**Step-by-step explanation:**

Solution,

Effort=800N

Effort arm=80 cm

Load arm=20 cm

Load=?

Now,

by the principle of lever, we have

Load×Load arm=Effot×Effort armLoad×20=800×80Load=800×80/20Load=3200 NSo, the load of 3200N can be lifted .

**Answer:**

load (l) =?

LOAD ARM = 20 CM

EFFORT ( E)= 800N

EFFORT ARM = 80cm

load *load arm = effort *effort arm

l*20 cm = 800 *80

L = 64000/20

answer = 3200

PLSSS HELPPPPP- Evaluate the expression. 1 1 4 25 3 Write your answer as a fraction or as a whole or mixed number.

**Answer:**

Mixed number form 4 4/5 exact form 24/5

**Step-by-step explanation:**

hope this helps

Answer:

Step-by-step explanation:

8/15

true or false? in a two-column proof, the left column states your reasiong

False. The left column is for your statements , the right column is for your reasoning.

Ray has gone 3/5 of a kilometre. How many metres has he gone?

**Step-by-step explanation:**

3/5 of a kilometre

=3/5×1000 meters

=3000/5 meters

=600 meters

**Answer:**

600 metres

**Step-by-step explanation:**

1 kilometre equals 1,000 metres.

[tex]\frac{3}{5}[/tex](1000) = 600 metres

*If you need more clarification, ask me in the comments. Thanks!*

4z - 15 = 4z + 11

How would this one work?

There is no solution for this equation.

Subtracting 4z from both sides gives -15 = 11 which is inpossible.

Subtracting 4z from both sides gives -15 = 11 which is inpossible.

PLEASE HELP!!!!!! Im being timed

**Answer:**

9,6 I think so??????????

9. El radio de una pelota de básquetbol es aproximadamente 3.6 veces mayor

que el radio de una pelota de tenis. ¿Cuántas veces mayor es el volumen

de una pelota de básquetbol que el volumen de una pelota de tenis?

4

Nota: El volumen de una esfera es V = -tr

**Answer:**

so the volume of the basketball is 46.656 times greater than the volume of the tennis ball.

**Step-by-step explanation:**

−1 4/5−(−2 7/8)

4 3/4−(−1 1/12)

−1 4/5−(−2 7/8)

3 1/3-5

−1/3−(−1/2

**Answer:**

1) 43/40

2) 35/6

3) 43/40

4) -5/3

5) 1/6

**Step-by-step explanation:**

1) -1 4/5 = -(1*5 +4)/ 5= -9/5

or 1= 5/5 so -1 4/5= -( 5/5+ 4/5)=-9/5

-2 7/8= -(2*8+7)/8=-23/8

=> -9/5 - ( -23/8)= -9/5 + 23/8 = (( -9*8)+(23*5))/40= (-72+ 115)/40

= 43/40

2) 4 3/4= (4*4+3)/4= 19/4

-1 1/12= -(1*12+1)/12= -13/12

=> 19/4 - (-13/12)= 19/4 + 13/12 = ((19*3)+13)/12= (57+13)/12= 35/6

3) same like 1)

4) 3 1/3 = (3*3+1)/3= 10/3

=> 10/3 -5= (10- 3*5)/3= (10-15)/3= -5/3

5) -1/3 + 1/2= ((-1*2)+(1*3))/6 = (-2+3)/6= 1/6

What’s the answer???

**Answer:**

**Step-by-step explanation:**

PLZZZZ help it will mean a lot :)

3x = 18

Divide both sides by 3 and simplify

x=6

**Answer:**

**Step-by-step explanation:**

assuming that you need to **find the value of x**

3x = 18

-divide both sides by 3

3x**/3** = 18**/3**

-use the facts that 3/3 =1 and 18/3 = 3*6/3 = 6

**x = 6 **

Anyone know the answers 11 through 14?Please help me.I’m tired

**Answer:**

11. [tex]x^{5}[/tex]

12. 5*[tex]x^{2}[/tex]

13. x+21

14. 2x-8

**Step-by-step explanation:**

(1/2)^x=2^-x could anyone tell me why

**Answer:**

Anything to a negative power is always the reciprocal. An example might be 2⁻² can be written as 1/4

**Step-by-step explanation:**

How do you solve for LMN? I keep getting 15

**Answer:**

60°

**Step-by-step explanation:**

90° = 6x

15° = x

60° = 4x

**Answer:**

60

**Step-by-step explanation:**

We know that LMO = 90

2x+4x = 90

6x = 90

Divide by 6

6x/6 = 90/6

x = 15

We want to find LMN = 4x = 4*15 = 60

Donna cut a wire into 7 equal pieces. The wire was originally 9.52 meters long. How long is each piece?

