I need answers to #8 with how to graph it and answer to #9 a-c

The equation of the line in slope0intercept form is y = (4/3)x - 5 and the blue line satisfies it.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, Are four lines and we have to determine which line represents the equation - 3y = 15 - 4x.

In slope-intercept form, it is,

y = (4/3)x - 5.

Now, when x is 3, y = - 1 we have t observe the lines here and the blue line satisfies it.

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Answer:

Step-by-step explanation:

According to the information in the graph, it can be inferred that Thandi is wrong because the eagle totems are not equivalent to 20% of the totems in Alaska.

To find the Thandi error we must perform the following mathematical operation.

5 + 3 + 2 + 10 = 20

20 / 100 = 0.2

0.2 * 20 = 4

According to the above, it can be inferred that the 5 totems represent more than 20% of the totems in Alaska, since 20% is equivalent to 4 totems. Actually, the 5 totems represent 25%.

Note: This question is incomplete. Here is the complete information:

graph attached

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Answer:

To find out how much mixture is needed for each cupcake, we can divide the total amount of mixture (4 kg) by the number of cupcakes (244).

4 kg / 244 cupcakes = 16.393 g/cupcake

To find out how much milk is needed for each cupcake, we can divide the total amount of milk (366 ml) by the number of cupcakes (244).

366 ml / 244 cupcakes = 1.496 ml/cupcake

So, for each cupcake we need 16.393g of mixture and 1.496ml of milk

Step-by-step explanation:

Number which is not divisible by 2 = 3515

The correct option is B.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.

Given,

Product of two numbers is divisible by 2.

Given products of numbers

248, 3515, 3412, 236

Numbers divisible by 2 should end with 2, 4, 6, 8, 0

3515 is the number that end with 5, not with 2, 4, 6, 8, 0.

Hence, 3515 is not divisible by 2.

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Answer: 200 pairs

Step-by-step explanation:

The store made a profit of $9,000 - $5,000 = $4,000.

Since they made a profit of $20 per pair of sunglasses, we can divide the total profit by $20 per pair to find out how many pairs of sunglasses were involved.

So, the number of pairs of sunglasses is $4,000 / $20 = 200 pairs.

Answer:

horizontal y=1

vertical x=6

Answer:

see below

Step-by-step explanation:

horizontal line:y=1 cause on this line y is always 1 regardless what x is

vertical line: x=6 cause on this line x is always 6 regardless what y is

The system of equations is inconsistent and has no solution.

Here's a step by step process to check for consistency:

2x + y = -5

82x + 3y = 1

Subtracting the first equation from the second gives us:

80x + 2y = 6, which can not be true for any values of x and y.

Therefore, the system of equations has no solution and no approximation of y can be made.

The arrangement of conditions gave doesn't have an answer, since it prompts clashing responses. Basically, when we plug in values for x, the conditions offer us two unique responses for y, and that implies there is definitely not a solitary point that fulfills the two conditions. This makes it difficult to track down an incentive for y that would make the two conditions right. It's like attempting to adjust two teeter-totters simultaneously with loads, yet the loads are different on each side, making it difficult to adjust the two sides. For this situation, there is no arrangement, so finding an incentive for y that works for the two equations is impractical.

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Answer:

For a heptagon or other polygon to be classified as convex, the interior angles must total less than 180°. Any ordinary heptagon could be classified as a convex heptagon.

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Answer:

2400 cm^2

Step-by-step explanation:

Area of a rectangle is its Length X Breadth

so in this case,

Area = 24 x 100

= 2400 cm^2

Answer:

  0.06254%

Step-by-step explanation:

You want the percentage error in using 4·4=16 as an estimate for the area of a rectangle that is 4.1 by 3.9.

The percentage error is found using the formula ...

  percent error = (estimate - actual)/actual × 100%

  percent error = (16 -(4.1×3.9))/(4.1×3.9) × 100%

  = (16 -15.99)/15.99 × 100% ≈ 0.06254%

Answer: The actual area of the rectangle is 4.1 * 3.9 = 16.09. The percentage error is calculated as follows:

(|actual value - approximate value| / actual value) * 100% = (|16.09 - 16| / 16.09) * 100% = 0.57%

So, the percentage error is 0.57%.

Step-by-step explanation:

The correct option regarding the given sets is option(b)  which shows that A ∩ B' = {3}.

What is set theory?

The area of mathematical logic known as set theory examines sets, which are essentially collections of objects. Set theory is an area of mathematics that primarily focuses on items that are pertinent to mathematics as a whole, despite the fact that any form of an object can be grouped into a set.

Given,

      U = {a,b,c,1,2,3,4}

      A = {b,2,3}

      B = {a,b,2,4}

      C = {4}

      D = {c,3}

      E = {a,b,1,2,3}

      B' = U - B =  {a,b,c,1,2,3,4} -  {a, b,2,4} = {c,1,3}

     A ∩ B' = {b,2,3} ∩ {c,1,3} = {3}

Therefore the correct option regarding the given sets is option(b).

