1. Two-thirds of the sum of the number x and 5 is written
2x+5
a.
2
-x+ 5
3
b. §
(5x) <(x+5)
d.
e. x+ķ(x+5)
{(+5)
3

Answer:

y=(x/2)+5

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept form. To get that, we need y by itself so we have to add 3x to both sides: 6y=30+3x. Now we divide by 6 and rearrange the right side: y=(3x+30)/6.

y = (3x/6)+(30/6) => y = (x/2)+5. We also know that the slope is 1/2 and the y-intercept is 5 because of the slope-intercept equation.

The more accurate value is 12.6274169979696, though it's not fully exact.

Round this however you need to.

The exact distance 32*sin(45) - 10 meters.

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

Explanation:

Refer to the diagram below.

I'll use point A in place of point O since the letter 'oh' is very similar looking to the number zero.

Plot point A at the origin (0,0). While at point A, look directly north. Then turn 30 degrees eastward to look at the bearing 030°. Next, move 20 meters along that bearing direction to arrive at point R. Segment AR is 20 meters long.

In the diagram, note how angle RAB is 30 degrees. The side opposite this is BR = m.

We can use the sine ratio to say that

sin(angle) = opposite/hypotenuse

sin(A) = BR/AR

sin(30) = m/20

m = 20*sin(30)

m = 10

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

While still at point A, look directly north and turn 135 degrees clockwise (ie toward the east) and move 32 meters along that bearing. You'll arrive at point S as the diagram shows.

Notice how

angle RAB + angle RAC + angle CAS = 30+60+45 = 135

The remaining angle DAS is 180-135 = 45 degrees.

When focusing on triangle DAS, we can say

sin(A) = DS/AS

sin(45) = n/32

n = 32*sin(45)

n = 22.6274169979696

This value is approximate.

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

Subtract the values of m and n

n - m = 32*sin(45) - 10 = exact distance

n - m = 22.6274169979696 - 10

n - m = 12.6274169979696

n - m = 12.6274 = approximate distance

Round it however you need to. I'm choosing to round to four decimal places.

So we see that point S is roughly 12.6274 meters east of point R.

If your teacher wants the exact distance, then stick with 32*sin(45)-10.

Answer:

.

Step-by-step explanation:

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Answer:

The estimate for the proportion of people who were caught after being on the 10 Most Wanted list is of 0.37.

Step-by-step explanation:

Estimate of the proportion of people who were caught after being on the 10 Most Wanted list.

Number of people captured divided by the size of the sample.

We have that:

514 of 1390 people were captured. So

514/1390 = 0.37

The estimate for the proportion of people who were caught after being on the 10 Most Wanted list is of 0.37.

Answer:

The surface area of the rectangular prism is of 22 square millimeters.

Step-by-step explanation:

Surface area of rectangular prism:

The surface area of a rectangular prism with length l, width w and height h is given by:

[tex]S = 2(lw + lh + wh)[/tex]

Length 12 mm, width 3mm and height 5 mm

This means that [tex]l = 12, w = 3, h = 5[/tex]

Surface area:

[tex]S = 2(lw + lh + wh) = 2(12(3) + 12(5) + 3(5)) = 2(36 + 60 + 15) = 2(111) = 222[/tex]

The surface area of the rectangular prism is of 22 square millimeters.

Answer: 1360 cubic meter

Step-by-step explanation:

Volume of solid= Length*width*height

                          =8*17*10

                          =1360  cubic meter

Answer:

Point A’ is at (-2,-2)

& point D' is at (4,-2)

Step-by-step explanation:

Point A’ => (-1×2, -1×2) => (-2 , -2)

Point D' => (2×2 , -1×2) => (4 , -2)

A is at (-1,-1)

So A' is at

D is at

D' is at.

Answer:

the distance between the 2 points is 6.4 units.

