What is the distance between 7.65 and -4.18 on a number line

Answer:

D. x=4 did the test on edge

Step-by-step explanation:

Answer:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

4b+4<20-12b

16b<16

b<1 olur.

İYİ DERSLER!

Answer:

See answer in the image below.

Answer:

for question no 4

answer is 53

for question no 5

answer is -10

Answer:

[tex]d=2\sqrt{17}\approx8.2462[/tex]

Step-by-step explanation:

To find the distance between two points, use the distance formula.

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(5-3)^2+(4--4)^2[/tex]

Simplify:

[tex]d=\sqrt{(2)^2+(8)^2[/tex]

Square:

[tex]d=\sqrt{4+64}[/tex]

Add:

[tex]d=\sqrt{68}[/tex]

Simplify:

[tex]d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}[/tex]

Simplify:

[tex]d=2\sqrt{17}\approx8.2462[/tex]

Answer:

[tex]\boxed{2\sqrt{17}}[/tex]

Step-by-step explanation:

To find the distance between two points, we use the distance formula. The distance formula is:

[tex]\boxed{d=\sqrt{(x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2}}}}[/tex]

Therefore, we can label our coordinate pairs and solve for d.

Because we are given two coordinate pairs, we will follow the standard naming system for coordinate pairs. This is [tex](x_{1}, y_{1}) \text \: {and} \: (x_{2}, y_{2})[/tex]. Therefore, we can implement the distance formula and solve.

[tex]\sqrt{(5-3)^{2}+(4-(-4))^{2}}\\\\\sqrt{(2)^{2}+(8)^{2}}\\\\\sqrt{4 + 64} \\\\\sqrt{68} \\\\\boxed{2\sqrt{17} }[/tex]

Answer:

12

Step-by-step explanation:

Given

[tex]\frac{3}4}[/tex] ÷ [tex]\frac{1}{16}[/tex]

Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

[tex]\frac{3}{4}[/tex] × [tex]\frac{16}{1}[/tex] ← cancel 4 and 16 by 4

= [tex]\frac{3}{1}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{4(3)}{1(1)}[/tex] = [tex]\frac{12}{1}[/tex] = 12

Answer:

3x^2-4x-5x^2+8x.

which is collect like terms.

3x^2-5x^2-4x+8x.

-2x^2+4x.

The answer is option B

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x=1.8888...

 10x=18.8888...

10x-x=18.8888...- 1.8888...

  9x=17

    x=17/9

So 1.8888... is equal to 17/9

Answer:

1,888 is equal [tex]\frac{17}{9}[/tex]

Step-by-step explanation:

x = 1,888...

10x = 18,88...

10x - x = 18,88 - 1,88

9x = 17

x = [tex]\frac{17}{9}[/tex]

Answer:

1-->15 min

4-->x min

Step-by-step explanation:

x=15×4=60

4 buses will take 60 min to refill

In hours, 60min÷60=1 hour

Answer:

Step-by-step explanation:

x=15×4=60

4 buses will take 60 min to refill

In hours, 60min÷60=1 hour

Answer:

[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}=1[/tex]

[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

Step-by-step explanation:

So we want to left and right hand limits of the function:

[tex]f(x)=\sin{\frac{\pi}{\floor[x]}[/tex]

as x approaches 3.

Note that the [x] means the floor function a.k.a the greatest integer function. In other words, the value of the function will be the greatest integer less than or equal to x.

1) Left

So we have the limit:

[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}[/tex]

Note that since we're coming from the left, the values are 2.9, 2.99, and 2.999...

As I mentioned previously, the floor function outputs the greatest integer less than or equal to x.

With 2.9, 2.99, and 2.999, the greatest integer less than or equal to x is 2.

Therefore:

[tex]=\sin{\frac{\pi}{2}[/tex]

Simplify:

[tex]=1[/tex]

So:

[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}=1[/tex]

2) Right:

[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}[/tex]

Since we're coming from the right this time, the values are going to be 3.01, 3.001, 3.001.

And, the greatest integer less than or equal to 3.01, 3.001, and 3.001... is 3.

Therefore:

[tex]=\sin{\frac{\pi}{3}[/tex]

Simplify:

[tex]=\frac{\sqrt3}{2}[/tex]

So:

[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

At 3:

So we have:

[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}[/tex]

The greatest integer of 3 is just 3. So:

[tex]=\sin{\frac{\pi}{3}\\[/tex]

Simplify:

[tex]=\frac{\sqrt3}{2}[/tex]

So:

[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

Answer: 18.5

Step-by-step explanation:

The way to find the mean of a data set is to add up all the values and then divide by the number of data points.

First add up all of the values. 12+14+22+14+18+23+42+13+9+19+22+14=222.

Now count how many data points there are. There are 12 data points.

Finally, divide the sum you got by the number of data points. 222/12=18.5

Answer:

  8

Step-by-step explanation:

The product of terms on the left of the equal sign is ...

