**Answer:**

162

**Step-by-step explanation:**

1 hundred (100) + 5 tens (50) + 12 ones (10+2)

100+50+12 = 162

In gym class, the students are going to design and build obstacles for an upcoming field day. Before they can start building, each student has to submit a two-dimensional scale drawing of the obstacle they want to build. Barbara's drawing of her obstacle is shown below.

Note: Figure not drawn to scale.

In Barbara's drawing, the obstacle has a total area of______ square feet.

This obstacle will have a width of 4 feet. The volume of the obstacle is____cubic feet.

The **obstacle** has a **total area** of 69 square feet and a **volume** of 276 cubic feet.

To determine the **total area**, we calculate and add up the **area **of each shape.

The **shapes **in the figure are:

Using the **area formula **of each shape, the **total area **is:

Total = 0.5 * 1 * 6 + 0.5 * 5 * 8 + 2 * 2 + 7 * 6

Evaluate

Total = 69

Hence, the **obstacle** has a **total area** of 69 square feet.

This is calculated as:

Volume = Base area * Height

The height is 4.

So, we have:

Volume = 69 * 4

Evaluate

Volume = 276

Hence, the **obstacle** has a **volume** of 276 cubic feet.

Read more about **area and volume** at:

https://brainly.com/question/13175744

#SPJ1

Find the equation of the line that passes through (-1,2) and is perpendicular to y =2x+1 . Leave your answer in the form y = m x + c

Find the slope from the perpendicular line, and then insert the given point into the equation to find c, steps in picture:

At the trial of a contract dispute, the plaintiff has offered to testify to what she heard the defendant say in a private conversation between the two of them, which the plaintiff secretly recorded on an audiotape that she did not offer in evidence. Is the plaintiff's testimony admissible

The plaintiff's **testimony** is admissible because plaintiff as personal knowledge of the statement of a **party-opponent**.

The recording is **coincidental** with firsthand knowledge. The person could testify based upon firsthand knowledge and could also lay the **foundation** under Article 9 to authenticate the tape.

In this case, the **tape** is not required as a matter of the original **writing** rule, giving the proponent options to offer testimony from memory, and/or the opportunity to corroborate the in-court testimony by a demonstrative exhibit

Learn more about **testimony** on:

https://brainly.com/question/26788566

#SPJ1

Identify the function with a period of 4 and an amplitude of 2.

**Answer:**

it's only 2pi/B because the period of sin and cos is 2pi. If we were dealing with tan it'd be pi/B, since the period of tan is just pi.

Which of these shapes are congruent

**Answer:**

Option A is probably the answer

If you have any question please contact me

**Answer: A is the answer, should be right**

This question is worth 15 points.

A bedding set that regularly sells for $86

is on sale with a 20% discount. How

much will the total sale be including a 5%

sales tax?

The** total sale** of the bedding set including 5% sale tax is $**69.66**

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

Discount = 20% of 86 = 0.2 * 86 =** 17.2**

Selling price of bed = 5% of 17.2 = 0.05 * 17.2 = 0.86

Total sale = 86 - 17.2 + 0.86 = **69.66**

The** total sale** of the bedding set including 5% sale tax is $**69.66**

Find out more on **equation **at: https://brainly.com/question/2972832

#SPJ1

Rationalize the denominator:

GRADE 9

CBSE

**Answer:**

1. a)

[tex] \begin{gathered} \frac{2}{ \sqrt{3} - 1 } = \frac{2}{ \sqrt{3} - 1} \times \ \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1 } \\ = \frac{2 \sqrt{3} + 2 } {( \sqrt{3} ) {}^{2} - 1 {}^{2} } = \frac{2 \sqrt{} 3}{3 - 1} = \frac{2 \sqrt{3} }{2} \\ = \sqrt{3} \end{gathered}[/tex]

[tex]\\[/tex]

b)

[tex]\begin{gathered} = > \: \: \frac{7}{ \sqrt{12} - \sqrt{5} } \\ \\ = > \: \: \frac{7}{ \sqrt{12} - \sqrt{5} } \times \frac{ \sqrt{12} + \sqrt{5} }{ \sqrt{12} + \sqrt{5} } \\ \\ = > \: \: \frac{7( \sqrt{12} + \sqrt{5} ) }{ {( \sqrt{12}) }^{2} - {( \sqrt{5}) }^{2} } \\ \\ = > \: \: \frac{7( \sqrt{12} + \sqrt{5}) }{12 - 5} \\ \\ => \: \: \frac{ \cancel{7}( \sqrt{12} + \sqrt{5} ) }{ \cancel{7}} \\ \\ => \: \: \sqrt{12} + \sqrt{5} \end{gathered}[/tex]

