For what value of a is the equation: (x + 7)2 = (x − 7)2 + ax an identity? (An identity is an equation in which any number is solution. For example, x + 3 = 3 + x is an identity.)

im pretty sure that it is

i

Answer:

i

Step-by-step explanation:

[tex] \huge {i}^{37} \\ \huge= {i}^{36} \times i \\ \huge = ( {i}^{2})^{18} \times i \\\huge = ( - 1) ^{18} \times i \\ \huge = 1 \times i \\ \huge = i \\ \\\huge \therefore {i}^{37} = i[/tex]

Because both the x and y variables are associate with a value, you don’t just add 3x and 2x.

You have:

3x^5y^8 + 2x^5y^7

Apply the exponent rule a^b+c = a^ba^c

This means x^5y^8 = x^5y^7y

Now you have:

3x^5y^7y + 2x^5y^7

Since they both now have an x^5y^7 in them factor the out of both:

When you take that out it’d both numbers you are left with 3y + 2

The final answer is: X^5y^7(3y +2)

Answer:

Step-by-step explanation:

[tex] \mathsf{ \frac{x}{4} = 2}[/tex]

Apply cross product property

[tex] \mathsf{x \times 1 = 2 \times 4}[/tex]

Calculate

[tex] \mathsf{x = 8}[/tex]

Hope I helped!

Best regards!

Answer:

[tex] \frac{x}{4} = 2[/tex]

X=2

Step-by-step explanation:

4•x/4=2•4

X=8

Answer:

-3.5

Step-by-step explanation:

An example is -3.5.

Answer:

Actually It Does Lx-21/x-2 you have to find out what the Letter x stands for and what the letter L stands For for you to be able to find the answer

Step-by-step explanation:

Answer:

$1

Step-by-step explanation:

5 cans of corn  --  5 * $1 = $5

4 cases of water  --  4 * $4 = $16

4 pounds of meat  --  4 * $2 = $8

Paid with  --  $30

Change required  --  30 - 8 - 16 - 5 = $1

John's mom will get $13 change back from the grocery shopkeeper.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

5 cans of corn ⇒  $1.00/can

So cost  5 × 1 = $5

4 cases of water ⇒ $4.00 (remember not given "each")

So cost ⇒ $4

4 pounds of meat ⇒ $2.00 per pound

So cost 4 × 2 = $8

Now,

Total cost = 5 + 4 + 8 = $17

So,

Change = 30 - 17 = $13

Hence "John's mom will get $13 change back from the grocery shopkeeper".

To learn more about the arithmetic operators,

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Answer:

[tex]Volume = 4492.125\ unit^3[/tex]

Step-by-step explanation:

Given

Uniform Distribution X

X: 15 to 18

Required

Determine the expected volume

Since, X is uniformly distributed; We have to first determine the expected value of X as follows;

[tex]Mean(X) = \frac{b + a}{2}[/tex]

Where b = 18 and a = 15

[tex]Mean(X) = \frac{18 + 15}{2}[/tex]

[tex]Mean(X) = \frac{33}{2}[/tex]

[tex]Mean(X) = 16.5[/tex]

Since the box is a square box, the volume is as follows;

[tex]Volume = 16.5 * 16.5 * 16.5[/tex]

[tex]Volume = 4492.125\ unit^3[/tex]

Hence, the expected volume is 4492.125 unit³

Answer:

0.62

Step-by-step explanation:

Probability of rain = 34% = 0.34

Probability of wind = 38% = 0.38

Probability of wind and rain = 10% = 0.1

P(wind U rain) = p(wind) + p(rain) - p(both)

= 0.34 + 0.38 -1

= 0.62

The probability that it would be rainy or sunny in any given day in April is 62%

Answer: 3

Step-by-step explanation:

Given: A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over).

Here,

Total classes as per gender: k = 2 (male female)

Total classes as per age : m = 4  (under 20, 20−29, 30−39, and 40 or over)

Now , the degree of freedom = (k-1) ( m-1)

=  (2-1) (4-1)

= (1)(3)

= 3

Hence, there are 3 degree of freedom.

Answer:

Step-by-step explanation:

[tex] \sf{6x - 7(4 - 5)}[/tex]

Distribute 7 through the parentheses

[tex] \sf{6x - 28 + 35}[/tex]

Calculate

[tex] \sf{6x + 7}[/tex]

Hope I helped!

Best regards!!

Answer:

a.   y = 6

b.  RS = 44

    ST = 37

    RT = 81

Step-by-step explanation:

RS = 7y + 2

ST = 5y + 7

RT = 14y - 3

find:

a.  y

b.  RS, ST, RT

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

12y + 9 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

-----------------------------------

b.

RS = 7(6) + 2

RS = 44

ST = 5(6) + 7

ST = 37

RT = 14(6) - 3

RT = 81

Answer:

a.   y = 6

b.  RS = 44;     ST = 37;     RT = 81

Step-by-step explanation:

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

plug in values to solve RS,  ST,  RT

RS = 7(6) + 2 = 44

ST = 5(6) + 7  = 37

RT = 14(6) - 3  = 81

Let

[tex]A=B=\begin{bmatrix}0&1\\1&0\end{bmatrix}[/tex]

Then

[tex]AB=BA=\begin{bmatrix}0&1\\1&0\end{bmatrix}^2=\begin{bmatrix}1&0\\0&1\end{bmatrix}[/tex]

Answer:

400000

Step-by-step explanation:

Hi

1 mile = 5280 feet  

at  90 mile per hour, you have  5280 *90  = 475 200 feets  

an hour is  60*60 = 3600 second  

so in 1 second the train travel  :  475 200 /3600 = 4752 /36 = 132 feets

so in 10 seconds  :  132*10 = 1320 feets.

