Which of the following shows 27⁄54 written in prime factored form to help in reducing the fraction to simplest form?

A. 1⁄2
B. 9×3 ⁄9×6
C. 27×1 ⁄27×2
D. 3×3×3⁄3×3×3×2

Answer:

c

Step-by-step explanation:

the formula is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]

When we plug that in we get [tex]\frac{-3-2}{6- (-4)} = \frac{-5}{10} = -\frac{1}{2}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

If f(x)=x²

g(x) = (3x)²

because : g(0)=0 and g(1)= (3×1)² =3 passes  through A(1;3) and O(0;0).

Answer: g(x) = 3x²

Step-by-step explanation:

Since we have given that

[tex]f(x)=x^2[/tex]

So, the function of g(x) would be

[tex]g(x)=ax^2[/tex]

since we have given that

(1,3) on g(x means (x,ax)

Here, x = 1.

So, ax = 3

which implies that a = 3.

So, g(x) would look like

[tex]g(x)=3x^2[/tex]

and the graph of g(x) is compressed.

Answer:

Step-by-step explanation:

The domain and range of these two functions are identical.

The domain is "all real numbers."

The range is also "all real numbers."

Answer:

Domain of both given functions is the set of real numbers.

Range of both given functions is the set of real numbers.

Step-by-step explanation:

Given functions are

f(x)=5x  

And g(x)= 5x

First, we solve for f(x)

F(x)=5x

Put x=0 then we get

f(x)=0

Now , put x=1  then we get

f(x)= [tex]5\times1=5[/tex]

Put x=2 then we get

f(x)=[tex]5\times2=10[/tex]

Therefore, we can see domain of function f(x) can be set of real numbers and range of function f(x)  can be set of real numbers .Because the function is define at every value of x.

Both function are the same

Therefore , the domain of both function is same and range of both functions is same .

Hence,  the domain of  both functions is the set of real numbers and range of both functions is the set of real numbers.

[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=&\stackrel{bases}{parallel}\\ &sides\\ h=&height\\ \cline{1-2} a=&2\\ b=&6\\ A=&24 \end{cases}\implies 24=\cfrac{h(2+6)}{2}\implies 24=\cfrac{h(8)}{2} \\\\\\ 24=4h\implies \cfrac{24}{4}=h\implies 6=h[/tex]

The correct answer is D

Answer:

#2

Step-by-step explanation:

Step functions are functions (meaning that the x-values do not match with a y-value more than once) that increase or decrease at the same time. #1 is another type of piecewise function, while #3 is a choice to fool you.

Hope I helped and please give me brainliest!

Answer:

2

Step-by-step explanation:

The slope of a line perpendicular to another is the negative reciprocal of the other line.

In this case, the slope of this line is just 0. It'll be better to think of it as instead of 0, something like 0/1, or 0/2, which are equivalent to 0 but work better with the explanation. I'm just going to use 0/1

Therefore, when you take the negative reciprocal of the slope of 0/1, then you end up with -1/0 as the slope of line n. When you divide by 0, the answer is always undefined. Therefore, the line has an undefined slope.

Another way to think about this is by thinking of Line m as a horizontal line. A line with a slope of 0 is just a horizontal line. Perpendicular lines are lines that meet at 90 degree angles. Therefore, the line that would meet with line m, line n, would be a vertical line. And since vertical lines have an undefined slope, line n would have an undefined slope.

Hope this helped!

Answer:

The measure of angle x is [tex]64.4\°[/tex]

Step-by-step explanation:

To find the measure of angle X, apply the law of cosines

The law of cosines states that

[tex]c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)[/tex]

In  this problem we have

[tex]a=19\ cm[/tex]

[tex]b=25\ cm[/tex]

[tex]c=24\ cm[/tex]

[tex]C=x\°[/tex]

substitute

[tex]24^{2}=19^{2}+25^{2}-2(19)(25)cos(C)[/tex]

[tex]576=986-950cos(C)[/tex]

[tex]cos(C)=(986-576)/950[/tex]

[tex]C=arccos[(986-576)/950]=64.4\°[/tex]

Therefore

The measure of angle x is [tex]64.4\°[/tex]

Answer:

360°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 4, hence

sum of interior angles = 180° × 2 = 360°

Answer:  [tex]h=8[/tex]

Step-by-step explanation:

To find the value of "h" you need to:

Remember the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]

Distribute the positive sign that is outside the parentheses to  eliminate the parentheses:

[tex]4h + 9 = 3 -h + 46[/tex]

Add like terms on the righ side of the equation:

 [tex]4h + 9 = -h + 49[/tex]

Add h to both sides:

[tex]4h + 9+h = -h + 49+h[/tex]

[tex]5h + 9 =49[/tex]

Subtract 9 from both sides:

[tex]5h + 9-9=49-9[/tex]

[tex]5h =40[/tex]

Divide both sides by 5:

[tex]\frac{5h}{5}=\frac{40}{5}\\\\h=8[/tex]

Answer:

One solution

Step-by-step explanation:

Expanding the equation, we get

-2w-12-6w=4w+12

Subtracting 4w from both sides, we get

-12w-12=12

Now adding 12 to both sides,

-12w=24

Solving for w, we get

w=-2

So there is only one solution to the equation.