1-:

[tex] \displaystyle \frac{2}{ \sqrt{3} - 1 } [/tex]

[tex] \displaystyle = \frac{2}{( \sqrt{3} - 1)( \sqrt{3} + 1 } \\ [/tex]

[tex] \displaystyle2 \frac{ \sqrt{3} + 1 }{ \sqrt{3 {}^{2} - 1 {}^{2} } } [/tex]

by( a-b×a+b=a²b²)[tex] \displaystyle2 \frac{ \sqrt{3} + 1}{3 - 1} [/tex]

[tex] \displaystyle \: \sqrt{3} + 1[/tex]

[tex] \displaystyle2 - ) \frac{7}{ \sqrt{12} - \sqrt{5} } [/tex]

[tex] \displaystyle\frac{ \sqrt{12} \sqrt{5} }{ \sqrt{12 {}^{2} } \times \sqrt{5 {}^{2} } } [/tex]

[tex] \displaystyle7\frac{ \sqrt{12} + \sqrt{5} }{7} = \sqrt{12} + \sqrt{5} [/tex]

[tex] \displaystyle3) = \frac{8 + 3 \sqrt{5} }{64 - 45} \\ = \frac{8 - 3 \sqrt{5} }{19} [/tex]

I AM ASKING AGAIN HELP GUYZ

**Answer:**

[tex]\huge\boxed{\sf C, \ D \ and \ E}[/tex]

**Step-by-step explanation:**

**Given expression:**

Distribute 2 to both terms.

= 8f + 4gWe can also split 8f into 4f and 4f.

= 4f + 4f + 4gIf we take 4 common

= 4(f + f + g)

= 4(2f + g)[tex]\rule[225]{225}{2}[/tex]

**Answer: Heya! ~**

**Step-by-step explanation:**

Given: Expression 2(4f + 2g)

We have to choose an equivalent expression to the given expression 2(4f + 2g)

**Consider the given expression 2(4f + 2g) **

**Apply Distributive property, a( b + c) =ab + ac**

We have,

a = 2, b = 4f and c = 2g

2(4f + 2g) = 8f + 4g

Now, take *4 common* from each term, we have,

8f + 4f = 4 (2f + g)

Now, We have,

**a = 2, b = 4f and c = 2g**

2(4f + 2g) = 8f + 4g

Now, take 4 common from each term, we have,

8f + 4f = 4 (2f + g)

**Now, an equivalent expression to the given expression 2(4f + 2g) is 8f + 4g and 4 (2f + g)**

- Keira

Ammonia (NH3) can be made using the reversible reaction shown. Which change would keep this reaction from shifting to form more of the produce Decreasing the pressure in the reaction ? 3H2 + N2 ⇄ 2NH3 + energy A. Decreasing the pressure in the reaction vessel

**Decreasing** the **pressure** in the reaction vessel will keep this reaction from shifting to form more of the **produce**(ammonia).

This is defined as the **force** per unit **area** of a body and the S. I unit is in **Pascal**.

**Ammonia** production involves reaction between **hydrogen** and **nitrogen** gas in which **pressure** has an effect on the **reaction** rate unlike in solids and liquids. An increase in **pressure** will result in more **products** being formed and vice versa.

Read more about **Pressure** here https://brainly.com/question/25736513

#SPJ1

Arrange the tiles on both boards to find the value of x.

Board sum: 3x + (-5) = 1

What x value solves the equation?

3x - 5 = 1

X =

**Answer:**

3x-5=1

3x=5+1

3x=6

x=6/3

x=2

3. Which of the following is equivalent to (10a³b³) (5a³b²)?

**Answer:**

50a^6b^5

**Step-by-step explanation:**

I don't see answer choices, but this is the simplified version. To do this, multiply 10*5, a^3 * a^3 (which adds the exponents), and then b^3*b^2.

Out of a sample 650 high school students, 321 take the bus to school every day. construct a 99% confidence interval for the population mean of high school students that take the bus to school every day.

a.ci=(43.23%,51.18%)

b.ci=(44.34%, 54.43%)

c.ci=(45.54%, 53.23%)

d.ci=(46.16%,52.16%)

A 99% **confidence interval** for the **population mean** of high school students that take the bus to school every day is b) **ci=(44.34%, 54.43%)**

We need to find the **99%** **confidence interval** for the population mean of high school students that take the bus to school everyday

A **confidence interval** is a range of estimates for an unknown parameter. The **confidence interval** is calculated at the specified **confidence level**; the most common is the 95% **confidence level**, but sometimes other levels are used, such as 90% or 99%.

