Some car jacks are constructed like a collapsed rhombus. When used to raise a​ car, the rhombus is easily seen. If the sides of the rhombus are 15​", what is the maximum length of the​ shaft?

Answer:

The first graph , y=x³ is a cubic function graph and that of the second graph, y = 3(x – 4)3 + 7 is a linear graph.

Step-by-step explanation:

The graph of y=x³ is a cubic function graph where the x term has the highest power of x as 3. As attached in the first graph.

The second graph for y = 3(x – 4)3 + 7. is a linear graph that can be written as;

y=(3x-12)3 +7

y=9x-36 + 7

y=9x - 29

which is a linear graph with a slope of 9 and cuts the y-axis at -29 as shown in the second attached graph.

All of the aforementioned represent the same function except: C. {(0, 1), (2, 3), (4, 5), (7, 8)}.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

In Mathematics, there are different types of function and these include the following;

From the first mapping, we can logically deduce the following:

when x = 1, y = 0

y = x - 1

0 = 1 - 1

when x = 3, y = 2

y = x - 1

2 = 3 - 1

when x = 5, y = 4

y = x - 1

4 = 5 - 1

when x = 8, y = 7

y = x - 1

7 = 8 - 1

For the ordered pair, we have:

when x = 0, y = 1

y = x + 1

1 = 0 + 1

when x = 2, y = 3

y = x + 1

3 = 2 + 1

when x = 4, y = 5

y = x + 1

5 = 4 + 1

Therefore, the function for these ordered pairs is equal to y = x + 1.

For the table of value, we have:

when x = 1, y = 0

y = x - 1

0 = 1 - 1

In this context, we can reasonably infer and logically deduce that all of the aforementioned represent the same function except {(0, 1), (2, 3), (4, 5), (7, 8)}.

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Answer: I hope this helps

You can use LL, HL and SAS theorems to prove that triangles are congruent.

The right triangle leg leg congruence Theorem (LL) is a theorem for right triangles that says if the two corresponding shorter legs of two right triangles are congruent, then the two triangles are congruent.

The hypotenuse leg Theorem (HL) states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

The side angle side Postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Answer: correct choices are B, C and E

b.LL

c. HL

e.SAS

Answer:

LL, SAS and, HL

Step-by-step explanation:

Answer:

a

   This data does not  support the Minister of Commerce or Amnesty

International

b

Another issue that is  important when evaluating this data is the judicial system of the Turgistan

Step-by-step explanation:

From the question we are told that

  The  sample size is  n  =  500

 The  number of political  prisoners is  k  =  90

  The  level of significance is  [tex]\alpha = 0.05[/tex]

        The null hypothesis  is  [tex]H_o  :  p =  \frac{1}{3} =  0.33[/tex]

        The alternative hypothesis is  [tex]H_a : p \ne  0.33[/tex]

Generally the sample proportion is mathematically represented as

      [tex]\^ p  =  \frac{k}{n}[/tex]

=>   [tex]\^ p  =  \frac{90}{500}[/tex]

=>   [tex]\^ p  =  0.18[/tex]

 Generally the test statistics is mathematically represented as

    [tex]z =  \frac{\^ p  -  p}{\sqrt{\frac{p (1- p)}{n} } }[/tex]

=>  [tex]z =  \frac{0.18  -  0.40}{\sqrt{\frac{0.33 (1- 0.33)}{500} } }[/tex]      

=>  [tex]z = -7.1429 [/tex]

Generally the p-value is mathematically represented as

      [tex]p-value  =  2 *  P( Z  >  -7.1429)[/tex]

From the normally distribution table

    The  probability of [tex]P( Z  >  -7.1429)  =  0[/tex]

=>     [tex]p-value  =  2 * 0[/tex]

=>     [tex]p-value  =  0[/tex]  

From the value obtained we see that the [tex]p-value  <  \alpha[/tex] hence the decision rule is

  Reject the null hypothesis

The conclusion is  

  There is no sufficient evidence to conclude that  this data does support the Minister of Commerce or Amnesty International

jj

Answer:

= 2x + 1

Step-by-step explanation:

The number who needs to be separated into a ratio = 72

Total number of parts = 3 + 4 + 5

= 12 parts

Each part = 72 ÷ 12

= 6

Then 3 parts = 3 × 6 = 18

4 parts = 4 × 6 = 24

5 parts = 5 × 6 = 30

Then , the ratio will be , 18 : 24 : 30

Therefore , 72 in the ratio 3:4:5 will be = 18 : 24 : 30 .

Answer:

887.304, 887.043, 88.403

Greatest         to         least

Answer:

In step 1 the y-intercept should be plotted at (0,-6)

Step-by-step explanation:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Since the formula is y = -3/4x -6

We just insert a 0 insted of the "x"

y = -3/4(0) -6

y=0-6

y=6

So the y-intercept sould be placed in (0,-6)

That's what he did wrong when graphing the equation.

