In Exercises 1 and 2, find m/1 and m<2
1.

Answer: 320x + 256

Step-by-step explanation:

An integer that represent the debt of $10 can be express below

An integer that represent 6 degree below 0 is expressed below

An integer that represent a deposit of $25 can be express below

Since y varies directly with x then

So,

Then, 1/4 is the constant of proportionality. So that,

Answer:

p=12.3

Step-by-step explanation:

-1.5-9p= -6p+35.4

36.9=3p

p=12.3

Answer:

Explanation: We have been given a fraction 7/8 and we need to divide it by 6 and write it in simplest terms.

Dividing and simplifying gives us following:

Answer:

35 participants for A

22 participants traveled more than 14 km for B.

Step-by-step explanation:

We have that in Tom's survey he obtained that 20% of the students like the yellow color (see graph above).

Then, in Candance's (small) survey, she asked 15 friends. According to Tom's survey, Candance should have obtained that 20% of her friends like the yellow color.

Therefore, we need to find 20% of 15 (friends) to find the expected number of friends that Candance should have had using the results of Tom's survey. Then, we have:

Hence, according to Tom's survey, Candance's friends would have been expected to be 3 to choose (of her 15 friends) yellow (3 is 20% of 15).

The roots of the equation is 1 and 3.28

The given equation is a quadratic

To find the roots of a quadratic equation, the formula is

[tex]\frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]

The equation is 101x^2+231x-334=-2  we need to find the A,B,C

101x^2+231x-332 = 0

here a is 101, b is 231, and c is -332

[tex]\frac{-b + \sqrt{b^{2} - 4ac } }{2a}\\\frac{-231 + \sqrt{231^{2} - 4(101)(-332) } }{2(101)}\\\frac{-231 + \sqrt{53361 + 134128 } }{202}\\\frac{-231 + \sqrt{187489 } }{202}\\\\\frac{-231 + \sqrt{187489 } }{202}\\\\\frac{-231 + 433 }{202}\\\\=\frac{202}{202}\\\\ 1[/tex]

[tex]\frac{-b - \sqrt{b^{2} - 4ac } }{2a}\\\frac{-231 - \sqrt{231^{2} - 4(101)(-332) } }{2(101)}\\\frac{-231 - \sqrt{53361 + 134128 } }{202}\\\frac{-231 - \sqrt{187489 } }{202}\\\\\frac{-231 - \sqrt{187489 } }{202}\\\\\frac{-231 -433 }{202}\\\\=\frac{664}{202}\\\\ 3.28[/tex]

Therefore, the roots of the equation is 1 and 3.28

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[tex]=-10x^4-4x^3+6x^2[/tex]

The probability the friend finds no one in the first spot is 60%.

Probability is the chance or likelihood that an expected event occurs when there are many possible outcomes or events.

For instance, the probability that when the counting friend goes to the hiding spot, they can or cannot find a friend there.

The two friends can only hide in 2 spots, leaving 3 spots with nobody.

The number of hiding spots = 5

The number of friends hiding = 2

The number of counting friends = 1

The number of spots they can hide = 2 out of 5

The probability of finding a person in a hiding spot = 2/5 or 40%

The probability of not finding a person in a hiding spot = 3/5 (1 - 2/5) or 60% (1 - 40%).

The chances that your friend finds anyone in the first spot are 60%.

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Answer: She already got rid of two red pens, so there's one red pen left.

5-1=4-1=3. 1 red 1 blue 1 green. 100/3=33.3333333… so her chance of getting another red pen is 33.3333333333333333333333% and a 66.66666666666666666666% chance of not.

Step-by-step explanation

The number of outcomes that do not show c is calculated to be 9 if each spinner is spun once.

The three possible outcomes of the first spinner are 1,2 and 4 and the possible outcomes of the second spinner are a,b,c and d; so if the two spinners are spun together, the possible outcome will be:

a1, a2, a4

b1, b2, b4

c1, c2, c4

d1, d2, d4

Therefore, there are a total of 12 possible outcomes, and 3 out of these possible outcomes show c. Now the outcomes that do not show c can be calculated by subtraction as follows;

Outcome not showing c = Total outcomes - Outcomes showing c

Outcome not showing c = 12 - 3

Outcome not showing c = 9

Therefore, 9 outcomes do not show c if each spinner is spun once.

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Answer: 6

Step-by-step explanation:

Answer:

y = (1/4)x - 5

Step-by-step explanation:

We'll look for an equation having the form y=mx+b, where m is the slope and b is the y-intercept, the value of y when x=0.

We are told the slope, m, is (1/4):

  y = (1/4)x+ b

We need to find a value of b such that it forces the line to go through point (8,-3).  Enter that point in the equation:

  y = (1/4)x + b

  -3 = (1/4)(8) + b    for (8,-3)

   -3 = 2 + b

b = -5

The equation is y = (1/4)x - 5

See attached graph.

