What is b in this equation? -16 = 0.2b

8. 1,1

9. 5,-5

10. 4, -3

11. 1536, 6144

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.

8. 1000, 100, 10,

In this sequence, each term is getting divided by 10,

So, next two terms are, 1, 1

9.  5, -5, 5, -5, ..

In this sequence, each term is alternating with a minus sign,

So, next two terms are 5, -5

10. 34, 27, 20, 13, ...

In this sequence, each term is i getting substracted by 7,

So, next two term  are 4, -3

11. 6, 24, 96, 384, ...

In this sequence each term is getting multiplied by 4,

So, next two terms are 1536 , 6144

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The correct choices for midpoints and bisector angles are listed below:

In this question we find four cases of determination of midpoints, that is, the point in a line segment such that the line segment is divided in two segments of equal length, and four cases of angle bisectors, that is, two angles of equal measure generated by a semirray.

First, we determine the location of the midpoints:

1) M(x, y) = 0.5 · (- 8, 9) + 0.5 · (- 9, 0)

M(x, y) = (- 8.5, 4.5)

M(x, y) = (- 8 1 / 2, 4 1 / 2)

2) M(x, y) = 0.5 · (1, 10) + 0.5 · (5, 5)

M(x, y) = (3, 7.5)

M(x, y) = (3, 7 1 / 2)

3) M(x, y) = 0.5 · (3, - 1) + 0.5 · (5, 3)

M(x, y) = (4, 1)

4) M(x, y) = 0.5 · (1, - 2) + 0.5 · (4, 5)

M(x, y) = (2.5, 1.5)

M(x, y) = (2 1 / 2, 1 1 / 2)

Bisector angles

5) The measure of the angle is 28°.

6) The measure of the angle is 38°.

7) The measure of the variable behind the angle is:

m ∠1 = m ∠2

2 · x + 3 = x + 11

x = 8

8) The measure of the variable behind the angle is:

m ∠ XVW = 2 · m ∠ 1

13 · x - 6 = 2 · (5 · x + 9)

13 · x - 6 = 10 · x + 18

3 · x = 24

x = 8

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Answer: a=5

Step-by-step explanation:

-4(7a+5)=-160

-28a-20=-160

-28a-20+20=-160+20

-28a=-140

a=5

Answer:

5.94

Step-by-step explanation:

75 - 69.06 = x

x = 5.94

Answer:

[tex] = { \tt{ {( {m}^{8} {n}^{4}) }^{4} }} \\ = { \tt{ {m}^{(8 \times 4)} \times {n}^{(4 \times 4)} }} \\ = { \boxed{ \boxed{ \tt{ {m}^{32} {n}^{16} }}}}[/tex]

Answer:

I would say A

Step-by-step explanation:

Because just because a quadrilateral has 4 congruent sides, does not make it a rhombus. Because a square has 4 congruent sides too.

The  the required value of function of the expression when x equal to 5 i.e f(5) is 167.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given expression is

f(x) =[tex]7x^{2} -8[/tex]

We have to find the value of f(5).

According to given question we have

f(x) =[tex]7x^{2} -8[/tex]

Put the value of x= 5  in the given function  we get,

f(x) =[tex]7x^{2} -8[/tex]

f(5) =[tex]7(5)^{2} -8[/tex]

After simplifying we get

f(5)=167

Therefore, the required value of function of the expression when x equal to 5 i.e f(5) is 167.

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Answer: f(-7)=41

Step-by-step explanation:

f(x) = x² + 2x + 6

f(-7)=(-7)² + 2(-7) + 6

f(-7)=49-14 + 6

f(-7)=35 + 6

f(-7)=41

Answer:

f(-7) = 41

Step-by-step explanation:

f(x) = x² + 2x + 6

In order to find f(-7) ,we just need to substitute x in the expression of the function f by -7.

Then

f(-7) = (-7)² + 2(-7) + 6

      = 49 - 14 + 6

      = 35 + 6

      = 41

Answer:

Step-by-step explanation:

prime numbers are numbers that are divisible by 1 and itself such as 2,3,5,7,11

there are also types of prime numbers which i recommend reading: https://en.wikipedia.org/wiki/Category:Classes_of_prime_numbers

The annual interest rate is 6.69%  for 3 years at compound interest.

What does the term "compound interest" mean?