Answer:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Step-by-step explanation:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Since the formula is y = -3/4x -6

We just insert a 0 insted of the "x"

y = -3/4(0) -6

y=0-6

y=6

So the y-intercept sould be placed in (0,-6)

That's what he did wrong when graphing the equation.

Answer:

D, F

Step-by-step explanation:

rational numbers

real numbers

Answer:

Rounded to the nearest hundred, Ms. Sanshes had about 200 more tokens than Mr. Brown

Step-by-step explanation:

567=600 (rounded)

432=400 (rounded)

600-400=200 tokens

Answer:

Step-by-step explanation:

OVER A 1-YEAR PERIOD, it is estimated that

17 + 7 + 4 = 28% of new cars will need repairs (ranging from one repair to infinity number of repairs)

This means that the remaining percentage of new cars will NOT need any repairs over the 1-year period.

This percentage is 100 - 28 = 72%

The question is reframed thus: If you bought 2 cars from this company, what is the probability that none of them will need repair over the 1-year period?

What is the probability that none of the 2 cars falls within the 28% of cars which will need repair in the 1-year period?

72% = 72/100 = 0.72

this is the probability that a single car will not need repairs

the probability that 2 cars from this company will not need repair over a year is  0.72 ÷ 2 = 0.36

Answer:

yes and there a r godd film?

Step-by-step explanation:

Answer:

A sphere with a radius of 6 cm will have a surface area of about 452.39

Step-by-step explanation:

Answer: 452.39 cm^2.

SA = 4πr^2 = 4π(6)^2 ≅ 452.39 cm^2.

∴ the surface area of the sphere is around 452.39 cm^2.

Step-by-step explanation:

ans is 7.62

1 inch =2.54cm

2.54 multiplied by 3=7.62

Answer:

FV= $5,325.8

Step-by-step explanation:

Giving the following information:

Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.

To calculate the future value, we need to use the following formula:

FV= (P*r*t) + P

P= $5,000

r= 0.0434/12= 0.00362

t= 18

FV= [(5,000*0.00362)*18] + 5,000

FV= $5,325.8

The value of the CD at the end of its term is $39,060

Given:

Time = 18 month

Principal = $5000

Interest rate = 434%

Future value = ?

Future value = Principal × Rate × Time

= 5,000 × 434% × 18

= 5000 × 434/100 × 18

= 5000 × 4.34 × 18

= 39,060

Therefore, the value of the CD at the end of its term is $39,060

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He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

Answer:

yes i can help you

Step-by-step explanation:

Answer:

The height is the water wheel diameter so if you have 9' of head but are only running a 6 foot diameter wheel the height for this calculation is 6 feet. Most people use 12v batteries to store their electricity and an inverter

Step-by-step explanation:

Sorry if I cant help but that's number 2 answer.

Answer:9

Step-by-step explanation: -2x2-3x-2+7=9

Answer:

9

Step-by-step explanation:

(-2x2) - (3x-2) + 7 = 9

One of the ten bills

Answer:

6645.73

Step-by-step explanation: 6097 multiplied by .09= 548.73, then you add that to 6097 wich gives you a total of 6645.73

Answer:

x:5

Step-by-step explanation:

The value of 'x' in the solution set is 5 Option D

From the equation

8x -6 > 12 + 2x

Collect like terms

8x - 2x >  12 + 6

6 x > 18

Make 'x' subject of formula

x > 18/6

x >  3

If x is greater than 3, then x is 5

Therefore, the value of 'x' in the solution set is 5. Option D

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Answer:

11,13,17,19

Step-by-step explanation:

Answer:

11 , 13 , 17 and 19

Step-by-step explanation:

good luck :)

is multiplication of 258 into 34 was incorrect the answer to 138 into 34 was 8772 so on adding 774 to 8772 it will be 9546

Step-by-step explanation:

Answer C)

Explanation:

MN + NP = MP

MP = 39

Therefore, 4(x + 5) + 2x + 1= MP

So, 4(x + 5) + 2x + 1= 39

(4x + 20) + 2x +1 = 39

So, (4x + 2x) + (20 + 1) = 39

6x + 21 = 39

Addition changes to Subtraction

So, 6x = 39 - 21

6x = 18

Multiplication changes to Division

x= 18/6

x=3

Therefore MN = 4(x + 5)

So, 4(3 + 5) = 4(8)

4(8) = 32

Therefore, MN = 32

Hope this helps!

Answer:

32

Step-by-step explanation:

usatestprep answer

Answer:10x-510

Step-by-step explanation:

math

Answer:

y-2x -8

Step-by-step explanation:

your jus gonna right it back because it's parallel which means it's the same thing.