**Answer:**

1.36

**Step-by-step explanation:**

9.52/7

1.36 is the length of one of the 7 equal pieces

Practice

1. Hyatt Home Improvement uses H-shaped tile Design 1 Design 2

Design 3

designs on their buildings, advertisements, and

vehicles. The designs they use follow a specific

pattern. The first three designs are shown.

a. Describe the pattern in the designs.

b. Write two different expressions to represent

the number of tiles used in Design n. Use

algebraic properties to prove the two expressions are equivalent.

c. Explain how you could use technology to prove the two expressions in part (b)

are equivalent.

d. Create a table that displays the number of tiles used in each of the first 6 designs.

e. Create a graph of the data points in your table on the coordinate plane shown. Draw a smooth

curve to connect the points.

f. Do all of the points on the smooth curve make sense in terms of the problem situation? Explain

your reasoning.

g. Describe the pattern as linear, exponential, quadratic, or none of these. Explain your reasoning.

h. The owner of Hyatt Home Improvement wants to put one of their designs on an empty

rectangular sign in front of their headquarters. The empty sign is 10 feet tall and 12 feet wide. If he

**Patterns **are **set of rules **that **guide **the **creation of a dataset**. The observation from the first three designs are as follows:

The pattern

The **first three design **show that, as the **design number increases **(i.e. 1, 2, 3), the **number of tiles **used **also increases **(i.e. 7, 12, 19)

The expressions for the number of tiles

The **design number **and the **number of tiles **is represented as follows

[tex]1 \to 7[/tex]

[tex]2 \to 12[/tex]

[tex]3 \to 19[/tex]

From the **designs**, we observe that some **tiles are at the middle**, while **other tiles are at the sides**.

**Design 1 **has **1 tile **at the **center **and **6 tiles **at **either sides.**

So, we have:

[tex]1 \to 1 + 6[/tex]

[tex]2 \to 4 + 8[/tex]

[tex]3 \to 9 + 10[/tex]

Expand

[tex]1 \to 1^2 + 6 \to 1^2 + 2 \times 3 \to 1^2 + 2 \times (1 + 2)[/tex]

[tex]2 \to 2^2 + 8 \to 2^2 + 2 \times 4 \to 2^2 + 2 \times (2 + 2)[/tex]

[tex]3 \to 3^2 + 10 \to 3^2 + 2 \times 5 \to 3^2 + 2 \times (3 + 2)[/tex]

Notice the **pattern,**

The **number of tiles **in **design n** will be:

[tex]Tiles = n^2 + 2 \times (n + 2)[/tex]

Open bracket

[tex]Tiles = n^2 + 2n + 4[/tex]

Hence, the **expressions **for **number of tiles **in **design n **are:

[tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]

Technology to prove that both expressions are equivalent

To prove that [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] are **equivalent using technology, **the **graphs **of [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] can be **plotted **and then **compared**

The table and graph for the first 6 designs

The **table entry **for the first **6 designs **is calculated as follows:

[tex]n = 1\ \ \ \ \ Tiles = 1^2 + 2 \times 1 + 4 = 7[/tex]

[tex]n = 2\ \ \ \ \ Tiles = 2^2 + 2 \times 2 + 4 = 12[/tex]

[tex]n = 3\ \ \ \ \ Tiles = 3^2 + 2 \times 3 + 4 = 19[/tex]

[tex]n = 4\ \ \ \ \ Tiles = 4^2 + 2 \times 4 + 4 = 28[/tex]

[tex]n = 5\ \ \ \ \ Tiles = 5^2 + 2 \times 5 + 4 = 39[/tex]

[tex]n = 6\ \ \ \ \ Tiles = 6^2 + 2 \times 6 + 4 = 52[/tex]

So, we have:

[tex]\begin{array}{cc}Design & {Tiles} & {1} & {7} & {2} & {12} & 3 & {19} & {4} & {28} & {5} & {39}& {6} & {52} \ \end{array}[/tex]

See attachment for the graph of the above table

All the **points **on the **curve make sense **in this scenario because **all values **are **positive**.