The feet train travel in 10 seconds is  1,320 feet .

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

Train traveling at a constant speed = 90 miles per hour

1 mile = 5280 feet  

By using unitary method:

feet does it travel in 1 seconds = [tex]\frac{90*5280}{60*60}[/tex]  

feet does it travel in 10 seconds = [tex]\frac{90*5280}{60*60} * 10[/tex]

                                                      = 1,320 feet

Hence, the feet train travel in 10 seconds is  1,320 feet .

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Answer:

60°

Step-by-step explanation:

Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.

Therefore,

m∠FBC + m∠XCB = 180°..(By interior angle property)

m∠FBC + 130° = 180°

m∠FBC = 180° - 130°

m∠FBC = 50°....(1)

Next,

m∠ABF = m∠BAY... (Alternate angles)

m∠ABC + m∠FBC = 110°

(since, m∠ABF = m∠ABC + m∠FBC)

m∠ABC + 50° = 110° (From equation 1)

m∠ABC = 110° - 50°

[tex] \huge \purple {\boxed {m\angle ABC = 60\degree}} [/tex]

Answer:

z= 3.63

z for  significance level = 0.05 is ± 1.645

Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

H0: p= 0.42     against Ha : p> 0.42 One tailed test

From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for  significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

Answer:

Step-by-step explanation:

from focus

[tex]\sqrt{(x+3)^2+(y-2)^2}[/tex]

from directrix

|y-4|

Answer:

3 points

Step-by-step explanation:

If you do the vertical line test, there are 3 points that need to be removed, as there can only be 1 x value for every y value in order for it to be a function.

Answer:

3 points

Step-by-step explanation:

if you do the vertical line check you can see that there are 3 lines with 2 points on one line vertically. for it to be a function it would need to only have one so you would need to remove one from each line.

Step-by-step explanation:

5y = ZW - ZC

5y = Z(W - C)

5y / W- C = Z(W -C) / W - C

Z = 5y / W - C

Answer:

Step-by-step explanation:

Divide the length of the paper strip into four equal sections of 1 inch each.

Mark the left end of the strip '0' and the right end '4.'  Label the '1,' '2,' '3' points.

Between these marks, label the strip as follows:

'1/4,' '1/2,' '3/4,' 1 (already marked), '1 1/4,' '1 1/2,' and so on.

Next time, please be sure to share ALL parts of the question with which you want help.  Thank you.

Conditional statements are statements that are either true or false, based on certain conditions.

The value of c is true

The condition is given as:

If A and B, then C

Where:

[tex]\mathbf{A = false}[/tex]

[tex]\mathbf{B = false}[/tex]

The reverse means that:

If not A and not B, then C

This means that:

[tex]\mathbf{not\ A = not\ false}[/tex]

[tex]\mathbf{not\ B = not\ false}[/tex]

So, we have:

[tex]\mathbf{not\ A = true}[/tex]

[tex]\mathbf{not\ B = true}[/tex]

For an and condition to be true, both values must be true.

So, we have:

If not A and not B, then C

Substitute known values

If true and true, then C

Because both values are true, then the value of C will also be true

Read more about conditional statements at:

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Answer:

Teachers are the one that teach the doctors how to do their profession. They are both critical parts of society and should both be respected. Though doctors work with patients and determine what problems they have and how to help solve them. They work on treatments and can reassure patients in tough situations. They only goal is to help others and keep everyone has happy and healthy as possible.

Answer:

C            Mark me as brainliest!!!

Step-by-step explanation:

Answer: 91 students ride the bus

For this problem, you can set up a proportion where:

w = those who walk to school

r = those who ride the bus to school

[tex] \frac{w}{r} = \frac{w}{r} [/tex]

Then include the ratio (1:7) as a fraction (1/7) and the value that is known (13).

[tex] \frac{1}{7} = \frac{13}{x} [/tex]

Cross multiply (create an "x").

[tex]1 \times x = 7 \times 13[/tex]

[tex]x = 91[/tex]

Answer:

Kevin mowed 4 lawns.

Step-by-step explanation:

If you take 12, and divide it by 3, you get 4. Which is how many lawns Kevin mowed.

(I'm not sure about the boxes because there wasnt a picture, but good luck!)

Answer:

15, 22, 88

Step-by-step explanation:

I assume you mean the second number is 7 more than the first.  Write the system of equations:

x + y + z = 125

y = x + 7

z = 4y

Substitute the third equation into the first.

x + y + 4y = 125

x + 5y = 125

Substitute the second equation.

x + 5(x + 7) = 125

6x + 35 = 125

6x = 90

x = 15

Solve for the other variables.

y = 22

z = 88

Answer:

multiply the cost by the total number of liters needed: $1.45/L *60L = $87

Answer:

Please comment on this answer what the real question is.

Step-by-step explanation:

Answer:

My answer is option C.

Step-by-step explanation:

Since you cannot eliminate it immediately then you will need to multiply it by each of the number to make them equal that means you will multiply the first equation by any number in the second equation that is you can use maybe -4 or 2 or 1. and then do the same to the other equation to make them equal...if you use 2 in the second equation for the first equation and you use 7 in the first equation for the second equation the you will make them equal which makes them easier to eliminate and then when you find y which is y=1/22 then you can substitute it into any of the equation and find your x which is x=13/11.

Answer: option c

Step-by-step explanation:

Answer:

Seven and three million ten thousand and six.

Step-by-step explanation:

703 is in the millions place.

010 is in the thousands place.

and 006 is in the hundredths place.

hope this helps you!