What is 2/15,1/5,3/5 in least to greatest

Answer:

X²+4x+3=0

Step-by-step explanation:

y = X² + 4x + 3

y = 0

Solution:

x = -3, x² = -1

Steps:

X² + 4x + 3 = 0

write 4x as a sum

X²+ 3x + x + 3 = 0

Factor out x from expression

X (x + 3) + x + 3 = 0

Factor out x + 3 from expression

(x + 3) x (x + 1) = 0

When the product of factors equals 0, at least one factor is 0

x + 3 = 0

x + 1 = 0

solve for x

x = -3

x + 1 = 0

solve for x

x = -3

x = -1

The final solutions are

X = -3, X² = -1

Answer:

Option A.

Step-by-step explanation:

The vertex form of a parabola is

[tex]y=a(x-h)^2+k[/tex]

where, (h,k) is vertex and a is a constant.

The vertex of the parabola is (-2,-1).

Substitute h=-2 and k=-1 in the above equation.

[tex]y=a(x-(-2))^2+(-1)[/tex]

[tex]y=a(x+2)^2-1[/tex]     .... (1)

The parabola passes through the point (0,3). So, it must be satisfy by the point (0,3).

[tex]3=a(0+2)^2-1[/tex]

[tex]3+1=4a[/tex]

[tex]a=1[/tex]

Substiturte a=1 in equation (1).

[tex]y=1(x+2)^2-1[/tex]

On simplification we get

[tex]y=x^2+4x+4-1[/tex]

[tex]y=x^2+4x+3[/tex]

It means the equation [tex]x^2+4x+3=0[/tex] could be solved using the given graph.

Therefore, the correct option is A.

Event A = rolling a 4 on a single die

Event B = rolling a number divisible by 3 (3 or 6) on a single die

There are three outcomes possible in total if either event A happens or event B happens. This is out of six outcomes total.

Divide the values and reduce: 3/6 = 1/2

Final Answer: 1/2

Answer:

-4 10/13

Step-by-step explanation:

-52-8m = 10 + 5m

-8m = 62 +5m

-13m = 62

-m = 62/13

m = - 62/13

m = -4 10/13

Answer:

Step-by-step explanation:

Start train 1 at 6 pm an train 2 at 9pm

Answer:

all work is shown and pictured

Answer:

When there is not a constant rate of change

Step-by-step explanation:

A linear model shows a continuous response variable as a function of one or more predictor variables.

A linear model is a good fit for a set of data when the plotted points show a constant rate of change.

When a plot of values form a scatter plot, it is difficult to identify a linear model because the points will not appear to follow a trend.

To come up with a linear function in this case will require you to identify the line of best fit then extending the line to y-axis intercept so as to be able to find the slope.

Let P = perimeter

P = 3x + 5

Let x = 10

P = 3(10) + 5

P = 30 + 5

P = 35

The third number to the left of the decimal is the hundreds, so you have 200.

The 2nd number to the left of  the decimal is the tens, so you have 30.

The first number to the left of the decimal is the ones, and you have 0 ones, so you have 0.

The first number to the right of the decimal is the tenths place, which is 0 so it is 0.0

The second number to the right is the hundredths place, which is 0.07

The third number is the thousandths place, which is 0.001

The expanded form becomes:

200 + 30 + 0 + 0.0 + 0.07 + 0.001

Answer:

230.071 = 200 + 30 + 0.07 + 0.001

Step-by-step explanation:

First, make the following table.  

Hundreds:      2

Tens:               3

Ones:              0

Decimal:          .  

Tenths:           0

Hundredths:   7  

Thousandths: 1

With the help of this table, now it is easy to write the expanded form as follows

230.071 = 200 + 30 + 0.07 + 0.001

Answer:

Y = 30

Step-by-step explanation:

hope this helps u out :)

Answer:

Step-by-step explanation:

f(x)= x-4/√x

f  exist for : x  >  0

so the domain is : D= ]0 ; + ∞[

If two coins are tossed simultaneously, you will have one of the possible results

[tex]HH,\ HT,\ TH,\ TT[/tex]

with probability 1/4 each.

So, you'll have at least one head if you have HH, HT or TH, i.e. with probability 3/4.

Similarly, you have at most one tail if you get HH, HT or TH, so the probability will be the same.