Answer:

16

Step-by-step explanation:

3 times 16 is 48

hope this helps :)

Final answer:

The value that will not make the inequality 3x < 45 true is 16, as any value greater than or equal to 15 does not satisfy the inequality.

Explanation:

To determine which values will not make the inequality 3x < 45 true, we first solve the inequality for x by dividing both sides by 3.

Dividing 45 by 3 gives us:

45 / 3 = 15

So the inequality becomes:

< 15

Any value for x that is 15 or greater will not satisfy the inequality. Looking at the provided options (12, 11, 16, -8), the number 16 is the only value that is greater than 15, and hence, will not make the inequality true.

Answer:

130°

Step-by-step explanation:

to do this conversion, multiply 13π/18 by the conversion factor 180°/π rad:

                                 13 · 180°

13π/18 · 180°/π rad = ------------- = 130°

                                       18

what do you mean 2<_ 10?

If x<_10,

a) 1,2,5,10

b) 4

c) 6

Answer:

see explanation

Step-by-step explanation:

Given x ∈ { 2, 3, 4, 5, 6, 7, 8, 9, 10 }

Factors of 10 are 1, 2, 5, 10, thus

P = { 2, 5, 10 } ← 1 is not a member of the universal set

and the number of elements in P , that is n(P) = 3

The complement of P is the elements not in P but in the universal set

P' = { 3, 4, 6,7,8,9 }

Answer:

B. The mean study time of students in Class B is less than students in Class A.

Step-by-step explanation:

First step is to calculate the mean and median for both classes.

Class A: 2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5

sorted data set: 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8

total: 96

# of students: 20

Mean/average: 96 / 20 = 4.8

Median: By looking at the sorted data set, we see that the 10th value is the first 5, so median = 5

Class B: 3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6

Sorted data set: 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7

Total: 80

# students: 20

Mean/average: 80 / 20 = 4

Median: By looking at the sorted data set, we see that the 10th value is the first 4, so median = 4

So, we can see that the mean study time for group B was less than the students of class A.  Answer B.

Answer:

15

Step-by-step explanation:

Answer:

AB=BC therefore ABCD is a Rhombus

Step-by-step explanation:

we have

[tex]A(0,0), B(4,5), C(8,0), D(4,-5)[/tex]

Using a graphing tool

see the attached figure

AB=BC

The figure is a flat shape with 4 equal straight sides. All sides have equal length. Opposite sides are parallel, and opposite angles are equal

therefore

The figure is a Rhombus

Answer:

The value of y is 0.25

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

For x=5

Find the value of y

k=1.25

substitute in the equation

[tex]y=k/x[/tex] -----> [tex]y=1.25/5=0.25[/tex]

The probability of selecting a 4-digit PIN number with no repeated digits is 0.504.

The probability of selecting a 4-digit PIN number with no repeated digits can be calculated as follows:

Therefore, the probability is equal to:

P = (10/10) * (9/10) * (8/10) * (7/10) = 0.504

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Answer:

A

Step-by-step explanation:

Question 4:

A.) Documentation Files (Field Reports)

Explanation:

Archaeologists record their findings in documentation files or field reports because that would be the more formal and official to jot down important information.

Question 5:

B.) Information Collection and Review

Explanation:

Archaeologists verify existing archaeological records through the information collection and review stage. This one was a tricky question, because it's asking about existing records, not newly found records.

Hope this helps ya :D

Answer:

Construct a box plot to represent the ages of the actors in a play. Step 1: Arrange the numbers in order from lowest (on the left) to highest. 24 18 30 26 24 33 32 44 25 28

Step-by-step explanation:

Actors Ages: 18, 24, 24, 25, 26, 28, 30, 32, 33, 44

Step 2: 18

Step 3: 44

Step 4: 27

Step 5: 24

Step 6: 32

Final answer:

To calculate the area of a circle with a circumference of 31.4 units, first find the radius using the formula r = C / (2π), then use the area formula A = πr² to obtain an area of 78.5 square units when π is approximated to 3.14.

Explanation:

To find the area of a circle with a given circumference, we first need to find the radius of the circle. The formula to calculate the circumference (C) is C = 2πr, where r is the radius and π (pi) is approximately 3.14159. For a circle with a circumference of 31.4 units, we can rearrange the formula to solve for the radius: r = C / (2π). Substituting the given circumference, we have r = 31.4 / (2×3.14) which simplifies to r = 5 units.

Now, we can find the area (A) of the circle using the formula A = πr². Substituting the calculated radius, the area becomes A = 3.14×5² which equals A = 3.14×25. Therefore, the area of the circle is A = 78.5 square units.

This calculation assumes the value of π (pi) is rounded to 3.14 for ease of calculation, which is typically 'close enough' for most estimation purposes.