Step-by-step explanation:

point 1 has the coordinates (-4, -2).

point 2 has the coordinates (1, 2).

the distance between both points is the Hypotenuse of the right- angled triangle of the coordinate difference lines in parallel to x- and y-axis.

so, how long is the difference in x dimension ?

and his long is the difference in y dimension ?

these are the sides of the triangle.

the difference in x dimension :

1 - -4 = 1 + 4 = 5

the difference in y dimension :

2 - -2 = 2 + 2 = 4

P1P2² = 4² + 5² = 16 + 25 = 41

P1P2 = sqrt(41) = 6.4

Answer:

3.605551275

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

9+10+11+12+13+14=69

The [tex]HIGHEST[/tex] of these numbers is [tex]14[/tex]

Let the [tex]CONSECUTIVE[/tex] numbers be : [tex]a, a+1, a +2,a+3,a+4,a+5[/tex]

Taking the sum :

[tex]a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 = 69\\6a + 15 = 69\\6a = 69 - 15\\6a = 54\\a = 54 / 6\\a = 9[/tex]

[tex]HIGHEST[/tex] value = [tex]a + 5 = 9 + 5 = 14[/tex]

Hence, [tex]HIGHEST[/tex] value = [tex]14[/tex]

Learn more : https://brainly.com/question/15974141

Hey there! The topic for this problem is Limit of Function!

As for the question, we are given the quadratic function and we have to find the limit, the value that approaches to a.

[tex] \large \boxed{lim_{x \longrightarrow a} f(x)}[/tex]

We call this, "The limit of f(x) when x approaches a."

Then you may ask, "How do we find the limit of function?". That is a very nice question! The answer to your problem is just substitute x-value in. Although this substitution method only applies when the approaching value doesn't make the denominator to 0. I believe that in the beginning of Limit topic, we learn how to find or evaluate the basic limit that only requires substitution.

So from the question, we receive:

[tex] \large{lim_{x \longrightarrow 2} ( {x}^{2} - 3x - 1)}[/tex]

Next step is to substitute x = 2 in the function.

[tex] \large{lim_{x \longrightarrow 2} ( {2}^{2} - 3(2) - 1)}[/tex]

Evaluate the value.

[tex] \large{lim_{x \longrightarrow 2} ( 4 - 6 - 1)} \\ \large{lim_{x \longrightarrow 2} ( - 3)}[/tex]

Cancel the limit out and there you have it!

[tex] \large \boxed{ - 3}[/tex]

Answer

Now whenever you learn limit, you must know that limit is when we substitute the approaching value. That means x —> 2 is not x = 2 but x approaches 2.

Regarding the limit, any questions and doubts can be asked through comment and I will get back to you soon!

Thank you for using Brainly and I hope you have a fantastic day! Good luck on the assignment.

Answer:

I think about point Y ......

If planes A and B intersect, point w describes the intersection of line m and line n.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.

In the given figure, the planes A and B intersected.

We have to find the point where the line l and line m intersects.

The intersection of a line and a line can be the empty set, a point, or another line.

Two straight lines will intersect at a point if they are not parallel.

The point of intersection is the meeting point of two straight lines.

The lines m and line n are intersected at the point w.

Hence, if planes A and B intersect, point w describes the intersection of line m and line n.

To learn more on Coordinate system click:

https://brainly.com/question/29762404

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Answer:

y = -4x+14

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

m = (2-10)/(3-1)

  =-8/2

  = -4

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -4x+b

Substitute a point into the equation

10 = -4(1)+b

Add 4 to each side

14 = b

y = -4x+14

Answer:

y=-4x+14

Step-by-step explanation:

m=y1-y2/(x1-x2) and m= y-y1/x-x1

10-2/1-3=-4

m=-4     so          -4=y-10/x-1

                           -4x+4=y-10

                            -4x+14=y

9514 1404 393

Answer:

  y = 5/4(x -1)

Step-by-step explanation:

The slope formula can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(1 -5) = -5/-4 = 5/4

The point-slope form is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Using the point (1, 0), we can write the equation as ...

  y = 5/4(x -1)

9514 1404 393Answer:

  21·a^5·b^2

Step-by-step explanation:

The k-th term is ...

  C(7, k)·a^(7-k)·b^k . . . . . where k counts from 0 to n

Then k=2 for the third term. The coefficient of it is ...

  C(7, 2) = 7!/(2!(7-2)!) = 7·6/(2·1) = 21

The third term is ...