In fact, both claims (at least one head and at most one tail) are verified by the same set of outputs HH, TH, HT, since they're not satisfied only by the output HH.

So, if those claims are not satisfied with probability 1/4, they're satisfied with probability 3/4.

Final answer:

The probability of getting at least one head when tossing two coins is 0.75.

When two coins are tossed simultaneously, the sample space consists of the following possible outcomes: {HH, HT, TH, TT}. To find the probability of getting at least one head, we can count the favorable outcomes which include at least one head: these are HH, HT, and TH. Thus, there are 3 favorable outcomes.

The total number of possible outcomes is 4. Therefore, the probability is 3 out of 4, or
0.75.

To find the probability of getting at most one tail, we consider the favorable outcomes: these are HH, HT, and TH. Again, we can see there are 3 favorable outcomes.

Since the total number of outcomes is the same, the probability remains
0.75.

Answer:

2 Scoops

Step-by-step explanation:

1/3 plus 1/3 equals 2/3, so he would need two 1/3 scoops.

Answer:

Step-by-step explanation:

| n+2 | = 7    : n+2 = 7   or  n+2 = -7

n=5  or n = - 9

Answer:

5x10⁸

Step-by-step explanation:

Cell = 200 cubic micrometers.

Te question is, how many 200 cubic micrometers are there in a cubic centimeter. 1st, we have to convert 200 cubic centimeter into cubic centimeter:

1cm = 1x10⁴micro, which is the same to:

1x10⁻⁴ cm = 1micro

Now, we have to cube both sides, to "equal the volumes"

(1x10⁻⁴cm)³ = (1micro)³

1x10⁻¹²cm = 1micro³

Multiple both sides by 200:

200 x 1x10⁻¹²cm = 1micro³ x 200

2x10⁻¹⁰cm³ = 200micro³

Finally, 1 cubic cm / 2x10⁻¹⁰cm³ = 5x10⁸

Final answer:

Explaining the number of cells in a cubic centimeter based on the volume of a 10 μm cell.

Explanation:

For a 10 μm cell:

Calculate the volume: V = (4/3)πr³

Convert diameter to radius: r = 5 μm

Substitute and calculate volume: V = (4/3)π(5)³ = 524 μm³

Convert to cubic centimeters: 1 μm³ = 10^-9 cm³, so 524 μm³ = 5.24 x 10^-7 cm³

Calculate the number of cells in 1 cm³: 1 cm³ / 5.24 x 10^-7 cm³ = 1.91 x 10^6 cells

Answer:x= -2

Step-by-step explanation:

Answer:

20 apple pies

Step-by-step explanation:

On Saturday they sold 16, while on Sunday they sold 4 more.

16+4 = 20.

20 apple pies.

Answer:

12:8

Step-by-step explanation:

The ratio of biographies to histories is 1.5, or more simply as a whole number ratio, 3:2. This means that for every 3 biographies, there are 2 history books.

The question wants us to calculate the ratio of the number of biographies to the number of histories in the book display. To do this, simply divide the number of biographies by the number of histories. The problem provides the number of biographies as 12 and the number of histories as 8. Thus, the ratio is: 12 (biographies) / 8 (histories) = 1.5.

In other words, for every 1.5 biographies, there is 1 history book on the display. However, since ratios are commonly expressed as whole numbers, we can multiply both sides by 2 to get the ratio as 3:2, meaning for every 3 biographies, there are 2 history books. This provides a cleaner and more interpretable ratio.

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Answer:

No solution

Step-by-step explanation:

Subtract 5k from both sides

Simplify

No solution

Fraction Decimal Percentage

30/1000 0.03 3%

29/1000 0.029 2.9%

28/1000 0.028 2.8%

29/997 0.02909 2.909%

Answer:

0.029

Step-by-step explanation:

Answer:

Option A k=5

Step-by-step explanation:

step 1

Find the equation of f(x)

we have the points

(-10,-6) and (0,4)

Find the slope m

[tex]m=(4+6)/(0+10)=1[/tex]

The function in slope intercept form is equal to

[tex]f(x)=mx+b[/tex]

we have

[tex]m=1[/tex]

