Solve for x: 7x + 7 = 21.

Answer:

A linear sequence

Step-by-step explanation:

In this sequence, the difference between the first two terms is  70−35=35 , we can check this is correct by finding the difference between the 2nd and 3rd terms, which is  105−70=35 . This means the first difference is 35.

The first difference gives us the number we multiply  n  by, or the quotient of n.

This means we get the nth term as  35n+c .

To get  c , we check the difference between the first term and the number we get when we multiply  n  by  35 , when  n=1 .

This gives us:

35n+c=35  

c=35−35n  

c=35−35(1)  

c=35−35  

c=0  

Once we have  c , we get the nth term of  35,70,105  to be  35n .

Answer:

D

Step-by-step explanation: 2 x square root of 2 is 2.8284.......

Answer:

jf

Step-by-step explanation:

f

Answer: 4

Step-by-step explanation: 4 because 200 divided by 50 is 4. The ratio is 4

Answer:

Option A and Option D are correct

Hey There!!

Restrictions are that 'a' and 'b' cannot be zero. We could write [tex]a \ne 0[/tex] and [tex]b \ne 0[/tex] as shorthand.

The restrictions are put in place to ensure that you can't divide by zero.

=========================================

Explanation:

The coefficients -12 and 4 divide to -12/4 = -3 which is the coefficient for the answer in the numerator.

The 'a' terms divide to (a^3)/(a^2) = a^(3-2) = a^1 = a. We subtract the exponents to simplify.

The b terms are handled in a similar manner to get (b^5)/(b^7) = b^(5-7) = b^(-2) = 1/(b^2)

Putting all three results together has us end up with (-3a)/(b^2) where neither 'a' nor b are zero to prevent a division by zero error. We cannot have 0 in the denominator.

Answer:

its 9

Step-by-step explanation:

I have  gotten it correct on ED

Answer:

the answer is 9

Step-by-step explanation:

I took the test edg 2020

Answer:

Height of building is 115.86 m.

Step-by-step explanation:

This is problem of proportion.

a:b = c:d

____________________________________________________________

height of pole = 3.3 m

length of shadow of pole = 1.36 m

ratio

height of pole: length of shadow of pole = 3.3 : 1.36

________________________________________________

let the height of building= x m

length of shadow of building= 47.75 m

ratio

height of building: length of shadow of building= x: 47.75

ratio in both the cases will be same

thus,

x/47.75 = 3.3 / 1.36

=> x = 3.3 / 1.36 * 47.75 = 115.86

Thus, height of building is 115.86 m.

Answer: (a) [tex]A = x^{2}-7x[/tex]

              (b) x = 12 or x = -5

              (c) Length = 12cm

                   Width = 5cm

Step-by-step explanation: Area of a rectangle is calculated as:

A = length*width

(a) If length = x,

width = x - 7

Then, equation is:

A = x(x - 7)

[tex]A = x^{2} - 7x[/tex]

(b) Solving for x:

[tex]A = x^{2} - 7x[/tex]

[tex]x^{2} - 7x = 60[/tex]

[tex]x^{2} - 7x - 60=0[/tex]

Using Bhaskara to solve equation:

[tex]x = \frac{7+\sqrt{(-7)^{2}-4.1.(-60)} }{2}[/tex]

[tex]x =\frac{7+\sqrt{289} }{2}[/tex]

[tex]x =\frac{7+17}{2}[/tex]

[tex]x_{1} = \frac{7+17}{2}[/tex] = 12

[tex]x_{2}=\frac{7-17}{2}[/tex] = -5

The quadratic equation gives two values for x: x = 12 or x = -5

(c) Dimensions are positive numbers, so the value of x used is x = 12.

As length is x:

length = 12cm

Width is 7 less than length:

width = x - 7

width = 5cm

The rectangle has length of 12cm and width of 5cm.

Answer:

All together she had a 18.1818182% raise but 18% raise rounded.

