Solve by the substitution method.

-3x – 3y = 3

y=-5x – 17

Answer:

the 3rd one and the last one

Step-by-step explanation:

functions can't have the same y coordinate.

To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest

I = P * r * t.

I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,

Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.

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Answer:

the answer is y= -3/4 x-3 i do believe

The analysis  on the above students will be Positive analysis on 50% tax reduction cause 12 % smoking reduction in teenagers ,Normative analysis federal government should spend more on AIDS research ,Positive analysis on Rising paper prices will increase textbook prices and Normative analysis on coffee at Starbucks is too high.

Positive analysis is a way of analyzing things that rely on the facts that are available, such as observable behaviors. The aforementioned statement is an example of positive analysis because it contains a cause-and-effect connection.b.

Normative analysis is an analysis based on opinions or values.

Positive analysis is an analysis based on facts, while normative analysis is an analysis based on opinions, which statement represents positive analysis and which represents normative analysis, based on the following statements are explained below:

a. A 50-cent-per-pack tax on cigarettes will lead to a 12 percent reduction in smoking by teenagers: Positive analysis

b. The federal government should spend more on AIDS research: Normative analysis

c. Rising paper prices will increase textbook prices: Positive analysis

d. The price of coffee at Starbucks is too high: Normative analysis

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The Reagan doctrine of American activism in the Third World was most particularly exercised in Nicaragua and Grenada. These countries became focal points of U.S. involvement and intervention.

The Reagan doctrine, implemented during the presidency of Ronald Reagan in the 1980s, aimed to counter Soviet influence and promote American interests in the Third World. This doctrine was characterized by a strong anti-communist stance and support for anti-communist governments and movements. Among the various countries where the Reagan doctrine was applied, Nicaragua and Grenada stand out as prime examples.

In Nicaragua, the Reagan administration actively supported the Contras, a rebel group fighting against the Sandinista government. The Contras were seen as a counterforce to the left-wing Sandinistas, who were aligned with the Soviet Union and Cuba. The United States provided financial and military assistance to the Contras, including covert operations, in an effort to undermine the Sandinista regime.

Grenada, a small island nation in the Caribbean, also witnessed American intervention under the Reagan doctrine. The United States launched Operation Urgent Fury, invading Grenada and overthrowing the government, with the stated objective of protecting American citizens and restoring democracy.

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Answer:

\(\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}\)

Step-by-step explanation:

( 1 ) 11/3

\(\displaystyle \large{\frac{11}{3}}\) can be converted to mixed fractions to \(\displaystyle \large{3\frac{2}{3}}\)

Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.

( 2 ) √20

\(\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}\)

We know that \(\displaystyle \large{\sqrt{4}=2}\) so \(\displaystyle \large{\sqrt{5} > \sqrt{4}}\) which means approximately, \(\displaystyle \large{\sqrt{20}}\) can be either at least 4.3 up to 4.4

( 3 ) √17

We know that \(\displaystyle \large{\sqrt{16} = 4}\) so \(\displaystyle \large{\sqrt{17}}\) can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since \(\displaystyle \large{\sqrt{a} > \sqrt{b}}\) for a > b

Hence, from least to greatest:

\(\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}\)

Answer:

15

Step-by-step explanation:

15-12+4(3)

15-12+12

3+12

15

Answer:

-13°

Step-by-step explanation:

Start at 15°

Subtract 33° -----> 15-33= -18°

It has warmed up by 5° (+5) -----> -18+5= -13°

Answer: B

Step-by-step explanation:

Based on the graph, we know that it is increasing if it is going up from left to right.

A: incorrect

Looking at choice A, it says the interval is from -5<x<-4. This means we have to find x=-5 and x=-4. On the graph, that interval is going down from left to right, so it is decreasing.

B: correct

Looking at choice B, it says the interval is from -2<x<2. This means we have to find x=-2 and x=2. On the graph, that interval is going up from left to right, so it is increasing.

C: incorrect

Looking at choice C, it says the interval is from 3<x<4. This means we have to find x=3 and x=4. On the graph, that interval is going down from left to right, so it is decreasing.

Therefore, B is the correct answer.

To find the probability of selecting a blue ball first and a yellow ball second (with replacement) from a box containing 3 red balls, 5 yellow balls, and 2 blue balls.

The probability of selecting a blue ball on the first draw is 2/10, as there are 2 blue balls out of a total of 10 balls in the box.