  21·a^5·b^2

Answer:

Step-by-step explanation:

y = 2x-8

2x = y+8

x = 0.5y+4

inverse function: y = 0.5x+4

Answer:

1/4 n = 8

n = 8 * 4

n = 32

so option 4 i.e.

n = 32. is the ans

Answer:

n=32

Step-by-step explanation:

Given :

[tex]\frac{1}{4} n=8[/tex]

Now,

Value of n can be calculated as :

[tex]\frac{1}{4} n=8[/tex]

n=8×4

n=32

Therefore, option (D) is correct.

Answer:

V< 6

Step-by-step explanation:

11+2v > -7-v

3v> -18

v<6

Answer:

Answer: 3) R(n) = 1200(1.002)n - 100n

Step-by-step explanation:

After n months, which function represents Chet’s net worth, R(n)?

(1) R(n) = 1200(1.002)n + 100n

(2) R(n) = 1200(1.002)12n + 100n

(3) R(n) = 1200(1.002)n - 100n

(4) R(n) = 1200(1.002)12n - 100n

Answer: 3) R(n) = 1200(1.002)n - 100n

Net worth is the amount of his savings minus his debt,

Everything in the problem is in terms of months, so there is no need to multiply the exponent by 12, which would convert n years into months.

Answer:

15 mph

Step-by-step explanation

i used a calculator but correct me if im wrong pls

Answer:

0.098 , 0.89, 0.98

Step-by-step explanation:

0.098 is the smallest, 0.98 is the closest to 1 so it's the biggest

Answer:

D. The graph of g(x) is the graph of f(x) compressed vertically and then reflected over the x axis.

Step-by-step explanation:

A function shows the relationship between two or more variables.

If a function y = f(x) is reflected over the x axis, the x coordinate remain unchanged, but the y coordinate is negated. Hence the function y = f(x) becomes y = -f(x).

A function y = f(x) is compressed or stretched vertically by a factor k to give y = kf(x). If 0 < k < 1, the function is vertically compressed whereas if k > 1, the function is vertically stretched.

Given the function f(x) = x², the function is vertically compressed by a factor of 2/3 to form a function f(x)' = (2/3)x². The function is then reflected over the x axis to produce a function g(x) = (-2/3)x²

Answer:

3.6

Step-by-step explanation:

set-up percentage like this!

[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]

Then use what you know from the question to fill in the blanks

Answer: [tex]\frac{6}{100} =\frac{?}{60}[/tex]

Then: [tex]60[/tex] × 6 ÷ 100 = 3.6

Final Answer: 3.6

Answer:  y = 57°;

               Angle Values: 66° and 114°.

Step-by-step explanation:

The sum of the corresponding angles is 180°.

y + 9 + 2y = 180

3y = 180 - 9

3y = 171

y = 57

Angle Values:

57° + 9° = 66°

57° · 2 = 114°

Answer:

1/8

Step-by-step explanation:

Hope this helps you! <33

Answer:

1/8

Step-by-step explanation:

We all know 1/2 is 0.5, right?

If you split that in half again, you get 0.25 as 1/4.

If you divide that again by two, you get 1/8 as 0.125

Answer:

Diagram? I don't see a diagram.

Where is the diagram?

Step-by-step explanation:

Step-by-step explanation:

area of a circle=πr²

=42.29m²

42.29m²=πr²

then find for r, multiply it by two to obtain the diameter of the circle

Answer:

Step-by-step explanation:

Larry's gross pay is:

We can find Larry's gross pay,

→ 12200×8.5/100+(12200-6800)×4.25/100

→ 1037 +229.50

→ 1266.50

Hence, $ 1266.50 is the solution.

Step-by-step explanation:

We use the symbol f − 1 to denote an inverse function. For example, if f (x) and g (x) are inverses of each other, then we can symbolically represent this statement as:

g(x) = f − 1(x) or f(x) = g−1(x)

One thing to note about the inverse function is that the inverse of a function is not the same as its reciprocal, i.e., f – 1 (x) ≠ 1/ f(x). This article will discuss how to find the inverse of a function.

Since not all functions have an inverse, it is therefore important to check whether a function has an inverse before embarking on determining its inverse.

We check whether or not a function has an inverse in order to avoid wasting time trying to find something that does not exist.