[tex]b=4[/tex] -----> the point (0,4) is the y-intercept

substitute

[tex]f(x)=x+4[/tex]

step 2

Find the equation of g(x)

we have the points

(-2,-6) and (0,4)

Find the slope m

[tex]m=(4+6)/(0+2)=5[/tex]

The function in slope intercept form is equal to

[tex]g(x)=mx+b[/tex]

we have

[tex]m=5[/tex]

[tex]b=4[/tex] -----> the point (0,4) is the y-intercept

substitute

[tex]g(x)=5x+4[/tex]

step 3

Find the value of k

we have

[tex]f(x)=x+4[/tex]

[tex]g(x)=5x+4[/tex] -----> equation A

[tex]g(x)=f(kx)[/tex] -----> equation B

[tex]f(kx)=kx+4[/tex] ----> equation C

substitute equation A and equation C in equation B and solve for k

[tex]kx+4=5x+4[/tex]

[tex]kx-5x=0\\kx=5x\\k=5[/tex]

The value of k in the equation g(x) = f(k*x), where g(x) and f(x) are graphs, signifies a horizontal compression, expansion, or reflection of the f(x) graph. It depends on the given graph to determine the exact value of k.

Without the graphical representation, it's difficult to provide a definite value for k. However, understanding the relationship between f(x) and g(x) can help us make an educated guess. If g(x) is a horizontal compression of f(x) by a factor of k, then k is positive and larger than 1. If g(x) is a horizontal expansion of f(x), then k is positive and less than 1. If g(x) is a reflection of f(x) across the y-axis and has a horizontal compression or expansion, then k is negative. For example, if g(x) completes one cycle in a space where f(x) would complete 5 cycles, then k is 5. If g(x) completes 5 cycles in a space where f(x) would complete one cycle, then k equals 1/5.

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Answer:

127.3

Step-by-step explanation:

Answer:

7.

Step-by-step explanation:

Let the number be n, then

7 + √5 = n + √5

As the 2 sides are equal in value, n must be 7.

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}[/tex]

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}[/tex]

AC must be the diameter of the circle.

What is Circle?

A circle is a closed two dimensional figure in which the set of all the points in the plane is equidistance from a center.

Given that;

A circle passes through points A(7, 4), B(10, 6), C(12, 3).

Now,

If AC is diameter of the circle then half the distance of AC is its radius and midpoint of AC is the center of the circle.

Since, B is also on the circle , then distance from B to the center must be same radius distance.

Midpoint of AC is calculated as;

= (7 + 12 / 2 , 4 + 3/2)

= (19/2 , 7/2)

= (9.5 , 3.5)

Now, Distance from A to the center and check the distance of B to the center as;

AM = √(9.5 - 7)² + (3.5 - 4)²

AM = 2.5495

And,

BM = √(9.5 - 7)² + (3.5 - 6)²

BM = 2.5495

So,  Distance from A to the center and the distance of B to the center is same.

Thus, AC must be the diameter of the circle.

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Answer:

4x^2 + 28x - 80=0

Step-by-step explanation:

(2x+4)(2x+10) = 120

1. Use FOIL (Distribute):

4x^2 + 20x +8x + 40 = 120

2. Group like terms:

4x^2 + 28x+ 40 = 120

3. Subtract 120 from both sides:

4x^2 + 28x - 80 = 0

Answer:

Option 3 - [tex]4x^2+28x-80=0[/tex]

Step-by-step explanation:

We have given,

The length of a rectangular frame is represented by the expression L=2x+4.

The width of the rectangular frame is represented by the expression B=2x+10.

The total area of a rectangular frame is A=120 square inches.

To find : Write an equation to solve for the width of a rectangular frame ?

Solution :

The area of the rectangle is given by,

[tex]\text{Area}=\text{Length}\times \text{Breadth}[/tex]

Substitute the values,

[tex]120=(2x+4)\times(2x+10)[/tex]

[tex]120=4x^2+20x+8x+40[/tex]

[tex]4x^2+28x+40-120=0[/tex]

[tex]4x^2+28x-80=0[/tex]

The required equation is [tex]4x^2+28x-80=0[/tex]

Therefore, option 3 is correct.

Answer:

6

Step-by-step explanation:

5*6=30

7*6=42

Hey!

---------------------

Solution:

30 / 5 = 6

42 / 7 = 6

5 x 6 = 30

7 x 6 = 42

---------------------

Answer:

Multiplier is 6!