  (x+6)(x+k) = x^2 +(6+k)x +6k

So, you have two clues to the value of k. The coefficient of x must match, and the constant must match.

  6+k = 14   ⇒   k = 8

  6k = 48   ⇒   k = 8

The value of k is 8.

Answer:

            No real solution

Step-by-step explanation:

[tex]3x^2-4x+4=0\quad\implies\quad a=3\,,\quad b=-4\,,\quad c=4\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\cdot3\cdot4}}{2\cdot3}=\dfrac{4\pm\sqrt{-32}}{6}[/tex]

There is no solution in real number as it's no real √[-32]

{solutins in complex numbers would be: [tex]x_1=\frac{4+4\sqrt{2}\,i}{6}=\frac{2+2\sqrt{2}\,i}{3}\\ x_2=\frac{2-2\sqrt{2}\,i}{3}[/tex] }

Answer:

$170,000

Step-by-step explanation:

(1.05(85000))+1.02x=1.03(85000)+1.03y

honestly not sure but it's the best I got

123.45 = 12345 × 10−^2

Answer:

12345([tex]10^{-2}[/tex])

Step-by-step explanation:

To do this you would just multiply 123.45 by 100 so you have no decimals and you would get 12345 and then since is goes up by 100 you would get [tex]10^{-2}[/tex] because you would take 2 decimal places from that so you would get

12345([tex]10^{-2}[/tex]) as your answer

Answer:

f(x) = x + 2

Step-by-step explanation:

If we graph x + 2, we can see that it passes the Vertical Line Test. Each x-value only has 1 y-value.

Step-by-step explanation:

x+2<−5

Step 1: Subtract 2 from both sides.

x+2−2<−5−2

x<−7

Answer:

x<−7

Answer: Option A, the square root of 40, is an irrational number.

Step-by-step explanation:

We are given 4 options:

- the sqrt of 40

- the sqrt of 49

- the sqrt of 100

- the sqrt of 9

All but one are perfect squares. Let's find out which one is not a perfect square.

The sqrt of 49 is 7. 7 times 7 is equal to 49.

The sqrt of 100 is 10. 10 times itself is equal to 100.

The sqrt of 9 is 3. 3 times 3 is equal to 9.

What about the square root of 40?

We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!

Answer:

A. √40

Step-by-step explanation:

√49 = 7

√100 = 10

√9 = 3

but,

√40 = 6.32455532, so this is immperfect square

yeah this is just about right

Answer:

390625 or it could be 5⁸

Step-by-step explanation:

It could be either of those depending on the answer needed

Answer: is this about exponents. if yes then its 5 to the eighth power

Step-by-step explanation:

Divide each term in the bracket by 4:

=  

3

x

−

2

Explanation:

Multiplying by  

1

4

is the same as dividing by 4. - You are finding a quarter of something.

To find a quarter of the bracket, divide each coefficient by 4.

You will get two unlike terms so you will not be able to simplify them.

This is the reason why you cannot simplify inside the original bracket either.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line.

Answer:

18

Step-by-step explanation:

So we have the function:

[tex]h(n)=3n[/tex]

And we want to find h(6).

To do so, simply substitute 6 for n. In other words:

[tex]h(n)=3n\\h(6)=3(6)[/tex]

Multiply:

[tex]h(6)=18[/tex]

So, our answer is 18 :)

Answer:

h(6) = 18

Step-by-step explanation:

To evaluate h(6), substitute n = 6 into h(n) , that is

h(6) = 3(6) = 18

Answer:

MN = 292

Step-by-step explanation:

Given that M is between L and N then

MN = LN - ML = 365 - 73 = 292

Answer:

Well the real answer is 1st 2nd and 5th

Step-by-step explanation:

Just took the quiz

B={1,2,3,4,6,8,12,24}

n(B)=8

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{3 \:  ,  \: 6 \:  ,  \: 12}}}}}[/tex]

Step-by-step explanation:

Given,

E = { 1 , 2 , 3 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 }

Here, E is the universal set.

A = { x : x is a multiple of 3 }

Here, we have to list the multiples of 3 less than 16

A = { 3 , 6 , 9 , 12 , 15 }

B = { x : x is a factor of 24 }

Here, we have to list the factors of 24 less than 16 }

Factor of 24 means the numbers that can divide 24 easily.

Factor of 24 includes :

B = { 1 , 2 , 3 , 4 , 6 , 8 , 12 }

C = { x : x is an odd number }

Here, we have to list the odd numbers which are less than 16

C = { 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 }

Finding A ∩ B

Here, We have to find the common elements that are present in both A and B

{ 3 , 6 , 9 , 12 , 15 } ∩ { 1 , 2 , 3 , 4 , 6 , 8 , 12 }

= { 3 , 6 , 12 }

Hope I helped!

Best regards!!