The pattern type

We have:

[tex]Tiles = n^2 + 2n + 4[/tex]

When an **equation **has **a degree of 2**, the equation is **quadratic**.

Hence, the **pattern **is **quadratic**.

The largest design that an empty sign of 10ft by 12ft can contain.

From the first three designs:

The number of tiles on a complete row and column are always the same.

Design 1 has 3 tiles in its complete row and column

Design 2 has 4 tiles in its complete row and column

Design 3 has 5 tiles in its complete row and column

The relationship between the **design number (d)** and the **number of complete tiles (t)** is:

[tex]d = t - 2[/tex]

For the **10ft by 12ft empty sign**

[tex]t = 10[/tex] because [tex]10 < 12[/tex]

So, we have:

[tex]d = t - 2[/tex]

[tex]d = 10 - 2[/tex]

[tex]d = 8[/tex]

Hence, the **largest design number **is **design 8**

Read more about **patterns **at:

https://brainly.com/question/13382968

5. After paying a tax of 8 palsa per rupee a man saves Rs. 18,400 per month Then his monthly income is 2 Points) 20,000

**Answer:**

92% of Income is Rs 18400

**Step-by-step explanation:**

I = 18400/.92 = Rs 20000

1. Your school's Key Club decided to sell fruit baskets to raise

money for a local charity. The club sold a total of 80 fruit

baskets. There were three different types of fruit baskets.

Small fruit baskets sold for $15.75 each, medium fruit baskets

sold for $25 each, and large fruit baskets sold for $32.50

each. The Key Club took in a total of 52086.25. and they sold

twice as many large baskets as small baskets.

a. Formulate a system of three linear equations in three

variables to represent this problem situation. Be sure to

define your variables.

b. Solve the system of three linear equations using

technology with matrices. Write your answer in terms of

the problem situation.

c. Describe the solution in terms of the problem situation.

2. Is it always easier to solve a system of linear equations using

matrices? Explain your reasoning.

Let the small , medium and large baskets be denoted by s,m & l

Formulating the equations

**s+m+l= **80---------** equation1**

**$15.75s+ $25 m + $32.5l = **$2086.25------**equation2**

**2s=l**--------**-equation 3**

Using the technology **s=15, m=35 and l= 30**

**15+35+30= **80--------- equation1

$15.75**(15)+ **$25** (35)+ **$32.5** (30) = **$2086.25------equation2

2**(15)=(30)**---------equation 3

Yes because **multiple variables** can be easily calculated through** matrices** using **technology**

In **Matrix form**

[tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]** **[tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex] **= **[tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Let A= [tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]

**Z= **[tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]

B **= **[tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Z= A⁻¹ B

A⁻¹= A mod/ det A

det A= -1

Using the technology **s=15, m=35 and l= 30**

**15 small baskets,**

**35 medium baskets**

**30 large baskets **were sold.

Part C:

**15+35+30= **80--------- equation1

$15.75**(15)+ **$25** (35)+ **$32.5** (30) = **$2086.25------equation2

236.25+ 875+ 975=$2086.25

$2086.25=$2086.25

2**(15)=(30)**---------equation 3

Answer 2:

Yes because multiple variables can be easily calculated using technology.

**N.B** There is a typing error in question its $2086.25 not 52086.25

factors of 15,17 ,26 & 80

**Answer:**

Factors of 15: 1, 3, 5 and 15.

Factors of 17: 1 and 17.

Factors of 26: 1, 2, 13 and 26

Factors of 80: 1, 2, 4, 8, 10, 20, 40, and 80.

Actually you can find all the answers in the Internet.

Solve for x: 4x + 1/2 (2x + 4) > 12

( 9th grade Algebra 1)

**Answer:**

x > 2

**Step-by-step explanation:**

Distribute and cross-simplify 1/2 with parenthesis

4x + x + 2 > 12

Solve left side

5x + 2 > 12

Subtract 2 from both sides

5x > 10

Divide both sides by 5

x > 2

Someone answer this

**Answer:**

1st box is "a 90°clockwise rotation about the origin

2nd box is "a 180° rotation about the origin

3rd box is "a 90° counterclockwise rotation about the origin

[tex]\frac{7}{8} + \frac{3}{4}[/tex]

**Answer:**

**Step-by-step explanation:**

7/8 + 3/4

7/8 + 6/8

13/8 = 1 5/8

Please help ASAP 17x - 4(4x - 3)

**Step-by-step explanation:**

17x-4(4x-4)

17x-16x+8

X+8

**Answer:**

x + 12

**Step-by-step explanation:**

17x - 4(4x - 3)

17x - 16x + 12

x + 12

hewo um what is 1804 divided by 12 and has anyone seen my hacker friend.