Since we are replacing the ball after each draw, the probability of selecting a yellow ball on the second draw is also 5/10, as there are still 5 yellow balls remaining in the box.

To find the probability of both events occurring, we multiply the probabilities together:

Probability of selecting a blue ball first = 2/10

Probability of selecting a yellow ball second = 5/10

Probability of both events occurring = (2/10) * (5/10) = 1/10

Therefore, the probability of selecting a blue ball first and a yellow ball second (with replacement) from the given box is 1/10.

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Using it's concept, the rate of change between point C and point D is of 2.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

\(r = \frac{f(b) - f(a)}{b - a}\)

Considering the points of the given linear function, we have that:

Hence the rate of change between point C and point D is given by:

r = (4 - 2)/(2 - 1) = 2.

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Answer:

12 steps.

Step-by-step explanation:

6 / (1/2)

= 12 steps

Hope this helped!

Answer:

12 steps for this problem.

Step-by-step explanation:

We have been given that Judi is making a rope ladder. She uses 1/2 yard of rope for each step.

Since Judi makes each step of ladder with 1/2 yard of rope, so one yard of rope will make two steps.

Therefore, Judi can make 12 steps of ladder from 6 yards of rope.

Answer: x = 10

Step-by-step explanation:

Riboflavin is similar to thiamin in that option d: both riboflavin and thiamin serve as coenzymes in energy metabolism.

Riboflavin is similar to thiamin in that both serve as coenzymes in energy metabolism. Coenzymes are molecules that assist enzymes in carrying out their biological functions. In the case of riboflavin and thiamin, they play vital roles in the conversion of carbohydrates, fats, and proteins into usable energy for the body.

Riboflavin, also known as vitamin B2, is an essential nutrient found in various foods such as dairy products, meat, eggs, and leafy green vegetables. It is a water-soluble vitamin, meaning it dissolves in water and is not stored in the body to a significant extent. Therefore, it needs to be regularly replenished through the diet.

Thiamin, also called vitamin B1, is another water-soluble vitamin that plays a crucial role in energy metabolism. It is involved in converting glucose into energy and is found in foods like whole grains, legumes, nuts, and seeds.

Both riboflavin and thiamin work as coenzymes by participating in specific enzymatic reactions. They assist enzymes in catalyzing chemical reactions necessary for energy production. Riboflavin, in the form of its coenzyme derivatives flavin adenine dinucleotide (FAD) and flavin mononucleotide (FMN), acts as a carrier of hydrogen atoms in metabolic reactions. Thiamin, on the other hand, is converted into its active form, thiamin pyrophosphate (TPP), which plays a crucial role in the metabolism of carbohydrates.

Now, let's address the options mentioned in the question to understand how riboflavin is similar to thiamin:

a. both are easily destroyed by heat: While it is true that riboflavin and thiamin can be degraded by heat, riboflavin is more sensitive to heat than thiamin. Riboflavin is easily destroyed when exposed to high temperatures, such as during cooking or food processing. Thiamin, although also susceptible to heat, is relatively more stable.

b. both are easily destroyed by ultraviolet light: This statement is incorrect. Riboflavin is indeed sensitive to ultraviolet (UV) light, which is why it is often stored in opaque containers to protect it from light exposure. However, thiamin is not particularly affected by UV light.

c. though rare, both can be toxic when consumed in high amounts: While excessive intake of any nutrient can potentially be harmful, toxicity from riboflavin and thiamin is rare. These vitamins are considered safe for consumption in recommended amounts, and any excess is typically excreted in the urine.

d. both serve as coenzymes in energy metabolism: This statement is correct, as explained earlier. Both riboflavin and thiamin are essential coenzymes involved in energy metabolism.

e. both are found in abundant amounts in pork: While pork is a source of several nutrients, neither riboflavin nor thiamin is found in exceptionally high amounts in pork. Riboflavin is more commonly found in dairy products, while thiamin is abundant in whole grains and legumes.

In summary, the correct answer is option d: both riboflavin and thiamin serve as coenzymes in energy metabolism. They play important roles in converting food into energy and are essential for overall health and well-being.

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Internal validity explains the association between binge-watching tv and irritability.

In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.

The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).

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Answer:

For sample size n = 39 ; P(X < 31.6) = 0.9756

For sample size n = 76 ; P(X < 31.6) = 0.9970

Step-by-step explanation:

Given that:

population mean μ = 31

standard deviation σ = 1.9

sample mean  \(\overline X\) = 31.6

Sample size n                 Probability

39

76

The probabilities that the sample mean is less than 31.6 for both sample size can be computed as  follows:

For sample size n = 39

\(P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})\)

\(P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})\)

\(P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})\)

\(P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{6.245}})\)

\(P(X < 31.6) = P(Z< 1.972)\)

From standard normal  tables

P(X < 31.6) = 0.9756

For sample size n = 76

\(P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})\)

\(P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})\)

\(P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})\)

\(P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{8.718}})\)

\(P(X < 31.6) = P(Z< 2.75)\)

From standard normal  tables

P(X < 31.6) = 0.9970

The angle measurement between the hands of the clock is 270 degrees. At 9:00, the hour hand points directly to the 9 and the minute hand points directly to the 12.

We know that the hour hand moves 360 degrees in 12 hours (or 30 degrees per hour), and the minute hand moves 360 degrees in 60 minutes (or 6 degrees per minute).

To calculate the angle between the hands, we can use the formula:

angle = |30h - 11m/2|

where h is the hour (9 in this case) and m is the minute (0 in this case). Substituting these values into the formula, we get:

angle = |30(9) - 11(0)/2|

= |270|

= 270

Therefore, the angle between the hands of the clock is 270 degrees.

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Answer:

what are you talkin bout fam? you speakin gibberish rn

Step-by-step explanation:

Did you just say you were stuck step-sis?

Answer:

it is 6,000 diffrence

Step-by-step explanation:

Given:

Aim:

We need to graph the given function.

Explanation:

Replace x =-4 in the given equation.

We get the point (-4, 4).

Replace x = 0 in the given equation.

We get the point (0,1).

Replace x =4 in the equation.

We get the point ( 4, -2).

Mark the points (-4, 4), (0,1), and ( 4, -2) on the graph and join them by ray.

Final answer:

The graph of the given eqaution:

Answer:

Daniel can go on 22 rides.

Step-by-step explanation:

Given:

Layla buys 3.6 pounds of dried fruit.

Cost of dried fruit is $4.55 per pound.

Cost per pound is multiplied to the number of pounds we buy.

The range between a drug's effective dose and its toxic dose is called the theurapeutic index.

The therapeutic index, often known as the therapeutic ratio, is a numerical evaluation of a drug's relative safety. The amount of a therapeutic agent that has a therapeutic impact is compared to the amount that has a harmful effect.

A range of doses calibrated between efficacy and toxicity, achieving the maximum therapeutic benefit without producing intolerable side-effects or toxicity, is referred to as the therapeutic window or safety window.

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Answer:

2027 and 2029

Step-by-step explanation:

am not sure if this is what you meant

the prime numbers in the decade from 2021 to 2030 are: 2023, 2027, and 2029.

To find all the prime numbers in the decade from 2021 to 2030, we need to check each number in this range and determine if it is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Let's examine each number in the range from 2021 to 2030:

2021: Not a prime number (divisible by 7 and 17)

2022: Not a prime number (divisible by 2 and 101)

2023: Prime number (divisible only by 1 and 2023)

2024: Not a prime number (divisible by 2, 4, 8, 253, 506, and 1012)

2025: Not a prime number (divisible by 5 and 405)

2026: Not a prime number (divisible by 2, 3, 11, 61, and 122)

2027: Prime number (divisible only by 1 and 2027)

2028: Not a prime number (divisible by 2, 4, 7, 14, 31, 62, 127, and 254)

2029: Prime number (divisible only by 1 and 2029)

2030: Not a prime number (divisible by 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, and 435)

In summary, the prime numbers in the decade from 2021 to 2030 are: 2023, 2027, and 2029.

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Answer:

A graph of a proportional relationship must pass through (0, 0).

Step-by-step explanation:

Each point (or pair) in a proportional relationship must share the same difference. 2

The solution to these system of inequalities is the point of intersection of the lines representing each inequality as depicted by graph C.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

First of all, we would plot a graph of the inequality y ≤ -4x - 1. Also, you should take note that the border line is solid because the inequality is (≤).

Also, the related equation is given by:

y = -4x - 1

At point (0, 0), we have:

0 ≤ 4(0) - 1

0 ≤ -1 (False).

Therefore, the lower half of the line would be shaded because the solution doesn't contain the point (0, 0).

For the second inequality, we have:

y > 3x - 1

0 > 3(0) - 1

0 > -1 (False).

In conclusion, the solution to these system of inequalities is the point of intersection of the lines on the graph representing each inequality as depicted in the image attached below.

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