Step-by-step explanation:

First you need to find how much each stock increased.

So:

1700 to 2040

500 to 560

Add them.

1700 + 500 = 2200

2040 + 560 = 2600

Then find the raise. You can usally just find the amount for each percent or find the over all raise.

1% of 2200 is 22

400/22 = 18.18

Take a look at the image below.

Answer:

560x^3y^4.

Step-by-step explanation:

The (r+1)th term of (a + b)^r = nCr a^(n-r) b^r

We want the fifth term so r = 5 - 1 = 4:

(4 + 1)th term = 7C4 x^(7-4) (-2y)^4

= 35x^3 16y^4

= 560x^3y^4.

Answer: 5

Step-by-step explanation:

f(x)=3-x

f(-2)=3-(-2)

f(-2)=3+2

f(-2)=5

Hope this helps!! :)

Please let me know if you have any question

Answers:

[tex]\huge \boxed{T= \frac{P V}{n R} } \\ \\ \\ \\ \huge \boxed{W= \displaystyle \frac{1000C }{tc}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]P \cdot V = n \cdot R \cdot T[/tex]

Dividing both sides by n · R:

[tex]\displaystyle \frac{P \cdot V}{n \cdot R} =T[/tex]

[tex]\displaystyle C=\frac{Wtc }{1000}[/tex]

Multiplying both sides by 1000:

[tex]1000C=Wtc[/tex]

Dividing both sides by tc:

[tex]\displaystyle \frac{1000C }{tc}=W[/tex]

[tex]\rule[225]{225}{2}[/tex]

Is there an answer key?

Answer:

3.11111111

Step-by-step explanation:

solved all the equations and simplified the original problem. The answer for the third one was the same as the original problem.

Answer:

Can you please make it more spicific or add a picture

Step-by-step explanation:

Answer:

Data Set 1:

Mean= 5.73

Median= 5

Shape of distribution: skewed right

Data Set 2:

Mean: 5.27

Median: 6

Shape of distribution: Skewed left

Step-by-step explanation: Edmentum

The mean of Data set 1 is approximately 5.727 and the median is 5.

The mean of Data set 2 is approximately 5.273 and the median is 6.

The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.

For Data set 1:

The sum of all values in the dataset is:

5 + 8 + 9 + 6 + 3 + 2 + 10 + 8 + 5 + 4 + 3 = 63

The number of values in the dataset is 11.

The mean of the dataset is:

63 / 11 = 5.727 approx.

Sort the values in ascending order:

2, 3, 3, 4, 5, 5, 6, 8, 8, 9, 10

Since there are 11 values, the median is the middle value, which is 5.

Therefore, the mean of Data set 1 is approximately 5.727 and the median is 5.

The distribution of the dataset seems to be slightly skewed to the right.

For Data set 2:

The sum of all values in the dataset is:

8 + 7 + 3 + 2 + 4 + 6 + 2 + 7 + 4 + 9 + 6 = 58

The number of values in the dataset is 11.

The mean of the dataset is:

58 / 11 = 5.273 approx.

Sort the values in ascending order:

2, 2, 3, 4, 4, 6, 6, 7, 7, 8, 9

Since there are 11 values, the median is the middle value, which is 6.

Therefore, the mean of Data set 2 is approximately 5.273 and the median is 6.

The distribution of the dataset seems to be slightly skewed to the left.

Learn more about the median of data here:

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Answer:130(26).

Step-by-step explanation: It could basically be used to simplify 130(26) because if you multiply the number on the outside of the parentheses (13) with the numbers inside the parenthesis(10+2), you will get 130(26).

Answer:

Max is 9 feet above Brett.

Step-by-step explanation:

If you subtract how far Max is below the surface to how far Brett is below the surface you find the difference of how much more above Brett Max is.

This would be the mathematical process:

34-25=9

Max is 9 feet above Brett.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that Brett is 34 feet below the surface and Max is 25 feet below the surface.

