Which of the following could be a mirror line on a coordinate plane?
A
(1, 1)

B
(0, 10)

C
the origin

D
the x-axis

Answer:

$584.41

Step-by-step explanation:

From this information, we can write the following equation:

[tex]P = 500(e)^{0.039t[/tex] where t is the number of years.

To find out the amount after 4 years, we can simply plug in 4 for t:

[tex]P = 500(e)^{0.039(4))\\[/tex]

≈ $584.41

Answer:

$584.41

Step-by-step explanation:

From this information, we can write the following equation:

where t is the number of years.

To find out the amount after 4 years, we can simply plug in 4 for t:

≈ $584.41

Step-by-step explanation:

The area of the floor of the scale drawing and the scale factor are 72 in² and 1/4 respectively

Actual Length = 36 feets

Actual width = 32 feets

Model width = 9 inches

The scale factor = 9 / 36 = 1/4

The length of the model canbe calculated thus :

Actual Length × scale factor

Model width = 32 × 1/4 = 8 inches

The Area of a rectangle can be calculated using the relation :

Area = Length × width

Area of floor = 8 inches × 9 inches = 72 inch²

Therefore, the area of the floor of the scale drawing is 72 in²

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The area of the rectangular floor in the scale drawing is A = 156 inches²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular floor in the scale drawing be A

Let the length of the rectangular floor be L = 26 feet

Now , the length of the rectangular floor in scale drawing = 13 inches = L/2

And , the width of the rectangular floor be W = 24 feet

So , the width of the rectangular floor in scale drawing = W/2 = 12 inches

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

The area of the rectangular floor in the scale drawing A = 13 x 12

The area of the rectangular floor in the scale drawing A = 156 inches²

Hence , the area of rectangle is 156 inches²

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The sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

Sample is the particular group which is gathered from a data. A professor teaches four types of science classes.  Professor wants to try out a new style of exam, thus, during finals,

The gives the new exam to 15 randomly selected students in each class and remaining other students take the regular exam. Thus, the sample is 15.

Hence, the sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.

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Answer:

23.88 cm squared

Step-by-step explanation:

3.6 x 5.9 = 21.24

1.1 x 4.8 x 1/2 = 2.64

21.24 + 2.64 = 23.88

Answer:

2.05 · 10^-1

Step-by-step explanation:

(5·10^-3)+(2·10^-1) = 2.05 × 10^-1

Answer:

1300 pens

Explanation:

Set up equations where p is pencil, q is pens

Equation's:

1st equation: 0.05p + 0.25q = 400

2nd equation: p = 1500

Insert equation 2 into 1:

0.05(1500) + 0.25q = 400

75 + 0.25q = 400

0.25q = 325

q = 325/0.25

q = 1300

Answer:

500

Step-by-step explanation:

Hello!

Let the smallest number be x. The next number would be x + 1, then the next would be x + 2, then x + 3.

The sum of these four is 1998.

Solve for x:

The third number is (x + 2), so simply add 2 to 498 = 500

The third number is 500.

All 4 numbers are 498, 499, 500, and 501.

Answer:

√2685 is your answer

hope this will help you

If you're talking about 6-digit numbers in base 10 (so there digits are one of the numbers 0-9), such a number can be made up of either

• two 1s and four 0s, or

• one 2 and five 0s

and the leading digit must be non-zero.

If such a number starts with 1, then there are 5 slots which can contain the other 1. So there are 5 numbers in this group.

If such a number starts with 2, the rest are 0s. So there is 1 number in this group.

Then there are only 6 numbers with 6 digits whose digital sum is 2.

110000

101000

100100

100010

100001

200000

I'm pretty sure the answer is 232cm

11x8=88

88÷2=44

44x4=176

8x7= 56

176+56=232

Correct me if I'm wrong :)

Answer:

Surface area =

160 sq cm

Step-by-step explanation:

To find surface area, you find the area of all the faces and add them together. There are 4 faces (flat surfaces) The base is a triangle and the 3 sides are also triangles. The area of a triangle is:

A = 1/2 b•h

For the base,

A = 1/2•8•7

A = 28 sq cm

For the sides, we can do one calculation and times by 3 because they are all the same.

A = 1/2•8•11

= 44 sq cm

One face is 44, 3×44 is 132 for all three faces.

Surface area =

28 + 132

= 160 sq cm

Answer:

square millimeters

Step-by-step explanation:

The surface area will always have answer in

square millimeters / meters / centimeters, etc.

Answer:

6

Step-by-step explanation:

Given :

⇒ The triangles are similar

⇒ The sides are in proportion

===============================================================

Solving :

⇒ [tex]\frac{6}{15+6} = \frac{8}{3x+10}[/tex]

⇒ [tex]\frac{6}{21}= \frac{8}{3x+10}[/tex]

⇒ [tex]\frac{2}{7} = \frac{8}{3x+10}[/tex]

⇒ [tex]\frac{1}{7}=\frac{4}{3x+10}[/tex]

⇒ 1(3x + 10) = 7(4)

⇒ 3x + 10 = 28

⇒ 3x = 18

⇒ x = 6

=============================================================

Solution :

The value of x is 6

Answer:

Step-by-step explanation:

The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle contains the point (–5, -3) and has a center at (-2, 1), hence:

[tex]radius=\sqrt{(1-(-3))^2+(-2-(-5))^2}=5\ units[/tex]

The equation is:

(x - (-2))² + (y - 1)² = 5²

(x + 2)² + (y - 1)² = 25

The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25

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Answer:140

Step-by-step explanation:

Answer:

B) sqrt(50)

Step-by-step explanation:

c=sqrt((sqrt(10)^2+sqrt(40)^2)=sqrt(10+40)=sqrt(50)

Answer:

2

Step-by-step explanation:

3n+2=8

Collect like terms

3n=8-2

3n=6

Divide both sides by 3

3n÷3=6÷3

n=2

Answer:

B:  y = -(1/2)x + 4

Step-by-step explanation:

I'll assume the x term is missing from options A and B:

IThey should read:

A. Y= - (1/2)x+ 8

B. Y= - (1/2)x+4

Use the two given points to calculate the slope of the line of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

(0,4) and (8,0)

Rise = (0 - 4) = -4

Run = (8 - 0) = 8

Slope, m, = -4/8 or -(1/2)

The perpendicular line has the form y = -(1/2)x + b.  There are options that have a -(1/2) slope:  A and B.  

To narrow it down, we need to calculate a value of b.  

Use y = -(1/2)x + b and solve for b using either of the two given points [(0,4) or (8,0)].  I'll use (0,4).

y = -(1/2)x + b

4 = -(1/2)(0) + b

b = 4

The equation is thus y = -(1/2)x + 4, option B

The equation for a horizontal plane through the point (0,−2,−3) is z= -3.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let's assume n is the normal vector for the horizontal plane < 0, 0, 1 > .

The co-ordinate of the point is (0,−2,−3)

The general equation of a plane is -

[tex]n < x-x_0 , y - y_0, z-z_0 > =0\\\\ < 0,0,1 > \\\\0(x)+0(y+2) +1(z+3)\\\\z = -3[/tex]

Thus, The equation for a horizontal plane through the point (0,−2,−3) is z= -3.

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Answer:

Below in bold.

Step-by-step explanation:

This is a regular polygon so all sides are congruent, therefore:

The perimeter of the polygon = 6*34 = 204 units.

We can divide the polygon into 6 conguent triangle with height 30 and base 34.

So area of 1 triangle = 1/2*34*30 = 510.

So area of the polygon = 6 * 510 = 3060 unit^2.

Perimeter of the polygon = 6*34 = 204 units.

Step-by-step explanation:

the surface area of a figure is always the result of a combination of multiplication(s) of 2 dimensions (side lengths).

and the volume of 3 dimensions (side lengths).

"similar figures" means that they share the same angles. and that there is one scaling factor that applies to all sides (and all other lines like heights).

so, no matter what sides are used to calculate the surface areas and the volumes, it is the same scaling factor used for each of them.

in a multiplication of 2 sides (for the area) the scaling factor is therefore applied twice and hence squared, in a multiplication of 3 sides it is applied 3 times and therefore cubed.

let's call the scaling factor f.

1472 × f³ = 2875

and then

928 × f² = large S.A.

let's use the first to get f :

1472 × f³ = 2875

f³ = 2875 / 1472 = (125 × 23) / (64 × 23) = 125/64

f = 5/4

f² = (5/4)² = 5²/4² = 25/16

large S.A. = 928 × 25/16 = 58 × 25 = 1450 m²

Answer:

Step-by-step explanation:

what we know is that 45% of the total was 180 (they voted red)

55% of the total voted blue.

To find the total, we need to set up a cross-multiplication equation

180/45 = ?/100

180 times 100 is 18000

18000/45 = 400

400 students were surveyed in total

we can check this by getting 55% of this, and adding it to 180.

If it equals to 400, then we're right.

55% of 400 = 220

220 + 180 = 400

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The domain of the function for this situation is; s<= 7.

It follows from the task content that the perimeter , p, of a square is a function of its side length, s. The perimeter of the square is 28 inches or less.

On this note it follows that;

P = 4s <= 28

Hence, it follows that; s<=7.

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The function that has a range limited to only negative numbers is Square Root.

The function of this kind is known to be a kind of radical function that is said to have even index e.g. a square root.  and thus, this radicand  is one that can have a negative value for some or for the  values of x.

Note therefore, that The function that has a range limited to only negative numbers is Square Root and thus it is correct.

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Answer:

A or the first Graph

Step-by-step explanation:

My attachment proves this answer is true

Answer:

13.82 in.

Step-by-step explanation:

To find the circumference of a circle, you multiply the diameter by pi ([tex]\pi[/tex]):

[tex](4.4)(\pi )=13.82301[/tex]

Rounded to the nearest tenth, 13.82301 is 13.82. Therefore, 13.82 is the answer.

I hope this helps!

Answer:

D

Step-by-step explanation:

Remark

The two legs when each of them is squared = 136 by

6^2 + 10^2 = 36 + 100 = 136

The hypotenuse is 12

12^2 = 144

The answer is that it is not a right angle triangle having 2 legs and a hypotenuse. That is because both sides are not equal.

Answer:

The correct answer should be 8.5 (I think) : )

The statement that best describes the relationship between lines s and t is: Lines s and t are parallel.

Parallel lines are as those lines that does not intersect one another despite being equal to each other.

Lines s and t are said to be parallel lines because they are cut by transversal which in turn means that transversal intersect lines s and t to make it parallel lines.

Therefore the statement that best  describes the relationship is :Lines s and t are parallel.

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Answer:

[tex]9 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ \\ = \sqrt{ {2}^{2} \times 2} + 3 \sqrt{2} + \sqrt{ {2}^{4} \times 2 } \\ \\ = 2 \sqrt{2} + 3 \sqrt{2} + {2}^{2} \sqrt{2} \\ \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]