Write the coordinates of the vertices after a reflection over the x-axis.
y
x
-10
10
-10
10
0
T
U
V


T(-1, 7)
→
T′(
,
)
U(-1, 8)
→
U′(
,
)
V(9, 6)
→
V′(
,
)

Note that given the angle of elevation, the distance from pont A to Point B is approximately 627.6ft.

See the attached image.

As shown in the attached figure:

L = AO Tan 8°

L = 1035 * Tan 8°

L = 1035 * 0.14054083470239144683811769343281

L = 1035 * 0.14054083470239144683811769343281

L = 145.46 Feet


BO = L/Tan 5°
BO =  145.459763917 / 0.08748866352592400522201866943496
BO = 1662.61270952
BO = 1662.6 Feet

Since AB = BO-AO
AB = 1662.6-1035

AB = 627.6 Ft.

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Step-by-step explanation:

slope = y2 - y1

__________

x2 - x1

slope = (-10 -2) / (-16 - 4)

slope = -12/-20

slope = 3/5

Answer:

20 oranges.

Step-by-step explanation:

If you add 10 and 3 that gives you 13,

now add the 7 and that should give you 20.

Answer:

Step-by-step explanation:

Function representing the bacterial growth has been given as,

\(b_1(t)=1200(1.8)^t\)

a). Here 1200 represents the initial number of bacteria taken for the study (1).

b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.

c). Second study is modeled by the function given as,

  \(b_2(t)=1000(1.8)^t\)

  Here, initial population of bacteria = 1000

  Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

By using the division property of equality we can divide both sides by -12 to get the solution x = -4

An equation:

A = B

Says that the number A is equal to the number B, so basically, are the same number.

So, if we divide both A and B by the same number C, we will get:

A/C and B/C

And A and B are the same numbers, then A/C and B/C also are the same numbers.

So in an equation, we can divide both sides by the same number (except 0) and the equation will not change.

In this case we have:

-12*x = 48

We could divide both sides by -12, so we will get:

-12*x/-12 = 48/-12

x*(-12/-12) = -4

x = -4

And thus we used the division property of equality to solve the equation.

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Hey there mate :)

As per question,

Options (a), (b) and (d) are correct.

(a) The cost per visit to a community pool.

Considering x = number of visits to the pool

a = fixed cost of visit.

So, the cost per visit to the pool y will be ax

Therefore, this represents a linear function.

And

The neighborhood charges a yearly fee to use the pool.

Assuming x = number of years

a = fixed fee to use the pool

So the yearly fee to use the pool y will be ax

Therefore, this represents a linear function.

(b) The cost to attend a show at the local theater. Tickets are $12 each.

Let x = number of shows

Let the cost of one show = $12.

Now, the cost of x shows y will be 12x

So, it represents a linear function.

(d) The distance a bicyclist travels when cycling at a constant speed of 30 mph.

Assuming x= time

Speed = 30 mph.

Since the distance (y) is given as:-

Distance = Speed×time, so,

=> y = 30x

Hence, this also represents a linear function.

Hence, all correct option are proved

Answer:

5 faces

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Percent means of a hundred. So, if 80 cents from one dollar is 80 out of a hundred, the percent would be 80%. Hope this helps :)

By using coordinate system of graph plotting, it can be obtained that Kaipo actually thought about plotting (-8, 5).

What is a coordinate system?

To locate the position of a point on the graph, coordinate system is used.

A set of two perpendicular axes on a graph divides the graph into four quadrants. Intersection of two axes is the origin. The left part of horizontal axis and top part of vertical axis from the origin is positive and the other parts are negative. A coordinate of a point is in the form of ordered pair. The first value is the value on the horizontal axis and the second value is the value on the vertical axis.

The first value of the coordinate is the value on the horizontal axis and the second value of the coordinate is the value on the vertical axis.

To plot (5, -8), it is required to move 5 units to the right from the origin and then move down 8 units.

Kaipo just did the opposite. He actually thought about plotting (-8, 5).

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The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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Answer:

A≈314.16

Step-by-step explanation:

a circle's diameter is 2 x radius

20/2 = radius

Area formula: A=πr^2

A=π 10^2

A≈314.16

Answer:

(3)+1. 12-2=9+1 so 9 is the answer

Answer:

70°

Step-by-step explanation:

Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.

Answer:

The answer is 33°

Yes you are correct

Step-by-step explanation:

angles on a straight line equal 180°

57+90+x=180

x+147=180

x=180-147

x=33°

Hi, I can't tell if there's a little square drawn in red to indicate that there's a right angle in the middle. There's some squiggly lines and so it's kind of hard to tell.

I am going to assume that there is. Let me know if there isn't.