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The probability that the sample proportion will be within +/- .02 of the population proportion for a sample of 1600 households is 0.9945.

a. To calculate σ(p), the standard error of the proportion of households spending more than $100 per week on groceries, we can use the following formula:

Where p is the population proportion and n is the sample size.

In this case, p = .17 and n = 800, so the standard error of the proportion of households spending more than $100 per week on groceries is σ(p) = 0.0126.b.

To calculate the probability that the sample proportion will be within +/- .02 of the population proportion, we can use the following formula:

P(|p – p0| ≤ δ) = 1 – 2α

Where p is the population proportion, p0 is the sample proportion, δ is the margin of error, and α is the level of significance (which is usually set to 0.05).

In this case, p = .17, p0 = .17, δ = .02, and α = 0.05, so the probability that the sample proportion will be within +/- .02 of the population proportion is 0.9000.c. To calculate the probability that the sample proportion will be within +/- .02 of the population proportion for a sample of 1600 households, we can use the same formula as above, but with n = 1600.

In this case, p = .17, p0 = .17, δ = .02, and α = 0.05, so the probability that the sample proportion will be within +/- .02 of the population proportion for a sample of 1600 households is 0.9945.

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Answer:

The place value of 1 = 1 * 1,000 = 1,000

The place value of 2 = 2 * 100 = 200

The place value of 3 = 3 * 10 = 30

The place value of 0 = 0 * 1 = 0

. (Decimal Point)

The place value of 3 = 3 * 1/10 = 3/10 = 0.3

The place value of 4 = 4 * 1/100 = 4/100 = 0.04

Answer:

60°.

Step-by-step explanation:

1. DB is diametre, then

2. m∠BCD=90°, then

3. m∠BDC=m∠BCD-m∠CBD=90-60=30°, then

4. finally, Arc(CB)=2*m∠BDC=60°.

The remaining area of the flag is 383 ft²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangular flag is 24 ft long and 18 ft wide. If a triangle is cut out of the center of the flag that has a base of 7ft and a height of 14ft, we need to find the remaining area of the flag,

To find the remaining area of the flag, we will subtract the area of triangle from the area of rectangle,

Area of a rectangle = length × width

Area of a triangle = 1/2 × base × height

Therefore,

The remaining area = 24 × 18 - 1/2 × 7 × 14

= 432 - 49

= 383 ft²

Hence, the remaining area of the flag is 383 ft²

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Answer:

below

Step-by-step explanation:

In a cubic yard there are 3 x 3 x 3 = 27 ft^3

540 ft^3 /  27 ft^3/yd^3 = 20 yd^3

Answer:

Step-by-step explanation:

answer is 4x^5y²   answer choice b

solution 12 ÷ 3 = 4

to divide x^6 by x - subtract 6 - 1 (power of x = 1) this equals 5

and y^4 divided by y^2 = y^4-2 = y²

The confidence interval is (0.7414,0.7786) and the margin of error is 0.0186.

From the given data n=2025

[tex]\tilde{p}[/tex]=76%=0.76

Confidence Level =0.95

The sample proportion is a random variable: it varies from sample to sample in a way that cannot be predicted with certainty. Viewed as a random variable it will be written [tex]\tilde{p}[/tex].

[tex]$\widehat{p}=\frac{x}{n}$[/tex]  (Sample Proportion)

[tex]$E=Z_{\alpha / 2} \times \sqrt{\frac{\rho(1-\bar{p})}{n}}$[/tex](Margin of Error)

[tex]$(\widehat{p}-E, \widehat{p}+E)$[/tex] (Confidence Interval)

Random Selection: This is satisfied as US adults are selected randomly.

- Less than 10% population: Adults are less than 10% of US adults. This condition is satisfied.

The [tex]$$n \bar{p}$[/tex] and [tex]$n(1-\tilde{p})$[/tex] must be[tex]$\geq 10$[/tex] : Here [tex]$n \widehat{p}[/tex]=2025×0.76=1539 [tex]\geq 10$[/tex]and [tex]$n(1-\hat{p})[/tex]=2025×(1-0.76) =486 [tex]\geq 10$[/tex] which is met. This condition is also satisfied.

All conditions are met.

Calculation

Confidence level is 0.95

Level of significance is a=0.05

[tex]$\mathrm{Z}_{\mathrm{c}}=\mathrm{Z}_{\mathrm{a} / 2}$[/tex] critical value=1.96

Margin of error is

[tex]$$E=1.96 \times \sqrt{\frac{0.76(1-0.76)}{2025}}$$[/tex]

Confidence interval is (0.76-0.0186,0.76+0.0186)

=(0.7414,0.7786)

E=0.0186

Therefore, the confidence interval is (0.7414,0.7786) and Margin of error is 0.0186

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Answer:

[tex]B) 1\dfrac{5}{6}[/tex]

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]2\dfrac{3}{4}=\dfrac{11}{4}\\\\\\1\dfrac{1}{2}=\dfrac{3}{2}[/tex]