The **confidence interval** of **proportions** is given by:

**π ± z √(π (1-π) /n)**

π is the sample proportion.

z is the critical value.

n is the sample size.

For 99% **confidence interval** the value of **z** is** 2.58**

π = 321/650

The **confidence interval** is given by

=321/650 ± 2.58 √( (321/650) × [ 1 - (321/650) ] ÷ 650)

= (0.493846 ± 0.050594)

=(0.4434 , 0.5443)

=(44.34 % , 54.43 %)

Hence a 99% **confidence interval** for the population mean of high school students that take the bus to school every day is **ci=(44.34%, 54.43%)**

Learn more about **confidence interval**:

https://brainly.com/question/28052710

# SPJ4

some one help me please

**Answer:**

(0,3)

**Step-by-step explanation:**

The y-intercept is the point where the line touches the y-axis and x is 0.

**Answer:**

(0,3)

**Step-by-step explanation:**

The y-intercept is when the line crosses the y-axis, in this case the point is at (0,3)

The shallowest section of an underground tunnel is -50 feet. The deepest section of the tunnel is -135 feet. How many feet below the shallowest section is the deepest section?

A. -95 feet

B. -185 feet

C. 85 feet

D. 195 feet

**Answer:**

c

**Step-by-step explanation:**

1) eliminate the negative answers since we need the amount of feet below a section and a negative number below a section doesn't make sense in this context and would result in a distance higher than the shallowest section.

Just find the absolute value or the difference between 135 and 50 resulting in 85

Define the domain and range of each function. GRAPH IS BELOW :)

Domain:

Range:

FIRST PERSON TO ANSWER GETS BRAINLIEST OR 5 STARS!

**Answer:**

**Domain: ( Positive infinity, Negative Infinity)**

**Range: (-3, Positive Infinity ) **

**Step-by-step explanation:**

The science teacher has to write report cards for all her students. It takes 1/8 of an hour to complete one report card. How many report cards can the teacher complete in 14 hours?

**Answer:**

112

**Step-by-step explanation:**

If she takes 1/8 of an hour to complete one then she can finish 8 in 1 hour.

8 x 14 = 112

Pack of 100 index cards , 15 cmx 10 cm paper density 200 gsm what is the area of the cards on the table

a)15000 square cm or 1.5 square meter

b)32

c)80 GSM

d)0.405 gram

refer to the following images for solutions :

Index cards are used for a **wide range of applications and environments: in the home to record and store recipes**, shopping lists, contact information, and other organizational data; in business to record presentation notes, project research and notes, and contact information; in schools as flashcards or other visual.

Learn more about** index cards** at

https://brainly.com/question/531660

https://brainly.com/question/531660

#SPJ4

This table shows values represented by an exponential function x= 0,1,2,3,4,5,6 y=1,3,9,27,64,125,216 what is the average rate of change for this function for the interval from x=2 to x=4?

**27.5 **is the answer

For this case we know that the average rate of change of a function is given by this general expression:

**m = f(b) - f(a)/ b-a**

For this special case from the info in the table we have:

a =2 , f(2) = 9

a =4 , f(4) = 64

And replacing the data with the **average rate formula** we got:

m = 64 - 9/4 - 2 = **27.5**

And then the best answer for this case would be:

**27.5**

The exponential function is a **mathematical **function represented by f (x) = \ exp or e ^ {x}. Unless otherwise specified, the term generally refers to a function of a** positive value** of a real variable, but it can also be extended to complex numbers or generalized to other mathematical objects such as **matrices **and Lie **algebras**.

Learn more about **exponential function **here:https://brainly.com/question/2456547

#SPJ4

In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probabilities of matching

The **probability **of matching six numbers is [tex]\frac{1}{47C_{6}}[/tex].

To find the **probability**, we have to divide the favorable events by the total number of events.

The total number of events is given by:

[tex]47C_{6}[/tex]

We use **combinations **since the order doesn't matter.

The total number of favorable events is given by:

[tex]6C_{6}[/tex]

The **probability **is given by:

[tex]\frac{\text{Favorable events}}{\text{Total events}}=\frac{6C_{6}}{47C_{6}} \\= \frac{1}{47C_{6}}[/tex]

We have found the probability of matching all six balls to be [tex]\frac{1}{47C_{6}}[/tex].

Therefore, we have found that the **probability **of matching six numbers is [tex]\frac{1}{47C_{6}}[/tex].

