions, etc. Depreciation is the estimated decrease in value of fixed assets over the course of a fiscal year. Large lump sum purchases are made for tangible things like real estate, machinery, vehicles, and so forth.

Given Data

An automobile purchased for $34,000 is worth $2200 after 6 years.

Annual depreciation = [tex]\frac{34000-2200}{6}[/tex]

Annual depreciation = [tex]\frac{31800}{6}[/tex]

Annual depreciation = 5300

In 3 years depreciation would be

= 5300(3)

= 15900

Thus the value after the end of third year will be:

34000 - 15900

18100

The car' s worth after the end of third year will be $18100.

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The ratio of the volume of the large sphere to the volume

of the small sphere is 1226 .

V = 4/3 r³ is the equation to calculate a sphere's volume. The volume of a sphere is calculated using the following formula: 4/3rds of Pi and the cube of the sphere's radius. A sphere is a geometrical object that is a three-dimensional equivalent of a two-dimensional circle . A sphere is a collection of points in three-dimensional space that are all located at the same r distance from a particular point. The radius of the sphere is equal to r, and the provided point is its center. In the works of the ancient Greek mathematicians, spheres are first mentioned.

In several branches of mathematics, the sphere serves as a basic building block. Also found in nature and industry are spheres and nearly-spherical shapes.

Volume sphere = 4/3πr³

Volume of sphere 1

D = 4 inches

r = 2 inches

So,

Volume = 4/3π(2)³

= 33.51 inches³

Volume of sphere 2

D = 428 inches

r = 214 inches

So,

Volume = 4/3π(214)³

= 4.11 ×[tex]10^{7}[/tex] inches³

Ratio

= sphere 2: sphere 1

= 4.11 ×[tex]10^{7}[/tex] : 33.51

= 1226

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