---------------------

Hope This Helped! Good Luck!

Answer:

19 1/4 hours

Step-by-step explanation:

19 h 15 min = 19 hours + 15 minutes

                   = 19  hours + (15/60)  hours

                   = 19 + 1/4

                   = 19 1/4 hours

Answer:

Area of the rug will be 6912 square inches.

Step-by-step explanation:

Rob has purchased a rug having measurement 72 inches by 98 inches for his apartment.

Since the rug will be in the shape of a rectangle, area will be represented by the formula,

Area = Length × width

        = 72 × 96

        = 6912 square inches.

Therefore, area of the rug will be 6912 square inches.

To calculate the area of Rob's rug, multiply the length of 96 inches by the width of 72 inches, resulting in an area of 6,912 square inches. Thus, the area of the rug is 6,912 square inches.

To find the area of Rob's rug, you need to multiply the length and the width of the rug.

The formula for area is:

Area = Length × Width

Using the given dimensions:

Area = 96 inches × 72 inches = 6,912 square inches

Therefore, the area of the rug is 6,912 square inches.

Answer:  a) add n+1 to the previous term

               b) add the previous two terms

               d) subtract n+1 from the previous term

               e) multiply the previous term by 3

               f) subtract 2 from previous term then add 5 to the next term

Step-by-step explanation:

a) 1, 3, 6, 10

    ∨  ∨  ∨

  +2 +3 +4           The next term is 10 +5 = 15

b) 1, 2, 3, 5

    ∨  ∨  ∨

  =3 =5 =8        The next term is 5 + 8 = 13

d)  8, 7, 5, 2

      ∨  ∨  ∨

     -1  -2  -3             zThe next term is 2 - 4 = -2

e) 1, 3, 9, 27

     ∨  ∨  ∨

    ×3 ×3 ×3         The next term is 27 × 3 = 81

f) 49, 47, 52, 50, 55

      ∨    ∨    ∨    ∨

     -2   +5   -2   +5      The next term is 55 - 2 = 53

                                    The following term is 53 + 5 = 58

a. Add the next consecutive natural number to the previous term.

b. Divide the previous term by 2.

c. Multiply the previous term by 3.

d. Subtract the next consecutive natural number from the previous term.

e. Alternate between subtracting 2 and adding 5.

a. 1, 3, 6, 10, __, __

Pattern Description: This sequence is created by adding consecutive natural numbers to the previous term.

The next term is (10 + 5 = 15).

The term after that is (15 + 6 = 21).

So the pattern is: Add the next consecutive natural number to the previous term.

Next two terms: 15, 21

b. 1, 1/2, 1/4, 1/8, __, __

Pattern Description: This sequence is created by dividing the previous term by 2.

The next term is (1/8 / 2 = 1/16).

The term after that is (1/16 / 2 = 1/32).

So the pattern is: Divide the previous term by 2.

Next two terms: 1/16, 1/32

c. 1, 3, 9, 27, _, __

Pattern Description: This sequence is created by multiplying the previous term by 3.

The next term is (27 × 3 = 81).

The term after that is (81 × 3 = 243).

So the pattern is: Multiply the previous term by 3.

Next two terms: 81, 243

d. 8, 7, 5, 2, _, __

Pattern Description: This sequence is created by subtracting consecutive natural numbers starting from 1.

The next term is (2 - 4 = -2).

The term after that is (-2 - 5 = -7).

So the pattern is: Subtract the next consecutive natural number from the previous term.

Next two terms: -2, -7

e. 49, 47, 52, 50, 55, _, __

Pattern Description: This sequence alternates between subtracting 2 and adding 5.

The next term is (55 - 2 = 53).

The term after that is (53 + 5 = 58).

So the pattern is: Alternate between subtracting 2 and adding 5.

Next two terms: 53, 58

Complete question:

Copy and complete each sequence below. Using words, not numbers, describe how the patterns work. (For example, write, “Double the previous number.”)

a. 1, 3, 6, 10,__, __

b. 1, 1/2 1/4 1/8 , __ , __

c. 1, 3, 9, 27,__, __

d. 8, 7, 5, 2,___, __

e. 49, 47, 52, 50, 55, __, __