Learn more about **probability** here: https://brainly.com/question/24756209

#SPJ4

**Disclaimer**: The question was incomplete, the complete question is attached below.

**Question**: In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probability of matching six numbers.

Fair coin say you flip a coin 10 times. It comes up tails 8 times and heads twice. Is this a fair coin?

Yes this is a fair coin because it could have landed on either sides 8\10+6

Find 8. Round to the nearest degree.

OA. 68°

OB. 69°

OC. 22°

OD. 21°

**Answer:**

A

**Step-by-step explanation:**

[tex]\cos \theta=\frac{3}{8} \\ \\ \theta=\cos^{-1} \left(\frac{3}{8} \right) \\ \\ \theta \approx 68^{\circ}[/tex]

Ruby buys 24 books and 5 pens.she pays with a 500 rupee note and get rs90 as change.shania bought 12 books and 10 pens for rs280.find the cost of 1 pen.

The **cost **of one pen is Rs 15.

It is given that Ruby paid with a 500 rupee note and got Rs 90 back.

This means that she spent 410 rupees.

Therefore the **cost **of 24 books and 5 pens is Rs 410.

Let the **cost **of books be x and the **cost **of pens be y.

Therefore, we can form the following **equations**:

24x + 5y = 410 (1)

12x + 10y = 280 (2)

We have to find the value of y.

Multiply the second **equation **by 2:

24x + 20y = 560 (3)

Now subtract the first **equation **from the third equation:

24x + 20y - 24x - 5y = 560 - 410

15y = 150

y = 15.

The variable y represents the **cost **of one pen.

This means that the **cost **of one pen is Rs 15.

Therefore, we have found that the **cost **of one pen is Rs 15.

Learn more about **solving a system of equations** here: https://brainly.com/question/13729904

#SPJ4

The radius of a circle is 58 centimeters. enter the circumference of the circle

**Answer:**

C = 364.24

**Step-by-step explanation:**

**Comment**

The circumference and the radius are related to one another. The constant relating them is pi which is a fixed number of 3.14 The formula for the circumference is C = 2*pi * r

**Givens**

pi = 3.14

r = 58 cm

Circumference = ?

**Formula**

C = 2*pi * r

C = 2 * 3.14 * 58

C = 364.24

Find a linear inequality with the following solution set. Each grid line represents one unit.

Give your answer in "standard form" ax+by+c>0 or ax+by+c\geq0 where a, b, and c are integers with no common factor greater than 1.)

The **linear inequality** in standard form is: x + y < -2 or x + y + 2 < 0

To determine what **sign** to use, follow these rules:

The **graph** given has the following features:

Find the **slope**:

**Slope** (m)= rise/run = -(2 units) / (2 units).

**Slope** (m) = -1.

The **y-intercept** (b) = -2.

Substitute m = -1 and b = -2 into y < mx + b:

y < (-1)x + (-2)

y < -x - 2

Rewrite

x + y < -2

x + y + 2 < 0

Learn more about **inequality** on:

https://brainly.com/question/11234618

#SPJ1

Find the distance between the points C(−6, 5) and D(−3, 1).

**Answer:**

5 units

**Step-by-step explanation:**

Given the following question:

To find the answer to this question we will use the formula to calculate distance.

(6, 5) = (x1, y1)

(-3, 1) = (x2, y2)

[tex]d=\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]

[tex]d=\sqrt{(-6-(-3))^2+(5-1)^2}[/tex]

[tex]-6+3=-3[/tex]

[tex]5-1=4[/tex]

[tex]d=\sqrt{(-3^2+4^2)}[/tex]

[tex]-3^2=-3\times-3=9[/tex]

[tex]4^4=4\times4=16[/tex]

[tex]d=\sqrt{9+16}[/tex]

[tex]9+16=25[/tex]

[tex]\sqrt{25}[/tex]

[tex]\sqrt{25} =5\times5=25[/tex]

[tex]=5[/tex]

Which means the distance between the two points is "5 units."

Hope this helps.

The nth term of a sequence is 2n2² - 4n+4 Work out the 8th term of the sequence. 8th term= Submit Answer Skip for Now

The **nth term** of a sequence exists 2n2² - 4n+4 is** 36.**

The order of operations exists as a rule that describes the **right sequence** of measures for estimating a math expression. We can recognize the order utilizing PEMDAS: **Parentheses, Exponents, Multiplication, and Division **(from left to right), **Addition, **and** Subtraction **(from left to right).