Step-by-step explanation:

The slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of 3/4 is y = (3/4)x - 31/4.

What is the slope-intercept form?

The slope-intercept form of a line is y=mx + c.

Where, x and y are coordinates. m = slope and c = y intercept.

Given, slope (m) = 3/4

Substituting the values of (x, y) as (5, -4) and m = 3/4, we get:

-4 = (3/4) × 5 + c

⇒ c = -4 - (3/4) × 5 = -4 - 15/4 = -31/4

Now, putting the value of c in the standard equation:

y = (3/4)x - 31/4

⇒ 4y = 3x - 31

⇒ 3x - 4y = 31

Answer is Option C

The point R represents the number -2.5 on the number line

From the question, we understand that the point R is halfway between the integers on the number line

This means that

Point R = 1/2 * (a + b)

Where variables a and b represent the boundaries of the integers

In this case, we have

a =-2

b = -3

Substitute a =-2 and b = -3 in the equation Point R = 1/2 * (a + b)

So, we have

Point R = 1/2 * (-2 - 3)

Evaluate the difference

Point R = 1/2 * -5

Evaluate the product

Point R = -2.5

Hence, the location of R on the number line is  -2.5

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We have:

And want to find f(8), for this we simply replace x with 8 and operate:

Answer:

31 ≤ x

Step-by-step explanation:

22 ≤ x - 9;

22 + 9 ≤ x - 9 + 9;

31 ≤ x

Answer:

x=5,−5

Step-by-step explanation:

The scale of a topographical map is 1:50000. This means that 1 cm on the map is 50 000 cm on reality.

Now, we can take the

The student needs a minimum score of 956 to stay in the top 15% of the normal distribution.

Normal distributions are fundamental to statistics because they are widely used in the social and natural sciences to represent real-valued regressors with uncertain distributions.

Now top 15%

Therefore P=0.15

P(X<x) = 1 -0.15 = 0.85

Z-score = 1.04

Now we know that

z=(x-μ)/σ

Solving we get :

1.04 = (x - 800)/150

or, x = 956

hence the minimum score is 956.

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The length of the guy wire, to the nearest foot is 1548 ft.

The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized

After sketching the information given, we have two similar right triangles, ΔABE and ΔCDE.

CD = 6 ft

DE = 1 ft

BD = 12 ft

Since ΔABE ~ ΔCDE, therefore,

AB/CD = BE/DE (proportional sides)

Plug in the values

AB/6 = (12 + 1)/2

AB/6 = 13/2

Cross multiply

AB = 13(3)

AB = 39 ft

AE = √(AB² + BE²)

AE = √(39² + 12²)

AE = 1548 ft (nearest foot)

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Answer: The length of the guy wire, to the nearest foot is 1548 ft.

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its the 3rd one

The mean value of expected value for a binomial distribution is given by the next formula:

Where n is the number of trials and p is the probability of success. So, using the given data:

So the expected value or mean is 48

This is given point in the fourth quadrant.

In this point, the adjacent is

The opposite is y.

Find hypotenuse h using the pythagorean theorem:

is equal to hypotenuse by adjacent.

is equal to adjacent by opposite.

In the fourth quadrant,

is positive , and

is negative.

So,

Answer:

A would be the correct answer because to find a function when you draw a line on the graph, the line cannot cross each other. Even if the line is verticle, it is still crossing each other.

Step-by-step explanation:

SOLUTION:

Step 1:

In this question, we are given the following:

Consider this system of equations:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The values of x that are the solutions to the system of equations are:

The amount of money that Susie makes for 7 working days will be;

⇒ $314.3

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Susie has a part-time job at the video store and she makes between $41.89 and $47.91 a day.

Now,

The amount of money for a day = ($41.89 + $47.91) / 2

The amount of money for a day = $89.8 / 2

The amount of money for a day = $44.9

Thus, The amount of money that Susie makes for 7 working days is;

= 7  x $44.9

= $314.3

Hence,

The amount of money that Susie makes for 7 working days will be;

⇒ $314.3

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The relationship between the graph of f(h) and graph of g(h)

A graph is a pictorial representation of information

The difference in the two graphs is the part of the non refundable deposit which will affect the intercept.

In f(h) = 8h + 10, the non refundable deposit 10 and the increment is 15%

The increment is solved below

solving the percentage increased

15% of $10 = 0.15 * 10 = $1.5

adding to the initial deposit

10 + 1.5 = 11.5

g(h) = 8h + 11.5

The graph of g(h) will have same slope as graph of f(h) which is 8

The y intercept of the graph if g(h) will be 11.5 while that of the graph of f(h) is 10

both graphs will form parallel lines

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Answer:

100 is perfect square

Step-by-step explanation:

in x² =100, we have x×x=100 and x could be ±10 since both 10² and (-10)² is equal to 100