      Use KCF method

                     [tex]\sf \dfrac{11}{4} \ \div \ \dfrac{3}{2}=\dfrac{11}{4}*\dfrac{2}{3}[/tex]

                                   [tex]\sf =\dfrac{11}{2*3}\\\\\\=\dfrac{11}{6}\\\\=1\dfrac{5}{6}[/tex]

The songs played in movie is 4 and that of in commercial is 6

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, Ariana earns $30 every time one of her songs is played in a

commercial and she will earn $110 every time one of her songs is played in a movie. She in total earned $620 and in total 10 songs are played,

Let the songs played in movie be x and that of in commercial be y,

Therefore, establishing a system of equations to determine the number of commercials and the number of movies on which her songs were played.

x + y = 10

x = 10-y.....(i)

110x + 30y = 620......(ii)

Put eq(i) in eq(ii)

110(10-y) + 30y = 620

1100 - 110y + 30y = 620

80y = 480

y = 6

Put y = 6 in eq(i)

x = 10-6

x = 4

Hence, the songs played in movie is 4 and that of in commercial is 6

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The solution of the given differential initial value problem is

y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6).

Given is the initial value problem -

y''' + 10y'' + 25y' = 0

We can write the -

[tex]$25 \frac{d}{d x} y{\left(x \right)} + 10 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 0$[/tex]

The given differential equation can be solved and written as -

y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6)

Therefore, the solution of the given differential initial value problem is

y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6).

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Answer:

26 is the distance

Step-by-step explanation:

-16 to 10 has a distance of 26

The answer choice which best represents the positive exponential growth as required from the task content is; y=2(8/5)^x.

As evident from the standard form equation of exponential relations; we have that;

y = a (b)^x.

By convention, an exponential growth factor is one is which case, the multiplying factor, b is greater than 1.

On this notes the answer choice which represents a positive exponential growth as required is; y=2(8/5)^x.

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The Multiplicative inverse of 1/16 ÷ 1/81 +-1/8​ is 16/79

1/16 ÷ 1/81   +    -1/8

1/16 ÷ 1/81   = 81/16

+    -1/8  = - 1/8

81/16  - 1/8

Then,

= 81/16  - 2/16

= (81 - 2)/16

= 79/16

Multiplicative inverse = 16/79

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If  i just graduated from school with $25,000 worth of debt. The monthly payment if you were able to finance it over 7 years at 6% is: $359.44.

Using the loan payment formula to find the monthly payment

Payment = Loan Amount× (Interest Rate / 12) / (1 - (1 + (Interest Rate / 12))^- (Number of Payments))

Plugging in the values:

Payment = $25,000× (0.06 / 12) / (1 - (1 + (0.06 / 12))^- (12 × 7))

Payment = $359.44

Therefore the monthly payment is $359.44.

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Answer:

1/216

Step-by-step explanation:

(1/6)^3 is equal to 1/6 x 1/6 x 1/6 which is equal to 1x1x1/6x6x6.

You can simplify that, 1x1x1=1 and 6x6=36 and 36x6 is 216.

Therefore, the answer is 1/216.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(\dfrac{1}{6})^3}[/tex]

[tex]\mathsf{= \dfrac{1}{6}\times\dfrac{1}{6}\times\dfrac{1}{6}}[/tex]

[tex]\mathsf{= \dfrac{1\times1\times1}{6\times6\times6}}[/tex]

[tex]\mathsf{= \dfrac{1\times1}{36\times6}}[/tex]

[tex]\mathsf{= \dfrac{1}{216}}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{216}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The first quartile of the final scores of an algebra class of 20 students is 65.5.

Given, the final scores of an algebra class of 20 students in a high school: 79 74 42 88 81 64 98 78 85 53 77 66 76 52 80 60 77 90 86 77.

We know that Q1 means the first quartile is called the .25 quartile and for n data points, there will be p quantiles which will occur at the position 1+(n−1)p ( p represents the quartile)

Here the sorted data is

42  52  53  60  64  66  74  76  77  77  77  78  79  80  81  85  86  88  90  98

Q1 position = 1+(n-1)p  = 1+(20-1)(0.25) = 5.75

This is 3/4 of the way between the 5th and 6th number which is

= 64 + .75*(66-64)

= 65.5

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The equivalent of a 16-bit color value of 10,000 as a 24-bit color value would be 65280.

Explanation:

The 16-bit color value of 10,000 is represented by the number 10000 in decimal.

24-bit color uses 8 bits for each of the three color channels (red, green, and blue),

So, to convert a 16-bit color value to its equivalent 24-bit value, you would add leading zeros to fill out the remaining 8 bits in each color channel.

so in this case 10000 in binary is 10011100010000

so to convert it to 24 bit we add leading zeroes

00010011100010000

So the equivalent 24 bit color value is 65280.

Answer:

Below

Step-by-step explanation:

10 000 is the 10001 th    color out of 65536 possible colors

           (because '0' is a color)

10 001 is to 65 536   as 'x' is to 16 777 216

10 001 / 65 536  = x / 16 777 216

x = 2, 560,256   in 24 bit scheme