[tex]$2*8*2^{2} - 4*8+4[/tex]

Follow the **PEMDAS order of operations**

Calculating the **exponents**, we get 2² = 4

[tex]= 2*8*4 - 4*8+4[/tex]

= 64-32 +4

= 36

Therefore, the **nth term** of a **sequence** that exists 2n2² - 4n+4 is** 36.**

To learn more about **sequences** refer to:

**https://brainly.com/question/8662453**

#SPJ9

State if the three side lengths 3 mi, 12 mi, 13 mi?

Since the** sum of any two sides** is **greater t**han the third, hence the three sides for the s**ides of a triangle**

A triangle is a 2-D shape with** 3sides and angles.** According to the question, we are to determine whether the given measures form sides of a triangle.

For the following measure to form the sides of a triangle, the sum of any two sides must be equal to the third as shown:

3 + 12 = 15 > 13

3 + 13 = 16 > 12

13 + 12 = **25 > 3**

Since the** sum of any two sides** is **greater t**han the third, hence the three sides for the s**ides of a triangle**

Learn more **triangle** here: https://brainly.com/question/2217700

#SPJ1

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.

A 2-column table with 4 rows. The first column is labeled age range with entries 25 to 29, 30 to 34, 35 to 39, 40 to 45. The second column is labeled number of sick patients with entries 3, 6, 5, 4.

Which dot plot could represent the same data as the frequency table?

The** dot plot** that could represent the same data as the **frequency **table is the second plot. This is further explained below.

Generally, Data points are **represented **as dots on a graph with an x- and y-axis in a dot plot sometimes referred to as a strip plot or dot chart, which is a straightforward kind of **data visualization**.

The frequency table displays the number of ill patients in each age group. **The first two plots** are incorrect because the sum of the** dots connecting **the numbers 24, 25, 26, 27, 28, and 29 in the first two plots is 3, but not in the other two plots.

In conclusion, there are only 4 ill individuals when the dots from the 30-34 age range on the first plot are added **together**. There are a total of 6 cases in that age group on the second graph. As a result, the second dot plot is the one that matches the frequency table.

Read more about **dot plot**

https://brainly.com/question/22746300

#SPJ1

Answer:

id b on edge

Which of the following systems of equations has the solution (1, 6)?

y = –5x – 1

y = –x + 7

y = 5x + 1

y = x – 7

y = 5x + 1

y = –x – 7

y = 5x + 1

y = –x + 7

**Answer:**

**Step-by-step explanation:**

hello :

the system is : y = 5x + 1

y = –x + 7

put : x=1 you have y = 6

write each as the sum of two terms in the form t_n,r. t_5,3 , t_11,2 , t_15,13

The **sum **of two terms are:

The **sum **of two numbers is one that tells you to find the sum of two or more **numbers**, and as such, you have to add the numbers **altogether**.

t₅, ₃ = 5 + 3

= 8

t₁₁, ₂ = 11 + 2

= 13

t₁₅,₁₃ = 15 + 13

= 28.

Hence the correct **sum **of two terms are:

Learn more about **sum ** from

https://brainly.com/question/17695139

#SPJ1

How many moles of carbon are needed to produce 562 grams of carbon dioxide?
24 tiny homes are being built from 15 pallets of wood. How many pallets will each home use
What are some of the setbacks that happened during the horses (Joeys) training? Name three(For the movie "War Horse")
What are the two avant gardes?
Which basic economic question deals with the issue of how the income of people in various occupations is determined?
The scale on map indicates that 3/4 of an inch represents 3miles. If the distance between two points on its map is 2inches, how far apart are two locations?
In June, Lupita saved $115 for retirement. In July, she saved $165. To the nearest percent, what was the increase in Lupita's retirement savings from June to July?
Prove that the bisectors of two supplementary angles are perpendicular to each other.
Pa, new photo is, drivers safety
A perfect correlation is denoted by:
In what quadrant-14 -5i located on the complex plane
what medication is incompatible with lactated ringers
The expression 4 square root of 3 times 3 square root of 3^5 is equivalent to
Does choanoflagellates have cell covering or skeleton. Give an explanation.
Which of the following would help MOST to improve the overall quality of the document?
Acceleration and Velocity
Which New Deal programs do you think were most important? List your top five choices and indicate why each made your list. (Georgia studies 8th grade)
These maps show ancient settlements in India and China. Which statement is true about the location of most settlements?They were located near oceans to provide good drinking water for the population.They were located near deserts for the protection from invaders.They were located near rivers and fertile floodplains to allow successful planting.They were located near mountains for access to animals to hunt.
An astronaut at rest in space with mass 84 kg fires a thruster that expels 35 g of hot gas at 875 m/s. What is the velocity of the astronaut after firing the thruster?.
How do you write an effective paragraph?