The sum of these 3 angles would be 180 degrees.

As an equation, 57 + 90 + x = 180

Solve for x.

147 + x = 180

x = 33 degrees.

So this would be correct ASSUMING that there's a little red square drawn indicating that there's a right angle.

Answer:

n< -18

Step-by-step explanation:

Answer: I think that would be read as 190.3g

Step-by-step explanation: I got this because I started with 100, included the 90, and counted 0 by 0.1, 0.2, 0.3. Putting that all together would be 190.3g. I really hope this makes sense! I am not that great at explaining things.

this is

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$7850\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ t=years\dotfill &8 \end{cases} \\\\\\ A=7850[1+(0.042)(8)] \implies A=7850(1.336)\implies A = 10487.6\)

Answer:

2.9°F

Step-by-step explanation:

Make Sure you are not putting in -2.9°F

The new temperature of the substance is 2.9°F.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Temperature of a substance in an experiment = −2.4°F

Raise in temperature when it was placed on a table = 5.3°F

So, the new temperature = Temperature of a substance in an experiment + Raise in temperature when it was placed on a table

⇒ the new temperature = −2.4°F + 5.3°F

⇒ the new temperature = 2.9°F

this is the required new temperature.

Thus, the new temperature of the substance is 2.9°F.

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Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

The number of pens in stock is 31.

The ending inventory under LIFO is  $66.87.

The ending inventory under FIFO is $93.30

The ending inventory under the weighted average method is  $80.43.

The number of pencils left in stock is the difference between the total pens bought and the pens sold.

Pens in stock = pens bought - pens sold

(16 + 8 + 14 + 13 + 9 ) - 29

60 - 29 = 31

LIFO is an inventory method that assumes that the inventory bought last is the first to be sold. Ending inventory consists of earlier purchased inventory.

Ending inventory using LIFO = (16 X 2.12) + (8 X 2.15) + (7 x 2.25)

= $33.92 +$17.20 + $15.75 = $66.87

FIFO is an inventory method that assumes that the inventory bought the earliest is the first to be sold. Ending inventory consists of latest purchased inventory.

Ending inventory using FIFO = (13 x $3.20) + (14 x 3.05) + (4 x $2.25)

$41.60 + $42.7 +9 = $93.30

The ending inventory is the determined by determining the weighted average cost of inventory.

Weighted average = total value of inventory / number of inventory purchased

[ (2.15 x 8) + (9 x 2.25) + (14 x 3.05) + (13 x 3.20) + (16 x 2.12) ] / 60

= [17.2 + 20.25 + 42.7 + 41.6 + 33.92] / 60

= $155.67 / 60

= 2.59

Value of ending inventory = $2.59 x 31 = $80.43

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The shape that CANNOT possibly describe the cross section is a rectangle.

1. The given three-dimensional object consists of two congruent parallel trapezoids.

2. A plane intersects the object perpendicularly to the trapezoids, resulting in a cross section.

3. To determine the shape that cannot possibly describe the cross section, we need to examine the possible outcomes.

4. When a plane intersects the object perpendicularly to the trapezoids, the resulting cross section can be various shapes, such as a parallelogram, triangle, trapezoid, or rectangle.

5. Let's consider each of these possibilities:

  a. Parallelogram: If the cross section is a parallelogram, it means the intersecting plane is parallel to the bases of the trapezoids.

  b. Triangle: If the cross section is a triangle, it means the intersecting plane passes through one of the vertices of the trapezoids.

  c. Trapezoid: If the cross section is a trapezoid, it means the intersecting plane is parallel to one base of the trapezoids and intersects the other base.

  d. Rectangle: If the cross section is a rectangle, it means the intersecting plane is perpendicular to both bases of the trapezoids.

6. Out of these possibilities, the shape that cannot possibly describe the cross section is a rectangle because a perpendicular plane would not intersect both bases of the trapezoids at right angles simultaneously.

7. Therefore, the shape that cannot possibly be the cross section is a rectangle.

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Step-by-step explanation:

check the attachment above.

The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The total number of water bottles the company manufactured in February, March, and April.

In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.

Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.

This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.

Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

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Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

Based on the given summation notation, the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n

The expression is given as:

43Σn=1(3+9n)

As a general rule, if a summation notation is represented using the following expression

Σ(a + bn)

The equivalent expression of the above summation notation is

Σa + bn

Where the variable a is a constant in the expression

This means that:

Σ(a + bn) = Σa + bn

Using the above equation as a guide, we have the following equivalent equation

43 Σ n=1 (3+9n) = 43 Σ n=1 3 + 43 Σ n=1 9n

Hence, based on the given summation notation; the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n

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Answer:

D on 3dg I took the best

Step-by-step explanation: