The slope of the line that contains the points (-2, 10) and (3, -5) is -3. What is the y-intercept?
A. -12
B. 4
C. 7
D. 28

The graph of g and f have equal intercepts while the slope of the graph of f is 5 times larger than the slope of the graph of g

Given: f(x) = 2x-6 and g(x)=5(0.2x)-6

To compare the two graphs, we can make use of the equation of a line:

The general form of the equation of a line is y = mx + c

Where m is the slope and c is the intercept

So we will compare two the functions with the equation of a line:

Comparing f(x) = 5x-6 with y = mx + c

The slope(m) of the line = 5 and the intercept(c) = -6

Also, comparing g(x) = 5(0.2x)-6 with y = mx + c

The slope(m) of the line = 5(0.2) = 1 and the intercept(c) = -6

Since the slope of f(x) = 5 and the slope of g(x) = 1. Thus:

slope of f(x) / slope of g(x)  = 5/1 = 5

So we can say the slope of  f(x) is  5 times the slope of g(x)

Therefore, the graph of g and f have the same intercept. But the slope of f(x) is  5 times the slope of g(x)

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Answer:

  A = B = 45°

  x = 11√2

Step-by-step explanation:

The sides of the right triangle have equal lengths, so this is an isosceles right triangle. Its acute base angles are complementary and have the same measure: A = B = 45°.

You should know from memory that the hypotenuse of an isosceles right triangle is √2 times the side length, so would be x = 11√2. Even if you don't, you can figure it from the Pythagorean theorem:

  x² = 11² +11² = 11²·2

  x = 11√2 . . . . . take the square root

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

Answer:29.7

Step-by-step explanation:

30/100

9 x 3/10

90/1 x 10/3 = 90

90 divided by 30 is 30

The adult weight of Andre's puppy, in pounds is 30 pounds.

Given that, Jada has a new puppy that weighs 9 pounds.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The vet says that the puppy is now about 20% of its adult weight.

Let the adult weight of new puppy of Jada be x

20% of x=9

⇒ 0.2x=9

⇒ x=9/0.2

⇒ x=45 pounds

Andre also has a puppy that weighs 9 pounds.

Let the adult weight of new puppy of Andre be y

30% of y=9

⇒ 0.3y=9

⇒ y=9/0.3

⇒ y=30 pounds

Hence, the adult weight of Andre's puppy, in pounds is 30 pounds.

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To find the number of years it will take for the population of a city to increase from 120000 to 180000, we need to use the formula:

Years = log (target population / starting population) / log (1 + annual growth rate)

Where the annual growth rate is 2.5% or 0.025.

Plugging in the values, we get:

Years = log (180000 / 120000) / log (1 + 0.025)

Years = log (1.5) / log (1.025)

Years = 7.36 years

Rounding to the nearest tenth, we get:

Years = 7.4 years

So it will take approximately 7.4 years for the population of the city to increase from 120000 to 180000 people, assuming a constant annual growth rate of 2.5%.

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Answer:

THE dates dec. 6 1729, and june 4 1764 were the only two perfect square dates in the 18th century

Answer and explanation:

1. 9:12 or \(\frac{9}{12}\) or 9 to 12

It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.

2. 8:16 or \(\frac{8}{16}\) or 8 to 16

It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.

3. 9:10 or \(\frac{9}{10}\) or 9 to 10

It has 9 first because there are 9 lions and then 10 after because there are 10 seals.

4. 10:12 or \(\frac{10}{12}\) or 10 to 12

It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.

5. 12:9 or \(\frac{12}{9}\) or 12 to 9

It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.

6. \(\frac{8}{6}\) or \(\frac{40}{30}\) or \(\frac{16}{12}\)

I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.

7. \(\frac{6}{7}\) or \(\frac{42}{49}\) or \(\frac{60}{70}\)

I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.

8. \(\frac{2}{3}\) or \(\frac{4}{6}\) or \(\frac{20}{30}\)

I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.

9. 3:4 is equivalent to 6:8, 30:40, 12:16

I multiplied it first by 2, then by 10, then by 4.

10. 5:7 is equivalent to 10:14, 50:70, 25:35

I multiplied it first by 2, then by 10, then by 5.

11. 9:2 is equivalent to 18:4, 90:20, 27:6

I multiplied it first by 2, then by 10, then by 3.

12.

a. 48

So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.

b. 36

So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.

Hope this helped! <3

In triangle ABC, we are given that angle C is a right angle, which means it measures 90°. We also know that angle B is 36°12′, and side c has a length of 0.6209 m. Our goal is to find the measures of angle A and the lengths of sides a and b.

Using the fact that the sum of angles in a triangle is 180°, we can find angle A:

A + B + C = 180°

A = 180° - B - C = 180° - 36°12′ - 90° = 53°48′

Now, we can apply the trigonometric ratios in the right-angled triangle ABC. The ratios are defined as follows:

Sine (sin) = Opposite / Hypotenuse

Cosine (cos) = Adjacent / Hypotenuse

Tangent (tan) = Opposite / Adjacent

Using the given values, we can determine the lengths of sides a and b:

Sine ratio:

sin B = a / c

Substituting the known values, we find:

sin 36°12′ = a / 0.6209

a = 0.6209 x sin 36°12′ = 0.3774 m

Cosine ratio:

cos B = b / c

Substituting the known values, we find:

cos 36°12′ = b / 0.6209

b = 0.6209 x cos 36°12′ = 0.5039 m

Tangent ratio:

tan B = a / b

Substituting the values of a and b, we find:

tan 36°12′ = 0.3774 / 0.5039 = 0.7499

Therefore, the lengths of sides a and b are approximately 0.3774 m and 0.5039 m, respectively. Angle A measures 53°48′, angle B measures 36°12′, and angle C is the right angle.

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The scenario presented in the question will be similar to the Prisoner's Dilemma when A and B have to make a decision together, and the decision of each player will affect both of them, but they cannot communicate during the decision-making process.

This is because in the Prisoner's Dilemma, two suspects are taken into custody and cannot communicate with each other.Both A and B in this scenario have two choices: to plant or not to plant. The payoff matrix for this scenario is: Payoff Matrix for the given scenario-If A plants flowers, and B does not: A gets 25, and B gets 45. If B plants flowers, and A does not: B gets 25, and A gets 45. If both A and B plant flowers: A gets 25, and B gets 25.

If neither A nor B plant flowers: A gets 0, and B gets 0. In this scenario, if both A and B plant flowers, they will receive a payoff of 25 each, which is the maximum. However, if only one person plants flowers, that person will receive a payoff of -10, which is less than if both of them did not plant.

The best outcome for both A and B would be to not plant flowers. This is a classical example of the Prisoner's Dilemma, as both players must make a decision without knowing what the other will do, and the outcome of their decision depends on the other player's decision.

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Answer: Just try

Step-by-step explanation:

You can do this just try your best!

Answer:

10c + 12

Step-by-step explanation:

I believe that is the answer please let me know if I am wrong

Where the above conditions are given in the equation,  x is 45.

Given equations are  -

m∠PQR = x + 7 ,

m∠SQR = x + 3 ,

and m PQR + m SQR = m PQS = 100

using those equations we need to find value of x.

Plug value of (m PQR = x + 7) and (m SQR = x + 3 ) into (m PQR + m SQR = m PQS = 100 )

(x+7) + ( x+3) = m PQS = 100

(x+7) + (x +3) = 100

Remove parenthesis

x+7 + x+3 = 100

Rearrange terms

x + x +3+7 = 100

Combine like terms

2x+10 = 100

2x= 100 - 10

2x=90

x=90/2

x=45

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Full Question:

Although part of your question is missing, you might be referring to this full question:

What is the value of x? Identify the missing justifications. M PQR = x + 7 , m SQR = x + 3 , and m PQR + m SQR = m PQS = 100

Right to education campaigns vary in accessibility to different groups in societies. While efforts are made to reach diverse populations, certain factors such as socio-economic status, gender, disability, and geographic location can pose barriers to accessing educational opportunities.

Right to education campaigns strive to ensure that every individual, regardless of their background, has equal access to quality education. However, the accessibility of these campaigns can be influenced by various factors. Socio-economic status often plays a significant role, as individuals from lower-income families may face financial constraints that hinder their ability to access educational resources and opportunities. Similarly, marginalized groups such as girls, ethnic minorities, and individuals with disabilities may encounter additional challenges due to social and cultural barriers, discriminatory practices, and lack of inclusive educational environments.

Geographic location also plays a crucial role in accessibility. Rural and remote areas often have limited infrastructure and resources, making it difficult for individuals living in these regions to access education. Lack of transportation facilities and inadequate school infrastructure further compound the problem. Additionally, armed conflicts, political instability, and natural disasters can disrupt educational systems, making it even more challenging for certain groups to participate in right to education campaigns.