**Answer:**

150.333

**Step-by-step explanation:**

The three is repeated

a triangle has a width of 4 cm and perimeter of 26 cm. find the length

**Answer:**

9 ufh fcnbscbhbvxdfhbbhukkkocd

I needddddd heelllpppp pleaseeee

**Answer:**

3/2

**Step-by-step explanation:**

Csc(theta) = 1/Sin(theta)

So we have to find the side opposite theta.

a = 3*sqrt(5)

b = ?

c = 9

a^2 + b^2 = c^2

(3sqrt(5)) ^2 + b^2 = 9^2

9*5 + b^2 = 81

b^2 = 81 = 45

b^2 = 36

sqrt(b^2) = sqrt(36)

b = 6

Sin(theta) = 6/9

Csc(theta) = 1 / sin(theta) = 9/6

Csc(theta = 3/2

Problem 3

Answer: 3/2=====================================================

Explanation:

Use the pythagorean theorem to find the length of the missing side.

[tex]a^2 + b^2 = c^2\\\\a^2 + (3\sqrt{5})^2 = 9^2\\\\a^2+3^2*(\sqrt{5})^2 = 9^2\\\\a^2 + 9(5) = 81\\\\a^2 + 45 = 81\\\\a^2 = 81-45\\\\a^2 = 36\\\\a = \sqrt{36}\\\\a = 6\\\\[/tex]

This is the length of the missing vertical side. This side is opposite the angle theta.

[tex]\csc = \text{cosecant}\\\\\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{9}{6}\\\\\csc(\theta) = \frac{3*3}{3*2}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]

Alternatively, you can compute it like this

[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{6}{9}\\\\\sin(\theta) = \frac{2}{3}\\\\\csc(\theta) = \frac{1}{\sin(\theta)}\\\\\csc(\theta) = 1 \div \sin(\theta)\\\\\csc(\theta) = 1 \div \frac{2}{3}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]

30, 32, and 34 Please! I WILL GIVE BRAINLIEST

**Answer:**

see explanation

**Step-by-step explanation:**

Since AL bisects ∠ KAT then ∠ 1 = ∠ 2

(30)

7x + 3 = 6x + 7 ( subtract 6x from both sides )

x + 3 = 7 ( subtract 3 from both sides )

x = 4

(32)

SAT is a straight line , then

∠ 1 + ∠ 2 + ∠ 3 = 180° , then

x + x + 4x = 180

6x = 180 ( divide both sides by 6 )

x = 30

(34)

Similar to (32)

x + 12 + x + 12 + 6x - 20 = 180 , that is

8x + 4 = 180 ( subtract 4 from both sides )

8x = 176 ( divide both sides by 8 )

x = 22

**Answer:**

30) x= 4

32) x=30

33) x=22

**Step-by-step explanation:**

All step by step explainations are in pic below

Select all the expressions that are equivalent to 3^2 · 3 ^(-6)

**Answer:**

[tex] {3}^{2} \times {3}^{ - 6} \\ = {3}^{2 + ( - 6)} \\ = {3}^{2 - 6} \\ = {3}^{ - 4} [/tex]

Simplify the answer has to be a positive exponent Please help!

5^4 /5

Use the exponent rule x^a/x^b = x^a-b

5^4/5 = 5^4-1 = 5^3

Answer as a positive exponent is 5^3

where can i find the answers?

**Answer:**

I don't know where can you find this question's answer.

A $40.00 shirt is on sale for 35% off. How much will I save?

**Answer:**

You will save $14.00

**Step-by-step explanation:**

If the shirt is 35% off, it means that you will effectively save 35% of the price. 35% of the price in this case is 35% of 40, which is $14.00

a + 1 = 3000

a = ?

This is my first question, I know the answer. I just wanna test the platform.

**Answer:**

2999

**Step-by-step explanation:**

a + 1 = 3000

=> **Subtracting 1 from both sides,**

=> a + 1 - 1 = 3000 - 1

=> **a = 2999**

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