Max is more than twice as deep below the surface as Brett,

Thus we can determine this difference by subtracting Max's depth from Brett's.

The mathematical solution would be as follows:

⇒ 34 - 25

⇒ 9

Hence, Max is 9 feet above Brett.

Learn more about Arithmetic operations here:

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Answer:

0

Step-by-step explanation:

So we have the function:

[tex]p(x)=(x-1)(x+1)[/tex]

To find p(1), substitute x for 1:

[tex]p(1)=((1)-1)((1)+1)\\[/tex]

Simplify:

[tex]p(1)=(0)(2)\\p(1)=0[/tex]

Thus, p(1) is 0.

The given equation is a circle with center = (0, 0) and radius = 4.

We compare the given equation with the standard form of a circle[tex](x-h)^2+(y-k)^2=r^2[/tex]

So, h = 0 , k = 0, [tex]r^2=16[/tex] or r = 4.

So the given equation is a circle with center = (0, 0) and radius = 4.

The graph is attached.

Learn more: https://brainly.com/question/8806877

Answer:

9/14

Step-by-step explanation:

to divide fractions flip the second fraction and then multiply

Answer:

9/14

Step-by-step explanation:

3/7 divided by 2/3 is equal to 3/7 times 3/2 which is 9/14

Answer:

length=80m

breadth=144m

hope it is helpful for you

Answer:

The numbers are 37, 39 and 41.

Step-by-step explanation:

Let the smallest number be [tex]x\\[/tex].

Then the other numbers will be [tex]x+2, x+4[/tex] (as they are consecutive odd numbers, their difference will be 2).

As per the given statement:

LHS(Left Hand Side) : Sum of five times the smaller number and twice the larger number.

i.e. five times the smaller number = [tex]5\times x[/tex]

twice the larger number = [tex]2 \times (x+4)[/tex]

Their sum:

The Left Hand Side becomes:

[tex]5x+2(x+4)[/tex]

RHS(Right Hand Side):

33 more than six times the median number:

i.e. [tex]6\times(x+2) +33[/tex]

Equating LHS and RHS:

[tex]5x+2(x+4) = 6x+12 +33\\\Rightarrow 7x+8=6x+47\\\Rightarrow \bold{x =37}[/tex]

Therefore, the numbers are 37, 39 and 41.

Answer:

this is a reapeting decimal

Step-by-step explanation:

Answer:

y = 17.5

Step-by-step explanation:

y is directly proportional to x means that

y = k.x

when y=5, x=2 --> k = y/x = 5/2

when x=7

y = k.x = 5/2 . 7 = 35/2 = 17.5

If y is directly proportional to x and y = 5 when x = 2 the value of y is 17.5

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that  y is directly proportional to x

y = 5 when x = 2

We need to find the value of y when x is 7

To find the value of y when x is 7 we have to construct a proportional formula as below

2/5=7/y

Apply cross multiplication

2y=35

Divide both sides by 2

y=35/2

y=17.5

Hence, If y is directly proportional to x and y = 5 when x = 2 the value of y is 17.5

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the line is vertical

hits the (0,0) but still on the y axis

Answer: x −x  3  +x  2  +623x−2

​

Step-by-step explanation:

We start with m < A + m < B = m < B + m < C as the given equation. We can rearrange the two terms on the right hand side to get m < A + m < B = m < C + m < B. From here, subtract m < B from both sides to end up with m < A = m < C. The angle B terms go away entirely. This rule I used was the subtraction property of equality. The next rule to use is the symmetric property to go from m < A = m < C to m < C = m < A. This rule is basically where we can flip the two sides of the equation and the equation is the same.

Answer:

x - 1

Step-by-step explanation:

x

x - 1

x - 2

x + (x - 1) + ( x - 2)

3x - 3

3(x - 1)

Average

3(x - 1)/3

x - 1