Efforts are made by governments, non-governmental organizations, and international bodies to address these barriers and make right to education campaigns more accessible. Strategies include providing scholarships, building schools in underserved areas, implementing inclusive policies, promoting gender equality, and advocating for the rights of individuals with disabilities. However, sustained commitment and collaboration are required to overcome the existing disparities and ensure equal access to education for all members of society

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Step-by-step explanation:

15 x 3 = 45

13 x 3 = 39

So

45 ÷ 3 = 15

39 ÷ 3 = 13

36 ÷ 3 = 12

X=12

Answer:

Y=0

Step-by-step explanation:

The x axis is the same making the line a horizontal line. A horizontal line has a slope of 0

In question 16, a 98% confidence interval was computed based on a sample of 41 Veterans' Day celebrations. If the confidence level were decreased to 90%, the margin of error would decrease, and the width of the confidence interval would also decrease.

This is because a lower confidence level requires a smaller range of values to be included in the interval, resulting in a narrower range of possible values. However, it's important to note that decreasing the confidence level also increases the risk of the interval not capturing the true population parameter.

1. Margin of Error: The margin of error is affected by the confidence level because it is directly related to the critical value (or Z-score) associated with the chosen confidence level. As the confidence level decreases, the critical value also decreases. This will result in a smaller margin of error.

2. Confidence Interval: The confidence interval is calculated by adding and subtracting the margin of error from the sample mean. Since the margin of error is smaller when the confidence level is decreased to 90%, the width of the confidence interval will also become narrower.

In summary, decreasing the confidence level from 98% to 90% will result in a smaller margin of error and a narrower confidence interval for the sample of 41 Veterans Day celebrations.

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Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

The net of a triangular pyramid consist of a total of 4 triangles. it has 4 faces with the base being one of them which is also in the shape of a triangle.

A net of the triangular pyramid is the pattern formed when the surface of it is laid out flat showing each triangular face of the figure, therefore we know that the net of a triangular pyramid consist of a total of 4 triangles.

Triangular pyramid  is a pyramid which has a triangular base. In geometry, vertices are essentially corners. All triangular-based pyramids, either regular or irregular, have four vertices.

It has 6 edges, 4 faces, 4 vertices.

A regular triangular pyramid has equilateral triangles all four faces

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The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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Answer:  x=55 over 6

Step-by-step explanation:

Answer:

12.5 months

Step-by-step explanation:

Let x be the number of months

Let f(n) be the money saved by person n

we know that f(J)=300+20m

we also know that f(T)=400+12m

we want f(J)=f(T) so we have 300+20m=400+12m. solving we get 8m=100 and so m=12.5. Thus in 12.5 months they will have the same amount.

Answer:

Step-by-step explanation:

Use PEMDAS

First you do the multuplication of

1/6*(-5/3)=-5/18

Next you do the addition

5+(-5/18)= 90/18-5/18= 85/18

The probability that the sample proportion of private banks will be greater than 65% is 0.1548.

Given that 60% of banks in Switzerland are private organizations.

If a sample of 469 banks is selected, we need to find the probability that the sample proportion of private banks will be greater than 65%.

Let p be the proportion of private banks in a sample of 469 banks.

Then

q = 1 - p

= 1 - 0.6

= 0.4 (as the percentage of private banks is given to be 60%)

Sample size, n = 469

We are to find the probability that the sample proportion of private banks will be greater than 65%.

That is, we need to find P(p > 0.65).

We use the normal distribution for finding probabilities associated with proportions.

We can use the formula as follows:

z = (p - P) / √[PQ/n],

where P is the population proportion (given as 0.6),

Q = 1 - P

= 0.4, and

n = 469

Putting all the given values in the above formula, we get;

z = (0.65 - 0.6) / √[0.6 × 0.4 / 469]

z = 1.0182

P(p > 0.65) = P(z > 1.0182)

Using the standard normal table, we get; P(z > 1.0182) = 0.1548

Therefore, the probability that the sample proportion of private banks will be greater than 65% is 0.1548 (rounded to four decimal places).

Hence, the answer is 0.1548.

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Answer:

C

Step-by-step explanation:

The correct answer is C

Because taking the point to be (a,b)

\(y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line\)

Answer: d(distance) = \(\sqrt13\\\)

Hope this help!