Answer:

-3(6x + 2) = -18x - 6

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

[tex]\text{Distributive property}\rightarrow\text{a(b + c) = a}\times\text{b + a}\times \text{c = ab + ac}[/tex]

[tex]\text{Now that we know what the distributive property SHOULD look like,}[/tex] [tex]\text{we can solve for your answer}[/tex]

[tex]\text{-3(6x + 2)}\\\text{-3(6x) = -18x}\\\text{-3(2) = -6}[/tex]

[tex]\text{ + \& - = -. so the plus sign (+) becomes a negative sign/ subtraction symbol (-)}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\ -18 \ - \ 6}}}\checkmark[/tex]

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

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

The mean is: 85

Step-by-step explanation:

First you need to add everything up :

1 * 2 = 2

2 * 1 = 2

3 * 3 = 9

4 * 5 = 20

5 * 4 = 20

6 * 3 = 18

7 * 2 = 14

(I multiplyed them all first because i was fast than doing 4+4+4+4+4 because its the same as 4 * 5)

then add them all up 2+2+9+20+20+18+14=85

Answer:

The median is: 4

Step-by-step explanation:

Get the data in NUMERICAL ORDER (smallest to largest), then eliminate the extremes until we're at the middle. (basically chopping off the end till you get to the middle)  Therfore The answer would be 4.

Answer:

The mode would be: 4

Step-by-step explanation:

The mode is Get the data in NUMERICAL ORDER, and see which value is the most frequent (we can have more than one mode).

Answer:

25%

Step-by-step explanation:

firs you do 5 divided by 20 because there are 20 x's. this will = 0.25

0.25 = 25%

I hope I get brainiest. Sorry for taking forever. Have a nice day!

Answer:

270

Step-by-step explanation:

m q =90

so remaining angle for a circle is 270

Answer:

270

Step-by-step explanation:

ca is 180 since it is a straight line plus the 90 from section 1

ANSWER

The missing probability is 0.15

EXPLANATION

From the given probability distribution table.

P(1)=0.30

P(2)=0.40

P(3)=0.15

P(4)=?

For for this to represent a probability distribution function,then the sum of all the probabilities must be equal to 1.

P(1)+P(2)+P(3)+P(4)=1

This implies that,

0.30+0.40+0.15+P(4)=1

0.85+P(4)=1

P(4)=1-0.85

P(4)=0.15

Therefore the missing probability is 0.15

The slope is [tex]\frac{3}{4}[/tex] and x-intercept is [tex]\frac{8}{3}[/tex] and y-intercept is -2 of the linear equation [tex]y=\frac{3}{4}x-2[/tex].

Slope intercept form is one of the forms used to calculate the equation of a straight line.

i.e. y = mx + b

Here, m= slope and y = intercept ,

We have,

[tex]y=\frac{3}{4}x-2[/tex]

Now,

Compare the given equation with the slope intercept form,

i.e.

y = mx + b

[tex]y=\frac{3}{4}x-2[/tex],

So,

Slope [tex](m)=\frac{3}{4}[/tex],

Now,

To know, the x-intercept,

put y = 0,

i.e.

[tex]0=\frac{3}{4}x-2[/tex]

⇒[tex]\frac{3}{4}x=2[/tex]

We get,

[tex]x=\frac{8}{3}[/tex],

Now,

To know, the y-intercept,

put x = 0,

i.e.

[tex]y=\frac{3}{4}*0-2[/tex]

We get,

y = -2

Hence, we can say that the slope is [tex]\frac{3}{4}[/tex] and x-intercept is [tex]\frac{8}{3}[/tex] and y-intercept is -2 of the linear equation [tex]y=\frac{3}{4}x-2[/tex].

To know more about Slope intercept forms click here

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Final answer:

The slope of the equation y = 3/4x - 2 is 3/4, and the y-intercept is -2.

Explanation:

The linear equation given is y = 3/4x - 2. In this equation, the coefficient of x represents the slope and the constant term represents the y-intercept. Therefore, the slope of the line is 3/4 and the y-intercept is -2. The slope indicates that for each unit increase in x, y increases by 3/4, while the y-intercept tells us that when x is 0, the value of y is -2, indicating the point at which the line crosses the y-axis.

Answer:

Horizontal

Explanation:

There are many types of symmetry presented at school time. Many of the symmetry we used during photo shop. The simple picture can be symmetrical by putting a mirror seeing an image in the mirror.

There has been seen half of the original image and half of the mirror reflection. It can be said that the original picture is symmetric with the help of the mirror. It is also called reflective symmetry.

The mirror symmetry also called a one-line symmetry. The horizontal line of symmetry cuts the picture in two left and right parts.

Answer:

A=1665

Step-by-step explanation:

An area of a rectangle is length times width or l*w=a

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 5, hence

y = 5x + c

The line passes through the y- axis at (0, 3) ⇒ c = 3

y = 5x + 3 ← equation of line