[tex]A = P.( 1 + \frac{r}{n} )^{n.t}[/tex]

p = 5600

t = 3

I = 1200

n = 1

The interest  earned I is

I = [tex]P. ( 1 + \frac{r}{n} )^{n.t} - P[/tex]

1200 = [tex]5600 . ( 1 + \frac{r}{1} )^{1.3} - 5600[/tex]

[tex]1200 = 5600 .( 1 + r )^{3} - 5600[/tex]

[tex]\frac{1200}{5600} = ( 1 + r)^{3} - 1[/tex]

[tex]\frac{3}{14} = ( 1 + r )^{3} - 1\\[/tex]

[tex]\frac{17}{14} = ( 1 + r)^{3}[/tex]

Take the log base 10 of both sides

log17 - log14 = 3.log( 1 + r)

1.23045 - 1.14613 = 3.log( 1 + r)

3.log( 1 + r) = 0.084322

log( 1 + r) = 0.028107

1 + r = [tex]10^{0.28107}[/tex]

1 + r = 1.06686

r = 0.06686

The annual interest rate is 6.69%.

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Answer:

[tex]x=\sqrt{13}[/tex]

Step-by-step explanation:

[tex]x^{2} - 6 - 7 = 0 \\x^{2} =13\\x=\sqrt{13}[/tex]

Based on the values in b77 b81  function can automatically return the value in c77 is Min().

How do you return a value in Excel?

Reason:

The Excel MIN function returns the smallest numeric value in a range of values. Since $721 is the minimum out of the given 5 values, we use the MIN function.

There's no such function as smallest, lowest and Bottom in excel.

The floor function rounds a given number down to the nearest specified multiple.

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11011011, 11100, and 00000000 are the valid byte except  10022011.

In a system,  a byte is a  unit of data, that consists of 8 bits, where bits are the smallest unit of storage, bits are represented by just two digits 1 and 0, while bytes, it combination of bites, ranging from 0 and 1.In the given problem, 11011011, is a valid byte since it contains only 1 and 0 a total of 8 bits.11100 can be interpreted as 00011100 so, so it also consists of 8 bits of 1, and similarly =it is the same as 00000000,  whereas 10022011, consists of 2, which is not a valid bit.

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Hi!

Let's solve the equation for x!

[tex]\mid\bold{x-1\mid+5=2}[/tex]

Step 1:

[tex]\bold{\mid x-1\mid=-3}[/tex]

Now it's a little easier to solve! :')

Now, What does | | mean ?

Remember, It means "absolute value", and it's Always a positive number.

And this statement states: "take the absolute value of x-1, Whatever that happens to be, And it'll equal -3".

But that's impossible!

Therefore, this equation has no solutions.

I hope I helped you, have a wonderful day!

- stargazing [tex]\tiny\pmb{0.2}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{|x - 1| + 5 = 2}[/tex]

[tex]\large\text{Add }\rm{-5}\large\text{ to both sides: }[/tex]

[tex]\mathsf{|x - 1| + 5 - 5 = 2 - 5}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\mathsf{|x - 1| = 2 - 5}[/tex]

[tex]\mathsf{|x - 1| = -3}[/tex]

[tex]\large\text{Since, the absolute value is SMALLER than 0, we have no solutions}[/tex]

[tex]\huge\boxed{\text{Answer: }\mathsf{No\ solutions}}[/tex][tex]\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The Carson family sent 800 text messages last month.

Mrs. Carson sent 280 text messages

Ben sent 520 texts messages.

According to given question we have

Total text messages last month= 800

Mrs. Carson=

[tex]\frac{280}{800}*100\\ \\=35[/tex]

Ben

=

[tex]\frac{520}{800}*100\\ \\=65[/tex]

Therefore, the percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.

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The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

Firstly, refer to the image attached for the complete question.

Now,

Given: The value of the digit in the hundreds place in 653,841 is: 800

Now, the following cases arise for the given options:

Value of digit in the thousands place = 8000

=> 1/10 the value of the digit =  [tex]\frac{1}{10}(8000) = 800[/tex]

Value of digit in the thousands place = 9000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(9000) = 900[/tex]

Value of digit in the thousands place = 4000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(4000) = 400[/tex]

Value of digit in the thousands place = 7000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(7000) = 700[/tex]

Out of all the options, as shown above, only Option A satisfies the given condition.

Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

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Answer:

=45867

Step-by-step explanation:

[tex]\frac{\begin{matrix}\:\:&\textbf{\:\:}&7&9&9&13\\ \:\:&\textbf{7}&\linethrough{8}&\linethrough{10}&\linethrough{10}&\linethrough{3}\\ -&\textbf{3}&2&1&3&6\end{matrix}}{\begin{matrix}\:\:&\textbf{4}&5&8&6&7\end{matrix}}[/tex]

Answer: y = 6.75x + 6

Step-by-step explanation:

Answer:

y=6.75x+6

Step-by-step explanation:

y=mx+b

we can find it by doing [tex]\frac{y^{2}-y^{1} }{x^{2} -x^{1} }[/tex]

I'm going to choose 2,19.5 and 5,39.75

[tex]\frac{39.75-19.5}{5-2}[/tex] we get [tex]\frac{20.25}{3}[/tex] simplified to 6.75

now we know that the slope is 6.75 we can find the y-intercept by plugging in one pair, I'm going to put the 2,19.5 in

19.5=(6.75)2+b then multiply 6.75 by 2

19.5=13.5+b then subtract 13.5 from both sides to remove the 13.5 on B to separate it

6=b so the y-intercept is 6

Answer:

4ab = 5bc is the answer

Step-by-step explanation:

Answer:

12ab - 3bc.

Step-by-step explanation:

I am assuming you want to add these.

6ab + 8ba + (-2ab) + (-3bc)

= 6ab + 8ab - 2ab - 3bc

= 14ab - 2ab - 3bc

= 12ab - 3bc.

Answer:

127.3 feet

Step-by-step explanation:

Use Pythagorean Theorem which says

leg^2+leg^2=hyp^2

90^2+90^2= c^2

8100 +8100=c^2

16200 = c^2

sqrt16200 = c

c ~= 127.27922

Round to one decimal place.

c ~= 127.3 feet

OR, use the shortcut of Special Right Triangles, 45°-45°-90° where, the long side (hypotenuse) is the leg•sqrt2

The legs are 90.

So, the long side is 90•sqrt2

~= 127.27922

~= 127.3 feet

see image.

Percent cost of the total spent on

each equipment = 14.23%,fees=62.45% and transportation = 23.32%.

As given in the question,

Money spent on

Each equipment = $36

Fees = $158

Transportation = $59

Total money spent = $( 36 + 158 + 59)

                             = $253

Percent cost of the total spent on

Each equipment = (36/253) × 100

                          = 14.23%

Fees = (36/253) × 100

        = 62.45%

Transportation =(36/253) × 100

                       = 23.32%

Therefore, percent cost of the total spent on

each equipment = 14.23%,fees=62.45% and transportation = 23.32%.

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5 * 5 - 1 * 3

Since multiplication goes before addition in PEMDAS, we do the multiplication first.

25 - 3

2

Answer:

22

Step-by-step explanation:

5•5-1•3

(5 x 5) - (1 x 3)

25 - 3

22

You would multiply both separately and then subtract.

Remember PEMDAS

:)

Answer:

Step-by-step explanation:

4.50 divides by 5 than times the answer by 7

answer: I think the result is 12

Step-by-step explanation:

c(b+a)-a=

2(3+6)-6=

6+12-6= 12

[tex]x^2 + 18x=-79 \\ \\ x^2 + 18x+81=2 \\ \\ \boxed{(x+9)^2=2} \\ \\ x+9=\pm \sqrt 2 \\ \\ x=-9 \pm \sqrt{2} \\ \\ \boxed{x=-9+\sqrt{2}, -9-\sqrt{2}}[/tex]

Answer:

Step-by-step explanation:

1/144

hope this helps :)

Answer: 227 is a rational number because it can be expressed as the quotient of two integers: 227 ÷ 1.

Step-by-step explanation:

The coordinates are  A'(14, 3), B'(-6. 2) and C'(-8, 6)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

given rule:

(x,y) -> (2x,y-3)

Also, we have

A(7,6), B(-3,5), and C(-4,9)

so, after applying the rule we have the coordinates

A'(14, 3)

B'(-6. 2)

C'(-8, 6)

Hence, the coordinates are A'(14, 3), B'(-6. 2) and C'(-8, 6)

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Answer: 7.6

Step-by-step explanation: