What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?

Answer:

Step-by-step explanation:

Equation 6x - 4= -4(X-5)                      Remove the brackets

Solution

6x - 4 = -4x + 20                                   Add 4x to both sides

6x + 4x -4 = -4x+4x + 20                      Combine

10x - 4 = 20                                           Add 4 to both sides

10x - 4 + 4 = 20 + 4                               Combine

10x = 24                                                 Divide by 10

10x/10 = 24/10

x = 2.4

Answer: x = 2.4

         In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x,

        So in other words, a logarithm is the power to which a number must be raised in order to get some other number . For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.

Hope this helps. Have a good day!

Answer:

It would be C.

Step-by-step explanation:

Hope this helps! :)

Answer:

The correct answer is $12

Step-by-step explanation:

To check, subtract 12 from 31

31 - 12 =19

Multiply 19 by 2

19 x 2 =38

Add 12

38 + 12 =50

Answer:

y=1/2x+2

Step-by-step explanation:

I found this out just by looking at the line

[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=4\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(4+5)\implies SA=10\pi (9) \\\\\\ SA=90\pi \implies SA\approx 282.743~km^2 \end{array}[/tex]

Answer:

If a= ⅓

Gradients are perpendicular if they are multipled they will equal to - 1

The percentage of the 8th graders to want to go to the water slides will be 70.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The percentage of the 8th graders want to go to the water slides is found from;

[tex]\% (8 ^{th} grade)= 0.46-(0.5 \times 34 \%+0.3 \times 50\%_)\\\\ \% (8 ^{th} grade)=0.46-(0.17+0.15)\\\\ \% (8 ^{th} grade)=0.14\\\\ \% (8 ^{th} grade)= \frac{0.14}{0.20} \\\\ \% (8 ^{th} grade)=70\%[/tex]

Hence, the percentage of the 8th graders to want to go to the water slides will be 70.

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Answer: Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation: Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.

Answer:

2

Step-by-step explanation:

8gallons=16 cup

8x16=128

62+2=64

128÷2=64

Answer:

10 = x

Step-by-step explanation:

I believe <B = <E.

<B = 50 = <E = 5x

50 = 5x

10 = x

Answer:

Step-by-step explanation:

Find each term

The series is

The sum of series can be shown as

Find the sum

Answer:

180

Step-by-step explanation:

The given series means to sum the first 10 terms of the sequence [tex]a_t=2t+7[/tex]

[tex]\begin{aligned}\displaystyle \sum^{10}_{t=1}2t+7 & = (2 \cdot 1+7)+(2 \cdot 2+7)+...+(2 \cdot 9+7)+(2 \cdot 10+7)\\ & =2(1+2+...+9+10)+10(7)\\\\& = 2(1+2+...+9+10)+70\\\\ & = 2(55)+70\\\\& = 110+70\\\\ & = 180 \end{aligned}[/tex]

The height of the pole and the building are 27.1 meters and 97.8 meters respectively.

The situation forms a right angle triangle. The height of the building can be found using trigonometric ratios,

Therefore,

tan 34 = opposite / adjacent

tan 34 = h / 145

h = 145 tan 34

h = 145 × 0.67450851684

h = 97.8037349422

Therefore,

height of the building = 97.8 meters

tan 26 = x / 145

x = 145 tan 26

x = 70.721225342 meters

Therefore,

height of the flagpole = 97.8 - 70.7 = 27.1 meters

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Using translation concepts, it is found that there was a horizontal compression of the function.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, there was a multiplication in the domain of the function, by a factor greater than 1, hence there was a horizontal compression of the function.

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Answer:131

Step-by-step explanation:

hope this helps <3

Answer:

f(7) = 9

Step-by-step explanation:

f(x) = 2x - 5, solve f(x) = 7.​

f(7) = 2(7) -5

f(7) = 9

Answer:

Step-by-step explanation:

Converting all fractions to decimal (for easier comparison) :

Hence,

Answer:

O is in between m and p so it is 6

Step-by-step explanation:

In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.

Check the picture below.

Answer:

a.i.

[tex]mab = \frac{ya - yb}{ xa - xb} = \frac{8 - 4}{9 - 12} = \frac{4}{ -3} [/tex]

a.ii.

[tex]mc = mab = \frac{4}{ - 3} \\ (y - y1) = m(x - x1) \\ y - ( - 2) = \frac{4}{ - 3}(x - 4) \\ y + 2 = \frac{4}{ - 3}x + \frac{16}{3} \\ y = \frac{4}{ - 3} x + \frac{16}{ 3} - 2 \\ y = \frac{4}{ - 3}x + \frac{10}{3} [/tex]

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

          What is the mean of 7, 10, 13, 4, 12, 21, 10, 3?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

    ❖ First, add all the numbers together:-

7+10+13+4+12+21+10+3

Addition results in:-

80

Now divide by how many numbers there are (here we have 8):-

80÷8=10

So we conclude that the mean is 10.

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

Answer:

x=31

KPN =62

NPO=28

Step-by-step explanation:

KPO = 90(right angle) =2x + (x-3)

3X=90+3

X= 31

NPO = 31-3

NPO=28

KPN = 2*31

KPN =62

Answer:

180 feet

Step-by-step explanation:

Starting number is 300.  Four moves of 30 feet is 120 feet.

30x4 = 120

300-120 = 180

Answer:

180 feet.

Step-by-step explanation:

Remark

You need some formal way of expressing what is happening. You start at 300 feet below sea level, and make make 4 moves of 30 feet each. Where are you and how much further do you have to go to reach the surface?

Equation

Distance to go = distance in feet below sea level - number of moves *  feet / move.

Givens.

original distance below sea level = 300 feet.

number of moves = 4

distance towards the surface for each move = 30  feet.

Distance to go. = ?

Solution

Distance to go = 300  - 4*30

Distance to go = 300 - 120

Distance to go = 180 feet

Answer:

See below ~

Step-by-step explanation:

Q2

Q3

Q4

Q5

The measure of the angle ∠ABC will be 40 degrees. Then the correct option is B.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

In the diagram, the measure of the arc from A to B not passing through C is 80 degrees.

Then the measure of angle ACB will be

We know that Angles subtended by the very same arc at any position on the circular path are half of the angles subtended by the very same arc at the centre.

Then we have

2∠ABC = ∠AOB

2∠ABC = 80°

 ∠ABC = 40°

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Answer:

3x√5 + 5√3x + 6√10x + 10√6 (Option 2)

Step-by-step explanation:

Applying the distributive property :

⇒ (√(3x) + √5)(√(15x) + 2√30)

⇒ √(3x)√(15x) + √5√(15x) + √(3x)(2√30) + √5(2√30)

⇒ √45x² + √75x + 2√90x + 2√150

⇒ 3x√5 + 5√3x + 6√10x + 10√6

Let's see

Option B